{
 "metadata": {
  "name": "",
  "signature": "sha256:c47e61a194d5b7fe9015e4a6494048a41f535f22a9a874def78f1a7fc13b1243"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[Sebastian Raschka](http://sebastianraschka.com)  \n",
      "last updated: 05/11/2014\n",
      "\n",
      "- Link to [this IPython Notebook](https://github.com/rasbt/python_reference/blob/master/funstuff/happy_mothers_day.ipynb) on GitHub\n",
      "- Link to the [GitHub repository](https://github.com/rasbt/python_reference)"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Happy Mother's Day!"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = np.arange(-1,1.001,0.001)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "y1 = (x**2)**(1.0/3) + np.sqrt(1-x**2)\n",
      "y2 = (x**2)**(1.0/3) - np.sqrt(1-x**2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import matplotlib.pyplot as plt\n",
      "\n",
      "plt.rcParams.update({'font.size': 12})\n",
      "fig = plt.figure(figsize=(8,8))\n",
      "plt.plot(x, y1, lw=15, color='r')\n",
      "plt.plot(x, y2, lw=15, color='r')\n",
      "plt.xlim(-1.2, 1.2)\n",
      "plt.title(\"Happy Mother's Day\")\n",
      "\n",
      "ftext = 'x = np.arange(-1,1.001,0.001)'\\\n",
      "        '\\ny1 = (x**2)**(1.0/3) + np.sqrt(1-x**2) '\\\n",
      "        '\\ny2 = (x**2)**(1.0/3) - np.sqrt(1-x**2)'\\\n",
      "        '\\n\\n\\n[inspired by a MATLAB impl. by TU Delft]'\n",
      "plt.figtext(.32,.45, ftext, fontsize=11, ha='left')\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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MGTlO1owxxpiR42TNGGOMGTkLQwfATEBGBvDgAfDkCfD8+b+3Fy+ArCwgO1vciACFAqhY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       "text": [
        "<matplotlib.figure.Figure at 0x105422790>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[Source: Equation was adopted from a [MATLAB implementation](https://twitter.com/tudelft/status/465500616891330561/photo/1) by researches from Delft University of Technology]"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}