Deyan Ginev deleted folder figures/pdf  almost 9 years ago

Commit id: bf7100a489c56b649e1bc63b2e529feeac51c55c

deletions | additions      

         

\textbf{\label{fig:ipython}} Working with the Normal Distribution in iPython\\  Source: \url{http://www.arachnoid.com/IPython/normal_distribution.html}           

{  "metadata": {  "name": "",  "signature": "sha256:485af5a771feb5821d962535a863ff3122f2407fa16457cbfed4796af13f3790"  },  "nbformat": 3,  "nbformat_minor": 0,  "worksheets": [  {  "cells": [  {  "cell_type": "code",  "collapsed": false,  "input": [  "import numpy as np\n",  "from sympy import *\n",  "from IPython.display import *\n",  "\n",  "init_printing\n",  "import matplotlib.pyplot as plt\n",  "%matplotlib inline\n",  "fig = plt.gcf()\n",  "fig.set_size_inches(8,5)\n",  "var('a b x sigma mu')\n",  "pdf = Lambda((x,mu,sigma),\n",  " (1/(sigma * sqrt(2*pi)) * exp(-(mu-x)**2 / (2*sigma**2)))\n",  ")\n",  "\n",  "x = np.linspace(50,150,100)\n",  "y = np.array([pdf(v,100,15) for v in x],dtype='float')\n",  "plt.grid(True)\n",  "plt.title('Probability Density Function')\n",  "plt.xlabel('IQ')\n",  "plt.ylabel('Y')\n",  "plt.text(122,0.023,'$\\mu = 100$',fontsize=16)\n",  "plt.text(122,0.021,'$\\sigma = 15$',fontsize=16)\n",  "plt.plot(x,y,color='gray')\n",  "plt.fill_between(x,y,0,color='#c0f0c0')\n",  "plt.show()"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "metadata": {},  "output_type": "display_data",  "png": "iVBORw0KGgoAAAANSUhEUgAAAgEAAAFOCAYAAAAfAM5FAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XtcVHX+P/DXcJX7nRnuoKBcQi5i6Kot5d1NamtNtrzT\n5tq6bpfHltW2te2vXW3zu5Vai655LTPTwoomy/sNEAQEQUBlFJCLCiheEJjh94fLJAFygGHOzJzX\n8/Ho8fDMnDnnzbs5M+85n/f5HFlbW1sbiIiISHLMxA6AiIiIxMEigIiISKJYBBAREUkUiwAiIiKJ\nYhFAREQkUSwCiIiIJIpFAJGOmJmZ4dy5c316bWBgIPbs2dPlc4cOHUJoaGiHdffu3QsA+Mc//oHf\n/e53fdqnIZk2bRo2b94sdhg64+DgAJVKJXYYRD1iEUCSFhgYCFtbWzg4OEChUGD+/Pm4ceOG3uOQ\nyWSQyWRdPjdu3DicPn26w7rtXn31VaxduxYAoFKpYGZmBo1G06cYNmzYAHNzczg4OMDBwQGDBw/G\nggULUFpa2qft9UZaWhpmz56tjWPcuHF93ta8efNgbW2t/TscHBywfft2XYXaSUJCAtatW9fhscbG\nRgQGBg7YPol0hUUASZpMJsM333yDxsZGnDhxAllZWfh//+//dVqvtbVVhOj6pj/zf40ZMwaNjY24\ndu0afvzxR9jY2GDEiBE4deqUDiMcWDKZDC+//DIaGxu1/82YMWNA90dkrFgEEP2Pt7c3pkyZov3C\nMzMzw4cffoiQkBAMGzYMALB27VqEhITAzc0NjzzyCKqqqjps49tvv8WQIUPg4eGBl156SfuFfPbs\nWTz00ENwd3eHh4cHZs2ahatXr3Z4bWZmJiIiIuDq6ooFCxbg9u3bAID9+/fDz8+vy5jffPNN7S/o\nBx54AADg7OwMR0dHHDx4EG5ubigoKNCuX1tbCzs7O1y5cqXL7bXHK5PJMHjwYKxevRq//OUv8eab\nb2rXSU9Pxy9+8Qu4uLggOjoaBw4c0D6XkJCAv/71rxg7diwcHR0xefJk7b6ampowa9YsuLu7w8XF\nBffffz8uXbqkfd26detw+vRp/P73v8exY8fg4OAAV1dXZGVlQS6Xdyhudu7ciejo6C7/hu7MmzcP\nr7/+unb553kNDAzEihUrEBUVBWdnZyQlJWn/HwBAamoqoqOj4eTkhODgYHz//fd47bXXcOjQISxe\nvBgODg5YsmQJgI5DQ1evXsWcOXPg6emJwMBAvP3229q/ZcOGDRg7diz+/Oc/w9XVFYMHD4ZSqezV\n30XUHywCSPLaP5DLy8vx3XffISYmRvtcamoqjh8/jsLCQuzduxevvvoqtm/fjqqqKgQEBCApKanD\ntr766itkZ2fjxIkTSE1Nxccff6x97rXXXkNVVRWKiopQXl7e4Yu1ra0Nn376KXbv3o2zZ8+ipKSk\nyzMSP3f3r9BDhw4BuPOlc+3aNTzwwANISkrCli1btOts3boVEyZMgJubm+D8PPbYY9ptV1ZW4uGH\nH8Zf//pX1NfX491338Xjjz/eoajYunUrNmzYgNraWjQ3N+Pdd98FAGzcuBHXrl1DRUUF6urqkJKS\ngkGDBmn/DplMhtDQUKSkpGD06NFobGxEXV0d4uLi4O7uju+//167j82bN2Pu3LndxtzV2ZB7Dbm0\nP799+3Z8//33KCsrw8mTJ7FhwwYAdwq0uXPnYsWKFbh69SoOHjyo/UIfN24cVq9ejcbGRnzwwQed\ntvvHP/4RjY2NKCsrw4EDB7Bp0yasX79e+3xmZiZCQ0Nx5coVvPTSS0hOTu42RiJdYxFAktbW1oZH\nH30ULi4uGDduHBISEvDqq69qn3/llVfg7OwMa2trfPLJJ0hOTkZ0dDSsrKzwz3/+E8eOHcOFCxe0\n67/88stwdnaGn58fnnvuOWzduhUAMGTIEIwfPx6WlpZwd3fH888/3+EXtEwmw+LFi+Hj4wMXFxe8\n9tpr2tf2FH9X/243Z86cDtvZvHmz9syBUF5eXqirqwMAbNmyBdOmTcOUKVMAABMmTEBcXBy+/fZb\n7d8xf/58BAcHY9CgQXjiiSeQm5sLALCyssKVK1dQWloKmUyGmJgYODg43PNvuvvvaC9m6urqsHv3\nbjz55JNdxtvW1oZ3330XLi4ucHFxgaenp/bxnoZKlixZAoVCARcXF0yfPl0b+7p165CcnIzx48cD\nuHPWqP3sUHcxA4Barca2bdvwz3/+E3Z2dggICMCLL77YoQkyICAAycnJkMlkmDNnDqqqqlBbW3vP\nOIl0hUUASZpMJkNqairq6+uhUqmwatUqWFtba5+/+3Rx+6//dnZ2dnBzc0NlZWWX6/v7++PixYsA\ngJqaGiQlJcHX1xdOTk6YPXt2p1Py3b22P+Lj42FjY4P9+/fj9OnTOHv2LBITE3u1jcrKSu2Zg/Pn\nz2P79u3aL1gXFxccOXIE1dXV2vUVCoX23zY2Nrh+/ToAYPbs2Zg8eTKSkpLg4+ODl19+WXCvxVNP\nPYWvv/4aN2/exOeff44HHngAcrm8y3VlMhn+/Oc/o76+HvX19dovVCFj9z+Pvb1JtKKiAkOGDOn2\ndd1t+/Lly2hpaenwvvH39+/wnrl7n7a2tgCgzRnRQGMRQHQPd3+4e3t7d7js68aNG7hy5Qp8fHy0\nj919VuDChQva51599VWYm5ujoKAAV69exebNmzt18f/8td7e3n2O9W5z587Fli1bsHnzZsyYMQNW\nVla92u6XX36p7db39/fH7NmztV+w9fX1aGxsxEsvvdTjdiwsLPDXv/4Vp06dwtGjR/HNN99g06ZN\ngv4OX19fjBo1Cjt37sSWLVt6PJvR1S9zOzs73Lx5U7t8d+HSEz8/P5w5c6bL5+5VXLi7u8PS0rLD\n++bChQvw9fUVvG+igcQigEig3/72t1i/fj3y8vJw+/ZtvPrqqxg1ahT8/f2167z77rtoaGhAeXk5\nPvjgA8ycORPAnV92dnZ2cHR0RGVlJf71r3912HZbWxtWr16NyspK1NXV4e233+7Ub9ATDw8PmJmZ\n4ezZsx0enzVrFnbu3IlPPvkEc+bMEbQttVqNsrIy/PGPf8TBgwfxxhtvaLf19ddfY/fu3VCr1Whq\nasL+/fs7/LLt7tT4vn37kJ+fD7VaDQcHB1haWsLc3LzTenK5HBUVFWhpaenw+Jw5c7B8+XIUFBTg\nscce6zb27vYfHR2NtLQ01NfXo7q6Gu+9916PeWjfVnJyMtavX4+9e/dCo9GgsrISxcXF2nh/nvN2\n5ubmeOKJJ/Daa6/h+vXrOH/+PP79739j1qxZPe6bSB9YBBB14+e/8MaPH4+///3vePzxx+Ht7Y2y\nsjJ89tlnHdZ55JFHMGLECMTExODhhx/GggULAABvvPEGTpw4AScnJ0yfPh2PP/54h+3LZDI89dRT\nmDRpEoYMGYKQkBD85S9/6TaWux9vf87W1havvfYaxowZAxcXF2RmZgK48ys2NjYWZmZmGDt27D3/\n3vaufCcnJzz44IO4fv06jh8/joiICAB3fpGnpqbiH//4Bzw9PeHv748VK1Z0+OL9+d/VvlxTU4MZ\nM2bAyckJ4eHhSEhI6PIX/fjx4xEREQGFQqEdzwfuNCheuHABv/71r7UNhT3l5G6zZ89GVFQUAgMD\nMWXKFCQlJfXYKNj+/MiRI7F+/Xo8//zzcHZ2RkJCgvbMzZ/+9Cd88cUXcHV1xXPPPddpOytXroSd\nnR0GDx6McePG4amnnsL8+fO7jZWXHJI+ydr6c1ExERmF5ORk+Pj44K233hI7lH4JCQlBSkoKHnro\nIbFDITIJA3ImQKlUIjQ0FCEhIVi+fHmX6yxZsgQhISGIiopCTk4OgDvXEcfHxyM6Ohrh4eF45ZVX\ntOvX1dVh4sSJGDp0KCZNmoSGhoaBCJ3I5KhUKuzcudPoLz3buXMnZDIZCwAiHdJ5EaBWq7F48WIo\nlUoUFhZi69atKCoq6rBOWloazpw5g9LSUqxZswaLFi0CAAwaNAj79u1Dbm4uTp48iX379uHIkSMA\ngGXLlmHixIkoKSnB+PHjsWzZMl2HTmRyXn/9dURGRuKll17q0KFubBISEvDss89i9erVYodCZFJ0\nPhxw7Ngx/O1vf9POetX+Zb106VLtOr///e/x4IMPapumQkNDceDAgQ6X/Ny8eRO//OUvsXHjRoSH\nh3dYp7q6GgkJCR3mUyciIqLesdD1BisrKztc7+zr64uMjIwe16moqIBcLodarcaIESNw9uxZLFq0\nCOHh4QDuNBW1FwlyuRw1NTWd9s2GGiIikpr+/JbX+XCA0C/inwfd/jpzc3Pk5uaioqICBw8exP79\n+7vcR3f7aZ8VjP91/98bb7whegzG8B/zxFwxT8yVof/XXzovAnx8fFBeXq5dLi8v7zQxxs/Xqaio\n6DDhCgA4OTnhV7/6FbKzswFAOwwA3Jm57e5Lh6h3eJ9zYZgn4ZgrYZgn4Zgr/dB5ERAXF4fS0lKo\nVCo0Nzdj27ZtnaYpTUxM1M4Ulp6eDmdnZ8jlcly+fFnb9X/r1i388MMP2juFJSYmYuPGjQDu3Ijk\n0Ucf1XXoREREkqLzngALCwusWrUKkydPhlqtRnJyMsLCwpCSkgIAWLhwIaZNm4a0tDQEBwfDzs5O\ne0etqqoqzJ07FxqNBhqNBrNnz9besGPp0qV44oknsG7dOgQGBuLzzz/XdeiSMW/ePLFDMArMk3DM\nlTDMk3DMlX6Y1GRBMplMJ2MkRERExqC/33ucNliCumq2pM6YJ+GYK2GYJ+GYK/1gEUBERCRRHA4g\nIiIyUhwOICIioj5hESBBHGsThnkSjrkShnkSjrnSDxYBREREEsWeACIiIiPFngAiIiLqExYBEsSx\nNmGYJ+GYK2GYJ+GYK/1gEUBERCRR7AkgIiIyUuwJICIioj5hESBBHGsThnkSjrkShnkSjrnSDxYB\nREREEsWeACIiIiPFngAiIiLqExYBEsSxNmGYJ+GYK2GYJ+GYK/1gEUBERCRR7AkgIiIyUuwJICIi\noj5hESBBHGsThnkSjrkShnkSjrnSDxYBREREEsWeACIiIiPFngAiIiLqExYBEsSxNmGYJ+GYK2GY\nJ+GYK/1gEUBERCRR7Akgol7RaDQoLS/FqeJTOH/2PJquN2mfk8lkcPN2Q0hICKKGRcHF0UXESIlM\nX3+/91gEEJEgTc1NUB5SouhEESxtLOEW5AbXIFfYONto12lTt6GhogFXyq6g/kI9HNwdMHHCRIQF\nhokYOZHpYhFwFxYBwuzfvx8JCQlih2HwmKc7NBoNjhcex4EfD8Dewx5BY4Jg62LbYZ3cw7mIHhvd\n8XVqDS6VXsK5w+cg95cjcVIi3Jzc9Bm6weF7SjjmSpj+fu9Z6DAWIjIxddfq8NmXn+HGtRsYOn4o\nXPyFn943MzeDPFQO98HuOJ95Hin/ScHIB0Zi4uiJAxgxEfUGzwQQUZfKa8rx6aefQh4qR0B8AMzM\n+9dHfLPuJk59cwo+QT54YuoTMDc311GkRNLF4YC7sAgg0o1T505h145dGDx2MBThCp1tt6WpBae+\nOQUbGxvM+c0cDLIapLNtE0kRJwuiXuP1t8JINU9H844i9YtUhE4OFVwA5B7OFbSe5SBLDH90ODRm\nGqRsSMHV61f7E6rRkep7qi+YK/1gEUBEWlmFWTiw+wCiHouCa4DrgOzDzMIMoVNC4eDlgPWfrEdT\nc1PPLyKiAcHhACICAJypOIPPP/0ckYmRcPRyHPD9tbW14fTu0zBrMUNyUjJ7BIj6gMMBRNRvtfW1\n+GLbFxj60FC9FADAnQ+vYROG4VbTLXz+3ed62ScRdcQiQII41iaMVPJ0/dZ1bP5kM3xjfeER4tGn\nbQjtCfg5M3MzRDwcgYqyCigPK/u0DWMilfeULjBX+jEgRYBSqURoaChCQkKwfPnyLtdZsmTJnalF\no6KQk5MDACgvL8eDDz6IiIgI3Hffffjggw+067/55pvw9fVFTEwMYmJioFSa/gcG0UDTaDTY8sUW\nOPk6wTfGV5QY2psFc9JzkFeaJ0oMRFKl854AtVqNYcOG4ccff4SPjw9GjhyJrVu3Iizsp2lD09LS\nsGrVKqSlpSEjIwN/+tOfkJ6ejurqalRXVyM6OhrXr1/HiBEjkJqaitDQUPztb3+Dg4MDXnjhhe7/\nGPYEEPXK7qO7UXCyADFPxPR7HoD+qjtfh+IfirFo4SI42TuJGguRsTC4noDMzEwEBwcjMDAQlpaW\nSEpKQmpqaod1du3ahblz5wIA4uPj0dDQgJqaGigUCkRH35l61N7eHmFhYaisrNS+jl/wRLpzvvo8\nsg5nIWxKmOgFAAC4BrjCc6gntu3aBo1GI3Y4RJKg82mDKysr4efnp1329fVFRkZGj+tUVFRALpdr\nH1OpVMjJyUF8fLz2sZUrV2LTpk2Ii4vDihUr4Ozs3Gn/8+bNQ2BgIADA2dkZ0dHR2vmn28eYpL7c\n/pihxGOoy++9957Jvn+aW5qxfNlyuAe7a+8D0D6u334PgN4s390T0JfXty9r2jTQ1GtwIOsAZDdl\nBpMvXS3n5ubiueeeM5h4DHnZlI+//iy3/1ulUkEXdD4csGPHDiiVSqxduxYAsGXLFmRkZGDlypXa\ndaZPn46lS5dizJgxAIAJEybgnXfeQWxsLADg+vXrSEhIwF/+8hc8+uijAIDa2lp4eNxpWnr99ddR\nVVWFdevWdfxjOBwgyH7emEMQU87TtrRtuFJ3BeEPh0Mmk/V7e13dQKivbly5gdwvcjF3/lz4ePjo\nZJuGwpTfU7rGXAljcMMBPj4+KC8v1y6Xl5fD19f3nutUVFTAx+fOwd7S0oLHH38cs2bN0hYAAODp\n6QmZTAaZTIann34amZmZug5dMnhgCWOqeco/k4+yojIMnTBUJwUAAJ0VAABg52aHwPhAbN+5HWq1\nWmfbNQSm+p4aCMyVfui8CIiLi0NpaSlUKhWam5uxbds2JCYmdlgnMTERmzZtAgCkp6fD2dkZcrkc\nbW1tSE5ORnh4uPaUWbuqqirtv7/88ktERkbqOnQik9fc0gxlmhIhD4XA0sZS7HC65R3lDZmFDHsz\n9oodCpFJ03kRYGFhgVWrVmHy5MkIDw/HzJkzERYWhpSUFKSkpAAApk2bhsGDByM4OBgLFy7Ehx9+\nCAA4cuQItmzZgn379nW6FPDll1/G8OHDERUVhQMHDuDf//63rkOXjLvHlqh7ppgn5WElbF1s4T7Y\nXafb7es8Ad2RyWQIeTAExw8fR/21ep1uW0ym+J4aKMyVfui8MRAApk6diqlTp3Z4bOHChR2WV61a\n1el1Y8eO7bYruP3MARH1TU1dDQoyCzDiyRFihyKInZsdFOEKpO5OxbzfzBM7HCKTxHsHEEnEmi1r\nMEg+CAH3B4gdimDqZjUyN2di+qPTETE4QuxwiAyOwTUGEpHhySrMwtW6q/CL9et5ZQNibmWO4AeC\noUxToqW1RexwiEwOiwAJ4libMKaSp6bmJuzdvRfBCcEwsxiYQ17XPQF3cw92h5W9FX44+sOA7UNf\nTOU9pQ/MlX4MSE8AERmOPcf2wN7dHq4BrmKH0icymQzBCcHI+TwHY0eMhaOdfu5yKCVpaWlYv349\ntm/f3uHx5uZmLF26FJ6enlCr1bh8+TL+9a9/wcLCQtDzZPjYE0Bkwq7fuo4PVn6AmBkxsHW1FTuc\nfinZUwInGyc8MfUJsUMxGampqTh48CDy8/PR2tqKvXs7XpK5dOlS3LhxQzvZ2/PPPw9LS0u88847\ngp6ngceeACLqlvKAEu5D3I2+AACAgPgAlJ4sxaWGS2KHYjIeeeQRrFixAmPGjOn0RXL79m189NFH\nmDlzpvaxGTNm4OOPPxb0PBkHFgESxLE2YYw9T5evXkZxXjECRwUO+L4GsiegnbW9NbwjvfHd3u8G\nfF8DxVDfU139kszLy0NjYyOGDBmifSwgIAB1dXXIycnp8fn+MtRcmRoWAUQm6rt938H7Pm9Y21uL\nHYrO+Mf5o+JMBS7UXBA7lAGnUqkwdOjQDo89+eSTne7KOlDap3a3s7PTPubg4ADgzk3genqejAO7\nNySIc3ILY8x5qqitQHlJOe6fe79e9qfLewfci4W1BfxG+EH5oxLPPPWMXvapS715T33zzTfaO6IC\nd06/p6am4o033uiwXmtrK5599lm0tPR8CWVSUhImT54saP+3bt0CAAwaNEj7mLX1nYKysbFRe1+H\n7p7vL2M+/owJiwAiE/Tdnu/gF+sHy0GGe3+AvvKJ9kHmhkwUny/GsIBhYoczYPbs2YMJEyZol48e\nPQpHR0cMG9bxb7awsMCaNWt0vv+ubtV+/fp1AHe++C0tO7+37n6ejAOHAySIY23CGGueyqrKcLni\nMnyi9XcbXn30BLQztzBHQHwA9u43vpsLCX1PqdVqHDhwAOPHj9c+tmfPHr3+Om6/s+vVq1e1j7X/\nwvf39+/x+f4y1uPP2PBMAJGJ2XtgL3xjfWFuaS52KANGEabA+YzzKLlQgqH+Q3t+gZHJysrCzZs3\nERsbq31sz549mDdvHs6cOQNra2v4+d2Z/bGlpQV/+MMf+jUc0NUtpYcPHw43NzecO3cOHh4eAIDC\nwkI4ODggMjIS5ubm93yejAOLAAniWJswxpinitoK1FyoQfz4eL3uV189Ae3MLMzgF+eH/Qf3Y+gs\n4ykChL6n9uzZA0dHR+2X87Fjx5CdnY2PPvoI33//PZ555qd+CEtLy34PB3R1dYC5uTmSkpKwfft2\nxMffeT9t3boVCxcuhJWVFQD0+Hx/GOPxZ4w4WRCRCdnwxQbIHGUIjA8UO5QBp25VI+PjDCQ9lYQg\n7yCxw9Gphx56CDdu3MD48ePh7e0Nf39/HD58GDKZDMOHD8dTTz2lk/3s3r0bX3zxBb799lvU19fj\n17/+NcaMGYNnn30WAHDjxg0899xzCAgI0M4IuGLFCu2XfE/P08Dr7/ceiwAJ2r9/P6tsAYwtT1VX\nqvDxfz/GqPmjYGGt35N8uYdz9X42AAAuZF1A86VmJCcl633ffSHkPXXr1i24uroiNze3UxOglBjb\n8ScWzhhIRACAPYf2wDvSW+8FgJi8h3uj5kINKmorxA5FZw4fPgxPT09JFwCkPzwTQGQCLjVcwpr/\nrEH8vHhY2pjeZYH3cj7jPDTXNJj3m3lih6IT77//PiorKzn/PgnC4YC7sAggqfrs289wU3MTQx4Y\n0vPKJqb1disy1mdg/tPz4eXmJXY4RHrF4QDqNV5/K4yx5OnazWs4m38WvrG+osWgz3kCfs7C2gKK\n+xTYf2y/aDEIZSzvKUPAXOkHiwAiI3fw+EG4D3Y3qXsE9JZvlC/OFZzD9VvXxQ6FyKhwOIDIiLW0\ntmDF+ysQ+Ugk7D3sxQ5HVEXKIvgp/PCrX/5K7FCI9IbDAUQSln4yHbYutpIvAADAN9YX+Vn5aGnt\neeY8+klaWhpmzJjR6fFPPvkEzz//PAoKClBSUoK///3v2LBhg/4DpAHFIkCCONYmjKHnSaPRICsj\nS9RegHZi9gS0c/B0gK2zLTLyM8QOpVuG9J5KTU3Fiy++iPfeew9Xrlzp9HxLSwvef/99DB8+HJGR\nkbh69SrmzZunt/gMKVemjEUAkZEqLCtEa0srXANdxQ7FYPjE+uB4+nFoNBqxQzF4jzzyCFasWIEx\nY8Z0eTpZJpPh4MGDyMjIQE1NDd59910RoqSBxiJAgjgLlzCGnqfDRw/DN9a3y5u/6JsYswV2xS3I\nDa0trSgsKxQ7lC4Z4nvqXuPJfn5+GDlyZJe3FR5ohpgrU8QigMgIVdRWoK66DvIwudihGBSZTAbf\nGF8cOXZE7FD6rbi4GL/61a9gZ2cHMzMzmJubw9LSEq6urh1u3zuQPv30U6xZswbLly/Hn//8Z6jV\nar3sl/RHOvOLkhbn5BbGkPN04NgBeEd6w9zCMG4XLNa9A7oiD5Oj7FgZLl6+CG93b7HD6UDoe6qo\nqAiPPfYYVq5cia+++gqbN2/G22+/jbNnz3ZYr7W1Fc8++2y/biPcnbi4OHh4eMDT0xMAMH/+fLzy\nyit6m8nQkI8/U8IigMjI3Gi6AVWRCiNnjxQ7FINkbmkORbgChzIPYea0mWKH02ttbW1YuHAh3n//\nfUyYMAEA8OSTT+Lpp5/GpUuX4OHhoV3XwsKi37cR7k5ERESH5bFjx+KFF17AP//5T5ibG0bxSf3H\n4QAJYnUtjKHm6ciJI3ANcDWoyYEM5SxAO+/h3jibfxZNzU1ih9KBkPfU8ePHUVVVhUmTJmkfU6lU\nsLa2hpOT0wBG95Nbt27hrbfe6nTVQGNjI+rq6vQSg6Eef6aGZwKIjIhGo8HJ7JMIeShE7FAMmo2T\nDRy9HHE09ygeuv8hscPplXPnziE2NrbDY9u2bcNjjz0GKyurDo+3tLTgD3/4Q7+GA7pqLC0qKsKy\nZcswZcoUuLm5AQAuXrwINzc3uLu79+bPIQPHIkCCONYmjCHmqeBsAWRmMjj56OcXoVCG1BPQzifK\nB7lHcpEQlwAzM8M46SnkPRUVFYWNGzdql0tKSrB9+3b8+OOPnda1tLTs93BAV1cHREdHY8GCBRgx\nYgQAQK1WIzU1Fa+//rrerkYxxOPPFLEIIDIi6Znp8I7yNojLAg2dS4ALSveXovh8McKCwsQOR7Cw\nsDA89dRTWLZsGSwtLaFSqbB7924oFAqd7mf37t344osv8O2336K+vh5PPfUUxowZg2effRZmZmZ4\n7rnn8OKLL8Le3h41NTVYtGgRkpOTdRoDiY/3DiAyErX1tVi7Zi1GJ4+GuSUbs4SoyKnA7ZrbWDBz\ngdihEA0I3juASCIOZh6EIkzBAqAXFOEKVJVV4crVztPiEhGLAEninNzCGFKemluaUXqyFN7DDeu6\n93aGcO+ArlhYW8BzqCcOZR0SOxQAhvWeMnTMlX6wCCAyAhn5GbD3sIeti63YoRgd7+HeOJ17mrPd\nEXWBPQFERmDlf1fCK8YLHsEePa9MnZz47ATGjh2LkRGcYIlMC3sCiEzchZoLuN5wHW5BbmKHYrS8\nh3sj+0Tnq/PZAAAgAElEQVS22GEQGZwBKQKUSiVCQ0MREhKC5cuXd7nOkiVLEBISgqioKOTk5AAA\nysvL8eCDDyIiIgL33XcfPvjgA+36dXV1mDhxIoYOHYpJkyahoaFhIEKXBI61CWMoeTqadRSKcAXM\nzA23ZjfUnoB2HiEeuHLxCmrra0WNw1DeU8aAudIPnX+qqNVqLF68GEqlEoWFhdi6dSuKioo6rJOW\nloYzZ86gtLQUa9aswaJFiwDcmfji3//+N06dOoX09HSsXr0ap0+fBgAsW7YMEydORElJCcaPH49l\ny5bpOnQig9PU3IRzBefgdZ+X2KEYNXNLc8iHyXE467DYoRAZFJ0XAZmZmQgODkZgYCAsLS2RlJSE\n1NTUDuvs2rULc+fOBQDEx8ejoaEBNTU1UCgUiI6+M+uYvb09wsLCUFlZ2ek1c+fOxVdffaXr0CWD\ns3AJYwh5yszPhIPcATZONmKHck+GNltgV7wjvVGSVyJqg6AhvKeMBXOlHzqfMbCyshJ+fn7aZV9f\nX2RkZPS4TkVFBeTyn+6NrlKpkJOTg/j4eABATU2N9nm5XI6ampou9z9v3jwEBgYCAJydnREdHa19\nM7WfXuIyl41lece3O/DLpF8C+OmUe/sXLpd7t1x6uhQVVRXIPp2N+yPuN4j/v1zmcm+X2/+tUqmg\nCzq/OmDHjh1QKpVYu3YtAGDLli3IyMjAypUrtetMnz4dS5cuxZgxYwAAEyZMwDvvvKO9acb169eR\nkJCAv/zlL3j00UcBAC4uLqivr9duw9XVtdPdrHh1gDD7OSe3IGLn6Xz1eXy65VOMWjDKoPsBAMO8\nd0BXqgurUVdah0VzFomyf7HfU8aEuRLG4K4O8PHxQXl5uXa5vLwcvr6+91ynoqICPj4+AO7cFevx\nxx/HrFmztAUAcOfXf3V1NQCgqqoKnp6eug6dyKAczToKrwgvgy8AjInHUA/UV9Wjpq7rM4lEUqPz\nT5e4uDiUlpZCpVKhubkZ27ZtQ2JiYod1EhMTsWnTJgBAeno6nJ2dIZfL0dbWhuTkZISHh+O5557r\n9Jr2O2tt3LixQ4FAvcPqWhgx89TU3ISyU2VG0xBoDGcBAMDcwhzyUDmOZB0RZf889oRjrvRD50WA\nhYUFVq1ahcmTJyM8PBwzZ85EWFgYUlJSkJKSAgCYNm0aBg8ejODgYCxcuBAffvghAODIkSPYsmUL\n9u3bh5iYGMTExECpVAIAli5dih9++AFDhw7F3r17sXTpUl2HTmQwsk5lwcHTAYMcB4kdislRRChQ\nki9ugyCRoeCMgRLEsTZhxMzT6o9Xw/M+T3gOM45hL2PpCWiXvTUbCQkJiA2N1et+eewJx1wJY3A9\nAUTUP1VXqnD18lW4D3EXOxST5RXhxRkEicAzAUQGZ+funahvqkfwL4PFDsVktd5uRfrH6fjDH/4A\nZwdnscMh6jOeCSAyIWq1GiX5JVBEKMQOxaRZWFvAfbA7juUeEzsUIlGxCJCguyedoO6Jkae80jxY\n21nD3t1e7/vuD0O/d0BXFBEKnMo9BY1Go7d98tgTjrnSDxYBRAYk+0Q2zwLoiZOPEzQaDUrLS8UO\nhUg07AkgMhANjQ1YvXo1Ri0YBQtrnc/oTV24cPwC2hrbMOfXc8QOhahP2BNAZCKO5R6D+2B3FgB6\nJA+Xo7y4HLdu3xI7FCJRsAiQII61CaPPPGk0GhTmFRrtUIAx9gQAgLWdNZx9nJGRn9HzyjrAY084\n5ko/WAQQGYAzFWegblXDycdJ7FAkRx4uR35evthhEImCPQFEBuCT1E/QatOKwPhAsUORHI1ag2P/\nPYZ5C+bB291b7HCIeoU9AURGrrmlGarTKijCjHMowNiZmZtBHipH+ol0sUMh0jsWARLEsTZh9JWn\n46eOw9HT0ahvFmSsPQHtFOEKlBSUDPicATz2hGOu9INFAJHI8nLzIA+Xix2GpNl72MNqkBXyz7I3\ngKSFPQFEIqqtr8XalLUY/bvRMLcwFzscSavIrcDtmttY8MQCsUMhEow9AURGLD03HZ5DPVkAGAD5\nMDmqzlXh+q3rYodCpDcsAiSIY23CDHSeNBoNik8WQxFu/A2Bxt4TAACWNpZw8XNBxsmBmzOAx55w\nzJV+sAggEsnp86cBGeCgcBA7FPofRYQCBXkFYodBpDfsCSASyaadmyBzlMF/pL/YodD/tGnacGzd\nMcyaPQt+cj+xwyHqEXsCiIxQU3MTykvKIQ/jVQGGRGYmgzxUjowc/UwjTCQ2FgESxLE2YQYyT8cL\njsNJ4QRre+sB24c+mUJPQDtFuAJnTp2BWq3W+bZ57AnHXOkHiwAiEZzMO8m5AQyUnZsdrOyskH+G\ncwaQ6WNPAJGe1dbXYu2atfjF07+AmQXrcENUmVeJpqomLJjJOQPIsLEngMjIpOemwzPEkwWAAfMc\n6omqMs4ZQKaPn0ISxLE2YQYiT6Y0N8DdTKknAPhpzoDMk5k63S6PPeGYK/1gEUCkRyUXSjg3gJGQ\nh8tRcJJzBpBpY08AkR5t/moz2uzbEDAyQOxQqAcatQbp69IxZ94c+Hj4iB0OUZfYE0BkJJqam3Dh\n9AUoQk1rKMBUmZmbcc4AMnksAiSIY23C6DpP2YXZcJQ7wtrBNOYGuJup9QS0k4fJUVJQAo1Go5Pt\n8dgTjrnSDxYBRHrCuQGMj72HPSwHWaLgHHsDyDSxJ4BIDy5fvYyUj1Iw+unRMLfkbYONSUVOBZov\nNWP+jPlih0LUCXsCiIxAem46PII9WAAYIc9hnrh49iJuNN0QOxQinWMRIEEcaxNGV3nSaDQ4ffK0\nSQ8FmGpPAABY2VrB2ccZxwuO93tbPPaEY670g0UA0QA7U3EGGrUGTt5OYodCfSQPl6Mgj30BZHrY\nE0A0wD7d9SlarFsQOCpQ7FCojzRqDY799xjmJ8+Hl5uX2OEQabEngMiANbc0Q3VaZXLTBEuNmbkZ\nPId6IiOXcwaQaWERIEEcaxNGF3nKOZ0DOzc7DHIc1P+ADJgp9wS0U4QrUJLfvzkDeOwJx1zpB4sA\nogGUm5cLeZjpNgRKib2nPczMzVCkKhI7FCKdGZAiQKlUIjQ0FCEhIVi+fHmX6yxZsgQhISGIiopC\nTk6O9vEFCxZALpcjMjKyw/pvvvkmfH19ERMTg5iYGCiVyoEIXRISEhLEDsEo9DdP9Y31uFxxGR4h\nHroJyIBFj40WO4QBJ5PJIA+XIzs3u8/b4LEnHHOlH90WAVOnTkVZWVmvN6hWq7F48WIolUoUFhZi\n69atKCrqWDmnpaXhzJkzKC0txZo1a7Bo0SLtc/Pnz+/yC14mk+GFF15ATk4OcnJyMGXKlF7HRqRP\n6bnpcB/sDgsrC7FDIR2Rh8lRXlKOpuYmsUMh0olui4AFCxZg8uTJePvtt9HS0iJ4g5mZmQgODkZg\nYCAsLS2RlJSE1NTUDuvs2rULc+fOBQDEx8ejoaEB1dXVAIBx48bBxcWly22z8183ONYmTH/zVJRf\nZNJzA9xNCj0BAGBtZw0nL6c+zxnAY0845ko/uv2JMmPGDEydOhVvvfUW4uLiMHv2bMhkMgA//Srv\nSmVlJfz8/LTLvr6+yMjI6HGdyspKKBT37qBeuXIlNm3ahLi4OKxYsQLOzs6d1pk3bx4CAwMBAM7O\nzoiOjtaeVmp/U0l9uZ2hxGOoy7m5uX1+/bnKczhdcBpm/mZw8btT1LZ/UbafOueycS57h3vjZN5J\nqK+pAfTu/ZGbm2sw729DX+7P8WfKy+3/VqlU0IV7zhNw+/ZtLF++HJ988gmSkpJgZvbTiYM33nij\ny9fs2LEDSqUSa9euBQBs2bIFGRkZWLlypXad6dOnY+nSpRgzZgwAYMKECXjnnXcQGxsLAFCpVJg+\nfTry8/O1r6mtrYWHx52x1ddffx1VVVVYt25dxz+G8wSQgdj6zVbctriNoNFBYodCOqZp1eDof4/i\nd8/8Dp4unmKHQxLX3++9bs8EKJVKvPDCC5g+fTpycnJga2sraIM+Pj4oLy/XLpeXl8PX1/ee61RU\nVMDHx+ee2/X0/Olge/rppzF9+nRB8RDpW0trC1RFKsQ8ESN2KDQAzCzuzBmQnpOOxIcSxQ6HqF+6\n7Ql4++23sX37dixfvlxwAQAAcXFxKC0thUqlQnNzM7Zt24bExI4HSmJiIjZt2gQASE9Ph7OzM+Ty\ne4+dVlVVaf/95Zdfdrp6gIT7+bAAda2vecopzoGtiy1snG10G5ABk0pPQDtFuALF+cW9njOAx55w\nzJV+dHsm4ODBg9oegF5t0MICq1atwuTJk6FWq5GcnIywsDCkpKQAABYuXIhp06YhLS0NwcHBsLOz\nw/r167Wv/+1vf4sDBw7gypUr8PPzw1tvvYX58+fj5ZdfRm5uLmQyGYKCgrTbIzI0ubmcG8DUOcgd\nABlQfL4YYUFhYodD1Ge8dwCRDjU0NmD16tUYtWAULKx5aaApu3D8AtAIzP71bLFDIQnjvQOIDEhG\nXgbcgtxYAEiAPEyOC8UXOGcAGTUWARLEsTZh+pKnUydPSfJmQVLrCQAAa3trOCl6N2cAjz3hmCv9\nYBFApCPnKs+huakZzn6d568g0ySPkONk3kmxwyDqM/YEEOkI5waQHk2rBsf+ewzJv0uG3JXNoKR/\n7AkgMgDNLc0oKyyT5FCAlJlZmMFzmCeO5RwTOxSiPmERIEEcaxOmN3k6UXQC9m72sHGSztwAd5Ni\nT0A7RbgCxSeFzRnAY0845ko/WAQQ6UBObo5kbhZEHdl72sPCygKnzp0SOxSiXmNPAFE/Xb56GSkf\npWD006NhbmkudjgkgoqcCjRfasb8GfPFDoUkhj0BRCJLz0mHR4gHCwAJ8xzmiYtnL+JG0w2xQyHq\nFRYBEsSxNmGE5Emj0aDoZJHkGwKl3BMAAFa2VnDxdUHGyYx7rsdjTzjmSj9YBBD1Q8mFEgCAo5ej\nyJGQ2OQRchTkFYgdBlGvsCeAqB82fbkJMgcZ/Ef6ix0KiaxN04Zj/z2GWXNmwU/uJ3Y4JBHsCSAS\nya3bt1BeXM6rAggAIDOTQRGuwLFszhlAxoNFgARxrE2YnvKUfjIdzj7OsLaz1k9ABkzqPQHtFBEK\nnD11Fi2tLV0+z2NPOOZKP1gEEPXRyZyTUERIuyGQOrJ1sYWtiy1yTueIHQqRIOwJIOqD89Xn8emW\nTzE6eTRkZjKxwyEDUl1YjfrSevx+zu/FDoUkgD0BRCJIP5EORZiCBQB14hHigSsXr+Byw2WxQyHq\nEYsACeJYmzDd5amltQVnC85yKOAu7An4ibmlOTyHeuLoiaOdnuOxJxxzpR8sAoh6KbsoG3ZudrB1\nsRU7FDJQXvd54fTJ04JuKkQkJvYEEPXSRxs/guswVyjCeCaAutbW1obsT7IxcfJEDA8eLnY4ZMLY\nE0CkR7X1tairqoNHsIfYoZABk8lkUEQokJWdJXYoRPfEIkCCONYmTFd5Opp9FJ7DPHmzoJ9hT0Bn\n8jA5qsqqcPX6Ve1jPPaEY670g0UAkUBqtRqn807DO9Jb7FDICFgOsoRbkBuO5nRuECQyFOwJIBIo\nqzALhw4dQmxSrNihkJG4WnkVxT8W48XFL8LMjL+5SPfYE0CkJ9knsuEV6SV2GGREHL0dARlQpCoS\nOxSiLrEIkCCOtQlzd55q62txueIyPId6iheQAWNPQNdkMhm8I72RkZUBgMdebzBX+sEigEiAo9lH\nIR8mZ0Mg9Zo8TI6qcx0bBIkMBXsCiHqgVqvxr/f+hchHImHvYS92OGSEipRFCPAOwNRxU8UOhUwM\newKIBlhOcQ6s7a1ZAFCfeUd6oyCngDMIksFhESBBHGsTpj1PbAjsGXsC7q29QXDTZ5vEDsVo8HNK\nP1gEEN1DbX0tLleyIZD6p71BsLC4UOxQiDpgTwDRPezcvRP1t+oRnBAsdihk5FpvtyL943Q8++yz\ncHF0ETscMhHsCSAaIC2tLSjOK4b3cM4QSP1nYW0BjxAPHMo+JHYoRFosAiSIY23CpGxIuXPLYFfe\nMrgn7AkQ5sqtKyjMKYRarRY7FIPHzyn9YBFA1I2S4hKeBSCdsnWxhbWdNU6cPiF2KEQA2BNA1KWy\nqjJs+3QbRi0YBZmZTOxwyIRUF1XjyukreHbes2KHQiaAPQFEA+BIxhF43efFAoB0zjPEEw21Dai8\nVCl2KEQsAqSIY233dqPpBs6fPo/axlqxQzEa7AkQJvdwLswszOAV4YXDxw+LHY5B4+eUfgxIEaBU\nKhEaGoqQkBAsX768y3WWLFmCkJAQREVFIScnR/v4ggULIJfLERkZ2WH9uro6TJw4EUOHDsWkSZPQ\n0NAwEKET4eiJo3D1d4WVjZXYoZCJ8or0wtn8s2hqbhI7FJI4nRcBarUaixcvhlKpRGFhIbZu3Yqi\noo630UxLS8OZM2dQWlqKNWvWYNGiRdrn5s+fD6VS2Wm7y5Ytw8SJE1FSUoLx48dj2bJlug5dMhIS\nEsQOwWBpNBrkZefBO8ob0WOjxQ7HaDBXwrTnycbJBo5ejjiWe0zkiAwXP6f0Q+dFQGZmJoKDgxEY\nGAhLS0skJSUhNTW1wzq7du3C3LlzAQDx8fFoaGhAdXU1AGDcuHFwcek8kcbdr5k7dy6++uorXYdO\nhJOlJyEzk8HJx0nsUMjE+UT74MTxE7yfAInKQtcbrKyshJ+fn3bZ19cXGRkZPa5TWVkJhULR7XZr\namogl8sBAHK5HDU1NV2uN2/ePAQGBgIAnJ2dER0dra0o28eYpL7c/pihxGNIy7u+34X7p98PmUyG\nLz76AsGRwdpfb+3j3lzuvHx3T4AhxGOoy2fyz+A3i34DADh/4TxKi0tx6twpRAZHGsT735CW33vv\nPX5+d7Hc/m+VSgVd0Pklgjt27IBSqcTatWsBAFu2bEFGRgZWrlypXWf69OlYunQpxowZAwCYMGEC\n3nnnHcTGxgIAVCoVpk+fjvz8fO1rXFxcUF9fr112dXVFXV1dxz+GlwgKsn//fu0bi35SUVuBTRs3\nYfSC0TCzMEPu4Vye5haIuRLm53m6ePIiGs834plZz4gYlWHi55QwBneJoI+PD8rLy7XL5eXl8PX1\nvec6FRUV8PHxued25XK5dsigqqoKnp68oUtf8cDq2sH0g/C+zxtmFncOC36pCcdcCfPzPMnD5Lhc\neRlVV6pEishw8XNKP3ReBMTFxaG0tBQqlQrNzc3Ytm0bEhMTO6yTmJiITZvu3FIzPT0dzs7O2lP9\n3UlMTMTGjRsBABs3bsSjjz6q69BJwq7fuo6ywjLOEEh6ZW5pDkWEAgfTD4odCkmUzosACwsLrFq1\nCpMnT0Z4eDhmzpyJsLAwpKSkICUlBQAwbdo0DB48GMHBwVi4cCE+/PBD7et/+9vf4he/+AVKSkrg\n5+eH9evXAwCWLl2KH374AUOHDsXevXuxdOlSXYcuGXePLdEdh7IOwTXAFdb21trHeO27cMyVMF3l\nySfKB2cKzuBG0w0RIjJc/JzSD503BgLA1KlTMXXq1A6PLVy4sMPyqlWrunzt1q1bu3zc1dUVP/74\no24CJLqLWq1GfnY+wqaEiR0KSdAgx0Fw8XXBkRNHMOkXk8QOhySG9w4gycs8lYkjh48gNilW7FBI\nohoqG1DyQwle/OOLMDPjRK4knME1BhIZm4xjGfCJuXdjKtFAcvJ2grmVObKLssUOhSSGRYAEcazt\nJ8Xni3Gz8SY8QzpfbcJxbuGYK2G6y5NMJoPfCD8cO8YZBNvxc0o/WASQpB08ehC+Mb68WyCJziPE\nA7cab6H4fLHYoZCEsCeAJOvi5YvY8PEGjJo/CuZW5mKHQ4SKnArcvHgTv3vyd2KHQkaCPQFEfbTv\nyD543efFAoAMhleEFy5VXMLFSxfFDoUkgkWABHGsDbh6/SpURSr4Rvt2uw7HuYVjroTpKU/mVubw\njvTGvqP79BSR4eLnlH6wCCBJ2pe+Dx4hHrCysxI7FKIOfKJ8oCpSoaGxQexQSALYE0CS09TchH+/\n/29E/yYatq62YodD1Enxj8XwdPLEoxM4PTrdG3sCiHrpUNYhOCocWQCQwfKL9UPhiULcun1L7FDI\nxLEIkCApj7W1tLYgOz0b/vf797gux7mFY66EEZonW1dbuPi6YF+GdHsDpPw5pU8sAkhSDp84DDsX\nOzgqHMUOheie/O/3R15mHppbmsUOhUwYewJIMtRqNf5v1f9h6IShcPZ1Fjscoh4V7CrA0OChmDh6\notihkIFiTwCRQMdOHoOlnSULADIa/iP9ceLYCbS0togdCpkoFgESJMWxNo1Gg/TD6Qi4P0DwazjO\nLRxzJUxv8+To5QgbFxsczjk8QBEZLil+TomBRQBJwvFTx2FmaQYXfxexQyHqlYD7A5B1NAtqtVrs\nUMgEsSeATJ5Go8H7Ke/DP94f7kPcxQ6HqFfa2tqQuz0XI0aMwLjYcWKHQwaGPQFEPcgqyoKmTQO3\nwW5ih0LUazKZDAHxAUg/nM6zAaRzLAIkSEpjbRqNBof3H0bgqEDIZL27XTDHuYVjroTpa55c/F1g\naWuJIzlHdByR4ZLS55SYWASQSUvPTwfMwbMAZNRkMhmCRgch/XA6rxQgnWJPAJkstVqN/1v9fwhO\nCIZrgKvY4RD128mdJxEeHo7x8ePFDoUMBHsCiLpxJOcILG0teUUAmYzA0YE4fvg4ZxEknWERIEFS\nGGtraW1B+uF0BI0O6nUvQDuOcwvHXAnT3zw5ejnCwdNBEvcUkMLnlCFgEUAm6WD2Qdg42XB2QDI5\ngaMDceLYCTQ1N4kdCpkA9gSQyWlqbsJ7K99DxK8i4OjFGwWR6Sn8thA+Xj5IfDBR7FBIZOwJIPqZ\n3Yd3w8nLiQUAmaygMUEoyCxAfWO92KGQkWMRIEGmPNZWf60eBccLEDQmqN/b4ji3cMyVMLrKk42z\nDeShcny37zudbM8QmfLnlCFhEUAmJW1fGuRhctg424gdCtGACogPgOq0ChW1FWKHQkaMPQFkMspr\nyrF542bcP+d+WNpYih0O0YC7kHUBt6pv4ZmnnhE7FBIJewKI/ifthzT4x/mzACDJ8I32RX1tPU6d\nOyV2KGSkWARIkCmOtRWcLUDDpQb4RPnobJsc5xaOuRJG13kyszBD0C+C8MMPP0Cj0eh022Izxc8p\nQ8QigIyeWq3G7u93Y/CYwTCz4FuapMVzmCc0bRocOnFI7FDICLEngIze7qO7UVRUhKjHo/o8OyCR\nMbtWfQ0Fuwrwx8V/hL2NvdjhkB6xJ4Akrb6xHlmHsxCSEMICgCTLUeEIt8Fu+HrP12KHQkaGRYAE\nmdJY29c/fA15qBx27nY63zbHuYVjroQZyDwNHjMYZYVlKKsqG7B96JMpfU4ZMhYBZLSKzxej8lwl\nAkcFih0KkegsbSwROCoQ33z7jck1CdLAYU8AGSW1Wo0P1nwA7xhvKMIUYodDZBDaNG3I3pqN+0fd\nj3Gx48QOh/TAIHsClEolQkNDERISguXLl3e5zpIlSxASEoKoqCjk5OT0+No333wTvr6+iImJQUxM\nDJRK5UCETkZiT8YeyCxkkIfKxQ6FyGDIzGQIeSgEh/cexrWb18QOh4yAzosAtVqNxYsXQ6lUorCw\nEFu3bkVRUVGHddLS0nDmzBmUlpZizZo1WLRoUY+vlclkeOGFF5CTk4OcnBxMmTJF16FLhrGPtdXU\n1SDrUBaGThg6oM2AHOcWjrkSRh95cvJygscQD3yl/GrA9zWQjP1zyljovAjIzMxEcHAwAgMDYWlp\niaSkJKSmpnZYZ9euXZg7dy4AID4+Hg0NDaiuru7xtTzVTxqNBju/3gnfWF/Yueq+GZDIFASNCcJF\n1UXkleaJHQoZOAtdb7CyshJ+fn7aZV9fX2RkZPS4TmVlJS5evHjP165cuRKbNm1CXFwcVqxYAWdn\n5077nzdvHgIDAwEAzs7OiI6ORkJCAoCfKksuG+9yXkkeWltaEToiVPurKnpsNADofLn9sYHavikt\nR4+NNqh4DHm53UDuz8LaAs2Ozfjw/Q/x3or3YGNtYxDHb2+W2x8zlHgMZbn93yqVCrqg88bAHTt2\nQKlUYu3atQCALVu2ICMjAytXrtSuM336dCxduhRjxowBAEyYMAHLly+HSqXq9rW1tbXw8PAAALz+\n+uuoqqrCunXrOv4xbAw0afWN9fjPf/6DyEci4SB3EDscIoNXpCyCi70LZv5qptih0AAxuMZAHx8f\nlJeXa5fLy8vh6+t7z3UqKirg6+t7z9d6enpCJpNBJpPh6aefRmZmpq5DlwxjHWvb+e1OyMPkeisA\nOM4tHHMljL7zFPzLYJwrPIfi88V63a8uGOvnlLHReREQFxeH0tJSqFQqNDc3Y9u2bUhMTOywTmJi\nIjZt2gQASE9Ph7OzM+Ry+T1fW1VVpX39l19+icjISF2HTgbsaN5RXKm5wjkBiHrB0sYSwQnB+Dr1\nazQ1N4kdDhmgAZkn4LvvvsNzzz0HtVqN5ORkvPLKK0hJSQEALFy4EAC0VwHY2dlh/fr1iI2N7fa1\nADBnzhzk5uZCJpMhKCgIKSkpkMs7Xh7G4QDTVFtfi/+u/S8iH4mEo8JR7HCIjE6Rsgj21vaY9egs\nsUMhHevv9x4nCyKDptFo8OGGD+Ho54iA+wPEDofIKLXebkXWJ1l4aNJDGBkxUuxwSIcMrieADJ8x\njbV9d+g7tGpa4R/nr/d9c5xbOOZKGLHyZGFtgbDJYfgx7UfUX6sXJYbeMqbPKWPGIoAM1pmKM8jL\nyEPY5DDIzHiHQKL+cPJxgtd9Xtj21TbeW4C0OBxABulG0w18tOYj+Mf7c2pgIh3RqDXI+TwH4RHh\nmDKOs66aAg4HkMnRaDTY+uVWOPo4sgAg0iEzczOETwvHifQTKCor6vkFZPJYBEiQoY+1KY8oca3h\nGkISQkSNg+PcwjFXwhhCnmycbBA6MRSpO1NRd61O7HC6ZeifU6aCRQAZlFPnTiEvPQ8RD0fAzIJv\nT181StcAABF1SURBVKKB4BbkBkWEAp9s/wQtrS1ih0MiYk8AGYwrV69g7dq1GDZxGFwDXcUOh8ik\ntWnakJ+aD09PT8ycxmmFjRV7AsgkNDU3Ycu2LfAe7s0CgEgPZGYyhE0Jg6pYhYPZB8UOh0TCIkCC\nDG2sTaPRYMuOLbB2tIb//fqfD6A7hjB+ayyYK2EMLU+WNpaIfCQSh/ccxqlzp8QOpwND+5wyVSwC\nSHQ7d+/E9evXMWziMMhknA+ASJ/s3OwQPjUcu3bsQkVthdjhkJ6xJ4BEtTdzL7KOZiE2KRaWNpZi\nh0MkWVUFVSjPKsczyc/Ayd5J7HBIIPYEkNE6cfoE0g+kI/LRSBYARCLzus8L7sHu2Lh1I+84KCEs\nAiTIEMbaCs4WQLlLifsevg+2LrZih9MlQxu/NWTMlTCGnqegMUGwdrLGx59+jOaWZlFjMYTPKSlg\nEUB6V3y+GLt27EL4tHA4efO0I5GhkMlkd3pzrGRYv2095xCQAPYEkF6dqzyHbZ9uw7CJw+AW5CZ2\nOETUBY1ag1PfnIKNlQ3mzZgHc3NzsUOibrAngIxG2cUybPt0G0IeDGEBQGTAzMzNEP6rcNy4eQOb\nv9wMtVotdkg0QFgESJAYY22nVafx2SefITghGB4hHnrff18Y+vitIWGuhDGmPJlbmOO+xPvQ2NiI\nj7fpv0eAPQH6wSKABlxeSR52fr4TwyYNg+dQT7HDISKBzC3vFAItbS347yf/xa3bt8QOiXSMPQE0\noDIKMrAnbQ8iHo6As4+z2OEQUR+0adpQ/GMxbjfcxryn5sHR1lHskOh/+vu9xyKABoRGo4HyiBJ5\nGXmIfCQSDp4OYodERP3Q1taGc4fOoU5VhyeTnoS3h7fYIRHYGEh9MNBjbS2tLdjy1RYU5Rchdmas\n0RYAxjR+KzbmShhjzpNMJsOQB4bAJ9oHGzdsRP6Z/AHdH3sC9MNC7ADItFy9fhWbtm2CmbUZYmbE\nwNyKlxYRmRLv4d6wcbHB119+jdoHajE+frzYIVE/cDiAdKaorAi7vtwFz2GeCBoTxJsBEZmwm/U3\nUbCrAJ4+nnji4SdgY20jdkiSxJ6Au7AIEIdGo8G3B75FQVYBhk0YBrfBnAOASArUzWqU7itFY00j\nHv/N4wjyChI7JMlhTwD1mi7H2q5cvYL/bPoPzp49ixG/HWFSBYAxj9/qG3MljKnlydzKHKGTQ+EX\n54etm7fix/QfodFodLJt9gToB3sCqE80Gg0OZh/E0X1H4RPlg/D7wyEz4+l/IilShCvgqHDESeVJ\nlBSV4NeJv4aXm5fYYZEAHA6gXqupq8GOXTvQdKsJwyYOg72HvdghEZEBaNO0ofxEOcqzyhE7JhYT\nR0/kfQcGGHsC7sIiYGA1NTdh95HdKMgsgN8IP/iN8OOvfyLq5Gb9TRT/WAyogSmTpyA0MFTskEwW\newKo13o71qbRaHAk9wjeX/0+Ki5WIDYpFv4j/U2+ADC18duBxFwJI5U82brYIvo30fCK8sJXO77C\nx9s+Rm19ba+2wZ4A/WBPAHVLo9Eg/2w+9u/bj9bWVoROCoWzL6f+JaKeyWQyKMIU8Aj2QHl2Odau\nWYuQ4SGYOHYiXBxcxA6P/ofDAdSJRqPBydKTOHjwIG7fuo2A+AB4DvU0+V/+RDRwbjfexoXjF1BT\nXIPg4cGYNHYSXBxZDPQXewLuwiKgf5pbmpF+Mh0njp9AS0vLnS//EH75E5Hu3G68jQtZF1BzugYB\noQEYN2ocAhQBYodltFgE3IVFgDD79+9HQkKCdvlyw2UczjqMopwi2LvbwzvaG26BbpL/8s89nIvo\nsdFih2EUmCthmKefNN9oxsX8i7h48iIc3R0xcuRIxITGwNLCEkDnzynqWn+/99gTIFG3bt9C1qks\n5J/MR311PTyHeiLq8SjYudmJHRoRSYCVnRUCRwXCf6Q/LpVewtGjR7Hnuz0ICg/CyOiROpt0iO6N\nZwIk5EbTDeQV56HodBGqy6rh5OUEeZgcbkPcYG7Ba3mJSFw362+ipqgG1UXVsLC0wJDQIRgePhxB\nXkEwM+PFbF3hcMBdWAR0pNFoUHmpEoVnClF2rgyXKy7DycsJ7sHucB/sDis7K7FDJCLqpK2tDdeq\nruHy2cu4fOYy2tra4DfEDyFDQhA+JBx2g3jGsh2LgLtIvQjQaDQory3HuQvncOHCBVRdqALaANcA\nV7j4u8A10BUW1hYclxSIeRKOuRKGeRKuPVdtbW24cfkG6lR1qL9Qj2vV1+Do6QgfPx8E+gciJCAE\njraOYocrGvYESJRGo0F1XTXOXzyPi1UXUVNdg/rqelhYWcDJ2wmO3o6IGhEFGxebTrf0PZN/hh9E\nAjBPwjFXwjBPwrXnSiaTwd7DHvYe/7+9u41pq2zjAP6H0VJeypCXFuSA1HVrYWxjL6jx02QQzLLV\nOSduqFsWNWbGqMt0GL9ppClBE2OMiR+YzJcn0w8+gUyGC2M6lXVmNu4Dz8xwO2zlrZNCoS2UU8r1\nfJir62hZYbgOz/VLCHD3PuXiH9penPa+m4qCsgIE/AGM9o1itH8UP3f+jGP/PQaVWoXMnEzk5uQi\nPy8f9+Xeh9Qk3s48Gv9IE9DW1obXXnsNgUAAzz//PGpra2fMeeWVV3Ds2DEkJyejqakJa9eunfXY\n4eFhPPXUU7h8+TIKCwvx9ddfIz39379xzdj4GBxOB/50/gnniBNDQ0NwDbngGfZAkaSAOluNVE0q\ntKu00FfokZiaeMvr9Ix67kDlix/nFD3OKjqcU/QiZbVEsQQZhRnIKMwAAEwHpuF1euG56kHv1V6c\n/995eJ1eJCQmIC0zDfdk3YOszCxkZWRBm6FF9j3ZwRUI7B9oAgKBAF5++WW0t7cjLy8PZWVlMJlM\nKCoqCs5pbW3FH3/8ge7ubpw5cwb79u2D1Wqd9ViLxYLKykocPHgQ9fX1sFgssFgsC13+HTE9PY0J\naQJj3jG4vW6Mukcx5hmDx+PBmHsMnjEPxsfG4fP4QERIWpqEpKVJUC1VIUVIQdaqLCRnJCMhkU/k\nMMbkLX5JPNQaNdQadXCMiDDpnoR32Itx5zh6Bnpw/vx5TIxOYNI7CWWSEknqJKSkpSAtLQ2p6lSk\npaQhTZ2GpalLoU5RQ52slkWzsOCPIr/88gv0ej0KCwsBADt37kRzc3NIE9DS0oI9e/YAAB588EG4\nXC4MDg5CFMWIx7a0tOCHH34AAOzZswcbN25cFE3A0ZNHYbfb4Z/0Q/JJ8E/64ff5ER8fD0WSAgqV\nAsoUJZTJymufM5TQ3KeBSq1CYmoiElQJM07n367BK4MLen3/VpxT9Dir6HBO0budrOLi4qBKU0GV\npkJmYWbIZdOBaUheCT63D5PuSUy6J+EeceNK7xVI4xImxyfh9/kx5ZvCEsUSKFQKKBKvfSgTlXi0\n/FEU5Bbc7q9311jwJqCvrw/5+fnB7wVBwJkzZ245p6+vD/39/RGPdTgc0Gq1AACtVguHwxH25y/0\nA+a/Vdt/2mJdwqLAOUWPs4oO5xQ9zuqft+BNQLQPwtG8mpGIwl5fXFxc2HE5rwxgjDHG5mrBd1/I\ny8uD3W4Pfm+32yEIwqxzent7IQhC2PG8vDwA1/77Hxy8dnpoYGAAGo1moUtnjDHGZGXBm4ANGzag\nu7sbPT09kCQJX331FUwmU8gck8mEzz77DABgtVqRnp4OrVY767EmkwmHDx8GABw+fBjbtm1b6NIZ\nY4wxWVnwpwMSEhLw0UcfoaqqCoFAAM899xyKiorwySefAABefPFFbN68Ga2trdDr9UhJScGnn346\n67EA8Oabb6K6uhqNjY3BJYKMMcYYuw20iE1NTVFpaSlt2bKFiIicTidVVFTQ8uXLqbKykkZGRmJc\n4d1hZGSEnnjiCTIajVRUVERWq5WzCsNsNlNxcTGVlJTQrl27yOfzcU5/2bt3L2k0GiopKQmOzZaN\n2WwmvV5PBoOBvvvuu1iUHBPhcnr99dfJaDTS6tWr6fHHHyeXyxW8jHMqmXHZe++9R3FxceR0OoNj\ncs2JKHJWH374IRmNRlq5ciUdPHgwOD7XrBZ1E/D+++9TTU0Nbd26lYiI3njjDaqvryciIovFQrW1\ntbEs766xe/duamxsJCIiv99PLpeLs7qJKIqk0+nI5/MREVF1dTU1NTVxTn85deoU2Wy2kDuiSNl0\ndXXRmjVrSJIkEkWRli1bRoFAICZ132nhcjp+/Hjw96+treWcKHxORERXrlyhqqoqKiwsDDYBcs6J\nKHxWHR0dVFFRQZIkERHR1atXiWh+WS3aJsBut9OmTZuoo6MjeCbAYDDQ4OAgERENDAyQwWCIZYl3\nBZfLRTqdbsY4ZxXK6XTSihUraHh4mPx+P23ZsoWOHz/OOd1AFMWQO6JI2ZjNZrJYLMF5VVVVdPr0\n6TtbbAzdnNONvvnmG3r66aeJiHMKl9OOHTvo3LlzIU2A3HMimpnVk08+SSdOnJgxbz5ZLdr3Zty/\nfz8aGhpC3l4y2r0E5EQURWRnZ2Pv3r1Yt24dXnjhBXi9Xs7qJhkZGThw4AAKCgpw7733Ij09HZWV\nlZzTLCJl09/fH7Ii6Po+IAw4dOgQNm/eDIBzullzczMEQcDq1atDxjmnmbq7u3Hq1Ck89NBD2Lhx\nI86ePQtgflktyibg6NGj0Gg0WLt2bcS9ASLtJSA3U1NTsNlseOmll2Cz2ZCSkjJjp0XOCrh48SI+\n+OAD9PT0oL+/Hx6PB1988UXIHM4psltlw7kBdXV1UCqVqKmpiThHrjmNj4/DbDbj7bffDo5Fum8H\n5JvTdVNTUxgZGYHVakVDQwOqq6sjzr1VVouyCejs7ERLSwt0Oh127dqFjo4OPPvss7yXQBiCIEAQ\nBJSVlQEAduzYAZvNhpycHM7qBmfPnsXDDz+MzMxMJCQkYPv27Th9+jTnNItIt7fZ9vuQq6amJrS2\ntuLLL78MjnFOf7t48SJ6enqwZs0a6HQ69Pb2Yv369XA4HJxTGIIgYPv27QCAsrIyxMfHY2hoaF5Z\nLcomwGw2w263QxRFHDlyBOXl5fj88895L4EwcnJykJ+fjwsXLgAA2tvbsXLlSmzdupWzuoHRaITV\nasXExASICO3t7SguLuacZhHp9mYymXDkyBFIkgRRFNHd3Y0HHngglqXGVFtbGxoaGtDc3AyVShUc\n55z+tmrVKjgcDoiiCFEUIQgCbDYbtFot5xTGtm3b0NHRAQC4cOECJElCVlbW/LJaoNctxMz3338f\nXB3gdDpp06ZNsl/OdbPffvuNNmzYELJEibOaqb6+PrhEcPfu3SRJEuf0l507d1Jubi4pFAoSBIEO\nHTo0azZ1dXW0bNkyMhgM1NbWFsPK76ybc2psbCS9Xk8FBQVUWlpKpaWltG/fvuB8ueekVCqDf083\n0ul0IUsE5ZoTUfisJEmiZ555hkpKSmjdunV08uTJ4Py5ZhVHxBvuM8YYY3K0KJ8OYIwxxtjt4yaA\nMcYYkyluAhhjjDGZ4iaAMcYYkyluAhhjc5aamhr8uqurC+Xl5TAajVixYgXefffdGFbGGJsLbgIY\nY3N2fReyiYkJPPbYY3jrrbfw+++/49y5c+js7MTHH38c4woZY9HgJYKMsTlTq9Vwu91obGzEjz/+\niKampuBlly5dwiOPPILLly/HrkDGWFT4TABjbN66urqwfv36kLH7778fbrcbXq83RlUxxqLFTQBj\nbN7i4uIivtGL3++/w9UwxuaKmwDG2LwVFxfj119/DRm7dOkSkpOTkZ6eHqOqGGPR4iaAMTZvNTU1\n+Omnn3DixAkA114o+Oqrr+LAgQMxrowxFg1uAhhjc3Z9dUBSUhJaWlpQV1cHg8GA7OxsLF++HPv3\n749xhYyxaPDqAMbYgmlubsY777yDb7/9Fjk5ObEuhzF2C9wEMMYYYzLFTwcwxhhjMsVNAGOMMSZT\n3AQwxhhjMsVNAGOMMSZT3AQwxhhjMsVNAGOMMSZT/weTEaMPPtWcbAAAAABJRU5ErkJggg==\n",  "text": [  ""  ]  }  ],  "prompt_number": 1  },  {  "cell_type": "code",  "collapsed": false,  "input": [],  "language": "python",  "metadata": {},  "outputs": []  }  ],  "metadata": {}  }  ]  }           

{  "metadata": {  "name": "",  "signature": "sha256:485af5a771feb5821d962535a863ff3122f2407fa16457cbfed4796af13f3790"  },  "nbformat": 3,  "nbformat_minor": 0,  "worksheets": [  {  "cells": [  {  "cell_type": "code",  "collapsed": false,  "input": [  "import numpy as np\n",  "from sympy import *\n",  "from IPython.display import *\n",  "\n",  "init_printing\n",  "import matplotlib.pyplot as plt\n",  "%matplotlib inline\n",  "fig = plt.gcf()\n",  "fig.set_size_inches(8,5)\n",  "var('a b x sigma mu')\n",  "pdf = Lambda((x,mu,sigma),\n",  " (1/(sigma * sqrt(2*pi)) * exp(-(mu-x)**2 / (2*sigma**2)))\n",  ")\n",  "\n",  "x = np.linspace(50,150,100)\n",  "y = np.array([pdf(v,100,15) for v in x],dtype='float')\n",  "plt.grid(True)\n",  "plt.title('Probability Density Function')\n",  "plt.xlabel('IQ')\n",  "plt.ylabel('Y')\n",  "plt.text(122,0.023,'$\\mu = 100$',fontsize=16)\n",  "plt.text(122,0.021,'$\\sigma = 15$',fontsize=16)\n",  "plt.plot(x,y,color='gray')\n",  "plt.fill_between(x,y,0,color='#c0f0c0')\n",  "plt.show()"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "metadata": {},  "output_type": "display_data",  "png": "iVBORw0KGgoAAAANSUhEUgAAAgEAAAFOCAYAAAAfAM5FAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",  "text": [  ""  ]  }  ],  "prompt_number": 1  },  {  "cell_type": "code",  "collapsed": false,  "input": [],  "language": "python",  "metadata": {},  "outputs": []  }  ],  "metadata": {}  }  ]  }        Binary files a/figures/pdf/pdf.png and /dev/null differ          

height = 700\nwidth = 500