{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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sfXpb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\nphy+Op7fwL/jxx5Kfzf+uLH2p/xfT/HH/9k=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image \n",
    "Image('../../../python_for_probability_statistics_and_machine_learning.jpg')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Python for Probability, Statistics, and Machine Learning](https://www.springer.com/fr/book/9783319307152)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "from __future__ import division\n",
    "%pylab inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.patches.Circle at 0xc13cfd0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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qlYfXM5kMYrEY61yofEYqJEVMVUria9VcXkp0hUgL+PWvf40HHngAQKX4zmWX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\nKaGEEorC/weqwevmCSKBZwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc13cf98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# uniformly in unit-cube\n",
    "from matplotlib.patches import Circle\n",
    "v=np.random.rand(1000,2)-1/2.\n",
    "fig,ax=subplots()\n",
    "ax.set_aspect(1)\n",
    "ax.scatter(v[:,0],v[:,1],color='gray',alpha=.3)\n",
    "ax.add_patch(Circle((0,0),0.5,alpha=.8,lw=3.,fill=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.353553390593\n"
     ]
    },
    {
     "data": {
      "image/png": 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K37E5uCbu+kzBN7YMntJGMpZ0JfBnwMMRcXiH148DrgV+ka36ZkR8dMaRmdnQ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xd1d67b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "siz = [2,3,5,10,20,50,100,500,1000]\n",
    "siz = siz[:6]\n",
    "print sqrt(v.shape[1])/2./2.\n",
    "\n",
    "fig,axs=subplots(3,2)\n",
    "fig.set_size_inches((8,5))\n",
    "for ax,k in zip(axs.flatten(),siz):\n",
    "    v=np.random.rand(5000,k)-1/2\n",
    "    ax.hist([np.linalg.norm(i) for i in v],color='gray',normed=True);\n",
    "    ax.vlines(0.5,0,ax.axis()[-1],lw=3)\n",
    "    ax.set_title('$d=%d$'%k,fontsize=20)\n",
    "fig.set_tight_layout(True)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}