04_Plotting.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the plotting tutorial we will utilize MatPlotLib 'the' Python plotting library (though lots of new kids are on the block these days).\n",
    "\n",
    "This notebook was create by Sergio Rey and included in the current Python Spatial Analysis Library (PySAL) tutorial."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "from osgeo import gdal"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## X,Y Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10513a490>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYh8RMQT+P0ylrFZbpfXdAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104f62ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d = np.linspace(1,10,200)\n",
    "I = np.exp(-d)\n",
    "plot(d,I)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x104fa5150>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEPCAYAAABcA4N7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nLwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10516ad50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d = np.linspace(1,10,200)\n",
    "I = np.exp(-d)\n",
    "plot(d,I)\n",
    "ylabel('I')\n",
    "xlabel('d')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1052abf50>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEPCAYAAABsj5JaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xu8XGV97/HP1wTEgAJyEYlRKKJCBRrUiHIxauAEvEC1\nFVN9YZXa1DaV3izai8Z6Wo991VP0eGoR0aKi4RQB8YJcqltRlCQQAkgCBEglATEKIhejgXzPH2tt\nmWz23pmZPTPPzOzv+/Wa18yatZ61fpPL/Oa5rOeRbSIiIlr1hNIBRETEYEoCiYiItiSBREREW5JA\nIiKiLUkgERHRliSQiIhoS5EEImmhpLWSbpV0+iTHvUjSI5Je32rZiIjorp4nEEkzgI8BC4GDgUWS\nDprguA8BX2+1bEREdF+JGsg8YJ3t9ba3AMuAE8c57k+B84FNbZSNiIguK5FAZgN3NmxvqN/7NUmz\nqRLDx+u3Rm+X327ZiIjojRIJpJm5U84A3u1qnhXVj2bLRkRED8wscM2NwJyG7TlUNYlGLwCWSQLY\nEzhe0pYmyyIpiSYiog22tf2jHju4pw+qpHUbsB+wI3AdcNAkx38aeF0rZauP1dvP1cTnXlo6hkGJ\nKzElpukQV5/G5FaO73kNxPYjkpYAlwIzgLNtr5G0uN5/ZqtlexF3RERsq0QTFrYvAS4Z8964icP2\nW7dXNiIiei93ovfOSOkAJjBSOoBxjJQOYBwjpQMYx0jpAMYxUjqACYyUDmAcI6UDmCrV7V5DRZLd\nSkdQRES0/N2ZGkhERLQlCSQiItqSBBIREW1JAomIiLYkgURERFuSQCIioi1JIBER0ZYkkIiIaEsS\nSEREtCUJJCIi2pIEEhERbUkCiYiItiSBREREW4Y2gUjsWTqGiIhhNrQJBDisdAAREcMsCSQiItoy\nzAnkt0oHEBExzIokEEkLJa2VdKuk08fZf6Kk1ZJWSbpG0isa9q2XdH29b/kkl0kNJCKii3q+pK2k\nGcDNwAJgI7ACWGR7TcMxO9t+qH59CHCh7WfX23cAL7B97yTXMHgzsKvNr7r3aSIihscgLGk7D1hn\ne73tLcAy4MTGA0aTR20X4CdjztHMB7wdOHgqgUZExMRKJJDZwJ0N2xvq97Yh6SRJa4BLgHc27DJw\nhaSVkt4+yXVWk36QiIiuKZFAmmozs32R7YOA1wCfbdh1pO25wPHAn0g6eoJTrALmTinSiIiY0MwC\n19wIzGnYnkNVCxmX7SslzZS0h+2f2r67fn+TpAupmsSufHzJFz0fXjpf+uh9wIjtkQ5+hoiIgSdp\nPjC/7fIFOtFnUnWivxK4C1jO4zvRDwBut21JhwP/afsASbOAGbYfkLQzcBnwftuXjbmGwXsA64Hd\nbLb25MNFRAywVjvRe14Dsf2IpCXApcAM4GzbayQtrvefCbweOEXSFuBB4I118X2ACySNxn7u2OTx\n2HW4V+Je4NnALd38TBER01HPayC9MJpFJS4AzrM5r3RMERH9bhCG8fbStcDhpYOIiBhGw55AVpEE\nEhHRFcOeQK4F5kpN3XgYEREtGOoEYnM3sAV4ZulYIiKGzVAnkNoK4EWlg4iIGDZJIBER0ZbpkkDm\nlQ4iImLYDPV9INVr9qSamTd3pEdETCL3gYxh8xOq6eCfWzqWiIhhMvQJpJZ+kIiIDpsuCWQ5SSAR\nER01XRJIaiARER029J3o1Ta7APcAu2eN9IiI8aUTfRw2DwJ3AM8vHUtExLCYFgmklmasiIgOmm4J\nJDcURkR0yHRLIKmBRER0yLToRK/e44nAfcBeNg+ViSwion+lE30CNr8EbgTmlo4lImIYFEkgkhZK\nWivpVkmnj7P/REmrJa2SdI2kVzRbdjvSDxIR0SE9b8KSNAO4GVgAbKT6Ul9ke03DMTvbfqh+fQhw\noe1nN1O2LjNuNUziTcBJNr/bnU8XETG4BqEJax6wzvZ621uAZcCJjQeMJo/aLlSTITZVdjuuAl6a\nJW4jIqauRAKZDdzZsL2hfm8bkk6StAa4BHhnK2UnsZ7qMz+rhTIRETGOmQWu2VSbme2LgIskHQ18\nVtLzWrmIpKUNmyO2R2wsVbUQqmQSETFtSZoPzG+3fIkEshGY07A9h6omMS7bV0qaCTy1Pq6psraX\nTnDK0QTy+eZDjogYPrZHgJHRbUnva6V8iSaslcCBkvaTtCNwMnBx4wGSDpBUryiowwFs/7SZsk0Y\nTSARETEFPa+B2H5E0hLgUmAGcLbtNZIW1/vPBF4PnCJpC/Ag8MbJyrYYwrXAcyR2qSdZjIiINkyb\nO9G33c93gPfafKOHYUVE9LVBGMbbD64CjiwdRETEIJvOCST9IBERUzBdm7CeBqwF9rDZ2rvIIiL6\nV5qwmmBzD/BT4KDSsUREDKppmUBqacaKiJiC6ZxAvksSSERE26Z7Ajm6dBAREYNqOieQm4DdJJ5R\nOpCIiEE0bRNIPfrq28DLSscSETGIpm0CqY2QBBIR0ZYkkClMZRwRMZ1N9wRyI7CHxL6lA4mIGDTT\nOoGkHyQion3TOoHURkgzVkREy5JA4FskgUREtCwJBK4H9pJ4eulAIiIGybRPIOkHiYhoz7RPILU0\nY0VEtCgJpDJCaiARES0pkkAkLZS0VtKtkk4fZ/+bJK2WdL2k70o6tGHf+vr9VZKWdyik64F9JPbp\n0PkiIoZezxOIpBnAx4CFwMHAIkljF3a6HTjG9qHAB4BPNOwzMN/2XNvzOhGTzaNUtZBXduJ8ERHT\nQYkayDxgne31trcAy4ATGw+w/T3b99ebV8PjZsxtesnFFlwGHNeF80ZEDKUSCWQ2cGfD9ob6vYmc\nCnytYdvAFZJWSnp7B+O6DDhW6kpyiogYOjMLXNPNHijp5cDbgCMb3j7S9t2S9gIul7TW9pXjlF3a\nsDlie2TSoMxtEpuB36SaIysiYqhJms8URqCWSCAbgTkN23OoaiHbqDvOzwIW2r5v9H3bd9fPmyRd\nSNUk9rgEYntpG7GNNmMlgUTE0Kt/WI+Mbkt6XyvlSzRhrQQOlLSfpB2Bk4GLGw+Q9EzgAuDNttc1\nvD9L0pPr1ztTfdnf0MHYLgOO7eD5IiKGVs9rILYfkbQEuBSYAZxte42kxfX+M4H3ArsDH5cEsKUe\ncbUPcEH93kzgXNuXdTC8bwDnSOxks7mD542IGDqym+6SGBiSbLutznCJ7wF/Z/NfHQ4rIqKvtfrd\nmTvRHy/NWBERTWi6BlL3ObwJeD5V09NOwFbgQeD7wH/a3tqlOFsyxRrIUcBHbQ7vcFgREX2t1e/O\nphKIpGOp7hr/iu3bxuwTcBiwALjC9nWthdx5U0wgOwCbgANtNnU2soiI/tXxBCJpJ+D5tlc2cfFD\nbHdyVFRbppJAqvJcBJxn84UOhhUR0de6VQO5AVgH/BxYQTW9yHXAEcDetr/YXrjd0YEE8g7gJTan\ndDCsiIi+1q0EcqDtWyXNAt5D1e9xKLALcLvtP2834G7oQAJ5JnANsE890WJExNBr9buzqftAbN9a\nPz8saZ3tc+qL7ciYiRCHgc0PJe4CXgxcVTqeiIh+1M4w3i2S/kPS64ADefxMucPiK8CrSwcREdGv\n2rqRUNJzgTcDuwGfsb2i04FNxVSbsKpz8BLgEzaHdCisiIi+1pU+kEHToQQyA7gbmGezviOBRUT0\nsZ7diS7pd9otOwjqzvOvAa8qHUtERD+aylQmO3csiv71FeA1pYOIiOhHmQtrcpcBR0rsUjqQiIh+\nkwQyCZufU83ztaB0LBER/SYJZPvSjBURMY6pJJDhG741vq8Ar65HZUVERG0qCeT8jkXRx2xuA34E\nHFk6loiIfrLdBCLpiZL2HPu+7YfHOfaZnQqsz5wPvL50EBER/WS7CcT2L4EjJP2epCeNd4yk3SX9\nIfCsTgfYJ84HXi+lzygiYlQrKxI+HXgrsDfVaoQ7AI8CDwMbgLNs39/kuRYCZ1CtbPhJ2x8as/9N\nwF8DAh4A3mH7+mbK1sdM+U70x5+Tm4C32Xy/k+eNiOgXPZnKRNITgL2AH7vFE0iaAdxMNTR2I9X6\nIotsr2k45iXATbbvrxPGUttHNFO2Lt+NBPIPwJNs3tXJ80ZE9IuuT2UiaT6wCvgScI2kF7Z4innA\nOtvrbW8BljFmSnjb32uozVzNYzP+brdsF30R+B2JjiamiIhB1U6b/jHAC20fQfWF3uqU57OBOxu2\nN9TvTeRUqjmp2inbSdcDjwBze3S9iIi+1tSCUmP8oP71j+1HJF0DIGmu7VVNlG+6yUvSy4G38dgQ\n2lbKLm3YHLE90mzZ8dhYqmohwLVTOVdERD+oW5Tmt1u+nQTyd5LeCWyl6sjeR9JfAAcAzQzj3QjM\nadieQ1WT2IakQ4GzgIW272ulLIDtpU3E0qrzgc9L/K09bW6kjIghVf+wHhndlvS+Vsq3k0A+bvsT\nDRd8iu2f1yOnmrESOFDSfsBdwMnAosYD6vtJLgDebHtdK2W77BpgR+AQqiatiIhpq50+kP3HbP9P\nANvnNlPY9iPAEuBS4CbgPNtrJC2WtLg+7L3A7sDHJa2StHyysm18hrbUtY7z6G3SiojoSy0P45X0\nJaqmpdXAPwP72n5ZF2JrWzeG8T52bg4Fvgzsb7O1G9eIiCihFysS/jFwENUw3v/bb8mj22yuB+4H\njiodS0RESe0kkGupbiA8HNhB0nc6HNMgOBdots8nImIotZNA3m37HADb36S6wW66+QLV3FhPLB1I\nREQp7U5lMoNqTfRfjN4T0k+62Qfy2DX4FvCvNhd18zoREb3Si6lM/oiqCec0YFdJv9vqOYbE50gz\nVkRMY+00Yd1r+43Acts/afMcw+B84DiJXUsHEhFRQjtf/odJWgDsK+kY4MAOxzQQbO4DvkEWmoqI\naaqd+0BmAe8DDqO6M/v9tn/Vhdja1os+kOo6vA74M5tjun2tiIhu69V6ILvZ/pmk3RvmqeobPUwg\nOwI/BI6xuaXb14uI6KZe3EgI8Jb6+ZQ2yw8Fm18Bn6Gacj4iYlqZrh3gnXQ28BaJHUoHEhHRS0kg\nU2RzM3ALrS+sFREx0JJAOuOTwB+UDiIiopeSQDrjfOAl0jaLXUVEDLUkkA6weRhYBvx+4VAiInqm\n3QRy+ZjnqJqxTpWYUTqQiIheaCuB2L6p8TnArqa5B04oHUtERC80lUAkva3bgQyJjwLvLB1EREQv\nNHUnuqQfA18FrgaWA6ttP1rv28/2+m4G2ape3Yn++OvyROC/gVfYpHYWEQOlW3eifxg4B9gV+Bvg\nJknflfSvwAfbCHKhpLWSbpV0+jj7nyfpe5I2S/rLMfvWS7pe0ipJy1u9djfZ/BI4E1hSOpaIiG5r\ntgYijzlQ0j7Ai4Elto9t+oLVYlQ3AwuAjcAKYJHtNQ3H7AU8CzgJuM/2hxv23QG8wPa9k1yjSA2k\nujb7Aj8A9rf5WYkYIiLa0ZUayNjkUb/3I9tfAj7QQnwA84B1ttfXqxkuA04cc+5NtlcCE612WCQ5\nNMPmLuAS4K2lY4mI6KYp3wdi+9stFpkN3NmwvaF+r+lLAldIWinp7S1eu1c+CizJkN6IGGYzC1yz\n9fnjt3Wk7bvrZq7LJa21feXYgyQtbdgcsT0yxeu24mrgXuBVwMU9vG5ERNMkzQfmt1u+RALZCNtM\n+TGHqhbSFNt318+bJF1I1ST2uARie+nUwmyfjSX+BfhrkkAiok/VP6xHRrclva+V8iWmMlkJHChp\nP0k7Aicz8ZfsNn0dkmZJenL9emfgOOCGbgY7BV8E9pE4qnQgERHd0NaKhFO+qHQ8cAYwAzjb9gcl\nLQawfWY9wmsF8BRgK/AAcDCwN3BBfZqZwLm2HzeMuOQorG3jYDHwGjtTvUdE/+vJkrb9ro8SyE7A\n7cD/sPu2phQRAfRuSdtogs1m4CNUfSEREUMlNZAuk9gVuA14oc36wuFEREwoNZA+Y3M/cBbwV6Vj\niYjopNRAekBib2ANcJjd/JDliIheSg2kD9n8mKoW8relY4mI6JTUQHpEYg+qSSRfZHNH6XgiIsZK\nDaRP2fwU+Dfg70vHEhHRCamB9JDEbsCtwJE2t5SOJyKiUWogfaxeH+QjQEvzzURE9KPUQHpM4snA\nOuA4m9Wl44mIGJUaSJ+zeQD4B+DDUv8ujBURsT1JIGV8gmoRrRNKBxIR0a4kkAJstgDvAv5FYofS\n8UREtCMJpJyvUi2u1a/L8kZETCqd6AVJHAZcBjynnjMrIqKYrAfC4CQQAIlPAj+3+YvSsUTE9JYE\nwsAlkL2AHwDHZlhvRJSUYbwDxmYT1SSLH5fy9xERgyNfWP3h7Pr51KJRRES0oEgCkbRQ0lpJt0o6\nfZz9z5P0PUmbJf1lK2UHkc1W4B3AP9ZNWhERfa/nfSCSZlBNa76AahjrCmCR7TUNx+wFPAs4CbjP\n9oebLVsfNzB9II0k/jewh81bSscSEdPPIPSBzAPW2V5vewuwDDix8QDbm2yvBLa0WnbAvQ84Rsod\n6hHR/0okkNnAnQ3bG+r3ul2279XzZJ0KfEJi99LxRERMZmaBa06lzazpspKWNmyO2B6ZwnV7xuYb\nEhcBZ0CasiKieyTNB+a3W75EAtkIzGnYnkNVk+hoWdtL2wmuT5wOrJZ4rc3FpYOJiOFU/7AeGd2W\n1NJaRSWasFYCB0raT9KOwMkw4Zfk2M6cVsoOLJuHgLdS3RuyZ+l4IiLGU+ROdEnHUzXRzADOtv1B\nSYsBbJ8paR+qEVZPAbYCDwAH235wvLLjnH8gR2GNJfHPwEHAa+0pNf1FRGxXpjJhqBLIjsCVwBds\nzigdT0QMtyQQhieBAEj8BvB94Hiba0rHExHDaxDuA4kW2NwOLAHOk3hK6XgiIkalBjIgJM4Engq8\nIf0hEdENqYEMr9OAZwLvLh1IRASUuQ8k2mCzWeJ1wHKJ1TZfKx1TRExvqYEMEJuNwO8C/yHxnNLx\nRMT0lgQyYGyuolqA6uLMlxURJSWBDCCbs4CvAhdJ7FQ6noiYnjIKa0DVy98uo5pgclG9KFVERNsy\nCmuaqBPGKcC+wIcKhxMR01ASyACz2Uy1oNarJN5VOp6ImF4yjHfA2dwrcSzwbYnNNv+ndEwRMT0k\ngQwBm40Sr+CxJHJW6ZgiYvglgQwJm/+WeCUwIvErm3NKxxQRwy0JZIjYrJNYAFwuMcvm46Vjiojh\nlQQyZGzWSrwMuELiyTb/XDqmiBhOSSBDyOZ2iaOpkshTgL/PDL4R0WkZxjuk6nmzjgEWAp+qVzeM\niOiYIglE0kJJayXdKun0CY75aL1/taS5De+vl3S9pFWSlvcu6sFjswl4GbAHcInEboVDiogh0vME\nImkG8DGqX8YHA4skHTTmmBOAZ9s+EPhD2KYz2MB823Ntz+tR2APL5iHgt4Ebge9K7F84pIgYEiVq\nIPOAdbbX295CNZ/TiWOOeS1Uw1BtXw3sJulpDfuHep6rTrN51OY04N+B70scVzqmiBh8JRLIbODO\nhu0N9XvNHmPgCkkrJb29a1EOofou9TdQrSfyHimJOCLaVyKBNDsaaKIvt6NszwWOB/5E0tGdCWt6\nsPkW8CKqWt6FEnsUDikiBlSJYbwbgTkN23OoahiTHfOM+j1s31U/b5J0IVWT2JVjLyJpacPmiO2R\nqQY+LOqpT+YD/wSskjjFZqRsVBHRa5LmA/PbLt/r9UAkzQRuBl4J3AUsBxbZXtNwzAnAEtsnSDoC\nOMP2EZJmATNsPyBpZ+Ay4P22LxtzjaFfD6RTpGqYL/Bp4P02vyocUkQU0vfrgdh+BFgCXArcBJxn\ne42kxZIW18d8Dbhd0jrgTOCP6+L7AFdKug64GvjK2OQRrbH5OjAXOAxYIXF44ZAiYkBkRcIAoO5Q\nfzPwYeAs4AP1eiMRMU30fQ0k+pONbT5LVRM5CLg+w30jYjKpgcS4JF4NfARYBfyFzQ8LhxQRXZYa\nSHSEzVeA5wM3UI3U+mCmQomIRkkgMSGbX9i8n6pZay/gFom/ktipcGgR0QeSQGK7bDbY/AHVxIxH\nUiWSt0nsUDi0iCgoCSSaZrPG5reBNwK/B6yTeKfEzoVDi4gCkkCiZTZX2SwAfodqzZE7JN4r8dTC\noUVEDyWBRNtsVti/TiLPAm6TOCs3I0ZMD0kgMWU2a21OBZ4H3EE1SePVEr8vMatweBHRJbkPJDpO\nYgbVbMnvAI4Avgh8DviOzdaSsUXExFr97kwCia6SmAMsopomZVfg88C5wA/spqf2j4geSAIhCaRf\nSRwKvIkqofwCuKh+XJ2aSUR5SSAkgfS7euLGw4GT6seewJeBS4Bv2vysYHgR01YSCEkgg0bi2VQr\nJB5HdaPiDVRrvVwOrMgaJRG9kQRCEsggq6dJOYoqmRwLHAisBL4LfAf4XmooEd2RBEISyDCR2JVq\nJNdRVLWTF1ENFb4KuAa4FrjR5pfFgowYEkkgJIEMs3r+rd8CXkq1kuLhwLOBW6iSybXAamCNzU9K\nxRkxiJJASAKZbiSeRDX1/OHAC+rXBwO/AtZQLZ08+nwrsMHm0TLRRvSvJBCSQOLXI72eTrW64sEN\nzwdQTU1/J3D7mMcdwHrgvtyjEtPRQCQQSQuBM4AZwCdtf2icYz5KdTfzw8Dv217VQtkkkJhQ3VH/\nLOA3xnnsB+wA3AVsBDbUz42PHwObgAeSaGKY9H0CkTQDuBlYQPWfcQWwyPaahmNOAJbYPkHSi4GP\n2D6imbJ1+b5LIJLm2x4pHcdY/RhX6ZgkdgFmb/v4zDw4hXp7b6pazA5UiaTx8eOG1/cBPxvzuN9m\nS2fizN9ds/oxrj6NqaXvzpndDGYC84B1ttcDSFoGnEjVRj3qtcA5ALavlrSbpH2A/Zso26/mAyOF\nYxjPfPovrvkUjMnmQaofKjePvie9Zal9ytLG4+q+l73qx94Nr/eiairbnWr6lt3qx67AbhK/ZExS\nqR8PAg81PD80wXb93lNPkFgBbO6jPp359N+/J+jPuObTfzG1pEQCmU3V/jxqA/DiJo6ZDezbRNmI\nnrD5BfDD+tGUum9mZ7ZNLKPJZZd6387AU6j+vY9uN+6rt/9oT2AJsJPEVmAz8Ms2nrc0PB6Z4Hmy\nfQ3HHDJb4gXA1vrx6Jjn8d6bbN+vX6e5sP+USCDN/iPoqyaoiE6ovwQfrB8bp3Iu6Z+W2v+4tE5K\nM4GdgCfWj51aeN6hfsysn2eN2W58PdFz/fqV+1GNhnsCVT/leM/t7JOEmTjReJIH8J6dJRZv57hJ\nyrdVbjvlT5sjcVzDMUzyerJ9nS7TtBJ9IEcAS20vrLffA2xt7AyX9O/AiO1l9fZaqvW4999e2fr9\n/FKJiGhDv/eBrAQOlLQf1UiXk6lmZ210MVXVfFmdcH5m+x5JP22ibEt/ABER0Z6eJxDbj0haAlxK\nVTU92/YaSYvr/Wfa/pqkEySto+owfOtkZXv9GSIiYkhvJIyIiO4bqjXRJX1K0j2SbigdyyhJcyR9\nU9IPJN0o6Z19ENNOkq6WdJ2kmyR9sHRMoyTNkLRK0pdLxzJK0npJ19dxLS8dD0A9tP18SWvqv8Mj\nCsfz3PrPZ/Rxf5/8W39P/X/vBkmfl/TEPojptDqeGyWdVjCOx31fSnqqpMsl3SLpMkm7TXaOoUog\nwKeBhaWDGGML8Oe2f5NqVtk/kXRQyYBsbwZebvu3gEOBl0s6qmRMDU6jmrOqn6rGBubbnmt7Xulg\nah8Bvmb7IKq/w6JNubZvrv985lLNR/YwcGHJmOq+0rcDh9s+hKrZ+42FY3o+8AdUs0ofBrxa0gGF\nwhnv+/LdwOW2nwP8V709oaFKILavpLr7t2/Y/pHt6+rXD1L9R9+3bFRg++H65Y5U/7HuLRgOAJKe\nAZwAfJL+G8bdN/FI2hU42vanoOobtH1/4bAaLQBus33ndo/srp9T/YCbJWkm1fDkKQ2d7oDnAVfb\n3mz7UeBbwOtKBDLB9+Wvb+Kun0+a7BxDlUD6Xf2LaC5wddlIQNITJF0H3AN80/ZNpWMC/hV4F/Td\n+ugGrpC0UtLbSwdDNZx9k6RPS7pW0lmSZpUOqsEbgc+XDsL2vcCHqW70vItqNOcVZaPiRuDouqlo\nFvAq4BmFY2r0NNv31K/vAZ422cFJID0iaRfgfOC0uiZSlO2tdRPWM4BjJM0vGY+kVwM/rifN7Jtf\n+7Uj66aZ46maII8uHM9Mqpv1/s324VQjFSdtaugVSTsCrwH+sw9iOQD4M6oJMvcFdpH0ppIx2V4L\nfIhqyeZLgFX03w8mAFyNsJq0KTkJpAck7QB8Efic7YtKx9Oobvr4KvDCwqG8FHitpDuALwCvkPSZ\nwjEBYPvu+nkTVbt+6X6QDcAG2yvq7fOpEko/OB64pv6zKu2FwFW2f2r7EeACqn9nRdn+lO0X2n4Z\n1VxoN2+vTA/dU887iKSnU00OOqEkkC6TJOBs4CbbZ5SOB0DSnqOjKyQ9iWrt8VUlY7L9N7bn2N6f\nqgnkG7ZPKRkTgKRZkp5cv96Zaq32oqP8bP8IuFPSc+q3FgA/KBhSo0VUPwD6wVrgCElPqv8fLqAa\noFGUpL3r52cCv00fNPc1uBh4S/36LcCkP3hL3IneNZK+QDXlyR6S7gTea/vThcM6EngzcL2k0S/p\n99j+esGYng6cI2l07qHP2v6vgvGMp19GYT0NuLD6/mEmcK7ty8qGBMCfAufWTUa3Ud9sW1KdYBdQ\njXwqzvbquha7kqqZ6FrgE2WjAuB8SXtQdfD/se2flwii4ftyz9HvS+B/Af9P0qlUi6u9YdJz5EbC\niIhoR5qwIiKiLUkgERHRliSQiIhoSxJIRES0JQkkIiLakgQSERFtSQKJKEDSUkl/WTqOiKlIAoko\nIzdgxcBLAonoEUl/K+lmSVcCzy0dT8RUDdVUJhH9StILgJOpFhHagWpajZVFg4qYoiSQiN44Grig\nXg1ys6SL6b9p6yNakiasiN4w2yaMJI8YeEkgEb3xbeAkSTvV08O/mnSkx4BLE1ZED9heJek8YDXV\nIj3LC4cUMWWZzj0iItqSJqyIiGhLEkhERLQlCSQiItqSBBIREW1JAomIiLYkgURERFuSQCIioi1J\nIBER0ZZGUM8pAAAABklEQVT/Dz6gEEJN/sXCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1052f3150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d = np.linspace(1,10,200)\n",
    "I = np.exp(-d)\n",
    "plot(d,I)\n",
    "ylabel(r'$I= \\exp(-d)$')\n",
    "xlabel('d')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x10546abd0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEPCAYAAABRHfM8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSjMOzBBYYQkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1052f33d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d = np.linspace(1,10,200)\n",
    "I = d**(-2)\n",
    "plot(d,I)\n",
    "ylabel(r'$I= 1 / d^2$')\n",
    "xlabel('d')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x10545f450>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEPCAYAAABGP2P1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105484dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "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')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x105d64b50>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEPCAYAAABGP2P1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105c04690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "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()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x105ea2b50>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEPCAYAAABGP2P1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmYXFW57/Hvj4QZIUCEQAgiMijKLCGKQICAYTggeo8Q\nRNGDikM8XD0eBuXaXV5xOM85KlwcQQZlCMjxaFQEw9DKTJgSMIMJEEmChDHIFCHkvX+s3VLVXZ10\ndw27dtXv8zz76d67dq39die931pr7bWWIgIzM7Nea+UdgJmZtRYnBjMzq+DEYGZmFZwYzMysghOD\nmZlVcGIwM7MKTUkMki6UtEzSA6s551xJCyTNkrRnM+IyM7P+mlVjuAiYPNCLko4AdoiIHYFPAj9o\nUlxmZtZHUxJDRNwMPLuaU44GLsnOvRMYJWnLZsRmZmaVWqWPYSywuGx/CbBNTrGYmXW0VkkMAOqz\n77k6zMxyMDLvADJLgXFl+9tkxypIcrIwMxuGiOj74XtArZIYpgNTgWmSJgDLI2JZtROH8sM1g6Tu\niOjOO45yrRgTtGZcjmlwHNPgtWJcQ/1Q3ZTEIOkK4EBgtKTFQBewNkBE/CgirpF0hKSFwIvAx5oR\nl5mZ9deUxBARUwZxztRmxGJmZqvXSp3PRdWTdwBV9OQdwAB68g6gip68A6iiJ+8AqujJO4AqevIO\nYAA9eQdQKxVpoR5JEbAWRQrazCxnkqKInc9DMYrVD5YzswbwU4HFUI8HdIqYGLbEicEsF632VKBV\nqlfyLmIfwxZ5B2Bm1s6KmBg8h5KZWQM5MZiZWYWi9jGYmeVO0o7AO4DdgF9HxL05h1QXRawxuI/B\nzFrFUaR53b4NfDHnWOrGNQYzs2GKiO8ASNoFeCTncOrGicHM2oak/YGzSOOdvh8Rl9RQ1kHAZcAE\nYJ8+Lz8dET1l+8cCZw/3Wq2miCOfHyFi+7xjMes0Qx09mxdJvwIuj4grayxnJDAzIla7Br2ko4Gb\ngDERsaCWa9ZqoH+jThj57BqDmVUlaQSwP2nt+N5j2wOfWM3b7oiIX1U5vjcwcw3XOxb4EvA50hxJ\nbVFrKGKNYQUwmogX847HrJMUocYgaR/gkojYZZjv3wn4MHAr8CngilprHs1UrxpDEZ9KWgaMyTsI\nM2tJBwM3DueNkjYErgL+KyKuBTYebllFV8SmpMeArYCH8g7EzMrUa5K92molE4ELyg8MoSnp/cAD\nEbFc0nrARhHxZA2xFFZRE8PWeQdhZn3k3MwkaW1gP+DE8uMR8TBw5iCKGA3Myr4/FLhD0uSs9tBR\nitiU5MRgZhUk7Qv8J/Aa6dHR4bgC2EbS4aQk8SrwhvpEWCxF7Hw+E9iMiNPyjseskxSh87nTdXLn\ns2sMZmYN5MRgZmYVnBjMzKyCE4OZmVUoYmJ4DhiJ1JFPC5iZNVrxEkN6jKp3kJuZmdVZ8RJD4uYk\nM7MGcWIwM7MKTgxmZlbBicHMzCo4MZiZWQUnBjOzBpH05jqVs5WkDepR1mAUNTEsBbbJOwgzs4Fk\n60BMqFNxTwJNmzi0qIlhCTAWqajxm1n7OyUirqhHQRGxEvitpI/Uo7w1KeaNNeJl4G/AFnmHYmat\nQ9L+kq6TdKekk3KMY3fSB9hayjhI0mOSxgFExExgUj3iW5NiJobkUWBc3kGYWeuIiJuBFcC3I+KS\nHEM5itrXi74ZWBYRi8uOPSlphxrLXaMiLu3ZazGwLTAz70DMrDVIGgHsD3yy7Nhg13xG0r8CLwFv\nBq4BdgPOAi4Gfgg8CFwWEZ+R9DHgG8DZwHLgYODciLgP2Af4eo0/zt70v7/Nyo4vrLHs1WpKYpA0\nGfguMAK4ICK+1ef10cClwJgspv+MiIvXUKxrDGbW117A4xGxrPfAYNd8lnQIsHNEfFbSRsANEbGv\npD8DnyIt83liRPw6K/eirLnqloi4T9JMYLqknYENYhjLY0raCfgwcGt2zb59FM8COw213KFqeGLI\nMvh5pLaxpcBMSdMjYm7ZaVOB+yLizCxJzJd0adbhMpDeGoOZtQCV1A10VXmpFF3RPcjzq547BAcz\n/Caco4F1JB2T7d8DEBE3SDoe+HREfK7PewJ4OjtvnqSRpFrGiL6FSzoNWH+Aa19CevLoKmBiRCzP\nzu/7s7wMrDPkn2yImlFjGA8sjIhFAJKmAccA5Ynhr6RfJsDGwNNrSAqQEsP4+oZqZsOV3dC7G3X+\nIE0ELig/MISmpNeARb3NSsCvys65HfispE0j4tnVlPUaKVn0u39FxH+sLnBJHwYeyJLCesBGEfFk\nn9M2AZ5ZXTn10IzEMJZ0E++1BNi3zznnAzdKeoxUXfvgIMp1U5KZ/YOktYH9gBPLjw+2KQm4mlSD\nOTsr7/iImCZpPOl+001qEu/7tNNmwKNZE9KKiJgt6XFJG0XEC0P4EUaT+hAADgXukDQ5Iq4tO2cr\nKj9UN0QzEsNg2tm+BNwfERMlvQWYIWn3iHi+74mSugG2go0vhh0Oq2uoZlZEkvYFTiB9Yj+WPrWG\nwYiI2yRdLemrpA+zD0r6P8AXgEOAF4HjJP0d+HLZp/lJkt6anfOB7NgfSC0aQ2nWugI4Q9LhpCTx\nKumDcrk9BvOzSZpIqj0Ni4bRPzK0C0gTgO6ImJztnwmsKu+AlnQNcHZE3Jrt3wCcHhF39ykrIkLZ\nzkjS0wMbEfFKQ38IM6v8+zMAJN0EnBQRj/Y5Pgr4YkScVcdrrQd8PSK+sJpzqv4bDfXfrhnjGO4G\ndpS0naR1gOOA6X3OmUc2cEPSlsDOwMOrLTX1QTyO50wys3z1u+FGxHLgqexhmno5HvhRHcsbUMMT\nQ9aJPBW4DpgDXBkRcyWdIumU7LSvA++UNAu4HjgtIgbTweInk8wsF5KmALsAX8k+9PZ1DqlZqx7X\nGgc8GxHz61HeGq/X6KakeupXHZKuAH5DxGX5RWXWGdyU1PqK1JTUSK4xmJnVWdETwyJgu5xjMDNr\nK0VPDI+Q5jQxM7M6cWIwM7MKRU8Mi4BxpPmYzMysDoqdGCJWkCawGpt3KGZm7aLI6zH06m1OenRN\nJ5pZbSQV5/l2G7Z2Sgx/yDsQs3bmMQydo9hNSYk7oM3M6siJwczMKjgxmJlZhXZJDNvnHYSZWbto\nh8SwBBhNmqvczMxqVPzEEPEaaTK9N+UdiplZOyh+YkgWAjvkHYSZWTtol8SwANgp7yDMzNpBOyWG\nHfMOwsysHTgxmJlZBScGMzOrUOw1n19/YSTwAjAqm3HVzMwynbbmcxKxEvgLHuhmZlaz9kgMiZuT\nzMzqwInBzMwqtFti8FgGM7MatVticI3BzKxG7ZQY/oxrDGZmNWunxLAY2ARpk7wDMTMrsvZJDBGr\ngHnA2/IOxcysyNonMSRzcWIwM6tJuyWGOcAueQdhZlZk7ZYY5uLEYGZWk3ZLDHNwU5KZWU3aYxK9\n108YCTwPbE7ES00LzMyshXXmJHq90mR6C4Gd8w7FzKyo2isxJO5nMDOrQVMSg6TJkuZJWiDp9AHO\nmSjpPkkPSuqp4XJzgLfX8H4zs442stEXkDQCOA+YBCwFZkqaHhFzy84ZBXwPeG9ELJE0uoZLPgCc\nVEvMZmadrBk1hvHAwohYFBGvAtOAY/qccwLw3xGxBCAinqrherOB3Wp4v5lZR2tGYhhLmseo15Ls\nWLkdgc0k3STpbkkfruF6DwOjPWeSmdnwNLwpCRjM87BrA3sBhwAbALdLuiMiFgz9avEa0p+AXYFb\nhvx+M7MO14zEsBQYV7Y/jlRrKLcYeCoiXgZelvRHYHfSGgsVJHWX7fZERE+Va87K3u/EYGYdR9JE\nYOKw39/oAW5Kg87mk2oDjwF3AVP6dD6/ldRB/V5gXeBO4LiImNOnrMEN0pCmArsScUq9fg4zs6Ia\n6gC3htcYImKl0o36OmAE8JOImCvplOz1H0XEPEnXkjqOVwHn900KQzQb+FCtsZuZdaL2mhLj9RM3\nBR4FNsnWaTAz61idPSVGr4hngWeB7fMOxcysaNozMST3A3vkHYSZWdG0c2K4G3hn3kGYmRVNOyeG\ne4C98w7CzKxo2j8xSIPucDEzs3ZODBGPAy8D2+UciZlZobRvYkjuxs1JZmZD0u6J4R7cAW1mNiSd\nkBhcYzAzG4J2TwypKUlq95/TzKxu2vuGGbEMeI603oOZmQ1CeyeG5HbgXXkHYWZWFJ2QGO4AJuQd\nhJlZUXRCYnCNwcxsCNpz2u3KN60DPANsRcTzDQnMzKyFedrtviJeIc20uk/eoZiZFUH7J4bkDtyc\nZGY2KGtMDJL+pRmBNNitwH55B2FmVgRr7GOQ9ATwW+BO4C5gVkS8lr22XUQsanSQZbEMvY8hvfGN\nwEJgcyJW1j0wM7MWNtR752ASw+mkpLAvqZ1+V+ApUpIYExFThh/u0Aw7MaQ3/wn4CBH31DcqM7PW\n1ojEoOhzkqQxpEQxNSIOHVakw1BjYvg+sICI79Q3KjOz1lb3p5L6JoXs2OMR8Svg/w4xvjz9ETgg\n7yDMzFpd+49jeP3NY4FZwBZErKprYGZmLczjGAYSsRRYDrw971DMzFpZ5ySG5CbgoLyDMDNrZZ2W\nGGYATessNzMros7pY0gFjAYeAkYT8WrdAjMza2HuY1idiKdIA932zTsUM7NW1VmJIbkemJR3EGZm\nrcqJwczMKnRWH0MqZH1gGbAtEcvrEpiZWQtzH8OaRLwM3AwclncoZmatqPMSQ/Jb4Mi8gzAza0Wd\n15SUCnoTMBMY4+kxzKzduSlpMCL+AjyBl/s0M+unMxNDcg1uTjIz66cpiUHSZEnzJC3IFv4Z6Lx9\nJK2U9P4mhDUdOKYJ1zEzK5SGJwZJI4DzgMnALsAUSW8b4LxvAdcCtfcjrNntwJZIOzThWmZmhdGM\nGsN4YGFELIo0P9E0qn9S/xxwNfBkE2KCtG71L4Fjm3I9M7OCaEZiGAssLttfkh37B6VFdI4BfpAd\natajUr8AmtFsZWZWGM1IDIO5yX8XOCNbRlQ0pykJoAfYGWnrJl3PzKzljWzCNZYC48r2x5FqDeX2\nBqZJAhgNHC7p1YiY3rcwSd1luz0R0TPsyCJeQfoN8AHg/w27HDOzFiJpIjBx2O9v9AA3SSOB+cAh\nwGPAXcCUiJg7wPkXAb+OiF9Uea0+A9wqCz0COIuId9e1XDOzFtFyA9wiYiUwFbgOmANcGRFzJZ0i\n6ZRGX38QZgA7Im2XcxxmZi2hM6fE6F/wD4C/EPHNupdtZpazlqsxFMQVwJS8gzAzawVODMktwCik\n3fMOxMwsb04MQDbD6k+Bj+UdiplZ3gqXGFRSox6xvRg4AWmdBpVvZlYIhUsMpDEH9RfxEDAXz7hq\nZh2uiInhdJXUqJHRFwEnN6hsM7NCKGJiWJfGrdd8FTAhW+HNzKwjFTExfB04oyElR7wEXAp8siHl\nm5kVQBETw5U0trnnh8DJ7oQ2s07lkc/VL3Qj8GMipjX8WmZmDeaRz/VxLvB51LBObjOzluXEUN2v\nSdN/vyvvQMzMms2JoZq07Od3gS/kHYqZWbMVuo9BJW0CnAWcFl11/kGkjYBFwLuIWFDXss3MmqjT\n+hieJy0A9L66lxzxAmlVty/XvWwzsxZW6BoDgEo6AvgPYPfoitfqfMFRwEJg32zKDDOzwum0GgPA\n74DlwEl1LzliOXAerjWYWQcpfI0BQCWNB34J7Bxd8XydL7opsAAYT8TDdS3bzKwJOrHGQHTFXcB0\nYHz9C49nge8DX6p72WZmLagtagxNuPBmwJ+BfYh4pOnXNzOrQUfWGBou4hnge8DX8g7FzKzRXGMY\n/MU3AuYB/0zE7bnEYGY2DK4xNEoa13AGcA6Sf29m1rba8gankqSStm9A0ZcDq4ATG1C2mVlLaMvE\nAIwF7lJJ29S11IhVwKnAN7KmJTOzttOWiSG6YglpYNq59S887gRuxI+vmlmbasvEkPkm8A6VdHQD\nyj4d+DjSbg0o28wsV22bGKIrVgCfAs7LZmGtY+HxGHAmcBHS2nUt28wsZ22bGACiK24kzaV0WgOK\nvxB4Cvj3BpRtZpabkXkH0ARfAOo76ypARCB9ArgH6VdE/Knu1zAzy4EHuNVKOgU4GXg3ESvzDsfM\nrC8PcGu+HwPPAt05x2FmVhdODLVKVa4PAx9Fmpx3OGZmteq4xKCSNlZJ29a10IgngA8BF6M6D6oz\nM2uyjksMpPWhp6uk9epaasQfSAPqpvkRVjMrsk5MDD8jra3w7QaU/U3gedIa1GZmhdS0xCBpsqR5\nkhZIOr3K6x+SNEvSbEm3qkGjiqMrAvgEcJhK+mB9C49VwAnA4UifqWvZZmZN0pTHVSWNAOYDk4Cl\nwExgSkTMLTvnXcCciHhOqRO3OyIm9Cmnbo+rqqS9gOuAg6MrHqhHma8XrrcAtwAnE3FNXcs2Mxui\nVn1cdTywMCIWRcSrwDTgmPITIuL2iHgu270TaGgnbnTFvaSZUo+tf+HxEPAB4BKk3etevplZAzVr\n5PNYYHHZ/hJg39WcfzLQ8E/a0RWXN67wuA1pKvAbpAOJeLhh1zIzq6NmJYZBt1dJOgj4F2C/AV7v\nLtvtiYiemiJrpIgrkTYHbsiSw6N5h2Rm7U/SRGDicN/frMSwFBhXtj+OVGuokHU4nw9MjohnqxUU\nEd2NCLBhIr6PtC5wI9IB2cysZmYNk31g7undl9Q1lPc3q4/hbmBHSdtJWgc4DphefoKkbYFfACdG\nxMImxdWPShpR90IjvgP8hFRzGFP38s3M6qgpiSHS5HJTSU8BzQGujIi5kk5RmoQO4CvApsAPJN0n\n6a5mxFZOJa0F3KySJta98IhvAJcCt2ZPLZmZtSTPrtr3GiUdDFwBHBpdMbv+F9CngbOAI4iYVffy\nzcz6aNXHVQsjW9zns8C1KmmX+l8gfgB8HpiBdEDdyzczq5ETQxXRFVeTVmaboZJ2rv8F4irSCOmf\nI3287uWbmdXAiWEA0RWXAV8GjmrMBeJ64ADgi0jneuI9M2sV7mPImzSK1KexDnACEctyjsjM2oz7\nGIomYjmpVnIbcC/SpJwjMrMO5xpDK5EOAX4KXAJ0keaVMjOriWsMDaaStldJ729I4RE3AHsCewB3\n0KCpx83MVseJYeg2As5RSWeopPrXXtIyoUcC3yONlO4ijRY3M2sKJ4Yhyga9TQA+CJyvUgNu2hFB\nxIWk2sN44B6PeTCzZnFiGIboiqWkR03fCNygkrZqzIViCalj+qvApUiXIm3dkGuZmWWcGIYpuuIF\n0iI/M4B/atyFIoj4ObALaU2L2UhnIW3YsGuaWUfzU0lFkybgO5tUYykBPyFNUmhmVpWfSmp3EQ8R\ncTxwNKmfYz7SJ7M1H8zMaubE0CAqacuGXiDibiIOAU4iNWktRDoVaYOGXtfM2p6bkhogW9fhPmAm\n8MXoiuWNv6j2Br5EWhL1e8D5RDze8OuaWctzU1ILiK5YBewPvAo8qJKObvxF4x4iPgAcAowF5iJd\njrQfasB4CzNrW64xNFi2GtwFpBrE56Mr+q113ZgLaxSpmemzwEvAD4ErGWAtbTNrX64xtJjoih5g\nV9KSpqObd+FYTsQ5wFuB04CDgEeQfo50lKf5NrOBuMbQSaRNgX8m1SR2AK4CrgZuIeK1PEMzs8YZ\n6r3TiSFnKmk94O/R1eR/CGlH0uOu/wvYGvglKUn0eFZXs/bipqTiKZGm1ZjQ1KtGLCDibCL2BN4N\nLAS+BjyBdDXSx5G2aWpMZtYSXGPImUoaCXwU+AqwAPgWMKPpNYh/BKQxwHuBycBhwGPAtcDvgNuI\nWJFLXGY2bG5KKqhsltYppI7ivwHvia6c2/2lEcA+pCRxOPB24B7gD8AfgduJeDG/AM1sMJwYCi4b\nHPeObHrv1iJtTGp2OiDb9gAeICWJO4C7iFiaX4BmVo0TQxtTSaOA53JrZupLWp+0NsX+pHUj9gVe\nAe4q2+7J1rU2s5w4MbQxlfQ94GDgZ8Dl0RWL8o2ojzTC+k2kJNG77QU8BcwGZmVfZwML/YisWXM4\nMbSxbCnR/YAPkcYjzAcuAy6Orngpz9gGJK0FbA/sDuxWto0hDfqbnX2dn22PeBpxs/pyYugQWWf1\noaQE8enoipdzDmloUn/FO0hJ4m3Aztk2BniE1xPFPNLTWo8AjxOxKpd4zQrMicEAUEmbkFZ9mxld\nBfoEnvotdiBN5dGbLHYE3gxsDPwFeJiUKCo3zwNlVpUTgwGgkvYALgG2BXpIS5DOABa2TOf1UKXl\nTLcjJYnebfuy7wNYAiwt+7q0z7GnKNJ/erM6cGKwCtmCQZNIzU6TgCujK/4t36gaIHV8jyJNOb7N\nar5uSBq0txT4K7As254o+z7te4yGtQknBhtQ1nm9bnT1H72cTQ++OWl68EcKW6tYk9RU1ZskxgBb\nlm1b9NlfSWXSeAp4Gngm+/p0v/2IV5r405gNihODDYtKmkIaeb0n8AbgfuBe4MfRFfPyjC0XqQby\nBioTxeZl22ZVvt8MWEFl4ngGeK7KtrzKsb/5iSxrBCcGq5lKeiMpQewJTI+umFvlnINJCwAtAJ5p\n2xrGUKRksjGVSWNTYBNSM9cma9g2Jv1O+ycMeGEY24t+isvAicGaRCV9gzTJ3g7ZoYez7fPRFY/m\nFliRpTEfG1E9YWyYvTaUbUPgZXqTRPr6Unbs5bLvqx0byusvu6bT2loyMUiaDHwXGAFcEBHfqnLO\nuaSJ2l4CPhoR91U5x4mhxWT9Fpvy+hNC10VX/K3Keb8h/fv3PinU2wF8fbU+D6uDlGjWpzJZbJAd\nW7/s+2rHhvr6KuDvVbYVDTj+ara9MsD3lfseYd96iUFphs75pCdilgIzgSkRrzdPSDoCmBoRR0ja\nFzgnIvqtT9CKiUHSxIjoyTuOci0ZU0m7MYMjOJRnSJ2/Y0kLBJ0QXf3nUlJJPyP9YT9Ztj0LXBtd\n9evgbcnfVdFiSk1oI4F1q2zr1eF432NrA2v/FjY7MiWKtbNtnQG+DwZKGqtLKAO/trJse63P/srz\nYNupqYl1ZZWt3/mDeG0ox1dVexx7qPfOkYM9sQbjgYURaV4fSdOAY4DyduujSc/cExF3SholacuI\nWNaE+Go1kTROoJVMpMViiq6YrW69P26JHw/yLVeSnhp6IymB7E6qmcyodrJKmkP6oy3v1H0BOLVa\nIlFJhwEreCNTVNJfSU0tLwLLW6C/ZCIt9u/H6mJKN6Lem+cLzQroKKk7IrrXeGL6cDpQ0lhdQhno\ntRGke2fvVr6/3m2w69TU8tH3tYHeU8/jayGtIiWN3m3IzXzNSAxjgcVl+0tIs3Cu6ZxtSI8IWgeK\nrvjNEN9yJJWdvKNIbewDNSOcCmzMDuxAuultmG1bkG5wFVTS3Kys3iaN3q9HVxtZrpK+Rmpe6f0k\n1/tJ85zo6t8hrJLeR+8f8Vi2zx4fXgncNsD5O2Tl926vZV8fr5bYVNL6fc5f1QIJsDlSU1Jvv0jD\nXSF1Xz6YhNUIqflwLVLCKN+GNCtAMxLDYP/z9a3mdMZ/WquL6IpHhnj+kQDqVnfcNqg/4mPo37Sx\nHgMnnt5PjCNJ7fC93w/kI6RPoyMZy86kEesjSeteVHMNvZ8Q0x9+7w1hLNX/dp7m9ZvEWoBUUgBr\nV1sQSiU9SfqbDCB4DxuopE8BYwc4f1FWbvTZdhzg/DkDnL/7AOfP7Hf+BLZWSV8dIHHeTOU9pfd3\ncuAA5/fQ/x4EcNAA5984QPmTqpSBSpoxQPmHDVD+dQOcP3mA868BRHe/84+MrliFhtYC34w+hglA\nd0RMzvbPBFaVd0BL+iHQExHTsv15wIF9m5IkOVmYmQ1Dq/Ux3A3sKGk70pMox5EGUpWbDkwFpmWJ\nZHm1/oVW63g2M2tHDU8MEbFS0lTgOlI19icRMVfSKdnrP4qIayQdIWkhqQPwY42Oy8zMqivUADcz\nM2u8tfIOYDAkXShpmaQH8o6ll6Rxkm6S9CdJD0r61xaIaT1Jd0q6X9IcSd/IO6ZekkZIuk/Sr/OO\nBUDSIkmzs5juyjsegOwx7aslzc3+/fqN5ckhpp2z31Hv9lyL/F8/M/vbe0DS5ZLWbYGYTs3ieVDS\nqTnF0O9eKWkzSTMk/VnS7yWNWlM5hUgMwEXA5LyD6ONV4PMR8XZgAvBZSW/LM6CIWAEcFBF7kFZG\nO0jSe/KMqcyppCU8W6WKGsDEiNgzIsbnHUzmHOCaiHgb6d+v3xxVzRYR87Pf0Z7A3qSnrf4nz5iy\n/spPAHtFxK6kJurjc47pHcDHgX1IY26OkvSWHEKpdq88A5gRETsBN2T7q1WIxBARNzPE53AbLSIe\nj4j7s+9fIP0Rb51vVBDxj7Wf1yH9wTyTYzgASNoGOAK4gOqP4OWlZWKRtAmwf0RcCKlvLiKeyzms\nviYBD0XE4jWe2Vh/I30w20DSSNKUHEvzDYm3AndGxIpI4yb+ALy/2UEMcK/8xwDi7Ov71lROIRJD\nq8s+wewJ3JlvJCBpLUn3kwYH3hQRc/KOCfgO8O+kgVWtIoDrJd0t6RN5B0Oaa+pJSRdJulfS+ZI2\nyDuoPo4HLs87iIh4Bvgv4FHSk47LI+L6fKPiQWD/rNlmA9KAy21yjqlX+SwSy0hTyK+WE0ONJG0E\nXA2cmtUcchURq7KmpG2AAyRNzDMeSUcBT2STIrbMJ3Rgv6x55HBSM+D+OcczEtgL+H5E7EV6Om+N\nVf5mkbQO8E/Az1sglrcA/5u0zOvWwEaSPpRnTBExD/gW8Hvgd6QFr1rpgxAAkZ42WmNzrhNDDSSt\nDfw3cGlE/DLveMplzRC/Bd6ZcyjvBo6W9AhwBXCwpJ/mHBMR8dfs65OkNvO8+xmWAEsiYma2fzUp\nUbSKw4F7st9X3t4J3BYRT0ea7vsXpP9nuYqICyPinRFxIGnOrvl5x5RZJmkMgKStSCsSrpYTwzAp\nzSj5E2BORHw373gAJI3ufeJAaQnLQ0mfXHITEV+KiHER8WZSU8SNEfGRPGOStIGkN2Tfb0haVyLX\nJ94i4nFgsaSdskOTgD/lGFJfU0iJvRXMAyZIWj/7O5xEerAhV5K2yL5uCxxLCzS7ZaYDJ2XfnwSs\n8UNsM0YG5pArAAABd0lEQVQ+10zSFcCBwOaSFgNfiYiLcg5rP+BEYLak3pvvmRFxbY4xbQVcotcn\n0vpZRNyQYzzVtMJTSVsC/5PuKYwELouI3+cbEgCfAy7Lmm0eokUGembJcxLpSaDcRcSsrNZ5N6m5\n5l5gsLP2NtLVkjYndYx/JqL/uiSNVnavHN17rwS+CVwl6WRgEfDBNZbjAW5mZlbOTUlmZlbBicHM\nzCo4MZiZWQUnBjMzq+DEYGZmFZwYzMysghODWR1J6pb0b3nHYVYLJwaz+vLAICs8JwazGkn6sqT5\nkm4Gds47HrNaFWJKDLNWJWlv4DjS4ixrk6ZnuDvXoMxq5MRgVpv9gV9kq+etkDSd1ppe3GzI3JRk\nVpugMhE4KVjhOTGY1eaPwPskrZdN5X0U7oC2gnNTklkNIuI+SVcCs0gLoNyVc0hmNfO022ZmVsFN\nSWZmVsGJwczMKjgxmJlZBScGMzOr4MRgZmYVnBjMzKyCE4OZmVVwYjAzswr/H8pCurkNUFGVAAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10539c050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "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()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1054a2590>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEZCAYAAACTsIJzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XecXGXZ//HPlyT0QIBQEzB0UCB0UAQCAgZEEFSKgqio\nscQfigVQdLOPBfXBgg9YqdIRRUMRDCXSezcJEmoKhBp6pOT6/XGfgdnZ2WybmTNn5vt+veaVnXPO\n3Ofa3excc3dFBGZmZiWL5R2AmZk1FycGMzPrwonBzMy6cGIwM7MunBjMzKwLJwYzM+vCicEKR9Jv\nJR2bdxxmrcqJwZqKpEclvSrpRUnPS7pB0gRJKl0TEV+KiB/2saxd6xtx/0gaJ2mhpJeyxyxJ50va\nOu/YzEqcGKzZBLB3RCwHrAX8BDgKOGWAZanXqxpvTkQMj4jhwPbADOC6Zkti1r6cGKxpRcRLEXEx\ncCBwmKR3A0g6XdIPsq9HSrokq108K+laJWeSEsvF2Sfzb2bX/1nSE5LmS/pXqcyyck/KyntR0s2S\n1ik7/x5JU7L7PCnpmOz4YpKOljRT0jNZDWCFPn6PcyKiAzgZ+GnZvTYqu9cMSR8vO7eUpJ9nNaL5\nkq6TtMSivj9J22Qxq6yc/SXd3d/fi7U+JwZrehFxGzAb2LF0KHsAfAOYBYwEVgGOieRQ4HFS7WN4\nRByfXX8psB6wMnAncHbF7Q4EJgErADOBHwFIGg5cCVwGrJ6VcVX2mq8C+wA7ZeeeB07q57d5EbBl\n9qa/DDAFOCuL8yDgN5I2zq49HtgCeC+wIvCtsp9H1e8v+xk+C3yw7J6HAmf0M05rA04MVhRzSW+C\nlV4nvRmPiYi3IuKGRRUSEadHxCsR8QbQCYzN3vQhvbn+NSJuj4i3SG+qm2fn9gbmRsQvI+L1iHg5\nIm7Nzk0Ajo2IuWXlfkxSf/6+5pKavUZk93okIs6IiIURcTfwV+DjWZmfAY6IiCey8zdHxOt9+P7+\nBBwCIGlFYA/gnH7EaG3CicGKYjTwXNnzUpPI/5I+2f9T0kOSjuqpgKzJ5ydZk88LwCPZqZFll80r\n+/o1YNns6zWBh3soegxwUdac9TwwDXgTWLX3b+tto0iJaT7wLmC7UnlZmZ/IylsJWBJ4qI/fX5R9\nf2cDH5a0NHAAcG1EzKssx8yJwZqepG2ANYDrK89ln9y/GRHrkppzjpS0S+l0xeWfzK75QEQsD6xd\nukUfwngcWGcR58ZHxAplj6Uj4ok+lFuyH3BHRLyWlfevivKGR8RXSM1BC0jNRZWqfX8qfX8RMRu4\nGdifVHM4sx/xWRtxYrBmJABJy0naGzgXODMi/l1+Prtmb0nrZZ2qLwJvAQuz0/OAdcvKXRb4L/Bc\n1o7/42r37cGlwOqSjpC0hKThkrbNzv0O+LGktbKYVpa0T6/fZDJKUgdwOPCd7NQlwAaSDpE0LHts\nI2mjiFgInAr8QtLqkoZIeq+kxfvw/UFqTjoK2ITUPGXWjRODNaOLJb1I+uR8DPBzUrt6SXnn83qk\njtqXgBuBkyLiX9m544Bjs+aYI0lvio8Bc4D7gZvoWqsIutcyAtIIKWB34MPAE8B/gHHZNScAk0nN\nWS9m5W5LdQGsIemlLOZbgfcAO0fEldm9Xia1/x+UxfpE9r0snpXxTeA+oNShfBwpqfX2/UFKBmsB\nF0XEgh5itDanRmzUI+lU4EPAUxGxaQ/X/BrYE3gV+HRE3FX3wMzakKQHgQkRcXXesVhzalSN4TRg\nfE8nJe0FrBcR6wNfAH7boLjM2oqk/YFwUrBFGdqIm0TEdZLGLOKSfcjGU0fELZJGSFrVIybMakfS\nVGAj0vwFsx41JDH0wSjSJKWS2aThiU4MZjUSEePyjsGKoZk6nytHhNS/88PMzLpplhrDHNIEopLR\n2bEuJDlZmJkNQET0eUHJZkkMk4GJwHmStgfm99S/0J9vrhEkTYqISXnHUa4ZY4LmjMsx9Y1j6rtm\njKu/H6obkhgknQvsDIyUNAvoAIYBRMTvI+IySXtJmgm8Qtcx62Zm1kCNGpV0cB+umdiIWMzMbNGa\nqfO5qKbmHUAVU/MOoAdT8w6giql5B1DF1LwDqGJq3gFUMTXvAHowNe8ABqshM59rRVIELEaRgjYz\ny5mkKGLnc3+MIG2EYmYN5FGBxVCLATqFSwzj+cf3Locj847DrB0126hA66pWybtwfQzr8tASecdg\nZtbKitjHcAARf847FrN20992amu8nn5H/f3dFa7GQP+2SzQzs35yYjAzGyBJy0vaX9IxecdSS0VM\nDKvkHYCZGUBEvADcwTu767WEwiWGhWg1iVOk4sVuZlYEhRuuuhixCrAFsDbwUM7hmFkTkbQjcCxp\nvtNvIuKMQZS1C3A2sD2wTcXpZyNi6kDLbnaFSwykPoa7gM1xYjCzMtlukQuAX0TE+YMs7jpgXkQ8\nDjy+iOtabqRWURPDQcBTeQdiZs1F0hBgR9Le8aVj6wCfX8TLbo6Iv1c5vhVwWy/3Wxb4KLCVpE0i\n4v7+R918ijiPYQEwkohX8o7HrJ0UYR6DpG2AMyLi3QN8/QakPbFvAL4InFuDmkfDtPM8hnnAankH\nYWZNaVfg6oG8UNIywAXAzyPicmC5gZZVdEVsSpoLrI77F8yaisQk0iZcAJ0RTKpynh6O9/i6fhoH\nnNy1/D43Je0P3BcR8yUtCSwbEU8PIpbCKmJT0l+AC4i4IO94zNpJszclSRoGPAusHRHPDuD1XweG\nRMTxkj4M7A5cltUeCqGdm5LmAmtIHCjxjbyDMbP8SdoOOB54C9hvgMWcC4yWtCcwEngDGF6bCIul\niDWGY4AVRfwKGBLBrLzjMmsHzV5jsNrVGIrax7BJBHPzDsTMrBUVtikp7yDMzFqVE4OZmXVR+MQg\ntd50dDOzPBUxMbwADEUaLjEWuDLvgMzMWknxEkMaRlWa5PYgsL3EUvkGZWbWOoqXGJK5wBoRvApM\nB8bmHI+ZWcso4nBV6NrPMC6Cl/MMxsyslRS6xgDgpGBmVluFTwxmZlZbRW5K2jrvIMysvUlaH9gE\n2Ay4OCLuzDmkmmiJGoPEEhIjc4zHzNrT3sAc4BfAN3OOpWaKmhjmAKPLnh8OfCWnWMysTUXELyPi\nVmBN4JG846mV4q2uGiGkpYD5wFJELMw7LrN2UITVVSXtCBwLjAB+ExFnDKKsXYCzge2BbSpOPxsR\nU8uu/S7wy4h4daD3q4Vara5azMSQnjwNbErEk/lGZdYeipAYACT9HThnsHs1SxoK3BYRW/Ry3T7A\nNcBqEfHgYO45WO287HbJ46TqmxODmQEgaQiwI/CFsmN93dqz0lbAbb3cbz/gO8BXganAj/oZclMq\ncmKYBaxFL784M2srWwJPRsS80oGIeJi0wVevJG0AHArcAHyRtKtbjyLiIuCiAUfbpBrS+SxpvKQZ\nkh6UdFSV8yMlXS7pbkn3S/p0H4ot1RiyMhgmsUsNwzaz/pCiJo/B2RW4emDhaxngAuDn2T7Pyw20\nrKKre40hq9qdCOxGGk10m6TJETG97LKJwF0RcYykkcADks6KiDcXUXSpxlDubxLrRvBMLb8HM+uD\n5uh/GAecXH6gH01J+wP3RcR8SUsCy0bE03WLtIk1oilpW2BmRDwKIOk8YF/S4nclT5AmiEDK0s/2\nkhQgJYZtS08ieEPietJ/jAtrErmZFYakYcAOwCHlx/vRlDQSuCf7enfgZknjs9pDW2lEU9Io0pt4\nyezsWLk/Au+RNJf0izmiD+V2aUrKnAW8NcA4zaygJG0HHE/6+99vgMWcC4yWtCcpSbwBDK9NhMXS\niBpDX9oMvwPcHRHjJK0LTJE0NiJeqrxQ0iSA1WG502G9PcpvFIvuKDKz1hQRtwC30LcPlT2V8STw\ntZoFlSNJ40itJwPSiMQwh66f7Nck1RrKvY9smFdEPCTpEWBD4PbKwiJiEgBpjPFEpMWJeL32YZuZ\nFVM2+W5q6bmkjv68vhFNSbcD60saI2lx4EBgcsU1M0id00halZQUHl5kqakP4km8yqqZWU3VvcYQ\nEW9KmghcAQwBTomI6ZImZOd/D/wYOE3SPaRk9e2IeK4PxZdGJj1al+DNzNpQcZfESAfOBS4h4ux3\nDjEE+CFwbIQ7os1qpShLYrSzWi2JUdTVVUu6zWXIksFsYIlcIjIzK7iiJ4ZHgTGVByM4KYJcVzk0\nMyuqoieGR4C18w7CzKyVODGYmVkXRU8MjwJrktZjMjOzGih2YohYADxL9yU2kNhB4oTGB2VmVmzF\nTgxJT81JjwCHSoXec8LMrOFaNjFEMBd4DHhvwyMyMwMk1aQPVNLqkpauRVl90bKJIbMPcFMDYzEz\nA97eB2L7GhX3NPDtGpXVq5ZODBHMiqC3fR3MzOphQkTUZMXnbH+aSyV9qhbl9aalE4OZtRdJO0q6\nQtItkg7LMY6xdF9Fur9l7CJprqQ1ASLiNrLFRuutVRLDOnkHYWb5i4jrgAXALyLijBxD2ZvB7xd9\nHTAvIso3Onta0nqDLLdXrTBiZzYwEmnJbPhqNxLviuCxBsdlZg2W7TG/I/CFsmN93fMZSf8PeJXU\nCnEZacvhY4HTgd8B9wNnR8SXJX0GOI60l8x8YFfg1xFxF7ANadXowdgKuK3i2D3Z8ZmDLHuRip8Y\nIt5CmgW8C3ig8nS22upkiZ0ieKHh8Zm1CXVqElBtQ5jO6Mg22Or9+qrX9sOWwJMRMa90oK97Pkv6\nALBhRHxF0rLAVRGxnaT/AF8kbfN5SERcnJV7WtZcdX1E3CXpNmCypA2BpWMAS1dL2gA4FLghu2dl\nH8XzwAb9Lbe/ip8YkpnAelRJDNlqq2MbHpFZm8ne0CfV6/o+2pWBN+HsAywuad/s+R0AEXGVpIOA\nL0XEVyteE6RJtkTEDKWdJTcj7T3ThaRvA0v1cO8zSCOPLgDGRcT87PrK7+U1YPF+f2f91CqJ4UFS\nFr0070DMLFfjgJPLD/SjKekt4NFSsxLw97JrbgK+ImmFiHh+EWW9RUoW3UZDRsTPFhW4pEOB+7Kk\nsCSwbEQ8XXHZ8kBfNjEblFZKDBvlHYSZ5UfSMGAH4JDy431tSgIuJDVt/Sgr76CIOE/StsDjpNrN\nr4DK0U4rAo9nTUgLIuJeSU9KWjYiXu7HtzCS1IcAsDtws6TxEXF52TWrA9P7UeaAtMKoJEiJYf28\ngzCzfEjaDjie9Il9v4GUERE3AhdK+h9Jnwcek/Q90rbEzwH/AQ6U9AdJK5e9dLesqembwEezY/8C\ntu1nCOcCoyXtSUoSb5D6NcptTup/qKtib+35zon1gCuJGNPzaxkOHBjRtZppZn3jrT27k3QNcFhE\nPF5xfATwzYg4tob3WhL4cUQcuYhrvLVnmUeB1Ug/uJ78F/iZxOjGhGRmbaLbG25EzAeekTSyhvc5\nCPh9DcvrUWskhjRd/DEWMdEtgteBv5F+uGZmgyLpYODdwPclVRspdAIDbNaqcq81gecjotvIy3po\njaakdPIS4I+8M6KgyiWMBVaJYEqdQjRrWW5Kan61akpqlVFJ0IcO6Ii3e/zNzKwHrdGUlJTmMpiZ\n2SC0WmLwkFUzs0FqpcTwH/pRY5Ba6ns3M6uZVnpznAUsj7R8bxdK7AGcXf+QzMyKp3U6nyMWIs0A\nNgZu7uXqa2nA7EGzViOpOMMYbcBaJzEk0+lDYoig6r4NZtYzD1VtH63UlAQwjTThxMzMBqjVEsN0\nnBjMzAal1RLDNFJTUp9ILCOxb+9Xmpm1j9ZZEiNdMBR4CViJiFd7L49lSWssbRHB471db2ZWRO26\numqSFtObCWzYt8t5GTgLmFDPsMzMiqS1EkPS336G/wPuq1MsZmaF05DEIGm8pBmSHpR0VA/XjJN0\nl6T7JU0dxO2mAe/p68URzIzgvEHcz8yspdR9HoOkIcCJwG7AHOA2SZMjYnrZNSOAk4APRsTsQW5u\ncR/d92Q1M7M+akSNYVtgZkQ8GhFvAOdBt5FAnwD+EhGzASLimUHc715gs0G83sysrTUiMYwirWNU\nMjs7Vm59YEVJ10i6XdKhg7jfw8DIvqyZVCkbpWRm1tYakRj6Mh52GLAlsBfwQeB7kga2hHbEW8C/\ngU3787JstdVbJFYb0H3NzFpEI9ZKmgOsWfZ8TVKtodws4JmIeA14TdK1wFjSHgtdSJpU9nRqREyt\ncs97stdf39cgI1gosWUE/+3ra8zMmpGkccC4Ab++3hPclCadPQB8AJgL3AocXNH5vBGpg/qDwBLA\nLcCBETGtoqy+TdKQJgKbEuH5CWbW9ppuz+eIeFPpjfoKYAhwSkRMlzQhO//7iJgh6XJSx/FC4I+V\nSaGf7gU+OdjYzczaUWstifHOhSsAjwPLE7Gw7oGZmTWx9l4SoyTieeB5YJ2BvFxiK4mJtQ3KzKwY\nWjMxJHcDmw/wtfOATonVaxiPmVkhtHJiuB3YeiAvjGA2cDpQdfkOM7NW1mpbe5a7A/jaIF7/Q1r7\n52NmVlVrdj6ni1cjLai3EkX6Js3MasydzyURTwKvAWNyjsTMrFBaNzEktwNb5R2EmVmRtHpiuIMB\ndkCXk9hf4n01iMfMrOm1Q2KoRY3hJVKzlJlZy2vdzuf0glVJW32O9AxoM2tX7nwuFzEPeIG034OZ\nmfVBayeG5CbgvXkHYWZWFO2QGG4Gtq9VYRJjJddAzKx1tUNiqHWNYWfglGzHNzOzltMOb273AOsi\nDa9ReScBSwKH16g8M7Om0vqJIeJ10kqr29SmON4CDgOurUV5ZmbNpvUTQ3IzNWxOimB6BA/Uqjwz\ns2bSa2KQ9NlGBFJnNwA75B2EmVkR9DrBTdJTwKXALcCtwD0R8VZ2bkxEPFrvIMti6d8Et3deuDIw\nk7TS6ps1D8zMrInVY4Lbz4EzgOWB7wDTJN0g6ZfAcQMLs8EingZmA2NrXbTEuhLH17pcM7O89GUj\nmp9FqlZMLR1Q2utgOyjUvsj/AnYirZ9US3OAa2pcpplZbga1VpKknSKiYaNzBtyUlF58EHAgEfvV\nNiozs+bW3/fO1l5Er+uLR5HmNKziBfXMrJ14Eb2eRMwB5gPvyTsUM7Nm1j6JIbkG2KWeN5A4UWKP\net7DzKye2i0xTAF2r/M9/gKcITGqzvcxM6uL9uljSAWMBB4ibdzzRs0C63Ybvgu8EMGJ9bqHmVlf\nufO590LuAI4g4vraRFXtFiiC4vxgzaylufO5d1cCu9XzBk4KZlZkTgxmZtZFOyaG64HNkEY06oYS\nEyTGNOp+ZmaD0X6JIeI14Dpo6JDSVwFPqjOzQmi/xJBcCnyoUTeL4MwIHm/U/czMBqP9RiWlgt4F\n3Aas5uUxzKzVeVRSX0Q8BjxFjbb77C+JERKDT3BmZnXQnokhuYwGNidVOA2YlNO9zcwWqSGJQdJ4\nSTMkPSjpqEVct42kNyXt34CwJgP7NuA+1UwADpD4dk73NzPrUd0Tg6QhwInAeODdwMGSNu7hup8C\nl0NDmlluAlZFWq8B9+oigqeADwB3N/reZma9aUSNYVtgZkQ8Gml9ovOo/kn9q8CFwNMNiAnSvtV/\nA3LZuCeCuRH8M497m5ktSiMSwyhgVtnz2dmxtyltorMv8NvsUKOGSv0VaESzlZlZYTQiMfTlTf5X\nwNHZ3tKiMU1JkPax3hBpjQbdr0cSQyUnKTPL39AG3GMOsGbZ8zVJtYZyWwHnSQIYCewp6Y2ImFxZ\nmKRJZU+nRsTUAUcW8TrSJcBHgf8bcDm1sTzwAYnJEbyZcyxmVmCSxgHjBvz6ek9wkzQUeIDU2ToX\nuBU4OCKm93D9acDFEfHXKudqM8Gta6F7AccS8b6almtm1iSaboJbRLwJTASuAKYB50fEdEkTJE2o\n9/37YAqwPtKYnOMwM2sK7bkkRveCfws8RsRPal72IEhsBzySDW81MxuQpqsxFMS5wMF5B1HFOOBW\nibF5B2Jm7cM1hlTwYsAjwD5E3FPz8gdB4kDgGGBrd0qb2UB4z+eBF/4DYDgRX6tL+YMgMSyCN/KO\nw8yKqeWbktSpeg2xPR34BNLidSp/wJwUzKyRCpcYSHMOai/iIWA6+a242mcSoyU2yTsOM2tNRUwM\nR6lT9ZoZfRpweJ3KrqVNgd3zDsLMWlMRE8MS1G+/5guA7bMd3ppWBP+I4Jd5x2FmramIieHHwNF1\nKTniVeAs4At1Kd/MrACKmBjOp77NPb8DDm/GTuhFkfiuxCSJYXnHYmbF5uGq1W90NfAHIs6r+71q\nRGIN4BRgFeCDETyTc0hm1iQ8j6E2N/oIaVLZ9hToByQhYB/g4ggW5h2PmTUHJ4ba3GgI8B/gUCJu\nrPv9zMzqqOUnuDVE2vbzV8CReYdSCxIfl1g27zjMrBgKnRjUqeXVqf+t07yG04BxSOvXoeyGkVgM\n2IHGbMpkZi2g0IkBeIm0AdBHal5yxMukXd2+W/OyGyiChRF8LYL5ecdiZsVQ+D4GdWov4GfA2OiI\nt2p8wxHATGC7bMmMliGxE3B/BM/lHYuZ1Vc79jH8A5gPHFbzkiPmAydS8FpDDz4IzJD4quc+mFm5\nwtcYANSpbYG/ARtGR7xU45uuADwIbEvEwzUtO2fZQnzfAr4QwX/zjsfM6qMdawxER9wKTAa2rX3h\n8TzwG+A7NS87ZxHcH8FhTgpmVq4lagwNuPGKpHkN2xDxSMPv32AShwF3RHB/3rGY2eC1ZY2h7iKe\nA04Cfph3KA3yavYwszbkGkPfb74sMAP4OBE35RJDjrLlNuSlNsyKxzWGeknzGo4GTkBqx5/brsD9\nEp+XWCrvYMysflryDU6dkjq1Th2KPgdYCBxSh7Kb3dXARGBfWnP4rpllWrIpSZ0aDdwNbB4dMbvG\nQWwH/BXYMKtFtB2JxdykZFYcbkoCsmRwIvDr2hcet5A+Pbfc8NW+qkwKEkMkzpVYLq+YzKx2WjIx\nZH4CbKJO7VOHso8CPoe0WR3KLqo/RfBi3kGY2eC1ZFPS29d3alfgdGDT6IgXahzM4cCXSZv5vFHT\nsltENrN6Q+AST6Izy4+bkspER1xNWkvp23Uo/lTgGdKSElbdcsBXgTkSn8g7GDPrm3ZYo/9IoLar\nrgJEBNLngTuQ/k7Ev2t+j4KL4EZgnMSYvGMxs75r6aakhpAmAIcD7yPizbzDKRKJPwDfi2Be3rGY\ntTI3JTXeH4DngUk5x1Eo2UzqS0nNcWbWRJwYBitVuQ4FPo00Pu9wiiKCiODvEV2b+SQ2krhM4nMS\nq+YVn1k7a7umJHVqOWBEdMTjNQorK1g7A+cDWxM1nlTXRiSWAfYhbdf6SgSfzTkks8Lr94jONkwM\nnyJ1SG8fHbGgNpGVCtd3gL2AXTyEtT4k3gvMj2B63rGYFYX7GHp3JmlvhV/UoeyfAC+R9qC2+lgH\nGJ13EGatrGGJQdJ4STMkPSjpqCrnPynpHkn3SrpBdZpVHB0RwOeBPdSpA2pbeCwEPgHsifTlmpZt\nAERwdgRTKo9L/F7ipxK7eg9rs8FpSGKQNIS0dtF44N3AwZI2rrjsYWCniNgM+AFptE9dZLOgDwBO\nUqc2rW3h8TzwIeB7SHvVtGxblFOBBcBxwMicYzErtEbVGLYFZkbEo5Ha3s8jLd/8toi4KeLtZStu\noc7NBdERdwJHAPvVvvB4CPgocAbS2JqXb91EcEsEHRFsF8ET5ecklpI4Jxsia2a9aNTM51HArLLn\ns4HtFnH94cBldY0IiI44p36Fx41IE4FLkHYm4uG63cv64swIuoy0yFaDXRe4LwJPTjTLNCox9Hno\nk6RdgM8CO/RwflLZ06kRMXVQkdVTxPlIKwFXZcmhtkNkrU8ieI20ZlaldYCzgdESJ0dwZGMjM6sP\nSeOAcQN9faMSwxxgzbLna5JqDV1kHc5/BMZHaqvvJiIm1SPAuon4DdISwNVIOxExN++QLIngbuDd\nEisCK1eel9gKGB7B1EbHZjYY2QfmqaXnkjr68/pG9THcDqwvaYykxYEDgcnlF0hai7Qz2iERMbNB\ncXWjTg2peaERvwROIdUcVqt5+TYoETwXwQNVTg0Hlq88KLG2xBr1j8wsHw1JDJEWl5sIXAFMA86P\niOmSJigtQgfwfWAF4LeS7pJ0ayNiK6dOLQZcp06Nq3nhEccBZwE3IK1b8/Kt5iKYGsHfq5z6GHCf\nxByJDzc6LrN6a7uZz73eI23ucy6we3TEvbW/gb4EHAvsRcQ9NS/fGiIb4TQGeDmCpyvOHU3anOj+\nPGIzq+QlMWpxn059jLRf9G7REdNqfwMdQJrX8TEirq15+ZYrid2BeyuXE5c4kjQz/h7g7ghezyM+\naz9eEqMGoiMuJO3MNkWd2rD2N4gLSDOk/4z0uZqXb7mKYEoPe0y8DLwP+D3VO7s3kKh9H5dZP7nG\nsKj7derTwErRET+vzw20IfB34J/AN7zwXvvKmqbuBHaI4NWKc5sAD3rfbBsoNyUVjTSC1KexOPAJ\nIrybmb0tW4b8dmBt4AFg8/KJeqXZ3JWT98zKuSmpaCLmA3sDNwJ3Iu2Wc0TWRCJ4JYKNgeWA/aok\ngHeRRvp1ITFM6j7U1qwvXGNoJtIHgD8BZwAdblqyvpBYKpvdXX5sU+Am4FXg8gg+VXF+KGn/wS47\n6Flrco2hztSpddSp/etSeMRVwBbA5sDN1GnpcWstlUkhO3YfaYLe5sCPq7xsR9Ke211IrCQxNltH\nytqUE0P/LQucoE4drU7VvvYS8RRp2e6TSDOlO0izxc36JdtXe24EM6qcu4b0/6zSpqSJmE9InFF5\nUmJ1idqP1LOm4qakgcTRqVHAxaRRJF+OjqjPeHRpNGlo41rAVzznwRol69ReqsoIqT2BsRH8pOL4\nDsAewOPArVmNxZqEm5IaIDpiDrATaSz6VerU6vW5UcwmdUz/D3AW0llIXqPH6i6rbbxa5fg/KpNC\npnTt+6mypL7EfhKfrHJ8Sc/daD5ODAMUHfEyaZOfKVDH9XIigog/k3a+mwXci3Qs0jJ1u6dZP0Vw\nV7ZR0mciOLnKJdOhai3i68BrErMkJlSelBgjUZ8PXtYjNyUVTVqA70ekGksncAppkUKzQpJYHFgd\nWFBlGZFjLaoSAAANWElEQVSJwAsRnFlx/LOk2smTwEUR3NaoeIvIE9zahbQ18FPSQm4/Bc4gwjNj\nrS1IbAFsCawGXBXBzRXnf03q6zir4vguwBrA06T1qp5qUMi5cmJoEurUqtHRgFnM0vuB7wKbAMcD\nfySiW9uwWTuRWBqgSuf5p4EPkvoHj4/g8orz3wduiOCqiuObAksAzwBPFG15EieGJpDt63AXcBvw\nzeiI+fW/qbYCvkPaEvUkUoJ4su73NWshEu8Gnq3SpNVJGgiyCvClCC6pOP8t4OoI7qg4vhEwBHgO\neDqvvcU9KqkJREcsJE0gegO4X53ap/43jTuI+CjwAWAUMB3pHKQdUB3mW5i1oAimVVsZN+tY3yqC\nNSuTQuY2Un9HpQnAn4G7gV0qT0ocnS2SWHl8U4nNJd6V9cE0lGsMdZbtBncyqQbx9eiIbntd1+fG\nGgEcBnyFNJTwd8D59LCXtpk1nsRuwL8jeKLi+P+RBpiMAA6O4MaK878ATq3cDCorbwlgPnBPBC+n\n425Kajrq1FLA0cBF0RF3N/bmWgzYDTic1LY6hbQW0xVei8msmCS2A/4TwfMVx39A6pQfAXyxNNHQ\nicF6Jq0AfJxUk1gPuAC4ELieCC+mZtainBgKRp1aEvhvdDT4FyGtDxxA2th+DeBvpCQx1TUJs9bi\nzufi6SQtq7F9Q+8a8SARPyJiC9J2kzOBHwJPIV2I9LlsrSYzazOuMeRMnRoKfBr4PvAgabLalIbX\nIN4OSKuR+iLGkxZFmwtcDvwDuJGIBbnEZWYD5qakglKnFgcOBr4NvAi8PzpybveXhgDbkJLEnsB7\ngDuAfwHXAjcR8Up+AZpZXzgxFFw2OW6T6Ih7846lG2k5UrPTTtljc9LCaNcCNwO3EjEnvwDNrBon\nhhamTo0AXsitmamStBSwPWky37ak5ZZfB24te9yR7WttZjlxYmhh6tRJwK7AmcA50RGP5htRhTTD\n+l2kJFF6bElaX+Ze4J7s33uBmR4ia9YYTgwtLNtKdAfgk6T5CA8AZwOnR0eTLpyXJtitA4wFNit7\nrAZMIyWJaaTv5QHgES8jblZbTgxtIuus3p2UIL4UHdFtQ/imlvorNiEliY2BDbPHasAjvJMoZpBG\naz0CPEnEwlziNSswJwYDQJ1anrTr223RUaBP4KnfYj1gI95JFusDawPLAY8BD5MSRdeH14Eyq8qJ\nwQBQpzYnrYm0FjCVtEbSFGBm03Re91faznQMKUmUHuuUfR3AbGBO2b9zKo49Q5H+05vVgBODdaFO\nrUpaRG/37N/zoyO+kW9UdZA6vkeQlhwfvYh/lyFN2psDPAHMyx5PlX2dnnuOhrUIJwbrUdZ5vUR0\ndJ+9nC0PvhJpefBHClur6E1qqiolidWAVcseq1Q8f5OuSeMZ4FnSpivPlj3eeR7xegO/G7M+cWKw\nAVGnDibNvN4CGE7aWORO4A/RETPyjC0XqQYynK6JYqWyx4pVvl4RWEDXxPEc8EKVx/wqx170iCyr\nBycGGzR1amVSgtgCmBwdMb3KNbuSNgB6EHiuZWsY/ZGSyXJ0TRorAMuTmrmW7+WxHOln2j1hwMsD\neLziUVwGTgzWIOrUcaRF9tbLDj2cPb4eHfF4boEVWZrzsSzVE8Yy2bn+PJYBXqOUJNK/r2bHXiv7\nutqx/px/zTWd5taUiUHSeOBXpE2xT46In1a55tekhdpeBT4dEXdVucaJoclk/RYr8M4IoSuiI16s\nct0lpN9/aaRQqQP4ymp9HlYDKdEsRddksXR2bKmyr6sd6+/5hcB/qzwW1OH4G9nj9R6+7vrcM+yb\nLzEordD5AGlEzBzSptkHR7zTPCFpL2BiROwlaTvghIjotj9BMyYGSeMiYmrecZRrypg6tRlT2Ivd\neY7U+TuKtEHQJ6Kj+1pK6tSZpD/sp8sezwOXR0ftOnib8mdVtJhSE9pQ0l7DlY8la3C88tgwYNil\nsOKHUqIYlj0W7+HroKeksaiE0vO5N8seb1U8f/NEWGtiamJ9s8qj2/V9ONef4wurDcfu73vn0L5e\nOAjbAjMj0ro+ks4D9gXK2633IY25JyJukTRC0qoRMa8B8Q3WONI8gWYyjiaLKTriXk3S/nF9/KGP\nLzmfNGpoZVICGUuqmUypdrE6NY30R1veqfsycES1RKJO7QEsYGUOVqeeIDW1vALMb4L+knE02e+P\nRcWU3ohKb54vNyqgvaVJETGp1wvTh9OeksaiEkpP54aQ3jtLj/LnS94Im05MLR+V53p6TS2PL4a0\nkJQ0So9+N/M1IjGMAmaVPZ9NWoWzt2tGk4YIWhuKjrikny/5EF07eUeQ2th7akY4AliO9ViP9Ka3\nTPZYhfQG14U6NT0rq9SkUfp3n2ozy9WpH5KaV0qf5EqfNE+Iju4dwurURyj9EY9inWz48JvAjT1c\nv15WfunxVvbvk9USmzq1VMX1C5sgATZGakoq9YvU3bnSpHP6krDqITUfLkZKGOWPfq0K0IjE0Nf/\nfJXVnPb4T2s1ER3xSD+v/xCAJmlS3NinP+J96d60sSQ9J57SJ8ahpHb40tc9+RTp0+hQRrEhacb6\nUNK+F9VcRukTYvrDL70hjKL6386zvPMmsRggdSqAYdU2hFKnnib9TQYQvJ+l1akvAqN6uP7RrNyo\neKzfw/XTerh+bA/X39bt+u1ZQ536nx4S53V0fU8p/Ux27uH6qXR/DwLYpYfrr+6h/N2qlIE6NaWH\n8vfoofwrerh+fA/XXwaISd2u/1B0xELUvxb4RvQxbA9Miojx2fNjgIXlHdCSfgdMjYjzsuczgJ0r\nm5IkOVmYmQ1As/Ux3A6sL2kMaSTKgaSJVOUmAxOB87JEMr9a/0KzdTybmbWiuieGiHhT0kTgClI1\n9pSImC5pQnb+9xFxmaS9JM0kdQB+pt5xmZlZdYWa4GZmZvW3WN4B9IWkUyXNk3Rf3rGUSFpT0jWS\n/i3pfkn/rwliWlLSLZLuljRN0nF5x1QiaYikuyRdnHcsAJIelXRvFtOteccDkA3TvlDS9Oz3120u\nTw4xbZj9jEqPF5rk//ox2d/efZLOkbREE8R0RBbP/ZKOyCmGbu+VklaUNEXSfyT9U9KI3sopRGIA\nTgPG5x1EhTeAr0fEe4Dtga9I2jjPgCJiAbBLRGxO2hltF0nvzzOmMkeQtvBslipqAOMiYouI2Dbv\nYDInAJdFxMak31+3NaoaLSIeyH5GWwBbkUZbXZRnTFl/5eeBLSNiU1IT9UE5x7QJ8DlgG9Kcm70l\nrZtDKNXeK48GpkTEBsBV2fNFKkRiiIjr6Oc43HqLiCcj4u7s65dJf8Rr5BsVRLy99/PipD+Y53IM\nBwBJo4G9gJOpPgQvL00Ti6TlgR0j4lRIfXMR8ULOYVXaDXgoImb1emV9vUj6YLa0pKGkJTnm5BsS\nGwG3RMSCSPMm/gXs3+ggenivfHsCcfbvR3orpxCJodlln2C2AG7JNxKQtJiku0mTA6+JiGl5xwT8\nEvgWaWJVswjgSkm3S/p83sGQ1pp6WtJpku6U9EdJS+cdVIWDgHPyDiIingN+DjxOGuk4PyKuzDcq\n7gd2zJptliZNuBydc0wl5atIzCMtIb9ITgyDJGlZ4ELgiKzmkKuIWJg1JY0GdpI0Ls94JO0NPJUt\nitg0n9CBHbLmkT1JzYA75hzPUGBL4DcRsSVpdF6vVf5GkbQ48GHgz00Qy7rA10jbvK4BLCvpk3nG\nFBEzgJ8C/wT+Qdrwqpk+CAEQabRRr825TgyDIGkY8BfgrIj4W97xlMuaIS4Fts45lPcB+0h6BDgX\n2FXSn3KOiYh4Ivv3aVKbed79DLOB2RFxW/b8QlKiaBZ7AndkP6+8bQ3cGBHPRlru+6+k/2e5iohT\nI2LriNiZtGbXA3nHlJknaTUASauTdiRcJCeGAVJaUfIUYFpE/CrveAAkjSyNOFDawnJ30ieX3ETE\ndyJizYhYm9QUcXVEfCrPmCQtLWl49vUypH0lch3xFhFPArMkbZAd2g34d44hVTqYlNibwQxge0lL\nZX+Hu5EGNuRK0irZv2sB+9EEzW6ZycBh2deHAb1+iG3EzOdBk3QusDOwkqRZwPcj4rScw9oBOAS4\nV1LpzfeYiLg8x5hWB87QOwtpnRkRV+UYTzXNMCppVeCi9J7CUODsiPhnviEB8FXg7KzZ5iGaZKJn\nljx3I40Eyl1E3JPVOm8nNdfcCfR11d56ulDSSqSO8S9HdN+XpN7K3itHlt4rgZ8AF0g6HHgUOKDX\ncjzBzczMyrkpyczMunBiMDOzLpwYzMysCycGMzPrwonBzMy6cGIwM7MunBjMakjSJEnfyDsOs8Fw\nYjCrLU8MssJzYjAbJEnflfSApOuADfOOx2ywCrEkhlmzkrQVcCBpc5ZhpOUZbs81KLNBcmIwG5wd\ngb9mu+ctkDSZ5lpe3Kzf3JRkNjhB10TgpGCF58RgNjjXAh+RtGS2lPfeuAPaCs5NSWaDEBF3STof\nuIe0AcqtOYdkNmhedtvMzLpwU5KZmXXhxGBmZl04MZiZWRdODGZm1oUTg5mZdeHEYGZmXTgxmJlZ\nF04MZmbWxf8Hg+AK4S/7y8IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105eff190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "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')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scatter Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x105dfbad0>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEPCAYAAACtCNj2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAgCgRlIAANRICgCAGkkBAFAjKQAAav8PkcjmpE7qKLwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1051a4150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(100)\n",
    "y = 0.5 + np.random.normal(size=(100,))\n",
    "scatter(x,y)\n",
    "xlabel('x')\n",
    "ylabel('y')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.LineCollection at 0x1054b9050>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAEACAYAAACnJV25AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQGVI7ABQGRI7AFSGxA4AlSGxA0Bl/h+wrA2GQEbfIAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106949bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatter(x,y)\n",
    "vlines(x.mean(),y.min(),y.max())\n",
    "hlines(x.min(),x.max(),y.mean())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Distributions and Densities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "x = np.random.multivariate_normal([100,70],[[2.,1.7],[1.7,2.]], (100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x106b54190>,\n",
       " <matplotlib.lines.Line2D at 0x106b54410>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncVoAF3vHcZwW4P8DqOOfhSl/EcgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105c01ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x106c72050>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAEACAYAAABMEua6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKREldRGRElFSFxEpkf8PUAe2U+/wEt4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106b6a990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(x[:,0], x[:,1], \"o\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAEACAYAAABMEua6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAADl9JREFUeJzt3X2sZHddx/H3B1piC+hSwW2lYKuUVJBIk1pJmtIFeaia\nQNGAkmAaQhRjLE0goZSgbDAqoCARI3+1pCFQQJRaYoItpqPVIE9pZQtdCtqGJ7sIAlJQKe3XP+Zc\nGS73YToze8/sd9+v5KZnzpw5v0/n3vvZM797zkyqCklSDw8YO4AkaXUsdUlqxFKXpEYsdUlqxFKX\npEYsdUlqZMdST/KoJDcm+USSW5O8ZFh/SpIbktye5Pok+/YmriRpJ9npPPUkpwKnVtUtSR4CfAy4\nGHgh8OWqen2Sy4GHVdUr9iSxJGlbOx6pV9VdVXXLsHw3cBvwSOBZwNXDZlczLXpJ0sjmnlNPcgZw\nDvAhYH9VHRnuOgLsX3kySdL9NlepD1MvfwlcVlXfmL2vpvM3vteAJK2BE3bbIMmJTAv9bVV17bD6\nSJJTq+quJKcBX9ricRa9JC2gqrLoY3cs9SQBrgQ+WVVvmrnrOuAS4HXDf6/d4uFLBdsrSQ5W1cGx\nc+zGnKtlztU6FnIeCxlh+QPi3Y7UzwdeAHw8yc3DuiuA1wLvTvIi4E7gecuEkCStxo6lXlX/yPbz\n7k9bfRxJ0jK8ohQmYweY02TsAHOajB1gTpOxA8xpMnaAOU3GDjCHydgB9sKOFx8tteOkjoU5dUla\nJ8t2p0fqktSIpS5JjVjqktSIpS5JjVjqktTIrm8TIC1rzLeM8AwsHW8sde2RMXrdPtfxx+kXSWrE\nUpekRix1SWrEUpekRix1SWrEUpekRix1SWrEUpekRix1SWrEUpekRix1SWrEUpekRix1SWrEUpek\nRix1SWrEUpekRix1SWrEUpekRix1SWrEUpekRix1SWrEUpekRix1SWrEUpekRix1SWrEUpekRix1\nSWrEUpekRix1SWrEUpekRix1SWrkhLEDSEdTkho7w16pqoydQeOz1NXcXnd6RhhzY1zJ6RdJasVS\nl6RGLHVJasRSl6RGLHVJamTXUk9yVZIjSQ7NrDuY5PNJbh6+Ljq6MSVJ85jnSP2twObSLuCNVXXO\n8PX+1UeTJN1fu5Z6Vd0EfHWLuzwxVpLWzDJz6pcm+ZckVybZt7JEkqSFLXpF6VuA1wzLvwe8AXjR\n5o2SHJy5OamqyYLjSVJLSQ4AB1a2v6rdL2lOcgbwvqp6wrz3JSnfi0Kw8f4rY106f/y8TYC/bz0s\n250LTb8kOW3m5nOAQ9ttK0naO7tOvyS5BrgQeHiSzwGvBg4keSLTQ5I7gBcf1ZSSpLnMNf2y0I6d\nftHA6Ze9Gdfftx5GmX6RJK0nS12SGrHUJakRS12SGrHUJakRS12SGrHUJakRS12SGrHUJakRS12S\nGrHUJakRS12SGrHUJakRS12SGrHUJakRS12SGrHUJakRS12SGtn1M0rVx/Rj5SR1Zqkfd8b6rFBJ\ne8HpF0lqxFKXpEYsdUlqxFKXpEYsdUlqxFKXpEYsdUlqxFKXpEYsdUlqxFKXpEYsdUlqxFKXpEYs\ndUlqxFKXpEYsdUlqxFKXpEYsdUlqxFKXpEYsdUlqxFKXpEYsdUlqxFKXpEYsdUlqxFKXpEYsdUlq\nxFKXpEYsdUlqZNdST3JVkiNJDs2sOyXJDUluT3J9kn1HN6YkaR7zHKm/Fbho07pXADdU1WOBvxtu\nS5JGtmupV9VNwFc3rX4WcPWwfDVw8YpzSZIWsOic+v6qOjIsHwH2ryiPJGkJJyy7g6qqJLXVfUkO\nztycVNVk2fE62O75knT8SXIAOLCy/VXt3i9JzgDeV1VPGG4fBg5U1V1JTgNurKqzNz2mqiqrCtrJ\ntNTH6PXguB3HnI7r71sPy3bnotMv1wGXDMuXANcuGkCStDq7HqknuQa4EHg40/nz3wX+Gng38Gjg\nTuB5VfW1TY/zSH0bHql3HtcjdS1n2e6ca/ploR1b6tuy1DuPa6lrOWNNv0iS1pClLkmNWOqS1Iil\nLkmNWOqS1IilLkmNWOqS1IilLkmNWOqS1IilLkmNWOqS1IilLkmNWOqS1IilLkmNWOqS1IilLkmN\nWOqS1IilLkmNnDB2AEnHrulHM47Dj+/bmqUuaUljff6stuL0iyQ1YqlLUiOWuiQ1YqlLUiOWuiQ1\nYqlLUiOWuiQ1YqlLUiOWuiQ14hWlUhNjXrKv9WGpS214ub6cfpGkVix1SWrEUpekRix1SWrEUpek\nRix1SWrEUpekRix1SWrEUpekRo77K0q9tFpSJ8d9qU/tda97abWko8PpF0lqxFKXpEYsdUlqxFKX\npEYsdUlqZKmzX5LcCfwXcC9wT1Wdt4pQkqTFLHtKYwEHquo/VxFGkrScVUy/eNK1JK2JZUu9gA8k\n+WiSX19FIEnS4padfjm/qv49ySOAG5IcrqqbNu5McnBm20lVTZYcT5JaSXIAOLCy/VWt5hL5JK8G\n7q6qNwy3q6rWfmpm+t4vY7xNwFif/O64/cY8Psc9FvplEct258LTL0lOTvLQYfnBwDOAQ4vuT5K0\nvGWmX/YD702ysZ+3V9X1K0klSVrIyqZfvm/HTr/sNCrH20vl42fc4+n/ddxxj4V+WcRo0y+SpPVj\nqUtSI5a6JDViqUtSI5a6JDViqUtSI5a6JDViqUtSI5a6JDViqUtSI5a6JDViqUtSI5a6JDViqUtS\nI5a6JDViqUtSI8t+8PRKJHkMcPLYOSTpWLcWpQ4P/Qt48Flw0r17O+4dP7i340nS0bUmpf6gE+E9\nD4bz93jclp+GJek45py6JDViqUtSI5a6JDViqUtSI5a6JDViqUtSI5a6JDViqUtSI5a6JDWyJleU\nStL9k6T2esyqWvvL0C11Sceove70te9zwOkXSWrFUpekRix1SWrEUpekRix1SWrEUpekRix1SWrE\nUpekRix1SWrEUpekRix1SWrEUpekRix1SWrEUpekRix1SWrEUpekRhYu9SQXJTmc5NNJLl9lKEnS\nYhYq9SQPBP4MuAh4HPD8JD+5ymDabDJ2gDlNxg4wp8nYAeY0GTvAnCZjB5jDZOwAe2LRI/XzgM9U\n1Z1VdQ/wTuDZq4ul7zcZO8CcJmMHmNNk7ABzmowdYE6TsQPMYTJ2gD2xaKk/EvjczO3PD+skSSNa\n9IOnV/yJr9+5Fy79Juz7zmr3u6sf2uPxJOmoStX97+ckTwIOVtVFw+0rgPuq6nUz2+z1R31LUgtV\nlUUfu2ipnwB8Cvg54IvAh4HnV9VtiwaRJC1voemXqvpOkt8G/hZ4IHClhS5J41voSF2StJ5WdkVp\nksuSHEpya5LLZtZfmuS2Yf3rdtrHXtgqZ5J3Jbl5+Lojyc1rmPG8JB8eMn4kyc+MmXGHnD+d5INJ\nPp7kuiQPHSHXVUmOJDk0s+6UJDckuT3J9Un2zdx3xXAR3eEkz1jHnMP6G5N8I8mb9yrjAjmfnuSj\nw/f/o0mesqY5z5v5nf94kl9Zx5wz9z86yd1JXrbrAFW19BfwU8Ah4AeYTsfcAPwE8JRh+cRhu0es\nYrxV59y0zR8Dr1q3jExPsn3msM3PAzeu43MJfAS4YNjmhcBrRsh2AXAOcGhm3euBlw/LlwOvHZYf\nB9wCnAicAXwGeMAa5jwZOB94MfDmNX4+nwicOiw/Hvj8muY8aeP7DJwKfBl44LrlnLn/PcC7gJft\ntv9VHamfDXyoqv6nqu4F/h74JeA3gT+s6QVKVNV/rGi8RW2XE4AkAZ4HXDNSPtg+4xf57imY+4Av\njJRvw1Y5fxk4q6puGrb5wLBuTw3jf3XT6mcBVw/LVwMXD8vPBq6pqnuq6k6mpX7euuWsqm9V1T8B\n/7sX2Wbdz5y3VNVdw/pPAiclOXENc/53Vd03rD8J+Prwc7xWOQGSXAz8G9Pnc1erKvVbgQuGlxAn\nA78APAp4LPDkJP+cZJLk3BWNt6jNOX8ROH3m/guAI1X1r6Okm9ou4yuANyb5LPBHwBUjZoStv+en\nA7cm2bi6+LlMfw7Wwf6qOjIsHwH2D8s/yvTiuQ1jX0i3Xc4N6/JHsN1ywvQf9I9tHNSNZNucwxTM\nJ4BPAC8dI9yMLXMmeQjwcuDgvDta9OKj71FVh4f58uuBbzJ9OXvvsP+HVdWThjngdwM/vooxV5Tz\nZuC+mU2eD7xjjGwbdsh4JXBpVb03yXOBq4Cnr1HOje/5i4A/TfI7wHXAt8fKuJ2qql2uo1iL4pwj\n51rYKmeSxwOvZcSf0c0256yqDwOPT3I28P4kk6r6+ngJ/z/XbM6DwJ9U1beGmYRdrewPpVV1VVWd\nW1UXMn1pcTvTo56/Gu7/CHBfkh9e1ZiL2JTza0zPt9849/45TOetRrXNc/mzVfXeYZP3sEdTBDvZ\n6rmsqk9V1TOr6lym7wk05queWUeSnAqQ5DTgS8P6L/C9ryZOZ9ypre1yrpttcyY5nenv/a9V1R0j\n5duw6/NZVYeZ/pw+Zo+zzdou53nA65PcAVwGvDLJb+20o1We/fIjw38fzXQO+O3AtcBTh/WPBR5U\nVV9Z1ZiL2JTzOXz3yPxpwG1V9cWxsm3Y4rl8B/CZJBcOmzyVadGPaqvnMskjhnUPAF4FvGW8hN/j\nOuCSYfkSpj+bG+t/NcmDkpwJnMX0YrqxbJdzw8JXGq7YljmHszb+Bri8qj44UrZZ2+U8YziQI8mP\nMf2+f3qUhFNb5qyqJ1fVmVV1JvAm4Per6s933NMK/6L7D0znpm4BnjKsOxF4G9OzJD4GHFjVeKvM\nOax/K/AbY+fb4bk8F/jQsO6DwDlrmvMlTF/9fAr4g5FyXcP0D8vfZvrGcy8ETmH6h9vbmU4Z7ZvZ\n/pVM/0B6mOEMozXNeSfwFeAbwGeBs9ctJ9N/yO9mOm248fXwNcz5AqZ/F7qZ6T/iF63r933mca8G\nXrrb/r34SJIa8ePsJKkRS12SGrHUJakRS12SGrHUJakRS12SGrHUJakRS12SGvk/b5a8vd9YnMQA\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106c91050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0h = hist(x[:,0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEACAYAAACuzv3DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106dfee50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1h = hist(x[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEACAYAAACuzv3DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10784fe10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n,bins,bars = hist(x[:,1])\n",
    "\n",
    "y = normpdf(bins, mean(x[:,1]), std(x[:,1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x107a86590>]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1078596d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(bins,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([  5.,   5.,   9.,  19.,  20.,  14.,  14.,   7.,   3.,   4.]),\n",
       " array([ 66.56815084,  67.27565477,  67.98315869,  68.69066262,\n",
       "         69.39816654,  70.10567047,  70.8131744 ,  71.52067832,\n",
       "         72.22818225,  72.93568618,  73.6431901 ]),\n",
       " <a list of 10 Patch objects>)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEACAYAAACuzv3DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107a9d6d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(bins,y)\n",
    "hist(x[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 0.07067099,  0.07067099,  0.12720777,  0.26854975,  0.28268394,\n",
       "         0.19787876,  0.19787876,  0.09893938,  0.04240259,  0.05653679]),\n",
       " array([ 66.56815084,  67.27565477,  67.98315869,  68.69066262,\n",
       "         69.39816654,  70.10567047,  70.8131744 ,  71.52067832,\n",
       "         72.22818225,  72.93568618,  73.6431901 ]),\n",
       " <a list of 10 Patch objects>)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4LI3M2sA/x96f9HuC9mz5AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107bf9d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(bins,y)\n",
    "hist(x[:,1],normed=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Saving to a file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4LI3M2sA/x96f9HuC9mz5AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107e38090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(bins,y)\n",
    "hist(x[:,1],normed=1)\n",
    "savefig(\"hist.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "hist.png\r\n"
     ]
    }
   ],
   "source": [
    "!ls *.png"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from scipy.stats import gaussian_kde"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "y = x[:,1]\n",
    "density = gaussian_kde(y)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1090eb5d0>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEPCAYAAABcA4N7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107c06550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(y.min(),y.max(),30)\n",
    "plot(xs, density(xs))\n",
    "xlabel('y')\n",
    "ylabel('f(y)')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1090ebdd0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEPCAYAAABcA4N7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n68hFYWZmHbkozMysIxeFmZl19P8BPii6ubQF+4IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1093b9190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "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"
   ]
  },
  {
   "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."
   ]
  }
 ],
 "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": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}