{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "import nengo\n", "%load_ext nengo.ipynb\n", "from nengo.dists import Uniform\n", "from nengo.utils.ensemble import tuning_curves\n", "from nengo.utils.ipython import hide_input\n", "from nengo.utils.matplotlib import rasterplot\n", "\n", "\n", "def aligned(n_neurons, radius=0.9):\n", " intercepts = np.linspace(-radius, radius, n_neurons)\n", " encoders = np.tile([[1], [-1]], (n_neurons // 2, 1))\n", " intercepts *= encoders[:, 0]\n", " return intercepts, encoders\n", "\n", "\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "text": [ "" ] }, { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction \n", "The Neural Engineering Framework (NEF) is the set of theoretical methods that are used in Nengo for constructing neural models. The NEF is based on Eliasmith & Anderson's (2003) book from MIT Press. This notebook introduces the three main principles discussed in that book and implemented in Nengo." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Principle 1: Representation\n", "\n", "## Encoding\n", "\n", "Neural populations represent time-varying signals through their spiking responses. A signal is a vector of real numbers of arbitrary length. This example is a 1D signal going from -1 to 1 in 1 second." ] }, { "cell_type": "code", "collapsed": false, "input": [ "model = nengo.Network(label=\"NEF summary\")\n", "with model:\n", " input = nengo.Node(lambda t: t * 2 - 1)\n", " input_probe = nengo.Probe(input)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(1.0)\n", "\n", "plt.figure()\n", "plt.plot(sim.trange(), sim.data[input_probe], lw=2)\n", "plt.title(\"Input signal\")\n", "plt.xlabel(\"Time (s)\")\n", "plt.xlim(0, 1);\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 3, "text": [ "" ] }, { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "These signals drive neural populations based on each neuron's *tuning curve* (which is similar to the I-F (current-frequency) curve, if you're familiar with that).\n", "\n", "The tuning curve describes how much a particular neuron will fire as a function of the input signal." ] }, { "cell_type": "code", "collapsed": false, "input": [ "intercepts, encoders = aligned(8) # Makes evenly spaced intercepts\n", "with model:\n", " A = nengo.Ensemble(\n", " 8,\n", " dimensions=1,\n", " intercepts=intercepts,\n", " max_rates=Uniform(80, 100),\n", " encoders=encoders)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " eval_points, activities = tuning_curves(A, sim)\n", "\n", "plt.figure()\n", "plt.plot(eval_points, activities, lw=2)\n", "plt.xlabel(\"Input signal\")\n", "plt.ylabel(\"Firing rate (Hz)\");\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 5, "text": [ "" ] }, { "output_type": "display_data", "png": 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fj+v1/XCM6GWkSP+OLBCG4NgfsPoOcOqlr662NEw/2L+iLisnf84cVNnZNAUG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\n3Eu320dblcS/3+Pkjpof8WXKtK4gtGVEL1WEwMBAxo8fT0JCAkVFRcy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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can drive these neurons with our input signal and observe their spiking activity over time." ] }, { "cell_type": "code", "collapsed": false, "input": [ "with model:\n", " nengo.Connection(input, A)\n", " A_spikes = nengo.Probe(A.neurons)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(1)\n", "\n", "plt.figure()\n", "ax = plt.subplot(1, 1, 1)\n", "rasterplot(sim.trange(), sim.data[A_spikes], ax)\n", "ax.set_xlim(0, 1)\n", "ax.set_ylabel('Neuron')\n", "ax.set_xlabel('Time (s)');\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 7, "text": [ "" ] }, { "output_type": "display_data", "png": 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GRmp9z5ojoun91GZ7vaQfDXofADCJ7BgRs+oMHKoAAAC0h2sAAJApAgAAMkUAAECmCAAA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\n", "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Decoding\n", "\n", "We can estimate the input signal originally encoded by decoding the pattern of spikes. To do this, we first filter the spike train with a temporal filter that accounts for postsynaptic current (PSC) activity." ] }, { "cell_type": "code", "collapsed": false, "input": [ "model = nengo.Network(label=\"NEF summary\")\n", "with model:\n", " input = nengo.Node(lambda t: t * 2 - 1)\n", " input_probe = nengo.Probe(input)\n", " intercepts, encoders = aligned(8) # Makes evenly spaced intercepts\n", " A = nengo.Ensemble(8, dimensions=1,\n", " intercepts=intercepts,\n", " max_rates=Uniform(80, 100),\n", " encoders=encoders)\n", " nengo.Connection(input, A)\n", " A_spikes = nengo.Probe(A.neurons, synapse=0.01)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(1)\n", "\n", "scale = 180\n", "plt.figure()\n", "for i in range(A.n_neurons):\n", " plt.plot(sim.trange(), sim.data[A_spikes][:, i] - i * scale)\n", "plt.xlim(0, 1)\n", "plt.ylim(scale * (-A.n_neurons + 1), scale)\n", "plt.ylabel(\"Neuron\")\n", "plt.yticks(\n", " np.arange(scale / 1.8, (-A.n_neurons + 1) * scale, -scale),\n", " np.arange(A.n_neurons));\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "output_type": "display_data", "png": 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d8OqywXh7ZTyrd+cEoiSoO2Xf2ilYMyWSRcrcOZGUx4kKaEp/P6yd1R+Pz4kB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\nXbEDWeLKkmFoaAgND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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we mulitply those filtered spike trains with decoding weights and sum them together to give an estimate of the input based on the spikes.\n", "\n", "The decoding weights are determined by minimizing the squared difference between the decoded estimate and the actual input signal." ] }, { "cell_type": "code", "collapsed": false, "input": [ "with model:\n", " A_probe = nengo.Probe(A, synapse=0.01) # 10ms PSC filter" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(1)\n", "\n", "plt.figure()\n", "plt.plot(sim.trange(), sim.data[input_probe], label=\"Input signal\")\n", "plt.plot(sim.trange(), sim.data[A_probe], label=\"Decoded estimate\")\n", "plt.legend(loc=\"best\")\n", "plt.xlim(0, 1);\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "output_type": "display_data", "png": 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xupN+l/pO3UIIRdxrFfyykrz0GAbXr4eyXrJ9j6GZn9lDaA+FsJbkskQA+tjX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\nGEKhLDo3ekp6NxVwxAHdqYhoaa+hPBh+Lhx5pTN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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The accuracy of the decoded estimate increases as the number of neurons increases." ] }, { "cell_type": "code", "collapsed": false, "input": [ "model = nengo.Network(label=\"NEF summary\")\n", "with model:\n", " input = nengo.Node(lambda t: t * 2 - 1)\n", " input_probe = nengo.Probe(input)\n", " A = nengo.Ensemble(30, dimensions=1, max_rates=Uniform(80, 100))\n", " nengo.Connection(input, A)\n", " A_spikes = nengo.Probe(A.neurons)\n", " A_probe = nengo.Probe(A, synapse=0.01)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(1)\n", "\n", "plt.figure(figsize=(15, 3.5))\n", "\n", "plt.subplot(1, 3, 1)\n", "eval_points, activities = tuning_curves(A, sim)\n", "plt.plot(eval_points, activities, lw=2)\n", "plt.xlabel(\"Input signal\")\n", "plt.ylabel(\"Firing rate (Hz)\")\n", "\n", "ax = plt.subplot(1, 3, 2)\n", "rasterplot(sim.trange(), sim.data[A_spikes], ax)\n", "plt.xlim(0, 1)\n", "plt.xlabel(\"Time (s)\")\n", "plt.ylabel(\"Neuron\")\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.plot(sim.trange(), sim.data[input_probe], label=\"Input signal\")\n", "plt.plot(sim.trange(), sim.data[A_probe], label=\"Decoded esimate\")\n", "plt.legend(loc=\"best\")\n", "plt.xlabel(\"Time (s)\")\n", "plt.xlim(0, 1);\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 13, "text": [ "" ] }, { "output_type": "display_data", "png": 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LS08AtB1a2nbwKF0aatQrgSOUt68HmnwwqFJp6eD3Cn2vJeCanka85MrOGy/T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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Any smooth signal can be encoded and decoded." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from nengo.processes import WhiteSignal\n", "\n", "model = nengo.Network(label=\"NEF summary\")\n", "with model:\n", " input = nengo.Node(WhiteSignal(1, high=5), size_out=1)\n", " input_probe = nengo.Probe(input)\n", " A = nengo.Ensemble(30, dimensions=1, max_rates=Uniform(80, 100))\n", " nengo.Connection(input, A)\n", " A_spikes = nengo.Probe(A.neurons)\n", " A_probe = nengo.Probe(A, synapse=0.01)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(1)\n", "\n", "plt.figure(figsize=(10, 3.5))\n", "plt.subplot(1, 2, 1)\n", "plt.plot(sim.trange(), sim.data[input_probe], label=\"Input signal\")\n", "plt.plot(sim.trange(), sim.data[A_probe], label=\"Decoded esimate\")\n", "plt.legend(loc=\"best\")\n", "plt.xlabel(\"Time (s)\")\n", "plt.xlim(0, 1)\n", "\n", "ax = plt.subplot(1, 2, 2)\n", "rasterplot(sim.trange(), sim.data[A_spikes], ax)\n", "plt.xlim(0, 1)\n", "plt.xlabel(\"Time (s)\")\n", "plt.ylabel(\"Neuron\");\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 15, "text": [ "" ] }, { "output_type": "display_data", "png": 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RaDOgwRQHe71C0NvzoY0IsuNEFS7okwCjtRF4OgmoKta0B6UaxmUkosnq4bdO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\nV9zWiqfWc+RPZ+3dMGZacP7Ypx+G8dPrM5CcDKobhYsMUGu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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Principle 2: Transformation\n", "\n", "Encoding and decoding allow us to encode signals over time, and decode transformations of those signals.\n", "\n", "In fact, we can decode arbitrary transformations of the input signal, not just the signal itself (as in the previous example).\n", "\n", "Let's decode the square of our white noise input." ] }, { "cell_type": "code", "collapsed": false, "input": [ "model = nengo.Network(label=\"NEF summary\")\n", "with model:\n", " input = nengo.Node(WhiteSignal(1, high=5), size_out=1)\n", " input_probe = nengo.Probe(input, )\n", " A = nengo.Ensemble(30, dimensions=1, max_rates=Uniform(80, 100))\n", " Asquare = nengo.Node(size_in=1)\n", " nengo.Connection(input, A)\n", " nengo.Connection(A, Asquare, function=np.square)\n", " A_spikes = nengo.Probe(A.neurons)\n", " Asquare_probe = nengo.Probe(Asquare, synapse=0.01)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(1)\n", "\n", "plt.figure(figsize=(10, 3.5))\n", "plt.subplot(1, 2, 1)\n", "plt.plot(\n", " sim.trange(),\n", " sim.data[input_probe],\n", " label=\"Input signal\")\n", "plt.plot(\n", " sim.trange(),\n", " sim.data[Asquare_probe],\n", " label=\"Decoded esimate\")\n", "plt.plot(\n", " sim.trange(),\n", " np.square(sim.data[input_probe]),\n", " label=\"Input signal squared\")\n", "plt.legend(loc=\"best\", fontsize='medium')\n", "plt.xlabel(\"Time (s)\")\n", "plt.xlim(0, 1)\n", "\n", "ax = plt.subplot(1, 2, 2)\n", "rasterplot(sim.trange(), sim.data[A_spikes])\n", "plt.xlim(0, 1)\n", "plt.xlabel(\"Time (s)\")\n", "plt.ylabel(\"Neuron\");\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 17, "text": [ "" ] }, { "output_type": "display_data", "png": 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6l8rKSpKSknj++efNi/KXL1/ON998Q3JyMrt37zaPBiUlJeHp6UlycnKnBfzb\ntm0jOTmZiy66iPXr13P//fe3y582bRqLFi0iKSmJK6+8ksTERIKDg+3ads8997B27VqSk5PJyspq\nNyplDWs2jBgxgpUrVzJr1ixmz57NhRdeaNa31c5bbrmFffv2kZiYyOuvv87EiROt1hceHs6aNWtY\nunQpSUlJzJo1i6ysLPz8/HjllVe4+uqrSU1NJSIiwq7d7qSptYlGQzUhPhFEBvm1ZVhONQ6/wOq1\nSVFjASgwBYY1LfJXzphCoehFgueP7ZTu6rEvcdcC/jXAKsDWXM+VwATjawbwkvGo6AeYnupLS0sj\nLS3NLF+1alU7vRUrVvDUU0+1k0VGRrJnzx7zuSnf29ubr7/+2mp9t912G7fddlsnueX6tAcffJCV\nK1fS0NDAnDlzzAv4t23bZtYJCwszXzNhwgQOHWoLOmqyIyYmhiNHOv9HsGXD7bffzu233w7AmjVr\nzA8B2GpnWFiYzfVzHeu97LLL2Lt3bye9hQsXkpXl3gc3nOGc0ZEaHxrdPsMUX2zxaxAeb/XaH4wd\nz7ajkF54mitiAd8g8PRRzphCoVB0AbeMjEkptwMVdlSuA143huLYA4QIIUa4Ws+p6lM8vP1h/vrd\nX6lpqemquYoBwF133UVKSgqpqancdNNNpKaqwVR3s//cKQAuGhnbPsPkjFlZvG/i0gmxSIMXR0uM\n07JCwNAwqC/rCVMVCoXivKa3QluMAs5anOcbZU7vMFzTUsPPPv8Zdbo6WvQtHK88zqsLXsVDqGVv\nvYHlqFVv4Gr0/p5g2bJlLFu2rK/N6DH25mvr1OaMm9A+o64UMDpXNogKHoKnIYSzlpuEDx0Gje7d\nQUGhUCgGA/3KkxFC3CWE2CeE2Fda2n66498Z/6assYzVC1fz/2b+P/YV7+PL01/2kaUKxcDnWOkZ\nkIKUkR3WS9SXao6Vp/3/aoHeYVQ0W6wvGxIKjZU9YOnAZ8zYDAByc583yxylLWX29K2dO5J3Nc9R\nvc7aaOqPjmln+seWvrVzS11bOo7kzupYy3NG5kobXL22p3Q69qur982enjVde3b1FK72ky2bnaW3\nnLECwPKxrGijrB1SyleklFOllFPDw9ue7mrQNbDh+AauGncVk4dP5vrx1zMueBz/Ofyfnre8F5Aq\narnCAT3xHimoLcRHhOLj6dM+o6UOfBzvVxo1NAqdqKS8rlkTDAlVa8ZsMHastp7xVN4LAMydO9dh\n+lTeC8xBnUMhAAAgAElEQVSdO9dchuW5ScdaXke5LbqSZym3tNWRjR11Tf3RMW3tenvXWupYs9tS\n15W22cLVPusos9Vnpjxr17jSXmvvg67qWNbTUadjv7p632xdY0vXlp09iaP76ah9rtJbztgm4Fbj\nU5UzgWoppdNTlF+c/oKG1gZujrsZAE8PT3408UdkVWSRXZHdQyb3Dn5+fpSXlyuHTGETKSXl5eX4\n+fk5VnaS0tpmGmUZw32tPL2pawAf+0+jAowLjUZ41ZCeb1wuOioVyk9A+Um32Xm+cumllzpMO3Pu\nbF5PYKs+a3JXbHOlzV0pvy9x1/3rbjnO1qXum23cbbtb1owJId4G0oAwIUQ+8CjgDSClfBnYDFwF\n5AANwO2ulP/1ma8Z6T+SiyLatqa5MuZKnt77NJ+c+oT4YcYnvmrOQW2R9qMwQIiOjiY/P5+O07IK\nhSV+fn5ER0c7VnSSQ/lVeHhXMSbYynZPLQ3gPcRhGQmRY/g038D3Z05z+cQRMOl6+HIl5G6zGRJD\noVAoFJ1xizMmpVzqIF8Cv+xK2S36FvYU7mHRBYvaRYAP8QthauRUduTv4DdTfqMJ31oCxUfgoVPa\nmpcBgLe3N7GxsY4VFQo3kn62EuFdTfzwDkFdT++Ck19BzCUOy4gJGQVARmEeMBNCxoL3UCg55nZ7\nFQqF4nymXy3gt8a+4n00tjYyJ3pOp7yLR11MTlUORfVF2l56xca4TqUDe+pSoehpDhScRgg9o4NG\ntc9YfaV2dGLaPHJoJADHy/O1aXYPD82Jy3K8Y4JCoVAo2uj3ztjuc7vx9vBmWtS0TnkXj7oYgG8L\nvm0fNbz6bCddhUKhIaUks+QMACMDRrZlGCy2kGpwHC8syj8KgFpdOSW1xkX8sXOgtnDAxhuztpuI\nEGKYEGKLEOKE8RjanTr+dkpbLvseN5tllmmFQjH46PfOWHpJOpOHT2aIV+c1LOOCxxExJJw9Z7ZB\nvYUzVnWm9wxUKAYYBVWN1LZqaxRNDhXQFuzVJxBueNlhOUE+Qfh4+OLhXcWxQmMQ5mHGKfeB+xlc\nAyzsIHsE+EpKOQH4ynjeZf6ep/Xz++KHZpllWqFQDD76tTPWom8hszyT5PBkq/lCCFJ1BjJOf9V+\nalKNjCkUNjmcX43w1oKzjvC32AijOl87Ln4NRlpZ2N8BIQSRQ6MQ3jVkFRk3hQ80llfr9MPS/Qob\nu4lcB6w1ptcC17tabmzMr9odu6JreW4vzxl5V/Mc1eusjT2Rdubclsye3FkdZ+ty1WZ3t9cdOt29\nt67kOSPvCVztp+7aJvprSIWpU6fKVz99lZ9s/gnPpj3LvLHzrOq99Y9RPDl8GFvOFBCl14PwhLgF\nsPTtXrZYoRgYPPlpFmuznyUk4hC7f2yxr+aR92HD7XD3Loic7FRZd35+J3vPlHBp4GM896OLtKeZ\n/x4PVz0D05e7bJsQYr+UcqrLF7oRIUQM8LGUMsF4XiWlDDGmBVBpOrfH1KlTpWlvU0uitqZTdGmK\n+WgpUygUA5fufH/165Gx9JJ0AJsjY0hJSpO2ViXdz1eTjUyBBnvbZCoUg5tD+VUEBtQxIqDD9rCm\nkbGOi/rtEOkfiZd3ddvImH+49odogI6MOcL4ZHj//AerUCgGLP3aGTtWcYzIoZGEDw23rtBUTVyL\njiEGA+m+vjDrXgiOVluyKBQ2kFJyuKAab9/q9lOUADUF2noxv2Cny4scGolOVJFTUkNLqwE8PCEw\nCmrOK2esWAgxAsB4LHGgr1AoFC7Rr52x7IpsJg6baFuhrgRvIAFfDoaNgQV/hiHDoFGNjCkU1siv\nbKS2qZUWKjo7Yw3l4B8GFvH8HBHlH4XEgN6jhpOldZowILLtYYDzg03Abcb0bcBGVwt4dstxc9or\np8aq3DLdlXNbMntyZ/KdrccVe53N66k+6U5/OMrvjg292d7essmV94Ersp7ClXvb8dwzMGwkXaTf\nOmMSyanqU8SFxtlWyt0KQGLsfI7ra9HpdW2bFffTtXAKRV9yrLAGRDNNhtr2T1ICtNQ7tSelJaYy\nhFc1WUVGJyMgsn2omQGEcTeR3UC8ECJfCPEz4ElgvhDiBDDPeO4Sz391wpz2OllrVW6Z7sq5LZk9\nuTP5ztbjir3O5vVUn3SnPxzld8eG3mxvb9nkyvvAFVlP4cq97Xju6R/S4R+u8/RbZ6y5tRm91Ldt\nddQRKeHThwC4cNRMWg2t5FTlaJH3Da3QXGv9OoViEHOssBYPn2qAziNjLXVO7UlpiSnwq49vDVmF\nxs9cQMSAHRmTUi6VUo6QUnpLKaOllK9KKcullJdLKSdIKedJKd0y9P5/MZFW0wqFYvDRb52xJn0T\ngO1pStNiY+DCSG0vymMVx7SRMYD6UnjvTji7t0ftVCgGEllFNUQNawCsOWMN4DPUpfJMI2PhoU0c\nMy3iD4jUgsZaBpFVdGJF7AiraYVCMfjov85YaxNDvIYwOnC0dQXT1kd3fMHowNH4e/tzrPyYtmYM\n4Oj7cPhd+ODnvWOwQjEAOFZYQ2So9kenszNW7/LIWJBPEH6efgQF1pNtnqaMAGkYsFH4FQqForfp\nv86Yvom40Dg8hA0Ti4zOWOQkPIQH8aHx7UfGdjyrHb18e95YhWIAUN/cyumKBgIC6vAUnp2fUu7C\nmjEhBFH+UXj71FBc00xNk04bGQOoK3KT5QqFQnF+03+dsdYm4kNtrBcDbWQsNAZ8AwGYNHwSxyuP\nox9ifCxfV68dB+jaFYXC3WQX1yIlePpUETE0Ai8Pr/YKunrwdm2aErR1Y61CCydzsqROC20BA3YR\nv0KhUPQ2/dYZ8xAethfvg+aMRSaYTycOm0hjayOnDU1tOt7+2uP6LfU9aKlCMTAw7R9pNawFdGma\nErTAr/X6cgBOlNRp05Tg8h+hyiYVH1ChULjI1r+2P3aUdcy3p9+H9FtnLC40jsVxi61nttRD+UmI\nSjSLLhx+IQDHGgrbglbGLdCOA3fTYoXCbWQV1hLo60VFc3HnsBYGPbQ2uTxNCdrIWGVzGT6expEx\n/645Y3/9vu+/EHuK+y+f4FK6K+e2ZPbkzuQ7W48r9jqb11N90p3+cJTfHRt6s729ZZMr7wNXZGa+\nebL9saOsY749fQd1OWqbvr6q69GupZT98jVlyhRpkxNbpHw0SMqszWZRi75FXvT6RfLve/8uZWO1\nlHteljJvp6Z3fIvtshSKQcJNL+6UN720Q6a8niKf3fdsW0ZTjZRrr9M+KztfcLnc9VnrZcKaBHn5\nsxvlHau/14R/iZZy80MulbNk0xIJ7JP94PvHHS+732EKhcI9PBrU/thR1jHfnn436c73V78dGbPL\nme9AeMC4S80ibw9vxoeMJ7syG/yCYMbPIWSMlll9to8MVSj6BwaDJKuolthIA62G1vbTlCe+MAdQ\n7so0pWmUbURYEznmKPyuxRozSAOnqk+5XLdCoVCcDwxMZ6wyT9uD0tuvnTguNI7siuw2QUCUtmmx\nRUwyhWIwUlDVSF1zKxGmsBaWm4SXWUSRDnA9+Kgp8GtoUCNnKhpo0um1cmqdd8aK6ovMsQUVCoVi\nsOHlWKUfUlcEgZ0XIE8cNpGNJzdS1lhG2JAw8PSCoJHKGetl6ptbWbs7j21ZpTTrDUwdG8odF8cy\nKmRIX5s2aMk0Lt4PDNACs7ZbM1ZlHDme/nMYP8/lsk1lDRlSi5Rh5JbWMykgAgoPOV1GbnWuy/Uq\nFArF+cLAHBlrqGwL7mqB6enLdqNjQaOgpqC3LBv0ZJ6r4Ypnt/P0Z9k0t+rx9/Hk9d15LHh2O58e\n7vraRkX3yCqsRQjw8LayFVJ9KUQlwVVPdykuX5BPEEO8hpjLzimt00alXQhtkVt1/jtjL6a/aDdt\nKbN2fj5hrW3OyhSK85GB6Yw1Vmp7UHbAtKl4dqWFMxYcrdaM9RInimv50Su7MUjJe3fPYuO9F7Nu\n+Uy+/r80JkQG8Mt1B/jkkHLI+oJjhTXEDPenvKmYAO8AAn0C2zIbK9uCJXcBIQSRQyNpkuV4CMgx\nhbdoqXU6rMypmlOE+IZ02YaBwEsZL9lNW8qsnZ9PWGubszKF4nxkgDpjFVZ/PIJ9g4nyj2o/MhYc\nDdUFYDC4peoz5Q18eriQA2cqMRikW8o8H6ht0vHzN/fj4+XB/34+iylj25zl0cOG8ubPZpA6JpT/\nezfdHO9K0XtkF9cSHxlIYX1h57AW3XTGQIs1VtpYwuhhQ8kpqbWIwu/curHcqlzGBY/rlg0KhWIQ\nMveR9seOso759vT7kIHnjOmaQNdg88cjPjSe45XH2wTB0WDQdXtrliadnoc3HGLO37Zy91sHuPHF\nXVzzz285UVzbrXJ7hYYKkD3rOP5l8zHyyur559JURg/rHMXd39eLl34yhSA/bx54Jx2d3j3OscIx\nTTo9eeX1xEcFUlBXwKiAUe0VbIw0u0Lk0EiKG4qZEBGgjYwFGp0xJxfx59XkERsc2y0bFArFIOTS\n37Y/dpR1zLen34e4xRkTQiwUQmQLIXKEEJ1cTCHEMiFEqRAi3fi6s8uVNRqjdNv48YgfFs+p6lM0\n65s1gSm8RVXXpyp1egP3vHWA/+0/y11zxvHxfRfzt8VJlNQ2seTfuznehw7Z3qK9/GP/P1h1cBUn\nKk90VqjIhadjYU/PDfcfOFPJ29+f5Y7Zscy6YLhNvfBAX/58QyLZxbW8sv38XyPUX8gpqUNKiIsM\noKCugOjA6LZMKd0zMjY0ktKGUmLDhpJX3oDeNPpW63hauqqpioqmCrc7Y0KIcCHE74QQrwghXjO9\n3FqJQqFQuIFuO2NCCE/gX8CVwCRgqRBikhXV9VLKFOPrv12usLFCO9oZGdNLPTlVOZogeLR27Ma6\nsee+PM7XWSX86foEfnfVhSSMCmbJ1NG8f/dsfDw9uH31Xm2D5F5Ep9fx+29/zx2f38GbmW/y38P/\nZfGmm/jvuiuhvqxNMecr7bh/dY/YIaXk8Y8yiQzy5YH5cQ7150+KZOHkKP759QlKalQog94gu0j7\nszBimIF6XX37kbHmWpD6bjtjUf5R6KWe8JBmWloNFBmM679qHY9Im56k7IGRsY1AMPAl8InFS6FQ\nKPoV7hgZmw7kSClzpZQtwDvAdW4o1zoNJmfM9sgYwPEK41RliNEZ6+KWSIfzq3lp20mWTInmlhlj\n2+WNGT6Ul386haKaJh7/KLNL5XcFKSWP7X6MTSc3cVfSXexauott815jQV0dz+vyWfPFrzRFfSts\n+aOWbijXzt3M9hNlpJ+t4oF5cQT4Ohcp5bdXTaRVL3nhaysjeQq3c7y4Fh8vDzy9tc9OdIDFyJhp\npNkNzhiAv78W9PVknQ94+jg1MmYK9toDa8aGSikfllL+T0r5nunl7kqcofSfqxyml+zQt7um47ml\nbn/Gmp0dZfba1lHXmfJsyQYi9trRH9poy4bBet/cZb87nLFRgOWwU75R1pGbhBCHhBAbhBCjrRUk\nhLhLCLFPCLGvtLTUem0OpilHB45miNeQticqfQO1vSprzjnVGEuklPxl8zFChvrw/661NtgHqWNC\n+fmccWzYn0/62SqX6+gK7594n40nN3J38t3cd9F9+Hn5EVJ0hL+WlnNFXT3PVh8i/bsX4NxBbX2d\nf7jmjBWmu9UOKSXPf3mckcF+3JQa7fgCI2OH+/PDaaN55/uznK1ocKtNis5kF9cyPjyAwgbtMzAq\nsMPIGGifk25gCvzq46uVd6q8AQKjnFrAn1udi6+nLyMDRnbLBit8LIS4yt2FdoWyf/3LYXrJt+3X\ndXY8t9Ttz1izs6PMXts66jpTni3ZQMReO/pDG23ZMFjvm7vs760F/B8BMVLKJGALsNaakpTyFSnl\nVCnl1PDwcOslOZim9BAexIXGkVWR1SYMiu5SrLFdJ8vZnVvOfZeNJ8jP26bePZeOJyzAlz99nIns\n4YXyJQ0lPLPvGaZFTeMXyb9oyyg4gKdvMI/5jGVEq57/d/Q/6IoytLyb3zDq7HerLXtyKzhwpoq7\nLx2Pj5drb6V7LxsPwGs71RY4Pc3xolriowLJr9OCH7cbGdMZnWFv17dBssQ0MtZoKMffx5NTZfVa\nYGYnR8ZigmLwEG7/OrofzSFrEkLUGl999ijv3cl3O0wPZqz1g+obxWDBHd9+BYDlSFe0UWZGSlku\npTSuqOe/wJQu13buIHj6wtAwmyrxofEcrzje5hh1MQr/f3fkEhbgw49njLGrF+Drxa/nT2Df6Uq+\nzSmzq9tdXkx/kSZ9EyunrMCj6HBbRnkOREwk4LoX+V15BXme8G7BNkBA9FQtCOe5g2615Y09eYQM\n9WbJFOdHxUyMCB7CouSRrN97luqG3l1vN5ioadJxrrqJuMhA8mvzGeY3jKHeFk+7mpwxn85PwLqC\nKfBrcUMxseH+5JbVayNjTq4Z64mwFlLKQCmlh5TSz5gOlFIGub0iJ7kn5R6H6cGMtX5QfaMYLLjD\nGdsLTBBCxAohfIAfAZssFYQQlnsXLQKOdbm2c+kQM7vTvpSWxA+Lp1ZXS2G98V95sOtR+HNL69ia\nXcotM8bi6+XpUH/xlGgig3x5+ZuTLtXjCnnVeXyY8yE3x93MmK/+DP+eA/n7tMy6Ei3QZsSFXHLV\ni0xvbOLlqkPUB4SBpzdETISy4/YrcIGSmia+OFrMkinR+Hk77h9r3HnJOBpa9Lz53Wm32aVoz3Hj\n4v34KOOTlAEdHGddo3b07t5WVabAr0X1RcSGBXCqrM44MmbfGWtqbeJc3TliQ3omrIUQYpEQ4hnj\n65oeqUShUCi6SbedMSllK3Av8Dmak/U/KeVRIcTjQohFRrVfCSGOCiEygF8By7pcYWUehNr/4jZH\n4jcFfw2K1tZM7XP+qfY39pzG21Nwy0z7o2ImfL08uWN2LDtzyjlSUO10Pa7wn8P/wcfTh+VJy+HU\ndk2Y9Yn2g1p5CvwjABARF3J/ZRWVQvJesHE6d9gF2uiZm6ZR39l7llaD5McdHmpwhUkjg5g9fjhv\n7TmNXgXQ7RGyjWFXTCNjnWKMmSLkd3OaErTAr8UNxcSG+ZNf2UirfyQ010Bznc1r8mrykMgeiTEm\nhHgSbaoy0/i6XwjxV7dXpFAoFN3ELYs0pJSbpZRxUsoLpJR/Nsr+KKXcZEz/Vko5WUqZLKW8VEqZ\nZb9EGzRWQVMVhMbYVYsLjUMgyKo0VhNs/AH6+NdOBaHU6Q1sSj/H/EmRRATaHoHryNIZYxji7cmb\ne9w/0lPaUMrmU5u5fvz1hHkHQZPR4avIheOfg74FJszXZMMvIKlFz5TGJt70aUVn0MHwC7RrTE+j\ndgO9QfL292e4ZEIYsWHd+xG/ZcZYzlU3sf24jQc2FN3ieFEt/j6eRAZ5U1hf2D7GGLhtZAwgamgU\nhXWFjAvzR0oow/hHwM7oWA8+SQlwFTBfSvmalPI1YCFwdU9UpFAoFN1hYEXgN8UKC7H6MKaZod5D\nGRM0pi28xfDxbZmnv3VYzY4TpZTXt3B9irWHQm0T5OfNtckj2JRxjrpm94aReCf7HfQGPT+58Cea\nQ2oi80PI3QoeXjB+nibz8oXAESyrrqWQVr7I+6KtDyq6P42662QZhdVNLJ3u3KghAF89ATv+3kk8\n78JIwgJ8WPd910KPKOyTXVxLXFQgJY0l6KW+88iYeQF/99aMAUQHRlPSWMKoUC3EyWlpfAinwnaA\n39zqXDyEB2ODuj7C6gDLDS+DHSkbA8OWCCGOWMhWCiEKLIJWd+sJzdwY7fLvP8q1KlcoFIOPgeWM\nmWKFhTh2AuJC49rCW0RPg3mPaem8nQ6v/eDgOUKGepMWH+GyiT+aPoaGFj0fZbgeSsMWzfpm3s1+\nl7TRaYwJGtMW3iPMGGR1/xpt2ydPiyc+AyKY09hIjE8ob2e9rU1TAnz7bLft+fDgOQL9vLhsou3+\nMUgD2RXZHC49TEvFKdjxDHz1OJQa70lhBnz7HD60smTqaL7OKqGoWgWBdSdSSrKLtD0pz9Zqf2Q6\nj4y5ZwE/aGFlALz9tD8Lx1qMUfjLbceTy63KZVTAKHw9fbtdvxX+ChwUQqwRQqwF9gN/dnDNGrQR\ntI48axG0erOrhoT98pfmdF6MNji395M8q3Jr11g7769Ys9NRWyzPnWm3s7KBiL129Ic22rJhsN43\nd9k/QJ0xx/+i40PjOVt7lnpdPQgBFz+gjRydtu+MNen0fHWsmKsSR7gcrgHgotEhxEcG8o4bR3q+\nPvM1lc2VLJ24VBM0GkfGfnBfm1LHoLaLX8Vj7iMsTridjNIMTgi9tnbu9M5urRtr0un5/GgRVyZE\n2Vy4v794P9d9eB2LP1rMjzf/mPmfLuVjf+OPvWmt20f3w5ePwqF3+NG00egNkg37u75LgqIzZXUt\nVDboiIsM5HS1NnXeaQRK1wgI8HJ+Ot4WJkevWldEWIAPx6q8wS8Eyuw4Yz30JKUQQgDfAjOB94H3\ngFlSyvX2rpNSbge6P5ffgfD77nVJbi3Pnm5/wpqdjtpiee5Mu52VDURceU/0Bc6+lwfLfXOX/QPM\nGTurTacMtb3/oQlTJP52+zXGXAylWVBne33SrpNlNLTouWJSZJdMFEKwZGo0GfnVWqwlN/BhzoeM\n9B/JjBEzNIFpZCxiMvzB2Ja037W/aNg4uPS3LJpwPd4e3rx38gO45NfaurEuhPkw8eWxYuqaW7nO\nxhTuN2e/YfkXyzFIA0/MfoJ/pP2DsdKT30aE8Z+QYCg/CS0NUGScBSrYz9jh/kyPHcYHBwt6PE7b\nYMK0Z2p8VCB5NXkM8RpiDs5qpqVe+0wJ0e36TCNjZ2vPEhvmz6mKBu19ePBNMHTeGF5v0HO65nRP\nhbWQwGYpZaGUcpPx5TjOhm3uNQatfk0I0b3tChQKhaIDA8wZO63tNenED0d8qOaMtQv+OuYH2jH/\ne5vXbcksxt/H0+6G1464OkmL5PGxG6YqC+sK2X1uN9eNv64tKKZpzdiQEPDygUerYO4Kq9eH+oUy\nb8w8Np3cRNPwCZqw5BgUHdaOLrIx/RwRgb7MHNe5f3Krc1mxfQUTQiew7up1XD/+euaPnc+rNXqu\nFkG8EBrM5rKDcOwjMBhjixUfBeCGi0ZxsrSewz30JOpgJLuozRkzBVYVps+OrhHWXgu7V7ll8T5A\nqG8oQ72Gkl+XrzljZfVaZH+DDr7rvFF9QV0BOoOuR56kNHJACDHNDeW8BFwApACFQOfFjwqFQtEN\nBpYz1lChxdJygij/KIJ8gtrWjQFEJQACCg9ZvcZgkHx5rIS58eE2Y4vpDDryqvOobam1WfeI4CFM\njxnGpoxz3R7p2XRyExLJogsWtQlN05SmXQgcOKc3xd1EbUstW1qMAwMF++GVNHhxJtSXO21LXXMr\n3xwv5eqkEXh6tK9Tp9fx4DcP4ufpx/OXPk+wr3GttMGAd3kuT0TMIdUjgCf05yg6u0sbjZl2JxRn\ngsGgTQt7evDBQdd3SjjfaNY389mpz3gz800tPEvBAfjkwbYnH53keHEtw/19CAvwJa8mj5igmLbM\nnC/bpowN7gm6K4RgdOBo48hYAKW1zdTNf0rL3Nd5o/oe3CDcxAxgtxDipHFU67AQwvqH3w5SymIp\npV5KaQD+g7Yfr0KhULiNgeWMNdc4vYeeEIL4YfFtT1QC+PhD2ARtVMgKGflVlNY2M9/GFOXGnI3M\ne3ce1354LXPemcPjux+nQWext2JzLRx5D1qbuTZ5BCdK6sxxnrqCQRr4MOdDZkTNaL/w2rQllK9z\nwcSnRU1jTOAY3sv7FIJGwbf/AIPxaU8Ha+gs+Sa7lJZWAwsnR3XKe/PYm5yoPMHjsx/XtsbZ8xJs\nvBdqz4G+Ge9h4/hTxBz00sDKiu+RwdEQlQS6eqjKI3iIN5dfGMFHGedo1Xee0hos5FbncsPGG1ix\nfQVP7X2KxR8t5rkv70fu/Q9sf8bYp47DswBkFdUSFxloDqwaExzTllmY0ZZuct9oZHRgNPm1+eaQ\nJ6cMI2HhU9oi/qr2awJNYS160BlbgDaidRlwLXCN8egSHYJW3wAcsaXb39n17lsuyQcb1vrBWZmi\n97Dsf2tpW0dn8/qCAeiMOb+bSXxoPCeqTqA36NuEUYlQZP3P8bbsUoSAtLjOo29vZL7BH3b+gRif\nEJ7wieGmcdfy3on3uGfzrZpDVnwUXl0AG+6AL/7AlYna6NGm9K5PVe4v3k9+XT7Xjb+ufUZhhvZ0\npKeXU+V4CA9umHAD+4v3cyZ8vBaTzIQNx9Qanx8tYpi/D1Nj2m/SXtJQwksZL5EWnUba6DQw6OGz\nR+DgG/Ddy5pSyFhGRyZzX2U1O2UdOwKCIOJCLc+4wPv6i0ZRVtfS41tK9Vfya/NZ9uky6nX1vDTv\nJb5a8hU3TbiJV6nilZAg7YnUg2/A3+Mg5yu7ZRkMkhPF2p6UZ2rPIJHtR8bKT7Y9CGOavncDowNH\nk1+bT0yYNvWZW1YHY43ln9ndTje3OpfhfsPbRlHdj7TxsokQ4m1gNxAvhMgXQvwMeNpiVO1S4Nc9\nZXBPs3vD2y7JBxvW+sFZmaL3sOx/a2lbR2fz+oIB5ozVOj0yBlp4i8bWRs7UWjxpOGqqFq/MuFbJ\nkp05ZSSOCibU36edfPe53Ty992lt/dPpXK7P3s4f6nQ8WdnAwcosHtvyS+SrC6DEWGb6OsK8dcwc\nN4zPj3Z9zfCHOR8S4B3AvLHz2meUZsOIZJfKunbctXgIDz70M97yGXdD+ESbjmlHWloNbM0qYd6F\nEZ2mKNccXUOLvoWHpj2kCSyf7Nz1T+0YOhaGj+dHNbWM1en4u0cNrSZnoDwHgLT4cIKHeA/KqUqd\nXsdvtv2GVkMraxau4eJRFxMxNIJHJ/2Mq+vq+VdIMEd9LEKXrLvZ7lOxBVWN1LfoiYsMJK86D6D9\nyFh1vnZPfp0Jt7zrtnZEB0TTYmhh6JB6hEBbNxY5GTx9oLj9gNLJqpNcEHKB2+q2wifAx8bjV0Au\n8H4/VG0AACAASURBVKm9C6SUS6WUI6SU3lLKaCnlq1LKn0opE6WUSVLKRVJKx7uf22Ha1THtjh3l\nCoVi8DFwnDEpXXbGJg6bCNB+3VjiYu2Y82U73domHQfPVjF7fPsNyBt0Dfxh5x+IDY7lz1NW4GVy\nNPa8yJWVJdxTVc3m0n184m0cfZt9P7TUwemdzL8wkpOl9eSW2t4OxhZ1LXV8kfcFC2MXMsTLYoG1\nQa/9kDoRa82SSP9IZo+czUZdCXqA8ZdrU7bHP2uL/WWH3bnl1Da3sqDDFGVlUyUbjm/gqtirGB1k\nDMZrdK7M21Z5eGu7Jgy7AG/g1xVV5MomNhbu0EIffP472HAHvoZmrk4awRdHi2locW/Q3P7Ou8ff\n5VjFMR6f/Xi7aTtRsI/flVcwzNOPP4UNwxA7V8swtGpbYNmg7UnKAPJq8gDaj4zVnNOmrINHgW+A\n29pheqKypPEco0KGaM6Yh6d2/y2Cv+oNenKqcsxbl/UEFg5UopRyAtpar92Orutppl87rt2xo1yh\nUAw+Bo4zpmvUfoD8nJ+mvCDkAryEV/t1YwER2hTf6fbfyd+fqkBvkFzSwRl77chrlDSU8PgPHmeI\nac1LVKI5f3nMtSQ1NfO34aFU//R9SPstePpC7jfMM64925Lp3BofSz7P+5wmfRPXj7++fUZ9qbbg\nOjja+oV2uHHCjZToatl18yva1kmTb9AyPvk/x/YcLWKoj2cnZ/WtY2/R2NrIzxJ/pgl0TW2jjtPu\n1I5Sr+0KMHQYeHhzWUMjCb5h/Ofwf9ENMQZIP/IeHHqHRckjadTpu9RnA5XallpezniZ6VHTuXzM\n5e0zK04RZJA8MPX/OOLry7a598E9e7S8M9/ZLNO0VnFCZCAnKk8wKmAUQ01R9g16qCuCoJFub0un\n8Bam8C7DLoDyNmcsvy6fxtbGHnXGOiKlPIC2qF+hUCj6FQPHGWs2LoR3YWTMx9OH2JBYMisy22eM\nmtJprdTOnHJ8vTxIHdsWQqi4vpi1R9eyMGYhKREpUGd0EOathLiF8OtMPCIu5A/lFVR5evJS+V4t\nTMCYGXBqO9GhQ5k0IqhLjsUHOR8wLngcSWFJ7TNqjTMkgSM6X+SAudFzCfUN5YMS4494wk2w4C+Q\nt0N7wlLXaDUelMEg2ZJZTFp8eLtAr3UtdazLWsflYy7Xppuq8+Hv8VowV58ASLhRU5TGMoUAgw4B\n/GLMVRTUFfCJp8WTfGf2MD1mGFFBfm7dwaC/s/rIaiqbK/nN1N+0hZ4wUZELAZFcE7+E0YGj+feR\n/yKHjdcc/mLb68iPF9UyMtiPID9vjlceZ0LohLbM+lLtj00POGMjA0bi4+FDbnWu5oyV1mtPFA8b\np7XF+P46Xqn9QYob1nPOmBDiNxavB4UQ64DB88ZSKBQDhgHojDk/MgaQFJbEoZJDGKSFkxExEWry\n2z1FtjOnjOmxw9o5G2sz16Iz6PhV6q80gWmT7fCJ8OP12hTPmB9wYYuOG4an8r/s/3Gu7py2Lq30\nGLS2MH9SJPvPVFJW1+y0zblVuWSUZnDD+Bs6/zjXGJ2xINedMW9Pb6654Bq2nt1KRZOxLRf9FLyG\nwH8ugz9HWd0/8lBBNaW1zVwxqf0U5f+O/4/allqWJy7XBJmb2mKgtdRpP/ZJP4Ib/9N20TRNd07q\nL7hw2IX8JzyS1pSfwIQFUJiBh4dgUcpItmWXUlnfwvlOUX0Rr2e+zlWxVzF5+OTOCsVHYdg4vDy8\nuDPxTjLLM9ldsld7+MHKukcT2cV1xEVpT1Lm1eSZ4+4B3XLoHeHp4UlscCw5VTnEhvlT29xKWV0L\nDB8HrY3aiByQXZGNh/DgguAeXTMWaPHyRVs7dp3dK84Tqrecdihz9dyZOgYCrvbN5JDZTuvak/UX\n+rNttuhos+U9sZa2lJmuNR3t6Virq7f6awA5YzXa0YWRMYDUyFRqdbXkVOW0CcONT/EZ10qV1DaR\nXVzLDy5om4KraanhvePvsSBmgXnqhQZjTK4hFk8TRk+B/8vmF2lPIhC8nPGy5qwZWqEilysmRyIl\nfH2sxGmbP8j5AC/hxTUXXKMJDHp4eym8c0vbZumBXRvVuGH8DbQaWvkk9xNN4BcEkyx+n/av6XTN\n1qwShIA5ceFmWVNrE68ffZ0fjPwBk8OMTkRplrYGzNtfm64FuPHfkHRzW2ELn4Tf5iP8Avl50s85\n01TGZ0lXwsgUKDsOLfUsSh5Jq0Hy6ZHuBEwfGPwr/V8YpKHN4beksQrOHYALLgPgmnHXMMxvGO9k\nvQORCW3OWGNluxHNVr2BkyV1xEcGcrLqJAZpMO9IAXT5j42zjAsZR25Vrjm8RV55fdtG9cYnZ49X\nHmds0Fj83LANky2klI9JKR8D/ial/LOU8i0p5aDYALX2q87bsXWUuXruTB0DAVf7JiH0Yqd17cn6\nC/3ZNlt0tNnynlhLW8pM15qO9nSs1dVb/TVwnLF6Y7gDJ7ZCsiQ1IhWAA8UH2oSmkArGCPT78rTt\nhWaOa3Oy/pf9PxpaG7g94fa26xortFGkjpsqB0YRFTCCH078IRtPbiTX3/gj9+IMJn18HTOCKtly\nzLmpSp1Bx6aTm5gTPYewIUbnsCIXsjdD1sew/W8gPJwOftuRCaETSAxL5IOcD9oC0l5tMRpWk99p\nu6htx0tJGR3CMIunTD/M+ZDypnLuTDSuC6v+/+2dd3yURf7437OpkN4rKZACoQUICBYQezlFDzt6\n6nGinu1Oz7Odp99r6u/OrmfvZ1esYEGkCIJ0AoSeBEhCKiGV1J3fH8+GhLDl2ZbdJPN+vfaVac/M\nZ2aWh8/OfOYzJdq1N1EZ8EAZnHqveQF8fI8q1DNTZpIZkcnL+S/TGT9W284s38roxFAeD3mfcYuv\n1mzQBii7anfxxZ4vuGrkVSQFm66X6uzo9iO27P9pf+O1rWp/H39mZ85mWckyDkamQFOlNuaPpcHS\nfx2tt7immbZOI9nxId3bgT1ts1pNB0pcaLjfk4zwDMqaykgI114vRVVN2g8U0BRutL4fJ1P1nt5V\nOYUQYpoQogDYYYqPF0L816WN9DOmXXKlXemDDb3joMarf9A1T9bmq2eeJ+e1/yhj9SZ3B3bauSQF\nJxE7JJYNlT2UsfBUzQN8lXZV0triQwT6GRidqPk7auts493t7zI1YerRE5mAtk1pRRn83djfEeAT\nwIsl3Sc1RdlG7gxZxM97NIeptvip5CcOtRzi15kXdyce6nFqrqkKguO0E2oOclHGReyu3U1BjcmW\nLiAY/rAFZr+mxYuWHS1b09hKfsnhY3yvtRvbeWPrG+TG5JIXl6eddH1pumao39MJrg0MwsCN426k\nqK6I7zpN921ufg/RXMPs9q8Y07aZw2sGrnPFJ9Y/QYh/CDeMu6E78dt7NT9im96Dgi+0NNPKGMAl\nWdpp4I87TCutX9yi/d3+9dEyXScps+JCKKgpYKjv0O7VXdC2kAH87Vtl1kvX1mMLZfj5CAqrm7Tv\nbEAYVO2grrWO0sbSY/9tffo7eG6Sq0V5Cs3xaw2AlHIzMN3VjfQnTrx0jl3pgw2946DGq3/QNU/W\n5qtnnifntf8oYw0HTStC9l3gLYRgQtwENlRs6F4JMhggOuuYlbHcYeH4+2rDsaBwAdVHqrl+9PXH\nVtZco50ItEBkYCRzRs3h232L2O3np7WRdgon1HzOS/LvrCvstVVpNHbboZn4bPdnxPiHc9KH82DD\nO1pilwuDDJO/sZDjPeDbw7np5xLgE8Bnez7rTgxP0U5XBobD3iVHk5fvrkJKzQdYFwsLF1LWVMYN\n427QbNrqDnRv4Y6375fFmalnkhGewYt7PqEz9SRY/xZs7na8V7vpaytP919Wla1iZelK5o2bpzk9\n7WyHr/8Ia032dZ/frK1SXvCMdv+oicTgRKYnT+fTyrUcY1FXtR2+vR+KV7KjvAGDgIzYYDZXbWZs\nzNjue02he5vSP8gtfRserrloKKzfS0rkUIqqG7XDGzHZULWTrdXawYMx0WO0BxorYZdV918OI6U8\n0Cup02xBhUKh8CD9RxmrL4WgWPDxs122F5PjJlPRXHHU3xIAsTlQuZ2m1g4KDtaTl6opWUZp5K1t\nb5Edkc20xGnd5Ts7tBOHYcOwxnWjryPIL4j/nnAF3LhcM5AHTvbZRsm6BccWXnAn/L90aNHs4Uob\nS1leupxZBOHbWKHlN1VD4TJtFaPLFUWr/X7LehLiH8KZqWeysHAhLR09tgENPpA+HQqXHHUounRn\nFVFB/oxN0lYNO42dvLrlVbIisjgl6RTtua67Pq//Bk68zS5ZDMLAzeNvpqiuiG+nXqvN7/cPArDR\nbwJh1RutOjc1S4fOwxKNVRbvKXUnRmnkyfVPkhScxJUjTcrr/lWw7nUtnHlWd+Gk41eLrsi+gkOt\ntSy65HkY+atuBXj18/DFLewsO0xadBBGWtlVu4vxMeO17d6umyja3LtNmRKSwlDfoRTUFJAeHUxx\ntWm1NCYbqnaQX52PQDAmyqSMrXgKDPpuk7CTA0KIEwEphPATQvwJ2O6OhhQKhcIZ+pEydtDho/gn\nJ2uGeitKV3Qnxo6ExnK27NlHp1GSlxZxtMzeur1cO/paRF2PH9UVW7UtwtEXY42wgDCuybmGH0qX\nsb2+GMZfDnfk0yICCCw+1tEs602XJxdrcr2//X0EgsvL9mo2Np1tsPj/YOcCmHQtpJkMDiOddw75\n68xf09DewFeFXx2bkXG6pvhWFtBplCzfVcWMrBgMJq/73+/7nuL6YuaNm9d90rNiGyAgIdfmpeXm\nOCP1DDIjMnlxx//ozD4fkODjT/Pwc4iUtRTv3dFdWMrui9LNsek9+FcS7F5kvVEp4dlJ8NIpx9nI\nuZsFhQvYfmg7t2Vejv9/T4RP5sKu77TMlGkw63lI1Gwdj9pa9WBa4jRSQlL4YP93cMW7x9r81RYR\nUraMUfEhbK3eSqfsJDdyNDw1Bv4WCVs+gTaT7y8/96yM+Rh8GB09mq3VW0mPHkpRTRNGo9T60lTF\nlvINDA8bTrC/SRksWqb9CBgz29Wi3ATcAiQBpUCuKT4gWLJkic00a/H1voXH5PWM26rH3PN65HMn\nltrrnd5bbmt9tRS2lWerDVvpzubr+W7Yk6ZHFkfR256l7665sK20rrocmWt30X+UsQbHlbGk4CTS\nw9KPVcZMJyoP7NiAEBz1L/bG1jeID4rnnL2/wFNj4eEwzXbngMk3V8pUm+1dnXM1If4hPL/peS0h\nIpXyqKlMaFnLwcOmVYK6ku4HCpfS1N7E/N3zOSvlDOIbKiHnIgiOhw1va2Vm3KN5Mb/8XbjoBYfG\noSd5cXnkROXw9ra3j727M+tcQMCOBWwuOUxtczszTFuURmnkpc0vMSJsBGemntn9TN0Bbfu498EG\nnXStjhXXF7Mg2XS4QhgYOVlzgLptTQ8ltuALeCwV9v1svrJfXtSc4v74Dy2+YyE8MVpTQkBT5LZ8\noh2KaDW5Ntls+z6ytg4jb64s4sLnVjDu4e847T9LeezbHXa732hub+apNY8xNjCOcw9VaRdob/0E\nVj2nfSd/+612OOP6b+COfLP3jxqEgcuyL2NT1SZ2HNqhbTeeeDtc+BzG4Dj+0/oP/l76WzaVrwVg\nXAfaDwmAT+dqd5v6B2vb9W5iTPQYdtTuYFhkAG0dRsrqjkDMSCSwtWYrY2NMjpONndqp5vixcNY/\nXCqDlLJaSjlHShknpYyVUl4tpaxxaSMeZNmyZTbTrMU3+h57g0PPuK16zD2vRz53Yqm93um95bbW\nV0thW3m22rCV7my+nu+GPWl6ZHEUve1Z+u6aC9tK66rLkbl2F/1HGasvdcpJ5SlJp7CufB0NbSZ7\nmVhtxaGhJJ/suBBCA/3YUrWFdRXruDrzEvx+eVkr5xMAX90BpRsgMAzCrW9TAoT6h3Ld6OtYVrKM\n/CptG2zI6HMZZqhi43qTUte1PTYkAnZ/x6e7PqWhvYE5KaYtqtBEyDKFEyd23zww6lcQZN+JUnMI\nIbh+9PUU1xez9MDS7oyQOEieDDu+ZunOKgwCpmdqytiifYvYW7eXG8fNw7D2Ncj/WFthqi9z2oHo\n6SmnkxOVw9Ol39N88h9gzidEpU+gRQRwpHB1t71fwefa364tvZ5ICYeKtfDBTVBXCpvf02yvvvqD\ntuX7xnmaQvLBVd3P7f7eqmz7a5q58LkVPPxVAecf+Yovgv7FGUF7eW3ZTs5+ajkb9tfa7qDRCD8/\nx6tfXkNlWx33FG7GsPSf2oGQINPhiJ7fLb9A7e5IC1yUcRGBPoGamwuAs/4OE6+heMI9AEQ2F/Nz\n4beMjBxJWNfpzItf0r7Pu77VlDE3MjZ6LB3GDnyHaD7NiqubISaLPX5+1LY3MiF2glbw6I0Sw1zm\nhFYI8Vcrnwdd0oiXE3L68delmUuzt46BSu++9oxbyzMX93b6m7zgWpm76rI0x56a3/6hjHW2aw5a\ng2Jsl7XA2Wln02Zs44d9plWWsGFI/2ACDu1kcppmL/bGtjcI8QvhkqHp0NkKV8+H336j+XHK/0C7\ny08nc0bNITwgnOc2PoeUktiJFwDQXPCtVqBG87fE9LtpPryP1/Jf4oT4ExjvZ7oeKDSx22Dfz7EV\nJ1uckXoGScFJvJT/0rFOcUeeDwc3s61gK7nDwokI8qe9s51nNz7L8LDhnFW8ARb+Ceb/Dj6+Tjtg\n4OR/pAZh4L4p91HZXMkrkZGQfgr4+NIcmkFcazFbSus0ZatknfbAjgXdhuhdNNfQ0FbPkrHn80pY\nKM/+9CAflq9me2wmsq0BXpnZfZm76SQtk2+A/auP2u31ZndFA7Nf/Jny+hZe/U0eN4b9QnrTJu6v\nuJNfxi1kiL8P17z6CxttKWSrnmXXkod5s2Env2psYvyYOUdlJtO0ymjHGIYFhHHe8PNYWLSQ+rZu\n2VcMPZ2cltepGxLJpoZiTo6f2n1XaM5FMMN0mbubjPe7GButrXzVdmquLIqqGyE0mdXB2o+KaQkm\ne8w60ylpB673skKTmQ/AXOAeVzbkrYSdebwiby7N3joGKr372jNuLc9c3Nvpb/KCa2XuqsvSHHtq\nfvuHMtb1H2VguMNVjI0eS2poKl8Xmk7nCcGR8EyGGw+QlxbB9prtLNq3iCtGXkFQ1xZizEjNgDrN\nZKhuh8fyIL8g5o2bx6qDq1i8fzEiLJlq/2Qiq9fR3mnUnF8GxUDuHN4ND+dQWz23TbxNW2UC7cRk\n5lkw6gI45xGH+20NX4Mvt+TewvZD27udwIJmFA4kVy7l1Gxt1ea9He+xr34ff4o7BZ/l/9Y85s/8\ni7ZSdajQLkXVErmxuVww/ALe3Pamtv0GBCePJtNQxhebyqC2WNsSHX+V5kIj/8Ojz5ZXbefhN6dx\nWkoStzdu4ZnIcF6pXss/wodwWVAr56el8a7xEM1RI+DBGhh3OaTP0BzeGts1u6WqnVCz92id1Y2t\nXPeGttX38Q1TOKPyTSjbCMO06w0jdn7AJ1elEhnsz43vrKeywYJPtP2raV/0V/4SE0WI0cjdNbXw\nqydhxOlw7r81eynQDonYweXZl3Ok4wif7/78aNr2g/X4Dw1hZfokOgWcvP5DzY4u5URttW3aLdpc\nDYmwUrPzxAfFkxaaRv6hXxji56O5tzAY+DkknFT8SAhO0GzX6k3/1lx4NZOU8vGuD/AyMAS4HvgA\nULdxKxQKr8MlypgQ4hwhxE4hxB4hxHHePoUQAUKID035vwgh0uxqoOuKncAwZ2TkguEXsKZ8DYWH\nNUO+4sAcJhh2k5cYwNMbniYsIIzrxlynKUTCp9uFRPZ52l9ju/nKLXDlyCvJjsjmkTWPUN9WT0vi\nFHLZwYbiQ5oyFpVJSUcjr4SHMbOlnfFDEuHja7WHw1O0ey4v/x8kjLPekBOcP/x8cqJyeGrDU91b\nuNEZ1IeM4CzDOk7NjuHAlg/47/onOdk3glO++7tW5vJ3YPqftAugwWUrG3dPvpuIgAjuWX4PRzqO\n4B8/inhxiGWbdmIsWq4VOukOzW3Its9pN7bz5tY3ufDbOXw91J/zAxN5/fQX+SXufDYV7+f7/aX8\nLeNKIsPSeDQqknNDOnhj+zs0X/AUXPulZgPoH6Kt8D0/BZ6dCPkf0dHRyc3/W09NUyuvXZtHZt3K\nbseq4y7T7LkMfsT88igfTD2AsaWO++dv0bZTKwqOOUAgt33B36Mj2R7gz0PVh4gMSdYOOlwzH06Y\npx0Kmfw7OPmPdo1VTlQOk+Im8ea2NznScQSAgoMNjIoP5auwcOJ9g8kt3wkNZd1b3n5D4JrPNGXQ\nzZycdDLryteRGu1HUXUTda11rPbpYMaRFtj8ITwyrNu2z8YpZXsRQkQKIf4B5AO+wEQp5T1SSv1X\nYSgUCkUf4bQyJoTwAZ4HzgVygCuFEDm9is0FaqWUGcCTwGN2NdJ1h6QTyhjApdmXEugTyMtbNHuw\nJUwmULSzteAZVpat5IaxNxDqH6ptnYQkdDtW7dpGMtjnVsPX4MtD0x7i0JFD/GXFX4gYOZ1I0ci2\nzb9AzW7ao4bz4MoHEQZf7qushDfO0R7MOtfpvurFIAw8cMID1Byp4R+r/3HUNmu1/zRO8NlOZt1S\n7v35rxg62/lroeli6nFXgG+AplD8+mUITda2Nl1ARGAE/zz5nxTVFXHX0rtoN7l2GN68mZotP2j2\nVTHZkDOLDeVrueyL2Ty+/nFOMITwRU0LD1/xPZOTT2LopN9iABI6O7k4Zw7/u/gL3s74DSOjx/DE\n+ic4d/65vLn1TZqN7drKlLFDc0oKMP8GFn/8PGuLa3ls9jjGJYd3b4+eeh+MvUyz5zrxNsj/kKQf\nb+eNtB/4YXsly5f/CC9Mg3cvgVLNt90zB3/ks5Bgbhx3I6dd/hnM7WWj5hugnYiMzrB7vG6bcBtV\nR6p4d/u7dBolO8vrGRbbzM8Va7lg1JX4nP+E9l3q+kEB2vi5UcHvYuawmbQZ2wiO2k5xdRM/7PuB\nDiTnHarSfKrJTs0jf+IEq/777EUI8W9gLdAAjJVSPiyl1GHYp1AoFJ7BFStjU4A9UspCKWUb2lZA\n78t4ZwFvmcKfAKeL427AtsJRZcy5u/S6nLIuKFzATyU/Mf9QKquHpPH3ovmMCc/kqlEmo+76Eu0S\n8C6iMjR3Axc+Y3ebY2PGcmfenSw5sIR/t26nFQO/zb+K9uYaHuosY13FOv4y5T4ShJ9m25N2Clxp\n+3SfKxkXM46bxt/EwqKFPLn+STo6O/mwNpt2IfnzT/eSHxjA/534NxLOfgxu+FG7b7KL5Dy4cxtE\nue7C52mJ03hw2oP8VPoTt+75H9UBQVzu9xMh+3+A4TMoaSzlz+0HuDYhlqbmKp6e+TTP1h4hKTGv\n27VGTJa2+jPxN0dXXSacdDcv/eo93jn3HbIjsnl8/eOcO/9c3krOoDkkAeZ8DDevoiMwkqHbP+bC\n8YnMyk1CSsnhqgK2xmbwQ3oe3x78mW+Lv2Vt9mkciMmkHRhTtZApCT6EL70faXIZUfHRHO5adBOv\n+jQzOyCJ3+f+HlKnOXTJuyUmxU1i5rCZvLj5RZYWbaalvZN98mP8Df6aD7PJc+HPxZoC1sfkxeeR\nFppGjeFHDtQ28k7BO2SEpJLT1gbtTd0F48a4uum7gETgL0CZEKLe9GkQQpg3DvRSCguf1p3eO61n\nXG+ePXWkpG62S2ZbefaW1Ts2veW0Fnd2XKyVsySz3jR7yvbuoyNyOCuXM885Mt5dYWfSrIWtyWsr\nTw+uUMaSgJ5erktMaWbLSCk7gDrA+pHA+jJY9JD2+dG0NeaC1aKbxt9ERngGf1x6JyV+73BbQiA+\nUvJosw9+Bj/NoWrVzmO33YSACVc7vBV39airuWHsDXxa/A0Xp6Tzz6gIZicl8FXDHm7NvZULsi/p\ntktLGO+Qry5nuXHcjVyefTlvbHuD2V9ewc8h+VyclMCyQF/uC0jnrOzZMOUGs05I3cGlWZfy8LSH\nWVuxnvMSY/k2tognwwO43qeW8+afx+LKddwoovh8XzGnVe6D6p3Hux3J+y1c+OxxLhxyY3N5+ayX\neeuct8iKyOI/hZ9xcuxQrt32Xx7c/QHzQjJZGlNCR+gzzP5yNtPen8YpbQVcGdTGH5f+kbuX383d\ny+7mtz/+nvOCW5k8PI3zo4cQFPEvvoqs4A/JefxuwpmcE+HD0rKf+eOhWh5KvfBYL/gu5MGpDxLq\nH8r9q24lMPkdCupXMHfsXGKGmg68uNGFhTUMwsB1o6+jun03AWlPsrduL7+fdAciebJWYPrd2l87\nb22whZTSIKUcIqUMkVKG9viESCndczu6mygqNv8DsKj4GWbMmGE1rWe8q56ecXN55sr1zusiNdW8\nw+Tedejpj7V69Ob3ltmSnNbivcfFXNhWOXOyWJLN3Liae85an80937uP5uTvXb+jsporqzff3PfY\nkry25qUr7EyaubC1MbFnDGzhFrfXjiKEmAfMA5iY4AOrX9C2j6TJD5YLlLFA30BePetVbv/hfja3\nbSA9dAyPBSeSuuI5+Gdi9y/2HvcBOosQgtsn3s7oqNE8t/4FPkGS4hfO0yffx2npJlueSdfCnkXd\nl5j3MUIIHjjhAcZEj+GpNa/hE1ZMPIH8rbyUKdf17UpdF7OzZjMxbiJvbPwvq/Z+TaPBQGhbB/PG\nzeOSrEuIN6Ldifn1H7Tty8m/s6v+iXETeeWsV9hUuYkf9//IhsoNLCpeStOQZnYxlJjKDSQmT2NS\n7ASSV71CUsZZJJ54JwE+AXTKTqqPVFPeVM6BhgPs3/w2+1sqWBgURFNnGRmkc3V0Hpdv+pLkjk63\nzmvM0BheP/t15i64m6Yh+7hm1LXcMPYG2w/2ARdnXszK/Vv4bt93nJ14jeaf7qpJsOVjmHQ9zHzA\nIz8+BgIzZ860mWYtbi5v8Y+285yRz524qj1LY2TvWOqRzda42uqTPfOi5/tirU1HvgN6sNaeeekW\nGQAAIABJREFUpbi18OIfHU/T07a7cIUyVgr0tL5NNqWZK1MihPAFwjBd3tsTKeXLaKefyMvLkzxo\nstN52KSEuciOKmpIFCeF3M3KlTt5+a9nEu7TCiue0xSxEadryt+oC1zSVk9OTz2dmcNOY8q/FpM6\nIorT0id0Z466QLs+KW6sy9vVixCCizIu4v3FcQxp6eDN60do93fGe06m9LB0/nbqv+lIPJu/vL+C\nhswLuXXCxO4C5zwCn/xW8xsX4NjF17mxueTG5lLb1MbMx5cyJj6U92bUIt6/AkbOg4yz4dt/w7CZ\nENWtVGVGZHZX4pcIn87lUNalTMy/mLPOHcmNJ6dCx+0QmQ7DT3VsAHSSFpZGSuvd+Na38Ocp3nMX\ntkEYeHDa/cz/YTIjs0xjNzQSTrjRs4IpFAqFF+EKZWwtkCmESEdTuq4ArupV5kvgWmAVcAnwo5R2\nXDh4+l81B6MudFS5+cBh0qKGEj7UH/CHU++HwqVw5QfHXMzsagwGwfSsaJbsqKTTKPEx9FgVSBjv\ntnb10tjawfp9tcw9JV1zN+BClwPO4Jt1Bn7j4/lh3QEaWzsIDjB9dUddCBOv1bYkneTxRTtpaOng\noQtzEPGhkHoyLH0Uuu7vjM6y/PCY2eDjT2TayZzYtIs3VhZz/Unp+F/0X6fl0kvBwXpOHBHdZ+3p\nJSLIn/Chfpp7C4VCoVAch9PGJCYbsFuB79Au4f1ISrlNCPE3IcSFpmKvAVFCiD3AncBx7i+scspd\ncMtql25n5JfUMX5YD79lp96jOXh1oyLWxYysGGqb29laWuf2tuxl1d4aOoySGZmOO9h1F7NyE2nt\nMPL9tvLuRB8/7WBFYq5TdW8rq+O9X/ZzzdRURsabzIouflFzuLv4b1o8ysppRyEg50IYGsm86cMp\nr2/hy81lTslkDxX1LVTUtx690N3bSI8OoqhKKWMKhUJhDpdY9kopF0ops6SUI6SU/zSl/VVK+aUp\n3CKlvFRKmSGlnCKltH7DrJupqG/hYF2L5rLAA5ySGYMQsGxX315QrYflu6oY4ufDpDT3OgV1hIkp\nESRHDOHjdSW2C9uBlJL/+7KA8KH+/PGMHqtf4cPgqg/Bx19zmjpE3/dlRlYM2XEhvLaiCHsWgJ1h\nS4mm2I9L9l5lrLjG+5UxIcQwIcQSIUSBEGKbEOIOU3qkEGKREGK36a9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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the spike trains are exactly the same. The only difference is how we're interpreting those spikes. We told Nengo to compute a new set of decoders that estimate the function $x^2$.\n", "\n", "In general, the transformation principle determines how we can decode spike trains to compute linear and nonlinear transformations of signals encoded in a population of neurons. We can then project those transformed signals into another population, and repeat the process. Essentially, this provides a means of computing the neural connection weights to compute an arbitrary function between populations.\n", "\n", "Suppose we are representing a sine wave." ] }, { "cell_type": "code", "collapsed": false, "input": [ "model = nengo.Network(label=\"NEF summary\")\n", "with model:\n", " input = nengo.Node(lambda t: np.sin(np.pi * t))\n", " A = nengo.Ensemble(30, dimensions=1, max_rates=Uniform(80, 100))\n", " nengo.Connection(input, A)\n", " A_spikes = nengo.Probe(A.neurons)\n", " A_probe = nengo.Probe(A, synapse=0.01)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(2)\n", "\n", "plt.figure(figsize=(10, 3.5))\n", "plt.subplot(1, 2, 1)\n", "plt.plot(sim.trange(), sim.data[A_probe])\n", "plt.title(\"A\")\n", "plt.xlabel(\"Time (s)\")\n", "plt.xlim(0, 2)\n", "\n", "ax = plt.subplot(1, 2, 2)\n", "rasterplot(sim.trange(), sim.data[A_spikes], ax)\n", "plt.xlim(0, 2)\n", "plt.title(\"A\")\n", "plt.xlabel(\"Time (s)\")\n", "plt.ylabel(\"Neuron\");\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 19, "text": [ "" ] }, { "output_type": "display_data", "png": 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zvWqeu0mC4R5EgrNyESnTfg5k2qmguGPAHbZ5Lzo7Gzf2XttIpn0ru6g+WT8J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\nrsN3isgyEXlZRFpkzDFCSJ2GL/+TrGV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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Linear transformations of that signal involve solving for the usual decoders, and scaling those decoding weights. Let us flip this sine wave upside down as it is transmitted between two populations (i.e. population A and population -A)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "with model:\n", " minusA = nengo.Ensemble(30, dimensions=1, max_rates=Uniform(80, 100))\n", " nengo.Connection(A, minusA, function=lambda x: -x)\n", " minusA_spikes = nengo.Probe(minusA.neurons)\n", " minusA_probe = nengo.Probe(minusA, synapse=0.01)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(2)\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.subplot(2, 2, 1)\n", "plt.plot(sim.trange(), sim.data[A_probe])\n", "plt.title(\"A\")\n", "plt.xticks(())\n", "plt.xlim(0, 2)\n", "\n", "plt.subplot(2, 2, 3)\n", "plt.plot(sim.trange(), sim.data[minusA_probe])\n", "plt.title(\"-A\")\n", "plt.xlabel(\"Time (s)\")\n", "plt.xlim(0, 2)\n", "\n", "ax = plt.subplot(2, 2, 2)\n", "rasterplot(sim.trange(), sim.data[A_spikes], ax)\n", "plt.xlim(0, 2)\n", "plt.title(\"A\")\n", "plt.xticks(())\n", "plt.ylabel(\"Neuron\")\n", "\n", "ax = plt.subplot(2, 2, 4)\n", "rasterplot(sim.trange(), sim.data[minusA_spikes], ax)\n", "plt.xlim(0, 2)\n", "plt.title(\"-A\")\n", "plt.xlabel(\"Time (s)\")\n", "plt.ylabel(\"Neuron\");\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 21, "text": [ "" ] }, { "output_type": "display_data", "png": 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AaO1U6PYDZUz8KPavmibZmfRo25yV91/MnHHnR5+YZckTsjpDo6zj/8llhyfU\nHfIaW8aWywaz9Z5vthxg2tIdlLy3JBnFnwnMU0qtUUp9rZRaHP4gQBAEIW1Jq8X/SqkxwBiAnPY9\nmLx4W9R3+4ieXB3eAkMpRaaCjPAjs2x5YlZn+PuPB/KveRtokp1Jk+xMbji7iGsGdubix2oedv7c\n3HV8tHIXb998Dku2HqBxdiZ9O9T6xu1CEskM/xues2p3Moq/KBmFCoIgJJMgZjRbAOOmYZ3CNssY\npVQWkAfsMRektZ6otR6gtR5wSsc8Vt5/cdR3w9lFdMxvEhN/Wb8T6NamKYO7Oz58E9KIs7u34Zkf\n9kcphVKK4stOsp1slVdWs2TrQbYfKOPbT3/CDX//nF2lx7jiqY/ZfqCsllsuBMXaXYcoGj+ZlTtK\nyTQ87d5/pDzoqrTNr1YZOLrIMrWT7fxuPj+2+oDddXnpA6/96nWsvPicUq8+K3/bTksd5badllrq\nn7z+YtQe0a1i7fxWekQ253Eqw5jHqk5zG815ra7NLJv7xmvfevEZ09Kj+44/TUoErXVCP0JP3dYC\nXYEc4CvgJFPMWOCvYfl7wGtu5fbv319rrXXhuEm6cNwkffhYhRbqLz//9wI96A/TouNt/PX//QdR\n+YkZK3XhuEn6T/9dprXWurq6Wu8/Up7i1gt+eGrWKl04bpJ+YPJS/ema3dGxfWjqcg0s0Anek/Tx\n+85i4OtwugqoBJYEVb7bL3IPE4Rk8uerRzvKflI3m1kOOs6pHXbtsvKbZSs9GQR1/0r4iZkOrRm7\nBXgfWBaedC1RSt0XPqcO4DmgtVJqNfBL4thLKEdeV9Zrnrz2DD4ZP8JyveDuQ8efpKzZdTjGd9+k\npZxW8gFHy6vM2YQ0pXF4P7svN+2nyrAlypOzVgdaj9b6FK31qeG0J6EPleYFWokgCELABLLGTGs9\nBZhisv3OIJcB302kDvnysn4T2eLk5TFn8YO/fWa78P/tL0NvySP/O//7x+sBOHC0giY2X3kK6UXj\n7NA4fb5uL8/OWVdr9Wqtv1BKnVlrFQqCIMRBWi3+t+LFn5zJ2l1J+ZReSEMGFrVi5R8u5n/fXsyL\nn220jdtVeoyi8ZOj+pFy582IhdQxbekO8ppkM6hrKwCa5Bz/I2vm8p1Jq1cp9UuDmgGcAWxNWoV1\nlAPTNpA3sjBGdkoBR5tf2clmbpdZFmDwVdc6yn5TN5tZDjrOzzV4ba+Vns6k/VmZQsNl874jDPnT\nLEtfTlbxKj/AAAAgAElEQVRGzD5nk24dwskd82qraYIFOw+WsWx7KcN6xe4ZFZlAr58wGoD3vtrK\nrS9/aVnGhj99K8izMu81qJXAeuDN8BP8pFNX7mGbx8+h04ShMbJTCjja/MpONnO7zLIgpBMN4qxM\noWHTqWWurc+8+ezCDft4dPoqnvnhGbJ9Sor49tOfsGX/0egEzEzR+MncNqInu0pr54tarXUJgFIq\nV2t9pFYqFQRBSBCZmAlpTePsDMoq3Deavffd0Aalq3Yc4sQTZK+zVLBl/1Eg9KW3UorVOw/VmEA/\nPmNVrbVHKTWY0IdHzYAuSqnTgJ9prW+utUYIgiD4RB4tCGnN9wZ28RX/0ucbktQSwStV1aHlERc8\nMptLHq+5cXAt8iihTWb3AGitvwLOTWWD0pHmI7rUkJ1SN5tf2cnm1MZ0Y9asmssuzDajbiU72RJJ\n47Gls+xk8xvj1eckW+mJIBMzIa3p0765r/h/f7qR0rKKJLVG8EJltf91qy/8z6AktAS01ptMJtlX\nxYRxIX1EdkrdbH5lJ5tTG9ON2bNnu9qMupXsZEskjceWzrKTzW+MV5+TbKUngkzMhLTmmoGdeWfs\nObb+5o1rvo2vzS0YhJpUa82BI94nx3/94Rmc27ON7dq0BNiklDob0EqpbKXUrwjttSgIgpC2yMRM\nSGuUUpzWOZ+Zdw6r4fvZsG7Mu2dEDXubZjm10TTBhspqzTUTve/jOurkDihVc2PhALiJ0KkjHQkd\nC9cvrAuCIKQtsvhfqBN0K2hWw3bpqSfQrFEWLRpncbDs+D5mi7ccYOv+o5w9YSZ//eEZ7Dlczmmd\n8mU7jVpi094jLN9eaus/rXM+Z3dvzTMfrklqO7TWu4EfJLWSesratY/RrdvtMbJTCviSzTareszt\nSHeGDav5x6PZZtStZCdbomk8tnSW/fRVED4n2UpPBNnHTKgzfLBkO51b5XLxY6EF5dPuOJee7Zpz\n6RNzWbzlgGv+Rb8bSfPG2TEHZwvBYdzw14l1f7wEpRTX/N88rh7QmSv7d4r6gtgHSCn1Owe31lr/\nPpHyvVKX72EzZnZnxPlrYmSnFPAlm21W9ZjbIQjpTlD7mMmrTKHOcOFJ7enboQUtwuvK8ppkA3g+\niqnffdP4/aSlSWufYM/oUzrQMb8Jj17TL/ra8tWfDY6ZlAXIYYsfwI3AOKeMSqnOSqlZSqmlSqkl\nSqnbw/ZWSqlpSqlV4bRlMhouCIIgEzOhznH1gM4A5OeG1pI1yfZ+RuaUxduS0qaGQHW15uEPVrDT\ntEHsvsPlbDtw1DHv1QM78/H487ni9I7JbCIAWuuHIz9gItAE+DHwCtDNJXslcKfW+kTgLGCsUupE\nYDwwI3wY+oywLgiCEDgyMRPqHL++pC9L77uInKzQf77NLL7MtGNn6bFkNave8+m6PTwxczW/fmsx\nAO8s2sJJv5vK6b+fxuA/znTMm1PLpzGEn3DdD3xNaC3tGVrrcVprx8M5tdbbtNZfhOVSQl9xdgQu\nB14Ih70AXOG1LQ+t22Ypu/nsbLVB16LbashOqV/ZbLMq1ywnC7s+dhorsx6R7cbT7Hfz2cW7xfrx\nO8nxxsVbZqLtjacv4u1zN18QyMRMqHNkZChyc45PxjrlNwFgSI82XD0gKa/GBOBoeWgLsMg+ZcXv\nLuFwubdtwRpl196tRin1EDAfKAVO0VoXa633xVFOEXA68BnQTmsduftuB9p5Lefh9TssZTefna02\nMC64j8hOqV/ZbLMq1ywnC7s+dhorsx6R7cbT7Hfz2cW7xfrxO8nxxsVbZqLtjacv4u1zN18QyMRM\nqPN0bhU6U7O8sprKKm8fs+w+dIzl2w8ms1n1jsjxSjmZGazcUco+H3uV1fITszuBE4DfAFuVUgfD\nv1KllKdBV0o1A94EfqG1jsmjQ19MpedXU4Ig1HkS2i5DKdUKeBUoAtYDV1v9ZaqUqgIWh9WNWuvL\nEqlXEIx0CU/MDpZVcKTcfQ+zg2UVDLh/OgBL77so5umbYE95VWhiVq01F/7lI195rTYCThZa64Rm\ngUqpbEKTshe11m+FzTuUUh201tuUUh0Ax1eigiAI8ZLo3TKyIHaCUmp8WLf66umo1rpfgnUJgiWd\nWoZeZR48WsHh8kqXaDi1+IOovGJ7Kad3aUlFVTWZSpHRwLfSOHSskrW7DnFqp/wavsgTs+nL3Ock\nI/q0ZdTJ7bnrja8BaNqobkx+VeiT0eeAZVrrRwyud4HrgQnh9B2vZQ7dHXrd+5dpK7mzRzv+Mm0l\nd4zsVUM3xpn9QNQWSY02P36z7MeXSGyiejzt99I/xn43xjmNld3YmcfaKBttkTijfGdRO8t8Vr47\ni46XM2jACTE2c5kR/MrxxsVbZqLtjcjGfjLazX1l7s/PF2ytEW8V6zSemc3bnEAQaK3j/gErgA5h\nuQOwwibukN+y+/fvrwXBC8cqqvRJv5uq3/5is57y9VZdOG6Svu65z3ThuEmuv5nLd+iqqmpdOG6S\nvuWlL1J9KSnnB3/7VBeOm6TLKipr+P796XpPfVo4bpLeceCo1lrrT1bv1o9PX+m5fmCBTuCelOgP\nGELoNeXXwKLw7xKgNaGvMVcB04FWbmVF7mGF4yYlnLrZ/PjNsh9fIrGJ6vG032v/ONkSSd1sXmUr\n3c7mZG8IeO0TP7rX8cxp30PrAO5Dif4Z63VBbGOl1AJCn6JP0Fr/J8F6BSFKTlYG35RcFNUjZy7+\n8rVFvPXFFse8ew6V8/L8jQC899VWnrj29OQ1tA6wYMNeILTQv1FWJl9t2s/lT33M5NuGRJ+YeaFF\neI+5wd1bM7h766S0NRlorecCdo9Na57/JQiCEDCuazGUUtOVUt9Y/C43xmntuCC2UId2w/0+8KhS\nqrtNXWOUUguUUgt27drl91oEIYZHrnZ/e/6r179iw54jMbZNe4/w4NTlviYi9QUVnpMcCX9t+eGK\n0L/D0Y/P5f7J3s//bpQl3xUJgiDEg+sTM631BXY+pZSnBbFa6y3hdK1S6kNCn6DXOGdDaz2R0IaQ\nDBgwQL56EmqFotZNAWgeXgc19MFZQOjLzQevOi1l7UoFkbPEj4TX6mVlHn94VFXt/Z9kkg4lr5Pc\nPqInzPojt4+4EoCXe84CRtew3z6iZ02/wW6UrWx+/GbZjy+R2ET1eNrvtX9uH9GTszZOpEbfm8fI\nQTePLcPviY0J2yJxxjy2MVY6WMZEfMZyjPGOstHmxe4ke43zm8dDOXbX7tifLrrVuBjHOGKrOrw/\nkA3NEjorM7xf0B59fPF/K6313aaYlsARrfUxpVQbYB5wudba8WycunzOnJA+eD2/EeD0Lvm8ffM5\nMXkir0UbCiff+z6HjlXy+ytOpk3THGYs38kbCzf7LifefgvqrLl0IOYeVpwHxQec5QhWNqF28DIe\nTrqbbE6dfE4p+PMZbXay0ebF7iR7jfObJ97r8du/XlKLsUuXszInACOVUquAC8I6SqkBSqlnwzF9\ngQVKqa+AWYTWmMmBhUKtMrx3Ab8Z3dcxJjsjg0Wb9sfYnpq1Oiofq6xixfbSpLQvXYg85/rtf77h\n5y9+EdekTBAEQYifhBb/a633YLEgVmu9APhJWP4EOCWRegQhXpQCreHvPx6E1podB8v425x1AJzX\nuyC6hgrg8/V7ueKpj2PyP/T+CsYO7wFAyXtLeemzjZRcdhLXn11Ua9dQW2itKT3mvt2IE6d3yWdI\njzYBtUgQBKHhUTc2FxKEOPnwV+exdvdhILTuadyoPtGJmXFS5oUvNoT2Tr733SX1bmJWVlFF8btL\n4sp7/eBCzuvdlsLWuXQraBZwy+oJw0Jnnj+96GlutpP73RyST7uEm822sGyVAr5tZtlNN/u85I8n\nJt42uclOtpg03PcxfW62mcfMYjyBqD1GNqdOPrfUr8+LbLR5sTvJfuuOp43xxAaV2tkCIKE1ZslE\n1pgJyUBrTdd7pvjKs/oPF5OVmcHlT87lq82htQX1Ye3Z+0u2c/cbX/PZr0dw3kMfsv1gmee8v76k\nD01ysvjRWYWBtqnerjELc8oLp7D4+sWeZCebMQV828yym272eckfT0y8bXKTnWxWqds4mGUrXWh4\nBHX/kidmQoMinq8Fb335S245v0d0C4l05lhlaP8xL/xh8jIOHK1g+4Eyz5OyM7rkk9ckmzHnWu54\nIwiCICSIbDYkNDhyc0ITl7zwJqhu/Peb7Yx+fC6rdh5KZrMS5suN++j9m6nMXuntFW11+Gn5eX/+\n0HMdd4zsxd9/PCie5gmCIAgekCdmQoPjk/HnA9AoK5OLHv2IjXuPuOTwz+5Dxzh8rJLC8B5ptcGn\na0O79n+yZjfDehXE+GYs20G/zvlMXbKdqwd0Jjszw/O+ZH3aN2f59lKG9mzD4G51Zxf/dOTnp/3c\ns+xk8xLjZjPLbrrZ5yV/PDHxtqk2+9PrdQlCPMgTM6HBkZ+bQ35uDk1yMhnaMzlfEJ49YSbDHvow\nsPL2Hyln7+Fyx5iKqtBJBTmZGWit2X4g9Hrymy0HuPGFBfS/fzr/+/Y3PD839PHDtgPWry97tI1d\nwF/UuilrHriEf914JlmZcsuIh11PPAnAd+ccP00iIu964klu7ndzjRgrfyQ1xljZjHIkn5UcyW/2\n2cWa4510PzF29TjlN8ZaXbddH5htVqnbOJjH0uwzj7tZdrIJ6Yfb2AU9jrL4X2jQ3P3GV7y2YDM5\nmRmUV3k/gum56wcwrFcBGsjOzODdr7by+bo93H9FaIFxZJPa9RNGs2nvEZo2yqJV0xzP5c9bs4fO\nrZrQqWVujfLs+PP7K3hy1mruuKAXvdo14+cvfmEZd/WATtx6fs/oCQdmfjmyF49MWxnVO+Y34ePw\nU8ZkU18X/y/r05e+y5dFUyubnxRwtHmV/fjsbLWRx09+N9nJFk9qN75Gu1m28gvpi9vYRWRZ/C8I\nAVBZFfrDZEjPNsxcbnmimCU3vhD6H27j7AyuP7uI/5u9FoDbR/TiufATKYDv/vUT5q/fR9OcTOb/\n5gLueuNr7v3WibRt0dix/Gv/9ik5mRms/MPFntt0rDL0ccJfpq90jHttwWZeW+B949h+nfM9xwqC\nIAiJIe8lhAZNQfNGAPzorEK+/O1IRp/SAYDvDezM9F8Oc81fVlEdnZQBDPzDdP46+/gxsPPXh/Y+\nO1xexW0vL2Ly19t46P0VtuUdq6zizfBu+5EneGUVx78GNcpGFm8+wJpdh13b6wXz2rNxo/oEUq4g\nCILgjjwxExo0d4zsRd8OLTivdwFKKYb1KmDy4m1cPbAzPdo2o1e7ZqzcEczXmNOX7QBCB4O/8Ml6\n/jZnLXPHxb4ifGz6Kp7+8PjE7tHpK3l0+qqoXlZRRePsmtthXPrk3EDaCPCtUztQXlXNM+F2RCav\nQvxs/24xfYE2Y8fa2vymbjavsh+f15hk5PGT3012srmlXsby8/fWMujSbrQZOzYqR2KMfiubUwp4\n8lnFRXCLt4pz082+oMvz0mY//eDWz+a0q2EcI2PV1TDWEX9QyMRMaNA0zs7kitM7RvWrB3ZmcPfW\ndG4VWts1dngPbn9lUaB1ZijFvRa77Gut2Vl6LMZmnJQBHK2oIvJicd/hchZs2McFfdsG2r6mjbIY\nN6oPF5/cnkPHKmmS421fNMGepbsKGA4U3HqLrc1v6mbzKvvxeY1JRh4/+d1kJ5tb6mUs509ez6BL\nu1Fw6y28dtNMBl3aLRpj9FvZnFLAk88qLoJbvFWcm272BV2elzb76Qe3fq6R/vX4OAJRm1F+7aaZ\nBIVMzATBRGRSBnB5v468/eUW38c3ObHW8Mpx4kdruHpAZ/Jzc7j4sTksdzkk/aXPNnLbiJ5kZ2Zw\nxv3TSMa3OzlZoRUOp3aStWWCIAi1jUzMBMGF564fSN/fTvX11aYT89buicoPTFnOqh2H6Nmumeuk\nDOCJmatp3jiLsorqQCZlA4taRtfBRYhMzARBEITaR+7AguBCZoZiwpWhbTCyMvwf6eTG6ws388CU\n5Z7jH5iyPGY7i4TqvunsGrYc2assUD55/UUGji7ik9dftLXFk8Yb42YL0h90GX5tifaVVWo1bm07\nLbWNifjcbBF54OgiS71tp6W2voGji2LKtPJbxVjFW/nMbTD7zbFWNj/le/VZ2a2u0WgzylZjYdXH\nRruVbLQFQUJ3YKXUd5VSS5RS1Uop2707lFKjlFIrlFKrlVLBHsMuCLXIpaedUC8OMAe47/KTYvTM\n8KRTJmbBMu+Nlxl0aTfmvfGyrS2eNN4YN1uQ/qDL8GtLtK+sUqtx27h4qm1MxOdmi8iRdUxmfePi\nqba+QZd2iynTym8VYxVv5TO3wew3x1rZ/JTv1Wdlt7pGo80oW42FVR8b7Vay0RYEid6BvwG+A3xk\nF6CUygSeAi4GTgSuVUqdmGC9glCrRHaQcHpe9oMzu9RKW4LgP2PP4UdnFQJwSsc8AP514yCm3XEu\nGUl4KigIgiB4I6E1ZlrrZQBKOd7IBwGrtdZrw7GvAJcDSxOpWxBqk/P7tKWwdS43ndfdNqZZ4/Re\nsrl+wmhW7iilReNs2ucd3+D2L9f04+kPVzOwqBXZ8rRMEAQhpWQWFxcnXEhJSckNwAfFxcVbLXxn\nAW2Li4vfDetdgb7FxcVTnMqcOHFi8ZgxYxJumyAEQZOcTH58TldaNwvt6XXzeT24aVj3mD3H+nXO\n58uN+1PVREe+c3pHLjq5Pa2bNaoxgWzVNIeLTmoffZWZSkpKSrYVFxdPTHU7giByD8vb2oK2Z/UC\nNC225tG4e35UbtQtzzbtfNKp0bxWacGZPWmxNY+2jbv4ionYInW1bdwlJi4ovzn25PwhNCptVEP2\nG+tki1yjk8+tr5zGxGn8jOMFuI5755NO5cC0DVE5Nk8EbRln9HnX7WxefH5iEskbT/v8XbfXPo7V\nY8fQHB8pM6j7l+ufx0qp6Uqpbyx+lydauUVdY5RSC5RSC3btCm57AkEImpysDJo2ip3gVLp8tdmt\nTdNkNsmRozYnBgjJJ29b6FXx2d/9AaUzNsbITqkxr1UaifUbY67LHBeU3xybty3PUvYb62SLXKOT\nz62v3FK78TOW52XcgRjZnD8SbxVn9HnV7WxefH5iklW+nc/vdXvtY6NuHkOz31xmori+e9FaX5Bg\nHVuAzga9U9hmVddEYCKEDgBOsF5BSDpfF19IeWU1v3vnG245vycvzNtgG9uvSz7VWrN+z5GE6+1W\n0DRmPzQ3fhheTyYIgiCkN7WxoGQ+0FMp1VUplQN8D3i3FuoVhKTTonE2bZo14ukf9KegeSMevNL+\nUf2K7aXk5oT+Fpr6i6Fc0Ldd1DeoqJVrXd8xnFDQs20zy5hLTmnPyBPbxdjWTxjNOT3auJYvCIIg\npJ5Et8v4tlJqMzAYmKyUej9sP0EpNQVAa10J3AK8DywDXtNa1zyPRhDqAVcP7GzrW7L1IBOv689d\nF/Wmd7vm/O26/nRr05QHrzqVn57r/qn1nRf1BuCq/p04WhH72rRDeDF/q6Y53HZ+T7IzFbed34PH\nvtcvgasRgqD5iC6Osl3qJab5iC4Jx7jFxetPVqzfa0pG6mYzy9/03FPDPmvWrBg54ovIdnYrv5/U\nry+d/F6vzSkuMhbmWLexMI6h2W8c6yBIaGKmtX5ba91Ja91Ia91Oa31R2L5Va32JIW6K1rqX1rq7\n1voPiTZaEOoiuTmZdGqZy9jhPVBKoZRi5q/O4+oBnRl5YjvX/dE65jdhzQOX8NBVp1JWHlozVtg6\nl9d+NpifDg1N7LIyMjilUx6r/nAJv7ywN5f36+hUpFAL5I0sdJTtUi8xeSMLE45xi4vXn6xYv9eU\njNTNZpY/3bSohn327NkxcsQXke3sVn4/qV9fOvm9XptTXGQszLFuY2EcQ7PfONZBIN/GC0ItcOGJ\n7Zh913D3QBcyM0ITushi/ieuPZ1BXVtRFd5oLR2+rBQEQRDiRyZmghAwPx3aFQht2Bph4nUDKGje\nKO4y/3v70Bi9dbMcILTGDaAqfHBmMo6MEgRBEGqPQPYxSwayj5lQVzm3VwG/uKAXha2b8v1BXfjp\n0G41ttaw4xcX9OLGIV1ZvfNQzFeXf/j2KTFxw3oV0LdDC87q3hqA3JwsXvxsI/87ui8d8poEdzG1\nTH3cx8zM2rWP0bLlWSlokZBMzONq1LXWaP1uVF+79jHy88+ka9eulnIktqr6P3TrOgogKkdSY2yL\nvO0xPmOKXhGNy88/ky6FX9WwRcroWnRRjfIKC8tiZGNecx67/JE85rq95ne6JmNsJL+x76z6wJja\n9bPTGEXG0ZgP4Omn71d33fW7hxP9b0memAlCEmnbojFtWzR2DzTQvHE2TbIzHWNaNs3hCsNXmiee\n0IL1E0ZzRpeWcbVTqD3WrX881U0QkoB5XI368OHDY/R16x9n+PDhtvLx2PcMJb4Xk8bGvmcZA+/F\nxIXqqWmLlGFdXqzslMcuv13dXvM7XZPRbt131tfr1s9OY1RzTEK0bJnZgQCQiZkgpCEtc7NT3YQG\niVKqsVLqc6XUV0qpJUqpkrC9q1LqM6XUaqXUq+GtfwRBEAInvQ/3E4QGSvFlJ/H9MwuZv34vvdo1\nT3VzGhLHgPO11oeUUtnAXKXUf4FfAn/RWr+ilPorcCPwTCobKghC/UQmZoKQhiil6N2+Ob3by6Ss\nNtFaa+BQWM0O/zRwPvD9sP0FoBifE7OH1m3jrq4d6Fp0W4xulJ1sflLA0eYkJ+LzkzeRutxkJ5ub\nz2087OTIuEZsVxp0IMbvJptTJ1+8+d1sTnJt5YmnrUH3oZ/r27evKvY/7ngJLUpMv1///v21IAgN\nC2CBTvG9B8gEFhGaoP0JaAOsNvg7A9+4lWO+h7Wb+aWtHpGdbH5SN5uTnIjPT95E6nKTnWxuPjeb\nk+xkE+o/Qd2/ZI2ZIAiCAa11lda6H6FzfQcBfVLcJEEQGhAyMRMEQbBAa70fmEXoyLl8pVRk6Ucn\nYEvKGiYIQr1G1pgJgiCEUUoVABVa6/1KqSbASEKvM2cBVwGvANcD7/gt+86idrZ6RHay+U3dbE5y\nIj4/eROpy0320pfx2Nzaa2cTBK8oHd4xPN1QSu0CNqS6HYIg1CqFWuuCVFWulDqV0OL+TEJvFF7T\nWt+nlOpGaFLWCvgS+KHW+phLWXIPE4SGRSD3r7SdmAmCIAiCIDQ0ZI2ZIAiCIAhCmiATM0EQBEEQ\nhDRBJmaCIAiCIAhpgkzMBEEQBEEQ0gSZmAmCIAiCIKQJMjETBEEQBEFIE2RiJgiCIAiCkCbIxExI\nS5RSNyiltFLqmlS3RRAEwQ9y/xISQSZmQrpyPbAXuC7VDREEQfCJ3L+EuJGd/4W0QylVCKwDvgu8\nCnTSWm9PbasEQRDckfuXkCjyxExIR64DFmit3wSWAT9IcXsEQRC8IvcvISFkYiakI9cBL4Xll5DX\nAYIg1B3k/iUkhEzMhJSilPqBUupQ+PdfpdQ5QFfglXDIS8ApSql+qWulIAhCTeT+JSQDWWMmpBVK\nqYnAjcAug7kt8JjW+o7UtEoQBMEduX8JQSATMyFtUEo1BrYDdwKTDa4rgd8BHbXWlalomyAIghNy\n/xKCQl5lCunEFcBR4J9a6+2RH/A8kAWMSmnrBEEQ7JH7lxAI8sRMEARBEAQhTZAnZoIgCIIgCGmC\nTMwEQRAEQRDSBJmYCYIgCIIgpAkyMRMEQRAEQUgTZGImCIIgCIKQJmSlugF2tGnTRhcVFaW6GYIg\n1CILFy7crbUuSHU7gkDuYYLQsAjs/qW1Tstf//79tSAIDQtChz+n/P4TxC9yD3vkgxXR64vITjan\nNNEYt7h0luPx++m3eFI3m1fZSvcaI/jDSz9b2byMY2bzNlt1APcOeZUpCIKQRB6bsaqG7GRzShON\ncYtLZzkev59+iyd1s3mVrXSvMYI/vPSzlc3LOGY2ze8QRBtlYiYIgiAIgpAmyMRMEARBEAQhTcgs\nLi5OdRssmThxYvGYMWNS3QxBqBUOHK3gubnrGFDYEqVUDf+hY5XkZMX+HXWwrIKLH51D/8KWtG3R\nOMZXVlHFgaMV5Oak7fc9lpSUlGwrLi6emOp2BEHkHnbmhol0PuNCgKisNQzeOBG6Dg3J3VvH+mz0\nTqdfyODuraO2SDm6aEhUP6tb65oxFj6rODt/Osjx+CPpL7LejOlLuz626k8nnVl/jMrRcTbYorJx\nrMOyMd5KN+e10qPp+rn+bX786SDH47ewWfWh3763G+uSf87a9rt77n444ZtHEAvVkvGTxf9CQ6G6\nulr/8tVFunDcJD1tyfao7d1FW/TR8kr92do9unDcJP3hip3RPBv3HNajHv1IF46bpK9//rMaZX7v\n/+bpwnGTau0agoJ6uPhf39vi+AXayfHobnbhOH76zs84WMl+bUGk8dj8+NNBjsfvZAsyDctB3b/q\n1p/TglBP2HmwjNJjlXQvaMZPXljAjOU7AThaUQXA/PX7uPXlL/nRWYUUts4F4PrnP6dLq1w+uns4\nN/17Icu2HQTgWEV1TNkb9xxh3to9tXg1giAIQlDIxEwQUsCgB2ZY2m99+Utemb+RMed2B2Dm8p2c\n1a111L9x7xGe/nA1+w6XR23lVaGJ2R2vLmLj3iMs3LAv6nvps40M611Ax/wmybgMQRAEIWBkjZkg\nJMAvXvmS9XuOMKCoVYz9nUVbqKjUtDOt/Yrw6HT7z9437T3Kf77cAkBpWWX0yViEj1fvofRYZVTf\ndqCMR6evYvn2UrYdKIuJnbF8J8/PXcdV/TvRokm2r2tLBfVxjRma0DoVsJfj0d3sNjy96GkGth9o\nK3tJ52+f79vmN49Tm8xtt9I99ZGV3c84WMl+bUGkRUP82/z400GOx+9kCzINj2vJCzMCuX8prXWi\nZaCUeh74FrBTa32yhV8BjwGXAEeAG7TWXziVOWDAAL1gwYKE2yYIyaRo/OSovPL+i8nJyqCsooo+\nv2/AjSoAACAASURBVJ0KwJy7h3PxY3N455Zz6F7QDIDXFmzi7je+rvW2rp8wutbr9ItSaqHWekCq\n2xEE6XoPO+WFU1h8/WJb2UsK+Lb5zePUJnPbrXRBqG2Cun8FtV3GP4BRDv6LgZ7h3xjgmYDqFYS0\n4e0vN/PkzFXRSRnAkzNXc+hYJa8v2AzA3sPlKZmUAVRVH/8j7Gh5Ff+ct57q6sT/MBMEQRCCI5A1\nZlrrj5RSRQ4hlwP/1KHHc58qpfKVUh201tuCqF8QaoOqao0CMjJqbmcBMO7Nmn+tv7pgEwB/nb2G\nNbsOpXSt19gXv+BHgwsZ+9IX7D9SAUDnlrkM79M2ZW0SBEEQYqmtDWY7ApsM+uawTRDqBIs27af7\nr6dwaskH7DhYRtH4yUxZ7O/vimlLd/CPT9Ynp4EemLpkOz949rPopAygOoClDIIzu554MvA0HltE\n/tPKMxzln5/2c3Y98SR/WnmGrd0qxi3OKEfinPI4tcEoR64vEuunL/z2sZc0HpuT7EX3GuNGPHlq\nG6c2xtMvXvvdz/glSiBrzADCT8wm2awxmwRM0FrPDeszgHFa6wWmuDGEXnXSpUuX/hs2bAikbYKQ\nKHe/8RWvhV9H/vvGM/nhc59xTo/WfLy6bm1L0Sgrg2OVx7fXmPij/lx4Unvb+MPHKqms0uTl1s6H\nA/VxjdmyPn3pu3xZoCng21YbcirigvJ76U8vKeDb5iR70b3GuBFPntrGqY3x9IvXfvcyfieuWJ5W\na8zc2AJ0NuidwrYYtNYTtdYDtNYDCgoKaqlpghDL/iPlVFbF7g2WlXn8n0p2ZuhV5u7ScuoaxkkZ\nHF931uPXU7jj1UU14oc9NIvT7vugVtomCIIg1N7E7F3gOhXiLOCArC8T0pHKqmr63TeNX78du14s\n27CuLDt8NNKKHaW12rZkENkDrbJa8/aXNf5WYvehujf5FARBqMsEso+ZUupl4H6gS0lJyc9KSkoO\nlJSUnFlSUjKguLh4QUlJyWpgMPA4oS80xxQXF291KlP2MRNSQXlVNU/OWs2SrQf5xQW9ovbZK3ex\naNN+AH50ViEvfb4xVU0MlPN7t+WkjnnRfdX2Hi6nSU4mnVqGThuI2I19kUzq6z5mTc8cBBqW7GxD\nx14to3rTMwfxzY4Cup5/cg3daI/ki6S5gwbVsK0tGh0Tvy+/F0XDT6rh/2ZHQQ37rsO5tjFW5Rjj\njbJVHqv8h046L1qPUTbncWub1fWby4z0iVt+81iY+9M4bo46xIy5J5uT7EX3GuNGPHlqG6c2xtMv\nXvvdw/g99N//BnL/CuSJmdb6Wq11B611tta6k9b6Oa31X7XWfw37tdZ6rNa6u9b6FPPaMkFIFypN\n20ccLKugaPzkmEX7499KzXYXySByBFSEf87bwPcmfpqi1tRPCm69JZrOn7w+RgdYuqvAUjfaI/ki\nqZXNHL90V4Gl38ruFOMWb5St8ljlN9bjVKdb2+yuz6oP3fLbxVuNm5NuHnMvNifZi+41xo148tQ2\nTm2Mp1+89ruf8UuU2nqVKQh1gqqq2InZtv1lNWK+2XKwhq2usv1gGVc89XGqmyEIgiCEkYmZIIR5\n6bON/GdR7DorZb1lWaBM/+Ww5FdiwzMfrom+onVCNqIVBEGoHWRiJghhfv32Yu59d0lSyv7fS/pa\n2k/rlIfNfrVpRVllFVXVmsOGMzoF73zy+osADBxdFJUjtO20NEYfOLooJjXGGG3mOLPPzm+V+vWl\n2u/3erzkM8vGcTHaP3n9RVvdOLZWspPNLsYtzi7GzZaoHK8vkTx28X77wWvf+vUFhUzMhAbPuQ/O\nijnz0ki5aXuJePnpud2i8j9+PJB7Lu7DXRf15j9jz6FbQTOeuPb0QOoJiqpqzfz1e6P6H6cs58wH\nZnDSve8T1N6HDYl5b7wMwKBLu0XlCBsXT43RB13aLSY1xhht5jizz85vlfr1pdrv93q85DPLxnEx\n2ue98bKtbhxbK9nJZhfjFmcX42ZLVI7Xl0geu3i//eC1b/36giKQI5kEoS6zce8RW18Q6696tG0W\no5/Xuy3n9Y49BunS007g1pe/TLiuoHh61moenrYyqv/r0+ObPX+xcT/9C1umolmCIAj1HpmYCQ2W\nsooqHv5gha3/va+21vhK0y//+PHA6CRm7QOXOB6B9MwPzuClzzcyZ9Vu13JvOLuIawd1YcnWA6zf\nfZjHZ65OqJ1mPli6w9b367cW8/4d5wZanyAIghBCJmZCg+WNhZv525x1tv5EnmB9PP582rdoTKZh\nAVlGhiID+wVlF5/SgVM65THkT7Nq+C7o25aBRa1o1TSHY5XV/PCsQgB6t28OEPjE7Fhlla3vYFmF\nrU+wZvBV11rKVrpbfqF2sOtzp/Fzk51sTjF+473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2v2E828zGoaP+hlv6367d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=\n", "text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nonlinear transformations involve solving for a new set of decoding weights. Let us add a third population connected to the second one and use it to compute $(-A)^2$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "with model:\n", " A_squared = nengo.Ensemble(30, dimensions=1, max_rates=Uniform(80, 100))\n", " nengo.Connection(minusA, A_squared, function=lambda x: x ** 2)\n", " A_squared_spikes = nengo.Probe(A_squared.neurons)\n", " A_squared_probe = nengo.Probe(A_squared, synapse=0.02)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(2)\n", "\n", "plt.figure(figsize=(10, 6.5))\n", "plt.subplot(3, 2, 1)\n", "plt.plot(sim.trange(), sim.data[A_probe])\n", "plt.axhline(0, color='k')\n", "plt.title(\"A\")\n", "plt.xticks(())\n", "plt.xlim(0, 2)\n", "\n", "plt.subplot(3, 2, 3)\n", "plt.plot(sim.trange(), sim.data[minusA_probe])\n", "plt.axhline(0, color='k')\n", "plt.title(\"-A\")\n", "plt.xticks(())\n", "plt.xlim(0, 2)\n", "\n", "plt.subplot(3, 2, 5)\n", "plt.plot(sim.trange(), sim.data[A_squared_probe])\n", "plt.axhline(0, color='k')\n", "plt.title(\"(-A)^2\")\n", "plt.xlabel(\"Time (s)\")\n", "plt.xlim(0, 2)\n", "\n", "ax = plt.subplot(3, 2, 2)\n", "rasterplot(sim.trange(), sim.data[A_spikes], ax)\n", "plt.xlim(0, 2)\n", "plt.title(\"A\")\n", "plt.xticks(())\n", "plt.ylabel(\"Neuron\")\n", "\n", "ax = plt.subplot(3, 2, 4)\n", "rasterplot(sim.trange(), sim.data[minusA_spikes], ax)\n", "plt.xlim(0, 2)\n", "plt.title(\"-A\")\n", "plt.xticks(())\n", "plt.ylabel(\"Neuron\")\n", "\n", "ax = plt.subplot(3, 2, 6)\n", "rasterplot(sim.trange(), sim.data[A_squared_spikes], ax)\n", "plt.xlim(0, 2)\n", "plt.title(\"(-A)^2\")\n", "plt.xlabel(\"Time (s)\")\n", "plt.ylabel(\"Neuron\");\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 23, "text": [ "" ] }, { "output_type": "display_data", 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AQlRFOjethYiwEKfXjBLFpeW45R8rAABH7F88Ev7jsY+34va3f8UHa48BsE2O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NK2Uet3I32jlketz5V0Ru8fpftSbjfaXkZtLHozIMJedp4mMzOTbtu2zS1l3zDvD+w6VaJqf3ti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\njChwnR0Tnx18/y3gf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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Principle 3: Dynamics\n", "\n", "So far, we have been considering the values represented by ensembles as generic \"signals.\" However, if we think of them instead as state variables in a dynamical system, then we can apply the methods of control theory or dynamic systems theory to brain models. Nengo automatically translates from standard dynamical systems descriptions to descriptions consistent with neural dynamics.\n", "\n", "In order to get interesting dynamics, we can connect populations recurrently (i.e., to themselves).\n", "\n", "Below is a simple harmonic oscillator implemented using this third principle. It needs is a bit of input to get it started." ] }, { "cell_type": "code", "collapsed": false, "input": [ "model = nengo.Network(label=\"NEF summary\")\n", "with model:\n", " input = nengo.Node(lambda t: [1, 0] if t < 0.1 else [0, 0])\n", " oscillator = nengo.Ensemble(200, dimensions=2)\n", " nengo.Connection(input, oscillator)\n", " nengo.Connection(\n", " oscillator, oscillator, transform=[[1, 1], [-1, 1]], synapse=0.1)\n", " oscillator_probe = nengo.Probe(oscillator, synapse=0.02)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "with nengo.Simulator(model) as sim:\n", " sim.run(3)\n", "\n", "plt.figure(figsize=(10, 3.5))\n", "plt.subplot(1, 2, 1)\n", "plt.plot(sim.trange(), sim.data[oscillator_probe])\n", "plt.ylim(-1.2, 1.2)\n", "plt.xlabel('Time (s)')\n", "\n", "plt.subplot(1, 2, 2)\n", "plt.plot(sim.data[oscillator_probe][:, 0], sim.data[oscillator_probe][:, 1])\n", "plt.grid()\n", "plt.axis([-1.2, 1.2, -1.2, 1.2])\n", "plt.xlabel('$x_1$')\n", "plt.ylabel('$x_2$');\n", "hide_input()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " Show Input\n", "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 25, "text": [ "" ] }, { "output_type": "display_data", "png": 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m9Q7FnoxSZAv9hTNL1KY0l72ZZUJ+XhnOFVRbpL9kASC5cxMTQrDh4fEAgBpN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\nhDit7Xfn2DQiQwIJD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