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@whitead
Last active August 29, 2015 14:11
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MSD Notebook
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import IPython\n",
"print IPython.sys_info()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"{'codename': 'An Afternoon Hack',\n",
" 'commit_hash': '9c4f59d',\n",
" 'commit_source': 'installation',\n",
" 'default_encoding': 'UTF-8',\n",
" 'ipython_path': '/usr/lib/python2.7/dist-packages/IPython',\n",
" 'ipython_version': '1.2.1',\n",
" 'os_name': 'posix',\n",
" 'platform': 'Linux-3.2.0-4-amd64-x86_64-with-debian-7.8',\n",
" 'sys_executable': '/usr/bin/python',\n",
" 'sys_platform': 'linux2',\n",
" 'sys_version': '2.7.3 (default, Mar 13 2014, 11:03:55) \\n[GCC 4.7.2]'}\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"path = '11.04.14_Particle Tracking PEG_1.csv'\n",
"data = np.loadtxt(open(path,'r'),delimiter=\",\")\n",
"print 'Read in {} rows and {} columns'.format(*np.shape(data))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Read in 529 rows and 12 columns\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"xrow = 3\n",
"yrow = xrow + 1\n",
"traj_index = 1\n",
"print 'The first x,y pair should be {} {} and the first trajectory label is {}'.format(data[0,xrow], data[0,yrow], data[0, traj_index])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The first x,y pair should be 86.819 778.682 and the first trajectory label is 1.0\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for traj_i in xrange(int(np.min(data[:,traj_index])), int(np.max(data[:,traj_index])) + 1):\n",
" tdata = data[data[:,traj_index] == traj_i,:]\n",
" tdata = tdata[:,(xrow, yrow)]\n",
" n = np.shape(tdata)[0]\n",
" print 'Trajectory {} has {} frames'.format(traj_i,n)\n",
" raw_shift = tdata[1:,:] - tdata[0,:]\n",
" raw_msd = np.sum(raw_shift**2, axis=1)\n",
" plt.plot(range(1,n), raw_msd)\n",
" plt.title('Raw MSD for Traj {}'.format(traj_i))\n",
" plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 1 has 46 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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OHnQ9Pw4wkJPnMZATOXDggOv5cUDWWykv53or5DkM5EQOuNsjNxi43gp5FgM5kQPulB6a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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe64c184350>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 2 has 47 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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igK1sYmTYAPDMM8C+fVXLItaMEAEcOMMm8rBFwLZ3FLCVKyeH/dsFBlp/Lm9v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\nggI2IYQoBAVsQghRiP8PqjqEnXZVUCYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe64c2c9150>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 3 has 47 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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oZQy5XrNmYgKt77+3f1/meuQA6+TOcOEC8Kc/Af/4B/DCC8Af/lB/WOGtW8C0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\n",
"text": [
"<matplotlib.figure.Figure at 0x1c755d0>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 4 has 47 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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qqC3iJ07Q5BFLayEggLJAKaurW2JrWTZbWNopRhZxueWFAF3jFi0om7ZGytOY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\n2EGVKQzD6AdZIi4IAh566CE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"text": [
"<matplotlib.figure.Figure at 0x1c5ff10>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 5 has 47 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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86VTAIwKvLRaLYwcPMGKEducaNkwtpLJYPGtc5m8uXlS/a+5sqTd0qJp/O3VK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\n5Sh/B4iKgrNn4eJF948vq1j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"text": [
"<matplotlib.figure.Figure at 0x2ad6710>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 6 has 12 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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f27hxI8aOHQsAGDt2LNavX69EaTYr77WFh4fD5c997kJDQ3HhwoVK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\nhjgRkYYxxImINIwhTkSkYQxxIiIN+3/SfOBwtwmstgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x21f61d0>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 7 has 37 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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0k+8ZPChBTUtT9706W2nrVnjzTVi61Fh95D0l2AU+L6/2Kpa0RgTeAPgzg/eV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\nBMGk/H+41Wcr+54KbAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2b4e110>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 8 has 47 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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6rcFS63RGEY7UGTmwqGsIuaLesSNw+rT6/XEVKQtm5Upg2rSW1ZucQa71Ang/\nUjcvESDCkTojh4AR9eZmYNYsbc/IkyvqgLxo1VvYE/WGBuDNN4GUFGDDBufPK9d6AdQfKAXsR+r2\n7BeO1Bk5BIyol5UBy5f7doTqLs6Iui9jT9Q3bgRuvBF48UXgvfecP++lS44zX0SUjNTt2S/Oeupd\nu1IhNnHhcIaxRcCI+pkz9PPAAe/2Q020LurLltHT1ogRwNmzVL/GGfwlUrfnqYeG0u9XyRIGjPYI\nGFEvKqKfP/zg1W6oipZFff9++mLOzKQ645MmAe+/79x55eSoiygh6leukGVkrxSyrQlIdXX0e7QX\n3bOvzjgioEQ9Lk67kbqcWur+gi1RX74cmDGjZfm9KVPIgrGq+iyJMwOlXbq4L+rWC05bI05AKi1t\n2Xf2LEXwQXY+meyrM44IKFGfMEG7oi6nlrq/YC3qFy4A//0v8Mc/tuxLTaXB3m++kX9eT9svUumM\nItYWjD3rRYQjdcYRASPqZ84Aw4dTNKvF8qVasV6A1qL+1lvAxImW0+Z1upZoXS6eHiiVSmcUsR4s\ntTdIKsKROuOIgBH1oiKgd28gOVmbvrpWRV1MY3ziidbtJk8GPv4YqK+Xd15nInVxZmtjY+tj165R\n2eKvv5Y+h9QgqYh1pG4vR12EI3XGEQEh6s3NLRFQcrI2LRitivp//wv06UO56db07AkkJABbtsg7\nrzMDpcHBND5h7e0LAvCnPwF79gCbNkmfQyqdUcTZSD0qiiN1RpqAEPXycppF2b49iQOLum9jLurL\nltmO0kWcsWCcGSgFbFswS5YAhw7R5CdH6wO7Eqk78tSjozlSZ6QJCFE3j35SUth+8XVEUd+/n7JB\nbCyNa+Lee4Evv6T37whn7Begtah//jnw+utATg5gMFCevNR1XY3UHdkvHKkzUgSEqBcVtXxQEhPp\nwyjXh/UXLl/WnqgvXw489lhLGqO9tiNHAp9+6vi8zgyUApaifugQ1Zz57DMS4jZtgLQ0YNcu+6+X\nG6mLol5fT4IttW47D5Qyjgg4UW/XjgZMjx71Zo+UR0uReufO9H42bgT+8AfH7adOBd59V7pNczMN\nfDpzj0RRv3ABGD+eovS0tJbjGRnAjh32Xy8npTEyktJRr1whcY+Oppmj9ujShb6cbA3gMgwgQ9Qf\nffRRREVFISkpyeZxo9GITp06ITU1FampqViwYIHinXQX60daLfrqWhL1kBAa/7BOY7THmDHA4cNk\n1dijuhqaGXzaAAAbjUlEQVTo0IEGQOVy/fVkofzud8Dvf0//zDEY7PvqTU30ZWC94LQ15isgORok\nBejeREZSDRiGsYVDUX/kkUeQl5cn2SYjIwMFBQUoKCjAs88+q1jnlMJ68EmLvrqWRB0A+vWjOi9y\nuO468tY/+MB+G2cHSQES9UWLqJDWP//Z+viQIcDx47Zrv1+8SNeTirpFxMFSR366CKc1MlI4FPVh\nw4YhwsGnQXBmrrYXMLdfAG2mNWpN1PPzgQED5LefMoUsGHt/is4OkgK0mEhcHLBune1p+9ddB9xy\ni21fXc7EIxFnInWAfXVGGokhKHnodDrs2bMHycnJ0Ov1WLJkCRISElq1mzdvnun/BoMBBoPB3UvL\nQhBaf1hEURcE+3U5/A2tibqzv5ehQ2llowMHqISANc4OkgI0uen3v5e2bAwG8tXHjrXcL2eQVESM\n1IuK6H04giN17WI0GmF0lCvrALdFfeDAgSguLkZYWBi2bNmCzMxMnLBRE9Vc1D3JhQtAWBgQHt6y\nLyqKBkzPnpUXGfkDWhN1ZwkKAh5+GHj6aZoUZL0IiCuRur2iWuZkZAB/+1vr/XLSGUViYujL6MwZ\nqj7pCI7UtYt1wDt//nynz+F29kt4eDjCwsIAAGPGjEFDQwMu+VBxFXuTObRWLiDQRR0AnnmGvrzv\nuYdK2prjzGxSZ0hLA44cAWpqLPc7G6mL9gt76oy7uC3q5eXlJk89Pz8fgiAgUo1Pj4tY++kiWsuA\nYVGnQckPPiBhz8y0FHZXBkrl0LYtMHgwsHu35X5nI/UzZ0jYb7jBcXuO1BkpHIr6pEmTMHToUPz4\n44+IjY3F6tWrkZ2djezsbADAJ598gqSkJKSkpGD27NlYv3696p12hkAQdS3VUneX0FBaPCMignLL\n6+povyv2i1xspTY6G6kfO0b9k1M6mSN1RgqHnvqHH34oeXzmzJmYOXOmYh1SmjNngP79W+9PSaHH\ndS3wyy/k/2qhlroShIRQJkxWFgn7pk0Uqfftq871MjJa/y3JmXgkEhlJM1Tlju9wpM5IofkZpfY8\n9bg4+mBcvuzxLikOWy+tCQmhVMToaGDcOFpdSK1I/dZbqYyA+bJ0zqQ0ihOQ5PjpAEfqjDQBIeq2\nPizBwcDNNwMHD3q6R8rDom6b4GDgnXdIMPPy1BkoBSiTauBAKscr4oz9ApAFIzdSv/56CkYaGpzr\nJxMYaFrUbeWom6MVX51F3T7BwcDq1cBLL9muya4U5r56bS2VCejYUf7rb7xRvj0UHEzlE37+2dle\nMoGApkW9ooIGzuwNILqT1lhXRzVBfMHbZFGXJjiYcsnVTMoyL+7laMFpWyxbRnn2cmFfnbGHpkXd\nnvUi4k6k/vrrwObNwK9JQF6FRd37/OY3FCBcueJcOqNIWJi8OjEi7Ksz9ghoUU9KohK8znqT5eXA\nv/4FfPIJsHIlrVnpTVjUvU9YGAUJe/Y476e7AkfqjD00LeqOZuh16EADVD/+6Nx5/+//6FF5/Hga\nbP3oI3d66T4s6r6BWAfGmXRGV+FInbGHpkXd0XqPgPO++sGDlPcsVhiePZusGG8WqmRR9w0yMmiw\n1Jl0RlfhSJ2xh+ZF3VHurzO+uiAAc+dSpC6K6JgxVPfDepq4J2FR9w2GDqW/pVOn1Bd1jtQZe/is\nqJ8/Tyle7kTASot6bi7V55g+vWVfUBAt5rB0qbxzCILyUT2Lum/Qvj09+eXmesZ+4UidsYXPivrh\nw8DJk8Dp0669XsxRdyTq5rXVpWhooCh9yZLWWQpZWcC2bXQ9KZqbaYUepasQs6j7DhkZ9OTmCfuF\nI3XGFj4r6seO0c/8fNdeX1lJecKOxK5HD/pZVibdLjubBlWtF0MAqCpgVhbwxhvS51i8GCgsBN58\ns6XQlBKwqPsOYilsjtT9H29ntbmKz4r68eOAXu+6qMuxXgASfkcWTGUlrVH56qv2J5Q88QTNXLxy\nxfbxL78EVqwAtmyhJdA2bHDcN7mwqPsOQ4dSWYKuXdW9TmQkzVz1V+HxdV55Rd0ZyGri06I+ZYrr\noi53wQHAsagvWABMmEB57fbo3RsYNoyKSNnqy0MPUa1vvR54/HFg+XLlvHUWdd+hQwdaUcuZiUSu\nEBREXxxcKsAx58/TQuByefddCsBKSqi6p7/h06I+eTKJrSuFi+SkM4rccgv9Eh94AHjqKeDf/6YC\nUMePk7e/di3wwguOz/PkkzTdu7m5Zd8vv5CP/pe/tDya33UXCfG+fc6+q9ZwLXXfw1Pr3rKvLo//\n+z8K3Pbvd9w2Lw/461/pZ2qqvNf4Gj4p6pcvk1AlJtJKMEeOOH8OufYLANx3H/DZZ7RaTqdO9Iv8\n17+oZOugQcA//iFv4Csjg9bG/PLLln2zZtGXy9y5LfuCgoCZM+mLxF24lnrgwr66PE6cACZOBEaP\nBj791H67/Hxg6lTSgvh4qrz5/fee66dSuL3wtBr8+CPQrx+J1ZAhdLOd9beKikhk5aDTUU3sW29t\nfUwQ5EdeOh1F60uXUjS+ejWwcyf13/ocjzxCPn15OX04XYWtl8CFI3V5FBa2LJoyYQI9gT/zjOVn\n8sQJOrZ6NY2LABTQff65d/rsDj4ZqR8/Tt+UQIuoO4sznroUzj5KT5pEkf4HH5CV89lnlB1jTUQE\nPSG8/bZ7/WNRD1w4UndMbS19RmJiKPLetw/YuJEicnEN27IyCsIWLKCnc5FBg/wzUvdZUReXoHNV\n1J3x1JWkbVuanDR5MqUuil9Otpg5k/z7xkbXr8eiHrj4c6S+datnlpP86SeqVR/0q9L16EH1eerr\ngeHDKUIfMwZ49FFg2jTL1/brRwPRlZXq91NJJEX90UcfRVRUFJIk0j5mzZqFvn37Ijk5GQUFBYp0\n6tixFlEfMIB+MeZLhTmiqooWKVCzfrYUs2dTpH7ffdLtkpMpa2bTJtevxaIeuPhzpP7VV2RNqk1h\nYevFR8LCgPXryWOPjwfS02nczJrgYPqM+ttgqaSoP/LII8jLy7N7PDc3FydPnkRhYSFWrVqFGTNm\nKNIp80i9TRtKJXTmxoqDpJ7KQrAmMpJsGDk8/rh7A6Ys6oFLdDStveqPFBRQyqDaFBbSesTWBAXR\nzO6CAhoDs6cVgwZpTNSHDRuGCInVenNycpCVlQUASEtLQ1VVFcrdDB0aGqg0gPm3a1qacxaMUn66\nJ7jnHnoEPHzYtddXVLCoByqDBtHfjb/ZA4JAYlpaapn+qwa2InVzBgygiNwe/uiru5X9UlpaitjY\nWNN2TEwMSkpKEGUjnWOeWcETg8EAg5i0bcWpUzSoYZ6iN2SIcxaFt/x0VwgNJQ/+jTdowQ1nqKyk\n1Mtly9TpG+PbhIcDI0fSZ8OZpfC8TWkpRcYREWQfqVlS4eRJGhR1lUGDKEvNUxiNRhjFxW5dxO2U\nRsFqWqTOznPMPJlVrMz9dJEhQ5wbVHEmR90X+NOfgIQEYNEi+VG3IFBa5IQJliP2TGBx//3AO+/4\nl6jv308TeyoqyIJRU9QdReqO6N+fsmMuX/bMBD/rgHf+/PlOn8Ot7Be9Xo/i4mLTdklJCfR6vTun\ntPDTReLiqPKd3JF+f7JfAPJG77qLZq7K5fXXgXPngJdfVq9fjO9z9920hF5Fhbd7Ip+CAhL1mBjA\nTD4Up6aGxFgs2ucK/jhY6paojx8/Hut+LXayd+9edO7c2ab14gzmOeoiOh1N5f/2W3nn8Cf7ReTx\nx8mCkeMx7ttHUf2GDTSQzAQuHToAd95JuddyaGoCbruNPmfeoqCAcsZjY9UV9ZMngT59WtIZXcXf\nfHXJtztp0iQMHToUP/74I2JjY7F69WpkZ2cjOzsbADB27FjceOONiIuLw/Tp0/Hmm2+63SFbkTrg\nXL66v9kvAK1GHxND655KlQG+dIlq1KxaRemQDHP//fLXyf38c4rsJZLaVEeM1GNj1c2AOXnSPetF\nxN9EXSdYm+JqXESna+W920IQyFM+dQq4/nrLY59/Tql/X3whfY7qavLoamu9l9LoKvX1NKstO5uq\nON5/v+VxQSAPPS6OygAzDABcvUoWw8mTQJcu0m0NhpZxG7nRvZJUVFAwUlVFueI5OfRTDRYupOu4\na1EeOkS1Y06cUKZfziBXO83xqRml58+TnWAt6ECL/eLo/Yl+ur8JOkDv/YUX6Avsueco193cK331\nVcoWWLzYe31kfI+wMBqT+ewz6XYFBTSRb/lymvijdjqhvT4kJ5Mlorb94u4gqUh8PGXsXL7s/rk8\ngU+Jui0/XSQ6mlK4Tp6UPoc/+unWDBlCf/zR0ZRHm5sLfPMNRRwffcQ+OtMaORbMa6/R2E1sLNVi\nP3TIM30zR/TTAf+xX0JC6HOo0IR51fE5Ubflp4vI8dX90U+3Rbt29CF8/33gsccoEnvrLf//wmLU\nYcwY4Lvv7C+aUVZGT4B//CNtGwyAm+nQLiH66QBZRufP0+CtGigVqQP+NbPUp0TdVo66OYEk6iIG\nA3DwIPDxxzSIyjC2aNeO1s+1Z8G88QbZeWI9JG+JupijDtATZ2SkOkXJqqsppVGpHHh/Giz1KVFX\nIlI/dEhbog4AHTtS2hrDSGHPgqmro2ypJ59s2ZeRAXz9tWd99dpaWuovIaFlX0yMOhaMUumMIizq\nLiLlqQN0Yw8epCwRW2Rn0x/ImDHq9I9hfJm77iJ7wzryfe89Coj69WvZ1707Zcp40lc/eJAE3Xz9\nVrUGS5Xy00USEqifNTXKnVMtfEbUa2tpcdgbbrDfpkMHqo1s6w9x925ai3DjRtuLUjCM1mnbFvjt\nby2XbBMEmn08Z07r9p62YMz9dBG1RF1JPx2gwdKkJP8YLPUZUf/xR/olSFVMA2xbMOfO0aPnmjXA\nTTep10eG8XWsLZgvvyRBuuOO1m09LermfrqIWvaLvZK77uAvFozPiLojP13EWtSvXaOJATNmUB0M\nhglk7ryTnmTPnaPt11+nRVtszdvwtK/uyUhdafsFYFF3Gkd+uoi1qM+aRf6gJ5bGYhhf57rrqGrn\np59SNllBgf0FW3r0IF/d1Vr+zlBfT5/xAQMs9/uL/QKwqDuN3Ej95pspbbG6mkb0d+6k6oZKjXIz\njL9z//1U7O3114E//9lybQJrPGXBHD1KWWnt21vuV8N+qa6mMTqlS/omJNCMdV8fLPUZKXSUoy4S\nGgqkpNBU52ef5YFRhrFm1Cj6PG3YQLakFBkZnhF1W346QE8L5eXuLb5ujeinK10qJDSUgsofflD2\nvErjE6Le2Eg1KeQOcg4ZQpkuPDDKMK1p04aWSZw4kRanliIjA9ixQ31f3ZafDpBQdu0qXZnUWdTw\n00X8wYJxe+UjJSgqojonYWHy2k+ZQulFPDDKMLZZtsxxJhkA6PVUQO/w4dZ+t5IUFNAXjS1EC8Zs\nZUy3UMNPFxk0iAaXfRmfiNTl+ukigwYBjz6qXn8Yxt8JC6NBUzmo7as3N5NlkZJi+7jSg6VqpDOK\n+EOk7hOiLtdPZxhGedQW9cJCehoQ685Yo7Soq2m/JCYCp08DV66oc34l8AlRdzZSZxhGOdT21e35\n6SJKZ8Coab+0aUPCfuCAOudXAp8RdTk56gzDKI9eT1G0Wvnq5jXUbaFkpH75Mq0EFR2tzPls4esW\njNdFXRDYfmEYb2MwULSuBo4idSVFXa10RnPuu48qQPoqDkU9Ly8P/fv3R9++ffHSSy+1Om40GtGp\nUyekpqYiNTUVCxYscKoDFy/Sz65dnXoZwzAKopavLgj2c9RFlLRf1PTTRUaM8O3MO8mUxqamJjz+\n+OP46quvoNfrccstt2D8+PGIt/JKMjIykJOT41IHxCjdH9cUZRitkJFB9dabm5WdnV1SQufr0cN+\nm+7dgQsXgIYGy7K8rqCmn+4vSP768vPzERcXh169eiE0NBQPPvggNm3a1Kqds6tdm8N+OsN4n5gY\nICICOHJE2fOKfrpU0BYSQpOklJiApGY6o78gGamXlpYi1mxGQExMDPbt22fRRqfTYc+ePUhOToZe\nr8eSJUuQYL60ya/MmzfP9H+DwQCDwQCAM18YxlcQSwYkJSl3Tkd+ukhMDPnqUuspyOHkyZZ1WP0R\no9EIo5s+mKSo62R4IgMHDkRxcTHCwsKwZcsWZGZm4sSJE63amYu6OcePA8OHy+sswzDqYTAA//0v\n8MQTyp1z/35g8mTH7ZQaLPV3+8U84AWA+fPnO30OSftFr9ej2OxOFxcXIyYmxqJNeHg4wn6d3z9m\nzBg0NDTg0qVLsjswYoS8b3KGYdRl+HCK1BsalDun3Eg9Ntb9wdKqKuCXXxzXu9E6kqI+ePBgFBYW\noqioCPX19diwYQPGWy1pX15ebvLU8/PzIQgCIu1NHbPB3Ln06MUwjHfR6ylVT4naJtXVwMyZ5JfL\nSf8T7Rd38EQ6oz8gKeohISFYsWIFRo8ejYSEBDzwwAOIj49HdnY2srOzAQCffPIJkpKSkJKSgtmz\nZ2P9+vUe6TjDMMpzzz3AZ5+5d47cXPLlr12jSTpysmmUsF88kc7oD+gEd1JX5F5Ep3MrQ4ZhGM9w\n/DhZosXFzqc2XrxIC1zv3k0L2IwcKf+1e/fSKmbW6w87wwsv0BfJiy+6fg5fwxXt9PqMUoZhfIf+\n/YFOnYBvv5X/GkGgxa6TkmgS4aFDzgk6IC9Sb2igtRRWrrRdp4bTGQkWdYZhLHDWgnn8cWD+fMqc\nefXV1kvWySE6GqiooLVM7fH117RM3bvvUvrl8eOWx9l+IVjUGYax4He/I4GW89R/5gywfj3ZJ7fe\n6vo1g4NJ2M+ds99m0yZKj9y5k9ZhTU8nq0XM1vH3dEalYFFnGMaCgQPJmz561HHbN98EsrKUWSdY\nyoIRBCAnB5gwgb4AnniCBmF37QIGDwa2bqUov1s39/vh7/jEcnYMw/gOOh2QmUkWTGKi/XZXrwKr\nV1OUrgRSon7wIA3cmvenZ0/KtHn/fWDSJE5nFOFInWGYVogWjBQffECWi1JlaKWqNYpRurVo63S0\nZvGxY8B//qNMP/wdFnWGYVqRnk4Ce/q07eOCACxfrmxJAalIfdMmwGreowVdu/LMdBEWdYZhWhEc\nTCK6caPt4zt3ku/ubOqiFPZEXfxySU9X7lpahkWdYRib3HOPfQtm2TKK0pWsvW7Pftm8GRgzxv1a\n64ECizrDMDYZMYIGKMvLLfcXFwPbtwMPPaTs9exF6ps2kZ/OyINFnWEYm7RtC9x1Fw1SmrNyJQ1O\nKpHGaE5UFFVavHatZV9NDZUdGD1a2WtpGRZ1hmHsYm3B1NUBb79Ns0iVJiiIlrYrLW3Z98UXwNCh\nQMeOyl9Pq7CoMwxjl7FjaYLP5cu0vX49TfZRa+amtQWTkyOd9cK0hkWdYRi7hIcDt99Ok3wEoWWA\nVC3MRb2xka7Lou4cPKOUYRhJxIlIsbHAlSvq+tvmGTC7d9OsUV5ExzlY1BmGkWTcOKqTfu0aeelK\npjFaExvbUn2Rs15cg+0XhmEkEWdrbtsGPPywutcS7RexgBdbL87DkTrDMA6ZPp1K26qdhSLaL0eP\nUknd5GR1r6dFOFL3MEaj0dtd8Bn4XrTg6/di0iTguefUv05sLHDqlNEUpXPVRedxKOp5eXno378/\n+vbti5deeslmm1mzZqFv375ITk5GQUGB4p3UEr7+4fUkfC9a4HtBdO0K1NYasWED++muIinqTU1N\nePzxx5GXl4ejR4/iww8/xLFjxyza5Obm4uTJkygsLMSqVaswY8YMVTvMMIx2CQqiNMrTpymVknEe\nSVHPz89HXFwcevXqhdDQUDz44IPYtGmTRZucnBxkZWUBANLS0lBVVYVy62IRDMMwMunUiSY9tWnj\n7Z74J5IDpaWlpYiNjTVtx8TEYN++fQ7blJSUICoqyqKdjs0xE/Pnz/d2F3wGvhct8L1o4cyZ+Vi/\n3tu98E8kRV2uEAtWK9Rav876OMMwDKMOkvaLXq9HsVkhhuLiYsRYTe+yblNSUgK9Xq9wNxmGYRg5\nSIr64MGDUVhYiKKiItTX12PDhg0YbzUbYPz48Vi3bh0AYO/evejcuXMr64VhGIbxDJL2S0hICFas\nWIHRo0ejqakJ06ZNQ3x8PLKzswEA06dPx9ixY5Gbm4u4uDi0b98ea9as8UjHGYZhGBsIKrNlyxah\nX79+QlxcnLB48WK1L+dTPPLII0K3bt2Em2++2bSvoqJCGDlypNC3b19h1KhRQmVlpRd76DnOnj0r\nGAwGISEhQUhMTBSWLl0qCEJg3o+6ujphyJAhQnJyshAfHy/8/e9/FwQhMO+FSGNjo5CSkiL89re/\nFQQhcO9Fz549haSkJCElJUW45ZZbBEFw/l6oOqNUTp67lnnkkUeQl5dnsW/x4sUYNWoUTpw4gREj\nRmDx4sVe6p1nCQ0NxWuvvYYjR45g7969eOONN3Ds2LGAvB9t27bF9u3bceDAARw8eBDbt2/Hrl27\nAvJeiCxduhQJCQmmJItAvRc6nQ5GoxEFBQXIz88H4MK9UPNbZ8+ePcLo0aNN24sWLRIWLVqk5iV9\njtOnT1tE6v369RPOnz8vCIIglJWVCf369fNW17zKhAkThK1btwb8/bhy5YowePBg4fDhwwF7L4qL\ni4URI0YI27ZtM0XqgXovevXqJVy8eNFin7P3QtVI3VYOe6n5WlUBSHl5uWkgOSoqKiAnahUVFaGg\noABpaWkBez+am5uRkpKCqKgoDB8+HImJiQF7L+bMmYNXXnkFQWY1fQP1Xuh0OowcORKDBw/GW2+9\nBcD5e6FqlUaecCSNTqcLuHtUW1uLiRMnYunSpQi3Wrk4kO5HUFAQDhw4gMuXL2P06NHYvn27xfFA\nuRebN29Gt27dkJqaarf+TaDcCwDYvXs3unfvjgsXLmDUqFHo37+/xXE590LVSF1OnnugERUVhfPn\nzwMAysrK0K1bNy/3yHM0NDRg4sSJmDp1KjIzMwEE9v0AgE6dOuHuu+/G999/H5D3Ys+ePcjJyUHv\n3r0xadIkbNu2DVOnTg3IewEA3bt3BwB07doV99xzD/Lz852+F6qKupw890Bj/PjxWLt2LQBg7dq1\nJnHTOoIgYNq0aUhISMDs2bNN+wPxfly8eBFVVVUAgLq6OmzduhWpqakBeS8WLlyI4uJinD59GuvX\nr8cdd9yBd999NyDvxdWrV1FTUwMAuHLlCr788kskJSU5fy/UMvxFcnNzhZtuukno06ePsHDhQrUv\n51M8+OCDQvfu3YXQ0FAhJiZGWL16tVBRUSGMGDEi4FK1du7cKeh0OiE5OVlISUkRUlJShC1btgTk\n/Th48KCQmpoqJCcnC0lJScLLL78sCIIQkPfCHKPRKIwbN04QhMC8F6dOnRKSk5OF5ORkITEx0aSX\nzt4LnSBwYRaGYRitwCsfMQzDaAgWdYZhGA3Bos4wDKMhWNQZhmE0BIs6wzCMhmBRZxiG0RD/HyYa\nz+JuB3fTAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1c732d0>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 9 has 41 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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FUg1yO/WJ2EWwRTvE9+7JVEuksLAQ1157LXr06IGePXti4cKF+h1ZBwoK6I2N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\nYDMMwzgEFmyGYRiHwILNMAzjEP4fceLhPp9hg/AAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1c755d0>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 10 has 47 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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v6tevA4WF0o4VWqHRGj6CUXM2KY8W4hf7n2sSdceIinpMTAzS09MBAL169UJy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\ncMq4nAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1c5ff10>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 11 has 45 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x2ad6710>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 12 has 47 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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cvV2YK19E1rEIxwF//COruZ4yRdzrPRES7DsonV8D5LDVwHaWI49ckUhlJXDj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\n",
"text": [
"<matplotlib.figure.Figure at 0x21f61d0>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 13 has 2 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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IiOSGvnHOz8/3ybgeDytpNBrYbDZp2WazQRCEUQ0sCAIEQYDRaAQApKeno7Gx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\niIhkGA5ERCTDcCAiIhmGAxERyfw/panpo2W0OncAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2b4e110>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 14 has 2 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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88cd+PS9DwUDmV19fD19fX4SEhAAAPDw8MHnyZNTV1Q1KzfYY6PyAoZ0r1w10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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe64c184f50>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 15 has 13 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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8+99idO/tLW98NVm5Utw7Pd269yXnc+EC8NFHLKvcjYncRowfLw5xmDxZ1Llr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\n",
"text": [
"<matplotlib.figure.Figure at 0x1c755d0>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Trajectory 16 has 2 frames\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x1c732d0>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"traj_number = int(np.max(data[:,traj_index])) + 1 - int(np.min(data[:,traj_index]))\n",
"frame_number = 0\n",
"for traj_i in xrange(int(np.min(data[:,traj_index])), int(np.max(data[:,traj_index])) + 1):\n",
" frame_number = max(len(data[data[:,traj_index] == traj_i,:]), frame_number)\n",
"output_data = np.zeros( (frame_number, traj_number + 1) )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"msd_avg_avg = np.zeros(frame_number)\n",
"msd_avg_counts = np.zeros(frame_number)\n",
"\n",
"for ti, traj_i in enumerate(range(int(np.min(data[:,traj_index])), int(np.max(data[:,traj_index])) + 1)):\n",
" tdata = data[data[:,traj_index] == traj_i,:]\n",
" tdata = tdata[:,(xrow, yrow)]\n",
" n = np.shape(tdata)[0]\n",
" msd_avg = np.empty(n)\n",
" msd_count = np.zeros(n)\n",
" msd_count[0] = 1 #no samples there\n",
" for i in xrange(n):\n",
" raw_shift = tdata[(i+1):,:] - tdata[i,:]\n",
" raw_msd = np.sum(raw_shift**2, axis=1)\n",
" if(i == 0):\n",
" msd_avg[1:] = raw_msd\n",
" msd_count[1:] += 1\n",
" else:\n",
" msd_avg[1:-i] += raw_msd\n",
" msd_count[1:-i] += 1\n",
" msd_avg /= msd_count\n",
" msd_avg_avg[:len(msd_avg)] += msd_avg\n",
" msd_avg_counts[:len(msd_avg)] += 1.0\n",
" output_data[:len(msd_avg),ti+1] = msd_avg\n",
" plt.plot(range(n), msd_avg)\n",
" plt.title('Time Shifted MSD for Traj {}'.format(traj_i))\n",
" plt.show()\n",
"\n",
"msd_avg_avg /= msd_avg_counts\n",
"output_data[:,0] = msd_avg_avg\n",
"np.savetxt(\"msd_output.csv\", output_data, delimiter=\",\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ObFIxJ04A770HHD4MvPaa0tEQmRfesUl6kSSgWzcxfTAgQOloiMwPZ6eQXjZt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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2ac3e50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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f8t1g8ZiwzciiRcC5c2Kulj0YntetG/DoEXDkiNyRUJ6//xYll2+9JXckysCE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\nSCGYsImIFIIJm4hIIf4fYdNwKI1F9cwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe64c2c92d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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/T/z9/bWzZ8/mecySa2HVEfmpU6eocVObQz8/P06dOmXNUxjOmTNn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\nIhdCCIP7f06ckl0Y053KAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2b4e110>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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hRg2roxGR4pRvD3vcuHG8+uqrpKSk5Pp+VFSU4/vIyEgitfWbZbKy4J//hMaN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\nMnkAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe64c2d2750>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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JU2sipKenExcXh5eXF4GBgQwaNIjs7GwLN1kIIUynaZCdDQcOtO84zjLACq304AHq6+sZ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\nfZg4sW3BHVTJoV4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"text": [
"<matplotlib.figure.Figure at 0x7fe64c19af10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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S9US+/loSuLBPDz6oBvG/+ELvSIwnSdxOJSaqmSjvvQedOukdjRD6mThRDXBm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\nMUniQghhxSSJCyGEFft/6s8YFXZclYEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe64c183f50>"
]
},
{
"metadata": {},
"output_type": "display_data",
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"text": [
"<matplotlib.figure.Figure at 0x2ac3e50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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6CW3eDDz7rLzpuW1bzfuXlADbtwPDhxu/bUSWwNNT1qnfu2e4Yy5aJEuC7QWD\nuglt2gSMGgWMHQusXVvz/gcPyp5Lq1ZGbxqRRXBwAHx8gGvXDHO8+/eBX34BduyQ02zYAwZ1E0lP\nl6mX/v2BESOAI0eAGzc0v2frVqZeyP60aSPXWDWEU6eADh3kco+//mqYY1o6BnUT2bJFLmpRt65c\nrmvECGDDhur3F0Lm00eMMF0biSzBwIFyIWtDOHoU6NULGDJE9tbtAYO6iShTL0o1pWBOnZIrtXMV\nGLI3o0bJb6klJbU/FoM6GcX168DZs3LldaXQULnIbnVfCZW9dE4LQPamTRt5LykhoXbHEeJhUA8N\nBc6cAXJyDNBAC8egbgJbtsjBQ/XqPXzNwQF48UVg3bqq38N8OtmziAj57bY20tNlb79NG/mtNzRU\njvuwdQzqJlAx9aIUFQWsXw+Ulqq/npIiexQ9epimfUSWJiKi9imYo0eBnj0fftu1lxQMg7qRZWbK\nr30DB1beFhQk63L37lV//ccfZW26A//rkJ1q00bOA7N/v/7HUKZelAYPljOdVuxEVeXuXeDwYf3P\nbU41ho34+HgEBgbC398fCxYsqHKfhIQEdO3aFR07dkRoaKih22jVtm6VPQRn56q3V3XDlFUvRLVP\nwVQM6j4+QMuWwLFjNb/3s8+AJ58EVq3S//xmIzQoKSkRbdu2FVeuXBFFRUUiODhYnDt3Tm2f3Nxc\nERQUJNLS0oQQQty8ebPScWo4jU0LDRXixx+r356VJUTjxkIUFMjnmZlCNGkixIMHpmkfkaW6fFkI\nd3chiot1f+/9+0I0aCBEYaH66zNmCDFzpub35ucL0by5ELGxQnh5CfHtt7qf31D0iZ0ae+pJSUnw\n8/ODr68vnJycEBkZidjYWLV9/vOf/2DkyJHw9vYGADRv3txYnz9WJysLSE6uOvWi1KKF7BFs2SKf\nb9smVzeqW9c0bSSyVG3ayNHU+qRgTp0CAgLkmJDyhgwB4uI0v3fpUlmpFh4uZ0idPdu6euwaVz7K\nyMiAj4+P6rm3tzeOVfjukpKSguLiYvTp0wcFBQV44403EBUVVelYc+bMUf0cGhpqF2marVtlHq9+\nfc37jR0LLFsm/926lQtLEykpUzD9+un2voqpF6WePeUUBBkZgJdX5e137sjUi/I+V0CADOzK8xv7\nbzMhIQEJtazl1BjUFVoUSRcXF+PUqVPYs2cP7t69i169eqFnz57w9/dX2698ULcXmzYBU6fWvN+w\nYUB0NHBVv2sYAAARhElEQVTunLw58/33xm8bkTWIiJDBeckSwFGHxTePHq16IjxHRyAsTPbWJ06s\nvP3rr4GnnpJTCyiZMrBX7PDOnTtX52NoTL94eXkhLS1N9TwtLU2VZlHy8fHBwIEDUb9+fTRr1gxP\nPfUUfvnlF50bYmv+/BM4eVK7haKdnWXJ47hxMhXj4mL89hFZg0cfBby9gQMHdHtfYqLslVelutLG\nu3eBTz4B/vGPytuUgd0aUjEag3pISAhSUlKQmpqKoqIixMTEIDw8XG2f4cOH49ChQygtLcXdu3dx\n7NgxBHFsO7ZulQG9ptSL0tixwIkTHHBEVJGuVTDp6XJ2xrZtq94eFgbs2wc8eKD++ooV8oMgOLjq\n95UP7DEx2rfH1DR+oXF0dMSSJUsQFhaG0tJSTJgwAe3bt8eyZcsAANHR0QgMDMSgQYPQuXNnODg4\nYOLEiQzqAH74AZg8Wfv9e/eWI0w5dzqRuogI4PHHZQqmTp2a91fm06vLHjdvLtMr+/c/LGK4fx9Y\nuLDmicQCAmS+vboSZUug+F/ZjHFPolDABKexGNnZspeQmQk0aGDu1hBZv8ceAz79FOjTp+Z9p0+X\ngfvdd6vf54MPgJs3gc8/l8+XLgV27jTc7JCGok/s5JhFI/jnP4GRIxnQiQxFlxSMcnoATcrn1R88\nAD76SKZVbAF76ga2Ywfwt78Bp08Dbm7mbg2Rbbh4EXjiCVmKqCkF8+AB0LSpHCPSqFH1+wkhR5ju\n3Stng9yyRU4hYGnYUzezGzeAV16Rw/4Z0IkMx89PDvE/eFDzfsnJQLt2mgM6IPPtgwfLKTk+/BB4\n7z3DtdXcGNQNpKxM1q9OmAA8/bS5W0Nke7RJwWgqZaxo8GCZKvXzkzdibQWDuoF88QWQmwu8/765\nW0JkmyIiZFXZrVvV71PdSNKq9O8vZ2y0lVy6EnPqBvDLL/J/kMTE6mtjiaj2/v53mYLZvbvyvC6A\nnCtmzx6gwoD2at28Cbi7G7aNhsScuhncvQuMGSPni2BAJzKuBQvkOgTPPgsUFalvy8iQf49+ftof\nz5IDur4Y1Gvp//4P6NpVDhwiIuNSKOTkdw0ayJXDyi94ocyn2/u6vgzqtRAbKwcsLF3K/5GITMXR\nEdiwQaZOXn1VlicCuuXTbRmDup7y8uTMiuvXA40bm7s1RPbF2VmWI5448fBGJ4O6pMNkllTeF1/I\neSNsqRSKyJq4uspvysqZTU+fBrp1M3erzI/VL3rIy5M3Yw4flgMdiMh8rl2TE+I1bSor0WyJPrGT\nPXU9fPEF8Ne/MqATWYJWreRw/ytXzN0Sy8Ceuo7YSyciU2Gdugmwl05Elow9dR2wl05EpsSeupGx\nl05Elo49dS2xl05EpsaeuhGxl05E1oA9dS2wl05E5sCeupGwl05E1oI99Rqwl05E5qJP7GRQ16Cs\nTE6tm50t1x0lIjIlThNgQCdPymk9HRyAmBhzt4aISDvMqVeQmyuD+ZAhcmrdQ4cAHx9zt4qISDsM\n6v9TVgasWgW0by+fnz8PjB8ve+pERNbCbtIvxcXAnDnA/fty5RRHR6BOnYc/b98uA/uOHcBf/mLu\n1hIR6cdubpQmJQGjRwNTpwIlJXJtw5KShz8HBgIvvMCeORFZDt4o1eDIEWDQIGD6dHO3hIjIeOym\nX3rkCJeeIyLbx6BORGRD7CKop6XJG6WPPmrulhARGZddBPUjR4BevQCFwtwtISIyLrsJ6ky9EJE9\nsIugfvQogzoR2Qebr1O/exdwd5eTctWvb5YmEBHpxSjzqcfHxyMwMBD+/v5YsGBBtfsdP34cjo6O\n2LJli04NMLYTJ4COHRnQicg+aAzqpaWlmDp1KuLj43Hu3Dls2LAB58+fr3K/d955B4MGDTL7yNGK\nmE8nInuiMagnJSXBz88Pvr6+cHJyQmRkJGJjYyvt9+WXX2LUqFFwd3c3WkP1xXw6EdkTjdMEZGRk\nwKfcvLPe3t44duxYpX1iY2Oxd+9eHD9+HIpq6gbnzJmj+jk0NBShoaH6t1pLQsie+ldfGf1URES1\nlpCQgISEhFodQ2NQry5Alzdt2jR89NFHqoR+demX8kHdVC5elLl0b2+Tn5qISGcVO7xz587V+Rga\ng7qXlxfS0tJUz9PS0uBdIUKePHkSkZGRAIDs7Gzs3LkTTk5OCA8P17kxhsZ8OhHZG41BPSQkBCkp\nKUhNTUXLli0RExODDRs2qO1z+fJl1c/jx4/HsGHDLCKgA8ynE5H90Xij1NHREUuWLEFYWBiCgoIw\nevRotG/fHsuWLcOyZctM1Ua9KacHICKyFzY7+CgvD/DykmuOOjmZ9NRERAZhlMFH1iopSS5Lx4BO\nRPbEZoM6b5ISkT2y6aDOfDoR2RubzKmXlQFNmwIpKXIyLyIia8Sc+v+cOwe0aMGATkT2xyaDOlMv\nRGSvbDao8yYpEdkjBnUiIhtic0E9Oxv4808gKMjcLSEiMj2bC+pHjwLduwN16pi7JUREpqdxQi9L\nVFYGLFoEHD4M+PoCbdo8fPj6MvVCRPbNqoL69evA2LHAgwfAq68CaWnA+fNAXBxw5Qpw9SpQXAz8\n9JO5W0pEZB5WE9T/+19g4kTgb38DZs4EHKtoeVkZkJMDNG9u+vYREVkCix9Rev8+8PbbMqh/9x3w\nxBMGbhwRkYWyuRGlZ8/Km55ZWUByMgM6EVFNLDao//478PTTwLRpQEwM4OZm7hYREVk+i02/TJok\nF4x+7z0jNYqIyMLpEzstMqjfvAm0awf88YecmIuIyB7ZTE7966+BUaMY0ImIdGVxPfUHD+Qgot27\ngQ4djNsuIiJLZhM99Q0bgOBgBnQiIn1YVFAXAvjsM+DNN83dEiIi62RRQX3vXqC0FBg40NwtISKy\nThYV1Bctkr10hcLcLSEisk4Wc6NUOdgoNRWoX9/YLSIisnxWfaN08WJg8mQGdCKi2rCInnpODuDn\nJ3vrHh7Gbg0RkXWw2p76smXAM88woBMR1ZbZe+pFRXKw0U8/AZ06GbslRETWwyp76jExcpFoBnQi\notoze1BfulROr0tERLVn1vSLEECjRkBmJuDqauxWEBFZF6tLv9y8CTg7M6ATERmKWYN6airQpo05\nW0BEZFvMGtSvXJGVL0REZBg1BvX4+HgEBgbC398fCxYsqLR9/fr1CA4ORufOndG7d2+cOXNG65On\npjKoExEZksagXlpaiqlTpyI+Ph7nzp3Dhg0bcP78ebV9Hn30URw4cABnzpzB7NmzMWnSJK1PzvQL\nEZFhaQzqSUlJ8PPzg6+vL5ycnBAZGYnY2Fi1fXr16oXGjRsDAHr06IH09HStT86eOhGRYTlq2piR\nkQEfHx/Vc29vbxw7dqza/VeuXInBgwdXuW3OnDmqn0NDQxEaGsqcOhFROQkJCUhISKjVMTQGdYUO\nE5vv27cP3377LQ4fPlzl9vJBHZA16levMqgTESkpO7xKc+fO1fkYGoO6l5cX0tLSVM/T0tLg7e1d\nab8zZ85g4sSJiI+Ph5ubm1YnzsoCXFyAhg11bDEREVVLY049JCQEKSkpSE1NRVFREWJiYhAeHq62\nz7Vr1/Dss8/iu+++g5+fn9YnZuqFiMjwNPbUHR0dsWTJEoSFhaG0tBQTJkxA+/btsWzZMgBAdHQ0\n/vnPfyI3NxdTpkwBADg5OSEpKanGE/MmKRGR4Zlt7pf584Hbt4EqSt+JiAhWNvcL0y9ERIZntqDO\n9AsRkeGZNahzNCkRkWGZJadeVgY0aADk5gL16xv77ERE1slqcuqZmUCTJgzoRESGZpagznw6EZFx\nmC2oM59ORGR4ZgnqLGckIjIOpl+IiGwI0y9ERDaEPXUiIhti8jr10lJZo56XBzg7G/vMRETWyyrq\n1K9fB5o3Z0AnIjIGkwd1pl6IiIzH5EGd5YxERMbDnjoRkQ0xS1BnOSMRkXGwp05EZEOYUycisiEm\nrVMvKQEaNgQKCoC6dY19ViIi62bxdeoZGUCLFgzoRETGYtKgztQLEZFxmTSo8yYpEZFxmTyos5yR\niMh42FMnIrIhzKkTEdkQpl+IiGyIyerUi4oEGjUCCgsBJydjn5GIyPpZdJ16WhrwyCMM6ERExmSy\noM7UCxGR8Zk0qPMmKRGRcTGoExHZEJMFdZYzEhEZH3PqREQ2hOkXIiIbYrKg/uefgJeXqc5muRIS\nEszdBIvBa/EQr8VDvBa1U2NQj4+PR2BgIPz9/bFgwYIq93n99dfh7++P4OBgJCcnV7mPlxfg6Fi7\nxtoC/g/7EK/FQ7wWD/Fa1I7GoF5aWoqpU6ciPj4e586dw4YNG3D+/Hm1feLi4nDx4kWkpKRg+fLl\nmDJlSpXHYuqFiMj4NAb1pKQk+Pn5wdfXF05OToiMjERsbKzaPtu2bcO4ceMAAD169MDt27eRlZVV\n6VgM6kREJiA02LRpk3jllVdUz9etWyemTp2qts/QoUPF4cOHVc/79esnTpw4obYPAD744IMPPvR4\n6EpjlluhUGjarFJxwpmK7zPBnGFERIQa0i9eXl5IS0tTPU9LS4O3t7fGfdLT0+HFMhciIrPQGNRD\nQkKQkpKC1NRUFBUVISYmBuHh4Wr7hIeHY+3atQCAxMRENGnSBB4eHsZrMRERVUtj+sXR0RFLlixB\nWFgYSktLMWHCBLRv3x7Lli0DAERHR2Pw4MGIi4uDn58fGjZsiFWrVpmk4UREVAWds/A62rlzpwgI\nCBB+fn7io48+MvbpLMr48eNFixYtRMeOHVWv5eTkiP79+wt/f38xYMAAkZuba8YWms61a9dEaGio\nCAoKEh06dBCLFy8WQtjn9bh3757o3r27CA4OFu3btxczZswQQtjntVAqKSkRXbp0EUOHDhVC2O+1\naN26tejUqZPo0qWL6NatmxBC92th1BGl2tS527Lx48cjPj5e7bWPPvoIAwYMwIULF9CvXz989NFH\nZmqdaTk5OWHRokU4e/YsEhMT8dVXX+H8+fN2eT2cnZ2xb98+nD59GmfOnMG+fftw6NAhu7wWSosX\nL0ZQUJCqyMJer4VCoUBCQgKSk5ORlJQEQI9rYcxPnSNHjoiwsDDV8/nz54v58+cb85QW58qVK2o9\n9YCAAHHjxg0hhBCZmZkiICDAXE0zq+HDh4tdu3bZ/fW4c+eOCAkJEb/99pvdXou0tDTRr18/sXfv\nXlVP3V6vha+vr8jOzlZ7TddrYdSeekZGBnx8fFTPvb29kZGRYcxTWrysrCzVjWQPD48qB2rZutTU\nVCQnJ6NHjx52ez3KysrQpUsXeHh4oE+fPujQoYPdXos333wTH3/8MRwcHoYje70WCoUC/fv3R0hI\nCFasWAFA92th1NlYtK1zt1cKhcLurlFhYSFGjhyJxYsXw8XFRW2bPV0PBwcHnD59Gnl5eQgLC8O+\nffvUttvLtdi+fTtatGiBrl27Vjvni71cCwA4fPgwPD09cfPmTQwYMACBgYFq27W5FkbtqWtT525v\nPDw8cOPGDQBAZmYmWrRoYeYWmU5xcTFGjhyJqKgojBgxAoB9Xw8AaNy4MYYMGYKTJ0/a5bU4cuQI\ntm3bhjZt2mDMmDHYu3cvoqKi7PJaAICnpycAwN3dHc888wySkpJ0vhZGDera1Lnbm/DwcKxZswYA\nsGbNGlVws3VCCEyYMAFBQUGYNm2a6nV7vB7Z2dm4ffs2AODevXvYtWsXunbtapfX4sMPP0RaWhqu\nXLmCjRs3om/fvli3bp1dXou7d++ioKAAAHDnzh38/PPP6NSpk+7XwlgJf6W4uDjRrl070bZtW/Hh\nhx8a+3QWJTIyUnh6egonJyfh7e0tvv32W5GTkyP69etnd6VaBw8eFAqFQgQHB4suXbqILl26iJ07\nd9rl9Thz5ozo2rWrCA4OFp06dRILFy4UQgi7vBblJSQkiGHDhgkh7PNaXL58WQQHB4vg4GDRoUMH\nVbzU9VoohODELEREtsJkKx8REZHxMagTEdkQBnUiIhvCoE5EZEMY1ImIbAiDOhGRDfl/Occ2Jb5g\n910AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1c73ad0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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yiyAvL0/1SZKUlATGGNzd3YWPlJjs99/5lO2JE8WOhBDLJpHwJTSys8WOxHBa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\n2BBK6oQQYkMoqRNCiA35f0s6gRzwqMJ/AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ac3e50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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XwcHBCs9fv34dXl5e8seenp4oLCyEm5ubwnHxj8z0CAkJQUhIiHYRm6jCQjbS\n5ZtvgD599Nfu66+zcs6qVcCUKfpr15Js3w6MHs13FIRv5pDUJRIJJBKJTm2oldSrqqowZswYrFix\nAg5K1ijlHivki5RM24oX8PS9igpg2DA2cWjsWP22LRKxpD5oEFBTA7z7rvnNiuPT3bts6zSazEXE\nYtPfkPrxDu/8+fM1bqPJIY1SqRSjR4/G66+/jlGjRjV43cPDAwUFBfLHhYWF8PDw0DgQcyWVskTe\npw9b28UQunZlywv8/DNbEMxSN9TVRno6m0FKyy4QsZgtpieT8R2JYalM6hzHITY2Fn5+fpgxY4bS\nYyIiIpCUlAQAyMrKQqtWrRqUXoSK44C332YjXL7+2rA9aC8vtsxAWRnrtd++bbhzCcm2bcD//R/f\nURBT4OLCJvddvsx3JIalcpz6wYMH0b9/f3Tv3l1eUlmwYAGuXbsGAIiLiwMATJkyBenp6bC3t8fa\ntWvRo0cPxZMIdJz6ggXA1q3A/v3G2zlHJgPmzQOSk4Hffwf8/IxzXnN0/z7b4PjMGfY7ISNGABMm\nmM8HPS3oZUQbN7K1zw8f5mf/ww0bWH19/XpgyBDjn98cpKayWaQHDvAdCTEVH33E9ivQolTNC1rQ\ny0gyMoAZM4CdO/nb0DYqCvjtN1Zj37CBnxhMHZVeyOPMYQSMrqinrqFTp9iu6snJ6i/SZUhnz7Kt\nujZuBMLC+I7GdDx4wLZey8kxv+VWieGcPw8MHmw+dXXqqRvYjRvA0KHAsmWmkdABoEsXYMsW4NVX\n2VozhNm/H/D2poROFHXsyDbNKC/nOxLDoaSupspKNhZ90iQ2IciU9O8PfPUVi++xCb8Wi0ovRJlm\nzYBu3diCeUJFSV0N9WPRe/c23QW2IiOBt95iib2yku9o+CWTAb/+SrNIiXJCr6tTUm9C/Vh0kQj4\n9lvTns05ezb74Hn5ZfZBZKmysthko86d+Y6EmCKhr61OSb0JixYBR4/qtoyusdR/8ABsETCB3JvW\nGJVeiCpC76nT6BcVbt5kU/RPngTMaeWDykpWZ3/5ZTaW3pJwHPDUU2yf1+7d+Y6GmKKKCjYyqqKC\n1dhNGY1+0bOvv2ajSswpoQOAoyMbQ//dd8BPP/EdjXH98w9gYwMEBPAdCTFVTk6Am5v57YKkLhMv\nKPCnspKt7HfkCN+RaKd9e5bYBw5kfzaVIZiGVr/Mrinf+yD8qy/BdOnCdyT6Rz31Rnz/PZvM07Ej\n35For1uT/G1SAAAUVElEQVQ3di9g3Di2Op3QcRzV04l6hFxXp6SuhFQKLF8OvPce35HoLiQEWLGC\nDXUsLOQ7GsM6fZqtn967N9+REFMn5KRO5RclkpMBHx+gVy++I9GPyEiW0IcMYcv3OjvzHZFh1PfS\nqfRCmiLkpE6jXx7DcWzUxNKlbI0IoeA4tjPTqVNs44jmzfmOSL8KC4GePYFdu9h/WEJUkckerq1u\nyhuo0OgXPUhPB6ysgBde4DsS/RKJ2FICzs7AxInCGsMukwHjx7M9XCmhE3VYWbHOmxCXC6Ck/pgl\nS4D33xfmV/hmzdhqjvn5wCef8B2N/iQksFq6pY3JJ7pprARTXQ1s2sT2tjVHVFN/RHY2S3gvv8x3\nJIbTsiVbF8XPj63Fbu6rGJ48CXz+OVsawNRn/BLTIhazTW4AtlTz7t2s0/P772wCm5MTEB7Ob4za\noJ76I774Apg1i01eETI3NyAujm3HZ87u3wdeew1YvNi8h54SfojFbODA1KlsguH8+WyT8nPngD//\nZL14cyxT0o3Sf128CDz3HLtxYqz9RvlUUsIWvDp6lK07bo7eew+4dImNehFiuYwY1t27QEQEW1Lj\n1VeBTp0UX2/fnvXk+fw2q03upC+s/1q2jC1dawkJHWB3/N96i5UuEhP5jkZzGRnsq/Lx45TQiXbs\n7IA9exp/vb7mbm4lSuqpA/jf/9h04bNngbZt+Y7GeO7cYePxc3JYDdFclJay/3Br1gAvvsh3NESo\nZs9mif/jj/mLgYY0aumrr9jNUUtK6ADg6srWiv/8c74j0cw77wAjR1JCJ4ZlrhOULL6nfuMGW9Hv\n2DHAy4vvaIzvzh1WW8/OBp5+mu9omrZzJ/Cf/7B7AXZ2fEdDhOzMGWDECHa/jS9676lPnDgRbm5u\nCGhkHVOJRAJnZ2cEBQUhKCgIn332mUYnNwXz57OhfZaY0AHz663/9BMwcyYldGJ4Pj5AUZH5bQ+p\nsqd+4MABODg4IDo6GieULPMnkUiwbNkypKSkqD6JifbUz50D+vZlv7u68h0Nf0pL2T/gI0dMe2jg\n/ftAu3bs3oebG9/REEvQuzcrzz7/PD/n13tPvV+/fnBxcVHZgCkma3XNncuGxVlyQgcAFxc2xd7U\nv2j99RdbTpgSOjGWwEDzq6vrNKRRJBIhMzMTYrEYHh4eWLp0Kfz8/JQeGx8fL/9zSEgIQkJCdDm1\nzrKyWM90wwZewzAZM2awcboXLzYcr2sqfv0VeOklvqMglsTYN0slEgkkEolObTR5o/TKlSsYMWKE\n0vJLZWUlmjVrBjs7O6SlpWH69Ok4f/58w5OYWPmF49g649HRrJ5OmPnz2eSrdev4jqShujq2r+SR\nI+Y1/JKYtwMH2Lf5rCx+zm/0IY2Ojo6w+/eO1ZAhQyCVSnHnzh1dmjSKtDTg1i0gJobvSEzLjBls\ndIkp7t146BCbyk0JnRhT9+5s17C6Or4jUZ9OSb24uFj+KZKdnQ2O4+Bq4gXqujo2qWDhQloA6nHO\nzmyFyvHj2U1JU7J9O21TR4zP2Zndw+FzWKOmVKa1yMhI7Nu3D7dv34aXlxfmz58PqVQKAIiLi8PW\nrVuxatUqWFtbw87ODsnJyUYJWhcbNwKOjmzNB9LQu++yr5pvvQX8+KNpTMHnOFZP37mT70iIJaqv\nq/v68h2Jeixq8lFNDVsO4Kef2FBGolx1NRvCFR3NVq3k29GjbEu+c+dM40OGWJb4eLZvMR9zOWiZ\ngCasWsVqZJTQVbO3B3bsYFv6pabyHc3DUS+U0AkfAgPZjHNzYTE99fJyNh2+fqwzaVpmJjBqFCCR\nsE01+OLnB6xdCwQH8xcDsVyXLwP9+rF9cI2NeuoqrFkDDBpECV0Tffqw7f0iItj663w4e5Z9IPfu\nzc/5CfH2ZksF8PV/QFMWkdSlUraP5bvv8h2J+Rk/npU+xo5l19HY6ksvVhbxL5WYIpGIlW3NZWap\nRfxX2byZzZLs0YPvSMzTokVsb9Pp041/7u3baRYp4Z851dUFn9Q5DvjyS+ql66JZs4e7q6vaKUbf\nrl1j9cz+/Y13TkKUMae11QWf1PftY3sRDh3KdyTmzckJ+Ogj1ms3lt9+A4YPF/5G4MT0UVI3IV9+\nycZaU01Wd5GRwPnzbNy4Mfz6K80iJaahWzf2b7+2lu9ImiboVHf2LNvRJyqK70iEoXlztkHF4sWG\nP9etW8A//wDh4YY/FyFNadmSjYI5c4bvSJom6KS+fDmb7t6yJd+RCMebbwIZGYZf9Ov334EXXqC/\nO2I6zKUEI9ikfusWG/Xyzjt8RyIsDg7sg3LpUsOeh0a9EFNjLhtmCDapr1oFjBkDtG3LdyTCM20a\nsGULcPOmYdq/fh3Yvx8YNsww7ROiDXPpqQtymYCaGlb/2ruX3+ntQjZlClvtcuFC/bZbV8dm/g4c\nCMybp9+2CdFFUREQEMCqAMZah4iWCfjXTz+xiUaU0A3n3XeBxEQ2hV+fFi1icws+/FC/7RKiq3bt\n2Ci6Gzf4jkQ1wSV1jgOWLaPJRob21FPsRubq1fpr8/BhtpzDTz+xCU+EmBKRyDzq6oJL6unpbOjd\nwIF8RyJ8778PfPWVfnZJKisDXn2VfUh4eureHiGGIBab/nIBgkvqy5axyUa09rbhBQayf+QbNujW\nDsexETVDh7KlfgkxVeZws1RQSf3cOSAvDxg3ju9ILMcHHwBffKHbxrzr1gGnThl+mCQhuqLyi5Gt\nWQNMmMDKL8Q4BgwAWrVi67Ro49w5VsZJTqaJRsT0+fqyheaqq/mOpHGCSeo1NUBSEpvxSIxHJGK9\n9blzgdxczd57/z77VvXpp4C/v2HiI0SfbGzYPscnT/IdSeMEk9S3bQOCgoCOHfmOxPK89BIwYwYw\nZAgwcSIbz9uUK1fYsU89BcTFGTxEQvTmpZdYJ9JUCSapr14NTJrEdxSWSSRiNzrPnQPatGEr2n32\nGXDvnuJxNTWszBIeDvTqBbi6Aj/8QDe1iXmZN4+VHU2VIGaUnjnDhjBeu0Zrb5uC/HxWkjlyhM04\n7daNJe+NG9mNpthY1tuxteU7UkJMm95nlE6cOBFubm4ICAho9Jhp06bBx8cHYrEYuZoWVfWk/gYp\nJXTT8PTTbG2YjRuBFSuAESPYzdS//2Y7J0VGUkInxFBU9tQPHDgABwcHREdH48SJEw1eT01NxcqV\nK5GamoojR45g+vTpyMrKangSA/bU790DvLxYwnjqKYOcghBCeKH3nnq/fv3g4uLS6OspKSmIiYkB\nAAQHB6OsrAzFxcUaBaCrrVtZfZYSOiGEANa6vPn69evw8vKSP/b09ERhYSHc3NwaHBsfHy//c0hI\nCEJCQnQ5tdzq1bTOCyFEGCQSCSQSiU5t6JTUATT4aiBqZCjDo0ldX06dYjflhg/Xe9OEEGJ0j3d4\n58+fr3EbOg1p9PDwQEFBgfxxYWEhPDw8dGlSI6tXs7HOdIOUEEIYnZJ6REQEkpKSAABZWVlo1aqV\n0tKLIdy9C/z8M80gJYSQR6ksv0RGRmLfvn24ffs2vLy8MH/+fEilUgBAXFwchg4ditTUVHTq1An2\n9vZYu3atUYIG2JC54GCgQwejnZIQQkye2U4+6tOHTXAZOVKvzRJCiMmwmO3sTpxgs0dpY2JCCFFk\nlkn9u+/YVHNrncfuEEKIsJhd+aW8HPD2ZktfGnGgDSGEGJ1FlF/WrQMGD6aETgghyphVT10mAzp3\nZpth9Omjh8AIIcSECb6nnpbGVvt77jm+IyGEENNkVkk9IQGYOpU2VSCEkMaYTfnl7Fm228jVq7QW\nNyHEMgi6/LJyJduujhI6IYQ0zix66jSMkRBiiQTbU6dhjIQQoh6T76nTMEZCiKUSZE89LQ1wdqZh\njIQQog6TT+oJCcC0aTSMkRBC1GHS5RcaxkgIsWSCK7+sXMl2NqKETggh6jHZnjoNYySEWDpB9dRX\nrQKGDKGETgghmjDJnnplJdCxIyCRAH5+houLEEJMmWB66itXAoMGUUInhBBNmVxPvaIC6NQJ2LcP\n6NrVwIERQogJE0RP/euvgfBwSuiEEKINk+qpV1SwWvrBg4Cvr6GjIoQQ02aQnnp6ejq6dOkCHx8f\nLF68uMHrEokEzs7OCAoKQlBQED777DONAnhUQgLw4ouU0AkhRFvWql6sq6vDlClTsGfPHnh4eKB3\n796IiIhA18dqIwMGDEBKSopOgZSXAytWAIcO6dQMIYRYNJU99ezsbHTq1Ane3t6wsbHBuHHjsGPH\njgbH6aOCk5DAxqV37qxzU4QQYrFU9tSvX78OLy8v+WNPT08cOXJE4RiRSITMzEyIxWJ4eHhg6dKl\n8FMyFjE+Pl7+55CQEISEhMgfl5WxpJ6ZqeVPQQghAiCRSCCRSHRqQ2VSF6mxNGKPHj1QUFAAOzs7\npKWlYdSoUTh//nyD4x5N6o9LSACGDQN8fJoOmBBChOrxDu/8+fM1bkNl+cXDwwMFBQXyxwUFBfD0\n9FQ4xtHREXZ2dgCAIUOGQCqV4s6dO2oHUFbGhjF+9JEmYRNCCFFGZVLv1asXLly4gCtXrqC2tha/\n/PILIiIiFI4pLi6W19Szs7PBcRxcXV3VDuCrr4Dhw9mEI0IIIbpRWX6xtrbGypUrMXjwYNTV1SE2\nNhZdu3bF6tWrAQBxcXHYunUrVq1aBWtra9jZ2SE5OVntk0ulrJeena3bD0EIIYThdfLRkSNAXBxw\n7JihIyCEEPNjdssEHDgA9O3LZwSEECIsvCb1gweBfv34jIAQQoSFt/KLTAa0bQvk5QHt2xs6AkII\nMT9mVX45exZwdqaETggh+sRbUqd6OiGE6B9vSZ3q6YQQon+89tQpqRNCiH7xktQLCoC7d2lFRkII\n0Tdeknp9PV2N9cIIIYRogJekTvV0QggxDN566pTUCSFE/4w++ejOHcDbm/1urXI5MUIIsWxmMfno\n0CEgOJgSOiGEGILRkzrV0wkhxHCMntSpnk4IIYZj1Jr6vXtAmzbArVvAvzvgEUIIaYTJ19SPHAEC\nAiihE0KIoRg1qVM9nRBCDMuoSZ3q6YQQYlhGq6lLpRxatwby84HWrQ19RkIIMX8mXVM/fhzw9KSE\nTgghhmS0pE71dEIIMTyjJXWqpzMSiYTvEEwGXYuH6Fo8RNdCN00m9fT0dHTp0gU+Pj5YvHix0mOm\nTZsGHx8fiMVi5ObmKj2Gtq9j6B/sQ3QtHqJr8RBdC92oTOp1dXWYMmUK0tPTcfr0aWzatAlnzpxR\nOCY1NRUXL17EhQsXsGbNGkyePFlpWy1aAB066C9wQgghDalM6tnZ2ejUqRO8vb1hY2ODcePGYceO\nHQrHpKSkICYmBgAQHByMsrIyFBcXN2iLSi+EEGIEnApbtmzh3njjDfnjDRs2cFOmTFE4Zvjw4dyh\nQ4fkj8PCwricnByFYwDQL/pFv+gX/dLil6ZULoArUnO/ucfHUT7+PiMMhSeEEIImyi8eHh4oKCiQ\nPy4oKICnp6fKYwoLC+Hh4aHnMAkhhKhDZVLv1asXLly4gCtXrqC2tha//PILIiIiFI6JiIhAUlIS\nACArKwutWrWCm5ub4SImhBDSKJXlF2tra6xcuRKDBw9GXV0dYmNj0bVrV6xevRoAEBcXh6FDhyI1\nNRWdOnWCvb091q5da5TACSGEKKFxFV5DaWlpnK+vL9epUydu0aJFhj6dSZkwYQLXtm1brlu3bvLn\nSkpKuEGDBnE+Pj5ceHg4V1paymOExnPt2jUuJCSE8/Pz4/z9/bkVK1ZwHGeZ1+PevXvcM888w4nF\nYq5r167c7NmzOY6zzGvBcRz34MEDLjAwkBs+fDjHcZZ7HTiO4zp06MAFBARwgYGBXO/evTmO0/x6\nGHRGqTrj3IVswoQJSE9PV3hu0aJFCA8Px/nz5xEWFoZFixbxFJ1x2djYYPny5Th16hSysrLwzTff\n4MyZMxZ5PWxtbZGRkYFjx44hLy8PGRkZOHjwoEVeCwBYsWIF/Pz85AMsLPU6AGyQiUQiQW5uLrKz\nswFocT0M+amTmZnJDR48WP544cKF3MKFCw15SpNz+fJlhZ66r68vd/PmTY7jOK6oqIjz9fXlKzRe\njRw5ktu9e7fFX4/q6mquV69e3MmTJy3yWhQUFHBhYWHc3r175T11S7wO9by9vbnbt28rPKfp9TBo\nT/369evw8vKSP/b09MT169cNeUqTV1xcLL+R7ObmpnSiltBduXIFubm5CA4OttjrIZPJEBgYCDc3\nN4SGhsLf398ir8XMmTPxxRdfwMrqYSqyxOtQTyQSYdCgQejVqxcSExMBaH49VN4o1UeApHEikcji\nrlFVVRVGjx6NFStWwNHRUeE1S7oeVlZWOHbsGMrLyzF48GBkZGQovG4J1+KPP/5A27ZtERQU1Oh6\nL5ZwHR516NAhuLu749atWwgPD0eXLl0UXlfnehi0p67OOHdL4+bmhps3bwIAioqK0LZtW54jMh6p\nVIrRo0cjKioKo0aNAmDZ1wMAnJ2dMWzYMBw9etTirkVmZiZSUlLw1FNPITIyEnv37kVUVJTFXYdH\nubu7AwCeeOIJvPTSS8jOztb4ehg0qaszzt3SREREYP369QCA9evXy5Ob0HEch9jYWPj5+WHGjBny\n5y3xety+fRtlZWUAgHv37mH37t0ICgqyuGuxYMECFBQU4PLly0hOTsbAgQOxYcMGi7sO9e7evYvK\nykoAQHV1NXbt2oWAgADNr4ehCv71UlNTuc6dO3MdO3bkFixYYOjTmZRx48Zx7u7unI2NDefp6cn9\n+OOPXElJCRcWFmZxw7UOHDjAiUQiTiwWc4GBgVxgYCCXlpZmkdcjLy+PCwoK4sRiMRcQEMAtWbKE\n4zjOIq9FPYlEwo0YMYLjOMu9Dvn5+ZxYLObEYjHn7+8vz5eaXg+j7FFKCCHEOIy28xEhhBDDo6RO\nCCECQkmdEEIEhJI6IYQICCV1QggREErqhBAiIP8Pr7lqUwnAM9AAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2b4e350>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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3WsHuIJOLRERqvCob3PXx8SEjI8P+fUZGBr6+vlX18iIi8ocqC/7O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\ncTL/H4k8w4sbDjVlAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe64c2e7610>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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RYz5ggDgtpnFj/V2rf38xyXn4MPDhhyLlNHOmOG7tyhVRsfLJJ2KTrY8+ev4w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\nTUQkEwzYREQywYBNRCQTDNhERDLx/79yE9gY49CgAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ac3cd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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RlaWOubexgeRk9ctWQnRUUukLcQllZbBkCdx8M/ztb/D995LwRccnSV+IOhQF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\n",
"text": [
"<matplotlib.figure.Figure at 0x2ac3dd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x2b4e350>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Ny16ZkjsrPIK4UaNGPPLIIxw7dgyDwUBycjIASUlJNG/evHJ3D1Et/v1v1WH2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\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe64c2e7a50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x2b4e350>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(range(frame_number), msd_avg_avg)\n",
"plt.title(\"Time Shifted Avg MSD\")\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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wLkVFMGQItG8PW7dKuNsjLXTSSMALYWU5OTB4MMTEwLvvyt2Y7JUWTrTKFI0Q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\ntE/dE6QrXxEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe64c2d1250>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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