{
 "metadata": {
  "name": "Typesetting Math Using MathJax"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Typesetting Math"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The Markdown parser included in IPython is MathJax-aware.  This means that you can freely mix in mathematical expressions using the [MathJax subset of Tex and LaTeX](http://docs.mathjax.org/en/latest/tex.html#tex-support).  [Some examples from the MathJax site](http://www.mathjax.org/demos/tex-samples/) are reproduced below, as well as the Markdown+TeX source."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Inline Typesetting (Mixing Markdown and TeX)"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "You can mix math and *Markdown* **text** in a paragraph:\n",
      "\n",
      "## Source\n",
      "``` This expression $\\sqrt{3x-1}+(1+x)^2$ is an example of a TeX inline equation in a **[Markdown-formatted](http://daringfireball.net/projects/markdown/)** sentence.  \n",
      "```\n",
      "## Display\n",
      "This expression $\\sqrt{3x-1}+(1+x)^2$ is an example of a TeX inline equation in a **[Markdown-formatted](http://daringfireball.net/projects/markdown/)** sentence.  "
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Display mode equations"
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "The Lorenz equations"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In IPython 0.13.1 you have to use `\\\\\\` for LaTeX newlines rather than just `\\\\`. This is fixed in master.\n",
      "\n",
      "### Source\n",
      "```\\begin{aligned}\n",
      "\\dot{x} & = \\sigma(y-x) \\\\\\\n",
      "\\dot{y} & = \\rho x - y - xz \\\\\\\n",
      "\\dot{z} & = -\\beta z + xy\n",
      "\\end{aligned}\n",
      "```\n",
      "### Display\n",
      "\\begin{aligned}\n",
      "\\dot{x} & = \\sigma(y-x) \\\\\\\n",
      "\\dot{y} & = \\rho x - y - xz \\\\\\\n",
      "\\dot{z} & = -\\beta z + xy\n",
      "\\end{aligned}"
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "The Cauchy-Schwarz inequality"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "You can also use ``$$`` to indicate display mode equations:\n",
      "\n",
      "### Source\n",
      "```$$\n",
      "\\left( \\sum_{k=1}^n a_k b_k \\right)^2 \\leq \\left( \\sum_{k=1}^n a_k^2 \\right) \\left( \\sum_{k=1}^n b_k^2 \\right)\n",
      "$$\n",
      "```\n",
      "### Display\n",
      "$$\n",
      "\\left( \\sum_{k=1}^n a_k b_k \\right)^2 \\leq \\left( \\sum_{k=1}^n a_k^2 \\right) \\left( \\sum_{k=1}^n b_k^2 \\right)\n",
      "$$"
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "The probability of getting \\(k\\) heads when flipping \\(n\\) coins"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Source\n",
      "```\\begin{equation*}\n",
      "P(E)   = {n \\choose k} p^k (1-p)^{ n-k} \n",
      "\\end{equation*}\n",
      "```\n",
      "### Display\n",
      "\\begin{equation*}\n",
      "P(E)   = {n \\choose k} p^k (1-p)^{ n-k} \n",
      "\\end{equation*}"
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Exercise"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Go to the [MathJax website](http://www.mathjax.org/) and copy an example equations.  Paste it into a Markdown cell and verify it gets rendered correctly. Then try some LaTeX of your own."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}