{ "metadata": { "name": "", "signature": "sha256:c93e7a86df2c396e71a0639885ca46f70e20755df4fbee3fe8dbae45b7f89487" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "T = np.zeros([100,10])\n", "for i in range(len(T)):\n", " T[i][-1] = 10" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "i = 0\n", "while i < len(T)-1:\n", " for j in range(1,len(T[0])-1):\n", " T[i+1][j] = T[i][j] +(1./10)*(T[i][j-1] +T[i][j+1] -2*T[i][j])\n", " i += 1" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hold(True)\n", "for i in range(len(T)):\n", " plt.plot(T[i])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jtvoQq/zacWj0ZuzYJnq2DOFYjIagphqUdon4eNaRkOCFac8gpJFmuJgoscnO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iqocjpRtQ5iWGmk+xp2+aTeImVuUbGRUa8ekjuIvHKebPc0rr5CVlD8U5N958kv7uo2xfP8Wg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\nBz5QXQJt+/a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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "np.linspace(0,np.pi,10)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 18, "text": [ "array([ 0. , 0.34906585, 0.6981317 , 1.04719755, 1.3962634 ,\n", " 1.74532925, 2.0943951 , 2.44346095, 2.7925268 , 3.14159265])" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "T = np.zeros([100,20])\n", "T[0] = np.sin(np.linspace(0,np.pi,20))**2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "i = 0\n", "while i < len(T)-1:\n", " for j in range(1,len(T[0])-1):\n", " T[i+1][j] = T[i][j] +(1./10)*(T[i][j-1] +T[i][j+1] -2*T[i][j])\n", " i += 1" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hold(True)\n", "for i in range(len(T)):\n", " plt.plot(T[i])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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wA87+F+0Iof6LS00F9zm9MTGaTV7OeoIzl3BE7giv2+7CUmcRS/fOoNvg8zjI\n9qVtRneiTZdw7MZBBjh60V5pNKaptuTaLWTjbk90hrzg+LcsDrktR+VTGyZEpiEx8wIP0l5z/qIp\njU0bKNauwajvVhbG/6R9kQH+sxYg/bU1054WIDf8JrEKd3n0RJ3KKvFm9UtOro6B/QvpmOdK2f1R\nnOmvBIbJeJ48xFvNDI5aGPLjsTeKOfVISW5hysRv9NftSU3AFM7b61Ft/JXZAXtwMzQj/347tq06\njUzEIfK0HvCy9hHPQzfhOW0JpvEHydF4zO26GOJChnLA8yYvC3bT++Ni5pV4Ma7tNmRVNxOfcoVr\nAQ/Q1W2hiRP80lo61MWAL4ATkAm8BSYAiX/1mY2AFLCa3wL+C6AF1P9NW0Ko/+IGzHxO79L9GMjX\nMOuJHT6m/kTbnGAk25lzpCMGAz4zt0kD8aoxZHfwYNcpX3oN2EZv6f5o/3SiuMd8NuxejP6QcHZm\nVXLOdivznmYgPu0C91PecP5iO0TENlLSKg9ju62s+FCKakNb9k9bQJu3Wox8k4bUlOuEF4Vz9Xor\nsrNnUS/vTJ1IbbP6JYUUIqVBtGp1lnGjM+gt25+qy2O4ZqtPllUWi08fIF0mmb0dNUh5sRbFTFnE\nRDYzdVISA1vZUXN+MgectXELX8FiHR1y73dk+4qziL06QJXqHYKbonhzfwHr5vkg8/EwciIB7BKv\nJ++pFifc0rkiuRDLt+5sS1jMmX6fSC0v5b2OD7cOd22hmRP8ylo61G2BDfx2tQ6w6i9/+v7VZ9wB\nS2A+0AZ4ALT9L9oSQv0XFh3dxH7vDrTSWUZwdABmupnQZTWT8h7hfq8MkS7KbKvPIkN+IVLmHqw/\nuAKbQccZItId+SIXym3ms9F/MQYuoWzJbeBeu41MUD7Aw8pwzl/sgJjkJkqNUrHoso01H+qokbPk\n6FgP7J4q45QSB1Ovci8hjivXTGloXEGJuiz6A/YwIP0desg3q2/fRcp4omdL1sMlKBTkIyW5mwnj\nvjHQpCtNAeMIMW/P+975zLt8mPraeHw7y/H1zRoUv2tDwyamTkrEScSZs/WzGRW7Di9NFX7e78L2\nFWdofHsQUakrXJL4Sty90fguOUr+50OY5e9iqXgHZBKSOdjXkMs6NpTHHCS3SAH7jvNIydjH5j3v\naN9e2Bjmz66lQ3004AzM/svxZKA7sPCvPiMKPOW3IFcAxgIh/0VbQqj/opqaoNuYC/SXikZFKpxt\nsYPw6FB8OGJbAAAgAElEQVRKjwp51n5+zA81Zw6JPuCd4UZMWy9iqf8UOg4KYmKTGaKVo6mxms+G\nfYswcrmPd74kLwxW4aS/iaVn6qlu2EF52490svBl3Qdx0nV6EDBwJkPvy9G94iUVYy8T+DKLGzet\nkFVcS4lhMqbWfiyKL8awqg3nJ06hVLl5T4soFxYw9eJ5EhXTONJek+RXy1DOaEVN5RbGjIrD1bY1\nUpfH8VLVltABZcwIPoFG/jt8OjURH7cGhW/GyEutZvcEJW4XrWbw542sVZchI6Q7vsvPUvP+AAqi\nARyWyCU5pDf7l97hfeYebJPW4FE3AfPqC3jrj+G9fAZ74nXZah1KflUnwkQG8/LS8BaaRcGvqqVD\nfRS/XaX/d6HuzW/LLp6AMRAKdALK/qatpg0bNvzfAwcHBxwcHP7eOgX/QsEhtTw+2AEjFTc2P03C\nvXMYOvKe3C3YzYvCZRxU2MeLjnuxV1nFgv39aOP8Fo96daoaJtPUaQHr9y3EdPBdlhUr8kFjCTam\na1l0QI9SExd6dlyH90cF3rVz4LbNRCYHi2Eu/4js/pe4HlLHg4cOyGksobpjCF11DrD6kwwZGl05\nN2wm3Z4p0T8+HXHKm9W/OhFFQiz1ietVyPRbJ1Et/oBvx1pi0xYj86kvlYV+DB70gjHOcqjfn8DH\nuv5cdallTMQ5OiS/wMeyitfvt6OWcYV97qWEpW+i1/ftbFIV4UdIT3yXnaU87gCatcfxk6wn84kx\nRxZE86BiE71iFuBZuJaBhpvopbienKIdXPhkx9I+1qQUHGXcyngc+zTvnoHg1xIeHk54ePj/Pd60\naRO0YKj34Lc18/9v+WU10Mh/vFl6H9gKRPzl+AmwEoj+m7aEK/VfUEMDdB3qg4OWFJWVJ3mV3YGe\nZv2RrPblWOR6trVaR5T1YVxFdjD3WDu0+mbgVSdGoYQbYu0XsH7/AtoNus38Cg3S5OZh3MELTz8r\nmrrpc7T8Ip+7juK50Qjc7tfRyuQ2X9pf42qgIlFvRiCuNQ6pXidwqrvC4mRdQnoM4EnbEYx/KIqF\neBhlQ2/w+P1Pqmubt02AjEw5/TsZIHdrFB/EHLjhXMuguBs4xjzB3zSHMKZQ/2o6dTnn6GkXzDjX\nSozfjSM1fRhnXETp//k6BnGBzJf0QPJjHPsXJxPzdTsd8/3ZqVhNSkgfdi49R0HifgxLD7JZUoGS\nF7IcnZHNNYmFWEV7sDl1G0sctlAu6smjL29xafUWMYlJPC1W4v3txcL2vH9iLX2lLs5vNz77AVnA\nG/7zjdI9QAmwid9ukL7jtzX2wr9pSwj1X9CRM8WkBzpgqmiLe7gK67u+o7WCOjOftGWx5UHSuuxn\nXNk55l6RQ862gXUNpfyU9UDGbCHeB+fRceANptcZUdI0FRWrJXjtGoicQyUHi95xcuAu5jyqRdXu\nOlEKQVy5ZkBK2kzqdTui7biXsT9eMDTXmNMjJpFTac30Z+Wod77DZ5NbBAYr8DLCGUX1OSAu1bxO\n1ldRkncEhz6PGeFSjWnCSHIShnHWURYD0UimBV3lpk4qt3QdyQ1fjFjWW0xNA5g4JpMueSPIix7F\nKWcRZtxbxjzFvtRH1LBn+Uu+x+/GoPIIB2SL+BrixK6l58j+sp+2BbtZJd6apphijgyX5JLqCLRj\nl3D8vTsn+uXyvfwLW6J7cMixga8lD+g07Q2Txgi7ff1Z/SMeaRzE//9I4ylgO7/dHAU4xm9LL2cA\nA35bX98OXPov2hFC/RdTXQ32Q92wM+hG7NeTaMlWYqy7jJCYs7TWykWmkydj814w/1EejR102NqU\nQpqKJ4omvwV6Z+crjBFpD5UjEemymLV7pqHj/IHtBYXcsdzM1KbThEkFc/lqeyqqPSk3aMC8hx8e\nnzLREu3IqVGz0I3VZ1TCV8RG3OJJ3nNuBrYlO2cmdTpmaNgfw64kBNW65u2Xki/ZQKTcMApfzEEs\nO4ZW+gGMdP2Go0JfaoNGcr1zGwrap+F2/RRpovGcsDDia6QXsj9qUFE6wISxidgXj+KE3ETGvl3N\nUlUjCh+3YseyQEo/+KPUdI5TElkkPhrIzkXnyEjdh/lPX7xEuqKQnIh/L2Oua3ckP+4MpaWS2LWf\nx5cf+6hvaqKtwRxeZCYRFeyPRPO2jRf8ooSXjwQtZu3OH4i9no22XCNrPljhbimCvMR99scNYEZH\nEXpW1bDiXQz5razYJRZNsuZy1FovYu3hedg4XWCwpA2KpQMo6rCYLUeWYTYwEM9SJWI1l2BruBGv\n05JUNq2jsl0stkb+LEmQJM3Ajlu9p+L8RIZutc8oGXKD2y8zuH23J5LyiygzSqZjpwPMTshHp8mC\nqyNHU66s0qx+KhYWMP7WDVLFEzhtoUv8u0UoftenvmofI4a/Znh3I+TvjiJSphdP+1Uy9ukZdH6+\nxr89RH1ditxXMxQlfdg5UZLHeavpnerLNpUmUh85sHHhcSTj9oJUIJdIIv6RCzsXXiAlfR+WGZtZ\nWuuEXsETtlg4EiVTxZGPCqyxekRJdU/2xcqzu+snMiqKkXe6xsr5Wi00s4JfiRDqghZRWAgTxg7E\nptVwzr0IZ7xZHCaKriwJr8KrSxit5EdxMPEWqUqD2S3xkM/6a9HRW8zqI+7YOZ3DXs4Bg7weJLVd\nxt7zm+nutJ/hTVZU1Y9Do9MKvPb0pNbakBEa/sxO0+d+z8HEqbow5WkleqZ3+GR6i5t3lYh6MwxJ\n3VGIdb2Mk9gF5qRq8ca8N4+sxjIgTIpuuTGIiTZzP/VGBSK0LQl3qGbwm8t0SorkiHE+T6unIxIz\nhpqfV+hld5eRLpW0/TSaH9+HcqGvFNY/g3B+E8KRNjkEZa1A5sMH9iz+SGrCdrTqznBeMoXYR9NZ\nOXsbWgn7KFV8yJ2aD8Q8dsVv/kU+Z+/BKm09nhVjac8lpreeTkbZaQ7E9mWbow7Jhee5992MkT2G\n8urHA4IDb6Gg0EITLPhlCKEuaBHTvKJp9eMYjaLRBP0wpa+5E1/TDtEkIkVbo/l8T99GWOFUdstd\nI8FwAwZanqw+Ngf7vmexVhlE+6z2vNJdw8ngHQzquR4L1ZEYZnanoPNSNh9wR6d/DHuyv3N92BxE\nMzsy8WMKEv1v8rjoGTcCO5BfOJtqQwWMexxiwrcYulW158KQcVQUdmbS2wJUO90lXu8uYRESVNc2\nb01dRrqafj2bME8dSt6noVzqoYyK3FsmhlznhcJnrra24XvkAiR/5KCteYrRIxJxlOtLzdPRXLAy\nQFIjhuHBJ/DUaE9BmAGbF19GKsafIrXHRFSG8uzZGuaPWUP7tF2kq73icUUkb5+Mwm/uZeIL/bBK\nWs2SEjeGtTqCqvZa4pPOoSmdh46OByEJb5jaJpHa2rYUW3hzcJN5C82w4FchhLqg2dLSmlg7txtd\nNIeyLqwQr25paMqVs+adDfM7V6ApFcWq10Pw177EpzbbMFbzZPXxOTg4nsRCczTdf+gSrLida5E7\nmdx5GRLGi+j7WY2I1us4ds2HLk6HmVFpyDuNJYzJeUXhgOsEvsrg7j0nJFVmUWH2Ggf9I7gnSZKp\n252g3pPp/kIBh5IoKgff4cHnjwTesaayxo0qLTXqRaub1V+JBlmksrNQkj+D67AYnE06I3V/OI/V\nrInpWcKI8POoZ7/hqFkjL9IWIJ9kRV3JMVyHheFqY4RiyFiuGFjT88dODikWEh86mUVTt9Dpqy+v\njdMoyDzFzTe+TB2wgj65m0nQSuBVcSivno5lt/sVPpTsouOX5SzPnMbeXo/IqmzHnhgt9nSLJaui\nFv+3pqztZ8jbrCAOnnuJtnYLTbTglyCEuqDZXNwC6VAdQ3JBEKKNonTWns7+Z9HM6PAOIyVXvMIL\nWWwZSr7hDtoqLWfVyVk42x/HUG8KfX7Ica7xEA+/+LDIZBmZVpuZkJDHWY5xL2Ynw629MFUZhWZu\nb6S6r+RCiATRMeMQNeiFSrdTjCoKYUiRGbf6DCMDeyZGFaHV7i4fW90l6IEika+HIq3nSn37e/RV\nPMO0b5KoNTXvSj1XtIYA4wbCCtyQTBxA9c/r9O55j2HOVVgkDyfr2xAu2ynSuvYpri+Cua2WRKDC\ncEqjp9Hw4yndu11lcn9xit9uo0rpIe8qQgh5tZ3Rvb0YU76UW+2lUIrfyvHE3bharWJkjRdv9bKI\ny7vD8/AJ+Lld433ldjRSl3PyoyOb7VuTUnyR618tmdHbgXc/zqMqW4menDNf1QZw85BTC8204Fcg\nhLqgWd7HNnDK24YOypasfq/KrK4KFFXc5HORLtYmY/mUdAgRCQmMjedjJr+ZVafdGNL7COqG7gz6\nUcvewku8KvRio9YGonv4MT3tJVuTwokpX8kS/eVkWa1heJw4L402cvT8KhraK2LdYS8zvhYirtyN\nG32n0O6NOgML3lLZ/zYhXz5yJ9iOqvrpVLauxaLzUcZ/+0SHBktu9B9JVl0XJKpFm9XnOtlG9Jve\nMCrsNu8k4rluZMmX9x7IpDWgIBOA67AonFt3RSp0OPe0upDSNZuxj89TUfaGM211iYnzRDQhC89Z\ne+j8eRuP2xehkLCLw9/2Yavlw3KdoZwztsT87Uq2Z2yjXysfZsnM4Zl+JcmZl3n6fBK7Z97gQ4UX\nCUkBqErkY9hqMRFf7tFTOwU58UEciq7Ht3s1Hwpes2RPNObtmtdnwa9DCHVBsziM2kN3BRHux4Yy\nwCCLtoqdWfpamyXWRShKvWdXnD1uHUBP+hnLb7ni2vMocsaLGJ6ZjU/yYxJEp7FT/gDPbPYwvvws\nKx6UkK01kB1Shwjr7cfMr685UHyT8C/b6N99BR6ZKjyxceaz0mDGvipBr809Phrc4XaIMlFvRyBh\n4ISE5U1cRK4wPkuXaPPevDIdhWOkKNZNL6l2DKNWorJZfZaqkUcqrC+vJHry0q6O3p+u0ynpJZf0\nc7lfN5Gmj8OpzXiIXY9AXP9y9Z6WPpibPeXpkHuH3jGPOahfTvjLrQzqsprZElM5Y25Bz4gVrClf\nhWHpFbbbG3BRfSw9Xy9hTfEKusgcYrn2KB7pS5H14zQPX0zF3zWMjOpOHPqowKYuLymoMmJXtA7+\ntmUklLwkKlcDx3bOvGtQI/SiWwvNuOCPTgh1wf/a3YcVPDvqgrqUGBe/qzPIog/BUffo3zqNtkpD\n8QqvYpXVK/QVe7DwiSiu3a4jYeLF8JwE1r6PJ0vNgV2SQbyy2EIf6W0sCWiDRBc5dtRFE2q5hRGN\nh1nzoIQfCpNZrbqOtK5eyOZYMyz7PRUOgTxIjuV2kCM1TKHKJJ9u7Q4zMTkbRTkbAh3Ho/LVkJFp\nXxCxDSaiLpzgEFMSP/dHUlKtWf2urc2jY4dHuDinYocTdW8Gc9PYhAqjZEaEXSe/OpqLxq14n+iB\ndJICchIXGDHs+W9X789GcEu3E02qkah93Mven74Y1x9ni4M+V2Vn4By9Gi/RfojGZ7B3Uj73G5fT\nK24FKyon0abqNhva9eaeti6FaYd58tYFP3slflSEsD/WDp8+WnwuukZUjg6OnVy5E/+Wuca5ZFQV\nM3x5OA69mvnSleCXIIS64H+lsRH6uizEXtuIA+Gfmde1HBHxJILTDXE0dyL6UwB6iuWY6CwkOPYi\nRtr5yJvPZ3hhBMvC86k1bsVGiUS+aS1BX2clq46OwNQhirkNsvxQnEPr1mtZcbg7UjZS+NY8417P\n7cxJe068xXkCQ1SJjhmDmFE3lDteZGRFMANK2xFqM4BUGSdGRpdgoPeABJNg7oeLEv58MFLaw6k2\niaKn/hVkG5v3SGOZmDyR3ych+82KurzbOPa5j4u9OG0/DyEl25k73RQwLX1A33ehhKgkc0vKlfL4\ncdSlvsS2+w1cB1TQ7sNUjpt0Z1DEKlaKD4HYHHbN/kRC1mba5e1nt7g4GS/ascs9lMS8bbT/sQ3v\nejuUM2Lx7d6WYPUOZCcGUFwsjX3H2XxOP0hVnQjtjWcSEv+KyUapVNWqczJWmdn2VrzIzyU8aJuw\nfcCfgBDqgv+VI+dy+HHXk8Kab+RXiWOn24/1z8tZYlOMlOQnTn21ZFhHM+rLT/Mo0xpn8w70JpLF\nQRIoWtWxUKqBGvFxFOt54Xd5Gf16HqaL8kAMCrvwvc0a/AKWYOl4C7dadT6re2CttQ3vy9IU1s+l\nyjQVp1aHmZDWRJGeLU+sxmP5Th6H6lfk9wziYeIX7oU4USMyhkqjMrqYnWDUjyTaiHflUQ9HKhWb\nt0ujXEkhA14/5UtjLDdbWRCX6IZ0igTyEjdwGRSGs2kHlF8O5YlcdxK7FOP89grSOa+4bCTNs7R5\nSH3VQ0vuMD4jRHlR4oVVpj8HpWv5EubEKrejqCfvoFjhOU/LI4h4Po210w8ikumHSvlp/OrUqU8o\nx99JngjRdtxOyGKUcQSNkhO4FpfNYvNYyqv12BOthXcfLV6mP8JEqQZpUW06TjzDpFHNe/FK8Mcn\nhLrgd6upgZFDR+KgZ4bvqzLcbLR5kxZCW4VyOqoMYOXLRlZ2SUZLoY6lr7qyyvIrhvJ1LL6vjHH3\nL7gqmKJTYUOE/BYuRGxgVof11LT1YkhaBRcaTnAvbhMTLNeiqjsVi4y2ZJqvwfeYG6q905hRG4Ql\nXblnO4yGfCtGf0tG0iqYFw1PCb7fgaS0UYiYGKBtcZERxU+wr2pPeGcHUhQGMPhdGW2lXoNMVfMG\noEqWhFpbHlnLYloYQu+PzwiT+8xteWfyEifQmJxEO5NbDBn0hZ6NTlTGDeGGmRHSim9xeXWXaLEY\nzoqNoTRSnfVzL6GYuJ10jfekFlznVvRmRtuuZ0TNQh63bqIu9QDnY9Yzq78PlkWbKJUM40J5Pj+j\nNfEbAOkV5Wz90IkDtolklpexK6YdW/soEZt/h/waaTro9OfI2yJW9tQkPDOZ+/fPIy5s4vhvTQh1\nwe+2eucnRN6f5mV6DF3VqtCTV+FYkgaultY8jb2FjWYe7dTGs/n5D9wtX2MgP5L1L1Lo1PkdnXRc\n6JYvx4nSi7zMXcA67Z3Edd7BuIJ7bHiTzDepcaxX3k2szVYmfvvEqaorPPi4AZcum+gh3YsIs6n0\nf1dJO7VQ4o3vcjdcnJeRrkga9EHULJThUpdxydXmi7Et0W1G0u29KD1EIsixvk/o5ySePe9JVbVs\ns/ovK1NOX8dInEzMUX8zmAgxO953rqV70i2MUyO5o13A3YpJiCQ5UpfxhD69buNiL4r5l2F8KnHi\nibUUDvGneVL/jtCo1bjabmRSoxtXTQ0wf7+ObflrsOAM6yytuKrZB7MPq9me4U1/Qz8myswhTvkn\nL3NfkPLJlFV2VqQXB3AuoTvLenckoSCAb8WKdDcbxbUPiSw1L+BbSTrJFVJYaVgi38eLNfONWuhM\nEPwRCaEu+F2Ki2HeeEesVLU4lyzCiA7WHAz7jId1OYglc++HIX0tHHmfeAFV+Sra6s0jLC4AZbUq\nDE3HMyA/lfVxMWQrO+AjHUxsu03YSfuy7LwZcp1FWNeYSJSZN/3E97MmSIQ8zf54K+wl3noDo+Ir\nqOp2iQdfv3L/wWBqpYdRY5KKk94pRqRXU6tly5POo2mdoIZz6TvKbUJ4mh1NyIOe/CwYRpOJMupt\n76Io+bdb9//OMahRovDLUEjOo5VOEIMGvMZBrTsy7wcRotyFn2Y/6ff+FuRHcquVImHps5FK0kWm\n/jYugx8ysE17xN5O5K4FmMRsw7doFfqlt9jSX4FgcXd6ftrABrrTFF/ErnFZPG1aSteEtXiXT8Ck\nJojVbe15oq5KQtIDRKpqsDZ3J+H7CZrqG2nXZhr3P0UxpXUq1TUanIhTYrZ9J65+iMXdXIyo3CzO\nBj5ETtjE8d+WEOqC32Xm8kfo5kRxNvozUzpI870sHhEa6abRC+9IWGhdjYhYFNdSOjCwY2dqik/x\n7Kcl/c06Y0cEyx5IIGsBi6XLKZabAtqr2XZuFt173WCgrCUSdc7UGq1hy8mJGPT8yLK6YiJNVzG4\n6RjbIzNJSJlGo5k8lianGJWdiK5sdx51HYpkljmuPxMQaR/Cy/rn3H9gSVLaUERNDdEwvcnwqof0\nqmzLFyMryhSa9+vslEpKMUmL4bnCN4IkXChMcqUhOZl2JkG4OCdihwN1iYMI1DcDjY8MeBdMWk0U\nN7SsSEyaAZ+L6Gx+mhVdzLgjOZ3eiT5sl9An57Uhm2bdpub7dqQaArlRl0rsi4FsnHGe8hxftIqO\n41ejT1NSEX59ZYkU7UBQwneGGEUhKjOJwI+puLX9QG2dBXujFdnUW47In2GoSDagIW3M9c91jLfs\nQImJMwc227bQGSH4oxFCXfB3+/GjiW0L+qEkKkJyeT09tdviHweTrM25+/4xA/VzMFa0ZGWUJp5d\n81CR+YpPdC8Wti9AX+Y7S4PNsOrxEge1HrQpa8sTid1cjVrNnPY+1JguZWB6OVeaThP03psxlpsx\n0BiNXmFnio292X5yLPLdy5gkegnrhs68sHSisLE3w7/+QMXoIW8UQrn3uBWxH4chYWKBgvF9hjfd\noU9ZaxJM7EjQHop1fAM2je8Qa+Y2AfWNskSJdeF9B+iUEYRpyivClDO40zCSym8DqE+Jo2unOwx2\nysG6wJm8jAEEmemj1fAUu/gnvJaM51LtNKqjRdkwJwixb1v+D3v3HR1lnfd9/D29p/feSSEhJJTQ\nQ+iiFFFAxQIq6trbrq662NZ1LawrdlBUQAQBRUR6CCWNJIRACum990xmJtOfP3af+9ln771vd1fd\niF6vc3LCJBfD7/s91/nwPdf8Zi4GNTmUDXzL/qInWDnt9yyx3MupQAfmxnf4tOQpbpn1ByYPP0mn\nqogDQ5epzE9k4+IOWgw6XrsUxkuT8uk1ePHahSBemWKiYjCHvC5PMuLm82lhPY+nyjjRUkaqu5RW\ns5mXPjyJr6+wFebnSAh1wT/t2rXvM87ZzTt5jdw+KYzPi4pZFevEQhvFvVpmRCxmy5lz3BxXTbh2\nIg+d0fBkcgGB2lgeyFKwLHUfmtAHmNfTyB+rc6gSXcsGt60UJ77ENcbtPJU5RJfnHJ7Rfsj58S+w\nqvUc7/UeJLPqCZYlPUeyNoOi0BvJKBsg2vM4FwIPcei0ipxzy5CGpaCIOMVSxRek9/vRED6Vi0FL\nSC5zkibOpWXsYbJqajl9dgZm8/eb1FXKIWbOPMvs0DH4lS0kWzSF0ngbyQ37CWnM5YRnD/uNq7HX\nTcPWnM/0KftZNNVOYtMiLg/O4VSClsm128kdyeXg+SdYlPQH1mqu44uQeMZeeJbfD9xLiOFrnpsS\nxFeuy0m89CQv9N5LsmI7DwXNJ8vbjY7mjzhevIDXZihp1efyakkar80UUaPPZF91JDdNS+dE1THm\n+g9gsblyoE7MsrGpbC5s4t7JEVSpI/js3Rt+oDND8FMihLrgn1J0wcyOF1bTMNBPkE6GXGSlRu9g\npv94Xip0cPsETyo7DiKRQLLvjXyQncu1MaWEut3KxvxCFsWUYI5+mnnmT3nsaw90CU7uV/TT5XE7\nbl5Ps+HjpURNLeEOsYQGr/XEuf2epz6LwjYmlGek+ziXuoEb66pojN/F4fN6Tp5aBr5TEUUUs1S3\ng9l9rnQET6UkdCkJlRKmOnNoiTtCZk0tJzIXMOjIwBphIy70K1wk32+f+oBNR1XTtUiqnXgojzNv\nzjFmh43Bv3wBp6VTqIoZIaVuP14tORz3NnGgfw3UJSLuOcOc9P0sSPbAv+wGdkcEMb74OV4cuQVN\nXSkvruyg2PA4sW1v8ZZTTUt+BC/eeoyW/ucJ7nqbjSNhWKuGeGWRjSPq5TirXiW7Noa7J82mvncz\nRxuiuGnKPIqaP8dVZibEfR7vFwzz2ylqMpuKSPFw0m+xM2gGL42Gu1/eT9wYYSvMz40Q6oJ/yjUr\nnmCK1sjOsi5Wj41i07lO1k6MZHdRASujDbgoLHxcF8jixFRKaz9DJXcQH3QHJy5tx9fDSFjYrwiS\nvcKGXSvJmLSXRJ+FxA/6cVS6id15j3Nr4h9RBd/BpE4tZ3Qb+fjIo8yYvJWFigT6lNcT4f0Sz+0K\npE98LUTVstjjE+b0yhgImMb58KXEVsuZ5syhOeYwJ+vqOX5iEUOi2dgijEwJ2s7Cnlr8NJMpGDOF\nEaXL9+qFytTPhKo8Wo35HPKMpaB5DdIaGW6yTObNOcLs0GgCKhdxSpJGTbSBCbX70bZlc8xLxKHe\n2xDXhOAj3s3vrh2gbODXBA1uY5+tkXO5K1m/9E1Sen9DqU8nXW3b+fzCo9wy83WmjjxKvbaG3J7T\n5J5byIs3HKTW8hCV9VuxGhxMilvLxcZtqEQmIoJvYF9xJfeNaaXTNMKhRg1LEtPYkt/EfVOC2FFc\nxS3jAzhndmH/zqd/oDNE8FMhhLrgOx07PciJd37DgcpOlsQEcLKxlhkBCgz2btqNIqb5TeeFHBP3\nTrBjJZ/DzRHMiZ9Ge8cW6oaDmRy9EJnxXd7KuYMHY/9EV/QGFg+e5Nn8FjrcZvC09gtK4p/jKuMu\nnsvupll9NY97bqIu4WmuaWrlK+lH7M56lImTd7B6qIsR/+kUhi8lslbDLHsOzdGHOVHXwInMRegl\ns7BFDZDut515Pe24uqaRGzsfUX88i7rKcfXLw67+ftfUpcMa+rrSOOQ3BrHLJaZUHqN3KI9jniGc\nbVuDpEaDqyiLeXMO/SXgqxZxUp5GY/ggk2r3I+k8yw6XUC7kXsvNCzcy33AvR4JdCCh/mY3djxLj\n+ILfpobztetSksqe4cWBWwgzf8vTSfEccp+ItuYl3i17iMfSt2KQ305WZTYTvarQed7KoYsXWR1Z\nid2WwFtFGn473YOTrWdIdLFjR8X5bhtp/iEca+xiTpgXy3/9DlMmfL8tnoKfFiHUBd9p1XX3Eivu\noqRvgPEeOs52m5gbGME7F03cmBrH3sJslkX0Eaj25oWSEG4fL0XsPM7O6lRWJATi4jjAG0WLeCrw\nG9FunkkAACAASURBVBrDniRK8QJP7ZxH/MRCVmj8sckWY/PawMufrSZuUj63SBU0et3BWN1r/G6v\nL8Mh43hcu5XasY/j2xFGujWHpqjDZNY2cuLk1ejl03BGdTHPazsZfYPIPKeQH30Vus5QFg4WYwk9\nTq4tj2OZ47lcNQun8/vt5xOJhkmIy2RueilTxNMQNWVw2D2JEa86JlcdwdSfw3EPbzK7bkZc44ar\n4zRzM74lIzQK/9qFZMqnMOBdSWDFRjYO3oNnRw7PXTNMgflBYtreZrNdTt25BJ65+UtGep5Ha9zD\ndqOB+qJoXlqdS6ntN0TUvsALLdfy1KSj9Noz2FGmZ31CAWbbJN4tVvLChHbqhmo50eLOouR0Psmv\n5cEJOg7WV7EwUMvZzn7S/DypIJDPd77yA50pgp8CIdQF/6uCC0a+fuW3fFzSx7oJkWzOb2DtpHA+\nLSxnTYKSduNlhqwipvjN58UzPTyY3IqH2sTz55P4VeIQXspKnsmdzm/iz+MmX0iRZCPbcu/nrviN\nWCIeYV53Kx/0HOJM63p+FfEKpogHmdlh5qjifT47+RCzUj9mnjKeXvVK4tz+zLdt5WSeXMKwajLi\nyDYWum9n1qANq+9UikOvwq/VgznmQnrCjnKm7xInTqTT0p+OKEbNmMC9zBnJRmWzfK+eGGRKjstm\nUtO2FEelnlDvk8ybc4Zprsm4NcznuHICPYGdpNYfRNSdw0k3DUd6b4IaX1ys2czN+IZF3smcN9xH\n0OAOvjY3kFuwktsWbmLm8APk+tpwNrzDlppfMy/ibW52uY5T3m7YGt7i40sPcsfsTUSbn8Ro3MNL\n5VN4ZWoB3SZf3rjox+8nVtE1PMKmiyE8PjOE7NZjhGjMuElD+aLayqrEBD4638z6CaF8XFzDDWPd\nuPX5PxEXI/+BzhjBaBNCXfC/uuHGJ9H0V6BSOGgZGibUVc3gyBCI7MS5BvBRlZJlyeP5siCLxaHt\nROhSeTJHzaPJVfiplTySE80Tibn4a1LZVJpHu24yv9GdoDb8ScaJX+fpvfG4JFp4UNZAZcjDTJS+\nye++cccQmMBjul1cjnuaJR1l7LZ8wVc5DyCP7+Ealx1M0csZDphGacBVRDXJmEouDSFHyWpo4WTW\nVQyI03BGDTPDeycZg824uaZxIXw2BmsyIqvke/XEKbehFZ8nuT6LXn0+x10jyO1cjahagac0l4z0\nQ8wKCieocT5nxFNoDDGS2HIQVUc2Z12cfNu/Bmu5C6sy3mSJ/VYOBoYQWfESrw2uxaMrn+fm28gW\n3UVcwytsNCdirjDxh+Ut5HEfUbUv8MeBawi3neDOmHl06rN4+dJ0/jStg3ZDO69djOelqRKqBk5x\ntsOb+ePm8kVxOffGWTnfX4+7TIZIJKfPZMVVqUAqUjHgmcq2rU/9QGeMYLQJoS74H1XXWfn4qYc5\nUNXB9XFeHKrv4OoIXz6rGOT6xAQ2ZTdzZ6qOmt5s7CIRk3yv4fWzlayPryRIN4HHsyU8nJiHn24u\nL+TVEz2mlgzPJHxtcRRK/sy2s/dyY+JbePrfTNKgjtPyt9h+8l7mpXxMmksaTtFcdN4v8sLOqUhj\ntTyi+AZT4FyqPRcxrtnIOMUZyvyPk3lphDPZ12D1SkQS1sBi3S7ShkVYvadwKWg+np3eZIwUoQ/M\n5IK9mBG79Xv1RSWVM55UVG0ZZKpTGPRuI6nlCHTnkaOTc2RwJbb6YJSDJcycfoCMOC2xbfM5b5tO\naZCU2O7DSNuPsdF0PeKadn638iId/U+iGfmGTEMZp4pWcfuCd0k1PkSVroPmzn3sKVnPHXPeJm7k\nNwyKCvimv462Wh8en5RE59BXbLo0mZemaWnSZ7K9cgx3TxtPfusBPOUWgnSpbCmycM/0CHZeqOC2\nRA/2VrWyNDqQXaVtLI7x5ME/vU1gwPf7z07w0yCEuuB/dNvtLyFpK8DT1Zc9ZYOsSY5ia2EDN6f4\nc7T6EumBDrRSO/tb3VgYO4Ovzx9iRmAHMW7LeCm7kbUJRQS6rmTjuQvMiilHHv4Ac4ZP8GzuAENe\n8TyqO0l1+JNMdWzh2SMqDIGxPKr7moqYp7m6L4t3W/I407qem8a8RqDXMlSWiSQrjlHskcnRfDcK\nLlyFKCwct6B8lkgPMtYWTGfAFOrd5zK2xUyyNJfqgOOcruvmzNlFDIhTcIY7cUht36svYqsM6hx4\niYuYOeMw00MCiGzNoNAxlctBEqL6juLVlkeJrI0D1qUMNU+AxhomTzjI/IkGxvXModA6D4f4FDV9\nR9hd/hBzot/jdu8MDnpOIrryRV4fWoVnTxG/myXllGINMTUv8MrQ1fgO5fNUaggnXdIYqnufovpQ\n7k6dSdPgNvZcTuShyYlc7v+ckm4v5iQu5tvSQm4IH6DHZKKwR8r04Dg+L+/ipqQwdpfWsWSMFqNp\nCGtwOpvfue+HOXEEo0oIdcE/1N5h582H7+dYTTsTfEWIJRZ6DSZ81FJEIistJjtTveJ47YKYWyf6\nUd5yCJnUQbL/SrbmnWVhZA1h7rfwQdEpJoc34h/4IFrRH3l5/0rmpXzFOK8MgkfCOC//Mx+fvJvF\nyR8z1iMDN2syA+5/YOMXKwgbX8Md8h7Kwh5mrulz3qqsIv/itYhjPIjxO8QiWy4hivFUBc9gQJTG\nrM46vF3OUORymhMFnhRdWIAzOBxtYBlXqfaTbNZi90rGJvl+149lNjPiniLOqyx8a1iOsXUM4pZa\nJqYcZs6EIcYPzqJ9aAZn/ELwtGYT2ZpNk+UC30hmUt85D3tlDzMm7OXusHEc1iwjse5V3rWG017i\nz+Mrv0E+8BRmsskfyOf4+dXctWALMcbH6JGXkt17juzz83hq2df08AjNTe9yudWH1SkLqe/aSnZT\nEKsmLaCg5QtcJBbCvefy0blBHpsgJ6vjImNdRAzawGoBqUyKSupCVrONeZEePP3BZtzchHeZXumE\nUBf8Q3ff/zbG6hOEuAdyoKaNFTEeHGnoYnGYP9sv67k+KYH3smu4M8nBkOMyhb2ezIxawNELXxPv\n00O0z23sLv6W+KAuQv3vpqb1HU62L+NRv500Rz7DjJGdbMgSY/SL5hHdMaqifssc4x5eLuyiVrKI\n+/3eYyD8Aab1mDij2MwnR+4gIeUsy+wX0LpNpSJgLnJ9BBnGIoxeJ8ixXCDz5DRqu6chiVGR4HWI\nuY4CguTJ1AdMoUc2jcld7cQqShBLzN+rN3a7knJzMoW+PviOnCGkPZdm60WOiKdS2bUAR5We6IDT\nZMwqYKosBVnPHE5ox+FU1xDbeoKhoTy+kEyipiiFO67eygTDfRR4OlE1vM3bbfeSIPuSx8ZGcFS7\nmKjq3/OnoSW4913gd1M1nFQvJbDuBTa23MY14Xvw97+XmqYttHZrWJy0goqOT2gbUDE1bgWZlaeZ\n69+JzBHM1jIp66YmsPN8FWsTXfiqtoUlkX58Xt7FNdGe9Bt6UcUv4Y1Xbv6BziDBaBFCXfDfDA46\n+f36ezjb2EGwxkmUTwjbSvq5bWIkH56r59bUAI5WXSDdz4KnSsVHNd4sGxfPxbovUSicJAXexKGS\nfYR4DxEZdAeVjZtpMoewws8FnSSVKvGf2HJyHcvHbSPcZwnhJn9KFJv48NhaZiV/RbpLLCblYrw1\nr/LSV4kQ4c392gM0RD5C4IA7k0W5VHkd51RDP2eyFzOkjkcR1st83RdMNBsReU6lyncOmiF/Zo0U\nY/LIIt92gZNnU7hcl4bdKfte/ZGIzCRE5ZI+rYTJ4lTk/bM4qR6PWdtEbOcJLH155MldyBy6DnO9\nG+7mS8yacYgZQT5E9MwlX5RGp1snATV/YtPQKhRNdTy1pI4m0yO46/dwaLiVvOIF3L34E6INj9Gu\nqKa8+xgHS27gnvlbCbL+BrMlix3tIsa6VhAcdDeXG7YxOCRmRsJqzjftRoOZqMCl7D5fz33xfTQb\nuijuVTAjLIntFzq5dUIk24urWR3vRttAB+X9TqaHevHSp1tQqX6gE0kwKoRQF/w3jz65nY7z+4ny\n9Ce7uRF3mYMwdy1FXb2keKrptwxgcNiZ4BHPa+cl3DbBjbaBYzQZXZkcvpTs8t24u1iJDbqZ8oaP\n6LT7MTVyFqm2HJ7PtjDiG8b9Lnk0hTxKqmMzzx31wBIYxAMux6mLfIK5Q0d5q7aUc703clvEJjx8\nVuJjjsLs8RpfF7pwvnweRPgR5JvPVZLjhEsj6faZSqt6JuN6ehkjy6PUI4szlVZyzy1kWBeDI0KP\nNO4oNp8LSETf763xDqcdSXsqtstzEdWpcTVWMnXKIaZHaojvT6fMmka5lwsBhiy8O/KoddRz0LaQ\njs5URA1tpCQeZVnyCM7+xxmUXqStZz/bq+9lZuA21gdN4ojbNCJq/8ibA9eg7b7M79Kt5MluIbTx\nFf7cn4HbYBlPTXCnSJLIyZpionX1hATfSVndTuwWK+Ojb+BszRES3bvxUM9kS+EIv5kgJ7vnPMEq\nMWKRitoBM9Hu7vQardTqRcwOC6RjqJuAtFt4/umrf6AzSTAahFAX/H9GRuDpW++kqLUbscjJjOAw\nzrY2kOIJdcNGktzcOdhiZXF0MptyWlg/zo6JCk63+zMrdiYlNbuQKcUkBN9AWe0nDOLOxMgFqEc+\n5bWTy1mdtANvv9UkGuFb006+urSOm2I34+23ikiDB5eUb7PlyM1MHJfJNRp3OjzWMFbyHq9kyWlU\nz2a63z6mO5rQuKZR4z0biTmcdONFzK4nybNfIOvMBKrapyGO1mIPL0YScwwPtQdXxy7kunGLmBk6\nE5Xs+42iBouBrIYs9pQc5tvKwwwY9dgr5yOpH4ejZpDY4GxmTy1msigFsT6dU9okkFUR1ZXF8GA+\npyQR5LYtJ8p2mMemyjjP7QR2b2Wv0cLFkjTuvmonkSMP0KpooaVzP5+Xr2PVxA+ZLV1LlVJPQ+d+\nvrq4it/OPcCAbDVnqrMJUbUQEbKO4vp96BgmJnQVR8oKuTqkBZEtmC2lCu6ZGsX+ihKuC1eQ09PN\neDcXTrdbyAgLo7C1gf4RmBDoyeu7PhTujnQFE0Jd8P957g/fUJ75MbHevlT2dlLbb2dxTBhflHey\nOj6EDy90sWZiOJ8VXGBl5AhqhYXP6v24OimR6sa9GEUqkkNWcKF2B2aJhtSIJdiGPmRvVTr3BxbR\n43s3geKNvHBgIoFxXdzkMky3121Eit/kxUORiELduccli6awx5k7dJatnbkcr72FFWM+ZKxrGrVe\nixkzaGSsOIdSlyxOVdvJL1jIsFs4joh+ZLFHcXrVMNlnNqtSF3JVzALC3X/cO/3U9NXwbeURdhUd\nprDnFKLuWGyX5yGqdcVFX8OUSUeYGakgbnA2Jc4p1LrKiew+wPmhYr4uv5VFCR+zxn02x11SCW58\njbcHFqFoa+a38zqoEP0K/473+HgogJ5qFRuuKqNW9AA+bX/mjeYZ3JyQiU1zC/k1x/GTdRMVdgvn\nar4hQNVPsM9y9l6oZf2YDvpGrBxoULA8eQKfnmvkzkkBfHahnhvG+nKsrg5flYixvv40D/aRcNU9\nPHbfrB+1Z4IfjxDqgv9it8NjN6znckcPvSNOMsLd6TcNk99q4+q4WLYXN7AmyZvsllISXK2EaPx5\nq9yNVamBNHccpNOqZWLYUs7XfIZTpiQp4lr6uraQ0z6ea6N9SLCP8GHLGQoHlnJf0KcMhjzGDH0J\nH7bkk9N1PbeHf4A8YB3xBinnZZvZemQNyUk5LNNKafZZx1TrTrJFOZzMnkh112TE0SockecQR57E\nTxPM0viFrBi3iKnBU5F/zx0u/64R2whnm86yp+QwB8oP021qx1E9B3FdKs5qIzH+ucyeWsw0+0xO\nK64jtP19vhhWUn5pHOuv2kWs+V5qlf0Mde7gk9o7SQ/eyS2+6ZzVRqFqfpN3G25jZsAebvSZTyUW\ndlSbWRSaj8rjNgpqDuEuHiAm7EZya48yRteNj9t8thX18/C4YSr1dbQZpIz3HsOuy72sTozgaE0V\n8V4yglw8OF3fhUTiZKy/F29+sQWRsBHmiiSEuuC/vPHuGXL2biLGy42+ESNnm01kBMuxiZyUd/eR\n4qmh39aP3uFggnsir593sjZVR9dQFtVDHkyJWkBh1W5kSgmJISupa9lKvTGU2ZGpeDsO8PyxmcxM\nPMlkz2RcJIm0iP7Mu8dWMyPxBOluEVjV89HIN/LKNxPRRom5Q5tPU+jDzNZns70nm6MVa3DE9SON\nPYLYvY3p/vNYPWEhi2IWEKALGO32/UPNg818W3WEzwsPk9t5AmdfCLbL8xGX67g6eRsrXeaS6ZJC\ncONGPhiaja1xmN9cdYluy0No9Ps5PNhFwaWpPLBoLx62RzFb8jjZV0tB6SSenX+OTtEcDlVXM86j\nAn//dRTXfokKE3HhqzhTdZJUz07cVGl8WGTh4YlKcrovEKoQIRUpqdZbCdS5opOrOVpvYHKAAj+N\njqbBAWbe9AS3rxk/2u0T/BuEUBcA4HTCgyvvpLGnn9ZhOwleUoLdfDhc18l0PzE9ln7C1WpO99hY\nEJLMG/nd3DFeyoC5mPN9XsyKnk3+5S/Rah2MDVpNYc0OzBIdqRGLEOu3sb08nXtDs+j1f5A421Z+\nn+mLNNiF290u0BZ4P5PNe9hYNEyjdBrr/bYzEng3qQYDZ5zb2J51E7ZZl1HH5nLXpDtYkbSIiYET\nkYqvrAu/VruVvJY89pQcYkvRh4yUzUZ2Jpzb5u1kgn0dl9RiJK2b2dx2KzGSTB5M8iFHeQ2BLX/i\n/f5pyDrbeHKGgYvyNXi1bmRTw3zuGpeJSbWanNpT+Ei6iA1fQ0nDPiR2CwkRKzhZkcss/w7UojFs\nvijhvrQAvqkvYZGfnLKhfsK03hyrt7IwxpN+4yDnO014KsVEeXvy1p7No90ywb9BCHUBAJ9+foH9\nW14i1EWDXC6jpL2HEZudmeERHKpuZkmEFzur9Vw3NpbNeVXclgAjNHC2w4uM2OnkXN6Ph87C2IDV\nHC/7Eg9XG3GhN9De8SGF3Yksj/AiFjs72k+S3bGcO8O34fS/m4mmNvYNHOFgxWpuiNlOkPdVeBJJ\nr2wTm75diHGCBWnKHh6e8gjPzH0IjfznccdkvVnPM4df5Z3Ct7AX3Ii22M5DizNRWR7C4LhITU8W\neypXsWzcThZrl1KsdMPWvoUP69YwN3Qv13ototZu4rNaM3OCC3HxWsvF+i+xjVhIG7OKkuY9OCwO\nEiOXc6y0gKtDOnHYvNl+Wcptk+PZdaGKWxLc2Xu5nSWxgZxrbsDsFJMS4IHY7qRt2MiKB55n+VXR\no90qwb9ICHUBAA9cfxfdQ0M060eQOmFqiBfdxkEK260siY3ik+Ju1kwMZ9f5i6yIcCCS6DnS5s78\nuEmcrfgWf1cTCf7Xsaf4OAm+PUQF3kJ+zWcYRe5MjkzH3bKXlzLTmZ2QyUSv8eikCbTxNu8ev5a0\n+Fwy3H0Y0V2Nt/gtXj0WQ2dEEOJpH7Iq/ib+tOwZvDXeo92iH0W7vp37921gf+U+HGfuIrClil/P\nbqZJdA+6gb1822eg5HIyD8w/gKvjQczmAs72Xia7fBrPzM2hV3IVWbVF+MtbGRt+M5ebP6O5T8NV\niYspad2LySQhJXIxB0svsiK8F5NZwsFGCcuSkvm0oJF1qV4crq4i1kNBiKs3Ba2dDNjs+KnlBHh4\n8c4X7452iwT/IiHUBRw4WsPWPz6Jh1KGj1bLgNlEbquBqX4y5DIpx5uMLBkTzpHqCmb5OdEqRXzZ\n4MpVY1M4VX6YMHcDCT7L+KjgHBnhjYR6reaLi8cJ8xkiOmQNfT1bONGYxu1B5Qx5ryPY8R4vn4hB\nFwI3u1fR7XcPKZZdbCwyU6GcDhmbmR46jS03/IEoj6jRbs9/REV3BbfvfIJzTcU4T9zOODJ5IMmd\nAvkyvDs28UnveKztwzyZ3kKN9HbcO97nvaYJLI/ORuG2lrLG3fQPSFk0din1Hds51+LH6gmzuNj2\nFQMmKZMiF/HVxXLWROrpNg1zvlfEzNAxHKptZmqAAplYxslmExP8VPioNQyaTfSZLNzz7BvMnOI/\n2u0R/At+jFBfCLwBSIAtwB//wTHpwJ8AGdDz18d/Twj1/5D7V93D0PAQAyYL7cM2Ql1ExHoHkN3S\nTqjWhrtaTUVfN2EaCFC7sLNOxdKkBDLLMhnjpSfeYyF/zqti5ZgagtwWsqmgirmRlQT5rONM3ecY\nRe5MD08j0V7B2+Ut1Doms95/P8MBDzDRVMwnrUWc6lwOcz8nOsiLj298jbTgyaPdllFxquEMaz97\njMaWETi+gvkhe1jtO41C5RiU7W/zQcsKEtSnWB8VQ5kohOMNpfjLWkkOX0Nj28fkNYZwZ2oqTX37\nOVgbyp2Tx3Op61s6hxSkRc9lX0k1t8aMUGvoYnAEAnUeWG0OLvbA7DA/6vu6qR2w4aqQ4KGU4OHh\nw9ufbxrttgj+Bf9qqIu/4/cS4C3+EuzxwA1A3N8d4wa8DVwDjAWu+2f/ccEPL/dcB81dPRjMFvw1\nCuaFe6OQSjlY3ca0ED+6zDBsMuClchKo8eGzag3LEuM4XppFgpeBsW7pvJ7bzK1xbYTrJvNyTger\nouqI91jOzoJjuKttTI9ZxLB+L3dlR5Lk3cntiUrC3VfS17OJ288GcipCh+fqnXxx1ytU/Pr0LzbQ\nAWaFzaD2yTy2rX8G1xs/4UigN3ee9kQ/8C7hHmu4O8lJtOsA688GYzF/Q0ZMOmKphP1Fh0j0up6r\nw1vYmFNLtPssro9u462cy4z3mkuQm5ns6hNcmxTJ1go1UdpQpFIR2OxUDTmYGxbE0ZpWLA6YHeZD\njIcOsVhET283lyoGRrstgh/Rd6X/FGADfwl1gCf++v3lvznmV4Af8LvveC5hUv8PuH/1/VhNg1id\nDnqGzbTpbST7KPHUajhQNci1sd7ktbcyy9eTbZcdrEiJ5EhpNqm+emJcUnk538LdY1vxVGt47pwP\n94+txFsdzrN5Nm5MKMLH62aOVn6JVaFjvq8vauU4uq3v817WIkamN6GKzeal+c9z79S1V9xulh+b\n1W7lT6c/YEPmc5jL56DO9eHejGPopPdhNWbzTZsRd0k7UyNuoKtzK/suJ/F0mjudw5d4qyyB5ybp\n6TK08kF5KI9PdqNiIIfqfjUzY2awq7CRdYkKjrZ0kB4czN6KNhZFaTFa7BR1DOOmkOKjliGVitG4\n+fLW9tdHux2Cf9IPPakHAs1/87jlrz/7W9GAB3ASKASEj4UbJeVVAzR1tlPfN0zHkBEftZz5kb50\nGi0UtHVybXwgey73MS0wjI8rHFyXEs63l3JI8zUSrYvjj+ds3JU8jFZl5eUL3tw/Xo+7Ws7vzqm4\nN6mRaNfZfJBTQKirgZnRi9HIS9l48hJvDMzAtu5jHlmTTNfTNTw4/U4h0P8BmUTGr2ffS+fTNfzq\nxijM67bxanc6b2Xm46KoY3ZcBu4qG9vyTjHGfRF3JDTwdL4Db40HD4zr4sUiF9w1Ku5OHODV/GES\nXFOIczeTVXmW1anBfFhiZnZoJLtLu1ge709Fdx+1/UZmh3sT7aFh2GahZ9hER0cLjS2m0W6H4Efy\nXem/gr9M6Xf+9fEaYDJw/98c8xaQAswB1EAusBio/rvnEib1H9mDNz+CbbgXuUSEzQHtQyYaBqzM\nCNFicZjJazWzODaKHcVt3DAhmq8vFZAeMEKQJoCNF3SsS5bgsF/ki5oork/wRWw5zccV41gXa8FL\n1s3v8sK4Jz4fD/el7Kk4xnlNCqJpW1kxZjWbrtuAj8ZntFtwRWnTt3HPrg0crP0S55l1pNnzuCr6\navr6drOlLI0XpnTSbVHyQYUb94y9iEkygc9L9dwWV43dHsnmS3IeTTFRr6+jqEvB3DGT2F1cww3J\n/hyvqWGspwJ3tRunG3vx0kgJdlEhk4gx2+yoPIN5Y+tLo90CwT/hX53Uv2ucagWC/+ZxMH+Z1v9W\nM395cdT016/TwDj+e6jz7LPP/tef09PTSU9P/2fXKfgOzW0m6pqbMdjt2B0gcjgIdVexMMqHM609\nhGpsZITo+LqiihvHRbH/UhFzAu14qTx4p1zJbZPc6erPoqTPl+vGx9DS8SVlA8HclOKHdeQQr1xK\n4cHxPfgoYtiQXc/Agh5SoyrZcWseMV7C3ud/R4AugP13bKas62FucH+I3BoD1SfKeGbyeB5I7uDF\n4gDuSiri1tQM9lT6M9n3LKtSl/BVxQAz/CpYlzqFTRds/CopAImom6OVhaxOjORoVTVTgrQYzVbO\ntA6QEelNz7CB6l49djuIpeBmqKG3z4qnx/f72GLBDy8rK4usrKx/++9/V/pLgUr+MoW3Aef4y4ul\nFX9zTCx/mdYXAAogH1gFlP/dcwmT+o/o4XVPYulrA6cTmViKXCahdUjP5Z4R5kf6UtvfgcNuJdzV\nndyOXiZ7S9DIReypc2dJYgyXmo5hF0uZELKIkxWHcNPZSApeRlnjF7SN+JERkYzacpQXL87EuWQL\nz8x6hg0L7/+/U4Tge3I6nfzm61d5Pft1xPtvY0NKHnrpdA7X1BDnWk9owGqKG7/BZrWRFrWEvIaj\neMqMRPnNYU9JEzfHDNBnNlLaLyLRQ0ePycSQQ8ZYrwCO1bUQolUQ7qnDYQer047NYUfrH8Mr7z4z\n2qULvsOPsaVxEf9vS+OHwB+Au/76u/f/+v0xYC3gADYDb/6D5xFC/UfSP2Dl1uU34HCKUMrFmKwO\neo12ItwkhHt4c7ium3R/BZ3mAUROBy4yCWqZmawOLfNjJ3KkNIs4Tz1x3vP5oLCU+eHNhHlezacl\nBST5dRIZtJrKpl185RiPYvJ+vl23h9lRU0e77J+lQ5dPsuzT1VizV7FKk0uo341UtO6hoUfLirGz\nqe/eR3aTH2smTOJSx2HahxTMis3gm9JLXB2ip2vECQ4Jg3YI03pyrMHAwmh3OoeGuNw7glYh40UN\n7AAAIABJREFUQykVYXE40YhFbDv4OWrVd720JhhNwpuPfoF+fc9z9DfXMGAawWx3oFPKCHZxodMw\nSEmnhatjQjjd0swkLxkNRj1BKjnn+6ykR6TxaWExV4f1EaKN5eUCB7ePbcJPHcSL50SsjSvH1y2D\n94tLqUsZJDzaSs7De/DV+o52yT9rLYOtTHljOS1VHsSVSbg5KY3Ovm/YURnPExPUdBnK+agigscn\n6qgfKuJkszvXp0ziRE0BM7ykVAybSXDxIKvNyLyIIA5X1xHloSTM1Z324WH0ZgtyiQStQo53dDK/\nf/2R0S5Z8L/4oXe/CH7iTCMOKivLGLHb8XPREOnpik4u43RLLwazlaui/dh3uYMZgf7kdVkY4+JN\nca+DOSGJfJBTzapIB/5qN16/IOKu8aBVOHmlWMHd40YI0PmzIW+IuvlF3DgnhcqnTgqB/h8Q5BpI\n7dNnWZ4eyeX0cv6Q00GoLpK7Eod5+bwId7Wa9UlWXj9vIUwbwJIwKx/nlbMoIonTXU6SPf3JbDMw\nLzyQvWVtzAn3ReKwc6KxG5xOgly1uCuVDJksVFzIxWoVhq2fE2FSv8I98+irNJQV0WW0IxKBwQoK\nsZnxfr4MWvQUtpm4Oi6CfWUdrIjz5kBVJ0vHBPJe4RBrk6SMWC9ztDWAa+LH0NlzhPO9gSyMTmBk\n+ChvtqQhnvMpHy7fzK2Tlo92qb9I75z5jPu/vR+OrOXxiDxQpXOgsp6Z/vW4u2Swt6yZa8PaEIsD\n2XpJwvrJHuwtbePaeB92l7Vz3Vh/jlfVEuOlxE/rzsX2LoZtIpQSERKRCH+dgqgJs3jqufWjXarg\nfyBcfvkFsdmcXDd/FV5qBSarDZvTgZdGjVYmobBjCHeZmRhvH74s7+f65DB2l3SwKimIbcVtrE4O\noqrzLIM2FWlh6Ry7nImfywiJgUs4W3WQU97euCZcIueBr4nziRntUn/RLrSVMvOtpegvTWH+UCOp\nEUsoaT6IwSxiWtQCzjacIViuJ9Qrjc+K27h5UjCfFzWxOjmAvRfruSbGhebBfpoMUiYH6LDaoc84\ngkQsRioW0WeysPf4LuEmGj9RwuWXX5BXnnsfqdjJiM2Ou1aBn05Jr8HEiYY+xnoq8dEqyWzoYEVS\nEJ9faOH6cUF8er6JG8cHcLSqCK3CSUZgMh/llTLJ28IU74lsyblIVmIfadOh5XdFQqD/BCQHjKVl\nQzHjpw9ydIyRbeeKmOGfRoKrlW3nipkfMh6HGLLqirkpxZ/tRXWsGh/ErguNXBvvR3ZrF0q5hMl+\nrpxp6Kdp0ICLUopKJmbIbEUmcbLp9Z2jXabgByJM6lcopxOun7cKuQj6LA4A9FY7XgoRiX6+lHR2\nIhebifLw5lB1P0sTwvn8YjOrkkLZX17N/GAbXipX/lysY13iCBpJP8+VRWNbvI3fTn+aF65+QNiu\n+BPjdDp5dN8rvJH/OvIDN/HsuEYGrTI+uuTKI6lm2g3tnO2QsTAynH2X21gRF8TB6nrmhLjSptfT\nZZEz0c+b6u5u2o1WlFIJMrEIb7Uco9XOnuO7RrtEwT8gXH75hXjzlR2cProfnULG8IgVp0REgFqH\nTGbndKOeSX5ynCILZb0mpgcGcqCmk2uiAzlS18icIB1WZxfHWnxZHBdNe08mn1rikE/8hm/X7mVO\njLBd8afsYFkWy7evwpazgjtdLuHpNpMvy5pYEtaO3eFKXqeRmUGBHGvoZG6YF0VdnQTrVOikGs60\nGJgWqkYmUtJhMOC0O9HIJfSPWFm8+hbW3rF4tMsT/B0h1H8hVs5fic0uwksjQymVIRND46CJlkET\n6eF+1PR3gdNChIsb2e0DzAzw4XRrJ1P9tHQY++l3OEgNSuerS3lcjDcQGm4l77F9+OmE3S1XgpbB\nVia/toy2Wg8m1sCC+JnkN50iVAVaqYZL/UYmeHlzrruPcV5auo0jDNokJHr7c7qhBXe1kjA3JThF\nGC1WBsw2JGIRu48K0/pPjXBN/Rfgo/f3I0GEzeGkz2incdBIfusgToeFuVGBnG3px0shxVutpLS3\nj2n+bhR0dZDmo6LDNIBTImK6TxRv5LVwceZFVs5MoWbDKSHQryBBroHUP5vNNdMjKZhSxdv5dWT4\nj2HAJmLYZiLeVUV5fxfjPNU06vXIZRLCNUoyG7uZFeaPRubkfJue2gETvUY7TgeIEfPVntOjXZrg\nexIm9SvQyvmrkInFGK12hi02ZGInkW7uKGR2TjQYmBPqSouhF5HDirdaRcOgnjCdmgGLEacIwjRu\nvNTsAxk72HzNFtZNvXa0SxJ8D5uydvDQ4QcQHbuJpyL6qNB34yYVIxVJ6R6x4q1UYbLbGbSKiHLz\n5VhdDzNDtYiQ0TgwiNnmQKeQIRWLsDmd7BKm9Z8UYVL/mdu/NxMJIJWI8VAriHB3IdHXi36LkbNN\n/SyM8qO0rx8XqQidQkbHsIFgnYpBiwmnWESQWsvvB1Wo0r/l4oN5QqD/DNyffhNF959GNvcrXuxW\nMkbnxYDNiR0HbgoZwzYLTpGIAJWCwq4+Fo0JoKitn+YhA9GerkS4u+GqVCCWiBADZ7IujHZJgu9B\nmNSvMKvmrgKRCIVUgk4hweJwUNNrRi2zMD4giMyGLib5yOgxDyNyOlFJxdjsVmwiJ/4KFa+a1OjG\nnaf6mVP4aH+eN3/+pWodbCfm99MxnZ/BE24mag1DeEgljDhESJ0wYBcRqvbgVJuB+ZFeVHR00DUi\nIcpDiVICgyM2nA4nTjHsOiJM6z8VwqT+M5afU4pIDFaHkz6zlep+E5e7hgl3lZLo68U3lV3MCNDR\naDSgEouQSUTYHTbsIvCRK3nFKsNt3EXqN2QLgf4zFOjqT+0zuWhT8nhZLydMpaXf6kQpBhNOvOUy\nKoYGmBPqwcHKbqI8XEnwUNHQp6em18yQxY4dJ06HiKrK1tEuR/BvEib1K8jqeasQi8SYHTaGLXY0\nUjGhbm6M2E3ktxpZGO1HYUcXUVoRw3YLMhzYRE7cpDLeFEnwjm2g+tmTuCpdRrsUwY+o19hH1HMz\nGSwdy6NyKy0jJtxlMvosDnyVGi71WpkaHMDhqmaS/ZW4K91oGujDYLWjlUkQiyTYRQ5hWv+JECb1\nn6nGunYQOZGIRbgqFIS7uRDl6Urz8DCXuoa4KiaQs029xLko6LdaUODEBujEYt6U2fGPa6Xu+VNC\noP8CeKo9qH82G4+xlbzmEOGnUNJvteMhk9FsMjLeU8OJ+k4WjAmirs/I5d5eQty1hLm6olOqkEoA\nB/T26Ee7FMG/QZjUrxDXz70OkUiKRi5Gq5Biszuo6DWjk1lJ8vPneG0P0wPVNBn7cZOIsIocyEWw\nWWMlJMrA5WePopKpRrsMwX+Q3qwnesMcOqv8uc8motdqw12qoMVkY4yrFyea9CyI9KCyu5Muk5Ro\nTxkqiZQBsxWrzQlOJ7uFd5mOOmFS/xka7NMjEUuxORwMWR00Dpgp6TISopMw1seTQ9U9zAx2oW54\nEHeZBJsIxE4nm11MRERbqXruuBDov0A6hY66F7IIHNPDW0oLrlIpA3YrQWo5pf39zAtz41B1D1Ge\nbsS4y6nqMVI3OMLwiAO704FE4sQ8YhntMgT/ImFSvwKsmrMSqUyC0WrHYLWB00G0lztysY1TDQbm\nRXlT1tNJgFKCFTs2u43t3npiw9WUbNiPXCIf7RIEo2jENkLchkU01Mm4Y1CJyQGuciVVg3Ym+vty\npKadqYFqxBIVNX092B1idPK/7Fu342D30d2jXcIvmjCp/8wMDehBLEIukaCTS/HXqkj098JsN3G2\nSc/8KD9KunoIUkpxiByYrDa2+/WRFOXBpWcPCIEuQClVUvn8EWKixGzxGEIqggGrhRhXOXmt3SyI\nDqCwXU/viJ54Hy+CXbXoFHLkEjFiISKuOMKk/hN3/bzrcCDBTS5FLZcikkDroIVug55poWEUtHYR\n5QpWbAyYLOwL62BiWBS5v92BRCwZ7eULfkJsDhvJz11LWWMvN7Z7IBLLcJMpKem1MSPEm/zmJtRy\nNaGucpyIGbZYMJjtiHGw+/ie0V7+L5Ywqf+MdLZ1IRFJsdqc6C122obNXGo3MGw2MC0khOzmLqJc\nRdhw0G2wsC+ihRlRCeQ99ZkQ6IL/RiqWUrLhS1IiAvgsqBOrw8qgzcw4TzmnGrtICw4CLFzsNNA8\naGJoxInVDmKxDIPeMNrLF/yThEn9J+z6OStRSCX0m62Y7Q5wOvDTKAnxcOV0Uz+JHhLsTitNw2aO\nxNUzN2IaRx97T/gcdMH/yuF0MP2lW8htKGdZfSCucjk6qYaCLjOzw1zoGBqhbdiAE1BJpOgUMmw2\nK58fF66tjwZhUv+Z2P3xF4jEYiQSCTqZFB+NkgQfL3x0Ck7W95PoIcUhslM7bObI2CquGTNHCHTB\nP0UsEpP9222kR6bwVVQDPWYLeruRSb5KTtQP4qKCBG9PAlw0uCikyCVinCI4dfLUaC9d8E8QJvWf\nqNXzVoEY3BRyZBIZcomTLoOZql4zqX4qHFgpGzBxNrmMlTHXs+u+l0d7yYIrjNPpZPHGBzhUd4x5\n5TEEqhVopFoK2gcIdVMQoFNid4LF6qDfbEGE8AmOo0G4ScbPwNpr12HUG3CKRGgVEqwO6NBbsdlG\nSPTxxuwYpqTPTP6EYm6JW8sndz072ksWXMFW/Plx9tV8yayLCURolbgrXbnY1YnNKcNHI0MuFmGy\n2ZGJRPgEevPnrZtGe8m/KP9qqEt/vKUI/l1GvRGr3YnJ6WDAbMdis+KpkhLp70ubXs/lIQtFkwq5\ne+x9vLvuidFeruAKt/fBV1nzrpId4m1Yzyfjbxkk1d+XxoEhOvQmJBIpUokYnQw6W3tGe7mC7yBM\n6j8xK+etRi4TY7BYGbHZUYjAR6vDXSXlQvcwZqeZUykFPJzyOBvXPDTayxX8jNy55fdsKf2AhZdS\nsFhkpPqqGbaJ6R7WY7Y7UMlkKMRizHY7u44Jl2H+U4QXSq9gh748hMgJcpEInUxOkE5LhKc7MomN\n7JYhtDI7pxJLuTlqvRDogh/c5jueYnnoSg6PqcRXI+ZM6zA2h5kQNxcCXLRo5DKkMhEgojCnaLSX\nK/gfCJP6T8jKeauQiMS4qKQoxRIQO2kfstA8ZCLeW8tH/uXMCk0l6+nNo71Uwc+U0+lk0oYbKWyu\n567eMZR2DeKpURPsIgYkWOx2+kdsiJ1OYVr/DxFeKL1CrVm4BqvdilMkRi0XYbVDu8GGyDlCgpcP\nmzQ1xARquPzyN8K2RcGPyu6wE/H4AppaRDxsD6O8q4sRuwwvtQy5RIzFZkMsFaFRqtn61Uejvdyf\nPeHyyxWou6MHm9OOxeHEYLbTPmSldWgEN6mD8f5+vCXqwNvLTOlLXwmBLvjRScQSLr/8Da5+vfzZ\n3EOSnzf+ail9RhNdBjNGmwO7zY7JaMJkMI72cgV/R5jUfwJWzlmNQiZmyGLFYncgETnw1erwVsl5\nbVCPPO4SXa8UoFVoRnupgl+QPsMg/r+dgLN0Ig96KBg0O+jWD2N2OlFKJGhkMsxWB7tPfD7aS/1Z\nEyb1K8y9N/4KsVSMRCxGI5PgpVYS6e6Bi1zEm10mSMij5rlTQqAL/uM8NK6UP5WFfdwp3uuwIpfY\nCfVww0erRS2TI5WIQOLkyXueHO2lCv6GEOqjyGQcoae7F7lEhFIixk2lxEsjY9g+wqedVkYmHuf8\nI5kEuAk3iRaMjkifQLJ/dYzhtCPs6bTRazL9n/buOzyqau37+HfPnskkk95Ib6QACYHQQi+GjgqI\nQkBQ0KMiKnYsRxSwo6CICOqxoKKCgAIiRQSCIL2FJJDee2+TTDLt/SM87+PxQSkGJwnrc125mEl2\nhvvebH7ZWbP22jipZZxsWsbXVbJMVloWBr3e0qUKF4lQt6B7Js3BYJZQSmYUshmz2UBOTRP7KgxU\nDt7Nzlnb6eEXbOkyhRvcgJBwNt6+iZIhezhRqye9SkejwQBmkCUwYGbW+LssXaZwkQh1C3niX0+A\nwowZM40GqGwwklalJ6dZT/bgvXw8ei1jo/pZukxBAOCOAcNZNuQDUgYeoNqkJ7NSR2mDnka9CYPJ\nhEKGJU8vtnSZAmKZAIto1DZQlFuEwQw6g4kGvRmdwYiVtczpqMM81+NV7h99q6XLFIT/8tTE6WSW\nFLDa8B63Jg6iurEZlUJCqVBgZYIL55IxGozISrGWvyVdyZn6OCAZSAOe/Yvt+gEGYEor1NWhzZl8\nLyqVAqPJjNFsQjLr6eRgzZ7w08T63MMbsx60dImCcEkf3P8UE9xv48fQc/g62qJWgCS13KhaqVAw\nY+ydli7xhne5UJeBVbQEezgwA+j2J9stBXbxz06TbHfmzXgYhQIkMygVChxVSnydHNnom8RAhyGs\nf/I1S5coCH9p+/Mr6GHXnXWdUvBxcsTJSo1aIaNSKFDIEs888IylS7yhXS7Uo4F0IBvQA+uBSZfY\nbj6wCShrzeI6mqqKairKy1EpFMiSAntrFR72dnzikEmgxovfXv3c0iUKwmVJksSZpevxsrPlY+sc\nXG3V2FurUSokVLJMXmYujQ06S5d5w7pcqPsAeb97nn/xc3/cZhKw5uJzcYXRn5gbOxckCStZRqNU\nYm+lYLVUiJNjEynLt4mrRYV2QyEpyHxnF7aulaw2VKCWjaiUEiqFhB4zsyfNtnSJN6zLhfqVBPQK\n4LmL20qI4ZdLmnXLbGSFhFJSIElmjJKBNQ31qLxyyF2+DyulytIlCsJVsVapyV4ahyLgAh/XN6E3\nGkFhRlKAjMT9d9xn6RJvSJeb/VIA+P3uuR8tZ+u/14eWYRkAN2A8LUM12/74YosXL/7/j0eMGMGI\nESOuqtj2KuHsefTNTegNJlRK0OolfmwyYOxxksxFJ7G3FleLCu2Tq13LVadhS6PZeGYIY6wUmIzQ\nLJmpq9FSXFSCp5eHpctsV+Li4oiLi7vm77/cWbUSSAFGAoXAcVreLL3wJ9t/DvwIfH+Jr92wa7/E\njopFKSuoa9YjSUqOGcyU9Ivj+IOH6BcaaunyBOFv2xufwKh1I/E7NoJICZQy2KtlDHoT638RS/T+\nHa299osBeATYDZwHNtAS6HMvfgiXETtmBgoZTGYJk1ki1WSkZMBebtc9IAJd6DBG9oxkfMUs8gbs\npUACo9mE2azArJCYNX6Gpcu7oYhVGq+j777azOYvN6JWyRiNJsrMEnt67mF42jB++noTtrbi7Qeh\n46ioNHLLvVM4GnKMmxNG4nLxiulmvYl5C+YxYuwIS5fYLolVGtuQTes2YsKMSiGhUluxJ+wE3ud7\nEenRSwS60OG4usj0cu6BZ1p3fup8FpVShUqWMQKrl39o6fJuGCLUr5Npo6cim0Ahg0KS+NIxHfdK\nb2bZ+rPw1ecsXZ4gXBfPvPwCM1X+ONU58bldLjIgSaCQzEwbNd3S5d0QRKhfBwsf/jcKhZImoxnJ\nrOALcw0qdR2dM52pcwnBw10suSN0TIF+1tTYeROa5orsUMI6oxYAvVFCkmH5kmUWrrDjE6Heyhrq\nG0hPS0eBhB4Te/UGDMFniK3ozsiATix65WlLlygI19ULr7zE6EBPppf3oqnrMQ4bzBiMJqyQOHbo\nFM1NzZYusUMTod7K5ky+BwkFJrOJfBSU993P2PQBZBfrqHQOFmfpQocX6GdFscaTjIIGhiX3p7Df\nXkoVEiazGYXCzKxbxNrr15MI9VZ01y13I0lgpVTQqJA52/sAQaejcTIqGBrQicUvi7N04cawcMlC\nRgZ5ESzbEHS2P0d7/kazrMJaViBJcO+Uf1m6xA5LhHorOXrwKPqmZpAkFAol24LOEJwdxTQ3X6ob\nmyl3DsGjk1hnWrgxBPlbUWDtTlZVI1McPfHP78Ym3wQUChnMEg11WjJSMyxdZock5qm3ktgxsZjN\nYK1Uss6pAHtFM+HpHjhZQ29PLx59/30R6sINJStXz6fPPE5iWREFtWYudCtA1+hIbJ07BqMRzBIb\nfll/+Re6wYl56hYQOyoWGQUmk5lNaJEdShlX6cvozl44qKDUJVQEunDDCfJXka/xwGw0MT7Ym8mV\nQeCewzaTDoPJjCxD7MhYS5fZ4YhQ/5tefnoxkiRhNJk5bjbT2O04s8uj0en0/JxVTKCbB68sftTS\nZQqCRSxa/DyRXj4cyCukrFrHtMJo6nv8RrwZTAAyrFm6ytJldigi1P8GbX0DSfHJKGWJPAny+u4j\n4nRv0orrCPfwINJNQYVLNzw9xFm6cGMK8leRa+2Fvy308/OhrLKBsBP9yOi7jxIkZElB3C+H0Dfr\nLV1qhyFC/W/41+R7QFKgUyg5EnmIyAuDuMXDk3BXJT+mVuBo68yri+ZbukxBsKgli5/Dz82L7WnF\n+NopuN3Lj/CUAcR1O4xJlpGAmRNmWbrMDkOE+jWaMXYm5ovTFzf7JOCT240eBht+Sq9CZWXF6ECZ\nKpeeeHqIXSzc2IIClOSpfRnkJeNia8eO9FLC663pVBjMBo8UVCoZSZKYI+6W1CpE4lyD3Vt2gtGA\nWZL41rYYjU6NX4EDtiqZiaGu7E5vQqHU8OqihyxdqiC0CUsWPYOdxoWf0hoY19kOT0druhQ4ozab\n2KCuwCSZ0DXoOHHomKVLbfdEqF+Dz1Z/jlGC3ZIOs1sudzd0YZi/G6eLGymqK+WOrtZUufXDy1Ps\nXkEA6ByopNC2M7eGKKhu0vJrrpZoL2fuqY/A6JPKfrMBJDPLF4u1Yf4ukTpXadqoWGQkzppM1HY/\nwpjMHiQW1pBUWsbNYZ05XKRCazDz2kviHiKC8HtLXnwKk8KWvdkyU7oGkFlTSXxeLcOSe1IRdZAk\nkxlJkpkWI6Y5/h0i1K/CvOkPIimgWFKQ1mc/3eMHoDbKDA/0Q2lqIrEklenhzlS5DxVn6YLwB8FB\nSgptuzE9wobU8nTqdc2MCvbDQ2FF9/iBJPaKo0qWkJUST92/wNLltlsiea5QVlo2leXVmGQV+7se\nITxlIONdPHBWGfkxrYQovwgyqlVU6Gp44yVxF3VBuJRXXnyceoORM6UaBgV0Z1dGAZJZzzhHT0LT\notkdcgKTrCQ/M4+KskpLl9suiWUCrlDsmFgkhcx3Xmm41NszoNSJggYYEWCLoamOhGoTozoHkmob\nxZer77V0uYLQZk2/513CDckczcvHRyPhZOdOXG4tLkojx3yqqFU3M7XYH5PZzMY931m6XIsTywRc\nB9NGT8MMbLGuwgoT/ctd8XfSMCG0E9tTm7G388Vs0FNSm8ebC++xdLmC0Ka99uKjVDTUUKaV8XAM\nZUtKIzH+TnT1ciCmwgulqoHt6npkScG0MdMsXW67I0L9MhY+8SJICo5ipDkgiTurwwlzcSKptJas\nigLujNCwM72EMWE9qfKajLe3uPeoIPyV4M4yRQ6DmBTemV+yc5jWRUGJtpxjObX42Fszraw7DaFn\nOGUygklixesrLF1yuyJC/S/UVNeSnphGmSSRF7WfAUm9ySqpJb6sips6h3KhUqbO0IS/XRWFtYks\nfeFuS5csCO3C6wsfprQ+FztZix5rThQpGRfWmczqOnJK6umXEE167ziqlTJH9h1G16izdMnthgj1\nv3Df1PsxKmXiuh4hNGkQmmYr+vm7EWJnZk9WJrd1C2VLsky/gCFUeU3Hx0ecpQvClQgJlil0GMlN\nIX3YltpEbKQ3B3PTcVXpGdrZC3e9ms4XotkTcgKzSsndt4gTpisl3ij9E9NHTUeS4DvPXByb1Nxl\n8EMt2/JjagUTu9iTUpaHj6NMfaMOO2sr/r16lwh1QbgKaelGVj4zmZIaLZ5OdiSX6ejj1ZkfUqqY\nEGyPGQOfWWWiReKOCk9kScHXu7+1dNn/OPFGaSv4z7sfY8bMDistCus6bq33IbOyhpMlpUyP9GZz\nciNRfoPZnOpFZ89RVHrPFoEuCFcpNEQm3/FmIvyGsznZlSFBg9iSWs2M7q4kV1ZwobSccZXemB1L\n2CPrMJhMbFm/xdJlt3niTP0PDHoDM8bfyXkFnI/8lQHH+2NutmKgnwptQxUmqRl7hYoqow5HGZoU\nChZ+sBdfXxHqgnC10tJNrFwwjqYmHZKsQGGUQVZQ3yzj5ejBkXwtzSo9x6MP0yv+JkJNsOGXG2ua\nozhT/5tmTphJvVLmfM/9DEgcSISjLTGdPdmT2YC7Ywg7M72wdejPT+nBOLmMocrnQRHognCNQkMU\n5DtNw9t9At+nhuLuOpwf0nzxd41ga4qWof6e9HG0o2/SYM70OECDSmbqqKmWLrtNE2fqvzNj/AyM\nJjMbO8cTUBjERMmLGl0tSZUSN3cN4ZvEAuZ1M3OwOI/uTjKlzc0sXH0APz8R6oJwrVLTTKx8ZiQ2\nJjN5OhN9XTuxNt2KqV182ZWeRYC9CVcbB7YoCil0L2JqdjgaGzVrt35h6dL/EeJM/Rrt3rILk97M\nD46l2Na6EFlnw7HCCtRWJm7yaSa97BBDvZMpNdpxLN8Pk2YUVX6PiUAXhL8pLFRBntPdWDvdzN6s\nUMoJIMIlg9zKY0S76XDXKDhZVE33Cg3WOmu22lXS2NjEmaNnLV16myRC/aJPP/icOJUOk3sewwu9\nUUpKRof4El/aiErpzK85XnTynMXP+YU8GlVOefVWlj03xdJlC0KH8Nbzs6mq3sb8njkczD9PqM9M\ndqT7Yavx42B+E2NC/HC2UTMyPxC9bxqHpWbeWPi6pctuk0So07Kcbq4MpZGHGJMRRVdXO3ztbdh0\nvpIxXfvzVbKSBb0caSj+mMZqPXVWw6jwexZ/f3GWLgitoUuYgmzX+2myGUdhiS260s95vq/E+mQd\nE7tHsSW5FEcrBV2c7RmZ1pv8ngcokhXcMVKMr//RDT+mPmfSPVTqmvixexzdz/clymRLfl0dHnYK\nujjZEV9dhK+tFidVFMtPuvLekAJOVKSwcPVRAgJEqAtCa0lJNfHeUwPp6eTHU0dDeayYxAJ2AAAe\nQ0lEQVRPI8UNv6HVWxOi6URuo4HMSvCxs+acVSPJYWe5LXkwHi6OrPnmQ0uXf92IMfWrcO7EWRoa\ndGz3TaZTVne8tCpy640M9PemuqkRnaGZpCIHbJxns6OojPv6byGZUCr9F4pAF4RW1iVMQY7bo5xX\nRjOtx1b2lSTj7j6bwzleGCUbcmqbuCnIlyo9BNSrcckPZYtHBuUVVeRm5Vu6/Dbjhg711557g+22\nVaiMCsbrXOniYkN/H1c2JNbTN3AIa8+7M79HELrSD6guNeFm9RhVJZtY/uwtli5dEDqk5c/eia7o\nC0JtHyQ32wl9yccs6OXIlxdsGRY8iPWJ1fRwdyDcXcOtjR7IqiZ2W9Xz9ANPWLr0NuOGDfVpMVM5\noTTQGJjE6IIgNCob8qrrOFtWxJwe9hzP+417Is9Srq/hkwu38WK0CkXtNhq6fEpgoDhLF4TroWtX\niQK/NTQ3HGTJ0Do+TL2VYqMVU7qeJr4gjru6q0irLuN8WRVWsoqbMkOoCz1DggSxo8QyvXCDhvqD\nMx6izEomq+cBBiT2w9Bk5ERRLcHu9nSy0lLTkE1pjUSz0yy2Flczu98mTtgM5/s6dz5c0tfS5QtC\nh/bpq8PYUWPilM1EpnTfzN6STNRO95BSake9rgqZeqK8XEko0YHeTHTCAJKj4qhUyjwz91lLl29x\nVxrq44BkIA241F6bCcQD54DfgB6tUt11kJeVR2lFNXFhxwhLGoivQoWnnRXjQnzYktJEgPsAPk8K\n4Z4uvdAXrqK6UKKz8hFsClbwyOwPcHa2dAeC0LF5eEDslE9wzF9OX+v7yc50geIPmN89iM/P+xLu\nPYSNiQ3EdPYg0FlNsEJN4IX+/BJ8iszsHKoqqizdgkVdyTiCDKQAo4AC4AQwA7jwu20GAueBGlp+\nACwGBvzhddrE7Jdpo6fxvUc+ds1qbtf64GJjQ5m2mgvVcHNIILtzUhntXY7Z0JmlZ4JYM+Q0eY2O\nbDNO4cSm25HEyIsgXHcmE0RN/pzJtofxtcng8UNDeKpXMXriOV7qTIx3KD/nFuJnY6KTvRtVDY1s\ncsqhyazg9goP1neg2+Bdj9kv0UA6kA3ogfXApD9sc4SWQAc4BvheaQH/pKkxd7BH3QCaWoaXu1Db\n1ExcbhkaKyP93OoorzmGSV9Dtf0MfijTMqP3NxzRTGF/bQHfvCECXRD+KQoFfPnyHE5Ux3Paag63\nhq9nd2kuzQ5zqKozUVV/ni4OtbjZWXEwt4IqXSPDiz0wOpewT9VE7Mgbd3z9SkLdB8j73fP8i5/7\nM/8Cdvydoq6Hx+97jFSVRHWXk4zM6IrOoKDBKDEuJIBD+UYc7SP4IimSacE3YSxYSUWOkr7yPHyy\nltJrwNeEhVm6A0G4sURFSfh0X49fzluMVM8mK9UDReF73BvWi8+SutHJqS+7M41MCAtAlmUkSUFM\nWnfKIg6ToYTFC5ZYugWLUF7BNlczZnITcC8w+FJfXLx48f9/PGLECEaMGHEVL33tykvKSMkr4VyP\nA/SJH4SftTWOLkoMBth8oYxpPaP4ISWZFwaUUttYwccpM/kg5ley9NlsMN9L4nN/9TNMEITrZcWi\nzkRNmcxtNjW8MiGNJw7M4JmobJ7sl8KPuZ7M7NGFzeezGOyjxMbKmhqdgR7xgznV41c8z8nU12mx\ns7e1dBtXJS4ujri4uGv+/isZUBhAyxj5uIvPnwdMwNI/bNcD+P7idumXeB2LjanfPno6P3ROxLvY\nn6EN9thZW5NWXoGfE/hrZMqbSsioh4iQWexL208Pt7PYur9Cdd7L/OvxJMaOli1StyAI8P1WPVs/\n7oq976sUFiwiTxvMoJBJnEr6hig3A9aSE1UGFcnlJkJdHahr0nPIoYYyl1LuyA3juz0bLN3C33I9\nxtRPAqFAIGAFxALb/rCNPy2BPotLB7rFTIu5g532lVg12NK7VkOZromkci2DA33JrNWD7Ml3SVGM\n9ZuMqWgFZRlqYhT3EpbzNvWdvhWBLggWNmWSiiyHrwjKe5/JmlgyLnijLFjO1KAYvkrojVoTSny5\nkZjgQHJq9FQ1GxlcY4/SpGCnppapo2It3cI/6kpC3QA8AuymZYbLBlpmvsy9+AHwEuAMrAHOAMdb\nvdJr8OxDz3NGZabRL5mx+b5YyVZ0cbFlWEAnvk2oJyZsON9lNLF4UAa6huN8nDyHlyfkkOio42Nj\nPz5/s5elWxAEAVi3dBCfGQM45qxhyeTTrEmfTXVzOgsHnWNrZjk3h/dnQ0I10T6OdHfXYGNlxcjc\nQOqD4zmvNPHO4uWWbuEf02EX9KqrrmVy7APs6/kLg04NJcLWDge1hsyKIpokGOhmz4W6DLQGPX4B\ns9mX9isRTmfo5P46FDxJ6K0pPDbP7h+rVxCEv/bqsmqq90Zg8l5GWsFiCps7MzB0Iilpa/G3AX+N\nH+dqm9A1QlgnL7TNDZxt1HKi1yHGxo/khx/WYqOxtnQbV00s6HXRnGkPsC/0FEEXBuKnUtNsMLMn\ns4xgV0eUZi0NBjO7LnRjgOcsTIUrKE3VMFl1JyFFH7FPXs38uSLQBaEtee5xJ7byNr7l65jlcAvp\nSf6o85Yx3nsSm89HoceBmsZGIr082JtRibbJQIBZjW9KNLuDznHXpDmWbuEf0SFDfWrMHWx3LkFT\n4UkPrTVVDTrSqpu5NTyU75JMRPiP5Is0B14ZVIapbj//SX6Al29LJM7Dma/NMutfm4SiQ+4ZQWi/\nlEr4atEMfjBVssszmMVTD7E6819odedYMjiDbzJgYMhIvk3QMSmiM4VaM9WNOnprNai1juxwKGda\nTMdff73DRdfLCxZxTG1E75bPqCIPDCbwsFMzzM+drcn5zI2y50LBDoYHHOaCZiRfVau5uesnZGqf\nwTN1OX0jvqBHm13kQBBubAMGSPgHfENI8ptU1LzAUN91fF9VS6rtbfTodIb0wi3M7SGzMyOHAV6O\nBLpqUJhkRud70eibxim1kY+Xd9y116GDhbq2Tsuec8nkRR5k8PkI3GytCHe3xUYyEV+RzXj/Auob\n8jiW6U83l7mYCt6j5Lw9M21vw6PuOz41P83bL3lbug1BEP7CB68Gsdp8H7bNPzHXfQQZ5wJR5y9n\nYKe72JMSjrZZy2DPQpJr89A3NxDsosHD1obohF5kRv7K+j1xlm7huupQoT5ryr841PUoXROHEGCl\nQa2y4UxxGSi0aORaJNsh/CcllCUD9Cirt/Of1IdYPP0oW326sM9wgVWPPIqdGEoXhDbNyQnemPM8\np5oO873XQBbO+Jk1mXMx1P/GK4PK+CzNE5XTWJr0WuzVJk4UFCMrVATJ1nQ+P4j9ISeZ0oGnOXaY\n2S93jJ7KVo9CNM1qRpa7IAFZtUbGBTmwM7uEkT1HszfjAP1cs7Byns0vGccJtjpDX5clOJYu5Ef3\nH9j/bc/rVp8gCK3HbIb+tx9lZu0cdK7Ps6v4LaqUAQwKGU9N8cdk1HsxNGg8P53ax21dPPk5oxIP\nOzNqWWa3Wwl6JCaWd2LjLxst3cpl3ZCzX95ZvIyDVk2YbKuJKXelwQQ1BiUTugTwTVIzN3cfRWLe\nJkwVVXjZzcdU8D7FCU7c5zQWWbGXd+UJfLFUBLogtBeSBF8vHcB7Vv2p1Zxgvl806fEhWOctI9zx\nQaoLjaQVrmNqzyF8eVbH2C6BmCU1OqNETJkretdCjljp+fo/X1u6lVbX7kO9uamZDUePUxp+hGHJ\nodhZKfF3UNHH25X18VXM7RVEbsmXJKV68mzoEDSVG/k07TFemrWPDb5Dyar9iXmjl+Lvb+lOBEG4\nGqGhML3/SqpKN7Cp0y08P3Mra7IeQa7dzeKISI4mhlFY/jWP9HZnY0IZEa6OBDmpcFVrGJDUjYLu\nh1izaaul22h17X745dax09ke8Ss9LvQnChucbaypb2okqVrPJB8NZQ1JfHqmDx8ONXHUwZ2d6RkE\nSGcZ4/wCDlXv8Kb8Bqk7JqC8kqXNBEFoU5qaoPOE71iseJtm+wf4tvh9am39GBzWn2G1Kdy/15mH\n+57ESR3A7lI9ARoZB2sHKrQNnFXquBB2ikkXBrFl93pLt/KnbqjhlztiprLDOx3X7EhCmlSYzHCh\nvJQ6o5Zh7loadKWsPjuSlWOK+cWjCzmlX1AU78JD3kMpcT7He/Y+fPOyCHRBaK/UavjqhamssdeQ\n7JnDk10iSD8VRnX+Kn5268/741NYeSaGRn0TUU51IDeTUFaCyWyiW7MKx/xQtnfKIXZsx1l/vd2G\n+gfLVrHXToskGRlebY/OYCK9uolwV1vMpnrUKh/eTerNOxMOsdfpZow5b7Pj6Bv8e84OvnObiCLv\nc/r4fMqAP96fSRCEdiUmRiLQ6Qtc0z5ki+0Mnp29gR9OvoNNxivsc7yTN8b/zHvnu2Fr3YVybT3R\nnk7k1RnR6U2MqHDEbFPHflUj2zb+aOlWWkW7HX6JGncH8RGHGHqsD17WDjSaoXsnJ37OzGZMlz58\ndqae+f33kmy3AJe0p/hP4vtM7j+P4U1vo2pcywL9DDJ+eBgnp1YrSRAECykthW4z3uRN9R6slLez\nlUXsSlrFo2HzKeq6goDaV/n8VAwzo9z5KeEEE8MCSK2swAqJvEYtB/sfpV/CcI7vanuzYW6I4Zdx\nY2cQH/krfZMGE2jngKutTBdXZzYmVDA2YihbUnOZHrWbDM2/CbrwLB+nrGRMz8eY0zSPU51L+MK5\nmvfumycCXRA6iE6d4LXYp9lsl8O+Lk3Ms76bocFP8V7GCsISn6bY+iXGd93HzvQkJvYcyIbESvzt\nHXG2VeKvtqVnwhBORBzi1rHtf/56uwv1O0ZP5Wf/JDxT+xKgl7FWWaEzmNmZXsOdvbvwa/ZBIt1P\nY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"text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "T = np.zeros([100,20])\n", "T[0][1:-1] = 100.\n", "T" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "array([[ 0., 100., 100., ..., 100., 100., 0.],\n", " [ 0., 0., 0., ..., 0., 0., 0.],\n", " [ 0., 0., 0., ..., 0., 0., 0.],\n", " ..., \n", " [ 0., 0., 0., ..., 0., 0., 0.],\n", " [ 0., 0., 0., ..., 0., 0., 0.],\n", " [ 0., 0., 0., ..., 0., 0., 0.]])" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "i = 0\n", "while i < len(T)-1:\n", " for j in range(1,len(T[0])-1):\n", " T[i+1][j] = T[i][j] +(1./10)*(T[i][j-1] +T[i][j+1] -2*T[i][j])\n", " i += 1" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hold(True)\n", "for i in range(len(T)):\n", " plt.plot(T[i])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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hG9m4eySiZq4skv6E0LMXz7xHEJOtoYnTaa5ynWOnB1Ht0pL2/scZKNJQ4DuF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mnEIGTG7ORq4Bk6W/j+xVX8zt8JP5vunAk4jHTsfhaE9cCj4S4uJv3Qtq0n+GUqtvX6/KCuSbli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\ntR2W1puEfV2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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "from ipywidgets import StaticInteract, RangeWidget, RadioWidget" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "def update(T,t):\n", " for i in range(0,t):\n", " for j in range(1,len(T[0])-1):\n", " T[i+1][j] = T[i][j] +(1./10)*(T[i][j-1] +T[i][j+1] -2*T[i][j])\n", " return T[t]\n", " \n", "def plot(t):\n", " T = np.zeros([10,10])\n", " for i in range(len(T)):\n", " T[i][-1] = 10\n", " fig, ax = plt.subplots(figsize=(4, 3),\n", " subplot_kw={'axisbg':'#EEEEEE',\n", " 'axisbelow':True})\n", " ax.grid(color='w', linewidth=2, linestyle='solid')\n", " array = update(T,t)\n", " ax.plot(array, lw=5, alpha=0.4, label = t)\n", " ax.legend(loc='upper right')\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 66 }, { "cell_type": "code", "collapsed": false, "input": [ "StaticInteract(plot, t=RangeWidget(1., 4., 1.))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 67, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 67 }, { "cell_type": "code", "collapsed": false, "input": [ "for t in range(len(T)):\n", " plt.hold(True)\n", " array = update(T,t)\n", " plt.plot(array)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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FCTQ/cDsDo4F3635WAXNaq1NCCNFpJCWh/P35b1Uixr0zCA09TkhICM7Ou3E+MRLvUd7s\nqjESbbWC3c6G8oI2rSiB5p85mVv32lX3+wrOELgXLFjgeB8TE0NMTEwzHyeEEB0kLo78mCh6ee0l\ncU0Iv/vdJ8TEXIrR+AV+O4biPd6NpMqTfHDiBIwcSWZJGuP6TDjn5uPj44mPjz+vLunO84/Q0Gbg\nXiALWAB4AE83+F4ppVrQvBBCdAKjRvHZXaPY1rs7Kx97nYiI6dx222TCwn7A5R8f43JbAFNCjpCf\nkICusBCDfQuvX/lPHvzNpGY9TqfTwa/E5pZUlTwCLAb2oVWVvNSCtoQQovPJzYVjx/jYLRWv/OlM\nnWonMXEbERHV+PpOpmJ7BZnDcUxM2tvw1JuGWhK49wFjgEjgBqSqRAhxoYmLo2baVA6UZpCTMJkB\nAw4zcOBAYDceVeNwMjixy6vGMTG5z7tnm1eUgKycFEKIs4uLIymqN5f3jWHzRjfM5lXExFxORUUi\nav9wfCZoC2+iXV0hJ4eVVeY2rygBCdxCCHFmJhNs3syiwFOEOc8gOBiSkmKZMKEfbm5BmLa64jNO\nC9xRubkQGsr23Kw2rygBCdxCCHFmGzagoqP5Nn8T1ozpTJ1qZceOHYSH1+DreykV2yuoGu2Oh15P\nYEoKREaSWZzapnuU1JPALYQQZxIbS+6lkXT37E7S+n4EB6cTGhqKUrvxdp+IKcvE/gE2Lb+dnNwu\ne5TUk8AthBA/pxTExfHDEMUVfWewZw+Ul8cSExNDWVkCTkdGYYg0kGSuckxM2iPafo+SehK4hRDi\n5/bsAW9vFtfspHfFDKKjYevWtUycOBS93oXqRF/HjoDRBgOkpLDLo3u7VJSABG4hhGgqLo7qGdM4\ncOoABTsvIybGQlJSEuHhtfj6Xkrl9kq8x/uwu7KSqJIS8PNjzdG8dqkoAQncQgjRVGwsiZH+XN7v\ncjatc6NHj2QiIiKw2ZLw8ZlERWIFJSNd8HN2psf+/RAZyc6c1HapKAEJ3EII0VheHmRns9g7h/EB\n0ykogBMnYpkyZQplZQl4GMeic9WR7Gt25LcZObLdKkpAArcQQjS2ciXq6qtYmbMW16MzmDoVfvpp\nI5MmjcBqLcGyu8/p/HZ94I6MbLeKEpDALYQQjcXFkTM5Al93X/bFD+Cyy2pJTk5m2DALvr6TqNxu\nxHeC7+nAnZzcrhUlIIFbCCFOq66GTZv4X18T0wfNYP168PXdyciRI7Fad+HreynlieV4jfNmr9FI\nlM0GJSUkml3araIEJHALIcRpmzbBqFF8V7iZUKcZGAyQnr6KKVOmUF6egLfbREzpJgpCnejp4kK3\n1FSIiGDDgYx2qygBCdxCCHFabCzVV1/BvoJ9lO+7jGnTYNOmTVx22RhMpoOozCF4Dfdit7Wq0cRk\ne1aUgARuIYTQ1K2W/CnCh8mXTCZ+vQeTJ1dz4MABwsLseHtHY9xRc3pHwAYTk+1ZUQISuIUQQpOS\nAm5ufG3bx5X9ZrB1K7i4JBAdHY3ZvAs/v0upSKxoXFHSznuU1JPALYQQALGxqJkz+fHwGnqUzWD4\ncNi1a50jv+3jM5mKxAq8xnmzz2hktLs7ZGRgHza8XStKQAK3EEJo4uLInjQML1cv0rYMcuS3L798\nEpWVe3CvGI1SiuweNvq4ueFz6BCEhJB4rLhdK0pAArcQQsDJk5CZyTcBp5g+cDrr1sH48ZVkZmYS\nFqbH0zMU4w47vhN82W00NpqY3JCS1q4VJSCBWwghYNUqmDaNlUfXManXDA4ehJqaeMaNG0dNzQ7H\nwcBnWjHZ3hUlIIFbCCEgNhbT9CvYk78Hy8EYLr0UtmzZ6MhvOyYm6ypKxvj4OCYm27uiBCRwCyEu\ndrW1sGEDG4a6MilkEps3eDry2zExl1Fevg2D2wSqDlThNsqLA1VVjPTy6pA9SupJ4BZCXNzi4yEi\ngh+KtzF90AzWrYMxY8rIzs5m2DAPXF17YT7ghWeoJ+nUMMDDA69Tp8Bux947sN0rSkACtxDiYhcX\nh/rNb1h9aDVhLtOxWCA/fyMTJ06kqmq742DgJvntkSNJzDje7hUlIIFbCHExUwpiYzk4MRRXJ1cO\nbR/CtGkQH7/prPnthhOTHVFRAhK4hRAXs9RU0On4zimLGYNmsH69jiuvrM9vx1BennDmipK6icmO\nqCgBCdxCiItZbCxcey2rD//IVQNmEB8PI0cWkZuby7Bhfto1RUHYa+zo+rmSYTIxosHEZEdUlIAE\nbiHExSwuDtNVU0nKS8KneAohIZCWtpHJkyc78tuVOyrxGe/DfpOJoZ6eeNTWQk4OhIZ2SEUJgHO7\nP1EIITqDwkJITWX9JRbGl45nyyYvRxlg/fmSvr6n89sJ9WmSAwcgNBS7s0uHVJSAjLiFEBer1avh\niitYeXQ9M+rKABsGbsfE5Jny25GRJKYf65CKEpDALYS4WNXtBrj60GouC5zB3r0weHA+p06dIiys\nN2bzSTxchmFMNuI9xrtJKWBHVZSABG4hxMUoOxs2biRzwhD0Oj35+0MZMwZ27NjEZZddhtGYiK/v\nRKr2VeMxyAOzp45D1dWEN5iY7KiKEpDALYS4GP3jH/DII6ws2e4oA/yl/Hay0chwLy/cQDtwoQMr\nSkACtxDiYpOcDOvXw9/+xupDq5k+aPoZ8ttbzrxi8sgR8PMDf/8OqygBCdxCiIvN3LnwzDMY3XTs\nOLGDoa5TOXUKAgKOU1ZWRmhoX0ymDHx8xlCeWI7vBN8mE5N2u+qwihKQwC2EuJjEx0NmJjzwABuP\nbGRs8Fi2b/Zm6lTYvFlbLWk07sDbezSWk2CrsOEx2KPpHiUdWFECLQ/cTsBeILYV+iKEEG1HKXj6\naXj+eXB1ZfXB1WctA2yYJjHabRytqWGYp2eH71FSr6WB+1EgDVCt0BchhGg7336r7b09axZGs5Hv\nMr/jN4OuZf16zjAxWbc/yQQf9hqNjDAYcNHrHamSjqwogZYF7j7ANcDHgK51uiOEEG3AaoW//x1e\neQX0et7c9iZT+0/FnD8UHx9Q6gg1NTUMHTqAysokfH0nahUlDScmS0uhpAQGDuzQihJoWeB+C3gS\nsLdSX4QQom189hkEBsLVV1NgLODtnW/z4tQXG6VJtPz2Xjw9B6NX3lTuqcRn7M+2co2IAL2+QytK\noPmBeyZwCi2/LaNtIUTnZTLBc89po22djufin+OukXfRz6/fWfPbVSlVuPdzx9nXucnEZEdXlEDz\nN5maCPwWLVXiDvgAXwK3N7xowYIFjvcxMTHExMQ083FCCNFM//kPjB8P48aRUZTBivQVZM7OpKYG\ntm2DZcsUjzyyiXnz5lFe/jd69bqdirUV+E7wpcxiId9sJrR+YnLcuFavKImPjyc+Pr5V2jofl3Pm\nqhIlhBAdqrhYqYAApTIylFJK/W7p79TrW19XSim1fr1S48crlZWVpYKCgpTNZlUJCd1UTU2eSr0l\nVeV9nKc2lJSoyXv2aG2NGqVUYqJ6bskq5f/olW3WZc6h2KO16rilqkQI0fm88gpcfz0MHUrC0QSS\nC5KZPXY2QJM0icmUhrOzP25ugY6KEkeaxGKBjAyIiOjwihJoncD9E1raRAghOo/cXPjkE5g/H6UU\nT6x7ghenvoi7szt2u3b4zZm2cTWfMmMpsuAZ6nk6cGdkQEgIeHl1eEUJyMpJIcSFasECuP9+CA5m\nRdoKrHYrsyJmAfDll+DjA5Mmqab7k+yowGecDzq9rsnEJNDhFSUgJ+AIIS5EaWnw/fdw8CBmm5m5\nG+by4bUfotfpMRrhmWfgm28gMzMDNzc3+vXrx44dCfTr9xwFdfXbxRYLxRYLgz08Os0eJfVkxC2E\nuPA88ww89RT4+fF+0vsM6T6Eqf2nAvDqqzBlilZoUj/arq09ht1uwcNjkCO/vbuyktHe3uh1uk6z\nR0k9GXELIS4siYmQlARLllBWU8aLCS+y4fYNABw7Bu++qw2gQQvcM2fOdOS3lU1RmVSJzzgfkiry\ntDSJUqf3KNmc0qF7lNSTEbcQ4sJRv5HUc8+BhwevbnmVmYNnEt4zHIA5c2D2bG2e0W63Ex8f32Dh\nzWRMqSbcgt1w6eZCUmUlY7y9IT8f7HYICuoUFSUggVsIcSFZtQqKiuD22zlefpwP93zIwikLAW0g\nvnmzlkEBSE1NxcfHh0suucSxYrI8sRyf8T4ATScmdbpOUVECEriFEBcKm007JOGll8DZmXmb5vFg\n9IME+wRjt8Pjj2tfeXlpl9fnt83mQmpr8zAYIh357ZNmM0abjf7u7o6JSegcFSUggVsIcaFYsgQM\nBvjd79hXsI8fD/3IU5O04fWyZVpcv/XW05efLgPcio/PBHQ6pyY7AuoaTEx2looSkMAthLgQ1NbC\nvHlayYhOx1Prn2LeZfPwcfPBZNJy22+9Bfq6iJeZmUlCQgJXXXWVY2LSUmzBnG/Ga7jX6TQJOCYm\nO0tFCUjgFkJcCN57D8LD4dJLWXt4LUdKj3B/1P0AvPEGTJgAkydrlyqleOSRR3jmmWfo0aPH6RNv\ndlTgPcYbnVODhTcmE+TkQGhoh59605CUAwohuraKCnj5ZVi/Hruy89S6p3j5ipdxcXLhxAn4979h\n9+7Tl3/zzTfk5+cze/ZsrFYjVVWpeHuP4dj2Anwm+KCUIqmykncGD4aUFAgNBVfXTlNRAjLiFkJ0\ndW+8AdOnQ0QE/035L54untwQdgOgHXrzwAPQr592qdFo5PHHH+edd97BxcWFiortGAwjcXLycOS3\n88xmbEoR4ubWaGKys1SUgIy4hRBdWUEBvPMO7NlDtaWaZzc+y7KblqHT6UhK0nYAzMw8ffkLL7xA\nTEwMl112GYBjfxJlU1TsrCBsfBirKyuaTExCfUXJvR3xp2xCArcQout6/nm4/Xbo25e3t7zKmOAx\nTAyZiFLw2GPa1/VzjOnp6XzyySfs37/fcXt5eQIhIX+lKr0K156uuAa4knTkZxOTN93UqSpKQAK3\nEKKrOnQIvvoKMjIoMhXx+rbX2XbPNgBWrICqKrjzTu3S+gnJZ599lt69ewNgt1uorNyJj88kCr/V\n6rdBW3jzYFCQtloyJaXTVZSA5LiFEF3VvHnasDoggBc3v8gfh/+RId2HUFOjrY785z/ByUm7dPny\n5RQWFvLwww87bjca9+DuPgAXFz9Hfrt+YjLa2xuOHAE/P/D371QVJSAjbiFEV7RnD/z0E3z8MYdL\nDrMoZRFpD6cBWr32yJHaDoAAlZWV/O1vf2Pp0qU4O58OeWVl2v4kABXbKwieHcyx2lpcdDqCfjYx\n2ZkqSkACtxCiK5ozB559Fry8eGb1Mzw2/jF6evWkoADefBO2bz996fPPP88VV1zB5PpC7jrl5Qn0\n7DkLS5mF2mO1eEV4sba0uHF+u25iMrM4lXF9JrTXn+5XSapECNG1bNigpTHuu4+dJ3aScCyBx8c/\nDmix/K67YNAg7dK0tDQ+++wzXn311UZNGI37qKjYRrduV1K5sxJDlAG9s/6MKyah8+xRUk8CtxCi\n61BKG22/8ALK2Zkn1z3JwpiFeLl6kZwMcXFa8NYuVTz88MPMnz+fXr16OZqw2y1kZNzFgAGv4Ooa\n4MhvA40Ddyc79aYhCdxCiK5jxQqt2uP3vycuK45iUzF3jrwTpbTd/xYsAF9f7dJly5ZRVlbGn//8\n50ZNHD/+Oi4uAfTufTeg5bd9J/g6JiajvL2htBRKSmDgwE5XUQKS4xZCdBUWi7YU8t13sWLnqfVP\n8eZVb+Kkd+K776CwEO6tWx9TUVHBE088wfLlyxtNSFZVpXH8+D+Jjt6NTqdD2RUVOyoI/TyU7Joa\nvJ2c6OXqCtu2QUQE6PWdrqIEZMQthOgqPvlEW7s+bRqf7v2UQEMgMwbNoLYWnnhCqyapj9HPPfcc\nV199NRMnTnTcrpSNjIy76d//edzd+wJgyjLh7OeMay/XpvntuonJzlZRAjLiFkJ0BVVVsHAhxMZi\nNBtZEL+A2Fmx6HQ6/vMfbR+oadO0Sw8cOMCiRYs4cOBAoyZyc/+Fk5MHQUEPOD77xfz2+PFA56so\nARlxCyG6gn//Gy69FKKieHPbm0zpP4WooCgKC7UtuN94Q7usfkJywYIF9OzZ03G7yZTF0aMvM3To\nx+h0p8PFQLcjAAAgAElEQVRe/Yk3QJepKAEZcQshOrviYm0ZZGIiBcYC3t75Nkn3JQHwj3/ALbdo\nI26AJUuWUFlZyQMPnB5VK2UnM/Me+vZ9Fg+PgY2arkisIPDeQOxKsad+YtJigYwMiIjolBUlIIFb\nCNHZvfQS/OEPMHgwC+L+zJ2Rd9K/W38OHIBvvtFiLEB5eTlPPvkk//vf/3CqX+sOnDjxLkrZ6dPn\nkUbNWiutVGdXY4g0cLC6mu4uLnR3cYH9+7Vj4L28SEw92ukqSkACtxCiMzt2DD7/HFJTSS9M55v0\nb8icnYlS8Ne/atuV+Ptrly5YsIBrrrmG8XW5aYDq6iPk5Cxg1Kgt6HROjZqu3FmJYaQBvauepNIz\nT0x2xooSkMAthOjM5s+HBx+E3r2Zs+wBnp70NP4e/qxcCcePQ32JdkpKCkuWLCE1NdVxq1KKzMx7\nueSSp/DyCm3SdHliOb4TtKLvMy28gc5ZUQIyOSmE6KwOHIBVq+DJJ9l8dDP7CvYxe+xsLBb429+0\nPUlcXE5PSC5cuJCAgADH7fn5H2GzVdKnz1/P2PxZK0oaTEx2plNvGpLALYTonP7+d5gzB+Xjw5Pr\nnuTFqS/i7uzOe+9B374wY4Z22X//+19qamq4997Tp9PU1BznyJFnGDr0U/T6pomF0g2lGPca8Zvi\nh00pko1GRhsM2pL6JqfedL7ALakSIUTns2WLFkC//prlacux2q3MiphFcTG88AJs2gQ6HZSVlfH0\n00/z/fffOyYklVJkZd1PcPBfMBjCmzRdm1dL+m3phC0Kw8XfhdSqKgJdXfFzcYG8PG1JfVBQp60o\nAQncQojOpn4jqYULMbvombthLh9d+xF6nZ7nnoObboLhdYPg+fPnc+211zJmzBjH7SdPfonZXMAl\nl8xp0rTdaidtVhpBDwbR7QqtUuSMKyZ1OhLTOmdFCUjgFkJ0NrGxUF4Ot97Ke7v+j6HdhzK1/1TS\n02HpUkjTzktg3759LFu2jLT6D4Da2jwOH36SESPWoNe7NGn6yLNH0Hvo6ftMX8dnSZWVjDnDxGRn\nrSgByXELIToTm03Lbb/8MmWWSl7a8hKvTXsN0PYjmTsXevQAu93OQw89xAsvvED37t2B+hTJgwQF\nPYC396gmTRfFFXFqySnCFoWh0+scn59tYrKzVpSABG4hRGeyaBF06wa/+Q2vbnmVmYNnEt4znDVr\nICsLZs/WLvvyyy+xWq3cc889jltPnVpGdfVh+vZ9tkmz1TnVZN6TybBlw3Dt4er43GK3k2I0Mspg\n0D742ak3nbGiBJqfKgkBvgR6Agr4EHi7tTolhLgI1dRoa9iXLeN4RS4f7vmQlD+nYLVqi23eeANc\nXaG0tJQ5c+YQFxeHXq+NPc3mUxw69BgREbHo9W6NmrXX2kn7QxqXPH0JvhN9G32XWlVFP3d3DM7O\nYDJBTo5j/bxWUXIvnVFzA7cFeBxIBgzAbmAdkN5K/RJCXGzeeQdGj4aJE5n33Z08GP0gwT7BvPce\n9OoFv/2tdtm8efO4/vrriY6Odtx68OBseve+Ax+fsU2aPfzEYdz6uNHn8T5NvmuUJjlwQAvarq6d\nuqIEmh+4C+peAEa0gB2EBG4hRHOUl2vb/MXHs69gHz8e+pGsR7IoK9NOtVm7Viv/27NnD8uXLyc9\n/XSoKSz8BqNxH6GhXzRp9tRXpyheXUxUUhQ6na7J92dbMdkZT71pqDVy3P2AUcCOVmhLCHExeu01\nmDkThg3jqfVP8exlz+Lj5sPzz2sj7chIbULy4Ycf5qWXXsK/boMSi6WYgwcfITT0U5ycPBo1aco0\ncXD2QYZ/PRwXv6YVJnCWUkA6d0UJtLwc0ACsAB5FG3k3smDBAsf7mJgYYmJiWvg4IcQFJz8f3n8f\nkpNZe3gtR0qP8EDUAxw8CF98AfXbj3z++ecA3HXXXY5bDx16jB49/oCv76RGTdpMNlJvSqX/C/3x\nHu19xsfW2u2kmUxE1k9MJidrReK0b0VJfHw88fHx7fIsABdgDfDYWb5XQgjxqx54QKknnlBWm1VF\nvhepVqSuUEop9bvfKfXKK9olxcXFqlevXmr37t2O2woLY1Vi4gBltRqbNJl+Z7pKvSVV2e32sz52\nV3m5GrFzp/aLzaaUt7dSxcVKKaUG/e1OdctbH7TSH/D8oBV8/KLmjrh1wCdAGvCvZrYhhLjYZWVp\nm2pnZrJ4/2I8XTy5IewGNm6ElBRYtky77Nlnn+Wmm25i9OjRAFgsZWRl/ZmwsEU4OXk1ajL/s3wq\ndlQweufoM+a16zVKkxw5An5+jj1iO3NFCTQ/cE8CbgVSgL11n80FfmyNTgkhLhLPPgt//SvV3h48\nu/FZlt64FLtdx+OPa2lvd3fYvXs33377baMVkocP/42AgGvp1m1Ko+aMKUayn8pm5E8jcTb8cng7\n28RkZ68ogeYH7i3I4h0hREvs2gXbtsHnn/P2jreJDopm0iWT+Phj8PWFG288vULy5Zdfpls3rcKj\npGQtpaXrGTOm8WHA1gorqTelMuhfg/Aa5nWmJzoUms2sLS3lweBg7YMGE5OdvaIEZK8SIURHqN9I\n6h//oAgTr297nW33bKOiQjvVJi5OK//75JNPcXZ25vbbbwfAaq0kM/N+hg79EGdn7wbNKTLvzcRv\nqh+9bun1i48utli4ct8+bu/VS9vKFbQRd90zOntFCUjgFkJ0hHXrIDcX7r6bF9Y/wR+H/5Eh3Ycw\ndy5cfTVERUFxcTHPPPMMa9ascayQzM5+mm7drsDf/+pGzZ34vxNUH6pm1Lame5Q0VGqxMG3fPqb7\n+/N8//6nc+BdZI+SehK4hRDty27XRtsvvsjhiqP8N+W/pD2cxpEj8OGH2lm9AM888wx//OMfGVmX\nwigt3URR0Q9NUiQVOyo4+vxRRieOxsnd6edPcyi3Wrk6JYUYPz9eGTDgdNAuLYWSEhionQCfWZzK\nuD4TWv/P3YokcAsh2tfXX2tnjt14I3//5k88Nv4xenr15PdPwWOPQVAQ7Nq1i++//96xQtJmqyIz\n816GDHkfFxc/R1OWYgupf0xlyAdD8BjocbYnUmG1Mj0lhfE+Prw5cGDjapN9+yAiAupG9Z29ogQk\ncAsh2pPZDM88Ax9/zI4TO9lybAuf/vZTEhJgxw5twY3NZuOhhx7i1Vdfxc9PC9LZ2c/g4zOBgICZ\njqaUXZF+ezo9buxBj+t7nPWRRquVa1JSGGkw8O9Bg5qWCDaYmOwKFSUggVsI0Z4++ggGD0bFxPDU\nFzEsjFmIh7MXjz+ubVXi6QkffPAx7u7u3HbbbQCUl2+lsPCrJimSY68dw1pmZcArA876uCqbjZn7\n9xPm5cU7gwefua47ORnGjwe6RkUJSOAWQrQXo1E7MHLVKmKzYik2FXPHyDtYtEjLnPzpT1BUVMS8\nefNYv349Op0Om62ajIy7GTz4/3Bx6e5oquynMnL/lUtUUhR6lzNXJlfbbPx2/376ubvzwZAh6M+2\nGGffPnjgAaBrVJSABG4hRHt56y2YOhVrZARPv3czb0x7gxqTM3//u7Z4UqeDuXPncssttzBixAgA\ncnIWYDBE0qPHjY5magtqSbs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"text": [ "" ] } ], "prompt_number": 63 }, { "cell_type": "code", "collapsed": false, "input": [ "T = np.zeros([10,10])\n", "T[0][1:-1] = 100" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "op = np.zeros([8,8])\n", "a = 1./2\n", "for i in range(len(op)):\n", " for j in range(len(op[0])):\n", " if i==j:\n", " op[i][j] = 1+2*a\n", " elif abs(i-j) == 1:\n", " op[i][j] = -a" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "op" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "array([[ 2. , -0.5, 0. , 0. , 0. , 0. , 0. , 0. ],\n", " [-0.5, 2. , -0.5, 0. , 0. , 0. , 0. , 0. ],\n", " [ 0. , -0.5, 2. , -0.5, 0. , 0. , 0. , 0. ],\n", " [ 0. , 0. , -0.5, 2. , -0.5, 0. , 0. , 0. ],\n", " [ 0. , 0. , 0. , -0.5, 2. , -0.5, 0. , 0. ],\n", " [ 0. , 0. , 0. , 0. , -0.5, 2. , -0.5, 0. ],\n", " [ 0. , 0. , 0. , 0. , 0. , -0.5, 2. , -0.5],\n", " [ 0. , 0. , 0. , 0. , 0. , 0. , -0.5, 2. ]])" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "opinv = np.linalg.inv(op)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "len(opinv)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 35, "text": [ "8" ] } ], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "for i in range(1,len(T)):\n", " T[i][1:-1] = np.dot(opinv,T[i-1][1:-1])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hold(True)\n", "for i in range(len(T)):\n", " plt.plot(T[i])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KFOD48bqeBcBxHKadnoYpJ6ZAw2ksM0hWFvDee0C7dsCZMwDHGdzFgaws2IvFOJufb/bp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L2SiePt2qPj/QTEKL3enIAeEgJYdfbC1LTGOD15MqbfqI7isadx/HgXyLucxP4bKpht3gpYWVXU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\n", "text": [ "" ] } ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "len(T[0][1:-1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "8" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "I = np.identity(8)\n", "B = np.zeros([8,8])\n", "a = 1./2\n", "for i in range(len(B)):\n", " for j in range(len(B[0])):\n", " if i==j:\n", " B[i][j] = 2\n", " elif abs(i-j) == 1:\n", " B[i][j] = -1" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "op = np.dot(np.linalg.inv(2*I+a*B),2*I-a*B)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ "for i in range(1,len(T)):\n", " T[i][1:-1] = np.dot(opinv,T[i-1][1:-1])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hold(True)\n", "for i in range(len(T)):\n", " plt.plot(T[i])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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RDxENI6IyIjpDRNuJ6Fciep6IconIiYhuEdGD5XKq5lZ7sESVIlQFNlSqKunv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\n", "text": [ "" ] } ], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d import Axes3D" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax = plt.axes(projection='3d')\n", "#ax.scatter(x,y,T)\n", "ax.plot_surface(x,y,T)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 76, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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sxLMn3n77DazWv+Px1GO3F1FVNYjx40czevRIhg4dKtsTqaCMkpSIjmmXXTaD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\n+eTMAfFzn88XU+hSfV/JzBCLVnkVOVTS5XKFCZ1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xk/q/dUet69avm7tjl5K5uWJXKBT4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\n", "text": [ "" ] } ], "prompt_number": 76 }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.arange(len(T))\n", "y = np.arange(len(T))\n", "x,y = np.meshgrid(x,y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 60 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }