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April 9, 2020 12:53
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x19c9bfbb978>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Exercise 2\n", | |
| "\n", | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "\n", | |
| "final_positions = []\n", | |
| "num_steps = 500\n", | |
| "num_trials = 5000\n", | |
| "p=0.5\n", | |
| "\n", | |
| "for i in range(num_trials):\n", | |
| " pos = 0\n", | |
| " for j in range(num_steps):\n", | |
| " if pos == 6: # the instruction 'same for 7 to 6' is unclear - if the barrier is at 6 why\n", | |
| " p=0.25 # is it less likely to reach the barrier? I assumed only 6->5/7 is affected.\n", | |
| " \n", | |
| " elif pos == -4: # the instructions were a bit unclear about what it means to 'not stay there' \n", | |
| " p=1 # but I just took it to mean you can land at -4 but if so, next is -3.\n", | |
| " \n", | |
| " else:\n", | |
| " p=0.5\n", | |
| " \n", | |
| " if np.random.random() < p: #advance a step\n", | |
| " pos+=1 \n", | |
| " else:\n", | |
| " pos-=1\n", | |
| " final_positions.append(pos) # add final position\n", | |
| "\n", | |
| "plt.hist(final_positions, bins = 20)\n", | |
| "plt.title('Random walk with Reflection at -4, Partial block at -3')\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 84, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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UBmPM80DUhL1zB7Mt9cZA5E7Uvt5yP8MvlV3KpVqiQBSlUinHyFRUhEGu7RjM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IBgJTjHG97W2tTP4PrV/2zmmNQxTJ48OcdRw89TzFUBRVHKQ7E87cHiBUGF47YLTy3qeO/57Z94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\nBSSVeCUtxDRheKV1DwAx8FUEo8aTB3XyIGXTe22jKnhB+1GU3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qcAACAASURB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A4cdRqWCNfe/zsakkkG0gZjpTns1TVMePP3Xv9aF3ySpobjGEhZWOkBbv/hD+g/ZCrWlFZI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\ny5dif+2ZSEz6tP0ZtWqe1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DnrjyexbM2OlB6iNcOHODzw500dh6+e+5Gc5cW4r0XYSqhM\naRGlFRPdczSXhoY8Rq7PL9MCSe46C37fu+6667TvNzfUYNkN/rqH12+cbk50rq5bNvoSV+YMhg2+\nCsbLYPITFNm0MpDft6s6xQgvb96D1Zt225XlJARgaHUMN17+We2+ZWNRv9Lj6TC7cQyGVqeeVzoC\nJBeFI5ii8ncAHrP+ngjTAJR0We+lQEQLASwEgEmTJuVzfGVDrgswBCkKjlU6a4VP5gC7q/zqwjvV\nvJfW7b0AgLbuvrQ8yi0dPUiC7HDQ59p2DRaCUfqRtm7vdYRyqisaMuRMOqd0oaW9h/vtasYGwc7R\nzqVSpu4rG4dWVFaQmFSitmLivu9K4bmaaYEkXZ0FL7wMPiD4Gqm99voHvNs0FNJ4UkPp1dc63PKD\nnev+sMFXoQQZaH6enDCtDLxW/gBY1ZwEhAAGkoOedkl1jHDFzHrM+cgJaDg+gcc27nfk9t3/yrt4\n8S977Eal7l5WmeB1XovmNeG5tl2e+TIq7GGKJkS0GsB4zabbhRBPWZ+5HUAcwMPya5rPa5PDhBBL\nASwFgJkzZ+oTyBibfBVg8FNudCtT7rnu7h8qwzvVeaxW8zMMgkH6z+mY3TgG1TEDccvQbJowEn/c\nsg8AkMRgGLkaynnVrHo7ZFMt297e3Yfl6zttg1A9dqHlUKaKd5RWkJhU+HmWPZleQ3cYudoqy82+\nfaYMGTt2bFpja93e62gCL2UQUNwc/nR6HHu1ymH0FNXgI6LFAG4AIDPMvyuEeLZ4I6ocwnjv/FYA\npVdel+fit/I3f0adHZokhBmuIHtGAYMtAH546ek477zzAAB3/foJR7XLP2za7Qj9NMi7R1w6HmS3\nsJBhFf3xJNZt+8CuJur3/UwrU7FXKn8IIeb4bSeiLwOYB+ACIWzPQxeAeuVjdQC63d8tJOVyn+S7\nAIMXuhUCFbeSdXlznTY/Tq7KyXAraZQBwO1PbIQAtBX1mhtqUPPGQzg6sh6/+JfvoKWjx16pI6SG\nkScSSUwcfZy9H/f4L5tRh5UbulI8E5nIIa97K5/3XNRWkBgnvGKSPZleQ/k9tVWWO3Rbcvnll+Po\nCbW49pYlaR3DzHsefC1lkDqGYvzmYeUCy4/0icIK378LIX5a7EFUGn4Gmld+CuBsKuz2roRZ+RMY\nbLxeFTOw+KImh7c6ZhAIg2FTwGC1y0fWmN6opDCbDietynXnf2yc9hyz9SBnWl0rnWOwl7u4ENHn\nAXwbwLlCiMPKpqcBPEJE/wazaMtkAGuLMEQA5XWf5LsAQ6Y0N9Q4VvSvOTM1PHd24xjEDLKjC4QQ\nmGhV1Fyw9HUrPxBYoWln07q9F0dH1mPYgU40N9Rg8/sHbUeXgOldnzp+RForArJC5kqXMpiOHPK6\nt9K959I1DnkFKfrwikn2ZHoNZS6dbJXlpYMcOPHj+OCUObjrhc1pPRvkap5ELaCnErYhfa5wywWv\nwlgsP9InCgYfUwR0nif1AS+r10lBs2pDF1ZaykVVzMCp40fYnm5dnovEPSmn1Y7CivWd5kZrMaV2\n9HFYfPE0tHX3YUVrF5at3YGVG7ocffim1Y6y9ykAXH/2KThwLI4VrV1YvWk3Xt2yN0XQ6Qw2+X4Y\noVUIgcJeqqLznwCGAvg9mY1jW4QQXxNCtBPR4wDehhnqeVMxK3SW032ikz25LsCQCWFW9JsbagYb\nElv5w7Mbx5iVeJWwg4GEs1LoI2t2YNFTbYjXnw1KJtC6vdeRa0cwcwKvOXNS6DDydO8JL4PMaz/p\n7D8ThwSvIDGMP3aFT+grdbZu78UHp8wByLALOYV9NrjlzxUz61McVGp/Uvm5odX5czhKGeXOq9bJ\nFZYf6RMFg+8bRPQlAOsB3CKE6A36ApMd6oNfbQCqPuDV6nXVVQb2HDw2WGAgnsRbXX12RUs/Y8g9\nKdXy6fGEcChOMtxTKhhHR9bbBp+7EMGI46ox4rhq+/P98STuXv2Oo7+VzlOUTtNgP4GSq1An9lIV\nFyGEZwdcIcSdAO4s4HA8Kbf7RBdema8Hdti5GtbAcTckbm6owcoNXY7PGErPq9btvaaxlxQAGRDG\noMypMsjRXHla7ajQYeTp3BN+BpnXfnTvp2s0BsErSEy5kq2OEKZSZ0tHj1kTgQYDu90rd17onPFy\nJQ2AnausJqWH7T+aCToZFSRXWH6kR94NPr+CCQDuBXAHzPvoDgB3wayUp9sPV8LLAek8+FUvy+Lf\ntqdMfIOAT310bEoTYTfuSSmPQa5VRAFnVcxhBzrt73gpJWpT49e27MO6bR84knfdxma6TYN1AiWX\n4XXspWLCwPdJZqQzV4PC3NXr7pYL82fUYcX6TgwkBAwC7vjC6XbUxN2r3xmsQCwEIIS9L3dz5XTy\nGdO5J/wUJ6/9uN8HUsP4g4xGhqlEMtER3HJGrdSZSAq0d/elfGd24xhQMgFhCIBiEAJY8ky71lHk\n3r86v90raZfNqEspYBXGwZ8NOhmVC7lSLrnvuSDvBl9QwQQJET0A4Bmf/XAlvByQyYP/npe2Ip4w\ns3sJpqEHmBPfy9jzK/jiFjJyMs+fYRZJkN/b2nJA+z11nw9fPxt3r34Hr23Z5/A+yXN1r2Lmomlw\nrsPr2EvFhIHvk/RJd67On1HnKLrirpqpK+QCWK1sFp6VEiJ/9QPmdwFTdhIBX5g0YH9fFl7JNJ8x\n7D0RpDh57Ud9X1YxTefZwTBRJ12DIGy/4XTDrd0G4uzGMTAMQtKKAFi+vtPuiawe/+unDuD3u4bg\n3UPwPJ4MKXe3sZL/3HObMKgrxQyzanpT7ajQOXyZGFk6GZWtXCmn3PdcUOwqnROEELusl5cCaCvm\neCqBsA9+vwqcaoNgL2PPqwiA2wjT5e4M/n+Vdmzu926eM8WhJOlCN3UrfkBmTYNlKNZAwgy1YG82\nw0STIHnnVaRqWu0otHT0oHv/EVsRUhud62SgWz7J6AHJx+tGYdFFzrAsnULjlc+Yjac6FwZZpkYj\nw0SVTAoTXf1Aiz0Hlt3g3W842x6+sxvHqN2qEE8IRy0FOd5/+rsrcIF1HrrjOULKoc/zc+cKXjaj\nDpcpzvd0DDzAOxLAD79Ig0zlSjnlvueCYufw/YSIpsNcLd4G4KvFHU75E+bBrxOC6SgLXsVSvIww\nt4EpXz//3x34xMTjMfeMj6V1TkGrmOr4M1aCLOGoxs4zDJN/0m21opvjrdt77ZLn8aSAQYPtYfoH\nkrY3vMogu6qwbHSubvdTaNxhKE0TR2GccQidnYdQX1/vmUudrzBydb+ZGI+8iseUG+kaBKoTpz9u\nFrPzWhl/+PrZ2rYpOlQDMWYQuvcfwaoNXRCKxWcYZNdQUMc7zjiEcYa3LtPS0TMYUo7UNlZ+uYJh\nVzzdrbcyNbJy7TTiUHMnRTX4hBDXFvP4lUrQpNIJQV0FTi90k8xPsHo1Yj7aHwclE1gx7qRQip36\nmbCTPBMB09LRY/cSTCTYa8QwmlRGCgAAIABJREFUhSLTapDulbLUggSmsiOE6cSR3vBEUuCqWfUg\nwG4d48499pr/02pHIWYVmqqOEebPqMO1114KwOwtms555NJTnY3xyKt4TDmRbuGjtp3OPLqg3CJp\nIC5f34krZtbjMiVUXJdPJ6tiLlu7w3Y2xRNm1fQll0zD1PEjzIrASjTT3O//GgDh1z+40eE4Us9x\naLWBYwNJEJkVzt0GoczXE0I4evFlEr7qrsVQTCOLnVROir3Cx+SIXCamZusV8ZpkXvt0CwxZuMCs\naCfSVm7CTvJMrxl7jZgoUUlJ6bkwfFQFB4Cdr7JontkT9LF1O+zPxmKGnbMnQ5zcuce6+S+95kkB\nxAzC4ounaZWssOeRS5nDYU4MYxJWV5A5cOpKWZUBu2ew7nvqPOtPCDyyxmw3JR3aumgn6UxOikFn\n08TRxzkin2Se8bTaUVj8dBv6T5oOALj6gRZtiGlzg9lfVEYl/Or1bfibpvH25/yKVYVxDLm/767F\nUGzZUkpOqnw/y9ngKwNylZiq3mxhvSJ+xVmCclUkboEhCxcc7R8AJZMZKTdB4UtB18xv4rHXiIkK\nlZaUngvDxxE+5SrEcs9LWyF1OgJweXNqgZap40cEtmvZaeX+qV7z1u292F97JoYd6AxVERRwFmfw\nkznpKArssGIYkzDzxp0DRzDzcTe9f9DuGayTu3KeyUgCAeDYQBKPrdvh6XDRGU9eOgtg9vuUaSW6\nyCl5br2H+z2jErxkS1jHkF/unRyHDG29TFPwKooUw4laiGc5G3xlQDoeW68bWXez6cID3PtK5wb1\n8rToBMbU8SPwldt+hGEHOtHc8IWQV0I/xquXvo6BhEB1jLBs4Vm2Jy1siGnYdg0MU2gqbbUmF86W\ndJxP862qeGHko7uiZ5Vh5gWqhaSOWo3XgdScG3UVoTpm9taKJ5zVQXUyORM5/PD1s80cobSvnp5K\nWmVmyoOw88adAxczCE0TR2Hjzj5z9W4gtQcw4Mzje3x9J+JWtc23dx2wZUMsZmDn/iN4ZM0OuwjU\nonlNeK5tF+ZOm+AZFdA/kET7zj7EDLOYCwBUV8c8V+cWzWtKu+DS7MYxdv5yLJZZaozUv/qtMS5v\n7fIsdBMViuVELcSznA2+MiDTSnTqjZzJzZbLG1S3Iji6e01G+1JZuaHLFjb9CYGVVpK13zVr6egZ\nbDI/UP5KNFO6VOJqTS6cLek4nwCnrDs2oC/WoH4mkUhiwaxJqLXCseQ2NUxdzYt2ryIMJMw1AVmk\nQVYH1SkfYeSwziCT1f689huWSltlZsqDsPqLzIHrH0jCMJy5dP0DSSQB/GmrswewRMoZAux+m8mk\nwIJZZi/p5es7scx63yCgKmYAQiCeFFi37QNHPz0p6+UxN+7sQ1XMwHF7NyE2cAS//sGNnvpc7+H+\nzBxlsmiMyMw11NLRY8kyk1JwShbLiVqIZzkbfGWAn8dafRirlejcN7JdlleI0Ddbvm/QW265Jet9\nuCtkydd+16xm+BDb8520XjNMFOHw4tzj5+2WYZqPrduREp7klofu7aayltB6y1s6epBUK/KRmT+o\nVgdVZbZqwIVx+LkNslwqNZW2yszkj0KuFIfVX7xkrOwB/Ket+wLvfXe/TZkPHLf0MWCwhx6QOt/V\ncajHTCSS+NyMyfhsHXxlkVocJgyt23tx9+p3MGCtSiaS6dVSUBcZqmNkO92rYoSd+4945j3mmlz1\nAywEhXiWs8FXJnhNZvVhrFaic+eNmAUGBAxXWd6gY+bzBr3ooouy3sdlM+qwvNUpaCVe16z3cD8M\nq7qeQXBUrWKYqMHhxfmnuaEG5045Eb9/ezcAIJ6EHS2gfsZLHgbJStt7H0+tyCerg0qZnW7bHJ1B\npq4WEFFWTq1KXGVmck+hV4rT0V90Mra5IbUHcFijEQC69x+x9QxJVYxAgGO+Bx3zugs/qR1bprqZ\n+jsIAAYQel7LfL0VrV2IJ8zfcfHF09DW3Yd9B4/h5c178Oha72iFXJLp/VRMJ2q+n+Vs8JU57oex\nrmGwqhAQRFoGTqY3aBjPy+bNmwEAU6dOTXv/6viW3ZDe5GUFhmEYdwGVPQeOOraTx2e9cp+bG2pw\nwtE9wNE9AMIpaM0NNSkNkO95aWtabXO8vP1q5b4lz7Q7wsfSIVMFSV0FcD+TmGiSzxW4YqwUZ6tg\nZ2I0qoYIyX6+FudNHYevnfsR3/25j3nC0T3YvHlPip4U9tzcv6n6OxgEfOqjY1PyE3XfBZDS7kaG\nk/7w0tNxz0tbsXrT7qxqTaRDNvdTuTpR2eArc3QCSU4muT3fBo578ob1vHz1q18FALz88sva/eQL\nDpNjmOhSCDngLsAi82okMYMwYmgV7nlpq29utBu3TFPxyysMCtfyw0ue+VXuS5d0FSR3L0SDwPl/\nESffK3BRd7QGVSRv3d6Le17amlIN3C8f2BACMQJkmtsr7+zF1879SGDBPHVfD931Aww71K2VKX7j\nltvcv6n7d/Ay9h5ZswPft4pMDakyC0u5292ov6N7vzXDh6RcL68xZXKfRf1+KgZs8FUA6sPYazLl\ny8DJVf6IrGCXFCItIZDNsj4rHgwTLQoR9iXzV1QZBZh+eIJZBT2ZFLjv1Q4YBN/c6HwYp5nIa508\nK6ZCJJ8B7vwlzv+LLvlegYuyozVMGyf3dgDa77jn3acnm6HiAkA8oa/46TceceqVOGnT4xmNW/eb\n3vSZjwb+Dq3be21jDzALS+07eGyw3Y1BjkbzgPP3dTvJ1MizXN1nUb6figUbfBWG12TKl4Hjlz8S\nVtHQCZewQiAT4cElxhkmmuRb6dStPMkVvkRSgIiQFM5CC+7caOm51q385YpcyOtiKkTuioMGhc8T\nUmFZXTgK4SAohqM1zD3kJ3d0DiIZQWW3UYg7DTl3Pt+rW/ban31ti77ip9d4YBg4OrI+7XED3r9p\n0O/Q0uFsVQGYDrHLZtT59tuT+1XD0vsHkg5nflALiXRgx70TNvgqjEJ7db3yR9JRNFZt6HIIFyIK\nPW6vXjK6MFOd54lDjBgmOuRbfqkrTwbM/JW50yagrbsPBKCpdpQpHxRDRfVQq/LDsIxDtxIYJYql\nELm9/Znk8HE7iMJSjismYe8hL7mjcxCp22UhJp0hpx5HVt98bcs+baSA33iSiSSGHegM/JxXEZhM\nflO1yBQAxMgMR5WFWtTieEHjIpecVFtI1Awf4kg/yjWV5jBigy9DSvVGCTvBc3V+XsdTY9DV1zrc\nHWDO/9i49Mbk6iWja0rqp6SV0u/LMOVMPpROvxYHc6dNcDiALptR52uoqJ5rWFWPyVoB7N5/BEdP\nqMWwQ92ex89nKGjUyNbY5HYQhaeUV0yC8un87iEvuaNzEKnhmGENueaG1OqbXjlu7vE8dNcih0xx\nn2eQvMzkN21uMIvhrdrQZYe6L1u7I61eoO7wTveiAKAPic0VlegwYoMvA0r9Rgma4Lk+P93xwhzj\ne9/7HgCgZnIdVqzvxEBCoDpG+Nq5Hwl97JaOwV438YTA3avfwbDqmO2RG4gn8VzbLq2Sxom+DBM9\n3DnJ2RhGQS0OvHJcwnjeZVXktu4+rGjtwrK1OxD7+Bdx64xq3+MD+VV01GOXslFZCUUZiGgxgBsA\n7LXe+q4Q4llr220AvgIgAeBbQojnizLIEsBL30jnHgqTB3vznCkA4DDUMmnd4BVp5J6zzQ01qOq5\nDpt7k2jd3gtALzvyMb/dcljtM+g+R6/rL78/dfyIjI3xTKlEhxEbfBlQ7jdKIc5PPYY7vl0yZ84c\n++9lC8/KSDlx54pIT5skZhDmTpvgEMi61hUMw0SLXDimwhh02VbEvOelrYgnZNsbID6m0ff4APIu\nf0vdaQmUZ4ihB/8uhPip+gYRnQZgAYAmALUAVhPRFCFEohgDjDp+tQuyuYfc39/8/kEssuoNDK1O\nvyieLsdNlQs659C/v5lAfzyJZx9swfwZdWnJjiCnT1inkO4cW7f3OlYA/cYVxpjOpUOndXsvuvcf\nQZVBnj0PyxE2+Dzwu9HL3bOonp8MRWrd3pvTB6oaA+6VqPzGG28AAKZPn56xl0oKoiW/bcebXX0O\nY48AXDGzHtecOUnrYWIYJrrkwjGVjxwXt6xyy9MxiR4AH/U9ftDzJdvVuXJxWpZyiGGWXALgUSHE\nMQDvEdFWALMAvF7cYRWPTHW2bO8h+f3W7b1Y9FSb3b6lfyDzoni68eqc5JP+arjtzB6wQkvD6qbp\nVh4NcoS7V/yufqDFzvGrMsziV4lE6ri86inMbhyTF4eOu+XOVbPqMd+jyEy5wQafhqCJUO6eRXl+\nKzd02aFIKzd05dQLLI/hF99+8803A9D3rEqX9u4+x2tZbEEmFxdScSj1UCqGiQKZON50IVH5yHFx\nf1/Nt7nvT91YMOfllG3q8f3GlIvVuXJ3WpYZ3yCiLwFYD+AWIUQvgIkAWpTPdFnvpUBECwEsBIBJ\nkybleajFIZc6W6bP55aOHiTFoEvZMIKLy/n19tON1+0kr44Rksk4QITq6mrMn1GH+TPqPA0o9RhB\nTh+HgemqpBkkc1o6eux2NgCQSAJXnlGHiaOPS8lV9qqnII8T1JMwXdTzSiSSmDj6uIrRw9jg0xDG\n+1nunsXmhhoz/y2R3747YePbs2Hlhi4osgdnnFyD86aOK4rB5fVgYiOwuBDRrQD+FcCJQoh9REQA\nfgbgQgCHAVwnhNhQzDEyTtJ1vPnlkeR7zsljLP9Bt+e2oPckXs+ndGRIuTstSwkiWg1gvGbT7QDu\nBXAHzNpldwC4C8DfwQxQceOub2a+KcRSAEsBYObMmdrPlDq50tmycaaoUUsGEZZcMi3QsPRbQXOv\nmLV09GDRvCY817bLdpInkgIn7NmIqv6D+MW/fMf+vJdBpZ5PkNPHr5JmkC44u3EMqpUqntUx0q6i\nrdrQZddT6I8nsfTVdx31FfIReVDJzi42+DRU8g2hks51CKNsqDHdcvJ7xX63dPRoK9plgvvJOOWk\nETn3GoXFK2en1PNpShkiqgfwNwB2KG/PBTDZ+ncmTMXrzMKPjvEjHWMtbBhj1J0vOrmciaJa7k7L\nUkEIMSf4UwARPQDgGetlFwC1+VodgOwflkUkm3mXK50tm1DndJ0o7hBNrxU0nWGoOslP2Pc2hh3q\n1h7P73yCxqtu11XSDLoWahVPnbHXur0Xy9d3Onqabu85bFc8zWevx0p1drHBp6GSbwiVsNchjLLh\njulesb4TyxaepfVkyX2JU6/ESZsez/o8LptRh+WtgxWkgnrE5JOg2PxSzqcpYf4dwD8BeEp57xIA\nvxFCCAAtRDSaiCYIIXYVZYRM1oTJTS6FYiY6uawr8hC1cTPp45I5lwJos/5+GsAjRPRvMIu2TAaw\ntghDzAnZzrtc6WxhDEc/wzQdJ4p7BS1hVRN3z1+3fqD2qZvdOAa3fPnHoc/H3eohaLzq9nTrHATt\nW1ZQV5G9DN3tLXJNpTq72ODzoFJvCDdhrkMYg8Ud0z2QEJ6fs1skGAaOjqxHtkhvUxQMeL/Y/Epf\nUS4GRHQxgJ1CiDfNKE6biQDUbrYyRybF4KuEHJlcUczVMzn3/HKTS8X54pbLHJVStvyEiKbD1IW3\nAfgqAAgh2onocQBvA4gDuKmUK3TmYt7lQmcLMhzDOrfTrWzpt4Kmc1QB8IxSCup3l41RnUtZ6D4v\nENlFXfJp7FUybPAxWRNG2dDFdHt9blAIxHDzNf8jJ2NMV1jlUjHVFYpQ98kryvklIEfmuwA+q/ua\n5r2KzZHJBVFYPWtuqMEqq1+Uzpueb8Pphz/8oee2bGQOy5DyRAhxrc+2OwHcWcDh5I0oOSwyyZ+V\npCvjwqygBTmqVJnil6cctSgAt8wCwPIrz7DBx2RNGGUjTEx32H3lm1wqpmH3xSvK+cMrR4aITgdw\nCgC5ulcHYAMRzUIZ5sgUmyisnrnzRmKx1BLt+ZQ/n/zkJz3Hla3MYRnClCpReO6HIcgwTUfGBTmC\nVZobvIvoqTLF7/hqURkiQs3wIVldi1w4xXXO73wfs5Jhg4/JCWGUjbAKifzcn//8Z/x5p7eSlC9y\npZi2bu/F3avfKbqSy+gRQmwEME6+JqJtAGZaVTqfhlkO/VGYxVr6OH8vO6LgxVfzRgjA5c2pjqd0\nDKd0FZA///nPAFJlWhSMYYYpJqXgsAgyTMPKuEwcPF77/vOf/4x3Pojjw+NrUTN8iG+/wUXzmvD9\nJzcinhRY/HQbpo4fkbFuU+hojShEiJQ6bPAxkeW73/0ugNz04UuHXCimUjjJEsMG5a/qFJMXnoXZ\nkmErzLYMf1vc4ZQ+UfDiu+f2/CwKOGWigHjJtEIbw+wpZ5jMCFqJCyPjMnHweO37H3/4n9h96pWg\nqoOBDdLbuvuQsMIb+hMCKzd0ZTT/i+GgYqdY9rDBxzAucqGYSuEkSwznu+oUkz1CiJOVvwWAm4o3\nmvKk2F78XBqduVRACmkMs6ecYfJHGBmXqYNHt++jI+shjBiEUsXTq6CLOzFdl6gehmJEa0QhQqTU\nYYOPiRSq57mYZKuYuoUTG3sMEw1yZXTmWgEplDHMnnKGKS65dPAMO9AJSiZgVBmBciiXLarmz6jz\nrceQa6IQIVLqsMHHRAa353l0jhqvFwMWTgwTLXIdxliqc5w95QxTfHJVOXzYoW6ctOlxXHvLklCt\nIHQtqtKRjW49LZuw+HSPXewIkVKnIAYfEV0BYDGAUwHMEkKsV7bdBuArABIAviWEeL4QY2Kih9vz\nfHRkfckafMBgxamWjh7Ha4Zh8odOgchXGGMmCsjRE2odzY8LTakaqgzjplJyUYPk17BD3Z5hnG7c\nMitd2egXIZDu78Hh5YWlUCt8bQAuA3C/+iYRnQZgAYAmALUAVhPRlFJuIMpkjtvz/J2/uwwfG3t1\nsYeVMSzMGKaweM25qIQxfu17P8ail3pw1wubiyoT2FPOlDrFfL4W2tD0k19333133vbtpnV7L3bu\nP4KqmGE3SZcRApn8Hrpjy/fL3YgvBgUx+IQQmwDA6nWlcgmAR4UQxwC8R0RbAcwC8HohxsVEi3Lz\nPEdFyWSYSsFrzkUljLEnNgbx5D6WCQyTJcV6vmZraLZu7w3sR+ymZvgQGEQARIr8mj59egZnMUgm\nrSSqDMKCWZNwmTL+TH4P97Frhg/RXttKWcnNN8XO4ZsIoEV53WW9xxSQKE0m1fO8evVqAMCcOdq+\n2QXHfZ2CrltUlEyGqRS85lwYZ1Ih5GBVTwdiZFbHY5nAMJlTrOdrNoZm6/ZeXP2AadAAwIr1nVi2\n8Czf77du78WSZ9qRSArEDMKieU2Oz2erJ+lko04WquedSArUjj7OMY5Mfg/3sb1W/DhSKjfkzOAj\notUAxms23S6EeMrra5r3hMf+FwJYCACTJk3KaIxMKlEOO/znf/5nANEw+NzXadG8Jix5pt33upXb\niiXDRB33nAPgyJfzC1UqhBxc9p8/xJgTakMVWIgiUXIOMpVNsZ6vYQwbr3nS0tGDAcvYA4CBhAg0\nGNUWT0II9B7ud2zPhZ6kykYvWRh03pn+Hm657D4GR0rljpwZfEKITO62LgD1yus6ANoqHUKIpQCW\nAsDMmTO1RiGTPjyZBvFTZtzX6bm2XaGuG+fKMExhkXMuHSOukHIwnQILUSLKzkGmMinG8zVoRQzw\nXpGa3TgG1VWGvcIXixF27j+C1u29nudR6JVML1kYxqDL9vfwOgZHSuWGYod0Pg3gESL6N5hFWyYD\nWFvcIVUWHHZoEqTMuK/T3GkTsG7bBxV/3RgmqqRjxLEcDIadg0yloxp20mmja1PgNU9kW4RVG7qw\n9+AxvLx5Dx5duwOrNnR5OlAKvZIpZWH/QBJEhJrhQxxjyffx3cfgSKncUai2DJcC+DmAEwH8joje\nEEJ8TgjRTkSPA3gbQBzATVyhs7DwZDIJUmZ012nq+BEVf90YJqqkY8SxHAyGjWKmkglbAVjAf0VK\nGjT3vLQVqzftDuVAKeRKZnNDDRbNa8Kip9qQFAJLnmnH1PEjiioTOVIqNxSqSucTAJ7w2HYngDsL\nMQ5GD0+mcMqMzvNU6deNYaJKukYcz2d/2ChmKpmwFYDnz6jD/Bl1gfMkyg6U3sP9SArBq/llRrFD\nOhnGk/vvvz/4Qznkshl1IOt/Fm4MU/pEzYgrtEzLNVG7ngxTKNKtABzGwZQLB0o+ZEqUjVEmc9jg\nYyLL1KlTC3Icd6jGZTPqCnJchmEqi0LJNIZhcoufgZapIyQXDpR8yBRezS9P2OBjIstvf/tbAMBF\nF13k+ZlclAnPRzECLl/OMIybMDKNYZho4mWgFfN5ny+Zwqv55QcbfExkueuuuwB4C7JclQnPdfgC\nly9nGEZHkEzLB+x8Ypj8UeznfTYyJYqyIYpjKhfY4GNKllytzOU6fIHLlzMMEwWKrYwyTLlTqs/7\nsLKhkAYYy6v8wgYfU7LkcmUul+ELnPDMMEwUKFVllGFKhVJ93oeRDYU2wFhe5Rc2+JiSJaqJxVEd\nF8MwlUWpKqMMUyqU6vM+jGwotAHG8iq/sMHHlDRRTSyO6rgYhqkcSlUZZZhSohSf92FkQ6ENMJZX\n+YUNPiayPPTQQ8UeAsMwTM4ohkwrRWWUYRg97py6bGRKkGwohgHG8ip/sMHHRJb6+vpiD4FhGCZn\nsExjGCZT9Dl1wTIlm8IrbICVD2zwMZHlscceAwBcddVVWe2Hy/wyfhDRNwF8A0AcwO+EEP9kvX8b\ngK8ASAD4lhDi+eKNkikHciXTGIapPHQ5dVtbXgDgLVO48iUjYYOPiSz33nsvgOyUIxZ2jB9E9BkA\nlwD4uBDiGBGNs94/DcACAE0AagGsJqIpQohE8UbLlDq5kGkMw1QW0mldM3xISk7dLT/wlyn5LrzC\nDvXSgQ0+pqzhMr9MAF8H8CMhxDEAEELssd6/BMCj1vvvEdFWALMAvF6cYTIMwzCVhttpvWheE3oP\n94c2sPJZeIUd6qUFG3xMWcNlfpkApgA4h4juBHAUwK1CiHUAJgJoUT7XZb2XAhEtBLAQACZNmpTf\n0TIMwzAVg9tp3Xu4Hzd95qOhv5/PwivsUC8t2OBjyhou88sQ0WoA4zWbbocpA2sAzAZwBoDHiagR\nAGk+L3T7F0IsBbAUAGbOnKn9DMMwDFNcSjH8MBdO63wVXmGHemnBBh9TcqQrtLnKVGUjhJjjtY2I\nvg5glRBCAFhLREkAY2Gu6Knlz+oAdOd1oAzDMExeKNXwwyg7raM8NiYVNviYyLJixYqU90pVaLsp\nRU9jmfIkgPMBvExEUwAMAbAPwNMAHiGif4NZtGUygLVFGyVTFuhkGsMw+SdM+GFUn8t+TutiyxR2\nqJcObPAxkWXs2LEp75VDzHi5GK1lwi8B/JKI2gD0A/iytdrXTkSPA3gbZruGm7hCJ5MtOpnGMEz+\nCQo/LNXnMssUJixs8DGR5Ve/+hUA4LrrrrPfK4eY8XIwWssFIUQ/gP/pse1OAHcWdkRMOaOTaQzD\n5J+g8MNSfS6zTGHCwgYfE1l0gqwcYsbLwWhlGCZ9WDljmOLhF35Yqs/lfMmUqIa3MpnDBh9TcpR6\nzHg5GK0MwzAMUy7wc3mQMOGtbBCWHmzwMUwRKHWjlWEYhmHKiXJ4LufCEAsKb80235GNxeLABh/D\nMAzDMAzDlDC5KjwTFN6aTb5jqRbHKQfY4GMYhmEYhmGYEiZXhWeCwluzyXcs1eI45QAbfExkefbZ\nZ4s9BIZhmJzBMo1xQ0RXAFgM4FQAs4QQ65VttwH4CoAEgG8JIZ633v88gJ8BiAF4UAjxo0KPm4kG\nqkzJZeEZv/DWbPIdS7U4TjnABh8TWYYPH17sITAMw+QMlmmMhjYAlwG4X32TiE4DsABAE4BaAKuJ\naIq1+R4AfwOgC8A6InpaCPF24YbMRAVVphSy8Eym+Y5cHKd4sMHHRJb/+q//AgDceOONRR4JwzBM\n9rBMY9wIITYBABG5N10C4FEhxDEA7xHRVgCzrG1bhRAd1vcetT7LBl8F4pYppVB4phTGWI4YhTgI\nEV1BRO1ElCSimcr7JxPRESJ6w/p3XyHGw5QGjz/+OB5//PFiD4NhmAqkdXsv7nlpK1q39+ZsnyzT\nmDSYCKBTed1lvef1vhYiWkhE64lo/d69e/MyUKZ4sExhwlKoFT5tyILFu0KI6QUaB8MwDMP4wpXk\nmFxCRKsBjNdsul0I8ZTX1zTvCegd9cLr2EKIpQCWAsDMmTM9P8dEF25jwOSCghh8PiELDMMwDBMp\nuJIck0uEEHMy+FoXgHrldR2Abutvr/eZMoOdT0yuKEhIZwCnENF/E9ErRHSO14c4LIFhGIYpBLKS\nXIzAleSYYvE0gAVENJSITgEwGcBaAOsATCaiU4hoCMzCLk8XcZxMHtE5nxgmE3K2wpdhyMIuAJOE\nED1E1AzgSSJqEkIccH+QwxIYhmGYQsCV5JhCQUSXAvg5gBMB/I6I3hBCfE4I0U5Ej8MsxhIHcJMQ\nImF95xsAnofZluGXQoj2Ig2fyTPcxoDJFSRE4WwnInoZwK1qn5l0tktmzpwp1q/3/QjDMCUGEbUK\nIWYGfzK6sGximPKjHGQTwPKpVOEcPsaPsPKpqG0ZiOhEAB8IIRJE1AgzZKGjmGNiGIZhGIZhmCjA\nbQyYXFCotgyXElEXgLNghiw8b236NIC3iOhNACsAfE0I8UEhxsQwDMMwDMMwDFPuFKpK5xMAntC8\nvxLAykKMgWEYhmEYhmEYptKIQpVOhmEYhmEYhmEYJg+wwccwDMMwDMMwDFOmsMHHMAzDMAzDMAxT\nprDBxzAMwzAMwzAMU6awwccwTMVCRNOJqIWI3iCi9UQ0y3qfiOg/iGgrEb1FRDOKPVaGYRiGYZhM\nYIOPYZhK5icAfiCEmA5gkfUaAObC7As6GcBCAPcWZ3gMwzAMwzDZwQYfwzCVjAAw0vp7FIBu6+9L\nAPxGmLQAGE1EE4oxQIbUBhw6AAAJaUlEQVRhGIZhmGwoSB++XNPa2rqPiLan+bWxAPblYzxZELUx\nRW08QPTGFLXxANEbU6bjacj1QEJwM4DnieinMB1gn7TenwigU/lcl/XeLvcOiGghzFVAADhERJvT\nHEMxfz8+Nh+bjx1MMWRTzslQdwoias+fTCj1c+DxF59inkMo+VSSB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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x19c9c044dd8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Exercise 4\n", | |
| "\n", | |
| "variances = [0.5,1,2]\n", | |
| "num_steps = [20,400,1600]\n", | |
| "sample_x = [] # to plot a single sample\n", | |
| "sample_y = [] # to plot a single sample\n", | |
| "num_trials = 500 #per configuration of variance, step size\n", | |
| "\n", | |
| "plt.figure(figsize=(15,15))\n", | |
| "plot_index = 1\n", | |
| "for var in variances:\n", | |
| " for steps in num_steps:\n", | |
| " final_x = [] # to hold final positions\n", | |
| " final_y = [] \n", | |
| " for i in range(num_trials):\n", | |
| " pos = [0,0]\n", | |
| " for j in range(steps):\n", | |
| " angle = np.random.uniform(0,360) # choose direction\n", | |
| " step = np.random.normal(0,np.sqrt(var)) # choose step size\n", | |
| " dx = step*np.cos(angle) # find change in x position\n", | |
| " dy = step*np.sin(angle) # find change in y position\n", | |
| "\n", | |
| " pos[0]+=dx # move\n", | |
| " pos[1]+=dy\n", | |
| "\n", | |
| " if i==0 and var == 1 and steps == 1600: # collect all positions of 1 configuration\n", | |
| " sample_x.append(pos[0])\n", | |
| " sample_y.append(pos[1])\n", | |
| "\n", | |
| " final_x.append(pos[0]) # add final x\n", | |
| " final_y.append(pos[1]) # add final y\n", | |
| " \n", | |
| " plt.subplot(3,3,plot_index)\n", | |
| " plt.hlines(0, xmin=min(final_x)-2, xmax=max(final_x)+2, linestyle='dashed') # x-axis\n", | |
| " plt.vlines(0, ymin=min(final_y)-2, ymax=max(final_y)+2, linestyle='dashed') # y-axis\n", | |
| " plt.plot(final_x, final_y, '.')\n", | |
| " plt.title('Step size (variance): {}, Steps: {}'.format(var,steps))\n", | |
| " plot_index+=1\n", | |
| "\n", | |
| " \n", | |
| "plt.show()\n", | |
| "# the overall shape remains fairly similar, what changes is the spread with both variance \n", | |
| "# and step size (need to look at the axes of the plots )" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 43, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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5SmBziaydtwo9W7rg72rLyqOJrPhfb0a292LjKbkCWWRyvs6W4e1oTVd/Zzr4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\nEolE0kz4f/12sfx1fxLmAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x19c9d6a7710>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# PLotting a sample\n", | |
| "plt.figure()\n", | |
| "plt.hlines(0, xmin=min(sample_x)-2, xmax=max(sample_x)+2, linestyle='dashed')\n", | |
| "plt.vlines(0, ymin=min(sample_y)-2, ymax=max(sample_y)+2, linestyle='dashed')\n", | |
| "plt.plot(sample_x, sample_y, '-')\n", | |
| "plt.title('Sample path, variance 1, steps 1600')\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 87, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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lx1DvZqmUUkqp/YwxvwQGuyPYqSNZFqWUUumTiboASimllFJKKaW8086cUkop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l+Na61vPll5Xk3mpk2bBsiflxDBJ7EqwsTLeLWTH109M+d1ovLCHXfcAciJL8JDYlaEicSrLe3A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\nZ6Nz2aknn9jm4MOwPYrCDUjSVl0bZ8k77R863pMDUSL95dZbb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SG3X3hqzuTFa6+9xmuv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NE69v5devbGk3Pdn6+P1HX2sZUhzTle25q+esbtvPBiJH1x9OoD2I1MfVNMXtj05mOy7dnKyP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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x19c9c36d860>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Exercise 9a\n", | |
| "\n", | |
| "\n", | |
| "num_steps = [50,100,500,1000]\n", | |
| "num_trials = 500\n", | |
| "square = [[13,7],[14,7],[14,8],[13,8]]\n", | |
| "\n", | |
| "plt.figure(figsize=(15,15))\n", | |
| "plot_index = 1\n", | |
| "\n", | |
| "for steps in num_steps:\n", | |
| " final_x = []\n", | |
| " final_y = []\n", | |
| " hole=0\n", | |
| " absorbed=0\n", | |
| " for i in range(num_trials):\n", | |
| " pos = [0,0]\n", | |
| " for j in range(steps):\n", | |
| " dx, dy = np.random.choice([-1,1],size=2)\n", | |
| " pos[0]+=dx\n", | |
| " pos[1]+=dy\n", | |
| " if pos in square: # reaching the boundries already means absorption\n", | |
| " hole +=1\n", | |
| " absorbed +=1\n", | |
| " break\n", | |
| " if pos[0] in [-20,20] or pos[1] in [-20,20]: # reached square boundaries\n", | |
| " absorbed +=1\n", | |
| " break\n", | |
| " final_x.append(pos[0])\n", | |
| " final_y.append(pos[1])\n", | |
| "\n", | |
| " plt.subplot(2,2,plot_index)\n", | |
| " plt.hlines([-20,0,20], xmin=-20, xmax=20, linestyle='dashed')\n", | |
| " plt.vlines([-20,0,20], ymin=-20, ymax=20, linestyle='dashed')\n", | |
| " plt.hlines([7,8], xmin=13, xmax=14, linestyle='solid', color='red')\n", | |
| " plt.vlines([13,14], ymin=7, ymax=8, linestyle='solid', color='red')\n", | |
| " plt.plot([x+np.random.uniform(-0.2,0.2) for x in final_x], \n", | |
| " [y+np.random.uniform(-0.2,0.2) for y in final_y], '.') \n", | |
| " # added some random noise to differentiate trials that ended on the same position\n", | |
| " \n", | |
| " plt.title('Steps: {}, Hole: {}, Total absored: {}'.format(\n", | |
| " steps, hole/num_trials,absorbed/num_trials))\n", | |
| " plot_index+=1\n", | |
| "\n", | |
| "plt.show()\n", | |
| "# as step size increased, by 1000, all steps eventually absorb (demonstrates recurrencce)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.6.8" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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