Refactoring interact examples.

examples/Widgets/Examples/Factoring.ipynb

@@ -0,0 +1,141 @@
+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:5f38c57d9570e4b6f6edf98c38a7bff81cd16365baa11fd40265f1504bfc008c"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Factoring Polynomials with SymPy"
+     ]
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Here is an example that uses [SymPy](http://sympy.org/en/index.html) to factor polynomials."
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from IPython.html.widgets import interact\n",
+      "from IPython.display import display"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from sympy import Symbol, Eq, factor, init_printing\n",
+      "init_printing(use_latex='mathjax')"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "x = Symbol('x')"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "def factorit(n):\n",
+      "    display(Eq(x**n-1, factor(x**n-1)))"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Notice how the output of the `factorit` function is properly formatted LaTeX."
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "factorit(12)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "latex": [
+        "$$x^{12} - 1 = \\left(x - 1\\right) \\left(x + 1\\right) \\left(x^{2} + 1\\right) \\left(x^{2} - x + 1\\right) \\left(x^{2} + x + 1\\right) \\left(x^{4} - x^{2} + 1\\right)$$"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        " 12                       \u239b 2    \u239e \u239b 2        \u239e \u239b 2        \u239e \u239b 4    2    \u239e\n",
+        "x   - 1 = (x - 1)\u22c5(x + 1)\u22c5\u239dx  + 1\u23a0\u22c5\u239dx  - x + 1\u23a0\u22c5\u239dx  + x + 1\u23a0\u22c5\u239dx  - x  + 1\u23a0"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "interact(factorit, n=(2,40));"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "latex": [
+        "$$x^{21} - 1 = \\left(x - 1\\right) \\left(x^{2} + x + 1\\right) \\left(x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1\\right) \\left(x^{12} - x^{11} + x^{9} - x^{8} + x^{6} - x^{4} + x^{3} - x + 1\\right)$$"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        " 21               \u239b 2        \u239e \u239b 6    5    4    3    2        \u239e \u239b 12    11    \n",
+        "x   - 1 = (x - 1)\u22c5\u239dx  + x + 1\u23a0\u22c5\u239dx  + x  + x  + x  + x  + x + 1\u23a0\u22c5\u239dx   - x   + x\n",
+        "\n",
+        "9    8    6    4    3        \u239e\n",
+        "  - x  + x  - x  + x  - x + 1\u23a0"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [],
+     "language": "python",
+     "metadata": {},
+     "outputs": []
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}