更新文章

imaginedays · Mar 11, 2018 · 2f82f40 · 2f82f40
1 parent ebeb638
commit 2f82f40
Showing 1 changed file with 10 additions and 5 deletions.
diff --git a/contents/Machine_Learning/Gradient_descent.ipynb b/contents/Machine_Learning/Gradient_descent.ipynb
@@ -113,7 +113,12 @@
     "\n",
     "在来看看偏导数的定义：\n",
     "\n",
-    "$$ f_{x}(x_{0},y_{0}) = \\lim_{\\Delta x \\rightarrow 0} \\frac{f(x_{0} + \\Delta x , y_{0}) - f(x_{0},y_{0})}{\\Delta x} \\\\ f_{y}(x_{0},y_{0}) = \\lim_{\\Delta y \\rightarrow 0} \\frac{f(x_{0} , y_{0} + \\Delta y) - f(x_{0},y_{0})}{\\Delta y} $$ \n",
+    "$$ \n",
+    "\\begin{align*}\n",
+    "f_{x}(x_{0},y_{0}) & = \\lim_{\\Delta x \\rightarrow 0} \\frac{f(x_{0} + \\Delta x , y_{0}) - f(x_{0},y_{0})}{\\Delta x} \\\\ f_{y}(x_{0},y_{0}) & = \\lim_{\\Delta y \\rightarrow 0} \\frac{f(x_{0} , y_{0} + \\Delta y) - f(x_{0},y_{0})}{\\Delta y} \\\\\n",
+    "\\end{align*}\n",
+    "$$\n",
+    "\n",
     "\n",
     "![](https://ob6mci30g.qnssl.com/Blog/ArticleImage/68_4.png)\n",
     "\n",
@@ -289,7 +294,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -315,16 +320,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<matplotlib.legend.Legend at 0x7f7e38709438>"
+       "<matplotlib.legend.Legend at 0x7f7e38566d68>"
       ]
      },
-     "execution_count": 7,
+     "execution_count": 17,
      "metadata": {},
      "output_type": "execute_result"
     },