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@wackywendell
Last active August 29, 2015 14:08
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admath and arrays
{
"metadata": {
"name": "",
"signature": "sha256:d6c1300ee2b30f10905ed4d219e15548afa126b2112d2ed0d6e8f4c157724905"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from ad import adnumber\n",
"from ad.admath import *"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def f(x):\n",
" return x**2*exp(-x**2)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x = adnumber(linspace(0,4,200))\n",
"y = f(x)\n",
"plot(x, y)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": [
"[<matplotlib.lines.Line2D at 0x7f066265e390>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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8psFAShx6qCIbta9VUn/dTI9pAACAbzQ1GBJcS4sa77o7qBOHHSarqOhmDxQz\nq6hQ1Wntt/ClH3lELe+84y8QAADwiqYGQ0L66WeUrasL6sqjeODmUFd12jSpPLe4onNKzrzBbyAA\nAOANTQ2GhPBVmsjo0aqYtLvHNBgMZWPGKHHYl4M6edPNyjY0eEwEAAB8oalB0XMtLUrde29QJw49\nRFZW5jERBkvVV74SvHdr1qjxtvn+wgAAAG9oalD00s88u97Us8Thh3tMg8FUscvOKt9++6Cuv/56\nOddxJXkAADDU0dSg6K039WzDDZl6VkLMTFVnnRnULW+8qabnnvOYCAAA+EBTg6LG1DNUHnmkIqNG\nBXX9tdf7CwMAALygqUFRa3puobIrVwZ1/LDDPKaBD5ZIqPLUU4I6dd99yixb3s0eAABgqKGpQVFr\nvOuu4H2kpkaxPSZ5TANfqs44XYrk/jjLZJScPdtvIAAAMKhoalC0XCajxnvvC+r4oYfKolGPieBL\ndNNNFT/owKBOzpkrl057TAQAAAYTTQ2KVtNzC5X9+OOgThzO1LNSFl7eOfvJJ+stIAEAAIY2mhoU\nrU9NPdtzD49p4Ftsr8mKfvGLQV1/3fX+wgAAgEFFU4Oi5LJZNd4Xmnp2yMFMPStxZqaqr7Qv79z8\n8stqeuUVj4kAAMBgoalBUWp++RVlP1oR1IkvH+oxDQpF5fHHyaqrg7r+upke0wAAgMFCU4OiFL5K\nY8OGKTZ5ssc0KBSR6mpVnnRiUDfeeacyoSW/AQDA0ERTg6LjnFPjPe0P3Izvv5+sosJjIhSSqjPb\np6CpqUkNN93sLwwAABgUNDUoOi3//Kcy77wT1IlDmXqGduVbfl6xKVOCOjl7tlw26zERAAAYaDQ1\nKDrhZ9MoFlNs36nesqAwVZ1+WvA+s/RdpZ980mMaAAAw0GhqUHRS990fvI/vPUWRqiqPaVCI4gcd\nqMiYMUGdvGGWxzQAAGCg0dSgqLS8956aX389qOOHHuIxDQqVlZer6pSTgzr14EPKLFvuMREAABhI\nNDUoKuGrNIpEFD/wQH9hUNAqp50qRXJ/xGUySs6b5zcQAAAYMDQ1KCrhpZwrJk1SWU2NxzQoZNFx\n4xTff7+gTs6ZK9fS4jERAAAYKDQ1KBqZTz5R08LngzrB1DP0oOr004P32Q8/VOqhhzymAQAAA4Wm\nBkUj9eBDUmhp3vjBB3tMg2IQm7qPyjbdNKiTs2Z7TAMAAAYKTQ2KRur+9vtpynfcQdFxm3hMg2Jg\nZWWqmnaITLQjAAAgAElEQVRqUKcfe1wtS5d6TAQAAAYCTQ2KQraxUanQs0biBx3kMQ2KSeUpJ0vR\naFAn58z1mAYAAAwEmhoUhfSTT0qpdFAnaGrQS2WjR693/1XDjfPk0ulu9gAAAMWGpgZFIfXAg8H7\nsk03VXTbbTymQbFZb8GAujo13nuvxzQAAKC/0dSg4LlstnWRgJz4QQfKzDwmQrGp2HMPRbfcMqhZ\nMAAAgKGFpgYFr/nlV5T95JOg5oGb6CszU9XppwV107PPqfmf//SYCAAA9CeaGhS8xgceCN7bsGGK\nTdrdYxoUq8rjj5PisaBOzp7jMQ0AAOhPNDUoeOH7aeL7TpVVVHhMg2IVGTVKlUccEdQNt/5N2YYG\nj4kAAEB/oalBQWv5z3/U8q9/BXX8IKaeIX/hBQPc2rVqvONOj2kAAEB/oalBQQsvEKCyMsX33ddf\nGBS98olfUnltbVAn5zAFDQCAoYCmBgWtMTT1rGL33RUZOdJjGhQ7M1PladOCuvnlV9S8aLHHRAAA\noD/Q1KBgZVetUtPChUGdYOoZ+kHlMUfLEomgTs6d6zENAADoDzQ1KFipxx6TMpmgjh94gL8wGDIi\nw4crcWRowYDb5ivb2OgxEQAA+KxoalCwUg8/EryPfvGLio4f7y8MhpSqae1T0NzatWr8+10e0wAA\ngM+KpgYFybW0KPXoo0EdP2B/j2kw1JRP/JKi22wd1A1zb/SYBgAAfFY0NShITS+9JLd6TVDT1KA/\nmdl6V2uann9ezaGlwwEAQHGhqUFBSj30cPDeRoxQxS67eEyDoajy2GOkeCyok3NYMAAAgGJFU4OC\nlHq4vamJT91HFo16TIOhKDJypBKHHR7UDbf+TS6V8pgIAADki6YGBafl/ffV8uY/gzq+P1PPMDCq\npp0SvHerV6vx3ns9pgEAAPmiqUHBCU89UySi2L5TvWXB0Fax226KfuELQZ2cw4IBAAAUI5oaFJzw\n1LOKiRNVVlPjMQ2GMjNT5antV2uannlGzUve9pgIAADkI6+mxsziZnapmS0zswYze87MDurFfnuZ\n2V/M7E0zS5rZv83sajPbuJNt7zKzbCc/D+aTGcUh29Cg9FNPBzWrnmGgVZ5wvFRREdQNN3K1BgCA\nYpPvlZrZkr4r6XZJP5JUIeluM9u7h/2ulHScpIWSfivpBUlnSXrZzMZ2sv0yST/u8HNtnplRBNIL\nnpLS6aDmfhoMtLKaGiUOPSSoG26+Ra6pyWMiAADQV31eUsrMJks6VtIvnHM/z41dLelNSb+RtHs3\nu/9U0t3OueC3VjM7Va1N0oWSftBh+2XOuV/2NSOKV+rhR4L3ZZtsoui223hMg1JRdeqparzjTklS\nduVKpe5/QIkjDu9hLwAAUCjyuVJzYu71irYB51y9pJmSdjWzzbva0Tl3W7ihyZknKS1p6052MTMb\nbmabmhlr+g5xzjmlw0s577+fzMxjIpSKij33UNn48UGdnMszawAAKCb5NDUTJb3rnFvRYXxh7nWn\nPh5vuKRySR918tkOkuokvSupzsxmmFllH4+PItHyz38qs3x5UMeYeoZBYpGIqkILBqSfeFItS5d6\nTAQAAPoin6ZmrKTlnYy3jW3Sx+P9Vy7H7E6ON0PSOZIuUGvTdL6kO/p4fBSJ1KOPtRcVFYpN3tNb\nFpSeyhNPkEIPeU3eOM9jGgAA0Bf5NDUJtU4X6ygV+rxXzOwQtd5H81fn3ILwZ865c5xz33HOXeec\nu8I5d4CkWZL2N7OD88iNApcONTWxSbsrUslFOQyestGjFT+ofRHHhptvlmtu9pgIAAD0Vj73qTRK\ninUyHg993iMzmyjpZklPSPpGL899iaTTJU2VdH93G9bV1am2trbTz6ZPn67p06f38pQYDNn6eqUX\nLgzq2NSp/sKgZFVNO0Wpe+6RJGU/WqHUww8rccghPewFAADazJgxQzNmzPjU+JIlSyRp1ECdN5+m\nZrmkz3Uy3rYk87KeDmBmW0u6T9K/JB3pnOvtX4e+n3vt8QupqanRokWLenlY+JZ++mkp9Lfi8f32\n9ZgGpSq2994q23RTZd5v/aMmOedGmhoAAPqgq4sHEyZM0OLFi1cN1HnzmX72oqTNzGxMh/Hdcq+v\ndLdzbnW0ByWtlHRIbuW03mpbIa3jIgUoculHHg3el40bp+gXvuAxDUqVRSKqPOXkoE4/+qhaPvjA\nYyIAANAb+TQ1t+Zez28bMLNqSWdIesE5tzQ3toWZTTKz8tB2G0t6SFJW0oHOuU86O4GZjerYNJlZ\nXNKvJDlJ9+aRGwXKOafUY48HdWzffVnKGd5UnXSiVFbWWjinhnk3+Q0EAAB61OfpZ865BWY2X9JP\nzGxDSW9JOlPSRpJOC216saRzJW2q9ilpt0vaUq0rnX2lwy+uHzjnrsu931rSo2Z2n6R/q/V+nUMl\nfV7STOfcM33NjcLVsmSJMu+9F9TxfffxmAalrmzsWMX330+pBx6UJDXcOE/DLrpQ1tboAACAgpPv\nAy2nSfqf3OsoSa9JOsI593hoG5f7Cds8N3aaPu0FSW1NzVK1PpRzT0kHSjJJb0i6wDl3RSf7ooiF\nVz1TNKrY5MnesgCSVDVtWtDUZJYvV/rRxxQ/gOcmAQBQqPJqapxzKUnfy/10tc35Ck1Ry42N7WLz\njvsul3RWPtlQfFKPtt9PU7HrrooMG+YxDSDF9p2qsrFjg4fBJufOpakBAKCA5XNPDdBvso2NSj/7\nXFDH953qLwyQY2Vl6y0YkHroYWU+/NBjIgAA0B2aGnjV9PQzUrr9Wa7xfVnKGYWh8uSTpLb7/jIZ\nNdx0s99AAACgSzQ18Cr12GPB+8jGGym67Tb+wgAh0XHjFAtdOUzeOE8um/UXCAAAdImmBl6lQs+n\niU+dylLOKChV004N3mfee0/pBQs8pgEAAF2hqYE3Lf/5jzLvvBPU8alTvWUBOhPff39FxrQ/Mqth\nzo0e0wAAgK7Q1MCb8AM3VVam2N5T/IUBOmHl5ao88YSgbrz/fmVWrvSYCAAAdIamBt6kQs+nqZg4\nUZERI/yFAbpQFVoFTc3NarjlFn9hAABAp2hq4IVLpdT01FNBzVLOKFTR8ePXeyBsw9x5cq7jc4UB\nAIBPNDXwIr1woVwqFdQxmhoUsMpppwTvW5YsUdNzz3WzNQAAGGw0NfAivOpZZMMNVb7ddh7TAN1L\nHHKIIqNGBXVy7jyPaQAAQEc0NfAiHVokILbPPrII/ymicFkspsTxxwV14913Kbt6tcdEAAAgjN8k\nMeha3n9fLW+9FdTxfffxmAbonapT26egKZVWw/zb/YUBAADroanBoEuHVj2TmWL70NSg8JVvtZUq\ndtklqJNz5rJgAAAABYKmBoMu9Wj7/TTlO+2ospoaj2mA3qsMXa1peeMNNb/yisc0AACgDU0NBpVr\nalJ6QXgp5309pgH6JnHE4bJhw4I6OfdGj2kAAEAbmhoMqqYXXpRLJoM6PnWqvzBAH0UqK1V5zNFB\n3Xj7HcrW13tMBAAAJJoaDLLU4+2rntnIkSrfaUePaYC+q5x2avDeNTSo8c6/e0wDAAAkmhoMsvTj\nTwTv41P2kpWVeUwD9F3FdtupfIftgzo5d67HNAAAQKKpwSDKrFyp5n/8I6hZ9QzFqurU9qs1zS+/\noubFb3hMAwAAaGowaNILFqxXx/ae4ikJ8Nkkjj5KlkgENVdrAADwi6YGgyY89Sy65ZaKjhvnMQ2Q\nv8iwYUoceURQN9w2X66x0WMiAABKG00NBoVzTuknngzq2D57e0wDfHaVoSlobs0aNd59j8c0AACU\nNpoaDIqWf/9bmeXLgzq2N00NilvFzhMV3XqroGYKGgAA/tDUYFCEp54pGlVsj0n+wgD9wMzWWzCg\n6bmFav73Eo+JAAAoXTQ1GBSp0NSzil12VqS62mMaoH9UHnesFIsFdcONN3pMAwBA6aKpwYBzTU1q\neuaZoI4z9QxDRGTUKCW+fGhQN9xyq1xTk8dEAACUJpoaDLimF1+Ua2gIapZyxlBSdcopwfvsypVK\n3f+AxzQAAJQmmhoMuFTofhobOULlO+zgMQ3Qvyr23ENl48cHNQsGAAAw+GhqMODST7Q3NfG9psjK\nyjymAfpX64IB7Vdr0k88qZZ33/WYCACA0kNTgwGVqVul5tf+EdRMPcNQVHniCVI0GtQN827ymAYA\ngNJDU4MBlV6wQHIuqGlqMBSVjR6t+EEHBnXyppvkWlo8JgIAoLTQ1GBAhaeelW2xhaKf+5zHNMDA\nCU9By374kVKPPOoxDQAApYWmBgPGOad06Pk08X1YyhlDV2zvvVU2blxQN7BgAAAAg4amBgOmZcnb\nynzwQVDHaGowhFlZmSpPPimoUw8/oszy5R4TAQBQOmhqMGDST7ZfpVFZmWJ77OEvDDAIKk86SYrk\n/ljNZpW86Wa/gQAAKBE0NRgw6ccfD95X7DxRkWHDPKYBBl503CaKTZ0a1A3zbpLLZv0FAgCgRNDU\nYEC45maln34mqGN7M/UMpaFqWvuCAZn33mtdARAAAAwomhoMiKaXXpJLJoM6TlODEhHff39FxowJ\n6oY5N3pMAwBAaaCpwYBIP96+lLONGKHyHXfwmAYYPFZe3vowzpzG++9XZuVKj4kAABj6aGowIFKh\npZxjkyfLQk9bB4a6qlNObi+am9Vwyy3+wgAAUAJoatDvsqtWqfnVV4M6vvcUj2mAwRcdP16xyZOD\numHuPDnnPCYCAGBoo6lBv0s/9bQUWvGJ59OgFFWGFgxoWbJETc895zENAABDG00N+l146lnZ+PGK\nbraZxzSAH4lDDlFk1KigTrJgAAAAA4amBv0u/UT7IgFMPUOpslhMieOPC+rGe+5WdvVqj4kAABi6\naGrQr1qWLlXmvfeCOkZTgxJWNe3U9iKVVsP82/2FAQBgCKOpQb9KPxl60GAkotiee/oLA3hW/sUv\nqmLXXYM6OWcuCwYAADAA8mpqzCxuZpea2TIzazCz58zsoF7st5eZ/cXM3jSzpJn928yuNrONu9h+\nipktyG37oZldbmZV+WTG4Ag3NeU77qjIiBEe0wD+VZ4aWjDgjTfU/MorHtMAADA05XulZrak70q6\nXdKPJFVIutvMelrm6kpJx0laKOm3kl6QdJakl81sbHhDM9tZ0oOSaiT9VNI8SV+XND/PzBhgLptV\nakF7UxPba3I3WwOlIXH4YbJhw4I6OZcFAwAA6G99bmrMbLKkYyX9j3PuG865yyRNkfSRpN/0sPtP\nJY1zzp3hnPuZc+5kSWdI2kjShR22/bWkeklTnHO/c85dJOliSQeY2aF9zY2B17xokVzoRuj4FO6n\nASKVlao85uigbrz9DmXr6z0mAgBg6MnnSs2Judcr2gacc/WSZkra1cw272pH59xtzrl0h+F5ktKS\ntm4bMLMNJO0r6Sbn3MrQtldJag5lQAEJTz2zeFwVO0/0mAYoHJWhBQNcQ4Ma77jTYxoAAIaefJqa\niZLedc6t6DC+MPe6Ux+PN1xSuVqv9LTZKZft+fCGzrmkpEWSvtTHc2AQpJ9sfz5Nxe67yeJxj2mA\nwlGx3XYq32H7oE7OmeMxDQAAQ08+Tc1YScs7GW8b26SPx/uvXI7ZHc4RPmbYh3mcAwPMpVJKL1wY\n1DGmngHrqZo2LXjf/OpranrtNY9pAAAYWvJpahJqnS7WUSr0ea+Y2SGSfiDpr8650FrAwTG6Og+X\nAApM0wsvSqn2f12xKXt5TAMUnsTRR8mqq4M6OZurNQAA9JdoHvs0Sop1Mh4Pfd4jM5so6WZJT0j6\nRifnUDfn6fEcdXV1qq2t7fSz6dOna/r06b2JiV4Kr3oWGTVK5V1890CpilRXq/KYo5Wc1XpRunH+\n7Rrxkx8rEloZDQCAYjdjxgzNmDHjU+NLliyRpFEDdd58mprlkj7XyXjblLFlPR3AzLaWdJ+kf0k6\n0jnX3Mk5JKmz59eM7c05ampqtGjRop42Qz9Jd1jK2SI81xXoqPK004KmxjU0qOG2+ao+8wzPqQAA\n6D9dXTyYMGGCFi9evGqgzpvPb54vStrMzMZ0GN8t99rtk+Vyq6M9KGmlpENyK6d19KqkbOiYbftW\nSart6RwYXNnVq9X8avv9AdxPA3SuYrsJKv9S+zonDbPnyDnnMREAAENDPk3NrbnX89sGzKxarc+b\necE5tzQ3toWZTTKz8tB2G0t6SK0Ny4HOuU86O0Fu/DFJJ5lZTeijr6l1pbRb8siNAZJ+5hkpmw1q\nHroJdK3q9NCCAYsXq/ll/o4GAIDPqs/Tz5xzC8xsvqSfmNmGkt6SdKZaH6B5WmjTiyWdK2lTtU8X\nu13Slmpd6ewrZhY+9AfOuetC9Q8kLZD0hJldo9YpbxdIetg5d09fc2PghJ9PU7bZZopu3uWjioCS\nlzjySK35+S/k1q6VJCVnzVLFRFapBwDgs8j3xodpki6TdJykSyS1SDrCOfd4aBuX+wnbPDd2mqRf\ndPg5P7yhc+4FSQdKWiPpl7lzXi3pmDwzY4CEmxpWPQO6F0kkVHncsUHdeOfflV2zxmMiAACKX15N\njXMu5Zz7nnNuE+dcwjm3u3Pu/g7bnO+cK3POLQuNjc2NRTr52a2T8zzpnJvsnKt0zm3snLugi3tw\n4EnLBx+o5e23gzq2F00N0JOq09qnoLlUSg1/u81jGgAAih9LVOEzCa96JnE/DdAb5dtso4pddw3q\n5KzZLBgAAMBnQFODzyS94Kngffl226mspqabrQG0CV+tafnXv9T0/PMe0wAAUNxoapA35xz30wB5\nShz2ZdnIEUGdnDXHYxoAAIobTQ3y1vLPfyr78cdBTVMD9J4lEqo84YSgbrz7bmXqBuyZZAAADGk0\nNchb+CqNKipUsdun1noA0I3wFDSl02q4hUdwAQCQD5oa5C0Vamoqdt5ZkUTCYxqg+JR/4Quq2GNS\nUDfMnsOCAQAA5IGmBnlxzc1qeuaZoI4z9QzIS9Xp7c8sbnn7bTU9/Uw3WwMAgM7Q1CAvTS+/LNfQ\nENSxKVM8pgGKV+KQQxQJrRqYnD3bYxoAAIoTTQ3yEr6fxoYPV/kO23tMAxQvi8VUedKJQd14733K\nhBbgAAAAPaOpQV7CD92M7bmHLBr1mAYoblXTTm0vmpvVcOM8f2EAAChCNDXos2x9vZpeejmoWcoZ\n+GyiW2yh2NR9gjo5a7ZcJuMxEQAAxYWmBn3W9OxzUktLUMf24n4a4LOqOvOM4H1m2TKlHn7YYxoA\nAIoLTQ36LPXkk8H7srFjFd3y8x7TAENDfP/9VTZuXFAnZ97gMQ0AAMWFpgZ9tt79NFP2kpl5TAMM\nDVZWtt7DONOPPa6Wt//jMREAAMWDpgZ9klmxQi1v/jOoY3txPw3QXypPPUUqLw/q5KxZHtMAAFA8\naGrQJ+kFT61Xx/aa7CkJMPSUbbihEocfFtTJm29WtrHRYyIAAIoDTQ36JB26nya69VYq22gjj2mA\noSe8YIBbvUaNd97pMQ0AAMWBpga95pxb70oNq54B/a9il10U3XbboGbBAAAAekZTg15refs/yixb\nFtQ8nwbof2am6tDVmuZXX1PTK694TAQAQOGjqUGvhaeeqaxMsT0m+QsDDGGJY4+RVVcHNVdrAADo\nHk0Nei28lHPFxImKhH7pAtB/IlVVqjzh+KBuuPNOZepWeUwEAEBho6lBr7hMRumnng5qpp4BA6vq\njNPbi1RaDTff5C8MAAAFjqYGvdL82mtya9cGNU0NMLDKt9pKFXvuGdTJG2bJZbMeEwEAULhoatAr\n6Sfbp55ZZaUqdtrJYxqgNIQXDMgsfVfpxx/3mAYAgMJFU4NeSYWamopJk2QVFR7TAKUhfvBBimw0\nJqhZMAAAgM7R1KBHrrFRTS+8ENRxpp4Bg8LKy1U1bVpQpx56WC3vvecxEQAAhYmmBj1KL1woNTUF\ndWwvmhpgsFSdeopUVtZaOKfkrNl+AwEAUIBoatCj8P00kQ03VHTbbTymAUpL2dixih98cFAn58yV\na2z0mAgAgMJDU4MehZua2JS9ZGYe0wClp/qrZwXv3erVarj9Do9pAAAoPDQ16Famrk7Nr78e1LEp\nUzymAUpTxe67q7y2Nqjr/3qtnHMeEwEAUFhoatCt9IKn1qu5nwYYfGamqtDVmpY33lDTs896TAQA\nQGGhqUG30gvap55Ft9xS0XGbeEwDlK7Ko45SZNSooK6/9jqPaQAAKCw0NeiSc07pJ54M6hhLOQPe\nWCKhymmnBnXqvvvV8v77HhMBAFA4aGrQpczSpcqEnolBUwP4VXXGGe3LO2ezSt4wy28gAAAKBE0N\nuhRe9UyRiGJ77OEvDABFx22ixKGHBnVyzlxlWd4ZAACaGnQtFWpqynfcUZERIzymASBJVWd/JXjv\nVq9W4/zb/YUBAKBA0NSgUy6TUfqp9pXP4kw9AwpCxW67qXzChKCuv5blnQEAoKlBp5oXLZJbvTqo\nY3vzfBqgEHx6eec31fQMyzsDAEobTQ06Fb6fxhIJVUyc6DENgLDKo45SpKYmqOuvvdZjGgAA/KOp\nQafCSzlXTNpdFot5TAMgzOLx9Zd3vv8BlncGAJQ0mhp8imtsVPr554M6thf30wCFprrj8s4zb/Ab\nCAAAj2hq8Cnp51+Q0umgjk/hfhqg0JRtMlaJL4eWd57L8s4AgNJFU4NPSS9ov58mssEGim67jcc0\nALpS9dWzg/du9Ro13jbfYxoAAPyhqcGnpJ9sv58mttdkWYT/TIBCVLHLLirfbrugZnlnAECp4rdV\nrCdTt0rN/3g9qFnKGShcZqaqs0PLO7/5z/X+UgIAgFJBU4P1ND31lBT6m94Y99MABa3y6KMUGT06\nqOv/cpXHNAAA+JFXU2NmcTO71MyWmVmDmT1nZgf1Yr/NzOw3ZvZkbr+smU3uYtu7cp93/Hkwn8zo\nnVTo+TRlW2yh6LhxHtMA6InFYqo684ygTj/2uJrffNNjIgAABl++V2pmS/qupNsl/UhShaS7zWzv\nHvbbQdJ3JNVIapvj1N0E8GWSftzhh6fMDaD0gvapK/EpLOUMFIOqM8+QxeNBXX/1NR7TAAAw+Prc\n1OSurBwr6X+cc99wzl0maYqkjyT9pofdn5A0yjk3QVJv5kgsc879ssPPjX3NjN5pWbpUmaXvBjVT\nz4DiUFZTo8oTjg/qhtvmK7NihcdEAAAMrnyu1JyYe72ibcA5Vy9ppqRdzWzzrnZ0zq11zq3tw7nM\nzIab2aZmFs0jK/ogveCp9sJMsT338BcGQJ9Ufe1r7UVTk5LXz/QXBgCAQZZPUzNR0rvOuY5/Dbgw\n97rTZ4u0nh0k1Ul6V1Kdmc0ws8p+PD5Cwqsmle+4gyIjR3pMA6Avyr+wpeIHHhDUyRtm8TBOAEDJ\nyKepGStpeSfjbWOb5B/nU8ebIekcSReotWk6X9Id/XR8hLhsdr0rNUw9A4pP9bnnBu+zq1ap8ZZb\nPaYBAGDw5NPUJCSlOxlPhT7/zJxz5zjnvuOcu845d4Vz7gBJsyTtb2YH98c50K550SJlV60K6jhN\nDVB0KvaYpPLttw/q+quvkctmPSYCAGBw5HOfSqOkWCfj8dDnA+USSadLmirp/u42rKurU21tbaef\nTZ8+XdOnT+/3cMUsHVrK2eJxVew80WMaAPkwM1V//RytuuBbkqSWt99W6qGHlTjoQM/JAAClYsaM\nGZoxY8anxpcsWSJJowbqvPk0Ncslfa6T8bG512X5x+nR+7nXHr+QmpoaLVq0aACjDC3h+2kqdt9t\nveVhARSPxOGHa+3//UqZ5a0zguuvuoqmBgAwaLq6eDBhwgQtXrx4VSe79It8pp+9KGkzMxvTYXy3\n3Osrny1St7bOvbJWaT9yqZTSCxcGNffTAMXLystV9dWzg7rpmWfV9NprHhMBADDw8mlq2u48Pb9t\nwMyqJZ0h6QXn3NLc2BZmNsnMyvt6AjMb1bFpMrO4pF+p9WGd9+aRG11oeuFFKdV+m1SMh24CRa3q\n1FNkVVVBXX/V1R7TAAAw8Prc1DjnFkiaL+knZna5mX1L0uOSNpL0vdCmF0t6WtLotgEzqzCzH5vZ\njyUdlhs+Mzf27dC+W0taambzzew3Zna5pNcl7SfpBufcM33Nja6lQlPPIqNGqbyLe5EAFIfIiBGq\nPPnkoG688+9q+WAgZwYDAOBXPldqJGmapMskHafWm/dbJB3hnHs8tI3L/YRVSvqFpP9P0lG5z8/J\njf0wtN1SSfMk1ar1itDZklZLusA5d1aemdGF8P00sb0myyL5/mcBoFBUf+1sqe3/5UxGyWuv9RsI\nAIABlNdvr865lHPue865TZxzCefc7s65+ztsc75zrsw5tyw0tto5F8mNh18jzrkxoe2WO+fOcs5t\n7Zyrds5VOed2cc5dkf8/KjqTXbVKza/9I6hje+/tMQ2A/hLdbDPFDz00qJNz5ipbX+8xEQAAA4e/\nki9x6aefkVz7BTXupwGGjmFfb38Yp1u3Tsk5cz2mAQBg4NDUlLjw1LOy8Zsr+rnOVusGUIwqdp6o\nil12Cer6q66WS3f27GQAAIobTU2JS4Ueuhnbi6WcgaGmenqwUKWyH36ohvnzPaYBAGBg0NSUsJb3\n3lPmnXeCOs7UM2DIiR9wgKJbbxXU9VdcKZfJeEwEAED/o6kpYenQVRqZqWLPPf2FATAgLBLRsG98\nI6hblixR6r77u9kDAIDiQ1NTwsL305Rvv53KakZ5TANgoCSOOlJlm24a1OtmzJBzHVfcBwCgeNHU\nlCiXzSq94KmgZilnYOiy8nJVn/f1oG5+9bX1/v8HAKDY0dSUqObFb+j/b+++49uqzj+Ofx7JluQd\nZzIaVikjIUDIYCaEvUoZZbRlzxZoGWV1AKW0tIwCLRBICLSEVVpo2HsnFMoKM/mxAwGSkOE48bYl\nnd8fkq8Vx1OWfSX7+369/JKeo3ukx4eDncf33HPjFRVeHN5F19OI9GeFPzqSwJAhXlx941QfsxER\nEYPd/NcAACAASURBVMksFTUDVMPs2S1BOEx4/Dj/khGRXhcoKKD4pBO9uOHll2l85x0fMxIREckc\nFTUDVMNLLUVNePuJWEGBj9mISF8oOu5YrKjIi6um3uxjNiIiIpmjomYAitfW0vD6614c3nVXH7MR\nkb4SGDSIomOO9uL6J56g6dNPfcxIREQkM1TUDECN/3sNGhu9OLKrNgkQGSiKTzkZQqFE4BzVN0/z\nNyEREZEMUFEzANW/9JL3PDBiOHlbbOFjNiLSl4LrrEPh4Yd5ce1/ZhFbtNjHjERERHpORc0AlHo9\nTWTyZMzMx2xEpK+VnPYzCCR//Dc1UXXLLf4mJCIi0kMqagaY6DeLiH7yiReHp+h6GpGBJm/jjSk4\nYH8vrr37HmIVK33MSEREpGdU1Awwa2zlbEZ40iT/khER3xT//AzvuautpWbmTB+zERER6RkVNQNM\nQ8r1NPljtiKYcjM+ERk4QltttcaZ2upbbyNeXe1jRiIiIulTUTOAuFiM+jlzvDg8WbueiQxkJaln\nayorqfnH7f4lIyIi0gMqagaQpvfew1Wu8uKI7k8jMqCFd9yR0A7be3H19Ft0tkZERHKSipoBpD5l\n1zMrLCQ0fpyP2YhINig95xzveXzlSmpu17U1IiKSe1TUDCCp19OEd9oJa74Bn4gMWKGddyK0/UQv\nrp42nXhNjY8ZiYiIdJ+KmgEiXlVF41tzvVhbOYsIgJlR0vpszcw7fMxIRESk+1TUDBAN//0vxGJe\nrE0CRKRZeJedCU2Y4MXVN0/T2RoREckpKmoGiIaU62mCI0eSt8nGPmYjItnEzCj5ZcrZmooKau64\n08eMREREukdFzQBRn3LTzfDkyZiZj9mISLYJT9qF0PjxXlx98zTitbU+ZiQiItJ1KmoGgOgXXxD7\n4ksvjuh6GhFpJXG25mwvjq9YQc0durZGRERyg4qaASB1K2cCAcI77+RfMiKStcKTJxMa17LVe/XN\n03W2RkREcoKKmgEgdSvn0NixBMrKfMxGRLLVWmdrli/XtTUiIpITVNT0c66piYb/vuLF2spZRDoS\n3nVX8seO9eLqm6cRr6vzMSMREZHOqajp5xrffhtXXe3F2spZRDpiZpSem7IT2vLl1N55l48ZiYiI\ndE5FTT/X8GLL0jMrKyO07TY+ZiMiuSA8ZQr5Y7f14qqbbtbZGhERyWoqavq5NbZy3nlnLC/Px2xE\nJBeYGaXnpJytWbaMmpkzfcxIRESkYypq+rFYxUqa3nnXi7WVs4h0VXj33dY8W3PDVOKrV/uYkYiI\nSPtU1PRjDS+/DM55cXhXXU8jIl1jZpRecIEXu8pKqqff4mNGIiIi7VNR04+lbuWc993vkved7/iY\njYjkmsjkSYR32cWLq2+ZQWzZMh8zEhERaZuKmn7KOUd9yiYB4cmTfMxGRHJV6a9SztbU1lJ1w40+\nZiMiItI2FTX9VPT/PiS+ZIkXR3bbzcdsRCRXhcaOJbL/fl5cc+ddRL/6yseMRERE1qaipp+qf/75\nliASJrTTjv4lIyI5rfSC8yGQ/HXR2EjVNdf6m5CIiEgrKmr6qdSiJrzTTgQKCnzMRkRyWf73vkfh\n4Yd5ce1/ZtH00Uc+ZiQiIrImFTX9ULyyksY33/LiyO67+5iNiPQHJef+EkKhRBCPs/qqq/1NSERE\nJIWKmn6ofvYciMW8OLK7rqcRkZ7JW399io49xovrn3yKxrlv+5iRiIhICxU1/VBDytKzvO9+l7wN\nN/QxGxHpL0rO/AVWVOTFq/58BS7lXlgiIiJ+UVHTz7h4nPoXXvTisM7SiEiGBIcMofinp3px4yuv\n0DBnjo8ZiYiIJKio6Wea3n+f+PLlXqzraUQkk4pPPYVAebkXr9bZGhERyQIqavqZ+udf8J5bYSHh\n7Sf6mI2I9DeBkhJKzvyFFze99z71jz3uY0YiIiIqavqd+udStnKetAsWDvuYjYj0R0XHHkNwvfW8\neNUVV+KamnzMSEREBrq0ihozi5jZVWa2yMxqzew1M9u7C/02MLOrzWxOsl/czHbu4PhJZvaymdWY\n2RIzu8HMito7fqCLrVhB0zvveLGWnolIb7BIhJJzz/Hi2IIF1Nx1t48ZiYjIQJfumZq7gHOBB4Hf\nAiHgMTOb3Em/rYFfAoOBD5JtbS7GNrNxwDPJYy8B7gV+CjyQZs79XsOLL0HK2vbwbtokQER6R+Hh\nh5O3xeZeXHXNtcRXrfIxIxERGci6XdQkz6wcCvzBOXe6c+46YBLwLdDZ3dhmA+XOudHALZ0cewVQ\nDUxyzl3jnDsbuBDY08z2627eA0F96lbOW25B3vrrdXC0iEj6LBik7OKLvDi+ciVVN9zoY0YiIjKQ\npXOm5ojk403NDc65amAmMMHM2r0pinNutXNudWcfYGZDgN2AfznnVqS8dAvQlJKDJLlYjPoXX/Ri\nLT0Tkd4WmTKF8K4tJ+irb/s70YULfcxIREQGqnSKmu2Ahc65pa3aX08+btuzlLz3CABvpDY652qA\necDYDHxGv9I4921cZcvSj4juTyMifaDs4osgkPxV0tjI6iuu9DchEREZkNIpatYFFrfR3tyWiTVP\n67Z6z1RLMvQZ/UpDytIzKy0lNG6cj9mIyECRv+WWFB7ZcvK87qGHaXxrro8ZiYjIQJROUVMANLTR\nXp/yek81v0d7nxPJwGf0K6n3p4lMnozl5/uYjYgMJKXnn4cVtPzor7z097ohp4iI9Km8NPrUAW3d\n/CSS8npPNb9He5/T6WdUVFQwatSoNl8744wzOOOMM9LPLsvEvv2Wpg8+8OKwlp6JSB8KjhhB8Rmn\nU/WXawBomjuXugcepPDQQ3zOTERE+trUqVOZOnXqWu2fffYZQHlvfW46Rc1iYGQb7c1Lxhaln84a\nnwGwTjuf0+lnDB48mHnz5mUgleyXukEAQGS3Kb7kISIDV/HPfkrtPf8ktijx43nV5X8isu8+BAoL\nfc5MRET6UnsnD0aPHs38+fNX9tbnprP87C1gAzMb3qp9YvLxHXruXSCe8p4AJG+8OSpDn9Fv1D/X\nsvQsf8wYgsNb/6cREeldgYICSi/6rRfHlyyheupNHfQQERHJnHSKmvuTj6c1N5hZMXAs8KZz7stk\n28ZmtoOZdfviDufccuBF4EgzG5zy0slAPnBfGnn3S66piYbZs71Yu56JiF8KfnAgoYkTvLhq2jSi\nX33lY0YiIjJQdLuocc69DDwAXGxmN5jZmcBLwAjg/JRDLwReAYY1N5hZyMwuMrOLgAOSzccl285p\n9VG/AoqB2WZ2tpldA1wFPOece7y7efdXjW++iauq8uKw7k8jIj4xM8ou+z2YJRrqG1j9xz/5m5SI\niAwI6ZypATgKuA74IXAlEAUOdM69lHKMS36lKgQuA34PHJR8/ZRk269TD3TOvQnsBawC/pT8zBmA\nrjxNkbrrmQ0aRGhsJm4TJCKSntCYMRT+6Egvrnv0URpeedXHjEREZCBIq6hxztU75853zq3nnCtw\nzm3vnHuq1TGnOeeCzrlFKW2VzrlAsj31MeCcW+tCEOfcHOfczs65QufcOs65nzvnqtPJub+qT7k/\nTWS3KVgw6GM2IiJQeuEFWHGxF1dedBGuqcnHjEREpL9L90yNZIHoN98Q/fAjL45o6ZmIZIHgsGGU\n/LJlRXH0o4+p+cft/iUkIiL9noqaHFb/7HMtgRnhKbv6l4yISIriE08gb/PNvHj1NdcS+/ZbHzMS\nEZH+TEVNDqt/5hnveWjcOIKDB3dwtIhI37H8fAZd/kcvdtXVrPrj5T5mJCIi/ZmKmhwVr66m4b+v\neHFk7718zEZEZG3hHXek4JCDvbhu1gM0vKpNA0REJPNU1OSohtlzoLHRi1XUiEg2Krvot1hRkRdX\n/labBoiISOapqMlR9U8/7T0PbrQheZtu6mM2IiJtC66zzlqbBlTPuNXHjEREpD9SUZODXCxG/XMp\nWznvtRfWfLM7EZEsU3zSieRtsbkXV11zLdGFC33MSERE+hsVNTmoce5c4hUVXlyw994+ZiMi0jHL\nz2fQFVd4sauvp/K3F+Nc6/szi4iIpEdFTQ6qf7pl1zMrKyM0YbyP2YiIdC48YTyFRx3lxQ3PP0/9\nY4/7mJGIiPQnKmpyUGpRE9l9Nyw/38dsRES6puw3vyIwdKgXV15yCfHVq33MSERE+gsVNTkm+vkC\nop9+6sWRvbTrmYjkhsCgQZT97hIvjn+7lNVXXuVjRiIi0l+oqMkxdSk33CQvj8huU3zLRUSkuwoO\nOZjwpEleXDPzDhreeMPHjEREpD9QUZNj6lOKmvAOOxAoLfUxGxGR7jEzBv35coiEEw3OUXneBbj6\nen8TExGRnKaiJofEKlbS+HrLXzR1w00RyUV5G29M6XnneXH000+p+tv1PmYkIiK5TkVNDql/5hmI\nxbw4steePmYjIpK+4lNOJn/rMV5cddPNNH4wz8eMREQkl6moySH1Tz7pPc8fPZq8DTbwMRsRkfRZ\nXh7lf/kL5OUlGqJRKs87HxeN+puYiIjkJBU1OSJeW0v97NleHNlvXx+zERHpufzRoyg543Qvbnr/\nfapvnuZjRiIikqtU1OSIhhdehPoGLy7Ydx//khERyZCSs84kb9NNvXj1tdfR9OGHPmYkIiK5SEVN\njqhLWXoW3GhD8rbYwsdsREQyw8Jhyq+9BgLJX0eNjaw86xxcU5O/iYmISE5RUZMDXGMj9c8+58UF\n++6LmfmYkYhI5oTGbUfxaT/z4qYPPqDqhht9zEhERHKNipoc0PDqq7jVq704sq+upxGR/qX03F+S\nt/lmXlz1t+tp/OADHzMSEZFcoqImB9Q/0bL0LDB8OKFx2/mYjYhI5lk4TPlfr4NgMNEQjbLy7HNw\nDQ0ddxQREUFFTdZz8Th1Tz/txZG998YC+s8mIv1PaOutKTnzF14c/b8PWX31X3zMSEREcoX+dZzl\nGue+TfzbpV5csJ92PROR/qvkzF+Qv9VWXlw9bToN/33Fx4xERCQXqKjJcqk33LTSUsI77eRjNiIi\nvctCIcpv+BtEwokG51h51tnEKyv9TUxERLKaipos5pyj7vHHvTiyx+5YKORjRiIivS9/s80ou+gi\nL44tXkzlr3+Dc87HrEREJJupqMliTR98QOzLhV5csP/+PmYjItJ3io4/jvBuU7y47uFHqPvPLP8S\nEhGRrKaiJovVPfqY99wKC4mk/IIXEenPzIzya68hMHiw11b524uILljgY1YiIpKtVNRkKeccdY8+\n6sWRPffACgp8zEhEpG8Fhw9n0F+u8mJXXU3F6Wdom2cREVmLipos1TRvHrEvvvTigu9/38dsRET8\nUbDPPhQde4wXN733Pqv+fIWPGYmISDZSUZOl6h5pOUtjBQWEd9/Nx2xERPxTdsnF5G25pRfXzLiV\numee9TEjERHJNipqslBi6VnL9TSRPfcgoKVnIjJAWUEBg6fdtMYS3JVnn0Ns0WIfsxIRkWyioiYL\nNc2bT+yLL7xYS89EZKDL33RTyi7/oxe7ysrE9TVNTT5mJSIi2UJFTRZK3SDACgoI77G7j9mIiGSH\nwiMOp+DQQ7248Y03WP2nP/uYkYiIZAsVNVmm9dKz8O67a+mZiAiJbZ4H/fly8jbd1GurvmXGGj8z\nRURkYFJRk2Wi8/+PWMp9GAq+f4CP2YiIZJdAcTGDZ0zHCgu9tpXnnkfTp5/5mJWIiPhNRU2WqX3k\nEe+5RSJE9tzDx2xERLJP/mabMejqK73YVVdTceqpxGtrfcxKRET8pKImizjnqHvoYS8O77EHgZS/\nRoqISELhwQdTdOIJXhz96GMqzz0P55yPWYmIiF9U1GSRprlvE1u40IsLDznIx2xERLJb2cUXkb/d\ndl5c9/AjVE+9yceMRETELypqskjtgw96z620lMhuuuGmiEh7LBRiyPRpBIYN89pWX3El9c8972NW\nIiLiBxU1WcJFo9Q93HI9TcH++2GRiI8ZiYhkv+B66zJ4xi2Qn59ocI6Kn/+Cps8+9zcxERHpUypq\nskTDK68QX77ciwsOPtjHbEREckd4wngGpd6Yc/VqKk48ifiqVT5mJSIifUlFTZaoe6Bl6Vlg+HDC\nO+3oYzYiIrml6KifUHTsMV4c/fRTKn52Gq6pycesRESkr6ioyQKuro66x5/w4oIDD8SCQR8zEhHJ\nPWW/v5TQDtt7ccPsOVRedIl2RBMRGQBU1GSB+udfwFVXe7F2PRMR6T4LhRg84xaCG23otdXedRc1\nM271MSsREekLKmqyQO2DD3nPgxttSP622/qYjYhI7goOHsyQmTOxsjKvbdVlf6Du6Wd8zEpERHpb\nWkWNmUXM7CozW2RmtWb2mpnt3cW+5WY2w8yWmVm1mT1vZuPaOO5RM4u38dWvfjPFV6+m/rnnvLjw\n4IMxMx8zEhHJbfmbfpcht0yHvLxEg3OsPP0MGt9+29/ERESk16R7puYu4FzgQeC3QAh4zMwmd9TJ\nzILAE8DRwD+Ay4ANgRfMbPM2uiwCLmr19fc0c85KdY8+Bg0NXlxwsJaeiYj0VHiXnRn05z95saur\nY8WxxxNdsMDHrEREpLfkdbeDme0MHApc5py7NNk2A/gQuBrYvv3e/AiYCJzonLs92feeZN/LgCNb\nHb/IOfcn+rHa++7znudvPYb8733Px2xERPqPop/8mOjChVTfcCMA8YoKlh91NMMeepBgyg07RUQk\n96VzpuaI5ONNzQ3OuWpgJjDBzDZss1dL31XAnSl9vwYeAg40s3Cr483MSs3sO2bW7QIs20UXLKDx\n9Te8uPCIIzo4WkREuqv0wgsoOOwwL459uZAVxx1PvKbGx6xERCTT0ilqtgMWOueWtmp/PfnY0VXu\n2wHvOudibfSNAFu0at8aqAAWAhVmNtXMCtPIOSvV3nd/S5CfT8FBWnomIpJJZkb5X64iPGVXr63p\n3feoOPkUXMrSXxERyW3pFDXrAovbaG9uWy9DfRcDU4FTgJ+TKHxOI3FWJ+e5eJza+//jxZG99iQ4\nuNzHjERE+ifLz2fw9GnkjxnjtTXMnkPFz8/ERaM+ZiYiIpmSTlFTALT15636lNfXYmb5yc/rUl/n\n3CnOuV865/7hnLvJObcniWVre5jZPmnknVUaX3mV2DffeHHh4Yf7mI2ISP8WKC5myJ0zCW60kddW\n//jjVJ5/AS4e9y8xERHJiHSuU6kDWl/7AonlY82vr8U512RmsXT6prgSOAaYAjzV0YEVFRWMGjWq\nzdfOOOMMzjjjjE4+qnfV/Ltlg4DAkCFEdpviXzIiIgNAcNgwht57D8sOPpT4kiUA1P77PqyklLLf\n/07b6YuIZMDUqVOZOnXqWu2fffYZQK8tS0qnqFkMjGyjfd3k46JO+q6TZl+Ar5OPnQ7I4MGDmTdv\nXmeH+SJeXU394497ccGhh2D5+T5mJCIyMOSNHMnQe+9h+aGHEa+oAKDmttuwggilv7pQhY2ISA+1\nd/Jg9OjRzJ8/f2VvfW46y8/eAjYws+Gt2icmH9/poO9cYGwbO5lNJHGW5sNOPrv5XjatNynIKXWP\nPYarazkpVaRdz0RE+kz+977HkHvuwkpKvLbqG6dSdfVfcM75mJmIiKQrnaKmecuu05obzKwYOBZ4\n0zn3ZbJtYzPbIXktTWrfUuColL7rAwcBjznnGpJt5a2LJjOLAH8GHIkbeOas2pSlZ/mjR5M/aksf\nsxERGXhCY8Yw5I7bscKWDTWr/nY9Vdde52NWIiKSrm4vP3POvWxmDwAXm9lQ4BPgOGAEcHTKoRcC\npwLfoWVZ2T+BXwA3m9nmwHISxVEcuDil7+bAC2b2JPApiWtu9gM2AWY6517tbt7Zoumzz2n832te\nXHiENggQEfFDeOJEhtxxOyuOOc47e1517XUQCFB6ztk+ZyciIt2RzpkaSJxpuQ74IYmL96PAgc65\nl1KOccmvlobE/Wn2Be4hsVXzH0hcJ7O7c+6jlEO/BO4FRpEoek4EKoGfO+dOSDPnrFB7990tQShE\nwaGH+JeMiMgAF95xR4bMvB2LRLy2qr9cw+orr9JSNBGRHGL98Ye2mc0bNWrUqGzbKMDV17Nk/ETi\nKxPXSBUcfBCDp97oc1YiIlI/52VWHH881LfcdaDolJMp+90l2jxARCQDkhsFzHfOje6N90/3TI2k\noe6JJ7yCBqDo6KM6OFpERPpKZNIuDLn9dqyg5VZrNTNuZdWvf6P72IiI5AAVNX2o5q6WpWd5m25K\naIcdfMxGRERSRSbtktgVrbjYa6u58y5WnnUOrqnJx8xERKQzKmr6SNMnn6yxQUDRUT/RkgYRkSwT\nnjiRof/6JzaozGurmzWLFSeeRLy21sfMRESkIypq+kjqWRrCYQoPP8y/ZEREpF2hbbdl2H33ERg6\n1GtreP4Flh/xI2IVvXbfOBER6QEVNX3A1dVRe//9XlxwwAEEyst9zEhERDqSP2pLhj04i+AGG3ht\nTW+/zfJDDiX69dc+ZiYiIm1RUdMH6h57HFe5youLjtEGASIi2S5v440Z9uAs8keN8tqin37KsgMP\novHdd33MTEREWlNR0weqZ97hPc/bbDNCEyb4mI2IiHRVcMQIhv7nPkI7tmzsEl+6lOWHHkbdk0/6\nmJmIiKRSUdPLGue+TdPcuV5cdMzR2iBARCSHBEpLGXrXnRT84ECvzdXXU3HyqVRNv0U36RQRyQIq\nanpZ9W23ec+tpITCIw73MRsREUmHRSKUT72R4l/8vKXROVZf9gcqzzsf19DQfmcREel1Kmp6UWzR\nYuoefcyLi378IwIp9z8QEZHcYYEAZb+6kEHXXA15eV577b3/YvnhRxL79lsfsxMRGdhU1PSi6pkz\nIRpNBIEARScc72s+IiLSc0U/+hFD775rjXvZNL71Fkv3P4DGt9/2MTMRkYFLRU0vidfVrXFvmsi+\n+5CXsjWoiIjkrvAuOzP8sUfJ23wzry2+5FuWHXoYNXfcqetsRET6mIqaXlL3n1m4ykovLj75JB+z\nERGRTMvbaCOGPfwQkf32bWlsbKTy179h5ZlnEa+t9S85EZEBRkVNL3DOUX3b3704f8wYQhMn+piR\niIj0hkBxMYNvmU7JeedCys6WdbMeYNn3D6Tpk098zE5EZOBQUdMLGmbPJvrxx15cfNKJ2sZZRKSf\nskCA0nPOZsjddxIoL/faox99zLJ996fm7nu0HE1EpJepqOkFVTdM9Z4Hhg1b494GIiLSP0V23ZVh\nTz1JaNw4r83V11N5wYVUnPoz4ilLkkVEJLNU1GRYwxtv0Pjqq15cfNKJWDjsY0YiItJX8tZfj6H3\n/5vin566Rnv944+zdK99aHj5vz5lJiLSv6moybCq62/wnltpKUXHHetjNiIi0tcsFKLskosTy9GG\nDfPaY4sWsfzIH1F58SXaREBEJMNU1GRQ4/vv0/D8C15cfMLxBEpLfcxIRET8EpkyheHPPEV4993W\naK/5+z8SZ23eeMOnzERE+h8VNRlUdf2N3nMrKKBI2ziLiAxowWHDGDLzdsou/wNWUOC1x774guWH\n/DBx1qa62scMRUT6BxU1GdL0ySfUP/GEFxcdewzBwYN9zEhERLKBBQIUH388w59+itD48S0vOJc4\na7PbHtQ/+5x/CYqI9AMqajKk6oap0LxlZzi81kWiIiIysOVtsjFDZ91P6W9/AykbyMQWLWLFccdT\n8bPTiC1e7GOGIiK5S0VNBkQ/X0Ddgw96cdGRRxAcMcLHjEREJBtZMEjJ6acx/JmnCe24wxqv1T3y\nKN9OnkLVzdNwjY0+ZSgikptU1GTA6quuglgsEQSDFJ9+mr8JiYhIVsv/7iYM/fe/GHT1VVjKhjKu\ntpbVf7ycpXvtQ/1LL/mYoYhIblFR00ON77xD3SOPenHRUT8hb+RIHzMSEZFcYIEART/5MSNeeoGC\nH/5wjdein37Kip8czfJjjqXp4499ylBEJHeoqOkB5xyrLv+zF1tBASXnnO1jRiIikmuCw4cz+Pq/\nMnTW/eRtucUarzU8/wJL99ybyl//htjSpT5lKCKS/VTU9EDDSy/R+MorXlx86ikEhw/3MSMREclV\n4e23Z/iTT1B22e+xQWUtL8Ri1NxxJ9/utAurrriS+KpV/iUpIpKlVNSkycXjrE45SxMoL6f4tJ/5\nmJGIiOQ6y8uj+KQTWeflORSdcjLk53uvubo6qm+4kSU77UzVDTcSr6ryMVMRkeyioiZNdQ8+RNP8\n+V5ccvZZBEpKfMxIRET6i0B5OYMu/R0jnn+OyP77r/Gaq1zF6iuuZMn2O7L6qquJVVT4lKWISPZQ\nUZOGeG0tq6+8youDI0dSdMzRPmYkIiL9Ud4mGzNkxnSGPf4o4V0nr/GaW7WKqr9dz7cTd6Dy0t/r\nHjciMqCpqElD1d+uJ/b1115cev55WMqN1ERERDIptM02DL3nbob++19r3d/G1dVRM+NWluy4Mysv\nuJDoggU+ZSki4h8VNd3U9NFHVE+b7sWh8eMpOORgHzMSEZGBIrzzTgy7/z6GPjiL8O67r/liUxO1\nd9/Dt5OnsOLEk6ifPRsXj/uTqIhIH1NR0w3OOSp/81uIRhMNwSCD/vwnLKBhFBGRvhOeMIGhd85k\n2FNPUnDg98Gs5cV4nPqnnmbFj49i6a67UT3jVu2YJiL9nv413g21991P4/9e8+LiU04mf9SWPmYk\nIiIDWWir0QyedjPDX3yBwiOPgLy8NV6Pfv45qy79PUu2G8/K8y+g8YN5PmUqItK7zDnndw4ZZ2bz\nRo0aNWrevMz98I6vXMm3k6cQT+4yE1xvPYa/+DyBoqKMfYaIiEhPxBYtpuauu6i555/Ely1r85j8\nbbeh8Ic/pOCgHxAcMqSPMxSRgWr06NHMnz9/vnNudG+8v87UdFHlpZd5BQ1A2WWXqqAREZGsElxv\nXUovOJ91Xv8f5TfdSGjihLWOaXrnXVZdfAlLthvPiuNOoPahh3F1dT5kKyKSOXmdHyK1Dz5IRvK7\nhAAAEc9JREFU3f33e3F4jz2I7LuvjxmJiIi0z0IhCg86iMKDDqJp/v9RPfMO6mbNwtXWthwUjVL/\n7LPUP/sslcXFFBywP4WHHkpoh+2xPP3zQERyi5afdSK6cCFL994Xl7xzs5WVMfyZp8lbf70ev7eI\niEhfia9eTd1DD1M7axaNr7/R7nGB8nIie+1JZN99CE+eTKCgoA+zFJH+qreXn6mo6YCLRll+6GE0\nvvWW1zZ4+jQKvn9AT1MUERHxTXThQmpnPUDdf2YR/fzzdo+zSITwlF2J7LMPkT33JDi4vA+zFJH+\npLeLGp1f7kDVX/+2RkFT+JMfq6AREZGcl7fBBpSefRYlZ51J07vvJgqcBx8ivmLFGse5+nrqn3yK\n+iefgmCQ0HbbEZ48ifCkSYTGbqtlaiKSNXSmph31L73EiqOPheSNy/I22YRhTz1BoLAwU2mKiIhk\nDReN0vjGG9Q9+RT1Tz1N7KuvOjzeSkoI77Qj4UmJIifvu5tgqffLERFJoeVnaehpUdM0bz7LDv0h\nrro60ZCfz7BHHiI0ZkwGsxQREclOzjmi8/+PuqcSZ2mauvD7NLjuuoQmTiA0YQKhCePJ33JLLBjs\ng2xFJBeoqElDT4qa2KLFLD3wB8SXLPHayv74B4pPOD6DGYqIiOSO6FdfUf/sczTMnk3DK6+2/NGv\nA1ZURGi77QhNGJ/42mYbAmVlfZCtiGQjXVPTh+JVVSw/9rg1Cpqik09SQSMiIgNa3siRFJ9wPMUn\nHI9raqLxnXdomPMyDbPn0Dh3LsRia/VxNTU0zJlDw5w5Xltwow0JbTWG/DFbkb/1GPK32org4MF9\n+a2ISD+lMzVJ8dpaKk48eY0fvpH99mXw9Gk6fS4iItKOeFUVDa++SuNrr9P4xps0vv8+NDZ2uX9w\n/fXJHz2KvM02I3/zzROPm34Xi0R6MWsR6Ws6U9MHYhUVrDj2OJrefsdryx87lvIbrldBIyIi0oFA\nSQkFe+9Nwd57A4kd0xrfey9R4Lz5Jo1vvEl85cp2+8e++YbYN9/A08+kvGmA4IYbkr/Z98jbbDPy\nNtmEvI03Jm/jjQgMGaINCURkLYF0OplZxMyuMrNFZlZrZq+Z2d5d7FtuZjPMbJmZVZvZ82Y2rp1j\nJ5nZy2ZWY2ZLzOwGMyvqyudUVFR06XuJLlzI8oMOWaOgCW60IUNu/7t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EcpqKGhERERER\nyWn/D4dk2Gs3xaq+AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f06626886d8>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dy = [v.d(v2) for v,v2 in zip(y,x)]\n",
"ddy = [v.d2(v2) for v,v2 in zip(y,x)]\n",
"\n",
"plot(x, y)\n",
"plot(x, dy, '--')\n",
"plot(x, ddy, ':')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"[<matplotlib.lines.Line2D at 0x7f0662613ac8>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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GYAZnDG7xPufmnddi+8isUfzhkj+1Gl+/bv2bjfwc9B+k/FA55+Wd3+z42kAN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\nAMfMzMzMzHrDAxwzMzMzM+uN/wCbJf7lg1vyBgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f066267e0b8>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def d(a, b, out=None):\n",
" it = np.nditer([a, b, out],\n",
" flags = ['buffered', 'refs_ok'],\n",
" op_flags = [['readonly'], ['readonly'],\n",
" ['writeonly', 'allocate', 'no_broadcast']])\n",
" for y, x, deriv in it:\n",
" (v1,), (v2,) = y.flat, x.flat\n",
" deriv[...] = v1.d(v2)\n",
" return it.operands[2]\n",
"\n",
"def d2(a, b, out=None):\n",
" it = np.nditer([a, b, out],\n",
" flags = ['buffered', 'refs_ok'],\n",
" op_flags = [['readonly'], ['readonly'],\n",
" ['writeonly', 'allocate', 'no_broadcast']])\n",
" for y, x, deriv in it:\n",
" (v1,), (v2,) = y.flat, x.flat\n",
" deriv[...] = v1.d2(v2)\n",
" return it.operands[2]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dy = d(y, x)\n",
"ddy = d2(y, x)\n",
"\n",
"plot(x, y)\n",
"plot(x, dy, '--')\n",
"plot(x, ddy, ':')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"[<matplotlib.lines.Line2D at 0x7f06625e5358>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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GYAZnDG7xPufmnddi+8isUfzhkj+1Gl+/bv2bjfwc9B+k/FA55+Wd3+z42kAN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\nAMfMzMzMzHrDAxwzMzMzM+uN/wCbJf7lg1vyBgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f06623acb38>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
}
],
"metadata": {}
}
]
}
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