From 163052bcb1edfd5dad3cd08ae1df3396fff6c99d Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Sun, 24 May 2015 17:00:26 -0700 Subject: [PATCH] Minor edits. changed variable name, cleaned up a few expressions. --- 06_Multivariate_Kalman_Filters.ipynb | 422 ++++++++++----------------- 1 file changed, 157 insertions(+), 265 deletions(-) diff --git a/06_Multivariate_Kalman_Filters.ipynb b/06_Multivariate_Kalman_Filters.ipynb index bbba100..ffe79c1 100644 --- a/06_Multivariate_Kalman_Filters.ipynb +++ b/06_Multivariate_Kalman_Filters.ipynb @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -237,7 +237,10 @@ " },\n", " displayAlign: 'center', // Change this to 'center' to center equations.\n", " \"HTML-CSS\": {\n", - " scale:85,\n", + " scale:100,\n", + " availableFonts: [\"Neo-Euler\"],\n", + " preferredFont: \"Neo-Euler\",\n", + " webFont: \"Neo-Euler\",\n", " styles: {'.MathJax_Display': {\"margin\": 4}}\n", " }\n", " });\n", @@ -247,7 +250,7 @@ "" ] }, - "execution_count": 1, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -375,7 +378,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -384,7 +387,7 @@ "data": { "image/png": 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VVcXrLZ+IdbH5x673eKpzQ8KyD06dx2mtBzquH41GJ9XxyZdspjbOJqJc6IhQ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\nRVBQ0AX7PS4W27dvx969e9G/f3/cf//9eO+991xKJF555RW8/PLLWLt2LXr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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -435,7 +438,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -457,7 +460,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -475,7 +478,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -493,7 +496,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -512,7 +515,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": { "collapsed": false }, @@ -545,7 +548,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -554,7 +557,7 @@ "data": { "image/png": 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LSAayvgFP8OvI9AmasOsyfOblafcNy9fhMVekXQ9g4sFgIjLNuLVfo2mz8Xv/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\n0tOPmfA2NDTw2Wef8eGHH+L1epkwYQKXX345HTp0OKbfjwCeeOIJHnnkEb7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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -582,16 +585,16 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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7kfr1WtgPvutfx1K3B1lv/Rwd318DT+4ceLKnw9K+2788q/oZ+ErWAugbYMSS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\nC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2efdXL55T4uvRRSU2UlteBg+NvfHNx0k8GUKR6WL9dYtkwnJcWiuFjhl7/0kJCgEB6u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\nv4QQQgghxG5Q+CWEEEIIIXbj/wAr1WrCzOVmLAAAAABJRU5ErkJggg==\n", 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uJO4HEHkmBdA/gLWviN/BgxWCr+NAzTP01Vdflfw/f/58zJ8/X9d+GA0Rvwag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PXrbbZu1XjpJUdffOaZRlbyK4Tg8sstolHJk0+qHDmicsUVSRoaIJkU+P02NTXOeqbpSEmKiyWh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\nNBaRkL5D4ZcQlmRnZyMxMRG7du1CREQE9uzZgwMHDuDGjRsa4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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -618,7 +621,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": { "collapsed": false, "scrolled": true @@ -628,7 +631,7 @@ "data": { "image/png": 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cZyGi4GNhTkQEsFvuU22ZGOqWipLagGU7XodDRLSsWJgTUei5rkClrkM1VLSl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\nWCIaM+OeBbIsIeFZCMoBiuUysknezGZYWmEHrRbgex4SvKn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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -657,7 +660,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": { "collapsed": false }, @@ -666,7 +669,7 @@ "data": { "image/png": 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HX0FG3atgsl7Coak67A4rxYbe6o02YzxwqMgiHN+Ntd05EdF80HalutFo4Omn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\nlsORUh8qzSaabgNWw0K5YsL2bYiCAEE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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -742,7 +745,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": { "collapsed": false }, @@ -751,7 +754,7 @@ "data": { "image/png": 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ail6TLiIiKYe3tzctW7Y0dwqdPXu2GdBXrFiBu7s7cXFxdO7cmbVr11oF9IUL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\n2xMTE1WnTh35+vpq7969dqwQAJwfK+kAABulS5fWvHnzFBc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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -778,7 +781,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": { "collapsed": false }, @@ -787,7 +790,7 @@ "data": { "image/png": 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YsEHe/SGEeCWjrEkXQgghnqcoCvfva7h0SSEszIRHj9SA/t3m0dE38PP7kseP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\nqVQKJycnPH36FD179sSUKVO+2Ni7d+9G586d8fDhQ1hYWCAmJgbffvv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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -968,7 +971,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": { "collapsed": false }, @@ -999,7 +1002,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": { "collapsed": false }, @@ -1016,7 +1019,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1041,7 +1044,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": { "collapsed": false }, @@ -1050,7 +1053,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1071,7 +1074,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": { "collapsed": false }, @@ -1080,7 +1083,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1115,7 +1118,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "metadata": { "collapsed": false }, @@ -1124,7 +1127,7 @@ "data": { "image/png": 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XqiQWM9hzit239E3FNo5pzsSJE1nt9PR05OXltft87RE8HeA3yTbSsuhhUUJa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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1189,7 +1192,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": { "collapsed": false }, @@ -1198,7 +1201,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1219,7 +1222,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "metadata": { "collapsed": false, "scrolled": true @@ -1229,7 +1232,7 @@ "data": { "image/png": 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PXj9FTeni/8GqNC9+sb2jfyzZpYhIEihIi8iMdfjGiMenKFOQToo2n4tf7Cvi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\nWfjF3nR6R0vIzVnOY59Zz6aG8mSXJSI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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1251,7 +1254,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": { "collapsed": false }, @@ -1260,7 +1263,7 @@ "data": { "image/png": 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+efPvGJrIE/Gn+cq7/4cTWwdmZWzLgq/d8Sb6J2rx2r2cf1qQt13QzImLFn6b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\nLJfTwbLWGnzeduJpF0dGFKbl+JmmxYG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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1290,7 +1293,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": { "collapsed": false }, @@ -1299,7 +1302,7 @@ "data": { "image/png": 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PpLMvmLiIIFL0E/P+/9drIf8t5i8Z28CWlZU1436v/I3ub2vFPys7O5vs7Ozp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\nASeip8ICTkS/WD6eCkx8NlLsGL9YUqmA+ZMNiAr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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1321,7 +1324,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": { "collapsed": false }, @@ -1330,7 +1333,7 @@ "data": { "image/png": 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OqrPWoVNSt+PH1Toz8p2Vlc24P0SaMYBOUUi3paHTZZMVzaCp7whNDj+5+Ta2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\noicWolWjvjkI5oZqaDVK+D1kMXi33YnG1m40tHb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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1362,7 +1365,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "metadata": { "collapsed": false }, @@ -1371,7 +1374,7 @@ "data": { "image/png": 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QyNCALyCLJaAEh9lposPpNxkuL5vO1D0AUIRGpLu7u/UXf/EXWrBggW666Sat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\n8XK/okiP4Fe/+pXuuusu3Xv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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1396,7 +1399,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, "metadata": { "collapsed": false }, @@ -1405,7 +1408,7 @@ "data": { "image/png": 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PpodskwBPCw5FdpkrBul6vc6tt97KAw88QCwWu+zltU984hP8/u//Pn/0R3/E\n448/zuDgIPfccw+1Wu1VHlFEdpK1TmHvL6566myFR5+ocPbFBIdTbyBmxS8e8wOfxwrfAOADdz7K\nXUfUDNgKhgE//7av888OPY8TOBwvfvOS49lwH9fFjvDcc1G++K0llkvtLlV6ddZ+AgK2QfNcRDbR\nFYP0vffey3/4D/+Bn/qpn8I0L/3UIAj4wz/8Q/7tv/23vO997+PIkSM8+OCDVKtV/uIv/uKaFi0i\nvSEAgoCe797+7bfmOXMmwnhsP3H70guAnKu/yGpnhaFMiZ/9kUe7VOHuZBjwr971JUKWy4u15yl1\nVi853hfpJ8MoZ8/ZfOnbi12q8upc+BnYDmMoIrJ51j0jffbsWRYXF3nHO95x8b5oNMrb3vY2vvnN\nb17hX4rITvH9jnS3K3l1i8UW0wsd6pUoI9Gxy47PNqYA+Bdv/ieiIWery9v1xvqK3HXkaQBmm9OX\nHd8T38vycoinzlVeuvhPb1r7GVCIFtlt1r1rx8LCAgBDQ0OX3D84OMjc3Nyr/rvjx4+v90uKAHoO\n9ZLZQoNyfZZGoUM63ps7FZw812J21iHkDFEqlS47vticB9a2aJPumNx/loefeANz1VnG/L2XHXea\nFmenynz9sScZyYW6UOFrW664FKppSosl+tPRbpcjP0DnDVmvQ4cOXfH4Ndm1o9fnJUVkc/Xyj7zn\nBXi+gWW8ctD3grUuZyLS2sqy5GUu/Lf3gldeqGcbFr5voHV8ItJr1t2RHh4eBmBxcZHx8fGL9y8u\nLl489kruuOOO9X5J2eUudBT0HOod+fkic8tx9gw4PXslOidS5uHvzTJbhFw2d9nxZDNJs11neqWf\nkdzlHWu59qZWBgDIxDLkcpf+P/IDn2A1YHAwxR233UA+3ZvPs7lCk3wtw/7R/Qz3JbtdjrxE5w3Z\nqHK5fMXj6+5I79+/n+HhYR566KGL97VaLR599FF++Id/eL0PKyLbUC+vr7phT5L+vE8jKNN66ZLf\nLzcaW2sEPPLM4a0uTVh77nzjmZsAGI3tuex4qbNKLNFmYjjSsyH6AsMw6OEXZ0TkGnjN7e9OnjzJ\nyZMn8X2fqakpTp48yczMDIZh8LGPfYxPfOIT/M3f/A1PPfUU999/P6lUip/92Z/dqvpFpIvWxriM\nng7S0bDFGw9mGBvrcKZ2+rJdFQ4kDmFg8P+dvI3T86/+appcGw898Qaenx8lakYvC9Je4HG2/gJ7\n9nR48437GXCWAAAeyElEQVSXv5rQS9aeVoZGG0V2mSsG6ccff5zJyUkmJydptVocO3aMyclJjh07\nBsBv/uZv8uu//ut85CMf4Yd+6IdYXFzkoYceIpFIXOlhRWSHMOjt+egLfuLOEQ4e8HAiK8w0zl1y\nLBvu46b0LfiByR/+/XtwvN5cNLkTlepx/u+H7wHgjr4fJmx+v+PsBz6nq8+Qztc4cjDEP7+1/9Ue\npidc+PtsO/w8iMjmuWKQvuuuu/B9H9/38Tzv4vt//ud/fvFzjh07xtzcHM1mk69+9ascPqyXR0V2\nC9M0AAvf7+GWNJCOh/i5HxvnyOEmBc4yXT97SWf6jbk3EbPinJrdw2/9jw9SbWrXhWttttDHv/rz\nX6JUTzIUGeFg8oaLx7zA43T1GfzEArcccfjg3XuwevzqmZ4fYGBiKkmL7CrXZNcOEdkdQraFado4\nPby/7wW3HsjwC/eOc/PNTSqhM5yqPEHHX7taXtgMc/fQe4hZcU6c289H//yXWChlu1zxzvXk9B4+\n8mcf5vxqnr5wP3cNvuPiSETdrfFE6TuYmXnecHOHXz26n7H+WJcrfm2O54NhE7L1iobIbqIgLSLr\nFrJMDGwct7c70hfccX2Of/W+vbz5DofU8CLfKx1ntbNCEAT0RwZ47+hPkQ31MbUywK/+6Yd5cnqi\n2yXvKEEAD33vVn7jsx+i0owzHpvg3SM/SdxOEAQB883zPF39DmMHVnnrmwL+r/uuY+9Q/LUfuAe4\nboBh2IRsnVZFdpN1b38nIhKyLTC2R0f6gsN70/zWzxzif/zDDI8/XeHFF5/gfCPHWHwPuVCe94y+\nj68ufpm5+iz/+v/5Rd520yl+6e1fYaK/0O3St7Unpib41D/cw9OzawsKb0gd4Z/lfwSAxdY855sz\nhOJVbnlDm7dPZvkXbx0lHNo+odTxAkKWOtIiu42CtIisWzhkYRg27jbpSF+QSYT41aP7+erECg9/\nZ4np84tMny8yXU8xFp/g7qF3c7J0nKcr3+ORZw7z6LM38p7J7/Khf/418qlat8vfVs4uDfKnX/kx\nvvn82gx01IwymXsz1yVvYKF1nrnmLLF0netudDiwx+LoD+/htusyXa769QmCANeDqGljW9sn/IvI\nxilIi8i6hSwT07Rpd7ZPR/oCwzB4+xsHuPPmPr759CpfPbnCudkVZs9XmC4lGYvt4WDyRp6qnOR0\n9Rm+8J07ePiJW/nJH/o27739O4z1Fbv9LfSsIIDn50f5m2+/iYefuBU/MLENm5szt3EoeRNFp8CJ\n0j+RzjW58boOh/aGuXtylMmD2ZcWsG4vjhtgGJbGOkR2IQVpEVk3yzKxTAvPN/D9YFuGoEjI4kdv\nG+BHbsnz+HMl/uG7y5yZKTA/X2WqGCIXzvMj/T/G2foLzDTP8VfffCt/9c23ctu+s9x72wneeuOz\nxCOdbn8bPWG1luAfn7qZL52Y5MzSEAAGBoeSNzIW20PNrfJ0/Tj5vMvNNzjctD/KPZMTHNmX2tb7\nLzuej2mENNYhsgspSIvIhoTstfEOx/OJmNs3SNiWyVsO9/HmG3OcfLHMY8+s8uxUjZVCk5WCTdJJ\ncFPoFsqdIovteU6e28/Jc/sJ2w5vPvgCdx15mjcfOk0i0u72t7KlVmsJHn32Jr729BG+N7UXP1jr\nyobNCEPREVJ2BqwObuos4/0uA/0BN+9L8dZbxjg4mtjWAfoCxw3WduzQWIfIrqMgLSIbErJMTGNt\n545IqNvVbJxpGkweyjJ5KEu14fLEmTInXijz/GyNYtFitRgjW7iOcqtF1SlTcct849mb+MazN2Ea\nPgeHF7h17xS3Tkxxy8Q02USj29/SplooZXhiai9PTO/lyekJplcGLh4zMMiFciRDaXKJCPk+j1yu\nQr4v4PDeFG88mOHIvhSR0Pb9g+uVuJ6PYUTUkRbZhRSkRWRDvr9zh9vtUjZdKm5z58157rw5T6Pt\n8cx0lVPnKpyarrJSNKlV8xRKfcwW6hTqVZpek+fnR3l+fpT/9dhbANjbv8wtE1PcuneaG0bnGMkV\nCVlel7+zq9PshDi/mufU7BhPTu/liam9LFUuXQhoYBC34wymUozlY+QyBqmUx3De5fC+NDfvS3Fo\nLLmj54c7rq+t70R2KQVpEdmQaNjGNCM0221yyW5Xc+3EIxa3H8py+6Esvh8wv9pieqnJ1GKD6aUw\n51diFEsBs0sOi8U2xXqLutNkamWAqZUBvvjdOwAwDZ+RXJHxfIE9fQXG82u3PfkC/ekqprG1O6B4\nvslCKctMIc9sIc/MS7fZQp7lyuW7Z5iYJCMx8skYw31hxgZD5DKwZyDGxFCcicEYewfj9GfCO2Js\n42o02z6mGSG2E16SEZHXRUFaRDYkHg1hmjEa7d2zi4VpGoz1xxjrj/GWw30AtB2P2eUW00uNl8J1\nk/lCm4WCw3yhw3K5RbXVoeW4nF/Nc341zz/9wONGbIdcskY61iQda5KKNUnHGt9/P752fyzcwTR8\nLNPHNANMwweMtUWfgYnvG3i+Sb0dodKMU23GqDRjVBoxqq0YlUacSjNGtRljtZbE9V95JMEAYuEQ\nmXiEgUyE0f4IQ30WYwMxJgbj7B2MsXcozkhftOcv4X0tNdoeoXCUuIK0yK6jIC0iG5KIhjDNKM32\n9tsCbzNFQhbXjSa4bjRx8b5Wx6NQ6VxyW1htcWa+ztRik+WSQ6nmUmm41FoObRcWSjkWSrktrT0a\nsklGQ2QSNrmUxWAuzL7hBAdGEgxmw+TT37/1pcIaYXiZjuPj+SYJO0x4h81+i8hrU5AWkQ0J2RaR\nUJhWy6Lj+NvqanTXWjRsXexc/6AgCKg0XAqVDsWaQ6PlslLpsFxaC9yr1Q6lmkO57qwF7aZLvenR\n6ni4XoAfrD2GH4Drrs2nh2wbw1jbI9s0IGQbxCIWiahNKm6TjttrYTkZJpcK0Z8JM5iNkkuGiEet\ni2E5HrF2zVjGRjXaHqYRJR5VN1pkN1KQFpENi0dDVOtRGm1PQfoqGYZBJhEik7j6ABYEAY4b4Acv\nC9I+PPvsswDceOONmCaYhoFhgGUa2JahUHwNNdseppUiEQ13uxQR6QIFaRHZsHhkbbyj0a6QTaoz\nd60YhkE4dHkoTkTX/nhJxfUrfas12h6mqY60yG6l1pGIbNj3Fxxuj23dRDbLxSCthYYiu5KCtIhs\nmBYcym50YaFhWAsNRXYtBWkR2bALCw49f23BochuoIWGIqIgLSKbYq0rHafa3HlXOBR5JdWmi2Un\nSMa00FBkt1KQFpFNkUlGsa0U5brT7VJEtkSl7mCaSTKJaLdLEZEuUZAWkU2RTUax7ATVhofvb+1l\nrkW2WqPt4fohYpGYRjtEdjEFaRHZFLZlkoxFMQyNd8jOp260iICCtIhsorWudFLjHbLjlesOlpUi\nm1SQFtnNFKRFZNNkEhEsK0mlro607FyO69PsGETCCVJxLTQU2c0UpEVk08QiazOjXhCm3lKYlp2p\n/NJYRzoe0eXXRXY5BWkR2VQXutIa75Cdqlx3sa0kmUSk26WISJcpSIvIpsomoxrvkB3L9wNqTR/b\nTpLRfLTIrqcgLSKbKhkLEwklaDkWjbbX7XJENlWx5mCYcVLxKLalU6jIbqffAiKyqQzDIJ+JEwrl\nWCm3u12OyKZaKbex7Rz9mXi3SxGRHrDhIF2tVvnYxz7Gvn37iMfj3HnnnRw/fnwzahORbWogE8e2\nsxSrHp6ni7PIzlBvubQcm2g4RS6lsQ4R2YQg/eEPf5iHH36Yz372szz11FO84x3v4O6772Zubm4z\n6hORbSgStskm4xhmitVqp9vliGyKlXLnYjdau3WICGwwSDebTT73uc/xu7/7u7ztbW/jwIEDHDt2\njIMHD/Inf/Inm1WjiGxDA5k4oVCWlYqCtGx/rudTqnmE7AwD2US3yxGRHrGhIO26Lp7nEYlcugVQ\nNBrl0Ucf3VBhIrK9ZZJRYpEkHTdEpaGt8GR7W604mFaKbDJOOGR1uxwR6RFGEAQbGmC88847sSyL\nv/qrv2JoaIi//Mu/5P777+fQoUM888wzAJTL5Yuff/r06Y1VLCLbxkqlxVJ5hURklfF8qNvliKzb\niwsdXH+EiYEcyaieyyK7xaFDhy6+n8lkLju+4Rnp//7f/zumaTI+Pk40GuWP/uiP+MAHPqD5MREh\nmwhjkKDWCnBcLTqU7ane8nG8MOFQTCFaRC6x4Y70Bc1mk0qlwtDQED/90z9No9HgC1/4AnBpR/qV\n0rzI1biwG8wdd9zR5Urk9Tg7X2R+ZYp8qsZoPtbtcnakU6dOAXD48OEuV7IzvThXp+0OsG9kD0N9\nyW6XI6+DzhuyUa+VYTdtH+lYLMbQ0BDFYpGHHnqIn/iJn9ishxaRbWwwmyAUyrFccnE9v9vliLwu\ntaZLtWkQDmfJa+9oEfkB9kYf4KGHHsLzPG688UZeeOEF/s2/+TfcdNNN/MIv/MJm1Cci21wiFqYv\nlWLRybKwWmN8QF1p2T7mCy3CoSGG+5K6kqGIXGbDvxXK5TIf/ehHuemmm/jQhz7E2972Nr785S9j\nWVrVLCJrxgbShEN5ViouHUddadkeynWHRscmGskylNNIh4hcbsMd6fvuu4/77rtvM2oRkR0qGrYZ\nyKaYW+ljrlBm37BeIpfeN19oEQqNMpJPYZpaQC8il9PrVCKyJUbyKSLhPKW6T7PtdbsckStarXbo\nuBESsSwDWf3hJyKvTEFaRLZEOGQxmEsRCvUzV2h1uxyRVxUEAQurLULhQUbzKW3nKiKvSkFaRLbM\ncF+SSLiPatOg1nS7XY7IK1opd3D9BMlYmr60FseKyKtTkBaRLWNbJsN9ScKhAebVlZYe5PsBC8U2\nodAgY/2pbpcjIj1OQVpEttRQLkksmqPRCVGodLpdjsglzhdaYKTJJJJkktFulyMiPU5BWkS2lGka\n7BlMEw6Pcn6lre3wpGdUGy6Fik8kPMTEkK7CKyKvTUFaRLZcLhWjP5PBtPJMLze6XY4Ivh8ws9wg\nHB5htD9DLBLqdkkisg0oSItIV0wMZYhHB6i3NOIh3Xe+0MIL0qQTWYb7dPEVEbk6CtIi0hW2ZTIx\nlNGIh3Tdy0c69g1ntd2diFw1BWkR6RqNeEi3aaRDRDZCQVpEukojHtJNGukQkY1QkBaRrtKIh3SL\nRjpEZKMUpEWk6y6MeFj2AGcX6vh+0O2SZIfrOD5Ti03C4VGNdIjIuilIi0hP2DuUIRkfoO2mmF5q\ndrsc2cF8P+DsQh3DGqAvnWMkrysYisj6KEiLSE+wLJODY33EY6NUGjaLRV1CXK6NqaUGHS9FKj7A\ngZFct8sRkW1MQVpEekY0bHNgJEckMs78qke57nS7JNlhFlZbVBshYtFRrhvrw7J0GhSR9dNvEBHp\nKZlklPHBtTA9tdii1fG6XZLsEKWaw0LRIxIZ57rRPqJhu9slicg2pyAtIj1nuC/JQDaHbQ9zZr6O\n52nxoWxMs+0xvdQiEhlnz2COdCLS7ZJEZAdQkBaRnrRvOEsm1Y9PH2cW6gSBwrSsj+v5nF2oY9sj\nDOb6GNJ+0SKySRSkRaQnGYbBdaM5ErFhmp2YdvKQdfH9gLPzDXz6yKTy7B3KdLskEdlBFKRFpGeF\nbIvrRnPEouOU6yFmlhWm5er5fsCL83VabopkfJjrRnO66IqIbCoFaRHpaYlYmEPjeWKxPRSrFrMK\n03IVgiDgzEKdZidJKjHG9eN5QrbV7bJEZIdRkBaRnpeKRzg41k8sNkGhajJXUJiWVxcEAWcXGjTa\nCVKJcQ6N54lohw4RuQYUpEVkW0gnIlw3micWnWC5bHB+RWFaLhcEAWfmG9RaMZLxcQ6Na5s7Ebl2\nFKRFZNvIJKNrnenoXgoVSzPTcgnfD3hhrk69nSCVmOD6PXlikVC3yxKRHUxBWkS2lUwyyqHxAWKx\nCYpVm+mlRrdLkh7g+wEvztVpOUlSiXGFaBHZEgrSIrLtpBMRDo33E4vtoVQL8+KcLtqym7Udj+dn\na7TcNKnEODfsyWucQ0S2hIK0iGxLqXiEG/YMkEzspdFJ8/z5Gm1HlxPfbaoNl+dn63gMkE2Nc8Oe\nfi0sFJEts6Eg7bou/+7f/TsOHDhALBbjwIED/PZv/zaep5OZiFx7iViYm/YOkE2NETDEczMNKg2n\n22XJFlkptzkz38KyJ+jPjnDjRD/hkLa4E5Gts6E/2//Tf/pPfPKTn+Szn/0st9xyC9/73ve4//77\niUQifPzjH9+sGkVEXlU4ZHHjRD/nFmxWymHOzp9npM9nMBfpdmlyjQRBwMxyk2LNJBLdx2g+x9hA\nuttlicgutKEg/fjjj3P06FHe8573ADAxMcF73/tevv3tb29KcSIiV8M0DQ6M5ohFbGaXQ8wXZ2h2\nGkwMxnQlux3G9XzOzjdoOnHisVH2j/SRS8W6XZaI7FIbGu249957+cd//Eeee+45AE6dOsVXv/pV\n3v3ud29KcSIir8dIPsWh8UHisf2UGzFOn6/juH63y5JN0mx7PDdTp+1lSScnuHFiUCFaRLpqQx3p\nX/3VX2V2dpabbroJ27ZxXZePf/zj/Mqv/Mpm1Sci8rpkk1Fu2jvAC+ctao0lnp1ZYXwgSi4Z7nZp\nsgFLxTbzqx1CoRFyqTwHRnO65LeIdJ0RBMG694z6r//1v/Kf//N/5oEHHuDIkSOcOHGCX/u1X+O/\n/Jf/wi/+4i9e/LxyuXzx/dOnT2+sYhGRq+B6PnOrTWqtOkGwTCrqMZS1sS2NemwnbcdnvujScqIY\nRj99yThD2ahGdkRkSxw6dOji+5lM5rLjGwrSQ0NDfPzjH+ejH/3oxfv+43/8j3zmM5+5JDArSItI\nt5TqHRZLTVxvFcuoMJS1SMfVydwOClWXlUoARh9hO81wLkYyqousiMjWea0gvaHRjiAIMM1Lx6xN\n0+RK2fyOO+7YyJeUXez48eOAnkPy+nUcj6nFEsVqmU5nnljcY89ADNvaGVvpnzp1CoDDhw93uZLN\n0ep4TC81yUSjDIwPM5jNMD6Qxtoh/79k6+i8IRv18mbwK9lQkP7Jn/xJfvd3f5f9+/dz+PBhTpw4\nwR/8wR/woQ99aCMPKyKyqcIhi0PjeVbKMWaWYtTbSzwzvarZ6R50YRbaDg2STuXZO5QlndBWhiLS\nmzYUpP/gD/6AdDrNRz7yERYXFxkZGeFf/st/ye/8zu9sVn0iIpumPxMnHY8wtRimWE0yvbRAsVpn\nNB8lGta4RzdVGy5zhSZtJ0Ykul9daBHZFjYUpBOJBL/3e7/H7/3e721WPSIi19Sl3ek4zc4qz82s\nkE2ajPRFCYcU3LZSo+0xV2hSb1mE7BHSqay60CKybWwoSIuIbFf9mTjZZJT5QpylYpZqq0BpepX+\njM1QLrJj5qd7VdvxmC+0KdV9QqEBkok+hvuSDGYTmKZ25BCR7UFBWkR2Ldsy2TOYYSiXZK6QYKWU\nY7W2QqFSZjAbYjAbUajbZI7rs1BsU6i42HaeRLyPoVyK4b6kxjhEZNtRkBaRXS8cstg3nGUol+D8\nSoJitcpSeYWVcpWhXJh8OqxAvUGO67NcbrNccrHsHPFYnv5MktH+lC6sIiLbloK0iMhLYpEQB8f6\nqDWTnF9OUK5XmS+uML9apS8Voj8T1qLE16nWdFkpdyjVPSwrTSTaTz6dYrQ/RTSsU5CIbG/6LSYi\n8gOSsTA3TPRTriVZLKYp1+uUGiVWKiUS0YD+TJhsIqSr670K3w9YrXZYKXdouyFsu494LEsuFWco\nlyAR05aDIrIzKEiLiLyKTDJKJhml1cmwXMpQqAzSbpeZWSpy3qiST4fpz4QJ2ZrtBWi2PVYqHYpV\nB4wktj1EOplkIBunPxPXCIeI7DgK0iIiryEattkzmGGsP02hkmK51EetWWelWmSxVCYVM8kmQ6Tj\n9q4L1W3Ho1xzKdcd6m0D284SjmTJJBIMZNd2RlHnXkR2KgVpEZGrZJoGA9kEA9kEteZal3q10qDt\n1jhfqDKzXCcegXTcJpMIEYvszA5srelSaTiU6y5tx8SykljWAKlkinw6xkA2oflnEdkV9JtORGQd\nkrEwyViYPYMZSrUW5VqLSqNNx6mzXKmxUKwSslwyiRCZRIhkzNq2nVnfD6g01rrOlYaLH4SxrDSW\nlSSdjK+NwCQiZBJR7W4iIruKgrSIyAbYlkl/Zm0G2PcDqo32WrCut2l1mpQaVVarNYKgQSxiEo9Y\nxCIW8YhFNGz2XLgOgoBG26PZ9mi0PRotj5YTYBpxLLuPUDhFPLI2O55NRklq4aCI7GIK0iIim8Q0\njYsLFAHqzQ7l+lqwbrQ7uF6LcrPFaq1FELQg6FwWrsO2iWVtTbh2PZ+2418Wmg0jgmlGL97isbXA\nnH3pe9PYhojIGv02FBG5RhKxMIlYmNH+FJ7n02g7NFoOjbZDveXQ6jiXhesgcDHwCNkGIcvEfult\nyDawX/b2QtQ2DOi4AQCtjkcQQMBaZ9n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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1430,7 +1433,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 27, "metadata": { "collapsed": false }, @@ -1439,7 +1442,7 @@ "data": { "image/png": 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+i68ewzDwBSL4Al6G/QOMBHQCAQuDXjua6kTV7FjNVtyODwK53Wq++D+OEELM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\nITMzE1999RVsNlv7mn9vb2+o1Wo5o1MXPOmzO3jw4A7nq1Q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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1478,7 +1481,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 28, "metadata": { "collapsed": false }, @@ -1487,7 +1490,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1508,7 +1511,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 29, "metadata": { "collapsed": false }, @@ -1517,7 +1520,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1543,7 +1546,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 30, "metadata": { "collapsed": false }, @@ -1552,7 +1555,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1572,7 +1575,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 31, "metadata": { "collapsed": false }, @@ -1581,7 +1584,7 @@ "data": { "image/png": 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E12mn/qqrrnK2QDsajz/++HEVBAA4fvasefvXbTv1SX6f0+luv94L7E59Wmqy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\nSU8//bT69++vU045Rbfeeqt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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1601,7 +1604,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 32, "metadata": { "collapsed": false }, @@ -1610,7 +1613,7 @@ "data": { "image/png": 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2QWSkCewZGXDBBaWBftMm04KTkADZ2aXVeh8f+OADc+KsiIiUU+mdrX379nXj\nMkRE5FhSM/IAiAgNBIpKXgeU3PNgpb6kAl8mvxMV0Yj07HyK7aUXh2z8Bl5+13zSvDns22cOiEpP\nN4dJDRliRltec42ZehMdDUeOQGammXKzcaOZVb9wIVx2WW1+iyIiXuOYof6mm27CYrHw6quvYrPZ\nXJ//k3nz5tXoAkVEGrrylfrMMq89W6kvKjYtNvYyqT4qPJi/9h12hfo7DvzCw/FLzc3mzU2bTUwM\npKSY02NvuMH02Q8fDl99BRERpn8+Pd3Mod+0ybTnzJ9vQr+IiFTomKH+u+++w2KxYLfbsdlsrs+P\nxZNj1URE6jNnNT4iNBDyM0tf49lQ72yxsZepykeHNwJM4B+z/2dmb/+fuREbawJ9bCwkJ5tJNmPH\nmrGVt90GH35oJtrYbHDokOmn37zZ/NxXXjHhX0REjumYoX737t3H/VxERGpH2Up9TskoeFelvqQ1\nxxOcBfqyrTbRESbU37Z7NTNKAn1yYBhRCQmmQp+UZEbjPPggTJ0K999vRlz6+5s59cnJ0LYtbNtm\nvuDcuWaevYiIHFelT5QVERHPcIX60NKNss5Qn5ZVtyr1keHBjNv/EzP+Mi03B/waEZWbXlqht9vh\n//7PBPqJE+G558wG2IgIc79VKzPxBuDll0vHX4qIyHFVOtSvWrWKqVOnHvP+1KlTWbNmTY0sSkRE\nDIfD4Wq/CW8U4Lruar/x4EZZZ5Qv21N/3rcfMXP7MsAE+uYFWSQHhkFiogn0jz4KkyfDE0/Ak0+a\nDbBRUeZ+XBw4/1f4pZdKx1+KiMg/qvT0myeeeILGjRsf8/6GDRtYsWIFy5Ytq5GFiYgIZOcVUlRs\nJ9DfB3+/0j+yw+vARtmyYysBxu9bw/nffwnAAV8T6A/4hRCdaw7PYtIkU52fPNm8tlhMS45z8+z+\n/ea5F1+EO+6ovW9ERKQeqHSl/vfff6dXr17HvN+zZ09+/fXXGlmUiIgYGdmmiT4s2FTpi4rtOBwO\nQoP8AcjMKfDY2spm+nv3reb5HSbQJ/qH0LzQBPqYgkxsYCrzEyeatptHHzWB3rl5NibGVOoBZs+G\nO++s9e9FRMTbVTrUZ2dnY7Ue//HMzMxqL0hEREplluyMDQ32Z+veFK55ZgWj56zBx2b+PM5w7pz1\nAGel/r69P/LcjuUAZDduQkx+JvtLAr0VmH76pSbIP/206aeHigP9rFkwZowHvhMREe9X6VDfvn37\n47bWLFtRmRSkAAAgAElEQVS2jJNPPrlGFlVVkyZNwmq1lvvhPBFXRMQbOUN7SKAfC5ZvYP/hHNbv\nSuOnzfsAE/r/3gZTWxzA/XtX8czOr7ADCX6NCD5ymISAUOJKAv0DbS5izikDzIbYBx80P7HsvHpn\noJ8xA+66yyPfh4hIfVDpUH/rrbeybNky7rrrLlJTU13XU1JSGDt2LF9++SX/rgNjxzp27EhSUpLr\nx6ZNmzy9JBGRKnO234QG+/P5mr9c15f+sp2gAF8cDtN37wldP3yTp3d+jR1I9g0mtiCL7IhmxOZl\nAPCftgN45qTejPzzO7jvPvOT4uJMoI+OLg30zz8Pd9/tke9BRKS+qPRG2TvvvJP169fz4osv8uKL\nLxIdHY3D4SA5ORmAUaNGcXcd+EPZZrMRGRnp6WWIiNSIzFzTMx8S6McPG/a4rm/aeZDQIH9y8grJ\nyM6nUaBf7S7s2Wc5+41ZrkAfU5jNfr8Q4lIPAXBP24HMaNGTsft/5hHnAVRxcWYzbHS0mVcPMH06\njB9fu2sXEamHKh3qLRYLr776KsOHD+eDDz5gR8kc4bZt23LNNddw/vnnu22RJ2Lnzp00b94cf39/\nzj77bKZMmULr1q09vSwRkSpxVuqtFgvFdgc2q/m4IyGViNBAklJNi04sIbW3qOnTzaFRQJJfI2JL\nptzEFZh9VQ90HMqM6DO448AvvFBRoC8pBvHss3DPPbW3bhGReszi8FQzphssW7aMrKwsOnbsSHJy\nMpMnT2br1q1s3ryZiIgIANLT013Px8fHe2qpIiKV8t6Pu3nmk82c1zmSlVsOckabCLbsO0J+oZ32\nsaH8lZDB/HHnckqLY48crklRCxfS4vnnAcgICSc0M81U6EsC/dJ/3crlCR24Kel75v61BICEgDBi\n89IpjIjAJy0Ni8PBvnHjSL7hhlpZs4hIfdCuXTvX67CwsKPuV7pS75Samso333zD7pIDQlq1asVF\nF11EeHh41VdZQwYNGuR63aVLF3r27Enr1q158803uUfVIBHxQtn5RQAUFdkBiGsSRHp2ATuTs/Cx\nWswzeUW1spbIMoG+oEkTQg8fLhfox7S7mC923cLIg88xd5cJ9Pv8Q2mRl05BRAS+JYF+/113KdCL\niNSwEwr106ZNY9KkSeTnlx+hFhAQwKRJk3jggQdqdHHVFRQUxCmnnML27dsrvN+9e/daXlHdsW7d\nOqBhvwfVofev6vTenZgPfz8CbMPHPwgwof5ISagPDg4G0omJa0n37p3cu5BZs8yGVoCYGPwSE8mK\naObqoR9/8iBeat6DNact4ZyZ7wOwzy+UFvkZHAoIoVlamhlsP3UqcQ89RJx7V3tM+v1XdXrvqkfv\nX/Xo/SvfbVKRSk+/ee2115gwYQK9e/fm888/Jz4+nvj4eD7//HN69+7NQw89xOuvv17tBdekvLw8\n/vzzT2JiYjy9FBGRKskq2SiblWc+RjcOJDbCBPxiu+medPsBVC+8UDqdxjmGMjaW4JJAf2/bAcxq\ncQ63H1jLOTMnA7DPL4QWBRkk+QbTJC/TBPopU+Chh9y7VhGRBqrSlfqZM2fSr18/vvzyy3KHULVt\n25bBgwczYMAAZsyYwS233OKWhVbGfffdx5AhQ2jRogUHDx7kySefJDc3l5EjR3psTSIi1ZFfUAxA\nbkkbTngjfxoHmUk3xXbTklNQVOy+Bbz4IowbZ16XCfQkJGAB7m/Tn+db9GLsvp9dm2ITAkJpkZdB\nkm8QzQpzTPVo8mSYMMF96xQRaeAqXanfvn07V1xxRYWnylqtVi6//HKPbzw9cOAA119/PR07duSq\nq64iMDCQn376iRYtWnh0XSIiVZVfaAJ7Xr6ZRR8a5EtokC8ARcUm1OcXuKmn/qWXYOxY8zo2tlyg\nB/jlxrE8e9K5jNv/kyvQZzWJJDbPVOibFeZiw8HzXS+Ghx92zxpFRAQ4gUp9WFiYa4xlRXbt2kXj\nxrUzfeFYFi1a5NFfX0Skpjmr8NkloT4ssDTUFxa5sVL/8sswZox57QzyzmAPMHkyG08fzD13T2D6\njuVAScvN4YMk+zUisiALK/BIqwtYfOogNKpARMS9Kl2pHzJkCLNnz2bBggXljiS32+28/fbbzJ49\nmyFDhrhlkSIiDVV+oanCZ5f01ocG+REaaEK9M8w7q/k1Zu5cuOMO8/rvgd7hgMcfh4cf5tSP3iof\n6AsyyWkcQbOSQP9w6378t9X5WEum9IiIiPtUulI/ZcoU1qxZw8iRI7n//vs5+eSTATPr/dChQ3Tp\n0oWpU6e6baEiIg1RQUlgz8kvwmKBRgE+hJX01DsDf0FNhvpXXoHbbzevmzeHAwdML31Skgn0jz1m\nfjz1FD3mzcQOJJQE+kTfYKLT07AAE1pfyFMtzwNAkV5ExP0qXalv2rQpa9euZcaMGZx22mmkpKSQ\nkpLC6aefzqxZs1i7di1NmjRx51pFRBqcslX4sOAArFYLISWV+rySXnpnuK+2116D224zr+PiSgP9\nwYNgt5u++EmT4L//hQkTcAAH/EKJK8gkwa8RUYXZWBwOHms/wBXowZxILiIi7nVCc+oDAgIYN24c\n45yTEERExK0KyoV6fwCCA3zK3auRnvrXX4dbbzWvW7aEPXtKA31xMTz4IDz5pPkxcSIAOU0iaXH4\nIIl+jYgtyALgh2F38tTBaCjp9wdQphcRcb9KV+pFRKT2la3ChwSVhHp/E+pdlfqCaob6efNKA33b\ntibQR0VBaqoJ9P/5D0ydaqr0EyealN68OcGHD5Lg14iYkkB/X5v+LO93FYVFdsq20VvUgCMi4nbH\nrNTfdNNNVfov03nz5lVrQSIiUqpsFT60JNT7+1qxWS2uw6eqVamfPx/+/W/TL9++Pfz1FzRtCtnZ\nkJ9vwv4zz8Ajj5jDoywWs2n2wAFyIpoSm5oCwH/aDmB6i17ckmoCvo/N5lqXKvUiIu53zFD/3Xff\nnVCodzgc6psUEalhZavwoSXtNxaLhdBgf9Iy84BqbJR9+224+WYT6Dt3hi1bICICioogKwuuvbb0\n8KnZs8FqNS05Jb32QSXjLR/oMJjpMWcDkOQK9dYyoV5/N4iIuNsxQ/3u3btrcRkiIlKRiir1ztfO\nUF+lkZbvvw8jR5pA37UrbNoEYWHg6wvJyTBoELzxBtx0E7zzjrnerFnp5tmSQD++7UBebXUulJx4\n6wz1NltpkFemFxFxvxPaKCsiIrWrfE+9X5nXpQH/hNtvPv8chg0zE21OPRU2boSQEBPq9+6Fc881\nVfx//cs8GxgIjRubefXOMZfA72MeZObmQILLpHZXqC9z+rifj+3E1iciIifshDfKfvXVV/zf//0f\nt956K1u3bgUgKyuLH374gbS0tBpfoIhIQ1a2tSbI37fC1yc00vKrr+Dqq02LzWmnmUAfHGw2xu7d\na64tXAhXXWUCfViYCfyJiXDSSa5Az6xZ7P3XKKB8e40z1Jc9cMrPV6FeRMTdKh3qc3NzGThwIAMH\nDmTatGnMmzePhIQEAHx9fbn66quZNWuW2xYqItIQlW2t8fezseD7HazeehB/v9KgXOme+hUrYOhQ\nKCgw4X3DBggIgNatYft2aNfOtNpceaV5tmlT03Zz8KB5Zu9e83VeeAHuugt/P/OfvWXba5ybd61l\nLvr76j+FRUTcrdKh/uGHH2bFihW8/fbb7NmzB4fD4brn7+/PNddcw5IlS9yySBGRhqpsa82BlExm\nfbGVB9/6rdwzleqp/+knuPRSyM0tDfS+vtClC/zxhzls6o03TBX/119Nm43dDikpJuzv2mW+zuzZ\nMHYscPy2GlvZSr3ab0RE3K7Sof69997jzjvvZNiwYQQEBBx1v0OHDuzYsaNGFyci0tDlF5S21iSn\nmdaWvMLictf/sVL/229m42tWlumh37ABbDY45xxYt85U5F96CYYPh61boU0b82xqKnTsCPHx5uu8\n9BKMGeP6sv4lbTUVzaEv25JT9n8VRETEPSod6lNSUujcufMx71ssFnJzc2tkUSIiAsXFdlc7C+Ca\ndgPlq/PH7an/4w8YMADS082Um40bzWjKgQNh5Upo1AimTTPz6PfsMaMtDx40z3fpYkI+wJw5cMcd\n5b60s1feQUnLTZnqfNn2G1XqRUTcr9KhvkWLFmzZsuWY93/88UfatWtXI4sSEZHS1htnK0tqRmnh\nJCe/8KjnjvLXX3DRRXD4sAnomzaZ61dfDUuXmvab8ePh3nvNGMszzoDdu0sr+n/8YZ6fOxduv/2o\nL//3XvnoiEau12Xbb9RTLyLifpUO9SNGjOCVV15h5cqVRx0kMmfOHN577z1GjhxZ4wsUEWmonNV4\n53jItKzSUJ+XX3TUc+Xs2gX9+pmw3rlzaUAfORLee8+8HjIEnn7aVOV79TKHT+XklI65tFjg9ddh\n9OgK1+eq1Jf8Z0JMmVBf9u8JTb8REXG/45ZPtm/fzsknnwzAQw89xM8//0zfvn1p3749AHfffTcp\nKSkkJydz2WWXMX78ePevWESkgXD2yjvbWnLySqvzhcX2o55z2bfPBPoDB0xPvPN/WceONVV3MJtf\nP/rIJPJBg+Cbb6CwsHQTrc0GCxbA9dcfc33+rlBvUn1UeLDrnr3sMAWFehERtztupb59+/acc845\nzJ49m8zMTJYuXcqCBQvo0KEDHTt2pLCwkG7duvHmm2/yySefYLPpD24RkZri7JV39qcXFZcG5YJj\n9dQnJcGFF5o2mnbtTAsOwP33m1NkC0v+YRAfbwL9tdea2fVlA72vr6nmHyfQQ2mvvDPAX9itDXHN\nQnlq9IUUlmkJUk+9iIj7HbdSP3bsWBYvXsy4ceO499576d+/PyNGjGDhwoUEBQXV1hpFRBokZ3C3\nHD1cplyQdwX8lBTTQx8fbybY7NplxlI++CB8951pxXGy2eCGG+DNN024dwZ6f3/48EO45JJ/XJ9z\nTr29ZDNvowA/fntlNE3Dgnhq4Y+u59R+IyLifset1M+aNYuEhASWLl3Kddddxw8//MDw4cOJjo7m\nxhtvZPny5eXm1YuISM3Jd4X60lQfFmROki0q036TX1gMaWnQvz9s3gwtW8L+/ebU2PHjzTSbX34p\n/cJNm5rRlPPnm0DftasJ9EFB8MUXlQr0cHSlPq+giGaNg7FYLOSVGbmp9hsREff7x42yNpuNQYMG\nsWDBApKTk3nnnXfo06cPixYtYtCgQTRv3px77rmHX3/9tTbWKyLSYDin2pSt1Ec08i93D8A3NxsG\nD4b1680hUgcPmlNjb78dOnQwh0o5nXmm2fjqPAG8a1czFSckBJYtM607leQM685KfWZuPgCFRcXl\nQr0q9SIi7lfp6TcAQUFBXH/99SxZsoTExERmz55N69atmTlzJmeddRadOnVy1zpFRBqc4pJqfNn/\nEA0N8sXHZnFdCywu4NPf34aff4aYGFOxz82FUaPgxRdh3rzSnzx8OFx8MUyZYj4/5RQT6Bs3hq+/\nhvPOO6H1+ZZU6p2z9DOyTajPzCkASsO8RlqKiLjfCYX6spo2bcqdd97JzJkzGTJkCADbtm2rsYWJ\niDR0zixfts0x0M+HoJJedv/iQj79413OS98DkZGQnW1+/Otf8Nprpp/+r7/M/PmZM00Vf/JkU/rv\n1Mm06jRtavrte/Q44fVZrRZ8fUr/GnGG+cwcE+6d7TnaKCsi4n5VKp/Ex8fzzjvvsGjRIuLj47Fa\nrVxwwQWMGDGiptcnItJgOcN82Z1LQf42Av1t5Gbn8sHm9+iftpMU30CaOhyQkQFDh8Jbb5mNsHa7\nacVxHjI1a5a5fvLJ8OefEB1tRlke57Twf+Lv60NhkQnzGSVh3vnRGfjVUy8i4n6VDvWJiYm8++67\nLFy40NU/37VrV6ZNm8awYcNo3ry52xYpItIQOQv0f6/Uh/hYmL3lQy5NjSfVJ4Aciy8cOgR9+8K7\n75oQD2C1go+P6a1/5RVzvWVL2LYNWrQwgb6aJ4H7+dqg5EwsV6gvacPxtVlLnxEREbc6bqhPT0/n\nww8/ZOHChXz//ffY7Xbi4uK4//77GTFiBF27dq2tdYqINDiuSn2ZUn2QDZ5bt5ghKX+SbvPnkE8Q\nHfJSoVs3+PRTCAgofbioCG6+2Rwi5e8PsbGwfbsZd/nNN9CqVbXXWLYK7wzzznBvszkr9eqpFxFx\nt+P+SRsdHU1+fj6hoaGMHDmSESNG0Ldv33Lj1URExD3+PjDY4rBz2/K3uHD3b2RZfdkV0JjTs5PZ\nFtiE9kuXYgkNLX24oABGjDAHTgUGQrNmZm59hw4m0NfQ/66W7Zc/kpUHQHpJuLdZVakXEaktxw31\n/fv354YbbmDIkCH4+/vX1ppERITybTc4HMzYvowLD/xCns2HTUGR9Mw8wD7/UPqfdgO7mzbDVW7J\nyoKrroLly6FRIwgLg717zfjKr76CqKgaW6PzACqAtJJQn5ph+nF8rGZF6qkXEXG/44b6zz77rLbW\nISIif+MoHX/DUzu/ZtyBXyi0+bC+WWt6JsWT4hPIgFNvYF9A45J/AFjg8GFzeNTPP0NEBPj5wYED\nZj798uXQpEmNrrFspd4Z5lMzzUers1Kv6TciIm5X5ZGWddVLL71E69atCQwMpHv37qxatcrTSxIR\nqRJnpf7/dn7Hg/t+pNBiZWObUzgnKZ4sqy8XnzqcbcHNzLNgwnufPibQx8aaTbJJSdCzp2m5qeFA\nD6VVeKsFsnILKCgsJs0V6ksq9X7qqRcRcbd6FeoXL17M+PHjeeSRR1i/fj29evVi8ODB7Nu3z9NL\nExE5YQ7g/r2reHTHtxRj4aOmnegWv4ECq43Lu/yLtaFxOHtuHNu2wbnnwpYt0LYt5OebcZZ9+5oK\nfePGblmjs18+JMi0aKZl5pKaadpwnO1AqtSLiLhfvQr106dP56abbuKWW26hQ4cOzJo1i5iYGObM\nmePppYmInLCYd97g6Z1fA/Bm9Glcd2gzdouFR/qO5JuItq7nTs9MxKfv+bBnD3TpYlpwDh+GgQPh\niy9MX72bOCfbOEP94YxcVxuOw/WMQr2IiLvVm1BfUFDAb7/9xoABA8pdHzBgAKtXr/bQqkREqujV\nV2k7bRIAr8SdxcikDQC8dckoPmva3fXY+Wl7WLH+DSyHDsFZZ5lgf+SIOYTq008hKMitywz0N6E+\nLNiE+gMpGew/lAGA3W4vecbXrWsQEZEqnihbF6WkpFBcXEzU36Y6REZGkpSUVOHPWbduXW0srU7T\ne1A9ev+qTu/dsUUsXUrrSZOwADNjezA64TdsOJjU8nz29uhH1hrT3nJZylbe2/I+AfZi0s84g0ab\nNmHLyyP1oovY9dBDODZtcvtai/KyAfC3FgPw3Zr1xO8/BEBmtqnY796xjYK0utUGqd9/Vaf3rnr0\n/lVPQ37/2v3DYYH1plIvIlIfhH/zDa0ffxyLw8HGwZdz48GNBNqLmBvTjcdb9eX330M4cMCfUYm/\n89EfiwmwF/NFRDsabd6MLS+PlEsuYeeTT+LwqZ2aTXCA+XUalXzcsj+dzNwigvxt5BUWl3tGRETc\np978Sdu0aVNsNhvJycnlricnJxMTE1Phz+nevXuF1xsC5790G/J7UB16/6pO791xLFkCjzwCdjvc\nfTft332PgKI8Pm/WiTHtLgaLhdNOy+C6zR/x0F+fAvBBs84MSdmKzWGH226j6Usv0dRae/WaNr8c\nhp/3ERcTCVsO8vse03pzcvMm/LHbVOz79Dob3zqyWVa//6pO71316P2rHr1/kJ6eftz79aZS7+fn\nR7du3Vi+fHm561999RW9evXy0KpERCrp66/NgVFFRTBmDHz5JQHJiawMO4kbT72WYqsNq8PO8KVv\n8dBfn2AH3og6jctTtuLnsFN81ziYMwdqMdADhJb00gf4mb75vcnmL52W0Y2x2x0E+vvUmUAvIlKf\n1ZtKPcC9997LDTfcQI8ePejVqxcvv/wySUlJ3H777Z5emojIsf38M1x+ORQUwOjR8PvvsHUr2W3b\nMyT6CvJsvvgX5PLW1o/pf2gLBVYbr0afwR0J67ACU07qzf3PPYfNYvnHX6qmhZZMvfH1Kf+PiRbN\nQoHSqTgiIuJe9aZSD3DttdcyY8YMJk+ezBlnnMHq1atZunQpLVq08PTSREQqtmULXHwxZGfD8OFm\ntvzq1RAXx5Y5b3LEN5DQwjz+t+kdrj20hRz/QN7v2JsxJYH+0VYX8HCbi7DUcoXeyRnaC4uKObNd\naatj9w6xQGnoFxER96pXlXqAO+64gzvuuMPTyxAR+Wd79sCAAZCaCpdeCiedBFOnmoOili2j0BFK\nTH4GyzYt5NSsJBL9GvHr6b0Z/vMyAP7TdgDTW5j2wtqv0RvO0J6RU8DlvTvwW3wijRsF0PGkpuXu\ni4iIe9W7UC8i4hUOHoT+/eHAATjvPPjXv2DECNMTv3gxnHIKgUu+Z/Vvr9MqP51tgU34vEl77isJ\n9He2u5g5zXu4vpzFA603UNpTn5Gdz/8NP49OLZtxdqfmxO9PLXdfRETcS6FeRKS2ZWTAoEEQHw+n\nnQb//a/5HOCZZ0z1/rvv6DLiSnzz01kb0pxVoS24b/8a7FiY2PM65vh3LPclPZTpCQn0AyAzNx+b\nzcrV53cG4Le/Es39ID/PLExEpIFRqBcRqU15eTBkiNkM27YtvP02XHIJ5OTAyJFwzz0wezaMH49v\ncTFLwk9mb6Mm3LPvJ4qw8MKQW/kwtBPsLz/azFOV+saNAgBIy8wrd/1Ilvk8LDig1tckItIQ1auN\nsiIidVpRkWmzWbECYmLgiy/gzjth7144+2yYNctMv7nrLiguJuHm2zno34g79/1MgcXKtadcw/cd\nelBQZPf0d+ISERoIQFpmbrnrqSWfNym5LyIi7qVQLyJSG+x2uPVW+PRTCA+H5cvh+edh5UqIjYW5\nc03F/rXXICAA5s0jcO9ubk5aT47Vl6FdrufjZp3JKSgmN7+o3Jf2VOsNQHiICe2pmbk4HA7XdWeo\nDw9RpV5EpDYo1IuIuJvDAfffD/PnQ1CQqdCvWmWCvL8/TJwIl11mrjVvDv/7HyxYQPjXy0jzCWDI\nWTexrEk7AHLzi8gpKC735T3VegMQ4OdDUIAvhUV2svMKXddTM0yojwhRpV5EpDaop15ExN2mTYPp\n08HXFz76CKKi4N57zb0BA2D8eMjNhZ494ZVXYNQo+PVXCptFcn7LK9kVcRLkFgBUXKmv5W/n7yJC\nAsnJKyQ1I5dGJRtnU0t67BXqRURqhyr1IiLu9MorMGGC6ZFZsMCE+DvuMCEe4PPPzeubb4Y334Sr\nr4Zff4U2bfhr0SdsahRdLrRn5RaS/7eeeqvVs7E+okwLjpOzxz5CPfUiIrVClXoREXf54AO4/Xbz\n+sUX4brr4P33TT+9k78/PP20mVnfrx/s3w9du8KXX0Ke7agveTjTVOz9fKyuDbN+Pkc/V5ucwd3Z\ncgOlAV+VehGR2qFKvYiIO3zzDQwbZvrpn3zSVOcBDh0qfeaCC2DjRtN2c955JtCfe65rOo6frwnr\n9rIbULPyAfAtE+Sdz3mKczNs2Uq9q6delXoRkVqhSr2ISE37/Xe4/HIoLIS774aHHy69d/nlZhJO\nRARcfz18+625lpUFgweb6n5QEAD+vuaP6DKZ3sWE+sJyz3mKsxp/OD3Hde1whnP6jUK9iEhtUKgX\nEalJO3eacJ6VZUL79OnlZ07GxsLYseb1Rx+ZZwoKTFV//nyzmbbE3yv1FktpwPf3rTuV+tgmIQDs\nO5QBQGZOPkey8vD3tan9RkSklqj9RkSkphw8CAMHQnIyXHSRCenWY/wx+/rrcM01JtCPHWs20ZYJ\n9FAa3J2hPjig9H7Z9ht/D4f6trHhAOxMSCv3sXVMuMc38YqINBQK9SIiNSErCy6+GLZvhzPPNFV4\nP7+Kn33mGfj3v00bzqRJ5iTZCsK/cwOs3W5CfWiQv+teuUq9hzfKtm0eAcAOZ6hPNB+dYV9ERNxP\noV5EpLoKCuCqq1yjKFm6FEJCjn7O4YAHH4QHHjCfv/CCOXjqGIdH+fuZDsliu5ly0yQ0yHUv0L+0\nau/pnvo2MSWV+pIw7wz3zusiIuJ+6qkXEakOu93MmF++HCIjzSjKqKijnyssNNX5t94CHx8zk37Y\nsON+aZvVUq6Pvuym00C/0j++Pd1TH9OkEYH+PqSk55CRnc+OhFRAlXoRkdqkSr2ISHU8+CC88w4E\nB5sK/cknH/1MdjYMHWoCfVAQfPbZPwZ6AIvFUq4K7xwdCeWDvKd76i0WS7lq/c6EI0BpW46IiLif\nQr2ISFVNnw7PPmsq7x99BN26Hf1MSoo5VOp//4OmTeG778x0nEoqG97bxUXQt0sUdwxqj4/NWuEz\nntKmpCq/40Cqq1Kv9hsRkdqjUC8iUhULF8J//mNez58PAwYc/cyuXeYwqV9+gVat4McfoUePE/pl\nylbhC4vsTB1xJjf1O5n8wuIyz3i+k9LZarNt32H2JKcD0DqmsSeXJCLSoCjUi4icqK++glGjzOtn\nn4Xhw49+ZsMG6NUL/voLTjsNVq+G9u1P+JcqO9kmN78QH5sVi8VCbn5hhc94yqltzD6Cae/+SFGx\nnfYtmpTbzCsiIu6lUC8iciJ++w2uvNJsfP3Pf0qr9WV99x306QNJSXDBBbBiBcTEVOmX8y+zITYz\np6D0dW7p67rQfnPx2e2wWCAjOx+Ay3qe+D9gRESk6hTqRUQqKzERLrvMzKQfPhyefvroZ95/HwYN\ngowMuPZa00sfFlblX7Js+01GTn7p6+z8Cp/xlKiIRpzTOc71+ZBeHTy4GhGRhkehXkSkMvLyTIU+\nIQF694Z5844+MOqFF+C668zc+nHjYNEi8Pev+OtVUtnWmnKV+jIBvy603wBMGtmXNrHh3Dz4dHp1\naeHp5YiINCie310lIlLXORxwxx3w009w0knw4YflT4t1OODhh2HqVPP51Klm1OUxDpU6EWU3wTor\n9WTvjo0AABdQSURBVAVFxeQXFmO1WLA7HPj71Y1QP+Cstmx/+y4sNfB9i4jIiVGoFxH5JzNnmgk3\ngYHw6afmkCmnwkK47TZ44w2w2eC110o30dYAvwrab3LyzeQbfz8buflFdaZSDyjQi4h4iEK9iMjx\nfPVV+dGVp59eeu/wYbjmGrMxNijI9NNffHGN/vLleupL+uiz8opK7vmQm19UJ0ZaioiIZ+lvAhGR\nY9m+3fTI2+2mvebaa0vvbdpkTondtQuiokwF/+yza3wJZSv1R7LycDgcZOWacZbOwF8Xpt+IiIhn\naaOsiEhFMjJgyBBISzMfn3ii9N7HH0PPnibQd+sG69a5JdBDaU+9n6+NomI7OfnFpOeUD/V1YfqN\niIh4Vr0J9X379sVqtZb7MWzYME8vS0S8UXGxGVn555/QuTMsWGAm3djtJtxfeSVkZ8OwYbByJcTF\n/fPXrCJnv3yjALMxNyO3gMySSr1fmcAvIiINW71pv7FYLNx8881MmTLFdS0wMNCDKxIRr/Xoo7Bk\nCYSHw2efQWiomU0/apSZfGOxwFNPwf3318iEm+NxVuGDA3xJzcwlI6eQjJLRln4+1pJn6s0f5SIi\nUkX16m+CwMBAIstOpRAROVHvvmtGUtps8N570LYt7N5t+uc3bjQBf9GiGt8QeyzOKnxggC8A6TmF\npJdU6n1Kqvh1afqNiIh4Rr1pvwF49913adasGV26dOH+++8nKyvL00sSEW/y229w883m9XPPwUUX\nwYoVcNZZJtC3bw8//1xrgR5KK/WBfqYGk55TQHq2qdTbrOZ/CdR+IyIi9aZSP2zYMFq1akVsbCx/\n/PEHEyZMYOPGjXz55ZeeXpqIeIO8PNNHn5sLN91kToSdM8d8LCqCgQNNFb9x41pdVnBJL73zY/KR\nPJLT8wDwKTnRtlGgX8U/WUREGgyLw+FweHoRx/LII4+U65GvyPfff0+fPn2Our5u3Tp69OjBr7/+\nyhlnnOG6np6e7nodHx9fc4sVEa/W/KWXiHnjDXJbtuTP+fOJmz2byA8/BCBpxAj2jx1rWnJq2Wtf\nxTN3+V/0aNeUX+JTuKrnSWzZl86f+9PpHBfGlv3pzPp3D3p2aFbraxMRkdrTrl071+uwsLCj7tfp\nSv0999zDjTfeeNxnWrRoUeH1M888E5vNxvbt28uFehGRvwvcto3ot97CYbGQcuWVdLrlFgJ37sTu\n58fuhx8mtRbbbf4uOMD8Me1fsin2wOFc9h/OBsBeUpMJ9q/Tf5SLiEgtqNN/EzRp0oQmTZpU6edu\n2rSJ4uJiYmJijvlM9+7dq7o0r7du3TqgYb8H1aH3r+rq5Hv32GNmjCXQYuZMM7qyXTusb79Nmx49\naOPBpW06ZIPPttCkyf+3d+9BUV93H8c/v0WRiyw33WAVAfGS1Jg8aiBKUhVHI6TVpE1sTB6hxk5x\nJqMxps3YNqYFJ9VcOk4yDc4oaYmpmUlMr9HQYDMqimxaFTQqVtuIl0RBCHeE+Ajn+YOwdSMg3rK7\n8H7NMPI7e3b3y3cAPx7Pno2QdE5HPq1VQ/NFBQf0l9WvfdvN3RPv1Ng4DgnoCa/8/vMR9O760L/r\nQ//cd5t0xqtDfU8dP35cGzdu1Le//W1FRkaqtLRUP/7xjzVhwgTdc889ni4PgDerqpK++tqbZ56R\nsrIkLzgWNyRogCSpY6dkxxtPxX8jQp/Xn5ck2YMHeKY4AIDX6BWn3/j7+2vbtm2aNWuWbr31Vi1d\nulQpKSn68MMPZd3kM6QB+LjwcGnChPbz5mfMkD76SHrpJa8I9JJk/zLUN7X8n2Ju+e8eyjHRkao/\n/4XbHABA39UrVuqHDRumHTt2eLoMAL7Iz689yFdVSbfc4ulqLtOxCt9w/gulJI7Uus37JEmzEuP1\nh52lkjj9BgDQS1bqAeC6+Pl5ZaCXpJAvA3v9+S/0SPJY+dkshQT2U/L/xMmY9nea9fPjVzkA9HW9\nYqUeAHqrjpX6+qYvlDw+Tn94ZqpCgvq73pSK/fQAAIlQDwBerWO/fMf++WGDgt2uQ9hPDwAQ228A\nwKuFBA2QZUkN5y/oYmuba7y2sf1dZcMHBniqNACAFyHUA4AXs9kshYe0n8TTEeQlqbq+WZJctwEA\n+jZCPQB4uYgvg3tHkJek6oZmt9sAAH0boR4AvJwr1DdcEuq/DPgRdrbfAAAI9QDg9cJD2oP7pSv1\nNV9uxWGlHgAgEeoBwOt1u1JPqAcAiFAPAF4vwt7Nnno7oR4AQKgHAK/X6Up9A6ffAAD+i1APAF6u\nYzW+qu68a+zzOrbfAAD+i1APAF4uerBdknTqXJ1r7ERFbfttDrtHagIAeBdCPQB4ufihEZKkTz6r\nkSSd/+KiztU0yb+/n4YOItQDAAj1AOD1RgwJlyQ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1630,7 +1633,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 33, "metadata": { "collapsed": false }, @@ -1639,7 +1642,7 @@ "data": { "image/png": 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CDNgoG0uHjp0f7sO6f9mBluEALDLg14DXmofQG9Sjgb6mBmhrOz/Qu90M9ERE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\n75fo6Gj58ccfJT09XZ577jkR4fPvenim3oMNDw+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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1715,7 +1718,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 34, "metadata": { "collapsed": false }, @@ -1724,7 +1727,7 @@ "data": { "image/png": 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e+ydc16un1BquJ38fh6b1rDFrcMvKKJOIKtDT4Voul6vNK/OXyBQUFBT757Cu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\nAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1978,7 +1981,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 35, "metadata": { "collapsed": false }, @@ -2196,7 +2199,8 @@ "\n", "The Kalman filter generalizes this problem by having you supply a *measurement function*. It is somewhat counterintuitive at first. As I already stated the Kalman filter performs its calculations in *measurement space.* It needs to do that because it only really makes sense to talk about the residual of the measurement in terms of the measurement. So it does something like this:\n", "\n", - " residual = measurement - convert_to_measurement(predicted state)\n", + " CELSIUS_TO_VOLTS = 0.21475 # constant from manufacturer's spec\n", + " residual = measurement - CELSIUS_TO_VOLTS * predicted_state\n", "\n", "In other words, for the thermometer tracking problem, it would take the filter's current prediction of temperature, convert that to whatever voltage would represent that temperature, and then subtract it from the current thermometer voltage output. This gives it a residual in the correct units (volts).\n", "\n", @@ -2206,7 +2210,12 @@ "\n", "$$\\textbf{y} = \\mathbf{z} - \\mathbf{H x^-} \\;\\;\\;(3)$$\n", "\n", - "where $\\textbf{y}$ is the residual, $\\mathbf{x^-}$ is the predicted value for $\\mathbf{x}$, $\\textbf{z}$ is the measurement, and $\\textbf{H}$ is the measurement function. It is just a matrix that we multiply the state into to convert it into a measurement.\n", + "where $\\textbf{y}$ is the residual, $\\mathbf{x^-}$ is the predicted value for $\\mathbf{x}$, $\\textbf{z}$ is the measurement, and $\\textbf{H}$ is the measurement function. $\\textbf{H}$ is a matrix that we multiply the state into to convert it into a measurement. It is analogous to the constant `TEMPERATURE_TO_VOLTS` in the one dimensional example directly above. Maybe it will help to see the two equations together.\n", + "\n", + "$$\\begin{aligned}residual &= measurement - CELSIUS\\_TO\\_VOLTS \\times predicted\\_state \\\\\n", + "\\textbf{y} &= \\mathbf{z} - \\mathbf{H x^-}\\end{aligned}$$\n", + "\n", + "\n", "\n", "For our dog tracking problem we have a sensor that measures position, but no sensor that measures velocity. So for a given state $\\mathbf{x}=\\begin{bmatrix}x & \\dot{x}\\end{bmatrix}^\\mathsf{T}$ we will want to multiply the position $x$ by 1 to get the corresponding measurement of the position, and multiply the velocity $\\dot{x}$ by 0 to get the corresponding measurement of velocity (of which there is none).\n", "\n", @@ -2289,14 +2298,14 @@ "\n", "$$\\mathbf{P} = \\mathbf{FP{F}}^\\mathsf{T} + \\mathbf{Q}$$\n", "\n", - "In this equation $\\mathbf{FP{F}}^\\mathsf{T}$ is just some linear algebra 'magic' that projects $\\mathbf{P}$ forward to the next time step according to our motion model $\\mathbf{F}$, and $\\mathbf{Q}$ is the *process noise matrix*. We are just adding matrices, so hopefully it is clear that each element in $\\mathbf{Q}$ specifies how much uncertainty is added to the system due to the process noise. \n", + "In this equation $\\mathbf{FP{F}}^\\mathsf{T}$ projects $\\mathbf{P}$ forward to the next time step according to our motion model $\\mathbf{F}$, and $\\mathbf{Q}$ is the *process noise matrix*. We are just adding matrices, so hopefully it is clear that each element in $\\mathbf{Q}$ specifies how much uncertainty is added to the system due to the process noise. \n", "\n", "Let's take a brief moment to look at the behavior of these equation in more detail. I will project $\\mathbf{x}$ forward according to the motion model $\\mathbf{F}$ with the equation $\\mathbf{x} = \\mathbf{Fx}$. Then I will project P to the next timestep with the equation $\\mathbf{P} = \\mathbf{FP{F}}^\\mathsf{T}$. I will draw the original covariance in red and the new covariance in black." ] }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 36, "metadata": { "collapsed": false }, @@ -2305,7 +2314,7 @@ "data": { "image/png": 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Uubbj7HEtoSkiqHgXEWcwaZJ1/M9/IEcOs1mcwKpVq/j6668JCAhg8uTJ2Dzt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\nQUSEQxfwffr0ITw8nP/+97907dqV3NxcsyNd37/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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2339,7 +2348,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 37, "metadata": { "collapsed": false }, @@ -2348,7 +2357,7 @@ "data": { "image/png": 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7SkmaC70nOn0N6woVKmDHjh1iTOifM7SsoilFj0ajwe+//y7zOhYrVgxLliwR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\nusJsNuPIkSN4+eWXYbVasWDBg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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2376,7 +2385,7 @@ "source": [ "You can see that over time our uncertainty in the position grows. However, our uncertainty in the velocity does not. Why is that? Well, our process model states that the velocity is constant, and we do not model the possibility that there is error in the model (so far!). We assume the model is perfect, so the variance of the velocity does not change.\n", "\n", - "But of course no model is perfect. Except perhaps in a perfect vacuum velocity will never remain constant. If we are tracking a car, for example, even if we set the cruise control the car will slightly change velocity due to the wind, hills, bumps in the road, imperfections in the cruise control, and so on. If the Kalman filter used the equation above it would quickly become over-certain in its computations. Recall that in the unidimensional Kalman filter chapter every predict cycle increased our uncertainty, and every update decreased it. The same needs to happen here.\n", + "So I have demonstrated the reason for the $\\mathbf{FP{F}}^\\mathsf{T}$ part of the equation, which assumes a perfect model. But of course no model is perfect. Except perhaps in a perfect vacuum velocity will never remain constant. If we are tracking a car, for example, even if we set the cruise control the car will slightly change velocity due to the wind, hills, bumps in the road, imperfections in the cruise control, and so on. If the Kalman filter used the equation above it would quickly become over-certain in its computations. Recall that in the unidimensional Kalman filter chapter every predict cycle increased our uncertainty, and every update decreased it. The same needs to happen here.\n", "\n", "This is where $\\mathbf{Q}$ comes in. It is a covariance matrix that describes how much *process noise* is in the system. That is just a fancy way of saying how much uncertainty gets added to the system by things we haven't modeled.\n", "\n", @@ -2385,7 +2394,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 38, "metadata": { "collapsed": false }, @@ -2394,7 +2403,7 @@ "data": { "image/png": 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ggAwMDAq8sVyEczRBTk4O3bx5k1auXEl9+vTJleJM3VeFChWoU6dO9Pvvv1Ns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\nEdi9e7e2pw4RERE4d+4cPD09cf78ecn9w8LCAl988QW6du2Kr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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2463,14 +2472,14 @@ "source": [ "It general it is not true that acceleration will be constant and uncorrelated, but this is still a useful approximation for moderate time period, and will suffice for this chapter. Fortunately you can get a long way with approximations and simulation. Let's think about what these matrices are implying. We are trying to model the effects of *process noise*, such as the wind buffeting the flight of a thrown ball. Variations in wind will cause changes in acceleration, and so the effect on the acceleration is large. However, the effects on velocity and position are proportionally smaller. In the matrices, the acceleration term is in the lower right, and this is the largest value. **A good rule of thumb is to set $\\sigma$ somewhere from $\\frac{1}{2}\\Delta a$ to $\\Delta a$, where $\\Delta a$ is the maximum amount that the acceleration will change between sample periods**. In practice we pick a number, run simulations on data, and choose a value that works well. \n", "\n", - "The filtered result will not be optimal, but in my opinion the promise of optimal results from Kalman filters is mostly wishful thinking. Consider, for example, tracking a car. In that problem the process noise would include things like potholes, wind gusts, changing drag due to turning, rolling down windows, and many more factors. We cannot realistically model that analytically, and so in practice we work out a simplified model, compute $\\mathbf{Q}$ based on that simplified model, and then add *a bit more* to $\\small\\mathbf{Q}$ in hopes of taking the incalculable factors into account. Then we use a lot of simulations and trial runs to see if the filter behaves well; if it doesn't we adjust $\\small\\mathbf{Q}$ until the filter performs well. In this chapter we will focus on forming an intuitive understanding on how adjusting $\\small\\mathbf{Q}$ affects the output of the filter. In the Kalman Filter Math chapter we will discuss the analytic computation of $\\small\\mathbf{Q}$, and also provide code that will compute it automatically for you.\n", + "The filtered result will not be optimal, but in my opinion the promise of optimal results from Kalman filters is mostly wishful thinking. Consider, for example, tracking a car. In that problem the process noise would include things like potholes, wind gusts, changing drag due to turning, rolling down windows, and many more factors. We cannot realistically model that analytically, and so in practice we work out a simplified model, compute $\\mathbf{Q}$ based on that simplified model, and then add *a bit more* to $\\small\\mathbf{Q}$ in hopes of taking the incalculable factors into account. Then we use a lot of simulations and trial runs to see if the filter behaves well; if it doesn't we adjust $\\small\\mathbf{Q}$ until the filter performs well. In this chapter we will focus on forming an intuitive understanding on how adjusting $\\small\\mathbf{Q}$ affects the output of the filter. In the Kalman Filter Math chapter we will discuss the analytic computation of $\\small\\mathbf{Q}$, and also provide code that will compute it for you.\n", "\n", "For now we will just import the code from the `FilterPy` module, where it is already implemented. I will import it and call help on it so you can see the documentation for it." ] }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 39, "metadata": { "collapsed": false }, @@ -2512,7 +2521,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 40, "metadata": { "collapsed": false }, @@ -2524,7 +2533,7 @@ " [ 0.001175 , 0.0235 ]])" ] }, - "execution_count": 39, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" } @@ -2550,7 +2559,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 41, "metadata": { "collapsed": false }, @@ -2605,7 +2614,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 42, "metadata": { "collapsed": false }, @@ -2644,7 +2653,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 43, "metadata": { "collapsed": false }, @@ -2739,7 +2748,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 44, "metadata": { "collapsed": false }, @@ -2806,16 +2815,16 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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BAcbGxgAMHz4ce3tb3nvvDUiKxX/DGrYnXaJTngtq6jHeea8dyVcv8eNfSzh1/ix5hfll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GlkZmYa1NNoNEycOJFNmzbRokULrK2tadGihcHfRWhoKNOnTwegQYMG+ulH0dHRACQkJNC7d29c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\n", 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ttflU28aybNl7fLdmDWVlpY7ZUnZnWU94DykpKUycOJGJEyfSvXt3KVE5i3V4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\nPvrooyiKw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J+bZt2/TYY4/prbfe0pYtW+T1elVUVKQzZ87E2ixdulTLly/XypUrVVVVpWAw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\nPjr2vqpPftCmBL27eNxeeb0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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2858,66 +2867,11 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Compare to Univariate Kalman Filter" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The equations in this chapter look very different from the equations in the last chapter, yet I claimed the last chapter implemented a full 1-D (univariate) Kalman filter. \n", + "## Exercise: Show Effect of Unobserved Variables\n", "\n", - "Recall that the univariate equations for the update step are:\n", + "In our filter above velocity is the unobserved variable. How would a filter perform if we did not use velocity in the state?\n", "\n", - "$$\n", - "\\begin{aligned}\n", - "\\mu &=\\frac{\\sigma_1^2 \\mu_2 + \\sigma_2^2 \\mu_1} {\\sigma_1^2 + \\sigma_2^2}, \\\\\n", - "\\sigma^2 &= \\frac{1}{\\frac{1}{\\sigma_1^2} + \\frac{1}{\\sigma_2^2}}\n", - "\\end{aligned}\n", - "$$\n", - "\n", - "and that the 1-D equations for the predict step are:\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "\\mu &= \\mu_1+\\mu_2, \\\\ \\sigma^2 &= \\sigma_1^2 + \\sigma_2^2\n", - "\\end{aligned}\n", - "$$\n", - "\n", - "Let's implement a simple 1-D kalman filter using the Kalman filter from this chapter, and compare its output to the kalman filter from the previous chapter by plotting it. We will use a simple model of tracking an object that starts at x=0 and moves by 1 at each step. We will assume the arbitrary value 5 for the measurement noise and .02 for the process noise.\n", - "\n", - "First, let's implement the filter from the last chapter:" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "from __future__ import division\n", - "import numpy as np\n", - "from numpy.random import randn\n", - "from filterpy.kalman import KalmanFilter\n", - "\n", - "# 1-D Kalman filter equations\n", - "def predict(pos, variance, movement, movement_variance):\n", - " return (pos + movement, variance + movement_variance)\n", - "\n", - "\n", - "def update (mu1, var1, mu2, var2):\n", - " mean = (var1*mu2 + var2*mu1) / (var1+var2)\n", - " variance = 1 / (1/var1 + 1/var2)\n", - " return (mean, variance)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now, let's implement the same thing using the kalman filter. I will implement it as a function that returns a KalmanFilter object so that you can run the analysis code several times with the KalmanFilter initialized to the same starting conditions each time." + "Write a Kalman filter that uses the state $\\mathbf{x}=\\begin{bmatrix}x & \\dot{x}\\end{bmatrix}^\\mathsf{T}$ and compare it against the filter in the last exercise which used the state $\\mathbf{x}=\\begin{bmatrix}x\\end{bmatrix}$." ] }, { @@ -2927,122 +2881,6 @@ "collapsed": false }, "outputs": [], - "source": [ - "from filterpy.kalman import KalmanFilter\n", - "\n", - "def mkf_filter(R, Q):\n", - " f = KalmanFilter(dim_x=1, dim_z=1, dim_u=1)\n", - " f.P = 500.\n", - " f.H = np.array([[1.]])\n", - " f.F = np.array([[1.]])\n", - " f.B = np.array([[1.]])\n", - " f.Q = Q\n", - " f.R = R\n", - " \n", - " return f" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Finally, let's compare the two. I will plot the data from the 1-D Kalman filter as a blue line, and the output of the filter from this chapter as red dots. I wrote it as a function so you can easily modify the parameters and regenerate the plots." - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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zyGa2HfobTS31fd57cvwslsZdQ0LoBDzHjlUoF7lCWUzTNJ3Z4dGjR1m4cCFt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\nEZnAV3f8gQeXRQKtAAAAAElFTkSuQmCC\n", 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K6q9LEvupQ0zn1vwYAAAAuMh8CtIVFRUaMmSIsrKydNddd7XbdZVN06Z+PQap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\n+6z69evHGIGkhpvCEhISPF+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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "def plot_kf_compare(x0, p0, R, Q, move):\n", - " # storage for filter output\n", - " x1, x2 = [], []\n", - " p1, p2 = [], []\n", - "\n", - " # initialize the filters\n", - " f = mkf_filter(R, Q)\n", - " f.x[0] = 0.\n", - " f.P[0, 0] = p0\n", - " pos = (x0, p0)\n", - " for i in range(50):\n", - " z = i*move + randn()\n", - " pos = update(pos[0], pos[1], z, R)\n", - " f.update(z)\n", - "\n", - " x1.append(pos[0])\n", - " x2.append(f.x[0])\n", - "\n", - " p1.append(pos[1])\n", - " p2.append(f.P[0, 0])\n", - "\n", - " u = move + randn()\n", - " pos = predict(pos[0], pos[1], u, Q)\n", - " f.predict(u=u)\n", - "\n", - " plt.scatter(range(len(x2)), x2, c='r')\n", - " plt.title('State')\n", - " plt.plot(x1)\n", - " plt.xlim([0, 50])\n", - "\n", - " plt.figure()\n", - " plt.plot(p1)\n", - " plt.scatter(range(len(x2)), p2, c='r')\n", - " plt.title('Variance')\n", - " plt.xlim([0, 50])\n", - " plt.show()\n", - " \n", - "plot_kf_compare(x0=0., p0=500., R=5., Q=.2, move=1.)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Discussion\n", - "\n", - "As you can see, both filters produce the same results. Feel free to vary the initial guess, the measurement noise, and the process noise; so long as you make the same changes to both filters the output should be the same. This is a solid demonstration, albeit not a rigorous proof, that both filters in fact implement the same math for the 1-D case. " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Exercise: Compare to a Filter That Incorporates Velocity\n", - "\n", - "The last example did not use one of the fundamental insights of this chapter, unobserved variables. In this example velocity would the the unobserved variable. Write a Kalman filter that uses the state $\\mathbf{x}=\\begin{bmatrix}x & \\dot{x}\\end{bmatrix}^\\mathsf{T}$ and compare it against the filter in the last exercise which used the state $\\mathbf{x}=\\begin{bmatrix}x\\end{bmatrix}$." - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "metadata": { - "collapsed": false - }, - "outputs": [], "source": [ "# your code here" ] @@ -3058,16 +2896,16 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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iNzcXADB69Gj85je/wcKFC81t1q1bh/feew+VlZWYPHkytmzZgujo6HZ6JCIi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\n", 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HJzMPorXN2GM7jZsv4mf8CDFhcZDacFGfgZSlCIIARUICTEePth8zzHfZGcyJiIiIyCaM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\nEAQobphb3MHPFwfPfotvj+6EsbW5S3s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Mu3fvRnZ2Nn766Sd4eHggKCgISUlJiIiIsCtO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\nA3NxK2q+kpsjAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3075,6 +2913,7 @@ } ], "source": [ + "from numpy.random import randn\n", "def pos_vel_filter(R, Q):\n", " f = KalmanFilter(dim_x=2, dim_z=1)\n", " f.R = R\n", @@ -3085,6 +2924,16 @@ " f.H = np.array([[1, 0]]) # Measurement function\n", " return f\n", "\n", + "def mkf_filter(R, Q):\n", + " f = KalmanFilter(dim_x=1, dim_z=1, dim_u=1)\n", + " f.P = 50.\n", + " f.H = np.array([[1.]])\n", + " f.F = np.array([[1.]])\n", + " f.B = np.array([[1.]])\n", + " f.Q = Q\n", + " f.R = R\n", + " \n", + " return f\n", "def plot_compare_pos_vel(x0, p0, R, Q, move):\n", " # storage for filter output\n", " x1, x2 = [], []\n", @@ -3118,7 +2967,7 @@ " plt.xlim([0,50])\n", " plt.show()\n", " \n", - "plot_compare_pos_vel(x0=0., p0=500., R=5., Q=.2, move=1.) " + "plot_compare_pos_vel(x0=0., p0=50., R=5., Q=.2, move=1.) " ] }, { @@ -3127,7 +2976,7 @@ "source": [ "### Discussion\n", "\n", - "The output of the filter that incorporates velocity into the state produces much better output than the filter that only tracks position - the output is much closer to a straight line. We've already discussed why unobserved variables increase the precision of the filter, so I will not repeat that explanation here. But the last exercise and this one is intended to trigger a train of thought:\n", + "The output of the filter that incorporates velocity into the state produces much better output than the filter that only tracks position - the output is much closer to a straight line. We've already discussed why unobserved variables increase the precision of the filter, so I will not repeat that explanation here. But this exercise is intended to trigger a train of thought:\n", "\n", "1. The equations in this chapter are mathematically equivalent to the equations in the last chapter when we are only tracking one state variable.\n", " \n", @@ -3759,6 +3608,49 @@ "> **sidebar**: when plotting covariance ellipses, make sure to always use *plt.axis('equal')* in your code. If the axis use different scales the ellipses will be drawn distorted. For example, the ellipse may be drawn as being taller than it is wide, but it may actually be wider than tall." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Update Equations\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, { "cell_type": "markdown", "metadata": {}, @@ -4000,7 +3892,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.4.1" + "version": "3.4.3" } }, "nbformat": 4,