{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Custom Display Logic"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Overview"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As described in the [Rich Output](Rich%20Output.ipynb) tutorial, the IPython display system can display rich representations of objects in the following formats:\n",
"\n",
"* JavaScript\n",
"* HTML\n",
"* PNG\n",
"* JPEG\n",
"* SVG\n",
"* LaTeX\n",
"* PDF\n",
"\n",
"This Notebook shows how you can add custom display logic to your own classes, so that they can be displayed using these rich representations. There are two ways of accomplishing this:\n",
"\n",
"1. Implementing special display methods such as `_repr_html_` when you define your class.\n",
"2. Registering a display function for a particular existing class.\n",
"\n",
"This Notebook describes and illustrates both approaches."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Import the IPython display functions."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from IPython.display import (\n",
" display, display_html, display_png, display_svg\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Parts of this notebook need the matplotlib inline backend:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Special display methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The main idea of the first approach is that you have to implement special display methods when you define your class, one for each representation you want to use. Here is a list of the names of the special methods and the values they must return:\n",
"\n",
"* `_repr_html_`: return raw HTML as a string\n",
"* `_repr_json_`: return a JSONable dict\n",
"* `_repr_jpeg_`: return raw JPEG data\n",
"* `_repr_png_`: return raw PNG data\n",
"* `_repr_svg_`: return raw SVG data as a string\n",
"* `_repr_latex_`: return LaTeX commands in a string surrounded by \"$\"."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As an illustration, we build a class that holds data generated by sampling a Gaussian distribution with given mean and standard deviation. Here is the definition of the `Gaussian` class, which has a custom PNG and LaTeX representation."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from IPython.core.pylabtools import print_figure\n",
"from IPython.display import Image, SVG, Math\n",
"\n",
"class Gaussian(object):\n",
" \"\"\"A simple object holding data sampled from a Gaussian distribution.\n",
" \"\"\"\n",
" def __init__(self, mean=0.0, std=1, size=1000):\n",
" self.data = np.random.normal(mean, std, size)\n",
" self.mean = mean\n",
" self.std = std\n",
" self.size = size\n",
" # For caching plots that may be expensive to compute\n",
" self._png_data = None\n",
" \n",
" def _figure_data(self, format):\n",
" fig, ax = plt.subplots()\n",
" ax.hist(self.data, bins=50)\n",
" ax.set_title(self._repr_latex_())\n",
" ax.set_xlim(-10.0,10.0)\n",
" data = print_figure(fig, format)\n",
" # We MUST close the figure, otherwise IPython's display machinery\n",
" # will pick it up and send it as output, resulting in a double display\n",
" plt.close(fig)\n",
" return data\n",
" \n",
" def _repr_png_(self):\n",
" if self._png_data is None:\n",
" self._png_data = self._figure_data('png')\n",
" return self._png_data\n",
" \n",
" def _repr_latex_(self):\n",
" return r'$\\mathcal{N}(\\mu=%.2g, \\sigma=%.2g),\\ N=%d$' % (self.mean,\n",
" self.std, self.size)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create an instance of the Gaussian distribution and return it to display the default representation:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAAlEAAAGLCAYAAADnMccKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAALEgAACxIB0t1+/AAAGsJJREFUeJzt3X2QndddH/DvsUQs5cXIRoCNA9mGGIR5Dy9KiBMnMmnq\n",
"BAbamjOdYIOBafEMGd4MocEGUrAbG1Sgw7sLwWAI5bhT6tC0abCN4rQlSjEhmVAbG1yRRHgTYgsp\n",
"xEKOlKd/3LvmeiOvdo/26t6VPp9/ds9znufe32rvaL/znHOeU4ZhCAAAa3PWrAsAANiIhCgAgA5C\n",
"FABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRsIGVUraMv5ZSyq5Z1zMPSinnllK+atZ1AKc/\n",
"IQo2oFLKV5ZS3pPkQClla5IfTPIXp+i9P7eUclMp5d+XUv6glPIVp+J9n6KWraWUXy6lvHjp2DAM\n",
"B5K8opTyvFnVtRrHq32i77NLKb9SSvmuUsqvllIWTrYPWH9CFMypUsofl1JecZzjm5Jcn+Tnkrwo\n",
"yRcleWwYhvefgprOSnJtktcNw/A9SX4zydtKKdun/d7HqeU7k7w+yRVJyrLun0zyE6e6ptU6Qe1J\n",
"cluS24Zh+IUkv5rkd9ahD1hnQhTMoXEo+fKM/sgu97IkvzgMw68Ow/AnSb4/ya+fotIuSvI1ST5r\n",
"3P6dJM9I8o2n6P2fMAzDrwzD8ENJPnqcvseT3F9KedFaX7eUcnYp5UdKKftLKfeVUspE36tLKfeX\n",
"Un6/lPJPp1F7KeXzknzpMAz/c3zuO5N8finlczr7ntNbJ7AyIQrm08VJfiPJPy+lPG1Z38uS/GGS\n",
"lFLOS/IpwzB87BTV9XdJnp3kgiQZhuHo+Ni5p+j91+ItSV691ouGYTiS0Z2s25JcmImAOAzDm5L8\n",
"xjAMXz8Mw++tV6HLfEmSDyw79sGM7jr29H3NFGoEIkTBvPqKJD+S5ONJXrms7+xhGD4+/v5lSd59\n",
"qooahmH/MAzbh2H442Q0ByfJeUn+6FTVsAbvSfLCzmtfnOSOjIbEfnBZ3ydOpqhV+Iwkh5cdeyzJ\n",
"+Uk+vaPvM6dQI5Bk86wLAI7r3GEY9pdS3pTkqiT/JUlKKV+Q5P9OnPeFSf58+cWllG9J8vnDMFw3\n",
"bv/LJOcPw/ATE+dsS/LTOf6cnEk/MwzDe5+i77uSvGVpCOl4SinfkeS7M7p7tX1c7+NJXj4Mw4fX\n",
"sZYnGYbh4+PJ25uGYTi2mmsmfFWSmzK6k/OXpZQXD8PwjlLKjiz7955C7edm9O8z6fEkz0qytbMP\n",
"mAIhCubM+LEFS38MfzPJO0spnzkMw4eS/OMkbeL07UnedZyX+Wfja5d8U5KfnzxhGIa/TfLtJ1Hn\n",
"FyV5RZLLVjjnRzO6Q/L8jELGHyV5zTAMe9ezlhUsDTV+ZI3XbRqGYUjygVLK7yR5bZJ3ZHTn77cn\n",
"T5xC7Z80TyrJ05M8muMHtdX0AVNgOA/mz2VJ7kmSYRjeneT+JNeM+549DMPDE+c+LcnRyYvHq/cu\n",
"SXLXuL0lyQsynke1Hkopz8roTs0rh2E47h/p8V2zK5N8zzAMx8bzp/YlOZUTnR/PGv+fK6V8ZpLF\n",
"iUM/leTyUsrFGd0hPLSO9R3Pw0meuezYM8Y1LXb0fWgKNQJxJwrm0aXDMLx2ov2LSf5tKeWX8snD\n",
"NY8k2bbs2FckeWgYhoPj9ouTvC/Jx0op5y2FnlLKuUn+XfqGoW7K6I7Sw+PVa/9iGIbly+lfleRt\n",
"wzB8Yvx+mzMaJvu+5W9wkrWs5FMz+jdai8uSvG2pMQzD+0opb83osRL3Lj95CrW/M6PJ+0uvvzmj\n",
"4Pm+JB/r7AOmQIiCOVBKOSej0PFQkr9e1v3GJD+U5Pcy+mM96QMZTUSe9LXj11ny6ozubO0av/aj\n",
"yRMPpVzzMFQp5bUZzRXaMZ4j9DkZ3T1JKeUrk5wzDMPdSf4m41V8Y9+V5JeHYfjg8tfsrWWyrKc4\n",
"PkzOh1pW31N57ngV3qSfTLIno2dzLX+Dda19GIYPlFL+Xyll53jY8+VJ/mQYhvvHP0NXH7D+hCiY\n",
"Dy/MaK7Ngxk9H+oJ4wnS35Nkd8ZDdBPuSfIDy45dluRYKeXqJJ+S5O7xsc8bhuHOkylyPER3Y5JN\n",
"kyVmNME9Sb45o3lDX5bRIwLeMJ7U/swkHxmG4baTef9ltXxrksuTfHaSnymlvCPJDyytXBw/rfvP\n",
"ll326ozC5Jcd5/Wen9Gw6TeUUs4ahuHHn/gBh+GeUsp/T7J3+XXTqD3JtyS5vpTygozuLH7zxOW9\n",
"fcA6K6O5k8CsjR+W+KGJYbjVXnfnMAxfO/5+S5L9Ga3E+/jKV05HKeU7hmH4tVm897I6viXJJ4Zh\n",
"+K1lx+eiPmDjW9WdqFrr1yX5vNbaT9daL05yS5JjGU94ba1JYnCShmF4oPPSVkp5+TAMf5DRhPI/\n",
"nVWAGvvUGb73pMszejzEcvNSH7DBnXDVSq31mUle2Fr76fGh3UmuaK1dmuSBjFbfALPzxiTfON7X\n",
"7oszfqbULJRSXpXkpIYM16mOf5LkzeMVgZPH56I+4PSwmjtRNyS5qNb6n5L8WJLHWmtLy39vS3Lz\n",
"+CswA8MwHC2l3JDkW4dh+JkZ1/KWWb5/8sRquX80DMMvLe+bh/qA08eKd6JqrRcl2dRae1WS12T0\n",
"sL7J5cKPZLTlAzBDwzA8PAzDqdqEeK4Nw3DgeAEKYL2d6E7U5Un+c5K01hZrrR9J8mkT/duzwtNw\n",
"77rrLnOlAIAN47LLLjvRM9+ecKIQ9UhGy4H/sNb6rIw2uTxYa72gtfZwRpM2V5xfsJZiOLPVWl/f\n",
"Wnv9rOtg/vmssBY+L6zWWm/+nChE/cckv1RrvWfcfl1Ge1DdXms9luS+1trutZcJALCxrRiiWmvH\n",
"kvyr43RdMp1yAAA2BhsQAwB0EKIAADoIUcyTPbMugA1jz6wLYEPZM+sCOD1Nde+8u+66a7A6DwDY\n",
"CNaaW9yJAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAA\n",
"OghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA6bZ10AwOli\n",
"74P7b108dGRhqX3+OWfv23nRhVfPriJgmoQogHWyeOjIwg1377t0qX39roUZVgNMm+E8AIAOQhQA\n",
"QAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAAHYQoAIAOnlgOMGO2i4GNSYgCmDHbxcDGZDgP\n",
"AKCDEAUA0EGIAgDoIEQBAHQwsRxgzmzbunnHHfc+tCexUg/mmRAFMGcOHD665cbxaj0r9WB+Gc4D\n",
"AOggRAEAdBCiAAA6CFEAAB1MLAeYgcn98jadVXbMuBygwwlDVK310STvGTffmuT3k9yS5FiS+5Nc\n",
"01obplYhwGlocr+863YtHJx1PcDareZO1N7W2uVLjVrrf0tyRWttsdZ6bZIrk9w2rQIBAObRakLU\n",
"F9da70ny8STfnuSx1triuO+2JDdHiAIAzjCrmVj+3NbaS5K8LsmtSR6Z6HskyXlTqAsAYK6dMES1\n",
"1h4ff31XkseTfNpE9/Ykj06nNACA+bViiKq17qy1XjH+/vlJ9ifZUmu9YHzKVUnunG6JAADz50Rz\n",
"ou5L8sO11tdkdMfpmoyG726vtR5Lcl9rbfeUawQAmDsrhqjW2qEk37Ds8IeTXDK1igAANgBPLAcA\n",
"6CBEAQB0sO0LwJRs27p5xx33PrQnSc4/5+x9Oy+68OrZVgSsJyEKYEoOHD665cbx1i7X71qYcTXA\n",
"ejOcBwDQQYgCAOggRAEAdBCiAAA6mFgOcApMrtRLkk1nlR0zLAdYB0IUwCkwuVIvSa7btXBwlvUA\n",
"J89wHgBAByEKAKCDEAUA0EGIAgDoYGI5wBxbvqrPHnwwP4QogDm2fFWfPfhgfhjOAwDoIEQBAHQQ\n",
"ogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDo4InlABvU3gf337p46MjCUtuWMHBqCVEA\n",
"G9TioSMLN9gSBmbGcB4AQAchCgCggxAFANBBiAIA6GBiOcAGsm3r5h133PvQniTZdFbZMeNy4Iwm\n",
"RAFsIAcOH91y43hF3nW7Fg7Ouh44kxnOAwDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCD\n",
"EAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDosHk1J9Van5Pk\n",
"niTflOTvktyS5FiS+5Nc01obplYhAMAcOuGdqFrrWUlel+RNSUqS3UmuaK1dmuSBJFdOtUIAgDm0\n",
"muG8a5P8SpK/H5//WGttcdx3W5JdU6oNAGBurRiiaq1fnaS01t49cf6jE6c8kuS8KdUGADC3TjQn\n",
"aleSr6m1vjDJjiSvSvL+if7teXKoAgA4I6wYolprNy19X2v9sSRvTfKjtdYLWmsPJ7kqyZ3TLREA\n",
"YP6sanXeMtcmub3WeizJfa213etcEwDA3Ft1iGqt/ZuJ5iVTqAUAYMPwsE0AgA5CFABAByEKAKCD\n",
"EAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDosHnWBQAwHXsf\n",
"3H/r4qEjC0ly/jln79t50YVXz7YiOL0IUQCnqcVDRxZuuHvfpUly/a6FGVcDpx/DeQAAHYQoAIAO\n",
"QhQAQAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAAHYQoAIAOtn0BOE1s27p5xx33PrRnqb3p\n",
"rLJjhuXAaU+IAjhNHDh8dMuN473ykuS6XQsHZ1kPnO4M5wEAdBCiAAA6CFEAAB3MiQI4CXsf3H/r\n",
"4qEjC8l8T+RePun8/HPO3rfzoguvnl1FsPEJUQAnYfHQkYUbxpO553ki9/JJ59fvWphhNXB6MJwH\n",
"ANBBiAIA6CBEAQB0EKIAADqYWA6wBpOr8ZL5XpHXa/JntIoPnpoQBbAGk6vxkvlekddr8me0ig+e\n",
"muE8AIAOQhQAQAchCgCggxAFANDBxHKAFZwJq/GAPkIUwArOhNV4QB/DeQAAHYQoAIAOQhQAQAch\n",
"CgCggxAFANBhxdV5tdbNSX4tyfOSPJbku5OUJLckOZbk/iTXtNaGKdcJADBXTnQn6hlJ3thae1GS\n",
"b0/yw0l2J7mitXZpkgeSXDndEgEA5s+Kd6JaaweTvH3cXEjy4SRbWmuL42O3Jbl5/BUA4Iyxqodt\n",
"1lr/R0ZDei9O8vqJrkeSnLf+ZQEAzLdVTSxvrb0iyeVJfj5PDk3bkzw6hboAAObaiiGq1vrCWutL\n",
"xs2PJHl6ki211gvGx65KcucU6wMAmEsnGs77yyRvrLW+PqNVef86ycEkt9dajyW5r7W2e7olAgDM\n",
"nxNNLP9wkq87Ttcl0ykHAGBj8LBNAIAOQhQAQIdVPeIAgNPX3gf337p46MjCUnvTWWXHDMuBDUOI\n",
"AjjDLR46snDD3fsuXWpft2vh4CzrgY3CcB4AQAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAA\n",
"HYQoAIAOQhQAQAchCgCgg21fgDPS5H5x559z9r6dF1149WwrAjYaIQo4I03uF3f9roUZVwNsRIbz\n",
"AAA6CFEAAB2EKACADkIUAEAHIQoAoIMQBQDQQYgCAOggRAEAdBCiAAA6eGI5cMbbtnXzjjvufWjP\n",
"Uts2MMBqCFHAGe/A4aNbbhxvAZPYBgZYHcN5AAAdhCgAgA5CFABAByEKAKCDieUAy0yu1tt0Vtkx\n",
"43KAOSVEASwzuVrvul0LB2ddDzCfDOcBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGI\n",
"AgDoIEQBAHTwxHKAM5CtbeDkCVEAZyBb28DJM5wHANBBiAIA6CBEAQB0EKIAADqYWA5Al70P7r91\n",
"8dCRhaX2+eecvW/nRRdePbuK4NQSogDosnjoyMIN4xV+SXL9roUZVgOn3oohqtZ6VpJfSPKFGQ39\n",
"/UiSDyW5JcmxJPcnuaa1Nky5TgCAuXKiOVFfkuSB1tpLkrwqyeuS7E5yRWvt0iQPJLlyuiUCAMyf\n",
"Fe9Etdb+NMmfjptPT/K3SUprbXF87LYkN4+/AgCcMVa1Oq/Wel6S/5DkZ5McmOh6JMl5U6gLAGCu\n",
"nXBiea31M5K8Mcn3Jflgku+f6N6e5NHplAbAvJlckWfPPc50K96JqrV+VpJbk7ymtfZga+1wkq21\n",
"1gvGp1yV5M7plgjAvFhakXfD3fsuPfqJYcus64FZOtGdqGuTPCfJr9dak9Fdp2uT3F5rPZbkvtba\n",
"7umWCAAwf040sfzajELTcpdMpxwAgI3Bti8AAB2EKACADrZ9AeApbdu6eccd9z60Z6ltRR78AyEK\n",
"gKd04PDRLTdO7I933a6Fg7OsB+aJ4TwAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghR\n",
"AAAdhCgAgA6eWA6ctvY+uP/WxUNHFpLk/HPO3rfzoguvnm1FwOlEiAJOW4uHjizcMN6y5PpdCzOu\n",
"BjjdGM4DAOggRAEAdBCiAAA6CFEAAB1MLAdgXWzbunnHHfc+tGepbUUkpzshCoB1ceDw0S03jldD\n",
"JlZEcvoznAcA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQB\n",
"AHQQogAAOghRAAAdhCgAgA5CFABAh82zLgBgvex9cP+ti4eOLCy1N51VdsywHOA0J0QBp43FQ0cW\n",
"brh736VL7et2LRycZT3A6c1wHgBAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5C\n",
"FABAByEKAKCDbV+AM8K2rZt33HHvQ3uW2vbVA07WCUNUrXVbkjcleXtr7eZa68VJbklyLMn9Sa5p\n",
"rQ3TLRPg5Bw4fHTLjfbVA9bRaobzbkrylon27iRXtNYuTfJAkiunURgAwDw7YYhqrV2T5H1JUmvd\n",
"muSx1triuPu2JLumVx4AwHxa68Tyc5M8OtF+JMl561cOAMDGsNaJ5Qfy5NC0PU8OVQBTtffB/bcu\n",
"HjqysNQ+/5yz9+286MKrZ1cRT2VyMr/fE6ejNYWo1trhWuvWWusFrbWHk1yV5M7plAbwyRYPHVm4\n",
"YWKC+PW7FmZYDSuZnMzv98TpaC0hamkF3rVJbq+1HktyX2tt9/qXBQAw31YVolprb0/y9vH39ye5\n",
"ZJpFAQDMO08sBwDoIEQBAHSw7QuwoU2uALOVC3AqCVHAhja5AsxWLsCpZDgPAKCDEAUA0EGIAgDo\n",
"IEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgA\n",
"gA6bZ10AwEr2Prj/1sVDRxaW2pvOKjtmWA7AE4QoYK4tHjqycMPd+y5dal+3a+HgLOsBWGI4DwCg\n",
"gxAFANBBiAIA6CBEAQB0MLEcmLnlK/DOP+fsfTsvuvDq2VXEetu2dfOOO+59aM9Se6Xf8eTnwWeB\n",
"eSZEATO3fAXe9bsWZlgN03Dg8NEtN67ydzz5efBZYJ4ZzgMA6CBEAQB0EKIAADoIUQAAHUwsB+CU\n",
"m1ytt9IKvLWs6oNTTYgC4JSbXK230gq8tazqg1PNcB4AQAchCgCggxAFANBBiAIA6GBiOQAbxmpX\n",
"9S1nf0amQYgCYMNY7aq+5ezPyDQYzgMA6CBEAQB0EKIAADqYEwWcEmuZ2Ds5eXjTWWXHKSkQYI2E\n",
"KOCUWMvE3snJw9ftWjg4/eoA1s5wHgBAByEKAKCDEAUA0MGcKGDVDhw4sDXJxROHPn7uuee+d1b1\n",
"AMySEMXcqLW+tLW2Z9Z1sKKFO/7sb+58919/9Owk+fov2P7+Z33ksXcurbo7/1lPe/biRx//4NLJ\n",
"ttZgNSZXYyarX5G5/LrJz9vkatC/P/zYtmc84xnnr2fNkAhRzJeXJtkz4xo4gfv/5mPlf//Vwa1J\n",
"svNzzjnyscePPbHq7rpdCwdvvHvf5y6da2sNVmNyNWay+hWZy6+b/LwtXw1qlSfT0B2iaq0/leQF\n",
"Gc2r+v7W2t51qwoAYM51TSyvtb4iySdaay9O8sokP7muVQEAzLne1XkvS/JbSdJaO5jkz2qtz1m3\n",
"qgAA5lzvcN55SR6ZaH9kfOyvTroiYK699LnnPvZZ55z90SR53qc9/WkPHzoy65IAZqIMw7Dmi2qt\n",
"NyV5U2vtveP2Lya5qbX2/snz7rrrrrW/OADAjFx22WVltef23om6K8k3J3lvrXVbkouXB6i1FgIA\n",
"sJF0zYlqrf1BktRa35HkLUl+cD2LAgCYd13DeQAAZzp75wEAdBCiAAA6CFEAAB2mtnderfUlSX43\n",
"yZe21j48Pva9Sb4po/D2htbam6f1/mxMtdarM1qo8OHxoe9trb1ndhUxb2w5xVrUWh9NsvR/yFtb\n",
"azfPsh7my/gJA29K8vbW2s211ouT3JLkWJL7k1zTWnvKyeNTCVG11s9O8m1J7k5Sxsd2JHlBa+1F\n",
"tdbNSe6utb6ttfb306iBDWtI8uOttd+ddSHMn8ktp2qtn5rkzUkuPcFlnNn2ttYun3URzK2bMnrK\n",
"wDPH7d1JrmitLdZar01yZZLbnuriqQzntdY+0Fr7tiSPZ/RHMUlemuS3x/1Hk/zXJDun8f5seD9Q\n",
"a31XrXX3rAth7thyirX64lrrPbXWu2qtz551McyX1to1Sd6XJLXWrUkea60tjrtvS7JrpetP6k5U\n",
"rfXzk/zsssMfaq1dfZzTz0vy3on20lYxnIGe6rOT5Dtba78xPufnaq0vX3ouGcSWU6zdc1trj9da\n",
"vzrJG5JcNeuCmFvnJnl0ov1ITpBTTipEtdb+PMlqb5M+mmT7RPvTk/zFybw/G9cqPzu/l+TLkwhR\n",
"LFn6f+Svx+3teXKogidprT0+/vquWuv2E53PGe1AnhyatufJoeqTnIrVeUtbv9yd5NVJUmv9lCSv\n",
"TGJCKE9Sa31trfUzxs2vS3LvLOth7ixtObU0IfS4W05BktRad9Zarxh///z8Q/iGT9JaO5xka631\n",
"gvGhq5LcudI1pyJEDUnSWnsgyR/VWv9XknuS/FRrzfbvLPd/kry51vr2JI+21vbMuB7miC2nWKP7\n",
"klxVa92T5Pokr5ttOcyxpfnb1ya5ffw36Hmttd9e6SLbvgAAdPCwTQCADkIUAEAHIQoAoIMQBQDQ\n",
"QYgCAOggRAEAdBCiAAA6CFEAAB2EKACADv8fn0xUCxJB1sMAAAAASUVORK5CYII=\n"
],
"text/latex": [
"$\\mathcal{N}(\\mu=2, \\sigma=1),\\ N=1000$"
],
"text/plain": [
"<__main__.Gaussian at 0x10665a4e0>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = Gaussian(2.0, 1.0)\n",
"x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can also pass the object to the `display` function to display the default representation:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAAlEAAAGLCAYAAADnMccKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAALEgAACxIB0t1+/AAAGsJJREFUeJzt3X2QndddH/DvsUQs5cXIRoCNA9mGGIR5Dy9KiBMnMmnq\n",
"BAbamjOdYIOBafEMGd4MocEGUrAbG1Sgw7sLwWAI5bhT6tC0abCN4rQlSjEhmVAbG1yRRHgTYgsp\n",
"xEKOlKd/3LvmeiOvdo/26t6VPp9/ds9znufe32rvaL/znHOeU4ZhCAAAa3PWrAsAANiIhCgAgA5C\n",
"FABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRsIGVUraMv5ZSyq5Z1zMPSinnllK+atZ1AKc/\n",
"IQo2oFLKV5ZS3pPkQClla5IfTPIXp+i9P7eUclMp5d+XUv6glPIVp+J9n6KWraWUXy6lvHjp2DAM\n",
"B5K8opTyvFnVtRrHq32i77NLKb9SSvmuUsqvllIWTrYPWH9CFMypUsofl1JecZzjm5Jcn+Tnkrwo\n",
"yRcleWwYhvefgprOSnJtktcNw/A9SX4zydtKKdun/d7HqeU7k7w+yRVJyrLun0zyE6e6ptU6Qe1J\n",
"cluS24Zh+IUkv5rkd9ahD1hnQhTMoXEo+fKM/sgu97IkvzgMw68Ow/AnSb4/ya+fotIuSvI1ST5r\n",
"3P6dJM9I8o2n6P2fMAzDrwzD8ENJPnqcvseT3F9KedFaX7eUcnYp5UdKKftLKfeVUspE36tLKfeX\n",
"Un6/lPJPp1F7KeXzknzpMAz/c3zuO5N8finlczr7ntNbJ7AyIQrm08VJfiPJPy+lPG1Z38uS/GGS\n",
"lFLOS/IpwzB87BTV9XdJnp3kgiQZhuHo+Ni5p+j91+ItSV691ouGYTiS0Z2s25JcmImAOAzDm5L8\n",
"xjAMXz8Mw++tV6HLfEmSDyw79sGM7jr29H3NFGoEIkTBvPqKJD+S5ONJXrms7+xhGD4+/v5lSd59\n",
"qooahmH/MAzbh2H442Q0ByfJeUn+6FTVsAbvSfLCzmtfnOSOjIbEfnBZ3ydOpqhV+Iwkh5cdeyzJ\n",
"+Uk+vaPvM6dQI5Bk86wLAI7r3GEY9pdS3pTkqiT/JUlKKV+Q5P9OnPeFSf58+cWllG9J8vnDMFw3\n",
"bv/LJOcPw/ATE+dsS/LTOf6cnEk/MwzDe5+i77uSvGVpCOl4SinfkeS7M7p7tX1c7+NJXj4Mw4fX\n",
"sZYnGYbh4+PJ25uGYTi2mmsmfFWSmzK6k/OXpZQXD8PwjlLKjiz7955C7edm9O8z6fEkz0qytbMP\n",
"mAIhCubM+LEFS38MfzPJO0spnzkMw4eS/OMkbeL07UnedZyX+Wfja5d8U5KfnzxhGIa/TfLtJ1Hn\n",
"FyV5RZLLVjjnRzO6Q/L8jELGHyV5zTAMe9ezlhUsDTV+ZI3XbRqGYUjygVLK7yR5bZJ3ZHTn77cn\n",
"T5xC7Z80TyrJ05M8muMHtdX0AVNgOA/mz2VJ7kmSYRjeneT+JNeM+549DMPDE+c+LcnRyYvHq/cu\n",
"SXLXuL0lyQsynke1Hkopz8roTs0rh2E47h/p8V2zK5N8zzAMx8bzp/YlOZUTnR/PGv+fK6V8ZpLF\n",
"iUM/leTyUsrFGd0hPLSO9R3Pw0meuezYM8Y1LXb0fWgKNQJxJwrm0aXDMLx2ov2LSf5tKeWX8snD\n",
"NY8k2bbs2FckeWgYhoPj9ouTvC/Jx0op5y2FnlLKuUn+XfqGoW7K6I7Sw+PVa/9iGIbly+lfleRt\n",
"wzB8Yvx+mzMaJvu+5W9wkrWs5FMz+jdai8uSvG2pMQzD+0opb83osRL3Lj95CrW/M6PJ+0uvvzmj\n",
"4Pm+JB/r7AOmQIiCOVBKOSej0PFQkr9e1v3GJD+U5Pcy+mM96QMZTUSe9LXj11ny6ozubO0av/aj\n",
"yRMPpVzzMFQp5bUZzRXaMZ4j9DkZ3T1JKeUrk5wzDMPdSf4m41V8Y9+V5JeHYfjg8tfsrWWyrKc4\n",
"PkzOh1pW31N57ngV3qSfTLIno2dzLX+Dda19GIYPlFL+Xyll53jY8+VJ/mQYhvvHP0NXH7D+hCiY\n",
"Dy/MaK7Ngxk9H+oJ4wnS35Nkd8ZDdBPuSfIDy45dluRYKeXqJJ+S5O7xsc8bhuHOkylyPER3Y5JN\n",
"kyVmNME9Sb45o3lDX5bRIwLeMJ7U/swkHxmG4baTef9ltXxrksuTfHaSnymlvCPJDyytXBw/rfvP\n",
"ll326ozC5Jcd5/Wen9Gw6TeUUs4ahuHHn/gBh+GeUsp/T7J3+XXTqD3JtyS5vpTygozuLH7zxOW9\n",
"fcA6K6O5k8CsjR+W+KGJYbjVXnfnMAxfO/5+S5L9Ga3E+/jKV05HKeU7hmH4tVm897I6viXJJ4Zh\n",
"+K1lx+eiPmDjW9WdqFrr1yX5vNbaT9daL05yS5JjGU94ba1JYnCShmF4oPPSVkp5+TAMf5DRhPI/\n",
"nVWAGvvUGb73pMszejzEcvNSH7DBnXDVSq31mUle2Fr76fGh3UmuaK1dmuSBjFbfALPzxiTfON7X\n",
"7oszfqbULJRSXpXkpIYM16mOf5LkzeMVgZPH56I+4PSwmjtRNyS5qNb6n5L8WJLHWmtLy39vS3Lz\n",
"+CswA8MwHC2l3JDkW4dh+JkZ1/KWWb5/8sRquX80DMMvLe+bh/qA08eKd6JqrRcl2dRae1WS12T0\n",
"sL7J5cKPZLTlAzBDwzA8PAzDqdqEeK4Nw3DgeAEKYL2d6E7U5Un+c5K01hZrrR9J8mkT/duzwtNw\n",
"77rrLnOlAIAN47LLLjvRM9+ecKIQ9UhGy4H/sNb6rIw2uTxYa72gtfZwRpM2V5xfsJZiOLPVWl/f\n",
"Wnv9rOtg/vmssBY+L6zWWm/+nChE/cckv1RrvWfcfl1Ge1DdXms9luS+1trutZcJALCxrRiiWmvH\n",
"kvyr43RdMp1yAAA2BhsQAwB0EKIAADoIUcyTPbMugA1jz6wLYEPZM+sCOD1Nde+8u+66a7A6DwDY\n",
"CNaaW9yJAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAA\n",
"OghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA6bZ10AwOli\n",
"74P7b108dGRhqX3+OWfv23nRhVfPriJgmoQogHWyeOjIwg1377t0qX39roUZVgNMm+E8AIAOQhQA\n",
"QAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAAHYQoAIAOnlgOMGO2i4GNSYgCmDHbxcDGZDgP\n",
"AKCDEAUA0EGIAgDoIEQBAHQwsRxgzmzbunnHHfc+tCexUg/mmRAFMGcOHD665cbxaj0r9WB+Gc4D\n",
"AOggRAEAdBCiAAA6CFEAAB1MLAeYgcn98jadVXbMuBygwwlDVK310STvGTffmuT3k9yS5FiS+5Nc\n",
"01obplYhwGlocr+863YtHJx1PcDareZO1N7W2uVLjVrrf0tyRWttsdZ6bZIrk9w2rQIBAObRakLU\n",
"F9da70ny8STfnuSx1triuO+2JDdHiAIAzjCrmVj+3NbaS5K8LsmtSR6Z6HskyXlTqAsAYK6dMES1\n",
"1h4ff31XkseTfNpE9/Ykj06nNACA+bViiKq17qy1XjH+/vlJ9ifZUmu9YHzKVUnunG6JAADz50Rz\n",
"ou5L8sO11tdkdMfpmoyG726vtR5Lcl9rbfeUawQAmDsrhqjW2qEk37Ds8IeTXDK1igAANgBPLAcA\n",
"6CBEAQB0sO0LwJRs27p5xx33PrQnSc4/5+x9Oy+68OrZVgSsJyEKYEoOHD665cbx1i7X71qYcTXA\n",
"ejOcBwDQQYgCAOggRAEAdBCiAAA6mFgOcApMrtRLkk1nlR0zLAdYB0IUwCkwuVIvSa7btXBwlvUA\n",
"J89wHgBAByEKAKCDEAUA0EGIAgDoYGI5wBxbvqrPHnwwP4QogDm2fFWfPfhgfhjOAwDoIEQBAHQQ\n",
"ogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDo4InlABvU3gf337p46MjCUtuWMHBqCVEA\n",
"G9TioSMLN9gSBmbGcB4AQAchCgCggxAFANBBiAIA6GBiOcAGsm3r5h133PvQniTZdFbZMeNy4Iwm\n",
"RAFsIAcOH91y43hF3nW7Fg7Ouh44kxnOAwDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCD\n",
"EAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDosHk1J9Van5Pk\n",
"niTflOTvktyS5FiS+5Nc01obplYhAMAcOuGdqFrrWUlel+RNSUqS3UmuaK1dmuSBJFdOtUIAgDm0\n",
"muG8a5P8SpK/H5//WGttcdx3W5JdU6oNAGBurRiiaq1fnaS01t49cf6jE6c8kuS8KdUGADC3TjQn\n",
"aleSr6m1vjDJjiSvSvL+if7teXKoAgA4I6wYolprNy19X2v9sSRvTfKjtdYLWmsPJ7kqyZ3TLREA\n",
"YP6sanXeMtcmub3WeizJfa213etcEwDA3Ft1iGqt/ZuJ5iVTqAUAYMPwsE0AgA5CFABAByEKAKCD\n",
"EAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDosHnWBQAwHXsf\n",
"3H/r4qEjC0ly/jln79t50YVXz7YiOL0IUQCnqcVDRxZuuHvfpUly/a6FGVcDpx/DeQAAHYQoAIAO\n",
"QhQAQAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAAHYQoAIAOtn0BOE1s27p5xx33PrRnqb3p\n",
"rLJjhuXAaU+IAjhNHDh8dMuN473ykuS6XQsHZ1kPnO4M5wEAdBCiAAA6CFEAAB3MiQI4CXsf3H/r\n",
"4qEjC8l8T+RePun8/HPO3rfzoguvnl1FsPEJUQAnYfHQkYUbxpO553ki9/JJ59fvWphhNXB6MJwH\n",
"ANBBiAIA6CBEAQB0EKIAADqYWA6wBpOr8ZL5XpHXa/JntIoPnpoQBbAGk6vxkvlekddr8me0ig+e\n",
"muE8AIAOQhQAQAchCgCggxAFANDBxHKAFZwJq/GAPkIUwArOhNV4QB/DeQAAHYQoAIAOQhQAQAch\n",
"CgCggxAFANBhxdV5tdbNSX4tyfOSPJbku5OUJLckOZbk/iTXtNaGKdcJADBXTnQn6hlJ3thae1GS\n",
"b0/yw0l2J7mitXZpkgeSXDndEgEA5s+Kd6JaaweTvH3cXEjy4SRbWmuL42O3Jbl5/BUA4Iyxqodt\n",
"1lr/R0ZDei9O8vqJrkeSnLf+ZQEAzLdVTSxvrb0iyeVJfj5PDk3bkzw6hboAAObaiiGq1vrCWutL\n",
"xs2PJHl6ki211gvGx65KcucU6wMAmEsnGs77yyRvrLW+PqNVef86ycEkt9dajyW5r7W2e7olAgDM\n",
"nxNNLP9wkq87Ttcl0ykHAGBj8LBNAIAOQhQAQIdVPeIAgNPX3gf337p46MjCUnvTWWXHDMuBDUOI\n",
"AjjDLR46snDD3fsuXWpft2vh4CzrgY3CcB4AQAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAA\n",
"HYQoAIAOQhQAQAchCgCgg21fgDPS5H5x559z9r6dF1149WwrAjYaIQo4I03uF3f9roUZVwNsRIbz\n",
"AAA6CFEAAB2EKACADkIUAEAHIQoAoIMQBQDQQYgCAOggRAEAdBCiAAA6eGI5cMbbtnXzjjvufWjP\n",
"Uts2MMBqCFHAGe/A4aNbbhxvAZPYBgZYHcN5AAAdhCgAgA5CFABAByEKAKCDieUAy0yu1tt0Vtkx\n",
"43KAOSVEASwzuVrvul0LB2ddDzCfDOcBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGI\n",
"AgDoIEQBAHTwxHKAM5CtbeDkCVEAZyBb28DJM5wHANBBiAIA6CBEAQB0EKIAADqYWA5Al70P7r91\n",
"8dCRhaX2+eecvW/nRRdePbuK4NQSogDosnjoyMIN4xV+SXL9roUZVgOn3oohqtZ6VpJfSPKFGQ39\n",
"/UiSDyW5JcmxJPcnuaa1Nky5TgCAuXKiOVFfkuSB1tpLkrwqyeuS7E5yRWvt0iQPJLlyuiUCAMyf\n",
"Fe9Etdb+NMmfjptPT/K3SUprbXF87LYkN4+/AgCcMVa1Oq/Wel6S/5DkZ5McmOh6JMl5U6gLAGCu\n",
"nXBiea31M5K8Mcn3Jflgku+f6N6e5NHplAbAvJlckWfPPc50K96JqrV+VpJbk7ymtfZga+1wkq21\n",
"1gvGp1yV5M7plgjAvFhakXfD3fsuPfqJYcus64FZOtGdqGuTPCfJr9dak9Fdp2uT3F5rPZbkvtba\n",
"7umWCAAwf040sfzajELTcpdMpxwAgI3Bti8AAB2EKACADrZ9AeApbdu6eccd9z60Z6ltRR78AyEK\n",
"gKd04PDRLTdO7I933a6Fg7OsB+aJ4TwAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghR\n",
"AAAdhCgAgA6eWA6ctvY+uP/WxUNHFpLk/HPO3rfzoguvnm1FwOlEiAJOW4uHjizcMN6y5PpdCzOu\n",
"BjjdGM4DAOggRAEAdBCiAAA6CFEAAB1MLAdgXWzbunnHHfc+tGepbUUkpzshCoB1ceDw0S03jldD\n",
"JlZEcvoznAcA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQB\n",
"AHQQogAAOghRAAAdhCgAgA5CFABAh82zLgBgvex9cP+ti4eOLCy1N51VdsywHOA0J0QBp43FQ0cW\n",
"brh736VL7et2LRycZT3A6c1wHgBAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5C\n",
"FABAByEKAKCDbV+AM8K2rZt33HHvQ3uW2vbVA07WCUNUrXVbkjcleXtr7eZa68VJbklyLMn9Sa5p\n",
"rQ3TLRPg5Bw4fHTLjfbVA9bRaobzbkrylon27iRXtNYuTfJAkiunURgAwDw7YYhqrV2T5H1JUmvd\n",
"muSx1triuPu2JLumVx4AwHxa68Tyc5M8OtF+JMl561cOAMDGsNaJ5Qfy5NC0PU8OVQBTtffB/bcu\n",
"HjqysNQ+/5yz9+286MKrZ1cRT2VyMr/fE6ejNYWo1trhWuvWWusFrbWHk1yV5M7plAbwyRYPHVm4\n",
"YWKC+PW7FmZYDSuZnMzv98TpaC0hamkF3rVJbq+1HktyX2tt9/qXBQAw31YVolprb0/y9vH39ye5\n",
"ZJpFAQDMO08sBwDoIEQBAHSw7QuwoU2uALOVC3AqCVHAhja5AsxWLsCpZDgPAKCDEAUA0EGIAgDo\n",
"IEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgA\n",
"gA6bZ10AwEr2Prj/1sVDRxaW2pvOKjtmWA7AE4QoYK4tHjqycMPd+y5dal+3a+HgLOsBWGI4DwCg\n",
"gxAFANBBiAIA6CBEAQB0MLEcmLnlK/DOP+fsfTsvuvDq2VXEetu2dfOOO+59aM9Se6Xf8eTnwWeB\n",
"eSZEATO3fAXe9bsWZlgN03Dg8NEtN67ydzz5efBZYJ4ZzgMA6CBEAQB0EKIAADoIUQAAHUwsB+CU\n",
"m1ytt9IKvLWs6oNTTYgC4JSbXK230gq8tazqg1PNcB4AQAchCgCggxAFANBBiAIA6GBiOQAbxmpX\n",
"9S1nf0amQYgCYMNY7aq+5ezPyDQYzgMA6CBEAQB0EKIAADqYEwWcEmuZ2Ds5eXjTWWXHKSkQYI2E\n",
"KOCUWMvE3snJw9ftWjg4/eoA1s5wHgBAByEKAKCDEAUA0MGcKGDVDhw4sDXJxROHPn7uuee+d1b1\n",
"AMySEMXcqLW+tLW2Z9Z1sKKFO/7sb+58919/9Owk+fov2P7+Z33ksXcurbo7/1lPe/biRx//4NLJ\n",
"ttZgNSZXYyarX5G5/LrJz9vkatC/P/zYtmc84xnnr2fNkAhRzJeXJtkz4xo4gfv/5mPlf//Vwa1J\n",
"svNzzjnyscePPbHq7rpdCwdvvHvf5y6da2sNVmNyNWay+hWZy6+b/LwtXw1qlSfT0B2iaq0/leQF\n",
"Gc2r+v7W2t51qwoAYM51TSyvtb4iySdaay9O8sokP7muVQEAzLne1XkvS/JbSdJaO5jkz2qtz1m3\n",
"qgAA5lzvcN55SR6ZaH9kfOyvTroiYK699LnnPvZZ55z90SR53qc9/WkPHzoy65IAZqIMw7Dmi2qt\n",
"NyV5U2vtveP2Lya5qbX2/snz7rrrrrW/OADAjFx22WVltef23om6K8k3J3lvrXVbkouXB6i1FgIA\n",
"sJF0zYlqrf1BktRa35HkLUl+cD2LAgCYd13DeQAAZzp75wEAdBCiAAA6CFEAAB2mtnderfUlSX43\n",
"yZe21j48Pva9Sb4po/D2htbam6f1/mxMtdarM1qo8OHxoe9trb1ndhUxb2w5xVrUWh9NsvR/yFtb\n",
"azfPsh7my/gJA29K8vbW2s211ouT3JLkWJL7k1zTWnvKyeNTCVG11s9O8m1J7k5Sxsd2JHlBa+1F\n",
"tdbNSe6utb6ttfb306iBDWtI8uOttd+ddSHMn8ktp2qtn5rkzUkuPcFlnNn2ttYun3URzK2bMnrK\n",
"wDPH7d1JrmitLdZar01yZZLbnuriqQzntdY+0Fr7tiSPZ/RHMUlemuS3x/1Hk/zXJDun8f5seD9Q\n",
"a31XrXX3rAth7thyirX64lrrPbXWu2qtz551McyX1to1Sd6XJLXWrUkea60tjrtvS7JrpetP6k5U\n",
"rfXzk/zsssMfaq1dfZzTz0vy3on20lYxnIGe6rOT5Dtba78xPufnaq0vX3ouGcSWU6zdc1trj9da\n",
"vzrJG5JcNeuCmFvnJnl0ov1ITpBTTipEtdb+PMlqb5M+mmT7RPvTk/zFybw/G9cqPzu/l+TLkwhR\n",
"LFn6f+Svx+3teXKogidprT0+/vquWuv2E53PGe1AnhyatufJoeqTnIrVeUtbv9yd5NVJUmv9lCSv\n",
"TGJCKE9Sa31trfUzxs2vS3LvLOth7ixtObU0IfS4W05BktRad9Zarxh///z8Q/iGT9JaO5xka631\n",
"gvGhq5LcudI1pyJEDUnSWnsgyR/VWv9XknuS/FRrzfbvLPd/kry51vr2JI+21vbMuB7miC2nWKP7\n",
"klxVa92T5Pokr5ttOcyxpfnb1ya5ffw36Hmttd9e6SLbvgAAdPCwTQCADkIUAEAHIQoAoIMQBQDQ\n",
"QYgCAOggRAEAdBCiAAA6CFEAAB2EKACADv8fn0xUCxJB1sMAAAAASUVORK5CYII=\n"
],
"text/latex": [
"$\\mathcal{N}(\\mu=2, \\sigma=1),\\ N=1000$"
],
"text/plain": [
"<__main__.Gaussian at 0x10665a4e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(x)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Use `display_png` to view the PNG representation:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAAlEAAAGLCAYAAADnMccKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAALEgAACxIB0t1+/AAAGsJJREFUeJzt3X2QndddH/DvsUQs5cXIRoCNA9mGGIR5Dy9KiBMnMmnq\n",
"BAbamjOdYIOBafEMGd4MocEGUrAbG1Sgw7sLwWAI5bhT6tC0abCN4rQlSjEhmVAbG1yRRHgTYgsp\n",
"xEKOlKd/3LvmeiOvdo/26t6VPp9/ds9znufe32rvaL/znHOeU4ZhCAAAa3PWrAsAANiIhCgAgA5C\n",
"FABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRsIGVUraMv5ZSyq5Z1zMPSinnllK+atZ1AKc/\n",
"IQo2oFLKV5ZS3pPkQClla5IfTPIXp+i9P7eUclMp5d+XUv6glPIVp+J9n6KWraWUXy6lvHjp2DAM\n",
"B5K8opTyvFnVtRrHq32i77NLKb9SSvmuUsqvllIWTrYPWH9CFMypUsofl1JecZzjm5Jcn+Tnkrwo\n",
"yRcleWwYhvefgprOSnJtktcNw/A9SX4zydtKKdun/d7HqeU7k7w+yRVJyrLun0zyE6e6ptU6Qe1J\n",
"cluS24Zh+IUkv5rkd9ahD1hnQhTMoXEo+fKM/sgu97IkvzgMw68Ow/AnSb4/ya+fotIuSvI1ST5r\n",
"3P6dJM9I8o2n6P2fMAzDrwzD8ENJPnqcvseT3F9KedFaX7eUcnYp5UdKKftLKfeVUspE36tLKfeX\n",
"Un6/lPJPp1F7KeXzknzpMAz/c3zuO5N8finlczr7ntNbJ7AyIQrm08VJfiPJPy+lPG1Z38uS/GGS\n",
"lFLOS/IpwzB87BTV9XdJnp3kgiQZhuHo+Ni5p+j91+ItSV691ouGYTiS0Z2s25JcmImAOAzDm5L8\n",
"xjAMXz8Mw++tV6HLfEmSDyw79sGM7jr29H3NFGoEIkTBvPqKJD+S5ONJXrms7+xhGD4+/v5lSd59\n",
"qooahmH/MAzbh2H442Q0ByfJeUn+6FTVsAbvSfLCzmtfnOSOjIbEfnBZ3ydOpqhV+Iwkh5cdeyzJ\n",
"+Uk+vaPvM6dQI5Bk86wLAI7r3GEY9pdS3pTkqiT/JUlKKV+Q5P9OnPeFSf58+cWllG9J8vnDMFw3\n",
"bv/LJOcPw/ATE+dsS/LTOf6cnEk/MwzDe5+i77uSvGVpCOl4SinfkeS7M7p7tX1c7+NJXj4Mw4fX\n",
"sZYnGYbh4+PJ25uGYTi2mmsmfFWSmzK6k/OXpZQXD8PwjlLKjiz7955C7edm9O8z6fEkz0qytbMP\n",
"mAIhCubM+LEFS38MfzPJO0spnzkMw4eS/OMkbeL07UnedZyX+Wfja5d8U5KfnzxhGIa/TfLtJ1Hn\n",
"FyV5RZLLVjjnRzO6Q/L8jELGHyV5zTAMe9ezlhUsDTV+ZI3XbRqGYUjygVLK7yR5bZJ3ZHTn77cn\n",
"T5xC7Z80TyrJ05M8muMHtdX0AVNgOA/mz2VJ7kmSYRjeneT+JNeM+549DMPDE+c+LcnRyYvHq/cu\n",
"SXLXuL0lyQsynke1Hkopz8roTs0rh2E47h/p8V2zK5N8zzAMx8bzp/YlOZUTnR/PGv+fK6V8ZpLF\n",
"iUM/leTyUsrFGd0hPLSO9R3Pw0meuezYM8Y1LXb0fWgKNQJxJwrm0aXDMLx2ov2LSf5tKeWX8snD\n",
"NY8k2bbs2FckeWgYhoPj9ouTvC/Jx0op5y2FnlLKuUn+XfqGoW7K6I7Sw+PVa/9iGIbly+lfleRt\n",
"wzB8Yvx+mzMaJvu+5W9wkrWs5FMz+jdai8uSvG2pMQzD+0opb83osRL3Lj95CrW/M6PJ+0uvvzmj\n",
"4Pm+JB/r7AOmQIiCOVBKOSej0PFQkr9e1v3GJD+U5Pcy+mM96QMZTUSe9LXj11ny6ozubO0av/aj\n",
"yRMPpVzzMFQp5bUZzRXaMZ4j9DkZ3T1JKeUrk5wzDMPdSf4m41V8Y9+V5JeHYfjg8tfsrWWyrKc4\n",
"PkzOh1pW31N57ngV3qSfTLIno2dzLX+Dda19GIYPlFL+Xyll53jY8+VJ/mQYhvvHP0NXH7D+hCiY\n",
"Dy/MaK7Ngxk9H+oJ4wnS35Nkd8ZDdBPuSfIDy45dluRYKeXqJJ+S5O7xsc8bhuHOkylyPER3Y5JN\n",
"kyVmNME9Sb45o3lDX5bRIwLeMJ7U/swkHxmG4baTef9ltXxrksuTfHaSnymlvCPJDyytXBw/rfvP\n",
"ll326ozC5Jcd5/Wen9Gw6TeUUs4ahuHHn/gBh+GeUsp/T7J3+XXTqD3JtyS5vpTygozuLH7zxOW9\n",
"fcA6K6O5k8CsjR+W+KGJYbjVXnfnMAxfO/5+S5L9Ga3E+/jKV05HKeU7hmH4tVm897I6viXJJ4Zh\n",
"+K1lx+eiPmDjW9WdqFrr1yX5vNbaT9daL05yS5JjGU94ba1JYnCShmF4oPPSVkp5+TAMf5DRhPI/\n",
"nVWAGvvUGb73pMszejzEcvNSH7DBnXDVSq31mUle2Fr76fGh3UmuaK1dmuSBjFbfALPzxiTfON7X\n",
"7oszfqbULJRSXpXkpIYM16mOf5LkzeMVgZPH56I+4PSwmjtRNyS5qNb6n5L8WJLHWmtLy39vS3Lz\n",
"+CswA8MwHC2l3JDkW4dh+JkZ1/KWWb5/8sRquX80DMMvLe+bh/qA08eKd6JqrRcl2dRae1WS12T0\n",
"sL7J5cKPZLTlAzBDwzA8PAzDqdqEeK4Nw3DgeAEKYL2d6E7U5Un+c5K01hZrrR9J8mkT/duzwtNw\n",
"77rrLnOlAIAN47LLLjvRM9+ecKIQ9UhGy4H/sNb6rIw2uTxYa72gtfZwRpM2V5xfsJZiOLPVWl/f\n",
"Wnv9rOtg/vmssBY+L6zWWm/+nChE/cckv1RrvWfcfl1Ge1DdXms9luS+1trutZcJALCxrRiiWmvH\n",
"kvyr43RdMp1yAAA2BhsQAwB0EKIAADoIUcyTPbMugA1jz6wLYEPZM+sCOD1Nde+8u+66a7A6DwDY\n",
"CNaaW9yJAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAA\n",
"OghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA6bZ10AwOli\n",
"74P7b108dGRhqX3+OWfv23nRhVfPriJgmoQogHWyeOjIwg1377t0qX39roUZVgNMm+E8AIAOQhQA\n",
"QAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAAHYQoAIAOnlgOMGO2i4GNSYgCmDHbxcDGZDgP\n",
"AKCDEAUA0EGIAgDoIEQBAHQwsRxgzmzbunnHHfc+tCexUg/mmRAFMGcOHD665cbxaj0r9WB+Gc4D\n",
"AOggRAEAdBCiAAA6CFEAAB1MLAeYgcn98jadVXbMuBygwwlDVK310STvGTffmuT3k9yS5FiS+5Nc\n",
"01obplYhwGlocr+863YtHJx1PcDareZO1N7W2uVLjVrrf0tyRWttsdZ6bZIrk9w2rQIBAObRakLU\n",
"F9da70ny8STfnuSx1triuO+2JDdHiAIAzjCrmVj+3NbaS5K8LsmtSR6Z6HskyXlTqAsAYK6dMES1\n",
"1h4ff31XkseTfNpE9/Ykj06nNACA+bViiKq17qy1XjH+/vlJ9ifZUmu9YHzKVUnunG6JAADz50Rz\n",
"ou5L8sO11tdkdMfpmoyG726vtR5Lcl9rbfeUawQAmDsrhqjW2qEk37Ds8IeTXDK1igAANgBPLAcA\n",
"6CBEAQB0sO0LwJRs27p5xx33PrQnSc4/5+x9Oy+68OrZVgSsJyEKYEoOHD665cbx1i7X71qYcTXA\n",
"ejOcBwDQQYgCAOggRAEAdBCiAAA6mFgOcApMrtRLkk1nlR0zLAdYB0IUwCkwuVIvSa7btXBwlvUA\n",
"J89wHgBAByEKAKCDEAUA0EGIAgDoYGI5wBxbvqrPHnwwP4QogDm2fFWfPfhgfhjOAwDoIEQBAHQQ\n",
"ogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDo4InlABvU3gf337p46MjCUtuWMHBqCVEA\n",
"G9TioSMLN9gSBmbGcB4AQAchCgCggxAFANBBiAIA6GBiOcAGsm3r5h133PvQniTZdFbZMeNy4Iwm\n",
"RAFsIAcOH91y43hF3nW7Fg7Ouh44kxnOAwDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCD\n",
"EAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDosHk1J9Van5Pk\n",
"niTflOTvktyS5FiS+5Nc01obplYhAMAcOuGdqFrrWUlel+RNSUqS3UmuaK1dmuSBJFdOtUIAgDm0\n",
"muG8a5P8SpK/H5//WGttcdx3W5JdU6oNAGBurRiiaq1fnaS01t49cf6jE6c8kuS8KdUGADC3TjQn\n",
"aleSr6m1vjDJjiSvSvL+if7teXKoAgA4I6wYolprNy19X2v9sSRvTfKjtdYLWmsPJ7kqyZ3TLREA\n",
"YP6sanXeMtcmub3WeizJfa213etcEwDA3Ft1iGqt/ZuJ5iVTqAUAYMPwsE0AgA5CFABAByEKAKCD\n",
"EAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDosHnWBQAwHXsf\n",
"3H/r4qEjC0ly/jln79t50YVXz7YiOL0IUQCnqcVDRxZuuHvfpUly/a6FGVcDpx/DeQAAHYQoAIAO\n",
"QhQAQAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAAHYQoAIAOtn0BOE1s27p5xx33PrRnqb3p\n",
"rLJjhuXAaU+IAjhNHDh8dMuN473ykuS6XQsHZ1kPnO4M5wEAdBCiAAA6CFEAAB3MiQI4CXsf3H/r\n",
"4qEjC8l8T+RePun8/HPO3rfzoguvnl1FsPEJUQAnYfHQkYUbxpO553ki9/JJ59fvWphhNXB6MJwH\n",
"ANBBiAIA6CBEAQB0EKIAADqYWA6wBpOr8ZL5XpHXa/JntIoPnpoQBbAGk6vxkvlekddr8me0ig+e\n",
"muE8AIAOQhQAQAchCgCggxAFANDBxHKAFZwJq/GAPkIUwArOhNV4QB/DeQAAHYQoAIAOQhQAQAch\n",
"CgCggxAFANBhxdV5tdbNSX4tyfOSPJbku5OUJLckOZbk/iTXtNaGKdcJADBXTnQn6hlJ3thae1GS\n",
"b0/yw0l2J7mitXZpkgeSXDndEgEA5s+Kd6JaaweTvH3cXEjy4SRbWmuL42O3Jbl5/BUA4Iyxqodt\n",
"1lr/R0ZDei9O8vqJrkeSnLf+ZQEAzLdVTSxvrb0iyeVJfj5PDk3bkzw6hboAAObaiiGq1vrCWutL\n",
"xs2PJHl6ki211gvGx65KcucU6wMAmEsnGs77yyRvrLW+PqNVef86ycEkt9dajyW5r7W2e7olAgDM\n",
"nxNNLP9wkq87Ttcl0ykHAGBj8LBNAIAOQhQAQIdVPeIAgNPX3gf337p46MjCUnvTWWXHDMuBDUOI\n",
"AjjDLR46snDD3fsuXWpft2vh4CzrgY3CcB4AQAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAA\n",
"HYQoAIAOQhQAQAchCgCgg21fgDPS5H5x559z9r6dF1149WwrAjYaIQo4I03uF3f9roUZVwNsRIbz\n",
"AAA6CFEAAB2EKACADkIUAEAHIQoAoIMQBQDQQYgCAOggRAEAdBCiAAA6eGI5cMbbtnXzjjvufWjP\n",
"Uts2MMBqCFHAGe/A4aNbbhxvAZPYBgZYHcN5AAAdhCgAgA5CFABAByEKAKCDieUAy0yu1tt0Vtkx\n",
"43KAOSVEASwzuVrvul0LB2ddDzCfDOcBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGI\n",
"AgDoIEQBAHTwxHKAM5CtbeDkCVEAZyBb28DJM5wHANBBiAIA6CBEAQB0EKIAADqYWA5Al70P7r91\n",
"8dCRhaX2+eecvW/nRRdePbuK4NQSogDosnjoyMIN4xV+SXL9roUZVgOn3oohqtZ6VpJfSPKFGQ39\n",
"/UiSDyW5JcmxJPcnuaa1Nky5TgCAuXKiOVFfkuSB1tpLkrwqyeuS7E5yRWvt0iQPJLlyuiUCAMyf\n",
"Fe9Etdb+NMmfjptPT/K3SUprbXF87LYkN4+/AgCcMVa1Oq/Wel6S/5DkZ5McmOh6JMl5U6gLAGCu\n",
"nXBiea31M5K8Mcn3Jflgku+f6N6e5NHplAbAvJlckWfPPc50K96JqrV+VpJbk7ymtfZga+1wkq21\n",
"1gvGp1yV5M7plgjAvFhakXfD3fsuPfqJYcus64FZOtGdqGuTPCfJr9dak9Fdp2uT3F5rPZbkvtba\n",
"7umWCAAwf040sfzajELTcpdMpxwAgI3Bti8AAB2EKACADrZ9AeApbdu6eccd9z60Z6ltRR78AyEK\n",
"gKd04PDRLTdO7I933a6Fg7OsB+aJ4TwAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghR\n",
"AAAdhCgAgA6eWA6ctvY+uP/WxUNHFpLk/HPO3rfzoguvnm1FwOlEiAJOW4uHjizcMN6y5PpdCzOu\n",
"BjjdGM4DAOggRAEAdBCiAAA6CFEAAB1MLAdgXWzbunnHHfc+tGepbUUkpzshCoB1ceDw0S03jldD\n",
"JlZEcvoznAcA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQB\n",
"AHQQogAAOghRAAAdhCgAgA5CFABAh82zLgBgvex9cP+ti4eOLCy1N51VdsywHOA0J0QBp43FQ0cW\n",
"brh736VL7et2LRycZT3A6c1wHgBAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5C\n",
"FABAByEKAKCDbV+AM8K2rZt33HHvQ3uW2vbVA07WCUNUrXVbkjcleXtr7eZa68VJbklyLMn9Sa5p\n",
"rQ3TLRPg5Bw4fHTLjfbVA9bRaobzbkrylon27iRXtNYuTfJAkiunURgAwDw7YYhqrV2T5H1JUmvd\n",
"muSx1triuPu2JLumVx4AwHxa68Tyc5M8OtF+JMl561cOAMDGsNaJ5Qfy5NC0PU8OVQBTtffB/bcu\n",
"HjqysNQ+/5yz9+286MKrZ1cRT2VyMr/fE6ejNYWo1trhWuvWWusFrbWHk1yV5M7plAbwyRYPHVm4\n",
"YWKC+PW7FmZYDSuZnMzv98TpaC0hamkF3rVJbq+1HktyX2tt9/qXBQAw31YVolprb0/y9vH39ye5\n",
"ZJpFAQDMO08sBwDoIEQBAHSw7QuwoU2uALOVC3AqCVHAhja5AsxWLsCpZDgPAKCDEAUA0EGIAgDo\n",
"IEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgA\n",
"gA6bZ10AwEr2Prj/1sVDRxaW2pvOKjtmWA7AE4QoYK4tHjqycMPd+y5dal+3a+HgLOsBWGI4DwCg\n",
"gxAFANBBiAIA6CBEAQB0MLEcmLnlK/DOP+fsfTsvuvDq2VXEetu2dfOOO+59aM9Se6Xf8eTnwWeB\n",
"eSZEATO3fAXe9bsWZlgN03Dg8NEtN67ydzz5efBZYJ4ZzgMA6CBEAQB0EKIAADoIUQAAHUwsB+CU\n",
"m1ytt9IKvLWs6oNTTYgC4JSbXK230gq8tazqg1PNcB4AQAchCgCggxAFANBBiAIA6GBiOQAbxmpX\n",
"9S1nf0amQYgCYMNY7aq+5ezPyDQYzgMA6CBEAQB0EKIAADqYEwWcEmuZ2Ds5eXjTWWXHKSkQYI2E\n",
"KOCUWMvE3snJw9ftWjg4/eoA1s5wHgBAByEKAKCDEAUA0MGcKGDVDhw4sDXJxROHPn7uuee+d1b1\n",
"AMySEMXcqLW+tLW2Z9Z1sKKFO/7sb+58919/9Owk+fov2P7+Z33ksXcurbo7/1lPe/biRx//4NLJ\n",
"ttZgNSZXYyarX5G5/LrJz9vkatC/P/zYtmc84xnnr2fNkAhRzJeXJtkz4xo4gfv/5mPlf//Vwa1J\n",
"svNzzjnyscePPbHq7rpdCwdvvHvf5y6da2sNVmNyNWay+hWZy6+b/LwtXw1qlSfT0B2iaq0/leQF\n",
"Gc2r+v7W2t51qwoAYM51TSyvtb4iySdaay9O8sokP7muVQEAzLne1XkvS/JbSdJaO5jkz2qtz1m3\n",
"qgAA5lzvcN55SR6ZaH9kfOyvTroiYK699LnnPvZZ55z90SR53qc9/WkPHzoy65IAZqIMw7Dmi2qt\n",
"NyV5U2vtveP2Lya5qbX2/snz7rrrrrW/OADAjFx22WVltef23om6K8k3J3lvrXVbkouXB6i1FgIA\n",
"sJF0zYlqrf1BktRa35HkLUl+cD2LAgCYd13DeQAAZzp75wEAdBCiAAA6CFEAAB2mtnderfUlSX43\n",
"yZe21j48Pva9Sb4po/D2htbam6f1/mxMtdarM1qo8OHxoe9trb1ndhUxb2w5xVrUWh9NsvR/yFtb\n",
"azfPsh7my/gJA29K8vbW2s211ouT3JLkWJL7k1zTWnvKyeNTCVG11s9O8m1J7k5Sxsd2JHlBa+1F\n",
"tdbNSe6utb6ttfb306iBDWtI8uOttd+ddSHMn8ktp2qtn5rkzUkuPcFlnNn2ttYun3URzK2bMnrK\n",
"wDPH7d1JrmitLdZar01yZZLbnuriqQzntdY+0Fr7tiSPZ/RHMUlemuS3x/1Hk/zXJDun8f5seD9Q\n",
"a31XrXX3rAth7thyirX64lrrPbXWu2qtz551McyX1to1Sd6XJLXWrUkea60tjrtvS7JrpetP6k5U\n",
"rfXzk/zsssMfaq1dfZzTz0vy3on20lYxnIGe6rOT5Dtba78xPufnaq0vX3ouGcSWU6zdc1trj9da\n",
"vzrJG5JcNeuCmFvnJnl0ov1ITpBTTipEtdb+PMlqb5M+mmT7RPvTk/zFybw/G9cqPzu/l+TLkwhR\n",
"LFn6f+Svx+3teXKogidprT0+/vquWuv2E53PGe1AnhyatufJoeqTnIrVeUtbv9yd5NVJUmv9lCSv\n",
"TGJCKE9Sa31trfUzxs2vS3LvLOth7ixtObU0IfS4W05BktRad9Zarxh///z8Q/iGT9JaO5xka631\n",
"gvGhq5LcudI1pyJEDUnSWnsgyR/VWv9XknuS/FRrzfbvLPd/kry51vr2JI+21vbMuB7miC2nWKP7\n",
"klxVa92T5Pokr5ttOcyxpfnb1ya5ffw36Hmttd9e6SLbvgAAdPCwTQCADkIUAEAHIQoAoIMQBQDQ\n",
"QYgCAOggRAEAdBCiAAA6CFEAAB2EKACADv8fn0xUCxJB1sMAAAAASUVORK5CYII=\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display_png(x)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"It is important to note a subtle different between display and display_png. The former computes all representations of the object, and lets the notebook UI decide which to display. The later only computes the PNG representation.\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create a new Gaussian with different parameters:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAAlYAAAGLCAYAAAAF7dxzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAALEgAACxIB0t1+/AAAG4FJREFUeJzt3X+U5lddH/D3d3chu0LiJi64MQhTMLrGqlXEBAmuTEAK\n",
"2FbbeE8PJHaptU2PHEUieDiJP6qbkkD80UqhUquLgVBveqqhcsrRZN2EenRtI8gBE7M2XYGVCWV3\n",
"3QWyzpLNt388z8TJMDObmb3zzDwzr9c5c3a+3/v9Ps8nz+7OvnPv/d7b9X0fAADO3abVLgAAYL0Q\n",
"rAAAGhGsAAAaEawAABoRrAAAGhGsAAAaEawAABoRrAAAGhGsYJ3pum7r8Neu67rJ1a5nLei67sKu\n",
"616w2nUA659gBetE13Xf1nXdnyY53nXdtiRvTPIXI3rvr+667le6rvvhrut+teu6iVG87zx1PK/r\n",
"upu7rvt3Xdf9Xtd1z0+Svu+PJ3l513Vfsxp1PRkL1T6rfcHPeLltwAro+96XL19j8pXkfyd5+Tzn\n",
"Nyf57ST/Ism3JnlBkteNsK4DSa4cfn9Fkj9chc9mU5J3JOmGx9cmOZpkx/D4qUnet9q/h8up/Wyf\n",
"8XLbfPny1f5LjxWMia7rdiT5liRXz9P8kiTv6Pv+V/u+/5Mkb0jy6yOq62uTfHPf9/8zSfq+/6Mk\n",
"X9d13XNG8f6zXJrkO5J81fD4fUmeluR7h3WdTvJA13UvWuoLd113Xtd1P9l13ZGu6+7vuq6b1fbq\n",
"ruse6Lruv3dd930rUfsin/Gzl9k26t8b2DAEKxgflyV5d5J/0nXdU+e0vSTJ7ydJ13UXJXlK3/df\n",
"GFFd35Tkk3POfSqDoDBKn0/yrCQXJ0nf948Oz10465oPJHn1Ul+47/vpJG9NcluSSzIMPMO225O8\n",
"u+/7f9D3/W+tUO0LfcYvWmbbqH9vYMPYstoFAE/a85P8ZJJXJXllBkN/M87r+/6Lw+9fkuTDI6zr\n",
"mUlOzTn3SJKvHGEN6fv+SJIdM8dd1311kouS/OGsy/40yQuX+RYvTnJnBkOKb0wyO0Q9tszXTPKk\n",
"al/oM96Z5G+W0TbS3xvYSAQrGB8X9n1/pOu62zOYg/PbSdJ13dcn+bNZ131Dkj+fe3PXdT+Q5Ov6\n",
"vr9hePxDSXb2ff9zs67ZnuQXknRz75/jF/u+/+hMXUlOz2k/neT8hW7uuu4Hk/xIBj00O4b1nk7y\n",
"sr7vP3MOtcz2w0k+MDMMliR933+x67ptXddt7vv+zFled64XJLk5gx6f/9N13Yv7vv9Q13W7Mufz\n",
"XoHaF/uMty2zDVgBghWMgeESCjP/QP5Gkj/quu4r+75/OMl3J6mzLt+R5I/neZl/PLx3xvcnefvs\n",
"C/q+/+sk/3yJ5X1unnNfluTYfBd3XfdTSZ6RwST7LoNemdf1fX+wQS0z7/F3k7w8yVXzNM8MsX12\n",
"iS+7ue/7Psknu657X5I3JflQBj2E75194QrUvthnPF94ezJtwAowxwrGw1VJ7k2Svu8/nOSBJNcN\n",
"257V9/2nZ1371CSPzr6567rNSa5McvfweGsGT4j9foPaPp3k6XPOPS3Jw3MvHPauXZPkR/u+PzOc\n",
"S3Q4SbPJ1F3XnZ9Bz9Ir+76fL0CczhJ/9nVd95VJpmadeluSV3Rdd1kGPYknl1vvnPdZqPaFPuOp\n",
"4ddS277k9wZoQ48VjIfdfd+/adbxO5L8267r3pkvHeo5mmT7nHPPT/JQ3/cnhscvTvKxJF/ouu6i\n",
"mX/Eu667MMnPZ2lDWH+UwcTrDF9jSwZB6WPz3PeqJL/b9/1js659QZIfm3vhMmtJBsHkdX3ff3r4\n",
"9N4/7fv+fbPavzyDz2gprkryuzMHfd9/rOu6Dya5Mcl9I6h9sc/4C8tsA1aAYAVrVNd1F2QQRB5K\n",
"8ldzmn8tyU9kMIH65+e0fTKDyc6zvXT4OjNenUEP2OTwtY8ljy+kuaQhrL7vP9l13f/tuu7y4XDe\n",
"y5L8Sd/3Dwz/O74tyQV93+9P8v8yfPJt6IeT/Me+7z81z+suuZau696UwRyoXcO5T8/OoLdnzkv/\n",
"7fyqOfUt5LnDp/9me2sGa0T98krX/iQ+42W1Ae0JVrB2vTCDuTuHMli/6nHDSdg/muTWDIf3Zrk3\n",
"yY/POXdVkjNd1+1J8pQk+4fnvrbv+7sa1PoDSW7suu6KDHrHXjOr7dUZBLi/l8FyBW8ZTpx/epLP\n",
"9n1/W4P3nxlmvCmDxVJn9BlM5p+5ZiLJx+fcOru+ua/5rRkMuf6jrus29X3/s4+/cN/f23Xd/0hy\n",
"cO59K1F7Fv+Ml9sGNDazyi+wBg0XeHx41hDek73vrr7vXzr8fmuSIxk8AfjFxe9cGV3X/WDf9/95\n",
"Nd57Th0/kOSxvu/fM+f8mqgPGH+L9liVUrYnuT3JPbXWW0opV2QwafOxDIYVfqjW+mgp5W0ZTITd\n",
"lOQNtdZz/j84IOn7/sFl3lq7rntZ3/e/l8Gk9Y+sVqga+vJVfO/ZXpHBUhVzrZX6gDF3tidjbs5g\n",
"peIZJcn31lp3Z/B/wC8ppbw8yWO11hdnsGjhW1ekUmApfi3J93ZdtynJN+aJi4mOVNd1r0rSYrjx\n",
"XOv4+0neP3wScfb5NVEfsD4sGqxqrddl1tMjtdY31FpnnqZ5eobhKsl7hu0nkny8lGIfKlhFw/Cw\n",
"N8k/6/v+F/u+/5IJ1iOs5QMLLII5MsOn9P7OnKcDk6yN+oD1Y1nrWJVSXpvkkVrrn2Ww7cLsR5c/\n",
"OzwHrKK+7z/d9/1INmJe6/q+P973/TtXuw5g/VvyU4GllH+d5Nm11jcPTx3LYKXnmcfBd2SRNWLu\n",
"vvtus+UBgLFx1VVXnW1NusctKViVUt6Q5OmzQlUyeNT7NUk+Opzsflmt9ROtCmRjK6X8TK31Z1a7\n",
"DtY+f1ZYCn9eeLKW2iH0ZINVX0q5IMnPJTlYSnnJ8PzP11p/p5Ty0lLKhzIYWnz9UgoAAFgvzhqs\n",
"aq33JLlnePi0Ba75iZZFAQCMI5swAwA0IlgBADQiWLHWHVjtAhgbB1a7AMbKgdUugPVp5HsF3n33\n",
"3b2nAgGAcbDU3KLHCgCgEcEKAKARwQoAoBHBCgCgEcEKAKARwQoAoJElbcIMsFQHDx3ZN3VyemK+\n",
"tp0XnHf48ksv2TPaigBWjmAFrKipk9MTe/cf3j1f242TEyOuBmBlGQoEAGhEsAIAaESwAgBoRLAC\n",
"AGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBo\n",
"RLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESw\n",
"AgBoRLACAGhEsAIAaESwAgBoZMtqFwCwEg4eOrJv6uT0xHxtOy847/Dll16yZyXuBTY2wQpYl6ZO\n",
"Tk/s3X9493xtN05OrNi9wMZmKBAAoBHBCgCgEcEKAKARwQoAoBGT14GxtNiTe0myeVO3a4TlACQ5\n",
"S7AqpWxPcnuSe2qtt5RSLkvyriRnkjyQ5Lpaa19KeVuSKzLoAXtDrfXgCtcNbHCLPbmXJDdMTpwY\n",
"ZT0AydmHAm9O8oFZx7cmubrWujvJg0muKaW8PMljtdYXJ3llkreuSKUAAGvcoj1WtdbrSim7k1xR\n",
"StmW5JFa69Sw+bYktyR5OMl7htefKKV8vJTynFrrX65k4QCrYfu2LbvuvO+hAwu1W0AUNralzLG6\n",
"MMmxWcefTXJRki8mOTrPecEKWHeOn3p0602LDEFaQBQ2tqUEq+MZBKYZz8ggaB1LsiPJXw3P78gT\n",
"gxbAvPT+AOvNkw5WtdZTpZRtpZSLa62fTnJtkruSfCbJa5J8dDjZ/bJa6ydWplxgPdH7A6w3TzZY\n",
"9cNfr09yRynlTJL7a623Jkkp5aWllA9lMBn+9e3LBABY+84arGqt9yS5Z/j9A0munOean2hfGgDA\n",
"eLHyOgBAI4IVAEAjtrQBaGixJx095Qjrn2AF0NBiTzp6yhHWP0OBAACNCFYAAI0IVgAAjQhWAACN\n",
"CFYAAI0IVgAAjQhWAACNCFYAAI0IVgAAjQhWAACN2NIG2HAW288vSTZv6naNsJzHHTx0ZN/UyemJ\n",
"+drsMwjjQbACNpzF9vNLkhsmJ06Msp4ZUyenJ/baZxDGmqFAAIBGBCsAgEYEKwCARgQrAIBGBCsA\n",
"gEYEKwCARiy3AKxZi603tVprTQEsRrAC1qzF1ptarbWmABZjKBAAoBHBCgCgEcEKAKARwQoAoBHB\n",
"CgCgEcEKAKARwQoAoBHrWAHn7OChI/umTk5PzNdmIU9gIxGsgHM2dXJ6Yq+FPAEMBQIAtCJYAQA0\n",
"IlgBADQiWAEANCJYAQA0IlgBADQiWAEANCJYAQA0IlgBADQiWAEANCJYAQA0IlgBADQiWAEANCJY\n",
"AQA0IlgBADSyZbULANaGg4eO7Js6OT0xX9vOC847fPmll+wZbUUA40ewApIkUyenJ/buP7x7vrYb\n",
"JydGXA3AeFpysCqlbE3y7iTPSLI5yU1JPpXkXUnOJHkgyXW11r5hnQAAa95y5lg9N8nxWutkktcm\n",
"eU2SW5NcXWvdneTBJNe0KxEAYDwsOVjVWv8sybZSyv1J7k1yc5JHaq1Tw0tuSzLZrkQAgPGw5GBV\n",
"SnlRki/UWr8+yXcn+fdJjs665GiSi9qUBwAwPpYzFPiiJHckj/deJclXzGrfkeTYOdYFADB2lhOs\n",
"HkjyXUlSSrk4gwnrW4ffJ8m1Se5qUh0AwBhZzhyr9ye5sJRyT5Lbk7wxyY8nuWN47mtqre9tWyYA\n",
"wNq3rHWsaq0/Ms/pK8+xFgCAsWZLGwCARgQrAIBGBCsAgEYEKwCARgQrAIBGBCsAgEYEKwCARpa1\n",
"jhWwsWzftmXXnfc9dGCh9s2bul0jLAdgzRKsgLM6furRrTftP7x7ofYbJidOjLIegLXKUCAAQCOC\n",
"FQBAI4IVAEAjghUAQCMmrwOMiKcrYf0TrABGxNOVsP4ZCgQAaESwAgBoRLACAGhEsAIAaESwAgBo\n",
"RLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaGTLahcAjMbBQ0f2TZ2cnlio\n",
"ffOmbtcIywFYlwQr2CCmTk5P7N1/ePdC7TdMTpwYZT0A65GhQACARgQrAIBGBCsAgEYEKwCARgQr\n",
"AIBGBCsAgEYEKwCARgQrAIBGBCsAgEYEKwCARgQrAIBGBCsAgEZswgxj5OChI/umTk5PLNS+84Lz\n",
"Dl9+6SV7RlcRALMJVjBGpk5OT+zdf3j3Qu03Tk6MsBoA5jIUCADQiGAFANCIYAUA0IhgBQDQiGAF\n",
"ANDIsp8KLKV8T5KvrbX+QinlsiTvSnImyQNJrqu19o1qBAAYC8vqsSqlPD3JC2utvzA8dWuSq2ut\n",
"u5M8mOSaRvUBAIyN5fZY7U1yaSnlvyb56SSP1Fqnhm23Jbll+CsAwIax5B6rUsqlSTbXWl+V5HVJ\n",
"3p7k6KxLjia5qE15AADjYzlDga9I8t+SZNhL9dkkXzGrfUeSY+deGgDAeFlOsDqaZDJJSinnJ9mZ\n",
"ZGsp5eJh+7VJ7mpTHgDA+FjOHKv/kuSdpZR7h8dvzqDX6o5Sypkk99dab21VIADAuFhysKq1nkny\n",
"L+dpuvLcywEAGF8WCAUAaESwAgBoRLACAGhEsAIAaESwAgBoZNmbMAOwdhw8dGTf1Mnpifnadl5w\n",
"3uHLL71kz2grgo1JsAJYB6ZOTk/s3X9493xtN05OjLga2LgMBQIANCJYAQA0IlgBADQiWAEANCJY\n",
"AQA0IlgBADQiWAEANCJYAQA0IlgBADRi5XVYR7Zv27LrzvseOjBf2+ZN3a4RlwOw4QhWsI4cP/Xo\n",
"1psW2NbkhsmJE6OuB2CjMRQIANCIYAUA0IhgBQDQiGAFANCIYAUA0IhgBQDQiGAFANCIdawAxsBi\n",
"i78mFoCFtUKwAhgDiy3+mlgAFtYKQ4EAAI0IVgAAjQhWAACNCFYAAI0IVgAAjQhWAACNCFYAAI0I\n",
"VgAAjQhWAACNCFYAAI0IVgAAjQhWAACNCFYAAI0IVgAAjQhWAACNCFYAAI0IVgAAjQhWAACNCFYA\n",
"AI0IVgAAjQhWAACNCFYAAI0IVgAAjWxZ7o2llOckuTfJ9yf5fJJ3JTmT5IEk19Va+yYVAgCMiWUF\n",
"q1LKpiRvTnJ7ki7JrUmurrVOlVKuT3JNktuaVQnryMFDR/ZNnZyeWKh95wXnHb780kv2jK4iAFpZ\n",
"bo/V9Ul+Jck/zGA48ZFa69Sw7bYkt0SwgnlNnZye2Lv/8O6F2m+cnBhhNQC0tOQ5VqWUb0/S1Vo/\n",
"POs1js265GiSixrUBgAwVpbTYzWZ5DtKKS9MsivJq5J8Ylb7jjwxaAGwirZv27LrzvseOrBQu+Fn\n",
"aGfJwarWevPM96WUn07ywSQ/VUq5uNb66STXJrmrXYkAnIvjpx7depPhZxiJZT8VOMf1Se4opZxJ\n",
"cn+t9dZGrwsAMDbOKVjVWv/NrMMrz7EWAICxZoFQAIBGBCsAgEYEKwCARgQrAIBGBCsAgEYEKwCA\n",
"RgQrAIBGBCsAgEYEKwCARgQrAIBGWu0VCDSyfduWXXfe99CB+do2b+p2jbgcAJZAsII15vipR7fe\n",
"tP/w7vnabpicODHqegB48gwFAgA0IlgBADQiWAEANCJYAQA0IlgBADQiWAEANCJYAQA0IlgBADQi\n",
"WAEANCJYAQA0YksbgA1usf0pd15w3uHLL71kz2grgvElWAFscIvtT3nj5MSIq4HxZigQAKARPVYA\n",
"LNvBQ0f2TZ2cnpivzTAiG5FgBcCyTZ2cnthrGBEeJ1jBCljs/+I3b+p2jbgcAEZEsIIVsNj/xd8w\n",
"OXFi1PUAMBomrwMANCJYAQA0IlgBADQiWAEANCJYAQA0IlgBADQiWAEANCJYAQA0IlgBADQiWAEA\n",
"NGJLGwAWtH3bll133vfQgYXa7X0JTyRYAbCg46ce3XrTAvteJva+hLkMBQIANCJYAQA0IlgBADQi\n",
"WAEANCJYAQA0IlgBADQiWAEANCJYAQA0suQFQkspm5L8hyTfkEEw+8kkDyd5V5IzSR5Icl2ttW9Y\n",
"JwDAmrecHqtvSvJgrfU7k7wqyZuT3Jrk6lrr7iQPJrmmXYkAAONhyT1WtdaPJPnI8PDLkvx1kq7W\n",
"OjU8d1uSW4a/AgBsGMueY1VKuSjJf0ryS0mOz2o6muSic6wLAGDsLCtYlVKemeQ3kvxYkg/niUFq\n",
"R5Jj514aAMB4WXKwKqV8VZJ9SV5Xaz1Uaz2VZFsp5eLhJdcmuatdiQAA42HJc6ySXJ/kOUl+vZSS\n",
"DHqnrk9yRynlTJL7a623tisRAGA8LGfy+vUZBKm5rjz3cmA8HDx0ZN/UyemJhdo3b+p2jbAcANaI\n",
"5fRYwYY3dXJ6Yu/+w7sXar9hcuLEKOsBYG2w8joAQCOCFQBAI4IVAEAjghUAQCMmr7Nhne3Jvp0X\n",
"nHf48ksv2TO6imBjWezvoL9/jCvBig3rbE/23Tg5McJqYONZ7O+gv3+MK0OBAACNCFYAAI0IVgAA\n",
"jQhWAACNmLwOC9i+bcuuO+976MB8bfYCBGA+ghUs4PipR7fetMATS/YCBGA+hgIBABrRYwXAilhs\n",
"OD0xpM76JFgBsCIWG05PDKmzPglWAIwV21GxlglWAIwV21Gxlpm8DgDQiGAFANCIYAUA0IhgBQDQ\n",
"iMnrjLWzPh10/lOfNfW505+ar80aOgC0Jlgx1s72dNANkxMnbtp/+HkLta1cZQBsRIYCAQAaEawA\n",
"ABoRrAAAGhGsAAAaEawAABoRrAAAGhGsAAAaEawAABoRrAAAGhGsAAAasaUNAGvO9m1bdt1530MH\n",
"5muzzydrmWAFwJpz/NSjW29aYB9Q+3yylhkKBABoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaMRy\n",
"C4zEwUNH9k2dnJ6Yr23nBecdvvzSS/aMtiJgI1rsZ1Gy+M+jc7mXjUOwYiSmTk5P7F1gTZobJydG\n",
"XA2wUS32syhZ/OfRudzLxmEoEACgET1WrHmLdb/b2gKYy3Y4rCbBijVvse53W1sAc9kOh9VkKBAA\n",
"oBE9Vqy6xbrt/+bUI9uf9rSn7RxxScAGdS7DiIvd64nBjUOwYtUt1m2f6LoHRudchhEXu9cTgxtH\n",
"02BVSnlbkisyGGJ8Q631YMvX59wcP378/Ic/d/r7Huv7br7287ZsOvq8S575O6OuCwDWi2bBqpTy\n",
"8iSP1VpfXEr58iTvT7JgLwSr4qs++ODRt//B4b8+f77GPc+/+CPPuyQLBquzLo53/lOfNfW505+a\n",
"r82TOMBGttgwYWJh0vWkZY/VS5K8J0lqrSdKKR8vpTyn1vqXDd+Dc/SZz58+c/j438zb9sgXHzu9\n",
"2L1nWxzvhsmJEzftP/y8hdqWVCjAOnK2KQ8WJl0/Wgari5IcnXX82eE5wWoN+a7nXnhq5/lP/fx8\n",
"bc++cOtTRl0PAKwnXd/3TV6olHJzkttrrR8dHr8jyc211k/Mvu7uu+9u84YAACNw1VVXzTs3eT4t\n",
"e6zuTvKaJB8tpWxPctncULXU4gAAxkmzBUJrrb+XJKWUDyX5QJI3tnptAIBx0GwoEABgo7OlDQBA\n",
"I4IVAEAjghUAQCMj3SuwlPKdSX4zyTfXWj8zPPf6JN+fQch7S631/aOsibWvlLIng4chPjM89fpa\n",
"65+uXkWsNbbTYilKKceSzPwM+WCt9ZbVrIe1Zbiywe1J7qm13lJKuSzJu5KcSfJAkutqrQtOUB9Z\n",
"sCqlfHWS1ybZn6QbntuV5Ipa64tKKVuS7C+l/G6tdf6lwdmo+iQ/W2v9zdUuhLXHdlosw8Fa6ytW\n",
"uwjWrJszWN3g6cPjW5NcXWudKqVcn+SaJLctdPPIhgJrrZ+stb42yekM/qFMku9K8t5h+6NJfifJ\n",
"5aOqibHy46WUPy6l3LrahbDmPGE7rSQfL6U8Z3VLYo37xlLKvaWUu0spz1rtYlhbaq3XJflYkpRS\n",
"tiV5pNY6NWy+LcnkYvc377EqpXxdkl+ac/rhWuueeS6/KMlHZx3PbIPDBrTQn50k/6rW+u7hNb9c\n",
"SnnZzLppENtpsXTPrbWeLqV8e5K3JLl2tQtizbowybFZx0dzlpzSPFjVWv88yZPtYj2WZMes42ck\n",
"+YvWNTEenuSfnd9K8i1JBCtmzPwc+avh8Y48MWjBE9RaTw9//eNSyo6zXc+GdjxPDFI78sSg9SVW\n",
"66nAmW1t9id5dZKUUp6S5JVJTDrlCUopbyqlPHN4+D1J7lvNelhzZrbTmpl0Ou92WpAkpZTLSylX\n",
"D7//1vxtIIcvUWs9lWRbKeXi4alrk9y12D2rFaz6JKm1PpjkD0spf5Dk3iRvq7VOr1JNrF3/K8n7\n",
"Syn3JDlWaz2wyvWwhthOiyW6P8m1pZQDSW5M8ubVLYc1bGY++PVJ7hj+G/Q1tdb3LnaTLW0AABqx\n",
"QCgAQCOCFQBAI4IVAEAjghUAQCOCFQBAI4IVAEAjghUAQCOCFQBAI4IVAEAj/x8Ld0kx4zM3zgAA\n",
"AABJRU5ErkJggg==\n"
],
"text/latex": [
"$\\mathcal{N}(\\mu=0, \\sigma=2),\\ N=2000$"
],
"text/plain": [
"<__main__.Gaussian at 0x106ab8c18>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x2 = Gaussian(0, 2, 2000)\n",
"x2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can then compare the two Gaussians by displaying their histograms:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAAlEAAAGLCAYAAADnMccKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAALEgAACxIB0t1+/AAAGsJJREFUeJzt3X2QndddH/DvsUQs5cXIRoCNA9mGGIR5Dy9KiBMnMmnq\n",
"BAbamjOdYIOBafEMGd4MocEGUrAbG1Sgw7sLwWAI5bhT6tC0abCN4rQlSjEhmVAbG1yRRHgTYgsp\n",
"xEKOlKd/3LvmeiOvdo/26t6VPp9/ds9znufe32rvaL/znHOeU4ZhCAAAa3PWrAsAANiIhCgAgA5C\n",
"FABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRsIGVUraMv5ZSyq5Z1zMPSinnllK+atZ1AKc/\n",
"IQo2oFLKV5ZS3pPkQClla5IfTPIXp+i9P7eUclMp5d+XUv6glPIVp+J9n6KWraWUXy6lvHjp2DAM\n",
"B5K8opTyvFnVtRrHq32i77NLKb9SSvmuUsqvllIWTrYPWH9CFMypUsofl1JecZzjm5Jcn+Tnkrwo\n",
"yRcleWwYhvefgprOSnJtktcNw/A9SX4zydtKKdun/d7HqeU7k7w+yRVJyrLun0zyE6e6ptU6Qe1J\n",
"cluS24Zh+IUkv5rkd9ahD1hnQhTMoXEo+fKM/sgu97IkvzgMw68Ow/AnSb4/ya+fotIuSvI1ST5r\n",
"3P6dJM9I8o2n6P2fMAzDrwzD8ENJPnqcvseT3F9KedFaX7eUcnYp5UdKKftLKfeVUspE36tLKfeX\n",
"Un6/lPJPp1F7KeXzknzpMAz/c3zuO5N8finlczr7ntNbJ7AyIQrm08VJfiPJPy+lPG1Z38uS/GGS\n",
"lFLOS/IpwzB87BTV9XdJnp3kgiQZhuHo+Ni5p+j91+ItSV691ouGYTiS0Z2s25JcmImAOAzDm5L8\n",
"xjAMXz8Mw++tV6HLfEmSDyw79sGM7jr29H3NFGoEIkTBvPqKJD+S5ONJXrms7+xhGD4+/v5lSd59\n",
"qooahmH/MAzbh2H442Q0ByfJeUn+6FTVsAbvSfLCzmtfnOSOjIbEfnBZ3ydOpqhV+Iwkh5cdeyzJ\n",
"+Uk+vaPvM6dQI5Bk86wLAI7r3GEY9pdS3pTkqiT/JUlKKV+Q5P9OnPeFSf58+cWllG9J8vnDMFw3\n",
"bv/LJOcPw/ATE+dsS/LTOf6cnEk/MwzDe5+i77uSvGVpCOl4SinfkeS7M7p7tX1c7+NJXj4Mw4fX\n",
"sZYnGYbh4+PJ25uGYTi2mmsmfFWSmzK6k/OXpZQXD8PwjlLKjiz7955C7edm9O8z6fEkz0qytbMP\n",
"mAIhCubM+LEFS38MfzPJO0spnzkMw4eS/OMkbeL07UnedZyX+Wfja5d8U5KfnzxhGIa/TfLtJ1Hn\n",
"FyV5RZLLVjjnRzO6Q/L8jELGHyV5zTAMe9ezlhUsDTV+ZI3XbRqGYUjygVLK7yR5bZJ3ZHTn77cn\n",
"T5xC7Z80TyrJ05M8muMHtdX0AVNgOA/mz2VJ7kmSYRjeneT+JNeM+549DMPDE+c+LcnRyYvHq/cu\n",
"SXLXuL0lyQsynke1Hkopz8roTs0rh2E47h/p8V2zK5N8zzAMx8bzp/YlOZUTnR/PGv+fK6V8ZpLF\n",
"iUM/leTyUsrFGd0hPLSO9R3Pw0meuezYM8Y1LXb0fWgKNQJxJwrm0aXDMLx2ov2LSf5tKeWX8snD\n",
"NY8k2bbs2FckeWgYhoPj9ouTvC/Jx0op5y2FnlLKuUn+XfqGoW7K6I7Sw+PVa/9iGIbly+lfleRt\n",
"wzB8Yvx+mzMaJvu+5W9wkrWs5FMz+jdai8uSvG2pMQzD+0opb83osRL3Lj95CrW/M6PJ+0uvvzmj\n",
"4Pm+JB/r7AOmQIiCOVBKOSej0PFQkr9e1v3GJD+U5Pcy+mM96QMZTUSe9LXj11ny6ozubO0av/aj\n",
"yRMPpVzzMFQp5bUZzRXaMZ4j9DkZ3T1JKeUrk5wzDMPdSf4m41V8Y9+V5JeHYfjg8tfsrWWyrKc4\n",
"PkzOh1pW31N57ngV3qSfTLIno2dzLX+Dda19GIYPlFL+Xyll53jY8+VJ/mQYhvvHP0NXH7D+hCiY\n",
"Dy/MaK7Ngxk9H+oJ4wnS35Nkd8ZDdBPuSfIDy45dluRYKeXqJJ+S5O7xsc8bhuHOkylyPER3Y5JN\n",
"kyVmNME9Sb45o3lDX5bRIwLeMJ7U/swkHxmG4baTef9ltXxrksuTfHaSnymlvCPJDyytXBw/rfvP\n",
"ll326ozC5Jcd5/Wen9Gw6TeUUs4ahuHHn/gBh+GeUsp/T7J3+XXTqD3JtyS5vpTygozuLH7zxOW9\n",
"fcA6K6O5k8CsjR+W+KGJYbjVXnfnMAxfO/5+S5L9Ga3E+/jKV05HKeU7hmH4tVm897I6viXJJ4Zh\n",
"+K1lx+eiPmDjW9WdqFrr1yX5vNbaT9daL05yS5JjGU94ba1JYnCShmF4oPPSVkp5+TAMf5DRhPI/\n",
"nVWAGvvUGb73pMszejzEcvNSH7DBnXDVSq31mUle2Fr76fGh3UmuaK1dmuSBjFbfALPzxiTfON7X\n",
"7oszfqbULJRSXpXkpIYM16mOf5LkzeMVgZPH56I+4PSwmjtRNyS5qNb6n5L8WJLHWmtLy39vS3Lz\n",
"+CswA8MwHC2l3JDkW4dh+JkZ1/KWWb5/8sRquX80DMMvLe+bh/qA08eKd6JqrRcl2dRae1WS12T0\n",
"sL7J5cKPZLTlAzBDwzA8PAzDqdqEeK4Nw3DgeAEKYL2d6E7U5Un+c5K01hZrrR9J8mkT/duzwtNw\n",
"77rrLnOlAIAN47LLLjvRM9+ecKIQ9UhGy4H/sNb6rIw2uTxYa72gtfZwRpM2V5xfsJZiOLPVWl/f\n",
"Wnv9rOtg/vmssBY+L6zWWm/+nChE/cckv1RrvWfcfl1Ge1DdXms9luS+1trutZcJALCxrRiiWmvH\n",
"kvyr43RdMp1yAAA2BhsQAwB0EKIAADoIUcyTPbMugA1jz6wLYEPZM+sCOD1Nde+8u+66a7A6DwDY\n",
"CNaaW9yJAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAA\n",
"OghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA6bZ10AwOli\n",
"74P7b108dGRhqX3+OWfv23nRhVfPriJgmoQogHWyeOjIwg1377t0qX39roUZVgNMm+E8AIAOQhQA\n",
"QAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAAHYQoAIAOnlgOMGO2i4GNSYgCmDHbxcDGZDgP\n",
"AKCDEAUA0EGIAgDoIEQBAHQwsRxgzmzbunnHHfc+tCexUg/mmRAFMGcOHD665cbxaj0r9WB+Gc4D\n",
"AOggRAEAdBCiAAA6CFEAAB1MLAeYgcn98jadVXbMuBygwwlDVK310STvGTffmuT3k9yS5FiS+5Nc\n",
"01obplYhwGlocr+863YtHJx1PcDareZO1N7W2uVLjVrrf0tyRWttsdZ6bZIrk9w2rQIBAObRakLU\n",
"F9da70ny8STfnuSx1triuO+2JDdHiAIAzjCrmVj+3NbaS5K8LsmtSR6Z6HskyXlTqAsAYK6dMES1\n",
"1h4ff31XkseTfNpE9/Ykj06nNACA+bViiKq17qy1XjH+/vlJ9ifZUmu9YHzKVUnunG6JAADz50Rz\n",
"ou5L8sO11tdkdMfpmoyG726vtR5Lcl9rbfeUawQAmDsrhqjW2qEk37Ds8IeTXDK1igAANgBPLAcA\n",
"6CBEAQB0sO0LwJRs27p5xx33PrQnSc4/5+x9Oy+68OrZVgSsJyEKYEoOHD665cbx1i7X71qYcTXA\n",
"ejOcBwDQQYgCAOggRAEAdBCiAAA6mFgOcApMrtRLkk1nlR0zLAdYB0IUwCkwuVIvSa7btXBwlvUA\n",
"J89wHgBAByEKAKCDEAUA0EGIAgDoYGI5wBxbvqrPHnwwP4QogDm2fFWfPfhgfhjOAwDoIEQBAHQQ\n",
"ogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDo4InlABvU3gf337p46MjCUtuWMHBqCVEA\n",
"G9TioSMLN9gSBmbGcB4AQAchCgCggxAFANBBiAIA6GBiOcAGsm3r5h133PvQniTZdFbZMeNy4Iwm\n",
"RAFsIAcOH91y43hF3nW7Fg7Ouh44kxnOAwDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCD\n",
"EAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDosHk1J9Van5Pk\n",
"niTflOTvktyS5FiS+5Nc01obplYhAMAcOuGdqFrrWUlel+RNSUqS3UmuaK1dmuSBJFdOtUIAgDm0\n",
"muG8a5P8SpK/H5//WGttcdx3W5JdU6oNAGBurRiiaq1fnaS01t49cf6jE6c8kuS8KdUGADC3TjQn\n",
"aleSr6m1vjDJjiSvSvL+if7teXKoAgA4I6wYolprNy19X2v9sSRvTfKjtdYLWmsPJ7kqyZ3TLREA\n",
"YP6sanXeMtcmub3WeizJfa213etcEwDA3Ft1iGqt/ZuJ5iVTqAUAYMPwsE0AgA5CFABAByEKAKCD\n",
"EAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDosHnWBQAwHXsf\n",
"3H/r4qEjC0ly/jln79t50YVXz7YiOL0IUQCnqcVDRxZuuHvfpUly/a6FGVcDpx/DeQAAHYQoAIAO\n",
"QhQAQAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAAHYQoAIAOtn0BOE1s27p5xx33PrRnqb3p\n",
"rLJjhuXAaU+IAjhNHDh8dMuN473ykuS6XQsHZ1kPnO4M5wEAdBCiAAA6CFEAAB3MiQI4CXsf3H/r\n",
"4qEjC8l8T+RePun8/HPO3rfzoguvnl1FsPEJUQAnYfHQkYUbxpO553ki9/JJ59fvWphhNXB6MJwH\n",
"ANBBiAIA6CBEAQB0EKIAADqYWA6wBpOr8ZL5XpHXa/JntIoPnpoQBbAGk6vxkvlekddr8me0ig+e\n",
"muE8AIAOQhQAQAchCgCggxAFANDBxHKAFZwJq/GAPkIUwArOhNV4QB/DeQAAHYQoAIAOQhQAQAch\n",
"CgCggxAFANBhxdV5tdbNSX4tyfOSPJbku5OUJLckOZbk/iTXtNaGKdcJADBXTnQn6hlJ3thae1GS\n",
"b0/yw0l2J7mitXZpkgeSXDndEgEA5s+Kd6JaaweTvH3cXEjy4SRbWmuL42O3Jbl5/BUA4Iyxqodt\n",
"1lr/R0ZDei9O8vqJrkeSnLf+ZQEAzLdVTSxvrb0iyeVJfj5PDk3bkzw6hboAAObaiiGq1vrCWutL\n",
"xs2PJHl6ki211gvGx65KcucU6wMAmEsnGs77yyRvrLW+PqNVef86ycEkt9dajyW5r7W2e7olAgDM\n",
"nxNNLP9wkq87Ttcl0ykHAGBj8LBNAIAOQhQAQIdVPeIAgNPX3gf337p46MjCUnvTWWXHDMuBDUOI\n",
"AjjDLR46snDD3fsuXWpft2vh4CzrgY3CcB4AQAchCgCggxAFANBBiAIA6CBEAQB0EKIAADoIUQAA\n",
"HYQoAIAOQhQAQAchCgCgg21fgDPS5H5x559z9r6dF1149WwrAjYaIQo4I03uF3f9roUZVwNsRIbz\n",
"AAA6CFEAAB2EKACADkIUAEAHIQoAoIMQBQDQQYgCAOggRAEAdBCiAAA6eGI5cMbbtnXzjjvufWjP\n",
"Uts2MMBqCFHAGe/A4aNbbhxvAZPYBgZYHcN5AAAdhCgAgA5CFABAByEKAKCDieUAy0yu1tt0Vtkx\n",
"43KAOSVEASwzuVrvul0LB2ddDzCfDOcBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGI\n",
"AgDoIEQBAHTwxHKAM5CtbeDkCVEAZyBb28DJM5wHANBBiAIA6CBEAQB0EKIAADqYWA5Al70P7r91\n",
"8dCRhaX2+eecvW/nRRdePbuK4NQSogDosnjoyMIN4xV+SXL9roUZVgOn3oohqtZ6VpJfSPKFGQ39\n",
"/UiSDyW5JcmxJPcnuaa1Nky5TgCAuXKiOVFfkuSB1tpLkrwqyeuS7E5yRWvt0iQPJLlyuiUCAMyf\n",
"Fe9Etdb+NMmfjptPT/K3SUprbXF87LYkN4+/AgCcMVa1Oq/Wel6S/5DkZ5McmOh6JMl5U6gLAGCu\n",
"nXBiea31M5K8Mcn3Jflgku+f6N6e5NHplAbAvJlckWfPPc50K96JqrV+VpJbk7ymtfZga+1wkq21\n",
"1gvGp1yV5M7plgjAvFhakXfD3fsuPfqJYcus64FZOtGdqGuTPCfJr9dak9Fdp2uT3F5rPZbkvtba\n",
"7umWCAAwf040sfzajELTcpdMpxwAgI3Bti8AAB2EKACADrZ9AeApbdu6eccd9z60Z6ltRR78AyEK\n",
"gKd04PDRLTdO7I933a6Fg7OsB+aJ4TwAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghR\n",
"AAAdhCgAgA6eWA6ctvY+uP/WxUNHFpLk/HPO3rfzoguvnm1FwOlEiAJOW4uHjizcMN6y5PpdCzOu\n",
"BjjdGM4DAOggRAEAdBCiAAA6CFEAAB1MLAdgXWzbunnHHfc+tGepbUUkpzshCoB1ceDw0S03jldD\n",
"JlZEcvoznAcA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQB\n",
"AHQQogAAOghRAAAdhCgAgA5CFABAh82zLgBgvex9cP+ti4eOLCy1N51VdsywHOA0J0QBp43FQ0cW\n",
"brh736VL7et2LRycZT3A6c1wHgBAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgAgA5C\n",
"FABAByEKAKCDbV+AM8K2rZt33HHvQ3uW2vbVA07WCUNUrXVbkjcleXtr7eZa68VJbklyLMn9Sa5p\n",
"rQ3TLRPg5Bw4fHTLjfbVA9bRaobzbkrylon27iRXtNYuTfJAkiunURgAwDw7YYhqrV2T5H1JUmvd\n",
"muSx1triuPu2JLumVx4AwHxa68Tyc5M8OtF+JMl561cOAMDGsNaJ5Qfy5NC0PU8OVQBTtffB/bcu\n",
"HjqysNQ+/5yz9+286MKrZ1cRT2VyMr/fE6ejNYWo1trhWuvWWusFrbWHk1yV5M7plAbwyRYPHVm4\n",
"YWKC+PW7FmZYDSuZnMzv98TpaC0hamkF3rVJbq+1HktyX2tt9/qXBQAw31YVolprb0/y9vH39ye5\n",
"ZJpFAQDMO08sBwDoIEQBAHSw7QuwoU2uALOVC3AqCVHAhja5AsxWLsCpZDgPAKCDEAUA0EGIAgDo\n",
"IEQBAHQQogAAOghRAAAdhCgAgA5CFABAByEKAKCDEAUA0EGIAgDoIEQBAHQQogAAOghRAAAdhCgA\n",
"gA6bZ10AwEr2Prj/1sVDRxaW2pvOKjtmWA7AE4QoYK4tHjqycMPd+y5dal+3a+HgLOsBWGI4DwCg\n",
"gxAFANBBiAIA6CBEAQB0MLEcmLnlK/DOP+fsfTsvuvDq2VXEetu2dfOOO+59aM9Se6Xf8eTnwWeB\n",
"eSZEATO3fAXe9bsWZlgN03Dg8NEtN67ydzz5efBZYJ4ZzgMA6CBEAQB0EKIAADoIUQAAHUwsB+CU\n",
"m1ytt9IKvLWs6oNTTYgC4JSbXK230gq8tazqg1PNcB4AQAchCgCggxAFANBBiAIA6GBiOQAbxmpX\n",
"9S1nf0amQYgCYMNY7aq+5ezPyDQYzgMA6CBEAQB0EKIAADqYEwWcEmuZ2Ds5eXjTWWXHKSkQYI2E\n",
"KOCUWMvE3snJw9ftWjg4/eoA1s5wHgBAByEKAKCDEAUA0MGcKGDVDhw4sDXJxROHPn7uuee+d1b1\n",
"AMySEMXcqLW+tLW2Z9Z1sKKFO/7sb+58919/9Owk+fov2P7+Z33ksXcurbo7/1lPe/biRx//4NLJ\n",
"ttZgNSZXYyarX5G5/LrJz9vkatC/P/zYtmc84xnnr2fNkAhRzJeXJtkz4xo4gfv/5mPlf//Vwa1J\n",
"svNzzjnyscePPbHq7rpdCwdvvHvf5y6da2sNVmNyNWay+hWZy6+b/LwtXw1qlSfT0B2iaq0/leQF\n",
"Gc2r+v7W2t51qwoAYM51TSyvtb4iySdaay9O8sokP7muVQEAzLne1XkvS/JbSdJaO5jkz2qtz1m3\n",
"qgAA5lzvcN55SR6ZaH9kfOyvTroiYK699LnnPvZZ55z90SR53qc9/WkPHzoy65IAZqIMw7Dmi2qt\n",
"NyV5U2vtveP2Lya5qbX2/snz7rrrrrW/OADAjFx22WVltef23om6K8k3J3lvrXVbkouXB6i1FgIA\n",
"sJF0zYlqrf1BktRa35HkLUl+cD2LAgCYd13DeQAAZzp75wEAdBCiAAA6CFEAAB2mtnderfUlSX43\n",
"yZe21j48Pva9Sb4po/D2htbam6f1/mxMtdarM1qo8OHxoe9trb1ndhUxb2w5xVrUWh9NsvR/yFtb\n",
"azfPsh7my/gJA29K8vbW2s211ouT3JLkWJL7k1zTWnvKyeNTCVG11s9O8m1J7k5Sxsd2JHlBa+1F\n",
"tdbNSe6utb6ttfb306iBDWtI8uOttd+ddSHMn8ktp2qtn5rkzUkuPcFlnNn2ttYun3URzK2bMnrK\n",
"wDPH7d1JrmitLdZar01yZZLbnuriqQzntdY+0Fr7tiSPZ/RHMUlemuS3x/1Hk/zXJDun8f5seD9Q\n",
"a31XrXX3rAth7thyirX64lrrPbXWu2qtz551McyX1to1Sd6XJLXWrUkea60tjrtvS7JrpetP6k5U\n",
"rfXzk/zsssMfaq1dfZzTz0vy3on20lYxnIGe6rOT5Dtba78xPufnaq0vX3ouGcSWU6zdc1trj9da\n",
"vzrJG5JcNeuCmFvnJnl0ov1ITpBTTipEtdb+PMlqb5M+mmT7RPvTk/zFybw/G9cqPzu/l+TLkwhR\n",
"LFn6f+Svx+3teXKogidprT0+/vquWuv2E53PGe1AnhyatufJoeqTnIrVeUtbv9yd5NVJUmv9lCSv\n",
"TGJCKE9Sa31trfUzxs2vS3LvLOth7ixtObU0IfS4W05BktRad9Zarxh///z8Q/iGT9JaO5xka631\n",
"gvGhq5LcudI1pyJEDUnSWnsgyR/VWv9XknuS/FRrzfbvLPd/kry51vr2JI+21vbMuB7miC2nWKP7\n",
"klxVa92T5Pokr5ttOcyxpfnb1ya5ffw36Hmttd9e6SLbvgAAdPCwTQCADkIUAEAHIQoAoIMQBQDQ\n",
"QYgCAOggRAEAdBCiAAA6CFEAAB2EKACADv8fn0xUCxJB1sMAAAAASUVORK5CYII=\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAAlYAAAGLCAYAAAAF7dxzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAALEgAACxIB0t1+/AAAG4FJREFUeJzt3X+U5lddH/D3d3chu0LiJi64MQhTMLrGqlXEBAmuTEAK\n",
"2FbbeE8PJHaptU2PHEUieDiJP6qbkkD80UqhUquLgVBveqqhcsrRZN2EenRtI8gBE7M2XYGVCWV3\n",
"3QWyzpLNt388z8TJMDObmb3zzDwzr9c5c3a+3/v9Ps8nz+7OvnPv/d7b9X0fAADO3abVLgAAYL0Q\n",
"rAAAGhGsAAAaEawAABoRrAAAGhGsAAAaEawAABoRrAAAGhGsYJ3pum7r8Neu67rJ1a5nLei67sKu\n",
"616w2nUA659gBetE13Xf1nXdnyY53nXdtiRvTPIXI3rvr+667le6rvvhrut+teu6iVG87zx1PK/r\n",
"upu7rvt3Xdf9Xtd1z0+Svu+PJ3l513Vfsxp1PRkL1T6rfcHPeLltwAro+96XL19j8pXkfyd5+Tzn\n",
"Nyf57ST/Ism3JnlBkteNsK4DSa4cfn9Fkj9chc9mU5J3JOmGx9cmOZpkx/D4qUnet9q/h8up/Wyf\n",
"8XLbfPny1f5LjxWMia7rdiT5liRXz9P8kiTv6Pv+V/u+/5Mkb0jy6yOq62uTfHPf9/8zSfq+/6Mk\n",
"X9d13XNG8f6zXJrkO5J81fD4fUmeluR7h3WdTvJA13UvWuoLd113Xtd1P9l13ZGu6+7vuq6b1fbq\n",
"ruse6Lruv3dd930rUfsin/Gzl9k26t8b2DAEKxgflyV5d5J/0nXdU+e0vSTJ7ydJ13UXJXlK3/df\n",
"GFFd35Tkk3POfSqDoDBKn0/yrCQXJ0nf948Oz10465oPJHn1Ul+47/vpJG9NcluSSzIMPMO225O8\n",
"u+/7f9D3/W+tUO0LfcYvWmbbqH9vYMPYstoFAE/a85P8ZJJXJXllBkN/M87r+/6Lw+9fkuTDI6zr\n",
"mUlOzTn3SJKvHGEN6fv+SJIdM8dd1311kouS/OGsy/40yQuX+RYvTnJnBkOKb0wyO0Q9tszXTPKk\n",
"al/oM96Z5G+W0TbS3xvYSAQrGB8X9n1/pOu62zOYg/PbSdJ13dcn+bNZ131Dkj+fe3PXdT+Q5Ov6\n",
"vr9hePxDSXb2ff9zs67ZnuQXknRz75/jF/u+/+hMXUlOz2k/neT8hW7uuu4Hk/xIBj00O4b1nk7y\n",
"sr7vP3MOtcz2w0k+MDMMliR933+x67ptXddt7vv+zFled64XJLk5gx6f/9N13Yv7vv9Q13W7Mufz\n",
"XoHaF/uMty2zDVgBghWMgeESCjP/QP5Gkj/quu4r+75/OMl3J6mzLt+R5I/neZl/PLx3xvcnefvs\n",
"C/q+/+sk/3yJ5X1unnNfluTYfBd3XfdTSZ6RwST7LoNemdf1fX+wQS0z7/F3k7w8yVXzNM8MsX12\n",
"iS+7ue/7Psknu657X5I3JflQBj2E75194QrUvthnPF94ezJtwAowxwrGw1VJ7k2Svu8/nOSBJNcN\n",
"257V9/2nZ1371CSPzr6567rNSa5McvfweGsGT4j9foPaPp3k6XPOPS3Jw3MvHPauXZPkR/u+PzOc\n",
"S3Q4SbPJ1F3XnZ9Bz9Ir+76fL0CczhJ/9nVd95VJpmadeluSV3Rdd1kGPYknl1vvnPdZqPaFPuOp\n",
"4ddS277k9wZoQ48VjIfdfd+/adbxO5L8267r3pkvHeo5mmT7nHPPT/JQ3/cnhscvTvKxJF/ouu6i\n",
"mX/Eu667MMnPZ2lDWH+UwcTrDF9jSwZB6WPz3PeqJL/b9/1js659QZIfm3vhMmtJBsHkdX3ff3r4\n",
"9N4/7fv+fbPavzyDz2gprkryuzMHfd9/rOu6Dya5Mcl9I6h9sc/4C8tsA1aAYAVrVNd1F2QQRB5K\n",
"8ldzmn8tyU9kMIH65+e0fTKDyc6zvXT4OjNenUEP2OTwtY8ljy+kuaQhrL7vP9l13f/tuu7y4XDe\n",
"y5L8Sd/3Dwz/O74tyQV93+9P8v8yfPJt6IeT/Me+7z81z+suuZau696UwRyoXcO5T8/OoLdnzkv/\n",
"7fyqOfUt5LnDp/9me2sGa0T98krX/iQ+42W1Ae0JVrB2vTCDuTuHMli/6nHDSdg/muTWDIf3Zrk3\n",
"yY/POXdVkjNd1+1J8pQk+4fnvrbv+7sa1PoDSW7suu6KDHrHXjOr7dUZBLi/l8FyBW8ZTpx/epLP\n",
"9n1/W4P3nxlmvCmDxVJn9BlM5p+5ZiLJx+fcOru+ua/5rRkMuf6jrus29X3/s4+/cN/f23Xd/0hy\n",
"cO59K1F7Fv+Ml9sGNDazyi+wBg0XeHx41hDek73vrr7vXzr8fmuSIxk8AfjFxe9cGV3X/WDf9/95\n",
"Nd57Th0/kOSxvu/fM+f8mqgPGH+L9liVUrYnuT3JPbXWW0opV2QwafOxDIYVfqjW+mgp5W0ZTITd\n",
"lOQNtdZz/j84IOn7/sFl3lq7rntZ3/e/l8Gk9Y+sVqga+vJVfO/ZXpHBUhVzrZX6gDF3tidjbs5g\n",
"peIZJcn31lp3Z/B/wC8ppbw8yWO11hdnsGjhW1ekUmApfi3J93ZdtynJN+aJi4mOVNd1r0rSYrjx\n",
"XOv4+0neP3wScfb5NVEfsD4sGqxqrddl1tMjtdY31FpnnqZ5eobhKsl7hu0nkny8lGIfKlhFw/Cw\n",
"N8k/6/v+F/u+/5IJ1iOs5QMLLII5MsOn9P7OnKcDk6yN+oD1Y1nrWJVSXpvkkVrrn2Ww7cLsR5c/\n",
"OzwHrKK+7z/d9/1INmJe6/q+P973/TtXuw5g/VvyU4GllH+d5Nm11jcPTx3LYKXnmcfBd2SRNWLu\n",
"vvtus+UBgLFx1VVXnW1NusctKViVUt6Q5OmzQlUyeNT7NUk+Opzsflmt9ROtCmRjK6X8TK31Z1a7\n",
"DtY+f1ZYCn9eeLKW2iH0ZINVX0q5IMnPJTlYSnnJ8PzP11p/p5Ty0lLKhzIYWnz9UgoAAFgvzhqs\n",
"aq33JLlnePi0Ba75iZZFAQCMI5swAwA0IlgBADQiWLHWHVjtAhgbB1a7AMbKgdUugPVp5HsF3n33\n",
"3b2nAgGAcbDU3KLHCgCgEcEKAKARwQoAoBHBCgCgEcEKAKARwQoAoJElbcIMsFQHDx3ZN3VyemK+\n",
"tp0XnHf48ksv2TPaigBWjmAFrKipk9MTe/cf3j1f242TEyOuBmBlGQoEAGhEsAIAaESwAgBoRLAC\n",
"AGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBo\n",
"RLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESw\n",
"AgBoRLACAGhEsAIAaESwAgBoZMtqFwCwEg4eOrJv6uT0xHxtOy847/Dll16yZyXuBTY2wQpYl6ZO\n",
"Tk/s3X9493xtN05OrNi9wMZmKBAAoBHBCgCgEcEKAKARwQoAoBGT14GxtNiTe0myeVO3a4TlACQ5\n",
"S7AqpWxPcnuSe2qtt5RSLkvyriRnkjyQ5Lpaa19KeVuSKzLoAXtDrfXgCtcNbHCLPbmXJDdMTpwY\n",
"ZT0AydmHAm9O8oFZx7cmubrWujvJg0muKaW8PMljtdYXJ3llkreuSKUAAGvcoj1WtdbrSim7k1xR\n",
"StmW5JFa69Sw+bYktyR5OMl7htefKKV8vJTynFrrX65k4QCrYfu2LbvuvO+hAwu1W0AUNralzLG6\n",
"MMmxWcefTXJRki8mOTrPecEKWHeOn3p0602LDEFaQBQ2tqUEq+MZBKYZz8ggaB1LsiPJXw3P78gT\n",
"gxbAvPT+AOvNkw5WtdZTpZRtpZSLa62fTnJtkruSfCbJa5J8dDjZ/bJa6ydWplxgPdH7A6w3TzZY\n",
"9cNfr09yRynlTJL7a623Jkkp5aWllA9lMBn+9e3LBABY+84arGqt9yS5Z/j9A0munOean2hfGgDA\n",
"eLHyOgBAI4IVAEAjtrQBaGixJx095Qjrn2AF0NBiTzp6yhHWP0OBAACNCFYAAI0IVgAAjQhWAACN\n",
"CFYAAI0IVgAAjQhWAACNCFYAAI0IVgAAjQhWAACN2NIG2HAW288vSTZv6naNsJzHHTx0ZN/UyemJ\n",
"+drsMwjjQbACNpzF9vNLkhsmJ06Msp4ZUyenJ/baZxDGmqFAAIBGBCsAgEYEKwCARgQrAIBGBCsA\n",
"gEYEKwCARiy3AKxZi603tVprTQEsRrAC1qzF1ptarbWmABZjKBAAoBHBCgCgEcEKAKARwQoAoBHB\n",
"CgCgEcEKAKARwQoAoBHrWAHn7OChI/umTk5PzNdmIU9gIxGsgHM2dXJ6Yq+FPAEMBQIAtCJYAQA0\n",
"IlgBADQiWAEANCJYAQA0IlgBADQiWAEANCJYAQA0IlgBADQiWAEANCJYAQA0IlgBADQiWAEANCJY\n",
"AQA0IlgBADSyZbULANaGg4eO7Js6OT0xX9vOC847fPmll+wZbUUA40ewApIkUyenJ/buP7x7vrYb\n",
"JydGXA3AeFpysCqlbE3y7iTPSLI5yU1JPpXkXUnOJHkgyXW11r5hnQAAa95y5lg9N8nxWutkktcm\n",
"eU2SW5NcXWvdneTBJNe0KxEAYDwsOVjVWv8sybZSyv1J7k1yc5JHaq1Tw0tuSzLZrkQAgPGw5GBV\n",
"SnlRki/UWr8+yXcn+fdJjs665GiSi9qUBwAwPpYzFPiiJHckj/deJclXzGrfkeTYOdYFADB2lhOs\n",
"HkjyXUlSSrk4gwnrW4ffJ8m1Se5qUh0AwBhZzhyr9ye5sJRyT5Lbk7wxyY8nuWN47mtqre9tWyYA\n",
"wNq3rHWsaq0/Ms/pK8+xFgCAsWZLGwCARgQrAIBGBCsAgEYEKwCARgQrAIBGBCsAgEYEKwCARpa1\n",
"jhWwsWzftmXXnfc9dGCh9s2bul0jLAdgzRKsgLM6furRrTftP7x7ofYbJidOjLIegLXKUCAAQCOC\n",
"FQBAI4IVAEAjghUAQCMmrwOMiKcrYf0TrABGxNOVsP4ZCgQAaESwAgBoRLACAGhEsAIAaESwAgBo\n",
"RLACAGhEsAIAaESwAgBoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaGTLahcAjMbBQ0f2TZ2cnlio\n",
"ffOmbtcIywFYlwQr2CCmTk5P7N1/ePdC7TdMTpwYZT0A65GhQACARgQrAIBGBCsAgEYEKwCARgQr\n",
"AIBGBCsAgEYEKwCARgQrAIBGBCsAgEYEKwCARgQrAIBGBCsAgEZswgxj5OChI/umTk5PLNS+84Lz\n",
"Dl9+6SV7RlcRALMJVjBGpk5OT+zdf3j3Qu03Tk6MsBoA5jIUCADQiGAFANCIYAUA0IhgBQDQiGAF\n",
"ANDIsp8KLKV8T5KvrbX+QinlsiTvSnImyQNJrqu19o1qBAAYC8vqsSqlPD3JC2utvzA8dWuSq2ut\n",
"u5M8mOSaRvUBAIyN5fZY7U1yaSnlvyb56SSP1Fqnhm23Jbll+CsAwIax5B6rUsqlSTbXWl+V5HVJ\n",
"3p7k6KxLjia5qE15AADjYzlDga9I8t+SZNhL9dkkXzGrfUeSY+deGgDAeFlOsDqaZDJJSinnJ9mZ\n",
"ZGsp5eJh+7VJ7mpTHgDA+FjOHKv/kuSdpZR7h8dvzqDX6o5Sypkk99dab21VIADAuFhysKq1nkny\n",
"L+dpuvLcywEAGF8WCAUAaESwAgBoRLACAGhEsAIAaESwAgBoZNmbMAOwdhw8dGTf1Mnpifnadl5w\n",
"3uHLL71kz2grgo1JsAJYB6ZOTk/s3X9493xtN05OjLga2LgMBQIANCJYAQA0IlgBADQiWAEANCJY\n",
"AQA0IlgBADQiWAEANCJYAQA0IlgBADRi5XVYR7Zv27LrzvseOjBf2+ZN3a4RlwOw4QhWsI4cP/Xo\n",
"1psW2NbkhsmJE6OuB2CjMRQIANCIYAUA0IhgBQDQiGAFANCIYAUA0IhgBQDQiGAFANCIdawAxsBi\n",
"i78mFoCFtUKwAhgDiy3+mlgAFtYKQ4EAAI0IVgAAjQhWAACNCFYAAI0IVgAAjQhWAACNCFYAAI0I\n",
"VgAAjQhWAACNCFYAAI0IVgAAjQhWAACNCFYAAI0IVgAAjQhWAACNCFYAAI0IVgAAjQhWAACNCFYA\n",
"AI0IVgAAjQhWAACNCFYAAI0IVgAAjWxZ7o2llOckuTfJ9yf5fJJ3JTmT5IEk19Va+yYVAgCMiWUF\n",
"q1LKpiRvTnJ7ki7JrUmurrVOlVKuT3JNktuaVQnryMFDR/ZNnZyeWKh95wXnHb780kv2jK4iAFpZ\n",
"bo/V9Ul+Jck/zGA48ZFa69Sw7bYkt0SwgnlNnZye2Lv/8O6F2m+cnBhhNQC0tOQ5VqWUb0/S1Vo/\n",
"POs1js265GiSixrUBgAwVpbTYzWZ5DtKKS9MsivJq5J8Ylb7jjwxaAGwirZv27LrzvseOrBQu+Fn\n",
"aGfJwarWevPM96WUn07ywSQ/VUq5uNb66STXJrmrXYkAnIvjpx7depPhZxiJZT8VOMf1Se4opZxJ\n",
"cn+t9dZGrwsAMDbOKVjVWv/NrMMrz7EWAICxZoFQAIBGBCsAgEYEKwCARgQrAIBGBCsAgEYEKwCA\n",
"RgQrAIBGBCsAgEYEKwCARgQrAIBGWu0VCDSyfduWXXfe99CB+do2b+p2jbgcAJZAsII15vipR7fe\n",
"tP/w7vnabpicODHqegB48gwFAgA0IlgBADQiWAEANCJYAQA0IlgBADQiWAEANCJYAQA0IlgBADQi\n",
"WAEANCJYAQA0YksbgA1usf0pd15w3uHLL71kz2grgvElWAFscIvtT3nj5MSIq4HxZigQAKARPVYA\n",
"LNvBQ0f2TZ2cnpivzTAiG5FgBcCyTZ2cnthrGBEeJ1jBCljs/+I3b+p2jbgcAEZEsIIVsNj/xd8w\n",
"OXFi1PUAMBomrwMANCJYAQA0IlgBADQiWAEANCJYAQA0IlgBADQiWAEANCJYAQA0IlgBADQiWAEA\n",
"NGJLGwAWtH3bll133vfQgYXa7X0JTyRYAbCg46ce3XrTAvteJva+hLkMBQIANCJYAQA0IlgBADQi\n",
"WAEANCJYAQA0IlgBADQiWAEANCJYAQA0suQFQkspm5L8hyTfkEEw+8kkDyd5V5IzSR5Icl2ttW9Y\n",
"JwDAmrecHqtvSvJgrfU7k7wqyZuT3Jrk6lrr7iQPJrmmXYkAAONhyT1WtdaPJPnI8PDLkvx1kq7W\n",
"OjU8d1uSW4a/AgBsGMueY1VKuSjJf0ryS0mOz2o6muSic6wLAGDsLCtYlVKemeQ3kvxYkg/niUFq\n",
"R5Jj514aAMB4WXKwKqV8VZJ9SV5Xaz1Uaz2VZFsp5eLhJdcmuatdiQAA42HJc6ySXJ/kOUl+vZSS\n",
"DHqnrk9yRynlTJL7a623tisRAGA8LGfy+vUZBKm5rjz3cmA8HDx0ZN/UyemJhdo3b+p2jbAcANaI\n",
"5fRYwYY3dXJ6Yu/+w7sXar9hcuLEKOsBYG2w8joAQCOCFQBAI4IVAEAjghUAQCMmr7Nhne3Jvp0X\n",
"nHf48ksv2TO6imBjWezvoL9/jCvBig3rbE/23Tg5McJqYONZ7O+gv3+MK0OBAACNCFYAAI0IVgAA\n",
"jQhWAACNmLwOC9i+bcuuO+976MB8bfYCBGA+ghUs4PipR7fetMATS/YCBGA+hgIBABrRYwXAilhs\n",
"OD0xpM76JFgBsCIWG05PDKmzPglWAIwV21GxlglWAIwV21Gxlpm8DgDQiGAFANCIYAUA0IhgBQDQ\n",
"iMnrjLWzPh10/lOfNfW505+ar80aOgC0Jlgx1s72dNANkxMnbtp/+HkLta1cZQBsRIYCAQAaEawA\n",
"ABoRrAAAGhGsAAAaEawAABoRrAAAGhGsAAAaEawAABoRrAAAGhGsAAAasaUNAGvO9m1bdt1530MH\n",
"5muzzydrmWAFwJpz/NSjW29aYB9Q+3yylhkKBABoRLACAGhEsAIAaESwAgBoRLACAGhEsAIAaMRy\n",
"C4zEwUNH9k2dnJ6Yr23nBecdvvzSS/aMtiJgI1rsZ1Gy+M+jc7mXjUOwYiSmTk5P7F1gTZobJydG\n",
"XA2wUS32syhZ/OfRudzLxmEoEACgET1WrHmLdb/b2gKYy3Y4rCbBijVvse53W1sAc9kOh9VkKBAA\n",
"oBE9Vqy6xbrt/+bUI9uf9rSn7RxxScAGdS7DiIvd64nBjUOwYtUt1m2f6LoHRudchhEXu9cTgxtH\n",
"02BVSnlbkisyGGJ8Q631YMvX59wcP378/Ic/d/r7Huv7br7287ZsOvq8S575O6OuCwDWi2bBqpTy\n",
"8iSP1VpfXEr58iTvT7JgLwSr4qs++ODRt//B4b8+f77GPc+/+CPPuyQLBquzLo53/lOfNfW505+a\n",
"r82TOMBGttgwYWJh0vWkZY/VS5K8J0lqrSdKKR8vpTyn1vqXDd+Dc/SZz58+c/j438zb9sgXHzu9\n",
"2L1nWxzvhsmJEzftP/y8hdqWVCjAOnK2KQ8WJl0/Wgari5IcnXX82eE5wWoN+a7nXnhq5/lP/fx8\n",
"bc++cOtTRl0PAKwnXd/3TV6olHJzkttrrR8dHr8jyc211k/Mvu7uu+9u84YAACNw1VVXzTs3eT4t\n",
"e6zuTvKaJB8tpWxPctncULXU4gAAxkmzBUJrrb+XJKWUDyX5QJI3tnptAIBx0GwoEABgo7OlDQBA\n",
"I4IVAEAjghUAQCMj3SuwlPKdSX4zyTfXWj8zPPf6JN+fQch7S631/aOsibWvlLIng4chPjM89fpa\n",
"65+uXkWsNbbTYilKKceSzPwM+WCt9ZbVrIe1Zbiywe1J7qm13lJKuSzJu5KcSfJAkutqrQtOUB9Z\n",
"sCqlfHWS1ybZn6QbntuV5Ipa64tKKVuS7C+l/G6tdf6lwdmo+iQ/W2v9zdUuhLXHdlosw8Fa6ytW\n",
"uwjWrJszWN3g6cPjW5NcXWudKqVcn+SaJLctdPPIhgJrrZ+stb42yekM/qFMku9K8t5h+6NJfifJ\n",
"5aOqibHy46WUPy6l3LrahbDmPGE7rSQfL6U8Z3VLYo37xlLKvaWUu0spz1rtYlhbaq3XJflYkpRS\n",
"tiV5pNY6NWy+LcnkYvc377EqpXxdkl+ac/rhWuueeS6/KMlHZx3PbIPDBrTQn50k/6rW+u7hNb9c\n",
"SnnZzLppENtpsXTPrbWeLqV8e5K3JLl2tQtizbowybFZx0dzlpzSPFjVWv88yZPtYj2WZMes42ck\n",
"+YvWNTEenuSfnd9K8i1JBCtmzPwc+avh8Y48MWjBE9RaTw9//eNSyo6zXc+GdjxPDFI78sSg9SVW\n",
"66nAmW1t9id5dZKUUp6S5JVJTDrlCUopbyqlPHN4+D1J7lvNelhzZrbTmpl0Ou92WpAkpZTLSylX\n",
"D7//1vxtIIcvUWs9lWRbKeXi4alrk9y12D2rFaz6JKm1PpjkD0spf5Dk3iRvq7VOr1JNrF3/K8n7\n",
"Syn3JDlWaz2wyvWwhthOiyW6P8m1pZQDSW5M8ubVLYc1bGY++PVJ7hj+G/Q1tdb3LnaTLW0AABqx\n",
"QCgAQCOCFQBAI4IVAEAjghUAQCOCFQBAI4IVAEAjghUAQCOCFQBAI4IVAEAj/x8Ld0kx4zM3zgAA\n",
"AABJRU5ErkJggg==\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display_png(x)\n",
"display_png(x2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that like `print`, you can call any of the `display` functions multiple times in a cell."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Adding IPython display support to existing objects"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When you are directly writing your own classes, you can adapt them for display in IPython by following the above approach. But in practice, you often need to work with existing classes that you can't easily modify. We now illustrate how to add rich output capabilities to existing objects. We will use the NumPy polynomials and change their default representation to be a formatted LaTeX expression."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, consider how a NumPy polynomial object renders by default:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Polynomial([ 1., 2., 3.], [-10., 10.], [-1, 1])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p = np.polynomial.Polynomial([1,2,3], [-10, 10])\n",
"p"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, define a function that pretty-prints a polynomial as a LaTeX string:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def poly_to_latex(p):\n",
" terms = ['%.2g' % p.coef[0]]\n",
" if len(p) > 1:\n",
" term = 'x'\n",
" c = p.coef[1]\n",
" if c!=1:\n",
" term = ('%.2g ' % c) + term\n",
" terms.append(term)\n",
" if len(p) > 2:\n",
" for i in range(2, len(p)):\n",
" term = 'x^%d' % i\n",
" c = p.coef[i]\n",
" if c!=1:\n",
" term = ('%.2g ' % c) + term\n",
" terms.append(term)\n",
" px = '$P(x)=%s$' % '+'.join(terms)\n",
" dom = r', $x \\in [%.2g,\\ %.2g]$' % tuple(p.domain)\n",
" return px+dom"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This produces, on our polynomial ``p``, the following:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"'$P(x)=1+2 x+3 x^2$, $x \\\\in [-10,\\\\ 10]$'"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"poly_to_latex(p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can render this string using the `Latex` class:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$P(x)=1+2 x+3 x^2$, $x \\in [-10,\\ 10]$"
],
"text/plain": [
""
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Latex\n",
"Latex(poly_to_latex(p))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"However, you can configure IPython to do this automatically by registering the `Polynomial` class and the `poly_to_latex` function with an IPython display formatter. Let's look at the default formatters provided by IPython:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" image/png : PNGFormatter\n",
" application/pdf : PDFFormatter\n",
" text/html : HTMLFormatter\n",
" image/jpeg : JPEGFormatter\n",
" text/plain : PlainTextFormatter\n",
" text/markdown : MarkdownFormatter\n",
" application/json : JSONFormatter\n",
" application/javascript : JavascriptFormatter\n",
" text/latex : LatexFormatter\n",
" image/svg+xml : SVGFormatter\n"
]
}
],
"source": [
"ip = get_ipython()\n",
"for mime, formatter in ip.display_formatter.formatters.items():\n",
" print('%24s : %s' % (mime, formatter.__class__.__name__))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `formatters` attribute is a dictionary keyed by MIME types. To define a custom LaTeX display function, you want a handle on the `text/latex` formatter:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"ip = get_ipython()\n",
"latex_f = ip.display_formatter.formatters['text/latex']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The formatter object has a couple of methods for registering custom display functions for existing types."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help on method for_type in module IPython.core.formatters:\n",
"\n",
"for_type(typ, func=None) method of IPython.core.formatters.LatexFormatter instance\n",
" Add a format function for a given type.\n",
" \n",
" Parameters\n",
" -----------\n",
" typ : type or '__module__.__name__' string for a type\n",
" The class of the object that will be formatted using `func`.\n",
" func : callable\n",
" A callable for computing the format data.\n",
" `func` will be called with the object to be formatted,\n",
" and will return the raw data in this formatter's format.\n",
" Subclasses may use a different call signature for the\n",
" `func` argument.\n",
" \n",
" If `func` is None or not specified, there will be no change,\n",
" only returning the current value.\n",
" \n",
" Returns\n",
" -------\n",
" oldfunc : callable\n",
" The currently registered callable.\n",
" If you are registering a new formatter,\n",
" this will be the previous value (to enable restoring later).\n",
"\n"
]
}
],
"source": [
"help(latex_f.for_type)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help on method for_type_by_name in module IPython.core.formatters:\n",
"\n",
"for_type_by_name(type_module, type_name, func=None) method of IPython.core.formatters.LatexFormatter instance\n",
" Add a format function for a type specified by the full dotted\n",
" module and name of the type, rather than the type of the object.\n",
" \n",
" Parameters\n",
" ----------\n",
" type_module : str\n",
" The full dotted name of the module the type is defined in, like\n",
" ``numpy``.\n",
" type_name : str\n",
" The name of the type (the class name), like ``dtype``\n",
" func : callable\n",
" A callable for computing the format data.\n",
" `func` will be called with the object to be formatted,\n",
" and will return the raw data in this formatter's format.\n",
" Subclasses may use a different call signature for the\n",
" `func` argument.\n",
" \n",
" If `func` is None or unspecified, there will be no change,\n",
" only returning the current value.\n",
" \n",
" Returns\n",
" -------\n",
" oldfunc : callable\n",
" The currently registered callable.\n",
" If you are registering a new formatter,\n",
" this will be the previous value (to enable restoring later).\n",
"\n"
]
}
],
"source": [
"help(latex_f.for_type_by_name)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this case, we will use `for_type_by_name` to register `poly_to_latex` as the display function for the `Polynomial` type:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"latex_f.for_type_by_name('numpy.polynomial.polynomial',\n",
" 'Polynomial', poly_to_latex)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Once the custom display function has been registered, all NumPy `Polynomial` instances will be represented by their LaTeX form instead:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$P(x)=1+2 x+3 x^2$, $x \\in [-10,\\ 10]$"
],
"text/plain": [
"Polynomial([ 1., 2., 3.], [-10., 10.], [-1, 1])"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$P(x)=-20+71 x+-15 x^2+x^3$, $x \\in [-1,\\ 1]$"
],
"text/plain": [
"Polynomial([-20., 71., -15., 1.], [-1, 1], [-1, 1])"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p2 = np.polynomial.Polynomial([-20, 71, -15, 1])\n",
"p2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## More complex display with `_ipython_display_`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Rich output special methods and functions can only display one object or MIME type at a time. Sometimes this is not enough if you want to display multiple objects or MIME types at once. An example of this would be to use an HTML representation to put some HTML elements in the DOM and then use a JavaScript representation to add events to those elements.\n",
"\n",
"**IPython 2.0** recognizes another display method, `_ipython_display_`, which allows your objects to take complete control of displaying themselves. If this method is defined, IPython will call it, and make no effort to display the object using the above described `_repr_*_` methods for custom display functions. It's a way for you to say \"Back off, IPython, I can display this myself.\" Most importantly, your `_ipython_display_` method can make multiple calls to the top-level `display` functions to accomplish its goals.\n",
"\n",
"Here is an object that uses `display_html` and `display_javascript` to make a plot using the [Flot](http://www.flotcharts.org/) JavaScript plotting library:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import json\n",
"import uuid\n",
"from IPython.display import display_javascript, display_html, display\n",
"\n",
"class FlotPlot(object):\n",
" def __init__(self, x, y):\n",
" self.x = x\n",
" self.y = y\n",
" self.uuid = str(uuid.uuid4())\n",
" \n",
" def _ipython_display_(self):\n",
" json_data = json.dumps(list(zip(self.x, self.y)))\n",
" display_html(''.format(self.uuid),\n",
" raw=True\n",
" )\n",
" display_javascript(\"\"\"\n",
" require([\"//cdnjs.cloudflare.com/ajax/libs/flot/0.8.2/jquery.flot.min.js\"], function() {\n",
" var line = JSON.parse(\"%s\");\n",
" console.log(line);\n",
" $.plot(\"#%s\", [line]);\n",
" });\n",
" \"\"\" % (json_data, self.uuid), raw=True)\n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/javascript": [
"\n",
" require([\"//cdnjs.cloudflare.com/ajax/libs/flot/0.8.2/jquery.flot.min.js\"], function() {\n",
" var line = JSON.parse(\"[[0.0, 0.0], [0.20408163265306123, 0.20266793654820095], [0.40816326530612246, 0.39692414892492234], [0.6122448979591837, 0.5747060412161791], [0.8163265306122449, 0.7286347834693503], [1.0204081632653061, 0.8523215697196184], [1.2244897959183674, 0.9406327851124867], [1.4285714285714286, 0.9899030763721239], [1.6326530612244898, 0.9980874821347183], [1.836734693877551, 0.9648463089837632], [2.0408163265306123, 0.8915592304110037], [2.2448979591836737, 0.7812680235262639], [2.4489795918367347, 0.6385503202266021], [2.6530612244897958, 0.469329612777201], [2.857142857142857, 0.28062939951435684], [3.0612244897959187, 0.0802816748428135], [3.2653061224489797, -0.12339813736217871], [3.4693877551020407, -0.3219563150726187], [3.673469387755102, -0.5071517094845144], [3.8775510204081636, -0.6712977935519321], [4.081632653061225, -0.8075816909683364], [4.285714285714286, -0.9103469443107828], [4.4897959183673475, -0.9753282860670456], [4.6938775510204085, -0.9998286683840896], [4.8979591836734695, -0.9828312039256306], [5.1020408163265305, -0.9250413717382029], [5.3061224489795915, -0.8288577363730427], [5.510204081632653, -0.6982723955653996], [5.714285714285714, -0.5387052883861563], [5.918367346938775, -0.35677924089893803], [6.122448979591837, -0.16004508604325057], [6.326530612244898, 0.04333173336868346], [6.530612244897959, 0.2449100710119793], [6.73469387755102, 0.4363234264718193], [6.938775510204081, 0.6096271964908323], [7.142857142857143, 0.7576284153927202], [7.346938775510204, 0.8741842988197335], [7.551020408163265, 0.9544571997387519], [7.755102040816327, 0.9951153947776636], [7.959183673469388, 0.9944713672636168], [8.16326530612245, 0.9525518475314604], [8.36734693877551, 0.8710967034823207], [8.571428571428571, 0.7534867274396376], [8.775510204081632, 0.6046033165061543], [8.979591836734695, 0.43062587038273736], [9.183673469387756, 0.23877531564403087], [9.387755102040817, 0.03701440148506237], [9.591836734693878, -0.1662827938487564], [9.795918367346939, -0.3626784288265488], [10.0, -0.5440211108893699]]\");\n",
" console.log(line);\n",
" $.plot(\"#4ad544ff-a161-4493-ba2c-f99531e317bd\", [line]);\n",
" });\n",
" "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"x = np.linspace(0,10)\n",
"y = np.sin(x)\n",
"FlotPlot(x, np.sin(x))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.4.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}