minor typos to avoid errors for pdf export

Author: t20100

optimization/Optimization.ipynb

@@ -176,14 +176,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6a2c9744",
    "metadata": {
     "slideshow": {
      "slide_type": "subslide"
     }
    },
    "source": [
-    "# Jupyter magic functions for profiling\n",
+    "## Jupyter magic functions for profiling\n",
     "\n",
     "Line magics:\n",
     "\n",
@@ -564,8 +563,8 @@
     "   $$ I(H,K) = \\left | \\sum_{n=0}^{N-1} \\sum_{m=0}^{N-1} \\Omega \\left (n,m \\right ) \\exp \\left [ 2 \\pi i \\left ( H n + K m \\right ) \\right ] \\right | ^2$$\n",
     "\n",
     "   With $R=N/2$ the radius of the disk, the support function $\\Omega\\left (n,m \\right )$ is defined as: \n",
-    "     * $ \\Omega \\left (n,m \\right ) = 0$  where $(n-N/2)^2+(m-N/2)^2>(N/2)^2$\n",
-    "     * $ \\Omega \\left (n,m \\right ) = 1$  where $(n-N/2)^2+(m-N/2)^2 \\leq (N/2)^2$\n",
+    "     * $\\Omega \\left (n,m \\right ) = 0$  where $(n-N/2)^2+(m-N/2)^2>(N/2)^2$\n",
+    "     * $\\Omega \\left (n,m \\right ) = 1$  where $(n-N/2)^2+(m-N/2)^2 \\leq (N/2)^2$\n",
     "\n",
     "2. How do these modifications affect the result? the execution speed?"
    ]