02_plotting.ipynb

{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "X,Y Plots"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "d = np.linspace(1,10,200)\n",
      "I = np.exp(-d)\n",
      "plot(d,I)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 2,
       "text": [
        "[<matplotlib.lines.Line2D at 0x1079e2e50>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1079c03d0>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "d = np.linspace(1,10,200)\n",
      "I = np.exp(-d)\n",
      "plot(d,I)\n",
      "ylabel('I')\n",
      "xlabel('d')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "<matplotlib.text.Text at 0x1079cac10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEPCAYAAABcA4N7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhYiIRKRCISIiEalQiIhIRP8fF/wWTzfgOHEAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107e01ed0>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "d = np.linspace(1,10,200)\n",
      "I = np.exp(-d)\n",
      "plot(d,I)\n",
      "ylabel(r'$I= \\exp(-d)$')\n",
      "xlabel('d')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "<matplotlib.text.Text at 0x107e14790>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEPCAYAAABsj5JaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVq6Y6vYLNQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107e9db50>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "d = np.linspace(1,10,200)\n",
      "I = d**(-2)\n",
      "plot(d,I)\n",
      "ylabel(r'$I= 1 / d^2$')\n",
      "xlabel('d')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "<matplotlib.text.Text at 0x1079d4490>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEPCAYAAABRHfM8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107e95490>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "d = np.linspace(1,10,200)\n",
      "Iid2 = d**(-2)\n",
      "plot(d,Iid2)\n",
      "ylabel(r'$I$')\n",
      "Inex = np.exp(-d)\n",
      "plot(d,Inex)\n",
      "xlabel('d')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "<matplotlib.text.Text at 0x108241150>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEPCAYAAABGP2P1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108215090>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "d = np.linspace(1,10,200)\n",
      "Iid2 = d**(-2)\n",
      "plot(d,Iid2, label = r'$I = d^{-2}$')\n",
      "ylabel(r'$I$')\n",
      "Inex = np.exp(-d)\n",
      "plot(d,Inex, label = r'$I = \\exp(-d)$')\n",
      "xlabel('d')\n",
      "legend()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 7,
       "text": [
        "<matplotlib.legend.Legend at 0x1082df990>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEPCAYAAABGP2P1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiLiQMEgIiIOFAwiIuJAwSAiIg7+P4ZUeIm1e1oWAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107e0edd0>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "d = np.linspace(1,10,200)\n",
      "Iid2 = d**(-2)\n",
      "plot(d,Iid2, 'r-', label = r'$I = d^{-2}$')\n",
      "ylabel(r'$I$')\n",
      "Inex = np.exp(-d)\n",
      "plot(d,Inex, 'g--',label = r'$I = \\exp(-d)$')\n",
      "xlabel('d')\n",
      "legend()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 8,
       "text": [
        "<matplotlib.legend.Legend at 0x108691b50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEPCAYAAABGP2P1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEREHCgYREXGgYBAREQcKBhERcfD/Af41PCWGI1F2AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1082df190>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "d = np.linspace(1,10,200)\n",
      "Iid = d**(-1)\n",
      "plot(d,Iid, 'b-.', label = r'$I = d^{-1}$')\n",
      "Iid2 = d**(-2)\n",
      "plot(d,Iid2, 'r-', label = r'$I = d^{-2}$')\n",
      "ylabel(r'$I$')\n",
      "Inex = np.exp(-d)\n",
      "plot(d,Inex, 'g--',label = r'$I = \\exp(-d)$')\n",
      "xlabel('d')\n",
      "legend()\n",
      "title('Distance Decay')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "<matplotlib.text.Text at 0x10872a410>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEZCAYAAACTsIJzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10866a6d0>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Scatter Plot"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = np.arange(100)\n",
      "y = 0.5 + np.random.normal(size=(100,))\n",
      "scatter(x,y)\n",
      "xlabel('x')\n",
      "ylabel('y')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 10,
       "text": [
        "<matplotlib.text.Text at 0x108720590>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEPCAYAAACtCNj2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRDKWAhERyVgKREQkYykQEZHsL/VvjHG1c/R/AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108222dd0>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "scatter(x,y)\n",
      "vlines(x.mean(),y.min(),y.max())\n",
      "hlines(x.min(),x.max(),y.mean())"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 11,
       "text": [
        "<matplotlib.collections.LineCollection at 0x108b0ced0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAEACAYAAACnJV25AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1082ce8d0>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Distributions and Densities"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "\n",
      "x = np.random.multivariate_normal([100,70],[[2.,1.7],[1.7,2.]], (100))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "array([[ 100.33915465,   70.53552793],\n",
        "       [  99.70150829,   69.12624495],\n",
        "       [ 101.49443578,   70.89938877],\n",
        "       [  99.6828335 ,   69.47120666],\n",
        "       [  99.98951906,   69.93946309],\n",
        "       [ 103.16420528,   73.85410242],\n",
        "       [ 100.86438621,   70.85722302],\n",
        "       [ 100.44217658,   70.05388104],\n",
        "       [ 100.82033951,   71.18272457],\n",
        "       [  99.27732703,   68.41984873],\n",
        "       [  97.76049079,   69.30682805],\n",
        "       [ 102.1001478 ,   72.18092486],\n",
        "       [  98.7041018 ,   68.7819658 ],\n",
        "       [ 101.0523929 ,   71.44050513],\n",
        "       [  99.84316237,   71.06679112],\n",
        "       [  99.61950388,   70.31199507],\n",
        "       [  96.90066702,   68.2616696 ],\n",
        "       [  97.83939198,   67.69004507],\n",
        "       [ 100.47716356,   70.72036063],\n",
        "       [  99.00335642,   68.42354072],\n",
        "       [ 100.51716025,   70.05591856],\n",
        "       [ 101.46840195,   71.19984466],\n",
        "       [  99.62892303,   69.49177215],\n",
        "       [  99.00746061,   68.08531142],\n",
        "       [ 100.8367872 ,   70.6434873 ],\n",
        "       [ 101.80910996,   72.78175874],\n",
        "       [ 100.33409365,   70.59727589],\n",
        "       [ 101.27361801,   72.38116495],\n",
        "       [  99.11777922,   68.69820618],\n",
        "       [  99.17494234,   69.30397098],\n",
        "       [  98.81654093,   68.45524621],\n",
        "       [  99.33377435,   69.62097893],\n",
        "       [ 100.12805899,   70.90362459],\n",
        "       [ 100.36199065,   71.75947383],\n",
        "       [ 100.3450507 ,   70.246579  ],\n",
        "       [ 100.03308609,   69.93565436],\n",
        "       [  99.94428407,   68.99910455],\n",
        "       [ 100.60597619,   70.52636497],\n",
        "       [  99.72222126,   69.55900235],\n",
        "       [ 102.09777279,   72.95167163],\n",
        "       [  98.33165726,   67.38539637],\n",
        "       [ 101.89566152,   71.32499246],\n",
        "       [  99.258384  ,   68.62123837],\n",
        "       [  98.76270161,   68.97546096],\n",
        "       [ 100.23869399,   69.08128423],\n",
        "       [  99.50399357,   69.37324057],\n",
        "       [  97.53118021,   67.27822866],\n",
        "       [ 100.94836215,   69.87018667],\n",
        "       [  99.37876874,   69.41426375],\n",
        "       [ 101.32562233,   71.06015165],\n",
        "       [ 101.30067782,   70.43430622],\n",
        "       [ 100.39704563,   70.09047382],\n",
        "       [  99.66816775,   69.40436246],\n",
        "       [ 100.42572215,   70.98706293],\n",
        "       [ 101.89135687,   71.70961208],\n",
        "       [ 101.11314485,   69.79140108],\n",
        "       [  99.76620706,   70.09118798],\n",
        "       [  99.5493331 ,   69.13712466],\n",
        "       [ 100.62768201,   71.7997752 ],\n",
        "       [  98.18671392,   66.77506818],\n",
        "       [  97.97843547,   67.85337387],\n",
        "       [ 101.54449166,   71.56343309],\n",
        "       [  98.37112492,   68.70800839],\n",
        "       [  99.46113384,   68.63946187],\n",
        "       [  98.32166693,   68.7426948 ],\n",
        "       [ 101.62071953,   71.03737588],\n",
        "       [ 100.51553921,   70.61605413],\n",
        "       [  98.43510229,   68.34099269],\n",
        "       [ 100.82627108,   69.73269792],\n",
        "       [ 101.94007093,   70.91371689],\n",
        "       [ 101.2502637 ,   69.97214803],\n",
        "       [  98.79325518,   67.98666935],\n",
        "       [  96.86916655,   67.11391204],\n",
        "       [  98.60156419,   69.72920241],\n",
        "       [ 102.26278088,   70.78441916],\n",
        "       [ 100.14433111,   69.87549495],\n",
        "       [ 101.62273412,   71.38973083],\n",
        "       [  99.95545499,   70.69814311],\n",
        "       [  99.91183056,   70.23039232],\n",
        "       [ 103.34997528,   72.58663123],\n",
        "       [  98.92898178,   69.05203483],\n",
        "       [ 100.58576402,   72.38749127],\n",
        "       [ 101.90072356,   71.60923876],\n",
        "       [ 101.21978644,   70.56656961],\n",
        "       [ 101.3273061 ,   71.36589839],\n",
        "       [ 101.13978872,   71.12768647],\n",
        "       [ 100.30324487,   70.69667472],\n",
        "       [ 101.55648521,   71.61954981],\n",
        "       [  99.57435809,   68.73474708],\n",
        "       [  98.94382966,   68.92337783],\n",
        "       [ 100.39730201,   70.67746712],\n",
        "       [ 100.60413088,   71.2689107 ],\n",
        "       [ 102.99626504,   73.36669534],\n",
        "       [  99.66247059,   70.53887885],\n",
        "       [  98.96690918,   69.53648809],\n",
        "       [ 100.13435857,   70.95876825],\n",
        "       [ 101.19720298,   70.11071153],\n",
        "       [ 100.2426393 ,   70.00783544],\n",
        "       [ 100.22557822,   70.24883541],\n",
        "       [  97.53444299,   68.63001507]])"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 14,
       "text": [
        "[<matplotlib.lines.Line2D at 0x108b3ee10>,\n",
        " <matplotlib.lines.Line2D at 0x108ba10d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEIKB39vek5mdscTgAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107eb2750>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(x[:,0], x[:,1], \"o\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 15,
       "text": [
        "[<matplotlib.lines.Line2D at 0x108bd2ad0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAEACAYAAABMEua6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkTkQ/4fq+K/akALXc0AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108b2cd10>"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x0h = hist(x[:,0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAEACAYAAABMEua6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAE99JREFUeJzt3X9M1Pfhx/HXiWydBeqPzQPFDYYiP44fN5XabKxnKqzN\nJtPaWG2X2EL/cekWp6muWZadc6u4rGuozVKzrBvpMjcbKzWZY/1hD9omG/otLs7Wr7aFCQ6oLbBC\ndUHs+/uH876l4nHefbgfb5+P5JLzc/B+vzi5lx/f97nPx2WMMQIAWGFKvAMAAJxDqQOARSh1ALAI\npQ4AFqHUAcAilDoAWCRkqXd1dWnZsmUqLi6Wx+PR448/Lkny+/3Kzs6W1+uV1+tVc3NzTMICAEJz\nhTpOvbe3V729vSovL9fw8LAWLVqkpqYm7d27V+np6dq0aVMsswIAJjA11IOZmZnKzMyUJKWlpamw\nsFBnzpyRJPGZJQBIPGGvqXd2dqq9vV1Lly6VJO3atUtlZWWqq6vT4ODgpAUEAIQvrFIfHh7WXXfd\npYaGBqWlpWnDhg3q6OjQ0aNHlZWVpc2bN092TgBAOMwERkZGTHV1tXnsscfGfbyjo8N4PJ4rtufl\n5RlJ3Lhx48btGm55eXkT1XJIIffUjTGqq6tTUVGRNm7cGNze09MTvL9//36VlJRc8b1vv/22jDEJ\nf/vRj34U9wzkJCc5yXj59vbbb4eq5QmFfKP0tdde0+9+9zuVlpbK6/VKkh555BHt2bNHR48elcvl\nUm5urnbv3h1VCACAM0KW+le+8hV99NFHV2y/4447Ji0QACBy1/0nSn0+X7wjhIWcziKns5IhZzJk\ndELIDx9FNbDLpUkaGgCsFW13Xvd76gBgE0odACxCqQOARSh1ALAIpQ4AFqHUAcAilDoAWIRSBwCL\nUOoAYBFKHQAsQqkDgEUodQCwCKUOABah1AHAIpQ6AFiEUgcAi1DqAGARSh0ALEKpA4BFKHUAsAil\nDkjKyJgpl8sVs1tGxsx4/8iwlMtEc9nqUANHeUVsIJZcLpekWP6+8vrA+KLtTvbUAcAilDoAWIRS\nBwCLUOoAYBFKHQAsQqkDgEUodQCwCKUOABah1AHAIpQ6AFiEUgcAi1DqAGCRkKXe1dWlZcuWqbi4\nWB6PR48//rgkqb+/X1VVVcrPz1d1dbUGBwdjEhYAEFrIszT29vaqt7dX5eXlGh4e1qJFi9TU1KTf\n/OY3+uxnP6stW7Zo586dGhgYUH19/diBOUsjkghnaUSimNSzNGZmZqq8vFySlJaWpsLCQp05c0YH\nDhzQ+vXrJUnr169XU1NTxAEAAM4Je029s7NT7e3tuvnmm9XX1ye32y1Jcrvd6uvrm7SAAIDwTQ3n\ni4aHh7V69Wo1NDQoPT19zGOXr+QyHr/fH7zv8/nk8/kiDgoANgoEAgoEAo6NN+GVjy5cuKBvfOMb\nuuOOO7Rx40ZJUkFBgQKBgDIzM9XT06Nly5bpxIkTYwdmTR1JhDV1JIpJXVM3xqiurk5FRUXBQpek\nmpoaNTY2SpIaGxu1cuXKiAMAAJwTck/91Vdf1Ve/+lWVlpYGl1h27NihiooKrVmzRqdPn1ZOTo72\n7t2r6dOnjx2YPXUkEfbUkSii7U4uPA2IUkfi4MLTAIAgSh0ALEKpA4BFKHUAsAilDgAWodQBwCKU\nOgBYhFIHAItQ6gBgEUodACxCqQOARSh1ALAIpQ4AFqHUAcAilDoAWIRSBwCLUOoAYBFKHQAsQqkD\ngEUodQCwCKUOABah1AHAIlPjHQC4moyMmRoaGoh3DCCpuIwxZlIGdrk0SUPjOuFyuSTF6ncolnNd\nmo/XB8YTbXey/AIAFqHUAcAilDoAWIRSBwCLUOoAYBFKHQAsQqkDgEUodQCwCKUOABah1AHAIpQ6\nAFhkwlKvra2V2+1WSUlJcJvf71d2dra8Xq+8Xq+am5snNSQAIDwTlvr9999/RWm7XC5t2rRJ7e3t\nam9v1+233z5pAQEA4Zuw1CsrKzVjxowrtnOGOQBIPBGvqe/atUtlZWWqq6vT4OCgk5kAABGKqNQ3\nbNigjo4OHT16VFlZWdq8ebPTuQAAEYjoykezZ88O3n/ggQe0YsWKcb/O7/cH7/t8Pvl8vkimAyw0\n9b8XAZl86ekz9MEH/TGZC9cuEAgoEAg4Nl5YVz7q7OzUihUrdOzYMUlST0+PsrKyJEmPPfaYDh8+\nrN///vdjB+bKR4iS7Vc+iuXPxmsxeUTbnRPuqa9bt04tLS167733NG/ePG3btk2BQEBHjx6Vy+VS\nbm6udu/eHXEAAIBzuEYpEhZ76s7NxWsxeXCNUgBAEKUOABah1AHAIpQ6AFiEUgcAi1DqAGARSh0A\nLEKpA4BFKHUAsAilDgAWodQBwCKUOgBYhFIHAItQ6gBgkYiufITrV0bGTA0NDcQ7BoCr4HzquCb2\nnuOc86kjMXA+dQBAEKUOABah1AHAIpQ6AFiEUgcAi1DqAGARSh0ALEKpA4BFKHUAsAilDgAWodQB\nwCKUOgBYhFIHAItQ6gBgEUodACxCqQOARbjyEWC9qf+9uMnkS0+foQ8+6I/JXBgfVz7CNeHKR8k4\nH1dZSiZc+QgAEESpA4BFJiz12tpaud1ulZSUBLf19/erqqpK+fn5qq6u1uDg4KSGBACEZ8JSv//+\n+9Xc3DxmW319vaqqqnTy5Enddtttqq+vn7SAAIDwhfVGaWdnp1asWKFjx45JkgoKCtTS0iK3263e\n3l75fD6dOHFi7MC8UWol3ihNxvl4ozSZxOWN0r6+PrndbkmS2+1WX19fxAEAAM6J+o1Sl8sVs2Ng\nAQChRfTho8vLLpmZmerp6dHs2bPH/Tq/3x+87/P55PP5IpkOAKwVCAQUCAQcGy+iNfUtW7Zo1qxZ\n2rp1q+rr6zU4OHjFm6WsqduJNfVknI819WQSbXdOWOrr1q1TS0uL3nvvPbndbv34xz/WN7/5Ta1Z\ns0anT59WTk6O9u7dq+nTpzsaDImJUk/G+Sj1ZDLppR7xwJS6lSj1ZJyPUk8mnCYAABBEqQOARSh1\nALAIpQ4AFuEiGRbIyJipoaGBeMcAkAA4+sUCHJGSbHPFej6OfkkmHP0CAAii1AHAIpQ6AFiEUgcA\ni1DqAGARSh0ALEKpA4BFKHUAsAilDgAWodQBwCKUOgBYhFIHAItQ6gBgEUodACxCqQOARSh1ALAI\npQ4AFqHUAcAilDoAWIRSBwCLUOoAYBFKHQAsQqkDgEUodQCwCKUOABah1AHAIpQ6AFiEUgcAi1Dq\nAGARSh0ALDI1mm/OyclRRkaGUlJSlJqaqra2NqdyAQAiEFWpu1wuBQIBzZw506k8AIAoRL38Yoxx\nIgcAwAFRlbrL5dLy5cu1ePFi/epXv3IqEwAgQlEtv7z22mvKysrS2bNnVVVVpYKCAlVWVgYf9/v9\nwfs+n08+ny+a6ZJKRsZMDQ0NxDsGgAQXCAQUCAQcG89lHFo/2bZtm9LS0rR58+ZLA7tc1/XSjMvl\nkhSrn5+5kmuuWM8X27mu59e9E6LtzoiXX86dO6ehoSFJ0ocffqjnn39eJSUlEQcBAEQv4uWXvr4+\nrVq1SpI0Ojqqe++9V9XV1Y4FAwBcO8eWX64YmOUX2frfa+ZKtvlYfkkmcVt+AQAkHkodACxCqQOA\nRSh1ALAIpQ4AFqHUAcAilDoAWIRSBwCLUOoAYBFKHQAsQqkDgEUodQCwCKUOABaJ6spHADDW1P+e\noTQWUiVdiMlM6ekz9MEH/TGZK1qUOgAHjcrGUwoPDcXqH6rosfwCABah1AHAIpQ6AFiEUgcAi1Dq\nAGARSh0ALHLdHNLY1HRAL74YiHcMAJhU102pP/FEo156KU1S2aTPlZLy3KTPAQDjuW5K/ZIaSasn\nfZYpU7p18WLrpM8DAJ/EmjoAWIRSBwCLUOoAYBFKHQAsQqkDgEUodQCwCKUOABah1AHAIpQ6AFiE\nUgcAi1DqAGCRiEu9ublZBQUFWrBggXbu3OlkJgBAhCIq9YsXL+rBBx9Uc3Oz3njjDe3Zs0dvvvmm\n09liJBDvAGEKxDtAmALxDhCmQLwDhCkQ7wBhCsQ7QBgC8Q4QExGVeltbm+bPn6+cnBylpqZq7dq1\neu65ZD3dbCDeAcIUiHeAMAXiHSBMgXgHCFMg3gHCFIh3gDAE4h0gJiIq9TNnzmjevHnBP2dnZ+vM\nmTOOhQIARCai86m7XC6nc0y61NQpmjZth6ZO/e2Y7f/5z//qhhv+x9G5RkaO68IFR4cEgLBEVOpz\n585VV1dX8M9dXV3Kzs4e8zV5eXlJU/4jI6cmaWSnf/5tMZwrlInmCpXT6bmi8cmcsf59DXc+J57P\nWPxsl3Mm0u/iJ0X+XMaqz/Ly8qL6fpcxxlzrN42OjmrhwoV66aWXNGfOHFVUVGjPnj0qLCyMKgwA\nIDoR7alPnTpVTzzxhL72ta/p4sWLqquro9ABIAFEtKcOAEhMjn2itKGhQSUlJfJ4PGpoaAhu37Vr\nlwoLC+XxeLR161anpovYeDnvvvtueb1eeb1e5ebmyuv1JlzGtrY2VVRUyOv1asmSJTp8+HBcM0rj\n5/z73/+uW265RaWlpaqpqdHQ0FDMc9XW1srtdqukpCS4rb+/X1VVVcrPz1d1dbUGBweDj+3YsUML\nFixQQUGBnn/++YTM2d/fr2XLlik9PV3f+c53YpbxWnO+8MILWrx4sUpLS7V48WK9/PLLCZmzra0t\n+JovLS3VH//4x4TMednp06eVlpamRx99dOIJjAOOHTtmPB6POX/+vBkdHTXLly83b731ljl06JBZ\nvny5GRkZMcYY8+677zoxneM5P27z5s1m+/btcUp49Yy33nqraW5uNsYYc/DgQePz+eKWMVTOxYsX\nm9bWVmOMMU899ZT54Q9/GPNsra2t5vXXXzcejye47aGHHjI7d+40xhhTX19vtm7daowx5vjx46as\nrMyMjIyYjo4Ok5eXZy5evJhwOT/88EPz6quvmieffNI8+OCDMckXSc729nbT09NjjDHmH//4h5k7\nd25C5jx37lzw77mnp8fMmjXLjI6OJlzOy1avXm3WrFljfv7zn084viN76idOnNDNN9+sG264QSkp\nKbr11lv17LPP6sknn9TDDz+s1NRUSdLnPvc5J6ZzPOdlxhjt3btX69atS7iMc+bM0b///W9J0uDg\noObOnRu3jFfLuW/fPp06dUqVlZWSpOXLl2vfvn0xz1ZZWakZM2aM2XbgwAGtX79ekrR+/Xo1NTVJ\nkp577jmtW7dOqampysnJ0fz589XW1pZwOadNm6Yvf/nL+vSnPx2TbJHmLC8vV2ZmpiSpqKhI58+f\n14UYHd97LTk/85nPaMqUS/V3/vx53XTTTUpJSUm4nJLU1NSkL37xiyoqKgprfEdK3ePx6JVXXlF/\nf7/OnTungwcPqqurSydPnlRra6uWLl0qn8+nI0eOODGdYzn/9Kc/qbu7O/j4K6+8IrfbHfUhRZOR\nsb6+Xps2bdLnP/95PfTQQ9qxY0fcMo6X8+DBg+ru7pbH4wl+uviZZ54Zc+hrPPX19cntdkuS3G63\n+vr6JEn/+te/xhyOG+8P0l0t52WJcpjwRDklad++fVq0aFFwpy4eQuVsa2tTcXGxiouL9Ytf/CJe\nESVdPefw8LB+9rOfye/3hz1WREe/fFJBQYG2bt2q6upq3XjjjSovL1dKSopGR0c1MDCgv/71rzp8\n+LDWrFmjd955x4kpHcnp9XqD/1pL0p49e3TPPffELZ909Yx1dXXatWuXVq1apWeeeUa1tbV64YUX\nEibn5b/zX//61/rud7+r7du3q6amRp/61KfilvFqXC5XyHJMlOKcKGeiGC/n8ePH9f3vfz+uv6Of\n9MmcFRUVOn78uE6cOKHbb79dPp9PN910UxwTXvLxnH6/X9/73vc0bdo0mTCPaXHsjdLa2lodOXJE\nLS0tmjFjhvLz85Wdna0777xTkrRkyRJNmTJF77//vlNTRp1z+vTpWrhwoaRLx97v379fd999d1zz\nSeM/l3/729+0atUqSdJdd90VsyWCUMZ7LhcuXKi//OUvOnLkiNauXRvX//V8nNvtVm9vrySpp6dH\ns2fPlnTlB+m6u7vjurR1tZyJJlTO7u5u3XnnnXr66aeVm5sbr4iSwns+CwoKlJeXp7feeivW8YKu\nlrOtrU1btmxRbm6uGhoa9Mgjj+iXv/xlyLEcK/V3331X0qV3aZ999lnde++9WrlypQ4dOiRJOnny\npEZGRjRr1iynpozIx3Pu378/uGf+4osvqrCwUHPmzIlnPElXPpf33HOP5s+fr5aWFknSoUOHlJ+f\nH8+IksZ/Ls+ePStJ+uijj/STn/xEGzZsiGfEoJqaGjU2NkqSGhsbtXLlyuD2P/zhDxoZGVFHR4dO\nnTqlioqKhMt5Wbh7a5PtajkHBwf19a9/XTt37tQtt9wSz4iSrp6zs7NTo6OjkqR//vOfOnXqlBYs\nWJBwOVtbW9XR0aGOjg5t3LhRP/jBD/Ttb3879GBOvaNbWVlpioqKTFlZmTl06JAxxpiRkRHzrW99\ny3g8HvOlL33JvPzyy05NF7HxchpjzH333Wd2794dx2T/b7yMhw8fNhUVFaasrMwsXbrUvP7663FO\nOX7OhoYGk5+fb/Lz883DDz8cl1xr1641WVlZJjU11WRnZ5unnnrKvP/+++a2224zCxYsMFVVVWZg\nYCD49T/96U9NXl6eWbhwYfAIo0TM+YUvfMHMnDnTpKWlmXnz5pk333wz4XJu377d3Hjjjaa8vDx4\nO3v2bMLlfPrpp01xcbEpLy83S5YsMX/+859jkvFac36c3+83jz766ITj8+EjALAIl7MDAItQ6gBg\nEUodACxCqQOARSh1ALAIpQ4AFqHUAcAilDoAWOT/AP/q+qy3ewAMAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108e68850>"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x1h = hist(x[:,1])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEACAYAAACuzv3DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAEfdJREFUeJzt3X1sU3X/xvGrMhLuhCFP0okDyw/YGBts4ymoEEpgAzEg\nAhoQn2C3iSRGjQTBKAhKZMRowrz/IQbNEiOIBpl/mGkAC8REh6KIEQEJCMFtAmMwQAXG5/cHUjf2\nVLqup1/2fiUkXbuez9VCrx2+O6f1mZkJAOCsW7wOAABoHYocABxHkQOA4yhyAHAcRQ4AjqPIAcBx\nzRb5sWPHNH78eGVmZiorK0tFRUWSpKqqKuXl5SktLU35+fmqrq6OS1gAQEO+5o4jr6ioUEVFhXJy\ncnTu3DkNHz5cmzdv1nvvvaeePXvqhRde0OrVq3X69GkVFhbGMzcA4B/N7pGnpKQoJydHktS5c2dl\nZGTo+PHj+vTTT/X4449Lkh5//HFt3ry57ZMCABrV7B55XUeOHNG4ceP0008/qW/fvjp9+rQkyczU\nvXv38NcAgPiK6Jed586d08yZM7VmzRolJyfXu83n88nn87VJOABAy5Ja+oZLly5p5syZevTRRzV9\n+nRJkt/vV0VFhVJSUlReXq5evXo1uN+AAQN06NCh2CcGgJtY//799euvv97QfZrdIzczFRQUaPDg\nwXruuefC10+bNk3FxcWSpOLi4nDB13Xo0CGZWcL/eeWVVzzPQE5ykpOM1/5EswPc7B75V199pfff\nf19Dhw5Vbm6uJGnVqlVasmSJHnroIa1bt06BQEAbN2684cEAgNhotsjHjBmjK1euNHrbli1b2iQQ\nAODGtPszO4PBoNcRIkLO2CJnbLmQ04WM0Yr48MMb3rDPpzbaNADctKLpzna/Rw4ArqPIAcBxFDkA\nOI4iBwDHUeQA4LgWT9EHEk2XLt1VU+PFm7R1lHQp7lOTk7vp7NmquM+FOzj8EM65+iZtXvzb8m4u\nr6X2g8MPAaAdosgBwHEUOQA4jiIHAMdR5ADgOIocABxHkQOA4yhyAHAcRQ4AjqPIAcBxFDkAOI4i\nBwDHUeQA4DiKHAAcR5EDgOMocgBwHEUOAI6jyAHAcRQ5ADiOIgcAx1HkAOA4ihwAHEeRA4DjKHIA\ncBxFDgCOo8gBwHEUOQA4jiIHAMdR5ADgOIocABxHkQOA45K8DgC3denSXTU1p72OAbRrPjOzNtmw\nz6c22jQSiM/nkxTvv2cvZno7l9dS+xFNd7K0AgCOo8gBwHEUOQA4jiIHAMdR5ADguBaLfP78+fL7\n/RoyZEj4uuXLlys1NVW5ubnKzc1VaWlpm4YEADStxSKfN29eg6L2+Xx6/vnn9f333+v777/X5MmT\n2ywgAKB5LRb52LFj1a1btwbXc1wrACSGqNfI3377bWVnZ6ugoEDV1dWxzAQAuAFRnaK/YMECLVu2\nTJK0dOlSLVy4UOvWrWvwfcuXLw9fDgaDCgaDUYUE2rekf86gjZ/k5G46e7YqrjPbq1AopFAo1Kpt\nRHSK/pEjRzR16lTt3bs34ts4Rb994BT9m3Uur1+vxO0U/fLy8vDlTz75pN4RLQCA+GpxaWXOnDna\nvn27Tp48qT59+mjFihUKhUL64Ycf5PP51K9fP61duzYeWQEAjeDdD9EqLK3crHN5/XqFdz8EgHaI\nIgcAx1HkAOA4ihwAHEeRA4DjKHIAcBxFDgCOo8gBwHEUOQA4jiIHAMdR5ADgOIocABxHkQOA4yhy\nAHAcRQ4AjqPIAcBxFDkAOI4iBwDHtfiZnXBDly7dVVNz2usYADzAZ3beJLz57EzJq8+TbD+P1au5\nvH69wmd2AkA7RJEDgOMocgBwHEUOAI6jyAHAcRQ5ADiOIgcAx1HkAOA4ihwAHEeRA4DjKHIAcBxF\nDgCOo8gBwHEUOQA4jiIHAMdR5ADgOIocABxHkQOA4yhyAHAcRQ4AjqPIAcBxFDkAOI4iBwDHUeQA\n4DiKHAAcR5EDgOMocgBwXItFPn/+fPn9fg0ZMiR8XVVVlfLy8pSWlqb8/HxVV1e3aUgAQNNaLPJ5\n8+aptLS03nWFhYXKy8vTgQMHNGHCBBUWFrZZQABA83xmZi1905EjRzR16lTt3btXkjRo0CBt375d\nfr9fFRUVCgaD+uWXX+pv2OdTBJtGjPh8PklePN9ezG1Pj9Wrubx+vRJNd0a1Rl5ZWSm/3y9J8vv9\nqqysjGYzAIAYSGrtBnw+3z97gw0tX748fDkYDCoYDLZ2HADcVEKhkEKhUKu2EfXSSigUUkpKisrL\nyzV+/HiWVjzG0gpzYz2T16834ra0Mm3aNBUXF0uSiouLNX369Gg2AwCIgRb3yOfMmaPt27fr5MmT\n8vv9evXVV3X//ffroYce0tGjRxUIBLRx40Z17dq1/obZI48r9siZG+uZvH69EU13RrS0Eq8wiB5F\nztxYz+T16424La0AABIHRQ4AjqPIAcBxFDkAOI4iBwDHUeQA4DiKHAAcR5EDgOMocgBwHEUOAI6j\nyAHAcRQ5ADiOIgcAx1HkAOA4ihwAHEeRA4DjKHIAcBxFDgCOo8gBwHEUOQA4jiIHAMdR5ADgOIoc\nABxHkQOA4yhyAHAcRQ4AjqPIAcBxFDkAOI4iBwDHUeQA4DiKHAAcR5EDgOMocgBwHEUOAI6jyAHA\ncRQ5ADiOIgcAx1HkAOA4ihwAHEeRA4DjKHIAcBxFDgCOo8gBwHEUOQA4jiIHAMdR5ADgOIocAByX\n1Jo7BwIBdenSRR06dFDHjh1VVlYWq1wAgAi1qsh9Pp9CoZC6d+8eqzwAgBvU6qUVM4tFDgBAlFpV\n5D6fTxMnTtSIESP0zjvvxCoTAOAGtGpp5auvvtLtt9+uEydOKC8vT4MGDdLYsWPDty9fvjx8ORgM\nKhgMtmYcgLhJks/ni/vU5ORuOnu2Ku5zvRQKhRQKhVq1DZ/FaG1kxYoV6ty5sxYuXHh1wz4fyy5x\ndPVF58Xz7cXc9vRYvZrr3WNt770RTXdGvbRy4cIF1dTUSJLOnz+vL774QkOGDIl2cwCAKEW9tFJZ\nWakHHnhAknT58mXNnTtX+fn5MQsGAIhMzJZWGmyYpZW4YmmFue7PvDq3vfdGXJdWAACJgSIHAMdR\n5ADgOIocABxHkQOA41p1ZmciO3jwoHbv3h33uV27dtWkSZPiPhdA+3XTHn44d+5/tWnTHnXs+H9x\nnVtTs1HJyd1UU3M6rnOv4tA45ro88+pcDj+88efgpt0jr601/fXXU/rrr4K4zvX5Pv6nxL144QFo\nj1gjBwDHUeQA4DiKHAAcR5EDgOMocgBwHEUOAI6jyAHAcRQ5ADiOIgcAx920Z3YCcFHSP592FV/J\nyd109mxV3OfGCkUOIIFclhfv8VJT4/ZbXLC0AgCOo8gBwHEUOQA4jiIHAMdR5ADgOIocABxHkQOA\n4yhyAHAcRQ4AjuPMTgDw4K0BYvm2ABQ5AHjw1gCxfFsAllYAwHEUOQA4jiIHAMdR5ADgOIocABxH\nkQOA4yhyAHAcRQ4AjqPIAcBxFDkAOI4iBwDHUeQA4DiKHAAcR5EDgOMocgBwHEUOAI6LushLS0s1\naNAgDRw4UKtXr45lJgDADYiqyGtra/X000+rtLRUP//8s9avX699+/bFOluchLwOEKGQ1wEiFPI6\nQIRCXgeIUMjrABEKeR0gAiGvA7SZqIq8rKxMAwYMUCAQUMeOHTV79myVlJTEOluchLwOEKGQ1wEi\nFPI6QIRCXgeIUMjrABEKeR0gAiGvA7SZqIr8+PHj6tOnT/jr1NRUHT9+PGahAACRi+rDl+P9adPR\nSEq6Rf/5T5E6dtzc7Pf99dd+der0Xczm1tTE9wNcASCqIr/jjjt07Nix8NfHjh1Tampqve/p379/\nQhT+n3/+2OL3XLx4sA0mt8VjX+HBzEhcP7elnG0xMxrR5EyU5zgRZ8bq770tH2tzGeP/HDfWkf37\n97/x7ZjZDe9CXr58Wenp6dq6dat69+6tUaNGaf369crIyLjhAACA1olqjzwpKUn/+9//NGnSJNXW\n1qqgoIASBwCPRLVHDgBIHDE7s7O6ulqzZs1SRkaGBg8erG+++UaS9PbbbysjI0NZWVlavHhxrMZF\n7fqcX3/9tWbPnq3c3Fzl5uaqX79+ys3N9TpmoznLyso0cuRI5ebmauTIkdq1a1fCZdyzZ4/uuusu\nDR06VNOmTVNNTY2nGffv3x/+u83NzdWtt96qoqIiVVVVKS8vT2lpacrPz1d1dXXC5VyzZo0+/vhj\nZWZmqkOHDtq9e7enGZvLuWjRImVkZCg7O1szZszQmTNnEjLnsmXLlJ2drZycHE2YMKHe7/oSJWdR\nUVH49jfffFO33HKLqqqqmt+Qxchjjz1m69atMzOzS5cuWXV1tW3bts0mTpxoFy9eNDOzP/74I1bj\notZYzroWLlxor732mhfR6mks57hx46y0tNTMzD777DMLBoNeRmw044gRI2zHjh1mZvbuu+/a0qVL\nvYxYT21traWkpNjRo0dt0aJFtnr1ajMzKywstMWLF3uc7l91c+7bt8/2799vwWDQvvvuO6+j1VM3\n5xdffGG1tbVmZrZ48eKEfT7Pnj0bvr6oqMgKCgo8TFZf3ZxmZkePHrVJkyZZIBCwU6dONXvfmBR5\ndXW19evXr8H1Dz74oG3dujUWI2KiqZzXXLlyxfr06WO//vprHFM11FTO2bNn24cffmhmZh988IHN\nnTs33tHCmsp46623hi8fPXrUBg8eHM9Yzfr8889tzJgxZmaWnp5uFRUVZmZWXl5u6enpXkar5/PP\nP7d77rmn3nWJWOSN5TQz27Rpk6f/Nq/XVM7XX389oX7gXJ9z1qxZtmfPnoiKPCZLK4cPH9Ztt92m\nefPmadiwYXryySd1/vx5HTx4UDt27NDo0aMVDAb17bffxmJcTHNeuHAhfPvOnTvl9/ujOvwnlprK\nWVhYqIULF6pv375atGiRVq1alVAZz58/r8zMzPBZvh999JHn/3Wta8OGDZozZ44kqbKyUn6/X5Lk\n9/tVWVnpZbR6NmzYoIcfftjrGC1qKue7776rKVOmeJCocdfnfOmll9S3b18VFxdryZIlHiarr27O\nkpISpaamaujQoZHdORY/SXbt2mVJSUlWVlZmZmbPPvusvfzyy5aVlWXPPPOMmZmVlZU1uzccD43l\nrPtf/6eeesreeustr+KFNfV8TpgwwTZt2mRmZhs3brSJEycmVMalS5faL7/8Yvn5+TZ8+HBbsWKF\n9ejRw7OMdf3999/Ws2fP8PJe165d693erVs3L2I1cH3OaxJtj7ypnCtXrrQZM2Z4lKqhpnKama1a\ntcqeeOIJD1I1VDfn+fPnbdSoUXbmzBkzMwsEAnby5Mlm7x+TIi8vL7dAIBD+eufOnXbffffZvffe\na6FQKHx9//79WwzUlprKaXZ1jdfv99vx48e9ihfWWM4pU6ZYcnJy+LorV65Yly5dvIhnZs0/l9fs\n37/fRo0aFe9ojdq8ebNNmjQp/HV6erqVl5ebmdnvv/+eMEsr1+e8JtGKvLGc7733nt199932559/\nepSqoaaeTzOz3377zTIzM+OcqHF1c/7444/Wq1cvCwQCFggELCkpye68806rrKxs8v4xWVpJSUlR\nnz59dODAAUnSli1blJmZqfvvv1/btm2TJB04cEAXL15Ujx49YjEypjmvXc7IyFDv3r09y3dNUzkH\nDhyo7du3S5K2bdumtLS0hMt44sQJSdKVK1e0cuVKLViwwLOMda1fvz68rCJJ06ZNU3FxsSSpuLhY\n06dP9ypaPdfnrMsS6Ejh63OWlpbqjTfeUElJiTp16uRhsvquz3nw4L9ncZeUlCTEEWpS/ZxDhgxR\nZWWlDh8+rMOHDys1NVW7d+9Wr169mt5ArH6i/PDDDzZixAgbOnSoPfDAA1ZdXW0XL160Rx55xLKy\nsmzYsGH25ZdfxmpcTHOamT3xxBO2du1aj9P9q7Gcu3btslGjRll2draNHj3adu/enXAZ16xZY2lp\naZaWlmYvvviip/muOXfunPXo0aPeEQunTp2yCRMm2MCBAy0vL89Onz7tYcKrGsu5adMmS01NtU6d\nOpnf77fJkyd7mPCqxnIOGDDA+vbtazk5OZaTk2MLFizwMOFVjeWcOXOmZWVlWXZ2ts2YMaPZvdx4\naSxnXf369Wvxl52cEAQAjuOj3gDAcRQ5ADiOIgcAx1HkAOA4ihwAHEeRA4DjKHIAcBxFDgCO+3/9\nl/sjG6nKWQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108ba6290>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "n,bins,bars = hist(x[:,1])\n",
      "\n",
      "y = normpdf(bins, mean(x[:,1]), std(x[:,1]))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEACAYAAACuzv3DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAEfdJREFUeJzt3X1sU3X/xvGrMhLuhCFP0okDyw/YGBts4ymoEEpgAzEg\nAhoQn2C3iSRGjQTBKAhKZMRowrz/IQbNEiOIBpl/mGkAC8REh6KIEQEJCMFtAmMwQAXG5/cHUjf2\nVLqup1/2fiUkXbuez9VCrx2+O6f1mZkJAOCsW7wOAABoHYocABxHkQOA4yhyAHAcRQ4AjqPIAcBx\nzRb5sWPHNH78eGVmZiorK0tFRUWSpKqqKuXl5SktLU35+fmqrq6OS1gAQEO+5o4jr6ioUEVFhXJy\ncnTu3DkNHz5cmzdv1nvvvaeePXvqhRde0OrVq3X69GkVFhbGMzcA4B/N7pGnpKQoJydHktS5c2dl\nZGTo+PHj+vTTT/X4449Lkh5//HFt3ry57ZMCABrV7B55XUeOHNG4ceP0008/qW/fvjp9+rQkyczU\nvXv38NcAgPiK6Jed586d08yZM7VmzRolJyfXu83n88nn87VJOABAy5Ja+oZLly5p5syZevTRRzV9\n+nRJkt/vV0VFhVJSUlReXq5evXo1uN+AAQN06NCh2CcGgJtY//799euvv97QfZrdIzczFRQUaPDg\nwXruuefC10+bNk3FxcWSpOLi4nDB13Xo0CGZWcL/eeWVVzzPQE5ykpOM1/5EswPc7B75V199pfff\nf19Dhw5Vbm6uJGnVqlVasmSJHnroIa1bt06BQEAbN2684cEAgNhotsjHjBmjK1euNHrbli1b2iQQ\nAODGtPszO4PBoNcRIkLO2CJnbLmQ04WM0Yr48MMb3rDPpzbaNADctKLpzna/Rw4ArqPIAcBxFDkA\nOI4iBwDHUeQA4LgWT9EHEk2XLt1VU+PFm7R1lHQp7lOTk7vp7NmquM+FOzj8EM65+iZtXvzb8m4u\nr6X2g8MPAaAdosgBwHEUOQA4jiIHAMdR5ADgOIocABxHkQOA4yhyAHAcRQ4AjqPIAcBxFDkAOI4i\nBwDHUeQA4DiKHAAcR5EDgOMocgBwHEUOAI6jyAHAcRQ5ADiOIgcAx1HkAOA4ihwAHEeRA4DjKHIA\ncBxFDgCOo8gBwHEUOQA4jiIHAMdR5ADgOIocABxHkQOA45K8DgC3denSXTU1p72OAbRrPjOzNtmw\nz6c22jQSiM/nkxTvv2cvZno7l9dS+xFNd7K0AgCOo8gBwHEUOQA4jiIHAMdR5ADguBaLfP78+fL7\n/RoyZEj4uuXLlys1NVW5ubnKzc1VaWlpm4YEADStxSKfN29eg6L2+Xx6/vnn9f333+v777/X5MmT\n2ywgAKB5LRb52LFj1a1btwbXc1wrACSGqNfI3377bWVnZ6ugoEDV1dWxzAQAuAFRnaK/YMECLVu2\nTJK0dOlSLVy4UOvWrWvwfcuXLw9fDgaDCgaDUYUE2rekf86gjZ/k5G46e7YqrjPbq1AopFAo1Kpt\nRHSK/pEjRzR16lTt3bs34ts4Rb994BT9m3Uur1+vxO0U/fLy8vDlTz75pN4RLQCA+GpxaWXOnDna\nvn27Tp48qT59+mjFihUKhUL64Ycf5PP51K9fP61duzYeWQEAjeDdD9EqLK3crHN5/XqFdz8EgHaI\nIgcAx1HkAOA4ihwAHEeRA4DjKHIAcBxFDgCOo8gBwHEUOQA4jiIHAMdR5ADgOIocABxHkQOA4yhy\nAHAcRQ4AjqPIAcBxFDkAOI4iBwDHtfiZnXBDly7dVVNz2usYADzAZ3beJLz57EzJq8+TbD+P1au5\nvH69wmd2AkA7RJEDgOMocgBwHEUOAI6jyAHAcRQ5ADiOIgcAx1HkAOA4ihwAHEeRA4DjKHIAcBxF\nDgCOo8gBwHEUOQA4jiIHAMdR5ADgOIocABxHkQOA4yhyAHAcRQ4AjqPIAcBxFDkAOI4iBwDHUeQA\n4DiKHAAcR5EDgOMocgBwXItFPn/+fPn9fg0ZMiR8XVVVlfLy8pSWlqb8/HxVV1e3aUgAQNNaLPJ5\n8+aptLS03nWFhYXKy8vTgQMHNGHCBBUWFrZZQABA83xmZi1905EjRzR16lTt3btXkjRo0CBt375d\nfr9fFRUVCgaD+uWXX+pv2OdTBJtGjPh8PklePN9ezG1Pj9Wrubx+vRJNd0a1Rl5ZWSm/3y9J8vv9\nqqysjGYzAIAYSGrtBnw+3z97gw0tX748fDkYDCoYDLZ2HADcVEKhkEKhUKu2EfXSSigUUkpKisrL\nyzV+/HiWVjzG0gpzYz2T16834ra0Mm3aNBUXF0uSiouLNX369Gg2AwCIgRb3yOfMmaPt27fr5MmT\n8vv9evXVV3X//ffroYce0tGjRxUIBLRx40Z17dq1/obZI48r9siZG+uZvH69EU13RrS0Eq8wiB5F\nztxYz+T16424La0AABIHRQ4AjqPIAcBxFDkAOI4iBwDHUeQA4DiKHAAcR5EDgOMocgBwHEUOAI6j\nyAHAcRQ5ADiOIgcAx1HkAOA4ihwAHEeRA4DjKHIAcBxFDgCOo8gBwHEUOQA4jiIHAMdR5ADgOIoc\nABxHkQOA4yhyAHAcRQ4AjqPIAcBxFDkAOI4iBwDHUeQA4DiKHAAcR5EDgOMocgBwHEUOAI6jyAHA\ncRQ5ADiOIgcAx1HkAOA4ihwAHEeRA4DjKHIAcBxFDgCOo8gBwHEUOQA4jiIHAMdR5ADgOIocAByX\n1Jo7BwIBdenSRR06dFDHjh1VVlYWq1wAgAi1qsh9Pp9CoZC6d+8eqzwAgBvU6qUVM4tFDgBAlFpV\n5D6fTxMnTtSIESP0zjvvxCoTAOAGtGpp5auvvtLtt9+uEydOKC8vT4MGDdLYsWPDty9fvjx8ORgM\nKhgMtmYcgLhJks/ni/vU5ORuOnu2Ku5zvRQKhRQKhVq1DZ/FaG1kxYoV6ty5sxYuXHh1wz4fyy5x\ndPVF58Xz7cXc9vRYvZrr3WNt770RTXdGvbRy4cIF1dTUSJLOnz+vL774QkOGDIl2cwCAKEW9tFJZ\nWakHHnhAknT58mXNnTtX+fn5MQsGAIhMzJZWGmyYpZW4YmmFue7PvDq3vfdGXJdWAACJgSIHAMdR\n5ADgOIocABxHkQOA41p1ZmciO3jwoHbv3h33uV27dtWkSZPiPhdA+3XTHn44d+5/tWnTHnXs+H9x\nnVtTs1HJyd1UU3M6rnOv4tA45ro88+pcDj+88efgpt0jr601/fXXU/rrr4K4zvX5Pv6nxL144QFo\nj1gjBwDHUeQA4DiKHAAcR5EDgOMocgBwHEUOAI6jyAHAcRQ5ADiOIgcAx920Z3YCcFHSP592FV/J\nyd109mxV3OfGCkUOIIFclhfv8VJT4/ZbXLC0AgCOo8gBwHEUOQA4jiIHAMdR5ADgOIocABxHkQOA\n4yhyAHAcRQ4AjuPMTgDw4K0BYvm2ABQ5AHjw1gCxfFsAllYAwHEUOQA4jiIHAMdR5ADgOIocABxH\nkQOA4yhyAHAcRQ4AjqPIAcBxFDkAOI4iBwDHUeQA4DiKHAAcR5EDgOMocgBwHEUOAI6LushLS0s1\naNAgDRw4UKtXr45lJgDADYiqyGtra/X000+rtLRUP//8s9avX699+/bFOluchLwOEKGQ1wEiFPI6\nQIRCXgeIUMjrABEKeR0gAiGvA7SZqIq8rKxMAwYMUCAQUMeOHTV79myVlJTEOluchLwOEKGQ1wEi\nFPI6QIRCXgeIUMjrABEKeR0gAiGvA7SZqIr8+PHj6tOnT/jr1NRUHT9+PGahAACRi+rDl+P9adPR\nSEq6Rf/5T5E6dtzc7Pf99dd+der0Xczm1tTE9wNcASCqIr/jjjt07Nix8NfHjh1Tampqve/p379/\nQhT+n3/+2OL3XLx4sA0mt8VjX+HBzEhcP7elnG0xMxrR5EyU5zgRZ8bq770tH2tzGeP/HDfWkf37\n97/x7ZjZDe9CXr58Wenp6dq6dat69+6tUaNGaf369crIyLjhAACA1olqjzwpKUn/+9//NGnSJNXW\n1qqgoIASBwCPRLVHDgBIHDE7s7O6ulqzZs1SRkaGBg8erG+++UaS9PbbbysjI0NZWVlavHhxrMZF\n7fqcX3/9tWbPnq3c3Fzl5uaqX79+ys3N9TpmoznLyso0cuRI5ebmauTIkdq1a1fCZdyzZ4/uuusu\nDR06VNOmTVNNTY2nGffv3x/+u83NzdWtt96qoqIiVVVVKS8vT2lpacrPz1d1dXXC5VyzZo0+/vhj\nZWZmqkOHDtq9e7enGZvLuWjRImVkZCg7O1szZszQmTNnEjLnsmXLlJ2drZycHE2YMKHe7/oSJWdR\nUVH49jfffFO33HKLqqqqmt+Qxchjjz1m69atMzOzS5cuWXV1tW3bts0mTpxoFy9eNDOzP/74I1bj\notZYzroWLlxor732mhfR6mks57hx46y0tNTMzD777DMLBoNeRmw044gRI2zHjh1mZvbuu+/a0qVL\nvYxYT21traWkpNjRo0dt0aJFtnr1ajMzKywstMWLF3uc7l91c+7bt8/2799vwWDQvvvuO6+j1VM3\n5xdffGG1tbVmZrZ48eKEfT7Pnj0bvr6oqMgKCgo8TFZf3ZxmZkePHrVJkyZZIBCwU6dONXvfmBR5\ndXW19evXr8H1Dz74oG3dujUWI2KiqZzXXLlyxfr06WO//vprHFM11FTO2bNn24cffmhmZh988IHN\nnTs33tHCmsp46623hi8fPXrUBg8eHM9Yzfr8889tzJgxZmaWnp5uFRUVZmZWXl5u6enpXkar5/PP\nP7d77rmn3nWJWOSN5TQz27Rpk6f/Nq/XVM7XX389oX7gXJ9z1qxZtmfPnoiKPCZLK4cPH9Ztt92m\nefPmadiwYXryySd1/vx5HTx4UDt27NDo0aMVDAb17bffxmJcTHNeuHAhfPvOnTvl9/ujOvwnlprK\nWVhYqIULF6pv375atGiRVq1alVAZz58/r8zMzPBZvh999JHn/3Wta8OGDZozZ44kqbKyUn6/X5Lk\n9/tVWVnpZbR6NmzYoIcfftjrGC1qKue7776rKVOmeJCocdfnfOmll9S3b18VFxdryZIlHiarr27O\nkpISpaamaujQoZHdORY/SXbt2mVJSUlWVlZmZmbPPvusvfzyy5aVlWXPPPOMmZmVlZU1uzccD43l\nrPtf/6eeesreeustr+KFNfV8TpgwwTZt2mRmZhs3brSJEycmVMalS5faL7/8Yvn5+TZ8+HBbsWKF\n9ejRw7OMdf3999/Ws2fP8PJe165d693erVs3L2I1cH3OaxJtj7ypnCtXrrQZM2Z4lKqhpnKama1a\ntcqeeOIJD1I1VDfn+fPnbdSoUXbmzBkzMwsEAnby5Mlm7x+TIi8vL7dAIBD+eufOnXbffffZvffe\na6FQKHx9//79WwzUlprKaXZ1jdfv99vx48e9ihfWWM4pU6ZYcnJy+LorV65Yly5dvIhnZs0/l9fs\n37/fRo0aFe9ojdq8ebNNmjQp/HV6erqVl5ebmdnvv/+eMEsr1+e8JtGKvLGc7733nt199932559/\nepSqoaaeTzOz3377zTIzM+OcqHF1c/7444/Wq1cvCwQCFggELCkpye68806rrKxs8v4xWVpJSUlR\nnz59dODAAUnSli1blJmZqfvvv1/btm2TJB04cEAXL15Ujx49YjEypjmvXc7IyFDv3r09y3dNUzkH\nDhyo7du3S5K2bdumtLS0hMt44sQJSdKVK1e0cuVKLViwwLOMda1fvz68rCJJ06ZNU3FxsSSpuLhY\n06dP9ypaPdfnrMsS6Ejh63OWlpbqjTfeUElJiTp16uRhsvquz3nw4L9ncZeUlCTEEWpS/ZxDhgxR\nZWWlDh8+rMOHDys1NVW7d+9Wr169mt5ArH6i/PDDDzZixAgbOnSoPfDAA1ZdXW0XL160Rx55xLKy\nsmzYsGH25ZdfxmpcTHOamT3xxBO2du1aj9P9q7Gcu3btslGjRll2draNHj3adu/enXAZ16xZY2lp\naZaWlmYvvviip/muOXfunPXo0aPeEQunTp2yCRMm2MCBAy0vL89Onz7tYcKrGsu5adMmS01NtU6d\nOpnf77fJkyd7mPCqxnIOGDDA+vbtazk5OZaTk2MLFizwMOFVjeWcOXOmZWVlWXZ2ts2YMaPZvdx4\naSxnXf369Wvxl52cEAQAjuOj3gDAcRQ5ADiOIgcAx1HkAOA4ihwAHEeRA4DjKHIAcBxFDgCO+3/9\nl/sjG6nKWQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10919fcd0>"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(bins,y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 19,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10925ea50>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nARZ7IiInwGJPROQE/h/rJtDY+ae1DAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10923fe10>"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(bins,y)\n",
      "hist(x[:,1])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 20,
       "text": [
        "(array([  4.,   4.,  13.,  16.,  19.,  19.,  15.,   5.,   3.,   2.]),\n",
        " array([ 66.77506818,  67.48297161,  68.19087503,  68.89877845,\n",
        "        69.60668188,  70.3145853 ,  71.02248872,  71.73039215,\n",
        "        72.43829557,  73.14619899,  73.85410242]),\n",
        " <a list of 10 Patch objects>)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEACAYAAACuzv3DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109270c10>"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(bins,y)\n",
      "hist(x[:,1],normed=1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 21,
       "text": [
        "(array([ 0.05650488,  0.05650488,  0.18364087,  0.22601953,  0.26839819,\n",
        "        0.26839819,  0.21189331,  0.0706311 ,  0.04237866,  0.02825244]),\n",
        " array([ 66.77506818,  67.48297161,  68.19087503,  68.89877845,\n",
        "        69.60668188,  70.3145853 ,  71.02248872,  71.73039215,\n",
        "        72.43829557,  73.14619899,  73.85410242]),\n",
        " <a list of 10 Patch objects>)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XtcVHX+x/HXcElT8RqiMhQqKKSJJHhJLTYvpLWkZEVZ\nWbFKtma1mpfKxKwUW+un0W520bUt0U3daF0lMyXL1sbSZAsvWKKIiqbiBbfQ4fv74ySJwjDAMN+5\nfJ6Ph48Hw5wz543Km8OZ8/1+TUophRBCCI/mozuAEEKI+idlL4QQXkDKXgghvICUvRBCeAEpeyGE\n8AJS9kII4QWqLfusrCwiIiIIDw8nLS3tsuczMzOJiooiOjqaHj16sH79erv3FUII4RwmW/fZW61W\nOnfuzLp16wgODiY2NpaMjAwiIyPLtykpKaFx48YA/Pe//2X48OHs2bPHrn2FEEI4h80ze4vFQlhY\nGKGhofj7+5OUlERmZmaFbS4UPcCZM2e46qqr7N5XCCGEc9gs+8LCQkJCQsofm81mCgsLL9vuww8/\nJDIykiFDhjB//vwa7SuEEKL+2Sx7k8lk14sMGzaMHTt28K9//Yv7778fmYFBCCFci5+tJ4ODgyko\nKCh/XFBQgNlsrnL7/v37c/78eY4fP47ZbLZr37CwMH744YfaZBdCCK/VsWNH9uzZY/8OyoZz586p\nDh06qL1796pffvlFRUVFqdzc3Arb7NmzR5WVlSmllPrmm29Uhw4d7N731zeHbUVwGdOnT9cdwS6S\n07HcIac7ZFRKcjpaTbvT5pm9n58f6enpxMfHY7VaSU5OJjIykgULFgCQkpLCihUrePfdd/H396dJ\nkyYsXbrU5r5CCCGcz2bZAwwZMoQhQ4ZU+FxKSkr5x5MmTWLSpEl27yuEEML5ZAStneLi4nRHsIvk\ndCx3yOkOGUFy6mZzUJVTAphMcveOEELUUE27U87shRDCC0jZCyGEF5CyF0IILyBlL4QQXkDKXggh\nvICUvRBCeAEpeyEc6Px53QmEqJyUvRB1dOIELF4Mv/89NGkCc+fqTiTE5aTshaiFY8dg4UIYMgSu\nuQY+/BCSkuDrr2HOHNi0SXdCISqSEbRC2OnoUaPUP/gAvvoKBg2CO++EoUMhIOC37Vatgkcfha1b\n4deF24RwuJp2p5S9EDYUFcE//2kU/DffwC23wIgRxhn9RStyXmbSJPjvf+Hf/wYf+f1Z1AMpeyHq\n6OBBWLkSli+H7duNM/cRIyA+Hho1su81zp2DuDi47TaYOrVe4wovJWUvRC0cOAArVhgF//33RkmP\nGAGDB0PDhrV/zZgY47eC/v0dm1cIKXsh7LRv328Fv2sXJCQY1+AHDIAGDRxzjDVrYMwY4xJQ69aO\neU0hQMpeCJv27jXKffly+OEHGDbMKPjf/Q6uuKJ+jvn000bZr1kj1++F40jZC3GJPXt+K/iCAhg+\n3LhEc9NN4O9f/8c/fx5uvtm4JPTss/V/POEdpOyFAIqL4fXXjevlRUWQmGgUfP/+4FftYpyOV1ho\nXL9fssT4LUKIupKyFwIYNQqWLFnF+fNzgE1AmfMO7gtYK3tiELAIuB444tBDBjQL4FTxKYe+pnBt\nUvbC623ZArffDocOBUDqGecHSP31T2XWPw8FfeD+ePBx4A+gVOT7yMvIsoTCqykFTz4Jzz8PoKHo\nqxOXCsoXNsrFe+FcUvbCoyxfDmfOwEMP6U5SBZ8yuONe+DoFfrxZdxrhRaTshcf4+WdjmoJXXgFf\nX91pbAg4DIn3w8q/w+k2utMILyFlLzzGvHkQFWXc5ujyOqyHHm/CiiVgdeWfTMJTSNkLj1BUBC+/\nbPxxGzfNBJMVPpuuO4nwAlL2wiM89xw88ACEh+tOUgM+ZXDHSNj2MOwZpDuN8HAahpcI4Vg5OcY8\n8zt36k5SC02OQOJIWJEBY2Kg6UHdiYSHqvbMPisri4iICMLDw0lLS7vs+ffff5+oqCi6detG3759\nycnJKX8uNDSUbt26ER0dTc+ePR2bXAiMWy3/9CeYNg1atNCdppbafwaxr8PyDLl+L+qNzbK3Wq2M\nGzeOrKwscnNzycjIYMeOHRW26dChAxs3biQnJ4dp06YxZsyY8udMJhPZ2dls27YNi8VSP1+B8Gqr\nVhlTEaSk6E5SR/1fAr+fYcPzupMID2Wz7C0WC2FhYYSGhuLv709SUhKZmZkVtunTpw/NmjUDoFev\nXhw4cKDC8zKqT9SX0lKYONG41dIZE5rVKx8FiffB9gcg7xbdaYQHsln2hYWFhISElD82m80UFhZW\nuf0777zD0KFDyx+bTCYGDhxITEwMb731lgPiCvGbv/4V2rc3lgj0CE2OGgOuPlwEJ8260wgPY/MN\nWpPJZPcLbdiwgYULF7Jp06byz23atIm2bdty9OhRBg0aREREBP1lyR7hAMePw4svwoYNupM4WOjn\n0HseLF8KD8aB73ndiYSHsFn2wcHBFBQUlD8uKCjAbL78jCMnJ4fRo0eTlZVFi4veJWvbti0AgYGB\nDB8+HIvFUmnZp6amln8cFxdHXFxcTb8O4WVmzDCmLO7SRXeSetA3Dfb1h/UvwKAputMIF5GdnU12\ndnat97c56+X58+fp3Lkzn376Ke3ataNnz55kZGQQGRlZvs3+/fu5+eabee+99+jdu3f558+ePYvV\naiUgIICSkhIGDx7M9OnTGTx4cMUAMuulqKGdO4156XNzITCw6u1MJlPVs0/Wp1TqftySVrBgK9z6\nKHT+t13HlO8j71LT7rR5Zu/n50d6ejrx8fFYrVaSk5OJjIxkwYIFAKSkpPD8889z4sQJxo4dC4C/\nvz8Wi4XDhw+TmJgIGD80Ro4ceVnRC1EbEyfC5Mm2i97tNT4GI+6BZStgdE9oXlD9PkLYIPPZC7fy\nyScwdix8/331i4K79Zn9BZsmwo5EePAm8Dtn85jyfeRdZD574bHOnzcGUL38cvVF7zH6zIUrj8Gn\ns3QnEW5Oyl64jXfegVatYNgw3UmcyEfB8FGQOwJ2JuhOI9yYzI0j3MLJkzB9OqxZAzW4I9gzNDoO\nI+6GpZkQtB1a7NOdSLghObMXbuGll2DoUIiO1p1Ek5CvjFsyly+D8+4+XFjoIGUvXN6PP8LbbxuD\nqLxan1ehySH4ZI7uJMINSdkLlzd5srGI+K9j9LyXCRj2EOy6HXKH604j3IyUvXBpGzeCxQITJuhO\n4iKuLDau3696A463151GuBEpe+GyysqMWy1nz4Yrr9SdxoWYt8CNL8IH/4DzV+hOI9yElL1wWX//\nuzF1cVKS7iQuqNd8aL4P1v5ZdxLhJqTshUsqKYFnnoFXX/XCWy3tYQISkiFvKHw/Qnca4QbkPnvh\nkubMgRtvhIvm1hOXuvIk3HkXvLcG2KY7jXBxUvbC5Rw4AOnpsE36q3rttkLcDFidQVkZ+Mjv6qIK\n8l9DuJypU+HRR+Hqq3UncROxfwF8Wb1adxDhyqTshUuxWGD9euPeemEnE8BsZs0CmfhSVEXKXjhF\n0+ZNMZlM1f7p1WsTBw8+REBA9dtW98e7rKCoCL74QncO4arkmr1witMnT1c/x/t3d8EXV8KYxY45\nDanueB6ljEmTjDEJssyzqIyc2QvXcK4BfJIGtzxpTOsrauyBB4w3tXNydCcRrkjKXriGzU9C260Q\nulF3ErfVsCE88QSkpelOIlyRXMYR+p0Ogi8nwOheupO4vUcegQ4djJlCO3TQnUa4EjmzF/ptmAnR\ni6Dlj7qTuL2mTSElBf4ssyiIS0jZC70ORcGu38ONL+hO4jHGj4elS6GoSHcS4Uqk7IU+Cvj4FWME\naMNTutN4jKAguOcemDdPdxLhSqTshT67EqCkNVz/lu4kHmfiRHjzTWPtXiFAyl7oct7fmJ43fgL4\nWnWn8Tjt20N8PCxYoDuJcBVS9kKPLX+ElnkQtlZ3Es/gw2UjiJcsuY7Jkw9iMjWs82jkqv40bd5U\n91cu7CS3XgrnO9sSPp8KD92kO4nnKKOSEcPfwftbofMoiHmzXg57OvV0vbyucDw5sxfOl50KXZdB\n4E7dSTxfv9mwaRJYfXUnEZpJ2QvnOhoB390Ncam6k3iHazZBk0Ow4w7dSYRmUvbCudb+GfrPgkbH\ndSfxHv1mwxdTjFtdhdeqtuyzsrKIiIggPDyctEom3Xj//feJioqiW7du9O3bl5yLZmGqbl/hZfYM\nhmPhEPu67iTeJXw1lPnBnnjdSYRGNsvearUybtw4srKyyM3NJSMjgx07dlTYpkOHDmzcuJGcnBym\nTZvGmDFj7N5XeBNfYwDV4KfA75zuMN7FR/12di+8ls2yt1gshIWFERoair+/P0lJSWRmZlbYpk+f\nPjRr1gyAXr16ceDAAbv3Fd5kNDQ5DJ0/0h3EO3VZBievgQJZwd1b2Sz7wsJCQkJCyh+bzWYKCwur\n3P6dd95h6NChtdpXeK7iYoDpEP+nX5fQE07na4Ub/gxfyHqP3srmffY1Wdptw4YNLFy4kE2bNtV4\n39TU1PKP4+LiiIuLs3tf4fpefBHgX9BGVtXQqvsi+Ow5OBIJreWSqrvJzs4mOzu71vvbLPvg4GAK\nCgrKHxcUFGA2my/bLicnh9GjR5OVlUWLFi1qtC9ULHvhWQoLYeFCgGm6o4gr/ge95hv33Q9/SHca\nUUOXngjPmDGjRvvbvIwTExNDXl4e+fn5lJaWsmzZMhISEipss3//fhITE3nvvfcICwur0b7C8736\nKowaBSDz7bqE2Ndh9++hOKT6bYVHsXlm7+fnR3p6OvHx8VitVpKTk4mMjGTBr7MrpaSk8Pzzz3Pi\nxAnGjh0LgL+/PxaLpcp9hfc4fhwWLYLt243SFy7gypMQ/Q78ZwIMeUJ3GuFEJqWU1qEWJpMJzRFE\nPZk5E/buNS7jmEymSuZuqWepOP+Yuo5bk2Oeagt/+Q4e6wSNj9X5uPL9q0dNu1NG0Ip6UVIC6ekw\naZLuJOIyTQ/BtcvB8pjuJMKJpOxFvVi4EPr1g4gI3UlEpfq+DFsehV8a604inETKXjjcuXPGgteT\n5ZZu19VqD4RugK2jdScRTiJlLxxu6VIIC4OePXUnETb1mw1fToDzV+hOIpxAyl44VFkZpKXBFJmG\nxfW12watv4eckbqTCCeQshcO9e9/Q4MGMHCg7iTCLhcWNymTKvB08i8sHEYpmDXLOKuvwWwZQqfQ\nbGh4EnberjuJqGdS9l6mafOm9bb4tI/PjfznP7u56y7fy54TLsqELG7iJWTBcS9z+uTp+hvw894U\niJwDPcouf66+jinqrnMmfPoS7L0ZOqzXnUbUEzmzF45xuBsURUHU33UnETXlo6Bvmixu4uGk7IVj\nfDEZer8KfqW6k4jauG4J/BQBhT10JxH1RMpe1N3x9vDDYOjxpu4korb8zkGfubBJRsJ5Kil7UXdf\nToSYN6Dhad1JRF1c/zbkx8FP4bqTiHogZS/q5nQQfJdkLIoh3FuDEmO++y+f0p1E1AMpe1E3Xz1u\nXO9tclR3EuEIvV6D3DvgVDvdSYSDSdmL2vu5KXwz2ljIWniGRseh+2L4z5O6kwgHk7IXtff1IxC+\nBlrs051EOFKfV2Dbw3C2he4kwoGk7EXtnGsAm5+AvnN0JxGO1uwARGQa890LjyFlL2pn+yho9zUE\nfac7iagPfecYK1mVXqk7iXAQKXtRc1ZfY6bEfrN1JxH1JXAnhHwJ25J1JxEOImUvai53BAQchKu/\n1J1E1Kd+s40xFFaZQssTSNmLmlEYc6jIWb3nM1ugxQ/GOArh9qTsRc3siQflA+GrdScRztBvtjHv\nUZlMU+3upOxFzVw4q5fvfe/Q8RPwLYW8W3UnEXUkZS/sV9AbTl4DXf6hO4lwlguLm3w+VRY3cXNS\n9sJ+X0yGG14GX6vuJMKZrl0BZwNhX3/dSUQdSNkL+xyJhAO9IXqR7iTC2XzKjPvuZXETtyZlL+yz\nabIxs6X/z7qTCB2i3oXD3Y0VyYRbqrbss7KyiIiIIDw8nLS0tMue37lzJ3369KFhw4bMnTu3wnOh\noaF069aN6Ohoevbs6bjUwrmKr4bdt0HsX3QnEbr4lUKfV41LecIt2RwtYbVaGTduHOvWrSM4OJjY\n2FgSEhKIjIws36ZVq1a89tprfPjhh5ftbzKZyM7OpmXLlo5PLpznP3+C6HfgypO6kwideiyAeT8a\nK5O13Ks7jaghm2f2FouFsLAwQkND8ff3JykpiczMzArbBAYGEhMTg7+/f6WvoZS8he/WSlrB9vuN\nszrh3RqehpgFxqha4XZsln1hYSEhISHlj81mM4WFhXa/uMlkYuDAgcTExPDWW2/VPqXQx/IYdPkA\nAg7rTiJcQa95xoja00G6k4gasnkZx2Sq28iZTZs20bZtW44ePcqgQYOIiIigf//Lb99KTU0t/zgu\nLo64uLg6HVc4yC+NjWluk/voTiJcRZOjxspkXz0OA5/WncarZGdnk52dXev9bZZ9cHAwBQUF5Y8L\nCgowm812v3jbtm0B41LP8OHDsVgs1Za9cCFbR0P79dDqB91JhCu5YS68+fWv8yOd0p3Ga1x6Ijxj\nxowa7W/zMk5MTAx5eXnk5+dTWlrKsmXLSEhIqHTbS6/Nnz17ltOnTwNQUlLC2rVrue6662oUTmh0\n3t94Y7bv5XdgCS/XIh/C1hgrlQm3YfPM3s/Pj/T0dOLj47FarSQnJxMZGcmCBQsASElJ4fDhw8TG\nxnLq1Cl8fHyYN28eubm5HDlyhMTERADOnz/PyJEjGTx4cP1/RcIxcu6DwFxot013EuGK+qXB39cC\n83QnEXaqdqLqIUOGMGTIkAqfS0lJKf+4TZs2FS71XNCkSRO+/fZbB0QUTlfmYyxOcttY3UmEqwr6\nDtp+A3kP6U4i7CQjaMXldt4ODYshNFt3EuHK4mYAz1JSojuIsIeUvajo4sVJZBpjYUvw18Am5smV\nHLcgZS8q2vs7KA2Azh/pTiLcwjO88gr89JPuHKI6Uvaioi+mGHfg+MjIZ2GPPdx9N7z0ku4cojpS\n9uI3B6+HnyKNQTNC2GnaNFi8GPLzdScRtkjZi998MQX6zAW/c7qTCDfSpg2MG2eUvnBdUvbC8FM4\n5MfB9W/rTiLc0MSJ8MknIHdbuy4pe2H48imIfR0ayH10ouYCAuDZZ2HqVN1JRFWk7AWcage5d0Cv\n13QnEW5szBjYvRvWr9edRFRGyl7A5ieg+2JodFx3EuHGrrgCXnwRJk+GsjLdacSlpOy93f+aw7aH\noc8rupMID3DXXaAULF+uO4m4lJS9t9vyqDGAqtkB3UmEB/DxgbQ0ePppOCc3dbkUKXtvVnolfDUe\n+s7RnUR4kAEDoGNHkMXpXIuUvTfb9jCEfAmBO3UnER5m9myYORN+XdJCuAApe29l9TMWju43W3cS\n4YGio+Hmm+EVeSvIZUjZe6vv7oYWP4LZojuJ8FAvvADz50NRke4kAqTsvVOZ6bdpjIWoJ+3bw/33\nG6Uv9JOy90Z5Q8G3FDp+ojuJ8HDPPAMZGfCDrFmvnZS9N5LFSYSTBAbCE08YpS/0krL3Ov3gTBu4\ndoXuIMJLPPkkbNwIX3+tO4l3k7L3OlOM++p9ZDy7cI7GjWH6dGMaBSVr4mgjZe9FcnIAoiHqXd1R\nhJd5+GE4cMCYBlnoIWXvRaZPB/g/8P9FdxThZfz9jaULZZI0faTsvURmJuTmAszXHUV4qcREaNDA\nuDtHOJ+UvRc4dQoeewwWLACQs3qhh8lkTJL27LPwi/w3dDopey/w7LMwcCDExelOIrzdTTdBly7w\nxhu6k3gfP90BRP2yWOCDD+C773QnEcIwa5Zx8vHgg9Csme403kPO7D3YuXMwejT8+c/QqpXuNEIY\nrrsOhgyBl1/WncS7VFv2WVlZREREEB4eTlpa2mXP79y5kz59+tCwYUPmzp1bo31F/Xr1VWjTBu69\nV3cSISp6/nn461/h0CHdSbyHzbK3Wq2MGzeOrKwscnNzycjIYMeOHRW2adWqFa+99hoTJ06s8b6i\n/vz4I8yZY3xDmWRaBOFirr7auPd+xgzdSbyHzbK3WCyEhYURGhqKv78/SUlJZGZmVtgmMDCQmJgY\n/P39a7yvqB9KwdixMGkSdOigO40QlZs6FVasgF27dCfxDjbLvrCwkJCQkPLHZrOZwsJCu164LvuK\nulmyxJhD/MkndScRomotW8LEicZ6taL+2bwbx1SH3/9rsm9qamr5x3FxccTJPYK1duyY8Q2UmWmM\nWhTClY0fD506webN0Lu37jSuLTs7m+zs7Frvb7Psg4ODKSgoKH9cUFCA2Wy264Vrsu/FZS/q5qmn\n4K67oGdP3UmEqN6VVxrX7SdNgs8+k/eXbLn0RHhGDd/wsHkZJyYmhry8PPLz8yktLWXZsmUkJCRU\nuq26ZDq7muwrHGPDBli3TlYGEu7lgQeM30hXr9adxLPZPLP38/MjPT2d+Ph4rFYrycnJREZGssAY\nd09KSgqHDx8mNjaWU6dO4ePjw7x588jNzaVJkyaV7ivqx88/Q0oKpKdDQIDuNELYz8/PGGg1ZQrc\ncgv4+upO5JlM6tJTcmcHMJku+61A1Nxzz8H33xt3N9hiMpkg1SmRKkrF+cfVcUxdx9VxzF+P64jv\nX6XgxhshOdkYWSuqV9PulOkSPEBurnE//bff6k4iRO1cmCQtKQnuvtu4li8cS6ZLcHNlZTBmjPEm\nV3Cw7jRC1N4NN0CPHvD667qTeCYpezf31ltG4T/yiO4kQtTdSy8ZI79PnNCdxPNI2buxQ4eM6Yvf\nfBN85F9SeIDISBg2DGbP1p3E80hFuLHHHzcu4XTtqjuJEI4zfTq8/TZcNExHOICUvZtatQq2bTPO\n7IXwJMHBxm3EMtbSseRuHDd05gz88Y+wcKHctSA806RJxjQK339vrGwl6k7O7N3QtGnGEoMDBuhO\nIkT9aN7cGGQ1daruJJ5Dyt7NfP01ZGTAJevECOFx/vhHyMmBzz/XncQzSNm7kfPnjWUGX34ZrrpK\ndxoh6leDBjBzJkyebIywFXUjZe9G5s0z1pK97z7dSYRwjnvvhZISY8puUTdS9m4iP9+YLOqNN2Qa\nWOE9fH2Ne+6nTjV+sxW1J2XvBi4sMzhhAoSF6U4jhHPdcgu0bQuLFulO4t6k7N3AsmVw4ICxApUQ\n3ubCJGmpqXD2rO407kvK3sWdOAF/+pMxB44sMyi8VWws9O1rvG8lakfK3sVNmgSJibI+pxAvvmjc\ncnzsmO4k7knK3oVt3Ahr1hgzAQrh7cLDjbnuX3xRdxL3JNMluKhffjEmOXvtNWjaVHcaIarg8+vq\nZ07TGshlwVsJlJze5MTjuj8pexc1ezZERMDw4bqTCGFDGU5eDvEIfP8IZz/4Bz/+CB06OPPY7k0u\n47ignTuNM/r0dN1JhHBBXZYDLzB4MBQV6Q7jPqTsXcyFZQanTwezWXcaIVzVG9x/v3EP/smTurO4\nByl7F7NwoXG9/tFHdScRwrU995yxbu2wYfDzz7rTuD4pexdSVARPP23cU+/rqzuNEK7NZIL586F1\na2MOHatVdyLXJmXvQp54Ah5+GLp1051ECPfg6wvvvgunThlTisjsmFWTsncRa9aAxWL8aiqEsF+D\nBvDPf8LWrfL9Y4vceukCSkqMa/QLFkCjRrrTCOF+AgKME6Z+/SAwEMaP153I9UjZu4DUVOM/6eDB\nupMI4b4CA+Hjj6F/f2Nxn3vv1Z3ItXh92Y9+dDRbt291+nHjB8Tz0vMvsW2bcc3xu++cHkEIjxMa\napzhDxhgLPQTH687keuotuyzsrJ44oknsFqt/OEPf2Dy5MmXbTN+/HjWrFlDo0aN+Nvf/kZ0dDQA\noaGhNG3aFF9fX/z9/bFYLI7/Curoo399xJHYIxDgxIMWwbezvmXWzDTgKyCd1q0XOzGAEJ6ra1dY\nudK4JXPVKujVS3ci12Cz7K1WK+PGjWPdunUEBwcTGxtLQkICkZGR5dusXr2aPXv2kJeXx1dffcXY\nsWPZvHkzYMyZkZ2dTcuWLev3q6irEMCZEX2h7HwZxD8Ou07BqMXgrOlFUp10HCE06tvXWOzk9tth\nwwa4qLK8ls27cSwWC2FhYYSGhuLv709SUhKZlywG+dFHHzFq1CgAevXqRXFxMUUXjWFWci9UFULg\n82fgtkecV/RCeJHbboM5c4xRtgUFutPoZ7PsCwsLCQkJKX9sNpspLCy0exuTycTAgQOJiYnhrbfe\ncmRu96YAXode8+CqPN1phPBYDzxg3JkTHy/z4Nu8jGPv1KVVnb1/8cUXtGvXjqNHjzJo0CAiIiLo\n379/zVN6kjITbH0BCIW+d+hOI4THmzDBGJ1+222wbh00bqw7kR42yz44OJiCi37/KSgowHzJ7FyX\nbnPgwAGCg4MBaNeuHQCBgYEMHz4ci8VSadmnpqaWfxwXF0dcXFyNvxC38EtjWPkeFLcEbga/c7oT\nCeEV0tKM0ekjRsBHH7nnEp/Z2dlkZ2fXen+bZR8TE0NeXh75+fm0a9eOZcuWkZGRUWGbhIQE0tPT\nSUpKYvPmzTRv3pygoCDOnj2L1WolICCAkpIS1q5dy/Tp0ys9zsVl77FOXANLM6HdFuh1F7wrRS+E\ns5hMxpxTw4fDQw8Ztzv7uNn8AZeeCM+YMaNG+9ssez8/P9LT04mPj8dqtZKcnExkZCQLFiwAICUl\nhaFDh7J69WrCwsJo3LgxixYtAuDw4cMkJiYCcP78eUaOHMlgbx01tK8vfPAB9JsNvebDft2BhPA+\nfn6wbJlx/X7CBHjlFeOHgLeo9j77IUOGMGTIkAqfS0lJqfA4vZJVNjp06MC3335bx3geYOtDsG42\nJN4PYWt1pxHCqzVqZFzGufFG49LOlCm6EzmP14+grTdWX/hkDuy+DR7uD1ft1p1ICAG0aGFMq9C3\nrzGtwh/+oDuRc7jZVSs38XNTyPgXHLkORveSohfC0X5d6Ly2f4KDTeTnd2L06EOYTMPs2qdp86a6\nv+o6kTN7RzsWBhkfQYdPIP5P4CsrKgjhcA5Z6DwPDt4G762Bu05A6EabW59OPV3XA2olZ/aO9MMA\nWPgF9P5Bvk3zAAAL+ElEQVQ/GPq4FL0Qrq7dVhiRBB/8Aw579qpBUvaOYnnUuId+xN0Q86buNEII\ne3XYAEP/CO+vhuPtdaepN3IZp66sfrBmPuzrD8k3QMu9uhMJIWqqywo4Gwh/XwsP94OAour3cTNy\nZl8XZ1sa/zlOmaXohXB3sW9A1Lvw/hrjJgsPI2VfW0ci4a2vINgCScOgoXu/eSOEAG6aCSGbYOmH\ncK6B7jQOJWVfG7uHwt+y4abnYdAU8CnTnUgI4QgmYMjj0PgIrFgCZZ5TkZ7zlTiDAjZNgH+9Cffc\nDt3/rjuREMLRfMpg+ANQGgCr/vrrlOTuT8reXuevgA8XwX/vhT/0hpDNuhMJIeqLXyncnQiHo2H9\nTN1pHELK3h5nWsPfNkBpE2Pqg2YHdCcSQtS3Bmdg5FDIvRM2P6Y7TZ3JrZfVOdTdeLOm+yLjGr2P\nh/xOJ4SoXuOf4P7BxmBJU4ndCzo5UkCzAE4Vn6rz60jZ25KbCKvegFsfhS7LdacRQujQfD/cdwv8\nJQOCHjOmKr92udNGyDtqmga5jFMZBXz2LGS9CvfFS9EL4e1a5wJRMOAZ2PJHSN8FW1Lc6vZMKftL\nlV4JyzNg963GjJXttulOJIRwFZ1Ww8M3wrBRkHcrzNsLn092i0FYUvYXO9UOFm0E33PwYBwEHNad\nSAjhiq7ZBPcmGNfzj3aBeT/CJ7PgdJDuZFWSsr/gQKwxIrbLB8Y9tv6/6E4khHB1Qd9B4gMwpodx\nt97rubDqL3C8g+5kl5GyB9h1DyxZBbeNhX5zjFF0Qghhrxb74NbHYFwEXHnMOHFcvgQORelOVs6r\ny76sDM6cfBr+8wKMuhk6r9IdSQjhzpochQHT4PEO0PYbWPJveG815N+ofSSuV5e9yQQ+Psfhrl4Q\n9L3uOEIIT9HwNPSda5R+5Er46G14ZxPs/D2U6bl04PVl3yjgDWj0k+4oQghP5FcKPd42Lu/0eRU+\nmw5//S98e7+xFoYTeXXZCyGEU/iUGeN1xsTALU/A9lEwf48xDUNpI+dEcMpRhBBCGDd/dFwHowbC\nnXfCvpvg//ZC9jQ426JeDy1lL4QQOpi3wN0j4KGboDjUONP/+M9wMrheDidlL4QQOgXuhGHJMDYK\nlAn+mgOZb8NPnRx6GCl7IYRwBc0OwC0TYHw4NNsHCz+HZcuBax3y8lL2QgjhShodh7iZ8ER7uGYj\nEOCQl6227LOysoiIiCA8PJy0tLRKtxk/fjzh4eFERUWxbdu2Gu0rhBCiElechd7zga8c8nI2y95q\ntTJu3DiysrLIzc0lIyODHTt2VNhm9erV7Nmzh7y8PN58803Gjh1r975uZa/uAHaSnI7lDjndISNI\nTs1slr3FYiEsLIzQ0FD8/f1JSkoiMzOzwjYfffQRo0aNAqBXr14UFxdz+PBhu/Z1K/m6A9gpX3cA\nO+XrDmCnfN0B7JCvO4Cd8nUHsFO+7gD1w2bZFxYWEhISUv7YbDZTWFho1zYHDx6sdl8hhBDOYXO8\nrr3rLSrlvuuy+vn60eTjJvhcYfvti5+Lfqbh8YYOOaa1xEoJJQ55LSGEsIfNsg8ODqagoKD8cUFB\nAWaz2eY2Bw4cwGw2c+7cuWr3BejYsaOWRXxro/RIqWNfMNWxL1fuM03Hrc6lx60uZ30cszZqk9MR\nx3WHY9b0uI78N6/JcWuqqpz1eUwbKuvIjh071ug1bJZ9TEwMeXl55Ofn065dO5YtW0ZGRkaFbRIS\nEkhPTycpKYnNmzfTvHlzgoKCaNWqVbX7AuzZs6dGgYUQQtSczbL38/MjPT2d+Ph4rFYrycnJREZG\nsmDBAgBSUlIYOnQoq1evJiwsjMaNG7No0SKb+wohhHA+k3LnC+5CCCHs4vQRtMXFxYwYMYLIyEiu\nvfZavvrKGDDw2muvERkZSdeuXZk8ebKzY9nMuHnzZpKSkoiOjiY6Opr27dsTHR2tNWNVOS0WC7Gx\nsURHRxMbG8uWLVt0x6w05/bt2+nTpw/dunUjISGB06dPa824a9eu8n/f6OhomjVrxvz58zl+/DiD\nBg2iU6dODB48mOLiYpfLOW/ePJYvX06XLl3w9fVl69atWjPayvnUU08RGRlJVFQUiYmJnDx50iVz\nPvfcc0RFRdG9e3cGDBhQ4f1HV8g4f/788ufnzp2Lj48Px48ft/1CyskeeOAB9c477yillDp37pwq\nLi5W69evVwMHDlSlpaVKKaWOHDni7FgVVJbxYhMmTFAzZ87UEa2CynLedNNNKisrSyml1OrVq1Vc\nXJzOiEqpynPGxMSojRs3KqWUWrhwoZo2bZrOiBVYrVbVpk0btX//fvXUU0+ptLQ0pZRSs2fPVpMn\nT9ac7jcX59yxY4fatWuXiouLU998843uaBVcnHPt2rXKarUqpZSaPHmyy/59njp1qvzz8+fPV8nJ\nyRqT/ebijEoptX//fhUfH69CQ0PVsWPHbO7r1LIvLi5W7du3v+zzd955p/r000+dGaVKVWW8oKys\nTIWEhKg9e/Y4MdXlqsqZlJSkli1bppRSasmSJWrkyJHOjlZBVTmbNWtW/vH+/fvVtdde68xYNn38\n8ceqX79+SimlOnfurA4fPqyUUurQoUOqc+fOOqNV8PHHH6u+fftW+Jwrln1lOZVSauXKldr/f16s\nqpwvvfSSy/xQujTjiBEj1Pbt2+0qe6dextm7dy+BgYE89NBDXH/99YwePZqSkhLy8vLYuHEjvXv3\nJi4ujq+//tqZsarNePbs2fLnP//8c4KCgmp825OjVZVz9uzZTJgwgauvvpqnnnqKWbNmuVzOkpIS\nunTpUj6i+oMPPtD6a/Klli5dyj333ANAUVERQUFBAAQFBVFUVKQzWgVLly7l3nvv1R2jWlXlXLhw\nIUOHDtWQqHKX5nzmmWe4+uqrWbx4MVOmTNGY7DcXZ8zMzMRsNtOtWzf7dq7vn0QX27Jli/Lz81MW\ni0UppdTjjz+unn32WdW1a1c1fvx4pZRSFovF5pm1jowXX2J45JFH1CuvvKIrXrmq/i4HDBigVq5c\nqZRS6h//+IcaOHCgzphV/n3u3LlTDR48WPXo0UPNmDFDtWrVSmvOC3755Rd11VVXlV9KbN68eYXn\nW7RooSPWZS7NeYGrndlXlfOFF15QiYmJmlJdrqqcSik1a9Ys9eCDD2pIVdHFGUtKSlTPnj3VyZMn\nlVJKhYaGqp9++snm/k4t+0OHDqnQ0NDyx59//rm69dZb1ZAhQ1R2dnb55zt27Fht8PpSVUaljOvN\nQUFBqrCwUEu2i1WWc+jQoSogIKD8c2VlZapp06Y64pWz9fd5wa5du1TPnj2dHa1SH374oYqPjy9/\n3LlzZ3Xo0CGllFIHDx50mcs4l+a8wNXKvrKcixYtUjfccIP63//+pynV5ar6+1RKqX379qkuXbo4\nOdHlLs6Yk5OjWrdurUJDQ1VoaKjy8/NT11xzjSoqKqpyf6dexmnTpg0hISHs3r0bgHXr1tGlSxdu\nv/121q9fD8Du3bspLS2lVatWzoxWbcYLH0dGRtKuXTst2S5WVc7w8HA++8wY/rd+/Xo6dXLsajc1\nVVXOo0ePAlBWVsYLL7xQPluqbhkZGeWXcMAYNLh48WIAFi9ezLBhw3RFq+DSnBdTLnQ39aU5s7Ky\nePnll8nMzKRhQ8dMP+IIl+bMy8sr/zgzM9Ml7r67OON1111HUVERe/fuZe/evZjNZrZu3Urr1q2r\nfgEn/VAq9+2336qYmBjVrVs3NXz4cFVcXKxKS0vVfffdp7p27aquv/56tWHDBmfHqjajUko9+OCD\nasGCBVqzXayynFu2bFE9e/ZUUVFRqnfv3mrr1q26Y1aac968eapTp06qU6dOaurUqbojKqWUOnPm\njGrVqlWFOzGOHTumBgwYoMLDw9WgQYPUiRMnNCY0VJZz5cqVymw2q4YNG6qgoCB1yy23aExoqCxn\nWFiYuvrqq1X37t1V9+7d1dixYzUmNFSW84477lBdu3ZVUVFRKjEx0eYZszNUlvFi7du3r/YNWhlU\nJYQQXkCWJRRCCC8gZS+EEF5Ayl4IIbyAlL0QQngBKXshhPACUvZCCOEFpOyFEMILSNkLIYQX+H+a\n6wOHaRjFVwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1097966d0>"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Saving to a file"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(bins,y)\n",
      "hist(x[:,1],normed=1)\n",
      "savefig(\"hist.png\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XtcVHX+x/HXcElT8RqiMhQqKKSJJHhJLTYvpLWkZEVZ\nWbFKtma1mpfKxKwUW+un0W520bUt0U3daF0lMyXL1sbSZAsvWKKIiqbiBbfQ4fv74ySJwjDAMN+5\nfJ6Ph48Hw5wz543Km8OZ8/1+TUophRBCCI/mozuAEEKI+idlL4QQXkDKXgghvICUvRBCeAEpeyGE\n8AJS9kII4QWqLfusrCwiIiIIDw8nLS3tsuczMzOJiooiOjqaHj16sH79erv3FUII4RwmW/fZW61W\nOnfuzLp16wgODiY2NpaMjAwiIyPLtykpKaFx48YA/Pe//2X48OHs2bPHrn2FEEI4h80ze4vFQlhY\nGKGhofj7+5OUlERmZmaFbS4UPcCZM2e46qqr7N5XCCGEc9gs+8LCQkJCQsofm81mCgsLL9vuww8/\nJDIykiFDhjB//vwa7SuEEKL+2Sx7k8lk14sMGzaMHTt28K9//Yv7778fmYFBCCFci5+tJ4ODgyko\nKCh/XFBQgNlsrnL7/v37c/78eY4fP47ZbLZr37CwMH744YfaZBdCCK/VsWNH9uzZY/8OyoZz586p\nDh06qL1796pffvlFRUVFqdzc3Arb7NmzR5WVlSmllPrmm29Uhw4d7N731zeHbUVwGdOnT9cdwS6S\n07HcIac7ZFRKcjpaTbvT5pm9n58f6enpxMfHY7VaSU5OJjIykgULFgCQkpLCihUrePfdd/H396dJ\nkyYsXbrU5r5CCCGcz2bZAwwZMoQhQ4ZU+FxKSkr5x5MmTWLSpEl27yuEEML5ZAStneLi4nRHsIvk\ndCx3yOkOGUFy6mZzUJVTAphMcveOEELUUE27U87shRDCC0jZCyGEF5CyF0IILyBlL4QQXkDKXggh\nvICUvRBCeAEpeyEc6Px53QmEqJyUvRB1dOIELF4Mv/89NGkCc+fqTiTE5aTshaiFY8dg4UIYMgSu\nuQY+/BCSkuDrr2HOHNi0SXdCISqSEbRC2OnoUaPUP/gAvvoKBg2CO++EoUMhIOC37Vatgkcfha1b\n4deF24RwuJp2p5S9EDYUFcE//2kU/DffwC23wIgRxhn9RStyXmbSJPjvf+Hf/wYf+f1Z1AMpeyHq\n6OBBWLkSli+H7duNM/cRIyA+Hho1su81zp2DuDi47TaYOrVe4wovJWUvRC0cOAArVhgF//33RkmP\nGAGDB0PDhrV/zZgY47eC/v0dm1cIKXsh7LRv328Fv2sXJCQY1+AHDIAGDRxzjDVrYMwY4xJQ69aO\neU0hQMpeCJv27jXKffly+OEHGDbMKPjf/Q6uuKJ+jvn000bZr1kj1++F40jZC3GJPXt+K/iCAhg+\n3LhEc9NN4O9f/8c/fx5uvtm4JPTss/V/POEdpOyFAIqL4fXXjevlRUWQmGgUfP/+4FftYpyOV1ho\nXL9fssT4LUKIupKyFwIYNQqWLFnF+fNzgE1AmfMO7gtYK3tiELAIuB444tBDBjQL4FTxKYe+pnBt\nUvbC623ZArffDocOBUDqGecHSP31T2XWPw8FfeD+ePBx4A+gVOT7yMvIsoTCqykFTz4Jzz8PoKHo\nqxOXCsoXNsrFe+FcUvbCoyxfDmfOwEMP6U5SBZ8yuONe+DoFfrxZdxrhRaTshcf4+WdjmoJXXgFf\nX91pbAg4DIn3w8q/w+k2utMILyFlLzzGvHkQFWXc5ujyOqyHHm/CiiVgdeWfTMJTSNkLj1BUBC+/\nbPxxGzfNBJMVPpuuO4nwAlL2wiM89xw88ACEh+tOUgM+ZXDHSNj2MOwZpDuN8HAahpcI4Vg5OcY8\n8zt36k5SC02OQOJIWJEBY2Kg6UHdiYSHqvbMPisri4iICMLDw0lLS7vs+ffff5+oqCi6detG3759\nycnJKX8uNDSUbt26ER0dTc+ePR2bXAiMWy3/9CeYNg1atNCdppbafwaxr8PyDLl+L+qNzbK3Wq2M\nGzeOrKwscnNzycjIYMeOHRW26dChAxs3biQnJ4dp06YxZsyY8udMJhPZ2dls27YNi8VSP1+B8Gqr\nVhlTEaSk6E5SR/1fAr+fYcPzupMID2Wz7C0WC2FhYYSGhuLv709SUhKZmZkVtunTpw/NmjUDoFev\nXhw4cKDC8zKqT9SX0lKYONG41dIZE5rVKx8FiffB9gcg7xbdaYQHsln2hYWFhISElD82m80UFhZW\nuf0777zD0KFDyx+bTCYGDhxITEwMb731lgPiCvGbv/4V2rc3lgj0CE2OGgOuPlwEJ8260wgPY/MN\nWpPJZPcLbdiwgYULF7Jp06byz23atIm2bdty9OhRBg0aREREBP1lyR7hAMePw4svwoYNupM4WOjn\n0HseLF8KD8aB73ndiYSHsFn2wcHBFBQUlD8uKCjAbL78jCMnJ4fRo0eTlZVFi4veJWvbti0AgYGB\nDB8+HIvFUmnZp6amln8cFxdHXFxcTb8O4WVmzDCmLO7SRXeSetA3Dfb1h/UvwKAputMIF5GdnU12\ndnat97c56+X58+fp3Lkzn376Ke3ataNnz55kZGQQGRlZvs3+/fu5+eabee+99+jdu3f558+ePYvV\naiUgIICSkhIGDx7M9OnTGTx4cMUAMuulqKGdO4156XNzITCw6u1MJlPVs0/Wp1TqftySVrBgK9z6\nKHT+t13HlO8j71LT7rR5Zu/n50d6ejrx8fFYrVaSk5OJjIxkwYIFAKSkpPD8889z4sQJxo4dC4C/\nvz8Wi4XDhw+TmJgIGD80Ro4ceVnRC1EbEyfC5Mm2i97tNT4GI+6BZStgdE9oXlD9PkLYIPPZC7fy\nyScwdix8/331i4K79Zn9BZsmwo5EePAm8Dtn85jyfeRdZD574bHOnzcGUL38cvVF7zH6zIUrj8Gn\ns3QnEW5Oyl64jXfegVatYNgw3UmcyEfB8FGQOwJ2JuhOI9yYzI0j3MLJkzB9OqxZAzW4I9gzNDoO\nI+6GpZkQtB1a7NOdSLghObMXbuGll2DoUIiO1p1Ek5CvjFsyly+D8+4+XFjoIGUvXN6PP8LbbxuD\nqLxan1ehySH4ZI7uJMINSdkLlzd5srGI+K9j9LyXCRj2EOy6HXKH604j3IyUvXBpGzeCxQITJuhO\n4iKuLDau3696A463151GuBEpe+GyysqMWy1nz4Yrr9SdxoWYt8CNL8IH/4DzV+hOI9yElL1wWX//\nuzF1cVKS7iQuqNd8aL4P1v5ZdxLhJqTshUsqKYFnnoFXX/XCWy3tYQISkiFvKHw/Qnca4QbkPnvh\nkubMgRtvhIvm1hOXuvIk3HkXvLcG2KY7jXBxUvbC5Rw4AOnpsE36q3rttkLcDFidQVkZ+Mjv6qIK\n8l9DuJypU+HRR+Hqq3UncROxfwF8Wb1adxDhyqTshUuxWGD9euPeemEnE8BsZs0CmfhSVEXKXjhF\n0+ZNMZlM1f7p1WsTBw8+REBA9dtW98e7rKCoCL74QncO4arkmr1witMnT1c/x/t3d8EXV8KYxY45\nDanueB6ljEmTjDEJssyzqIyc2QvXcK4BfJIGtzxpTOsrauyBB4w3tXNydCcRrkjKXriGzU9C260Q\nulF3ErfVsCE88QSkpelOIlyRXMYR+p0Ogi8nwOheupO4vUcegQ4djJlCO3TQnUa4EjmzF/ptmAnR\ni6Dlj7qTuL2mTSElBf4ssyiIS0jZC70ORcGu38ONL+hO4jHGj4elS6GoSHcS4Uqk7IU+Cvj4FWME\naMNTutN4jKAguOcemDdPdxLhSqTshT67EqCkNVz/lu4kHmfiRHjzTWPtXiFAyl7oct7fmJ43fgL4\nWnWn8Tjt20N8PCxYoDuJcBVS9kKPLX+ElnkQtlZ3Es/gw2UjiJcsuY7Jkw9iMjWs82jkqv40bd5U\n91cu7CS3XgrnO9sSPp8KD92kO4nnKKOSEcPfwftbofMoiHmzXg57OvV0vbyucDw5sxfOl50KXZdB\n4E7dSTxfv9mwaRJYfXUnEZpJ2QvnOhoB390Ncam6k3iHazZBk0Ow4w7dSYRmUvbCudb+GfrPgkbH\ndSfxHv1mwxdTjFtdhdeqtuyzsrKIiIggPDyctEom3Xj//feJioqiW7du9O3bl5yLZmGqbl/hZfYM\nhmPhEPu67iTeJXw1lPnBnnjdSYRGNsvearUybtw4srKyyM3NJSMjgx07dlTYpkOHDmzcuJGcnBym\nTZvGmDFj7N5XeBNfYwDV4KfA75zuMN7FR/12di+8ls2yt1gshIWFERoair+/P0lJSWRmZlbYpk+f\nPjRr1gyAXr16ceDAAbv3Fd5kNDQ5DJ0/0h3EO3VZBievgQJZwd1b2Sz7wsJCQkJCyh+bzWYKCwur\n3P6dd95h6NChtdpXeK7iYoDpEP+nX5fQE07na4Ub/gxfyHqP3srmffY1Wdptw4YNLFy4kE2bNtV4\n39TU1PKP4+LiiIuLs3tf4fpefBHgX9BGVtXQqvsi+Ow5OBIJreWSqrvJzs4mOzu71vvbLPvg4GAK\nCgrKHxcUFGA2my/bLicnh9GjR5OVlUWLFi1qtC9ULHvhWQoLYeFCgGm6o4gr/ge95hv33Q9/SHca\nUUOXngjPmDGjRvvbvIwTExNDXl4e+fn5lJaWsmzZMhISEipss3//fhITE3nvvfcICwur0b7C8736\nKowaBSDz7bqE2Ndh9++hOKT6bYVHsXlm7+fnR3p6OvHx8VitVpKTk4mMjGTBr7MrpaSk8Pzzz3Pi\nxAnGjh0LgL+/PxaLpcp9hfc4fhwWLYLt243SFy7gypMQ/Q78ZwIMeUJ3GuFEJqWU1qEWJpMJzRFE\nPZk5E/buNS7jmEymSuZuqWepOP+Yuo5bk2Oeagt/+Q4e6wSNj9X5uPL9q0dNu1NG0Ip6UVIC6ekw\naZLuJOIyTQ/BtcvB8pjuJMKJpOxFvVi4EPr1g4gI3UlEpfq+DFsehV8a604inETKXjjcuXPGgteT\n5ZZu19VqD4RugK2jdScRTiJlLxxu6VIIC4OePXUnETb1mw1fToDzV+hOIpxAyl44VFkZpKXBFJmG\nxfW12watv4eckbqTCCeQshcO9e9/Q4MGMHCg7iTCLhcWNymTKvB08i8sHEYpmDXLOKuvwWwZQqfQ\nbGh4EnberjuJqGdS9l6mafOm9bb4tI/PjfznP7u56y7fy54TLsqELG7iJWTBcS9z+uTp+hvw894U\niJwDPcouf66+jinqrnMmfPoS7L0ZOqzXnUbUEzmzF45xuBsURUHU33UnETXlo6Bvmixu4uGk7IVj\nfDEZer8KfqW6k4jauG4J/BQBhT10JxH1RMpe1N3x9vDDYOjxpu4korb8zkGfubBJRsJ5Kil7UXdf\nToSYN6Dhad1JRF1c/zbkx8FP4bqTiHogZS/q5nQQfJdkLIoh3FuDEmO++y+f0p1E1AMpe1E3Xz1u\nXO9tclR3EuEIvV6D3DvgVDvdSYSDSdmL2vu5KXwz2ljIWniGRseh+2L4z5O6kwgHk7IXtff1IxC+\nBlrs051EOFKfV2Dbw3C2he4kwoGk7EXtnGsAm5+AvnN0JxGO1uwARGQa890LjyFlL2pn+yho9zUE\nfac7iagPfecYK1mVXqk7iXAQKXtRc1ZfY6bEfrN1JxH1JXAnhHwJ25J1JxEOImUvai53BAQchKu/\n1J1E1Kd+s40xFFaZQssTSNmLmlEYc6jIWb3nM1ugxQ/GOArh9qTsRc3siQflA+GrdScRztBvtjHv\nUZlMU+3upOxFzVw4q5fvfe/Q8RPwLYW8W3UnEXUkZS/sV9AbTl4DXf6hO4lwlguLm3w+VRY3cXNS\n9sJ+X0yGG14GX6vuJMKZrl0BZwNhX3/dSUQdSNkL+xyJhAO9IXqR7iTC2XzKjPvuZXETtyZlL+yz\nabIxs6X/z7qTCB2i3oXD3Y0VyYRbqrbss7KyiIiIIDw8nLS0tMue37lzJ3369KFhw4bMnTu3wnOh\noaF069aN6Ohoevbs6bjUwrmKr4bdt0HsX3QnEbr4lUKfV41LecIt2RwtYbVaGTduHOvWrSM4OJjY\n2FgSEhKIjIws36ZVq1a89tprfPjhh5ftbzKZyM7OpmXLlo5PLpznP3+C6HfgypO6kwideiyAeT8a\nK5O13Ks7jaghm2f2FouFsLAwQkND8ff3JykpiczMzArbBAYGEhMTg7+/f6WvoZS8he/WSlrB9vuN\nszrh3RqehpgFxqha4XZsln1hYSEhISHlj81mM4WFhXa/uMlkYuDAgcTExPDWW2/VPqXQx/IYdPkA\nAg7rTiJcQa95xoja00G6k4gasnkZx2Sq28iZTZs20bZtW44ePcqgQYOIiIigf//Lb99KTU0t/zgu\nLo64uLg6HVc4yC+NjWluk/voTiJcRZOjxspkXz0OA5/WncarZGdnk52dXev9bZZ9cHAwBQUF5Y8L\nCgowm812v3jbtm0B41LP8OHDsVgs1Za9cCFbR0P79dDqB91JhCu5YS68+fWv8yOd0p3Ga1x6Ijxj\nxowa7W/zMk5MTAx5eXnk5+dTWlrKsmXLSEhIqHTbS6/Nnz17ltOnTwNQUlLC2rVrue6662oUTmh0\n3t94Y7bv5XdgCS/XIh/C1hgrlQm3YfPM3s/Pj/T0dOLj47FarSQnJxMZGcmCBQsASElJ4fDhw8TG\nxnLq1Cl8fHyYN28eubm5HDlyhMTERADOnz/PyJEjGTx4cP1/RcIxcu6DwFxot013EuGK+qXB39cC\n83QnEXaqdqLqIUOGMGTIkAqfS0lJKf+4TZs2FS71XNCkSRO+/fZbB0QUTlfmYyxOcttY3UmEqwr6\nDtp+A3kP6U4i7CQjaMXldt4ODYshNFt3EuHK4mYAz1JSojuIsIeUvajo4sVJZBpjYUvw18Am5smV\nHLcgZS8q2vs7KA2Azh/pTiLcwjO88gr89JPuHKI6Uvaioi+mGHfg+MjIZ2GPPdx9N7z0ku4cojpS\n9uI3B6+HnyKNQTNC2GnaNFi8GPLzdScRtkjZi998MQX6zAW/c7qTCDfSpg2MG2eUvnBdUvbC8FM4\n5MfB9W/rTiLc0MSJ8MknIHdbuy4pe2H48imIfR0ayH10ouYCAuDZZ2HqVN1JRFWk7AWcage5d0Cv\n13QnEW5szBjYvRvWr9edRFRGyl7A5ieg+2JodFx3EuHGrrgCXnwRJk+GsjLdacSlpOy93f+aw7aH\noc8rupMID3DXXaAULF+uO4m4lJS9t9vyqDGAqtkB3UmEB/DxgbQ0ePppOCc3dbkUKXtvVnolfDUe\n+s7RnUR4kAEDoGNHkMXpXIuUvTfb9jCEfAmBO3UnER5m9myYORN+XdJCuAApe29l9TMWju43W3cS\n4YGio+Hmm+EVeSvIZUjZe6vv7oYWP4LZojuJ8FAvvADz50NRke4kAqTsvVOZ6bdpjIWoJ+3bw/33\nG6Uv9JOy90Z5Q8G3FDp+ojuJ8HDPPAMZGfCDrFmvnZS9N5LFSYSTBAbCE08YpS/0krL3Ov3gTBu4\ndoXuIMJLPPkkbNwIX3+tO4l3k7L3OlOM++p9ZDy7cI7GjWH6dGMaBSVr4mgjZe9FcnIAoiHqXd1R\nhJd5+GE4cMCYBlnoIWXvRaZPB/g/8P9FdxThZfz9jaULZZI0faTsvURmJuTmAszXHUV4qcREaNDA\nuDtHOJ+UvRc4dQoeewwWLACQs3qhh8lkTJL27LPwi/w3dDopey/w7LMwcCDExelOIrzdTTdBly7w\nxhu6k3gfP90BRP2yWOCDD+C773QnEcIwa5Zx8vHgg9Csme403kPO7D3YuXMwejT8+c/QqpXuNEIY\nrrsOhgyBl1/WncS7VFv2WVlZREREEB4eTlpa2mXP79y5kz59+tCwYUPmzp1bo31F/Xr1VWjTBu69\nV3cSISp6/nn461/h0CHdSbyHzbK3Wq2MGzeOrKwscnNzycjIYMeOHRW2adWqFa+99hoTJ06s8b6i\n/vz4I8yZY3xDmWRaBOFirr7auPd+xgzdSbyHzbK3WCyEhYURGhqKv78/SUlJZGZmVtgmMDCQmJgY\n/P39a7yvqB9KwdixMGkSdOigO40QlZs6FVasgF27dCfxDjbLvrCwkJCQkPLHZrOZwsJCu164LvuK\nulmyxJhD/MkndScRomotW8LEicZ6taL+2bwbx1SH3/9rsm9qamr5x3FxccTJPYK1duyY8Q2UmWmM\nWhTClY0fD506webN0Lu37jSuLTs7m+zs7Frvb7Psg4ODKSgoKH9cUFCA2Wy264Vrsu/FZS/q5qmn\n4K67oGdP3UmEqN6VVxrX7SdNgs8+k/eXbLn0RHhGDd/wsHkZJyYmhry8PPLz8yktLWXZsmUkJCRU\nuq26ZDq7muwrHGPDBli3TlYGEu7lgQeM30hXr9adxLPZPLP38/MjPT2d+Ph4rFYrycnJREZGssAY\nd09KSgqHDx8mNjaWU6dO4ePjw7x588jNzaVJkyaV7ivqx88/Q0oKpKdDQIDuNELYz8/PGGg1ZQrc\ncgv4+upO5JlM6tJTcmcHMJku+61A1Nxzz8H33xt3N9hiMpkg1SmRKkrF+cfVcUxdx9VxzF+P64jv\nX6XgxhshOdkYWSuqV9PulOkSPEBurnE//bff6k4iRO1cmCQtKQnuvtu4li8cS6ZLcHNlZTBmjPEm\nV3Cw7jRC1N4NN0CPHvD667qTeCYpezf31ltG4T/yiO4kQtTdSy8ZI79PnNCdxPNI2buxQ4eM6Yvf\nfBN85F9SeIDISBg2DGbP1p3E80hFuLHHHzcu4XTtqjuJEI4zfTq8/TZcNExHOICUvZtatQq2bTPO\n7IXwJMHBxm3EMtbSseRuHDd05gz88Y+wcKHctSA806RJxjQK339vrGwl6k7O7N3QtGnGEoMDBuhO\nIkT9aN7cGGQ1daruJJ5Dyt7NfP01ZGTAJevECOFx/vhHyMmBzz/XncQzSNm7kfPnjWUGX34ZrrpK\ndxoh6leDBjBzJkyebIywFXUjZe9G5s0z1pK97z7dSYRwjnvvhZISY8puUTdS9m4iP9+YLOqNN2Qa\nWOE9fH2Ne+6nTjV+sxW1J2XvBi4sMzhhAoSF6U4jhHPdcgu0bQuLFulO4t6k7N3AsmVw4ICxApUQ\n3ubCJGmpqXD2rO407kvK3sWdOAF/+pMxB44sMyi8VWws9O1rvG8lakfK3sVNmgSJibI+pxAvvmjc\ncnzsmO4k7knK3oVt3Ahr1hgzAQrh7cLDjbnuX3xRdxL3JNMluKhffjEmOXvtNWjaVHcaIarg8+vq\nZ07TGshlwVsJlJze5MTjuj8pexc1ezZERMDw4bqTCGFDGU5eDvEIfP8IZz/4Bz/+CB06OPPY7k0u\n47ignTuNM/r0dN1JhHBBXZYDLzB4MBQV6Q7jPqTsXcyFZQanTwezWXcaIVzVG9x/v3EP/smTurO4\nByl7F7NwoXG9/tFHdScRwrU995yxbu2wYfDzz7rTuD4pexdSVARPP23cU+/rqzuNEK7NZIL586F1\na2MOHatVdyLXJmXvQp54Ah5+GLp1051ECPfg6wvvvgunThlTisjsmFWTsncRa9aAxWL8aiqEsF+D\nBvDPf8LWrfL9Y4vceukCSkqMa/QLFkCjRrrTCOF+AgKME6Z+/SAwEMaP153I9UjZu4DUVOM/6eDB\nupMI4b4CA+Hjj6F/f2Nxn3vv1Z3ItXh92Y9+dDRbt291+nHjB8Tz0vMvsW2bcc3xu++cHkEIjxMa\napzhDxhgLPQTH687keuotuyzsrJ44oknsFqt/OEPf2Dy5MmXbTN+/HjWrFlDo0aN+Nvf/kZ0dDQA\noaGhNG3aFF9fX/z9/bFYLI7/Curoo399xJHYIxDgxIMWwbezvmXWzDTgKyCd1q0XOzGAEJ6ra1dY\nudK4JXPVKujVS3ci12Cz7K1WK+PGjWPdunUEBwcTGxtLQkICkZGR5dusXr2aPXv2kJeXx1dffcXY\nsWPZvHkzYMyZkZ2dTcuWLev3q6irEMCZEX2h7HwZxD8Ou07BqMXgrOlFUp10HCE06tvXWOzk9tth\nwwa4qLK8ls27cSwWC2FhYYSGhuLv709SUhKZlywG+dFHHzFq1CgAevXqRXFxMUUXjWFWci9UFULg\n82fgtkecV/RCeJHbboM5c4xRtgUFutPoZ7PsCwsLCQkJKX9sNpspLCy0exuTycTAgQOJiYnhrbfe\ncmRu96YAXode8+CqPN1phPBYDzxg3JkTHy/z4Nu8jGPv1KVVnb1/8cUXtGvXjqNHjzJo0CAiIiLo\n379/zVN6kjITbH0BCIW+d+hOI4THmzDBGJ1+222wbh00bqw7kR42yz44OJiCi37/KSgowHzJ7FyX\nbnPgwAGCg4MBaNeuHQCBgYEMHz4ci8VSadmnpqaWfxwXF0dcXFyNvxC38EtjWPkeFLcEbga/c7oT\nCeEV0tKM0ekjRsBHH7nnEp/Z2dlkZ2fXen+bZR8TE0NeXh75+fm0a9eOZcuWkZGRUWGbhIQE0tPT\nSUpKYvPmzTRv3pygoCDOnj2L1WolICCAkpIS1q5dy/Tp0ys9zsVl77FOXANLM6HdFuh1F7wrRS+E\ns5hMxpxTw4fDQw8Ztzv7uNn8AZeeCM+YMaNG+9ssez8/P9LT04mPj8dqtZKcnExkZCQLFiwAICUl\nhaFDh7J69WrCwsJo3LgxixYtAuDw4cMkJiYCcP78eUaOHMlgbx01tK8vfPAB9JsNvebDft2BhPA+\nfn6wbJlx/X7CBHjlFeOHgLeo9j77IUOGMGTIkAqfS0lJqfA4vZJVNjp06MC3335bx3geYOtDsG42\nJN4PYWt1pxHCqzVqZFzGufFG49LOlCm6EzmP14+grTdWX/hkDuy+DR7uD1ft1p1ICAG0aGFMq9C3\nrzGtwh/+oDuRc7jZVSs38XNTyPgXHLkORveSohfC0X5d6Ly2f4KDTeTnd2L06EOYTMPs2qdp86a6\nv+o6kTN7RzsWBhkfQYdPIP5P4CsrKgjhcA5Z6DwPDt4G762Bu05A6EabW59OPV3XA2olZ/aO9MMA\nWPgF9P5Bvk3zAAAL+ElEQVQ/GPq4FL0Qrq7dVhiRBB/8Aw579qpBUvaOYnnUuId+xN0Q86buNEII\ne3XYAEP/CO+vhuPtdaepN3IZp66sfrBmPuzrD8k3QMu9uhMJIWqqywo4Gwh/XwsP94OAour3cTNy\nZl8XZ1sa/zlOmaXohXB3sW9A1Lvw/hrjJgsPI2VfW0ci4a2vINgCScOgoXu/eSOEAG6aCSGbYOmH\ncK6B7jQOJWVfG7uHwt+y4abnYdAU8CnTnUgI4QgmYMjj0PgIrFgCZZ5TkZ7zlTiDAjZNgH+9Cffc\nDt3/rjuREMLRfMpg+ANQGgCr/vrrlOTuT8reXuevgA8XwX/vhT/0hpDNuhMJIeqLXyncnQiHo2H9\nTN1pHELK3h5nWsPfNkBpE2Pqg2YHdCcSQtS3Bmdg5FDIvRM2P6Y7TZ3JrZfVOdTdeLOm+yLjGr2P\nh/xOJ4SoXuOf4P7BxmBJU4ndCzo5UkCzAE4Vn6rz60jZ25KbCKvegFsfhS7LdacRQujQfD/cdwv8\nJQOCHjOmKr92udNGyDtqmga5jFMZBXz2LGS9CvfFS9EL4e1a5wJRMOAZ2PJHSN8FW1Lc6vZMKftL\nlV4JyzNg963GjJXttulOJIRwFZ1Ww8M3wrBRkHcrzNsLn092i0FYUvYXO9UOFm0E33PwYBwEHNad\nSAjhiq7ZBPcmGNfzj3aBeT/CJ7PgdJDuZFWSsr/gQKwxIrbLB8Y9tv6/6E4khHB1Qd9B4gMwpodx\nt97rubDqL3C8g+5kl5GyB9h1DyxZBbeNhX5zjFF0Qghhrxb74NbHYFwEXHnMOHFcvgQORelOVs6r\ny76sDM6cfBr+8wKMuhk6r9IdSQjhzpochQHT4PEO0PYbWPJveG815N+ofSSuV5e9yQQ+Psfhrl4Q\n9L3uOEIIT9HwNPSda5R+5Er46G14ZxPs/D2U6bl04PVl3yjgDWj0k+4oQghP5FcKPd42Lu/0eRU+\nmw5//S98e7+xFoYTeXXZCyGEU/iUGeN1xsTALU/A9lEwf48xDUNpI+dEcMpRhBBCGDd/dFwHowbC\nnXfCvpvg//ZC9jQ426JeDy1lL4QQOpi3wN0j4KGboDjUONP/+M9wMrheDidlL4QQOgXuhGHJMDYK\nlAn+mgOZb8NPnRx6GCl7IYRwBc0OwC0TYHw4NNsHCz+HZcuBax3y8lL2QgjhShodh7iZ8ER7uGYj\nEOCQl6227LOysoiIiCA8PJy0tLRKtxk/fjzh4eFERUWxbdu2Gu0rhBCiElechd7zga8c8nI2y95q\ntTJu3DiysrLIzc0lIyODHTt2VNhm9erV7Nmzh7y8PN58803Gjh1r975uZa/uAHaSnI7lDjndISNI\nTs1slr3FYiEsLIzQ0FD8/f1JSkoiMzOzwjYfffQRo0aNAqBXr14UFxdz+PBhu/Z1K/m6A9gpX3cA\nO+XrDmCnfN0B7JCvO4Cd8nUHsFO+7gD1w2bZFxYWEhISUv7YbDZTWFho1zYHDx6sdl8hhBDOYXO8\nrr3rLSrlvuuy+vn60eTjJvhcYfvti5+Lfqbh8YYOOaa1xEoJJQ55LSGEsIfNsg8ODqagoKD8cUFB\nAWaz2eY2Bw4cwGw2c+7cuWr3BejYsaOWRXxro/RIqWNfMNWxL1fuM03Hrc6lx60uZ30cszZqk9MR\nx3WHY9b0uI78N6/JcWuqqpz1eUwbKuvIjh071ug1bJZ9TEwMeXl55Ofn065dO5YtW0ZGRkaFbRIS\nEkhPTycpKYnNmzfTvHlzgoKCaNWqVbX7AuzZs6dGgYUQQtSczbL38/MjPT2d+Ph4rFYrycnJREZG\nsmDBAgBSUlIYOnQoq1evJiwsjMaNG7No0SKb+wohhHA+k3LnC+5CCCHs4vQRtMXFxYwYMYLIyEiu\nvfZavvrKGDDw2muvERkZSdeuXZk8ebKzY9nMuHnzZpKSkoiOjiY6Opr27dsTHR2tNWNVOS0WC7Gx\nsURHRxMbG8uWLVt0x6w05/bt2+nTpw/dunUjISGB06dPa824a9eu8n/f6OhomjVrxvz58zl+/DiD\nBg2iU6dODB48mOLiYpfLOW/ePJYvX06XLl3w9fVl69atWjPayvnUU08RGRlJVFQUiYmJnDx50iVz\nPvfcc0RFRdG9e3cGDBhQ4f1HV8g4f/788ufnzp2Lj48Px48ft/1CyskeeOAB9c477yillDp37pwq\nLi5W69evVwMHDlSlpaVKKaWOHDni7FgVVJbxYhMmTFAzZ87UEa2CynLedNNNKisrSyml1OrVq1Vc\nXJzOiEqpynPGxMSojRs3KqWUWrhwoZo2bZrOiBVYrVbVpk0btX//fvXUU0+ptLQ0pZRSs2fPVpMn\nT9ac7jcX59yxY4fatWuXiouLU998843uaBVcnHPt2rXKarUqpZSaPHmyy/59njp1qvzz8+fPV8nJ\nyRqT/ebijEoptX//fhUfH69CQ0PVsWPHbO7r1LIvLi5W7du3v+zzd955p/r000+dGaVKVWW8oKys\nTIWEhKg9e/Y4MdXlqsqZlJSkli1bppRSasmSJWrkyJHOjlZBVTmbNWtW/vH+/fvVtdde68xYNn38\n8ceqX79+SimlOnfurA4fPqyUUurQoUOqc+fOOqNV8PHHH6u+fftW+Jwrln1lOZVSauXKldr/f16s\nqpwvvfSSy/xQujTjiBEj1Pbt2+0qe6dextm7dy+BgYE89NBDXH/99YwePZqSkhLy8vLYuHEjvXv3\nJi4ujq+//tqZsarNePbs2fLnP//8c4KCgmp825OjVZVz9uzZTJgwgauvvpqnnnqKWbNmuVzOkpIS\nunTpUj6i+oMPPtD6a/Klli5dyj333ANAUVERQUFBAAQFBVFUVKQzWgVLly7l3nvv1R2jWlXlXLhw\nIUOHDtWQqHKX5nzmmWe4+uqrWbx4MVOmTNGY7DcXZ8zMzMRsNtOtWzf7dq7vn0QX27Jli/Lz81MW\ni0UppdTjjz+unn32WdW1a1c1fvx4pZRSFovF5pm1jowXX2J45JFH1CuvvKIrXrmq/i4HDBigVq5c\nqZRS6h//+IcaOHCgzphV/n3u3LlTDR48WPXo0UPNmDFDtWrVSmvOC3755Rd11VVXlV9KbN68eYXn\nW7RooSPWZS7NeYGrndlXlfOFF15QiYmJmlJdrqqcSik1a9Ys9eCDD2pIVdHFGUtKSlTPnj3VyZMn\nlVJKhYaGqp9++snm/k4t+0OHDqnQ0NDyx59//rm69dZb1ZAhQ1R2dnb55zt27Fht8PpSVUaljOvN\nQUFBqrCwUEu2i1WWc+jQoSogIKD8c2VlZapp06Y64pWz9fd5wa5du1TPnj2dHa1SH374oYqPjy9/\n3LlzZ3Xo0CGllFIHDx50mcs4l+a8wNXKvrKcixYtUjfccIP63//+pynV5ar6+1RKqX379qkuXbo4\nOdHlLs6Yk5OjWrdurUJDQ1VoaKjy8/NT11xzjSoqKqpyf6dexmnTpg0hISHs3r0bgHXr1tGlSxdu\nv/121q9fD8Du3bspLS2lVatWzoxWbcYLH0dGRtKuXTst2S5WVc7w8HA++8wY/rd+/Xo6dXLsajc1\nVVXOo0ePAlBWVsYLL7xQPluqbhkZGeWXcMAYNLh48WIAFi9ezLBhw3RFq+DSnBdTLnQ39aU5s7Ky\nePnll8nMzKRhQ8dMP+IIl+bMy8sr/zgzM9Ml7r67OON1111HUVERe/fuZe/evZjNZrZu3Urr1q2r\nfgEn/VAq9+2336qYmBjVrVs3NXz4cFVcXKxKS0vVfffdp7p27aquv/56tWHDBmfHqjajUko9+OCD\nasGCBVqzXayynFu2bFE9e/ZUUVFRqnfv3mrr1q26Y1aac968eapTp06qU6dOaurUqbojKqWUOnPm\njGrVqlWFOzGOHTumBgwYoMLDw9WgQYPUiRMnNCY0VJZz5cqVymw2q4YNG6qgoCB1yy23aExoqCxn\nWFiYuvrqq1X37t1V9+7d1dixYzUmNFSW84477lBdu3ZVUVFRKjEx0eYZszNUlvFi7du3r/YNWhlU\nJYQQXkCWJRRCCC8gZS+EEF5Ayl4IIbyAlL0QQngBKXshhPACUvZCCOEFpOyFEMILSNkLIYQX+H+a\n6wOHaRjFVwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10993c790>"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "!ls *.png"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "hist.png\r\n"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy.stats import gaussian_kde"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 24
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "y = x[:,1]\n",
      "density = gaussian_kde(y)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 25
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xs = np.linspace(y.min(),y.max(),30)\n",
      "plot(xs, density(xs))\n",
      "xlabel('y')\n",
      "ylabel('f(y)')\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 26,
       "text": [
        "<matplotlib.text.Text at 0x10ac8e410>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEPCAYAAABcA4N7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10ac78fd0>"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xs = np.linspace(y.min()*.8,y.max()*1.2,30)\n",
      "plot(xs, density(xs))\n",
      "xlabel('y')\n",
      "ylabel('f(y)')\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 27,
       "text": [
        "<matplotlib.text.Text at 0x10ae0b310>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEPCAYAAABcA4N7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkaUQgFgMojQAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10ae02a90>"
       ]
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "There is a lot more to matplotlib. One can visit the [gallery](http://matplotlib.org/gallery.html) and pull examples in to get a sense of what is possible, and how to adapt examples for your own purposes.\n",
      "\n",
      "\n",
      "For now we move on to generating choropleth maps."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 27
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}