{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "I'm currently taking the [Plasma Physics MOOC from EPFL](https://courses.edx.org/courses/course-v1%3AEPFLx%2BPlasmaX%2BT12016/). One of the interesting aspects of the plasma state is that it is, over large scales, electrically neutral but on shorter scales indexed by the Debye length, locally non-neutral.\n", "\n", "While discussing this over lunch running with a colleague, it occurred to me that this is something that can be nicely illustrated by a simulation using + and - charges. So this is what this notebook is about." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulating a medium with + and - particles " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To simulate a medium, we just need a distribution of particles. Our distribution has a fundamental property: it has a scale by which the structure is measured. In our case, we will use a lattice of $(x,y)$ points that are all 1 unit apart. To make things look more realistic, we will add some gaussian noise on the order of .2 to each coordinate we draw." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x_lattice_coords = np.arange(0, 100, 1.)\n", "y_lattice_coords = np.arange(0, 80, 1.)\n", "\n", "x, y = np.meshgrid(x_lattice_coords, y_lattice_coords)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also define our center, for further use." ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": true }, "outputs": [], "source": [ "center = (50, 40)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize our points:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.style.use('bmh')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.pcolormesh(x)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.pcolormesh(y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's add a bit of noise to the lattice:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x += np.random.normal(size=x.shape)\n", "y += np.random.normal(size=y.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our lattice is complete. Let's plot each point in it:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SxQRhW7eQkqm/xGgpoeatFxV9qs/MP+GYC/s9MsUV8nvxNtlAUKPSm+Lei0qjxdnlIyc3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\nz8g21PI5+Bv2klc7gf6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I6FTsmFDRsWWFxHRSabIiBZufvx+dzUGktx210UxH/XI0BjOl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\nHhy5JVhSXRRNvFF1gWSedK6aRaO4vLSLrS0zP8ZStSS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hCuwFQ1SqgJY3F+BMTqZb2PC2\nNIDVTt7EX+soNeo3r0Nqroagj+zxN6v3LR8v579+ezXLX3+bqsY2vt65i9RRF9P8xXsq5YIUDpMl\ndTK4MJPN1T7d79hTQsKAXa9x/123M+/pxTR2+Ni3ZxeNpMRw9of8XrI+XcTLi5/t+UHv5+j3nZgS\n0S1zw7S7+aS8jeyRBwmivDV7OXVoMS8vfIpyj4erb5uOc/KdMcGhZF8TwwbmU1bfiXX0VJ1SUtrQ\n6TNFngBQg2nt+7+i9oOVmKx2zN5mFs07dAeZm/7jnhg3ScjvJWfri+S682js8OmUc7QyUc4v2fkK\nqalpMef/EPzj44+5+8FHqO8KMvBXsRkKOV+u5G+PzQbiKzdlHq1hP6FhE6j7aLWOn6T1HytZ+9f/\n5orbZ5A0ZqpuQVCs7YYtbxIO+BFmC4GOZuyZ+aQfN5LWnZ/ir/eQ6TBRWFRMcV62OlZl0Wrs8GGT\nfDG/Yc0r8zjxmEJMzlQcIkg4HMIv7HHP1QZ7teONxi/vmBl3sa1eNRdr0U9iOIKOr3pHzfqI91lA\nziyx2nQKWNnx3X/X7VRVVfGbB5/UWdU1Lz9E/lX3xtwX2usp81NxoIHaAzXkF5dSmJXG9FuvB1Dn\nLt79822fvebOWTQELeqz4a0t58DGv1GiWdgDHy5l6cMzdN/7yztmUlU0OqZzVu3rT7LuqTkJbbEb\n3DK9AJ+wq1QAkhTGZLZQcunvsFZ+CMgZNcv+Ok/nnrAkp5HvFCx8ZI6qKB545Ek+3rEP0t1q1Zzl\n63cZsOs1tny9j/bOToom3SLnKUe28qkDhslZLR8vZ+Hsud96c95/1+1MvWcOaBRL4MOlPBz1ECiY\nfuv1MW4VPl7OrNl3H7EH4YzTT+cf61bIijuOK0NLvRotj3YeAW6cORdbpLAqHArS+PZCnpsjj234\noCL2R/PceDto+nA52aOnUL95HSFvBwXjrqF5+/u07vwUGspZ8tCMuAtmaUmJqsimzXwA63GXq7Kb\nbU7yL59OjkbZKYh3rrbq9lBUs/Eqoy3JaWTkuHHF4UPXZn30WFXdXMnAQYNoWfco+cWlnDg0h+m3\n/l79fUtLSlj710KdMk4/bggdcTJNtNfTzk88HOq9b/vsi4/OYtbc+Wx/bS4mm5Phg4p4+MG7WP76\n2wcXjDj3dHaKndqoe0AKhxk1OD+hFfuRgNFDNQ601mRb2TY1cn981IOttfR6snZ7OmfazAf4PGm4\nyogY6u4CIFXq+t4sdoeSY9OmTWpk/vvIfSQQj2lTcQ/Fs+qi5dm0aRPFJSU9ylru8TD1njk6iznw\n4VIemnatqhRskg+TyRzXvXQo9GQVx7PCezq3bNkcBhTkxYz3u8zRgCxn3B1ZtCX9Xeb3uyDejq5l\n52ZOs9f16/zwQ81BhccTc+8nEvq9WyYRlbv2hon2WR8pJXgkH8xDIZ5y/zFxOAvJd5G9txaqntxX\n0Qv8oc5teOl+1ry08FvliTcG4LAWxu+LePdj++t/YcVT37577GscyjgwlHsvIhF97vDjWLc/lgVt\n4Pvj+yy+vbVQ/9j3h3E/9i8Yyt2AgV7C91F2hmI0cKTR75V7IrpltEj0rV0iy5/IsoMhf18j0eU/\nXOVuOpLCGDBgwICB/gHDLWPAgAED/RCG5W7AgAEDBmLQ68p927ZtvX2JXoXC2paoSGT5E1l2MOTv\nayS6/IcLw3I3YMCAgaMQhs/dgAEDBvohDJ+7AQMGDBiIgeFz/xYkut8ukeVPZNnBkL+vkejyHy56\nXbnv2bOnty/Rq/jyyy/7WoTDQiLLn8iygyF/XyPR5T9cw7jXlXtnZ2dvX6JX0dra2tciHBYSWf5E\nlh0M+fsaiS7/F198cVifN3zuBgwYMHAUoteV+4EDB3r7Er0Kj8fT1yIcFhJZ/kSWHQz5+xqJLv/h\notc7MU2YMIGtW7f29mV6Daeccoohfx8hkWUHQ/6+RqLLf+KJJx7W53s9z92AAQMGDPz4MHzuBgwY\nMHAUwlDuBgwYMHAUoleUuxDiz0KIr4UQ24QQq4QQaZr3ZgghdkfeH98b1z8SEEJMFELsFELsEkLc\n09fyfBuEEEVCiI1CiB1CiC+FENMir7uEEBuEEN8IId4SQqT3taw9QQhhEkJsFUKsiRwnjOwAQoh0\nIcSKyL29QwgxKlHGIIS4UwjxlRBiuxDib0IIW3+WXQjxvBCiVgixXfNaj/L2N73Tg/xHVG/2luW+\nAThekqQRwG5gRkTAnwJXAT8BJgELhBA/mDuhtyCEMAFPABOA44GrhRDH9a1U34ogcJckSccDpwO3\nR2S+F3hHkqShwEYiv0U/xR3AvzTHiSQ7wGPAG5Ik/QQ4EdhJAoxBCFEA/A44WZKk4ciJFlfTv2Vf\nhPx8ahFX3n6qd+LJf0T1Zq8od0mS3pEkKRw5/AQoivx9MbBckqSgJEn7kQcwsjdkOEyMBHZLklQu\nSVIAWA5c0scyHRKSJB2QJGlb5O8O4Gvkeb8EeCFy2gvApX0j4aEhhCgCLgCe07ycELIDRKys0ZIk\nLQKI3OOtJM4YzECyEMICOIEq+rHskiRtApqjXu5J3n6nd+LJf6T15o/hc78ReCPydyFQoXmvKvJa\nf0O0nJX0TznjQggxABiBfIO4JUmqBXkBAHL7TrJD4lHg94A2fStRZAcYCDQIIRZFXEvPCCGSSIAx\nSJJUDcwDPMjPZKskSe+QALJHIbcHeRNF72hx2HrzByt3IcTbEf+c8u/LyP8Xac6ZCQQkSVr2Q69j\n4PtBCJECrATuiFjw0bmu/S73VQgxGaiN7DwOtd3sd7JrYAFOBp6UJOlkoBPZTZAI85+BbPWWAgXI\nFvyvSADZvwWJJi9w5PTmDy5ikiTp/EO9L4S4Hnmbfa7m5SqgWHNcFHmtv6EKKNEc91c5dYhsqVcC\nSyVJei3ycq0Qwi1JUq0QIg+o6zsJe8SZwMVCiAuQXQKpQoilwIEEkF1BJVAhSdJnkeNVyMo9Eeb/\nPGCvJElNAEKI1cAZJIbsWvQkb6LonSOqN3srW2Yi8hb7YkmSfJq31gBTIpH4gcBg4NPekOEwsQUY\nLIQoFULYgCnIsvd3LAT+JUnSY5rX1gDXR/6+Dngt+kN9DUmS/ihJUokkSccgz/VGSZKmAmvp57Ir\niLgDKoQQQyIvjQN2kADzj+yOOU0I4YgE6sYhB7b7u+wC/U6vJ3n7q97RyX/E9aYkSUf8H7LDvxzY\nGvm3QPPeDGAPcsBvfG9c/wiNYSLwTWQs9/a1PN9B3jOBELAN+Dwy7xOBTOCdyFg2ABl9Leu3jGMs\nsCbyd6LJfiKyYbANeAVIT5QxAP8ZeSa3Iwcjrf1ZduAloBrwIS9ONwCunuTtb3qnB/mPqN406AcM\nGDBg4CiEUaFqwIABA0chDOVuwIABA0chDOVuwIABA0chDOVuwIABA0chDOVuwIABA0chDOVuwIAB\nA0chDOVuwIABA0chDOVuwIABA0ch/g8wCoSMz6rnOAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x.ravel(), y.ravel(), 'o')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's assign some charges to our lattice. We do this by drawing random numbers between 0 and 1. Numbers above 0.5 get a + charge, while the others get a - charge." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "charges = np.where(np.random.random(size=x.shape) > 0.5, 1, -1)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rKIu8S+3OORzZ05WDu7vRs60Ew+wnvP12K6ZNC2Xfvli2bXuCg4MJDg4S9PUF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8LW1gOx2AvRgVw+90okODSMKoEdpeUqEJsyYUIISUkV1NRo6NPHmwMH4nF1sSSzQkJDfAqGmF9p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\nvKiqiiMzM5ULFzSjSX1/4DJKQz8GdvFH18ICv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NyYOXNm/bS/vz8BAQF/JOu5oVWrVty7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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(x.ravel(), y.ravel(), c=charges.ravel())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, there's a lot of blue and red, meaning we've randomized the charges in a good manner." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The point of representing matter as a collection of particles over a square domain is to see what happens when we look into the matter from up close and what happens when we look at it from a distance. So let's zoom in!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Zooming into the matter " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will write a function that allows us to look at the previous plot in various ways." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from ipywidgets import interact" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@interact\n", "def zoom_in(box_size=(0.1, 10)):\n", " plt.scatter(x.ravel(), y.ravel(), c=charges.ravel())\n", " plt.xlim(center[0] - box_size / 2,\n", " center[0] + box_size / 2)\n", " plt.ylim(center[1] - box_size / 2,\n", " center[1] + box_size / 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It turns out we don't see the same thing when we look from up close at the charges and when we look from afar. We can do the following visualization to illustrate this point:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rePzxr7jxxrX4+vYyO5Ih2rtOLr00mmnTegLQpUso06a17nMLDfVn6tRL6qaH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AAAAg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\nU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r0nuaeOknn+PACXpk2j4/7jxMTkEROjj8gtn+9Ci4WLyb58kYxffmHptrfYss8M0GEu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UOPQaewtjZi1qymLF58A5VKw8oVLUlLjyM3t5rc3CqaNbJFq1Yj+sk5c4yK4v71VDwX70ZY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mzZ8oTi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\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fLcbTz4n0dAMhCWspvnmVxzs30Pu7/ZjYfEpVdjYa30hupWixbOJHVXoaiffjGSgzMHp0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\nIH9ee+EyAAEBcg4eyeH27SJOnXrMhAkt6NvdmaFdzDk/og8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s+nQef72dkVs7MWZQNxqK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CwWpxchhLsQ4gshxAUhxDkhxHBL1UlXI4SYLIS4KIT4VQjxbHePpzUIIYKEEAf0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\nGRkZGRkZmS7m/wGd1SiaGRwKDQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "for index, box_size in enumerate([3, 10, 25, 100]):\n", " plt.subplot(2, 2, index + 1)\n", " zoom_in(box_size)\n", " plt.title('zoom box size = {} units'.format(box_size))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In other words, the \"average picture\" or the \"summed picture\" of our particles depends on the scale we look at it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can animate this zooming effect easily using code by [Jake Vanderplas](http://jakevdp.github.io/blog/2013/05/12/embedding-matplotlib-animations/). To embed animations inside the notebook, we have to define the following functions:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from tempfile import NamedTemporaryFile\n", "import base64 \n", "\n", "VIDEO_TAG = \"\"\"\"\"\"\n", "\n", "def anim_to_html(anim):\n", " if not hasattr(anim, '_encoded_video'):\n", " f = NamedTemporaryFile(suffix='.mp4', delete=False)\n", " anim.save(f.name, fps=20, extra_args=['-vcodec', 'libx264', '-pix_fmt', 'yuv420p'])\n", " f.flush()\n", " video = open(f.name, \"rb\").read()\n", " f.close()\n", " anim._encoded_video = base64.b64encode(video).decode('utf-8')\n", " \n", " return VIDEO_TAG.format(anim._encoded_video)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from IPython.display import HTML\n", "\n", "def display_animation(anim):\n", " plt.close(anim._fig)\n", " return HTML(anim_to_html(anim))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from matplotlib import animation" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "FRAMES = 50\n", "fig, ax = plt.subplots()\n", "\n", "def init():\n", " ax.scatter(x.ravel(), y.ravel(), c=charges.ravel())\n", " \n", "# animation function. This is called sequentially\n", "def animate(i):\n", " box_size = np.linspace(0.1, 50, num=FRAMES)[i]\n", " ax.set_xlim(center[0] - box_size / 2,\n", " center[0] + box_size / 2)\n", " ax.set_ylim(center[1] - box_size / 2,\n", " center[1] + box_size / 2)\n", "# call the animator.\n", "anim = animation.FuncAnimation(fig, animate, init_func=init,\n", " frames=FRAMES, interval=100)\n", "\n", "# call our new function to display the animation\n", "display_animation(anim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gives us a better idea of what we're looking at, on average, which depends on the scale we look at it. To give a better illustration of this phenomenon, we will plot the summed charge in a circle with a fixed radius in the next section." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Summing charges over a circular domain" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Summing charges is quite easy. We compute the distance to the center of our cloud and sum all particles which are below a fixed radius:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def sum_charges(x, y, charges, radius):\n", " inside = np.sqrt((x - center[0])**2 + (y - center[1])**2) < radius\n", " return np.sum(charges[inside])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To better visualize this, we define the following function:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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P4kvrbHRfOuIrfriLTwzxKQVVVR1jpTtzFbW1ZtavP9q6/dW3xxg6\nNobdby0nNms4qdNPByAhIYynn76ObdtKiIoKYvx4z6RZ795dTm2tGcjiyJE68vNrSU11YoypHZpM\nktCyjjMiPYMffijm0KFqfvihiOzsSubM+ZHrr59IfLxnJZXcue6NlZUYy44v6Tn6/QbS58zxmH1n\naW9bKS1ZIjm58+MVoKxeWajcosWXbV+su0VEvgSuQtPie9weeO6lndSRXZj5BbQsvyLgRxH5WCm1\nDx2dnxA+0YOqrYWmJs/YiogIZNSo4wtgJo2OoLHgIKAVE3QkIyOKCy8czpw5GT0IkTpPfHxbO5GR\ngW7ZiRo6lBkPP0zCxEmMueJKZNA4/vzndVgsNrKztfL133xzhAMHOiw96xdCYmMJHXA8yKdNO60f\nvWlLVVXXKeeBYWHMefJJwlNTCXRmsspJlFLH7Oor2BUkHLX4/mk/7J/AhZ00nwrkKKXylVIW4F17\nO5/Dl+Y4dF864it+uItP9KC0eYKOw3vZ2etcftqOigrivvtOY9euMvz9FOHHtnNo9W5iR44ibsTI\nXtvvidGj47n77qmsXr2Kiy66oNP6Rc7gFxBA2owZpE6fjhgM5OXVYLHY8PNruU77gSx6KSzeKe5c\nl/CUFGY/8TjVuQcJio4itt217q19Z+nMttkMNTUQ00UJq6TJk/n1V19hs1jI8eAwXwvdafGJSGdd\n91TgiMP2UbSgpaPzk6LfA1RjI9TV9Tz3ZDWZqMzJwdLQQNTgQYQlJHZ5bEpKOCkp4QA0Vccy4oxJ\nBEZEEtzVHcqDREYGcc45Q0hMHMWECb2vpttSdyk5OZybb57E4cO1zJkzkC1b8pg/fyRZWW7IJXiJ\nyPQMItMzvH4epRTVhw5hrqkmPCWVsKSkHloIlZVCTEzXKedhCfY44eEA1V6LT0Sc1eI7IfCldTa6\nL77rh7v0e4CqrqbLkhqOT8KFGzaw4a8PAzBgzFimP/AAIU5o2QRHRxPcRf2Fvq6p1BuCgvyYP38o\nZWVG/P0NBARMIjw8kMBAz3ehXPW9oKCGwsJ64uJCyMyMaVO12BP221O+ezff3H47NouZqEGDmfno\no4TZJ5m6sl1XJzQ0KMLCenVql+iFFl8hkO6wnWbf1wZdi0/X4utp+yelxecO3emFKQV79hiwWLq/\noSmlWHPnnZRsPV7C4uyXXyZ2eJZHfdVxnYKCGm699Wuqq034+xtYunQuo0Z5V75hx+uvs+ed/2vd\nnvPkkyROmtxNC42EBCv25WRd4iNafH5oY7hnAsXAD8ClSqm9jsfpWnw6JxL9qcXnFvX12vqnrmhZ\n0yIiJDqU6giOjSMwIrLX5z8RtfjM9fXUHj3KprX/9Yp9cM33wsJ6qqu1PO7mZhv79lV41H5nRA0Z\n3PraEBBIYNTxHnJ3tmtr++7PvTdafEopK3ATmkjsbuDd9sFJR+enQL8O8WlzT84F1MHnnEN4cjJN\nlRUkTJxEeFd5wycxjZUVZL/8MvmrV1OTFM7IwWOJHDiwX32KiwvB399Ac7OWJpee3umyHo+SdMop\nnHb//VQfPETKtGlED3FOAaSpCRoa6JNhvt5o8dm3vwB8fojAl+Y4dF981w936bcApVRH5Yj2OM4n\nhMTGku7hlf4n0hwUQPXBQ+SvXg1A1LF6jm3e7JUA5YrvmZkxLF06l717K8jIiGT06J7nBXt7bYIi\no8iYeyYZczuOZ3dvW6it7ZsApaOj03v6LUA1NGjpvzrO4xfYdk2Vf4hn1m71BoNBGDUq3uvzTp6i\ntlZITj6hE+d8Cl96Otd96Yiv+OEu/TYHVVsLPQ3vnfh1iTxL9LBMJt54ExFpaTBtLEmTJnr8HHBy\nX/fGRqEbmUAdHR0foh8DVO9PbbFY2b+/gu3bS6iq8pAUhQ8TGBrG8Isu4qwXXmT4zy8itJu1YH2B\n0Whh7dojPPfcFr7/vhCTqaNkUFVVIxs3FrJhQyHl5b4QGcT+cKTjCXxJ6033pSO+4oe79EuAMhqd\nkzbqaa5iw4ZCrr9+FX/60ze88ko2tbUmamqaKC1toLm5Z321E20OqrnZyr79VWTvqyclzXvCAs76\nvndvBQ8++B0rV+awaNE69u+vbPO+2WzlX//ay333reP++9fx2ms7MBot/X7da2u9X9JFRP4uIiUi\nssNh3zgR2SAi20XkY/si3s7a5tmP2SYiP3jd2V7QsvbIF9B96Yiv+AGQnZ3tcpt+CVA1NdDbuk9m\ns5X33juunfnll3nk59dy661fc8UV/+Wzzw7R1NTcO0d9jK1bS7jpptXcc89aHnhgPaWl7pfz8AQV\nFY1ttqur2z511NWZWb06v3X7m2/yqavr/4lHo1E8pv3YDW8C57Tb9zpwl1JqPPARcFcXbW3AbKXU\nRKWUT0sc1Wg/Zp9A96UjvuIHwPbt211u0y8Bytkn2O7mEwICDIwYcTxjLCYmmCNHasnPr8VksvLs\ns1s4cqT7sZwTbQ5q9ep8WhZW5+RspLTUO0NmzvqemRlDVFQQAAMGhDBoUNu1aWFhAUybdnxl7Cmn\nJBEWFuAD1937w3xKqfVAeyXfYfb9AKuBX3TRXPARIWcdnf6kz7P4mpqgqan3Qywiwq9/PYLk5HAq\nKoycddYgPv44p8MxJxNjxw5o7ZEEB/sTGRnUr/4MGRLNc8+dSUVFIwkJoaSktFUDDw7256qrxnDq\nqclYrYrRo+MJD3dP3d1V8vJqKC01kpAQyqBBHddm1dUJCQl9ns23W0QWKKU+AX6FJmHUGQpYJSJW\n4FWl1Gt95qGLFBQU9LcLrei+dMRX/HCXPpc6qqyEggIvSHAD+fk1LFmyieLiBq65ZjxnnpnhFa26\n/qKmxsT27SUUHq1j0oR4ModGU9eoaGxsJjo6yKfLvTc3WykpMWIwCElJYV59eDh4sIpbb/2ahgYL\n4eEBLF16JkOGtNVj9PNTjB5tw9Cun+JhqaMM4D9KqXH27eHA80As8Alws1JqQCftkpVSxSIyAFgF\n3OTQ82rlqaeeUo7DJuPHj2fChAmecN1psrOz+/ycXaH74lt+ZGdntxnWCwsL46WXXnLpt+V0gLIX\nUdsCHFFKLRCRx4GfASbgIHCVUqrDwMlXX32lxgwfTmC4Nh9cWCiUlXlv9KK+3oTJZCM6Ogg/v5Nv\nlKS2IJ/NzyylfPduRlx6GWurMvnw0yNcfHEWl18+ql96Vc2NjZRmZ1OSnU3ipEkkTpiAX9BxP6xW\nG99+e4THHttIQICBRx45g8mTe1Igd5+vvsrn0Ue/b92+//7TmDu3vcq6IjPTRni7NAVvBqh27w1D\nE5Gd1oONB4A6pdTTnvBJR+dEwpU7+C1oumAtfAmMVkpNAHLQKoN2SsOxY62v6+udP6E7cxXh4UHE\nxYU4FZza27fZFIcOVbN9ewllZb1LQPDWPMvh/31J6fZsjjZXsuetfzB8gDbbv2LFfg4fru6htXO4\n6nvl/v2sXXQf+//9PmvvvYeK/W0Lv5aVNbJ48SZsNoXJZGXx4uXU1HRTh70XZGevY8CAtguYBwzo\nrOJwn6yHaqPlZe8RtTzs3Q+83KGBSGhLdp+IhAFnA7u87qmOjg/i1ByUiKQB84FHgdsAlFKrHQ7Z\nSNcTvq2KBxaLZ+afQKsPZa6vJyAsDP/gYI/Y3LWrjDvuWENzs40xY+L5859PIzbKH2tzM4GhvqGP\nYwhoO4wnDmNU/v79M5zZWNFWILapom26uZ+fEBLi35rBFxLij7//8b8Dq8lEyfZsSrOzSZgwgYRx\n43v1nWZlxfLEE7PZvbucMWPiycrqvGik0Sh4qxyTiLwDzAbiRKQAeACIEJEb7Sf9UCn1D/uxycBr\nSqkLgETgI3vdKH/g/5RSX3rFSR0dH8fZJIlngDuBrpRAr0YrS90pEala4T6jsevaTy2YzVYKCmqx\n2RRZWZ2PfjRWVrDn7bfJ//ob0k4/nTFXXUVovOtSO+3XzKxendcqerp7dwXmkkLWPv4aTZWVTLrx\nBhImTnJ67sRba30GzZtHxZ7dBOUeZMSlv+GH2kgSEur41a+yGDzYM0KtLlcxHjyYwMgozLU1BEVH\nEzVoUJv3BwwI5ZmnZ7NyZQ5HC+u58cZzCAs7nixRsXcva+/RKk7se/dd5j6zlITx43vl++TJST0O\nIzY0eC9AKaV+08Vbz3VybKtQrFLqMFr1XR2dnzw9BigROR8oUUpli8hs2i1gEpFFgEUp9U5Pthp6\nGDWz2WysWVPA4sWbALj++oksXJjZIdGhct9+clauBODQ5/8l+dSphM6c1dPpeyQz83jF3VOnDCDn\nrb9TsmUzAGsX3c+5r7/eGmz7i4i0NKY/+CDWpiaCIqMILWzAPziY7OxShg2LZezYDnPuXid6yBDm\nPfccjeXlhAwY0EHAtiYvj6LlbzLRaOR31/ye+KFtKxs3VbbtcTVWlHvdZ9B69EYjhHY2AqjTLfZR\nleVoPT4bWg+wQ/DtQ38MwGbgqFJqQT/6EYW23m0M2nW5Wim1qZ98+RPwe7sfO9HyBPpkIaKI/B3t\noavEIUkoBngPyADygF8ppbpdqOVMD+p0YIGIzAdC0IYpliulficiV6IN/c3tqrFj1c/KSiEwMIrM\nzHGtT7ot8x0TJpxBdbWJZcveQ8u7yOKVV94jPv40YmKC2xxfduj4kHwRdew5tIOB9gDlaK+nbce5\nlgkTzmDGjDSKirZSXFzPlb8dS87TKyiiDoAUE6jmZqfttz+HM/64sg2QlTWNBx98g/z8WiCLbdtK\nue22yA7Xy1X7ubk7uPjiG11uH5merm1X5LW+v3njana89iqhh8sA2L1/M7G/OI/fXHFXa/uGpnKC\noqIx1VRTFqY40lRBS0qDq/6vWPFil39fHbeFZcte4tCh3lX9/InSDNxmf3ANB7aIyJdKqX09NfQS\ntwB7gN4XiusdzwL/VUr90l5RuV8ef0QkBfgjMEIpZRaR94BL0B4q+oI30TJWHc93D7BaKfW4vVjn\nvfZ9XeJSmrmIzAJut2fxnQs8BcxUSnVZpa4lzdxq1arnWq1dD5EZjWbuu28dO3ZoN7P4+AJefvlm\nYmPbzkcYy8vZ/uqrHFmzhpTTTmPSjTe4pUuXnb2u2+Gssp07WXvvvViMRibfcgtDzjsXv0DnsuR6\nst1bsrPXMXToVG66aTVHjmhB1GAQli8/n5SUThV0XLLtKd9rjx7l27vuouFYMQBi8CP93ps47cwL\n2x5XUEBjeRkh8QOITE/vzJRTuOp7XJyNgQOP/wY8mcX3U0JEVgLPK6W+6odzp6HdEB9FC5r90oMS\nkUhgm1JqaH+cv50vKcD3aMPFdWjKJc+2yx3wtg/tl1nsA2YppUpEJAlYo5Qa0a2NXgSoHCAQaAlO\nG5VSN7Rv0xKg6urg4EEDPUkcFRTUsGLFfpqarFxyycgO61daMBsbsNTVExAeTqAXC/w0HDuGrbmZ\n0IQBTgenzsjJqaSgoI7ExFCysmIJCPBMQsPWrcdYtGgdZrONu++eyty56f2WLNGehmPH2PT4ElKm\nncaO117DZm1m8q23MuTc8zqUDukvgoMVI0bYWrf1AOU6IjIIWAOMUUq5kKfrsfP/Gy04RWG/P/W1\nD3Y/xgOvovXkxqMNOd6ilGrstqH3/LkZ7boYgS+VUr/t4/O3D1CVSqlYh/fbbHeGS0oSSqlvgW/t\nr4e50raxEZzR30tPj+K223qWHwsMDeuTzLqwpN6v1zl4sIpbbvm6VRvwmWfmMH68Z5TIJ01K4u9/\nPw+bTZGUFOozwQmgobiY0uxsjKVljP7d7whPTSFtxgyfCU4AJpNWl8yHXDqhsA/vrUC7EfdHcOp2\njryP8QcmATcqpTaLyFK0IawH+toREYkGFqLN99QAK0TkN87kCvQhPfaO+mwlq8nk+t+NL9UlMpaW\nUrRxI6Xbt2NxYgGNo+2SEmMb4dqDB3u/XsnRfkpKOGlpER4LTp667oFRUfgFBVNfVMjON99A2RR+\ngUE+oMV3HKUEk3eWZJ302OdYVqAtOP64n9xomSM/BPwLmCMifTXP0p6jaEIGm+3bK9ACVn8wDzik\nlKpUSlmBD4Hp/eRLCyUikghgH+Ir7alBn2jxlW7fTp1kAb6xlshVmqqr+eHJJzm2+UcAptx2O0Mv\nuMDp9klJYYSGBmA0WhCRNtmCfY3F2EB98TH8AgKIGDjQq5JD0UOGMOepJyn+4UeiMjJInNxfv9Xu\nMZkgIqLn43Q68AawRyn1bH85oJS6D7gP2kxB/K6ffCkRkSMiMlwpdQA4E224rz8oAKaJSDBa1tmZ\nwI997EObhepo8l5XAkuAK4AeH2r6RItv08KFxP3uSQZfcBEBPlCm3FWqDx3ii//3+9bt2KwRnPns\nUpfmpHJzqygoqCUxMYzhw2M8NgflChajkb3vvsuet9/CEBjErMceI3GSbwaNviQhwUqKXXRdn4Ny\nDhE5HViLlr6s7P/uU0p90Y8+tc6R96MP49HSzAOAQ2ip3f1S88Iuk3UJYAG2Af9PKWXpo3O3LlQH\nStCGOVcC/wYGAvloaebdDif1SQ9KBUWw/fU3STptJgFpXQk4u0ZDSQm1+fkERkQQnZmJX4BnhVLN\ndXXUFRbiHxxMYHg44alp1BceBSBpyhSXEyYyM2P6tecEWtLCnrffAsBmNrHjzTc5c+zYDuoU/Y3F\naKS5qYmgqCgMft4P5Nrwc58rm5/QKKW+A3xnwpO2c+T96MN2YEp/+tCCUuoh4KF+OndXC9XnuWKn\nb+agAsPxDwvH38WZ6K7mE4zl5Wz461/59p67WXXjjRz78XjPtam6mprDh2ks73mxZ1f2zfX17Hzz\nTVbdcD3/u+YaagoKmPnoI5xy65+Y/ue/MOzChW7b9hTu2PcLCsI/5PiyjPDkZKSTANCfvtcVFvLd\nww/z5bXXcvCzT2l2sbKgO767Mz+qo6PjffqkB5U86xxGzLmC0IQEj9gzlpZQsadFt1Zx+IsvSJ0+\nnYbSEjYteZzSbVuJzBjEjIcf7qBq4AwNpSXkrPwIAFuzhd3LlzP36aeJTG+viH1iEZGayqzFi9nz\nzjuExMQw8rLL2mj59RVNNTUc/Owz6ouKGDhrJrHDs1rfy/vyS479oC2837J0KbHDhhM3cqRX/TGZ\nwGqFPuis6ejouECfBKip9z/iVomNrhZcBkZGERgRiblOq+6RMEHTbavOyaV021YAavPzKN+1q9sA\n1ZV9/+BgAkLDsBg1baaoQYMw+Lt2qby5SLc39v2Cgkg97TRCkxIJiu58jZm3fY8srOHH118H4OB/\nPmHespeItA/9Ws1tlVhsNluH9t3hju9KaUFKlzzS0fEt+iRAeTqNNzItjTlPPUXxjz8SlphI4sSJ\nAMhyXbAAACAASURBVPiHtFWcCHBzAW9ESiqzH3+cfe+/T2hSEpkL+m3O1aPU5OXxzW23tQbe0x98\nsFUiqi8p33W8aou5vh6LQw2WIeedS9GmTdQfOcKoyy8nKqMveq2iBygdHR+kT8Z3zGb3xvi7m0+I\nycxk1KWXkjF3LsExWvJBTNYIJv3xZmKGDWf0764gfswYt+3HjRrF6Q8+yMTrriOiJcXLQ757Anfs\nN1VWtgYnaBsoQCv2+PXX+fz5z39n8+ZjNDdbnbJrs1lpqq6m2cknEfOYDDRtT0g6ZQqhCccFbiPT\nM5j79NOc/9ZbjPj1r1sLXTpL++vSUFJCxb59GEu7X3Khr4XS0fE9+qQHlZNTy8CBnikF0R2BYWEM\nv+gihpx3nsdqRPUlVqsVPy9OhIQmJRKamISx5BgiBpJPPbXN+zt3lvPII98DR9mw4Vuef34eo0bF\ndWvT0thI3qov2fuvd4nLymL8NdcQ3kNAj83KYtJLy7DUNxCRnk5IbNtzBHcx9OgqtQUFrL33XuqL\ni4hMz+CMRx/tUo1ee4jSM/l0dHyJPglQN930FU88MZvhw7uVXeqAu3MhzgYnb861uGLbZLLy3XdH\nWbkyh0mTEvnZz4YSF9f9eJOz9isrG6mqaiIyMogBKanMfuIJ6gryCY6OIWb48DbHlpS09K6yUEpR\nXd1zBl3N4UNsWboUAGPJMWJHjGDkJZd022bS5NlO+e4OjtelKieH+uIiAGoL8qnKyWkToGqPHqX6\nwAECIiIImjoC0vUxvp8ydu24w4C/UsomIv8F/qWUequfXfvJ0icBqq7OzIEDVS4HqJ8KublV9p4L\n7NpVTkpKBGefPajXdouL63n00e/Zs6eCjIxIHn54BgMHprUmJLRn1Kj4VsWLlJRwMjJ6rlxga25u\ns93c2C+6mJ0SENF2eDAo8rhchLG0hHWLFlF3pAAA9Ze7GDn+7D71T8cnae1GK6Xm96cjOn2oxZeY\n6PrTqS/O43jDttHYdnF3ZWXPN3ln7OfmVrNnjyY2n59fy969XVZFAWD48FhefHEeN9wQyuOPzyY1\ntWf9n6hBg8m6+JeAEJmeQcaZXZYGc8l3d3G0HT9yFFNuu53kqacy9e57iB1xXNm/qaq6NTgB5K/5\nzms+6fQPIqIvHDjB6ZMA9cCiUxia0vfrbU4UBg2K5JRTNNX0+PgQpk5N9ojdsLC2HeTw8J4XSmdk\nRJGZGeN0TamgyEjGXHklF7z9NnOfecan1ooFRkQw9IILmLV4MUPOOYcAB/X74JhoIgYerzuVPH0G\nLma06/ggInJYRO4Ske1AvYgsEpFcEakVkV0icqHDsQYReVJEykQkFzi/na1vRORq++sHROQth/cy\nRMRmr+SLiFwpIgft5zkoIpf2zSc+uekTLb4V591PZEY6Mx95xK3Cgu2xms2UZmdTuGEDA8aNJXnq\nqS5ne/kaVVWNlJc3ERERSFKSZ0R16+tNfPVVAf/732FmzEjj/POHEhXlfk2rkw3HOaj4USMZGH2E\nIlO9rsV3AiMih4EqtHLjFfb/19uFXH+JVthwqH37OuBmNPkdI5ri9ywgwD4H9Q2aUvsbdl27oS1C\ntPb5qkNomnvBQDEwWSmVa1fsjlVK7e3Dj35S0idzUDaLmercXBpKy9wOUJUH9lO+axfhKan4h4by\n7T33AIrcTz5m5uLFpEw9tUcbvkxMTAgxMZ4V0g0PD2LhwmGc9//ZO+/wOKrrf79nV733astylbvl\nim1McSO00MKXX0I1hICpBgwBDAETIJhiOhhCNyWQmAABU9zADWzcBO5VLrKa1Xvbvb8/ZlZarVbS\n7molrcW+z8PDzsydO2d25Tlz7z3nc87ph5+fd7bDlrBeTetx5vp6fnrqWfrMuaGbrfLiBl5QSmXr\nnz+17FRK/UdE5gETgC+B/wOet7QVkSfQHJQrmIARIpKllMpDE0j10kG6bN7NLzSsVeWC1rCsJ5Rk\nZrLqzrvY+vLLrJl3v14+vGnkV5V/wiWbPGUNqrP7d9Y5eZLtXdW32WymtsI53T8vHkuW5YOIXC0i\n20SkWESKgWFAjH44CThmdd4RVy6mlKoC/h9wE5AjIl+KSFo7p3lxgC5xUKNvvoWpCxe2Gj3WHjXF\nRTRUNxUJNPr4Nla69QsJIWqgU8V9vXhpgY+/P2PnzO1uM7y4BwUgIiloJdhvVkpFKqUigZ001SjK\nQSv9YKGtBdRKwDrSq9lCsVJquVLqLCAB2Au80aE78AJ00RRf2qWXunSeJaclOCGB4IREKnNzEIMR\nROgzfQYGXx9AMJscUzxorf/OwFO1+Lq7787uvyN9Rw0bQfmRrW60xks3EwyYgQI9mOEawFpe5t/A\n7SKyFG0N6t42+soA/ioivYEytFLuAIhIHDARWAHUABVoU35eOkiXOKiOYtHGKz92jIDISE7s3Mmu\nDz9oPJ4wbmw3Wuelp+Die44Xz8I6j2m3iCwENqA5jMXAOqu2bwADgV+AUuAZYGorfa0QkU+AX4ET\naFVhf68fNgB3Ae/p52SgTfd56SBdEsVnMLhWvysjY63dN+KyrCy2vPACJQcPMPSKK+l3zjn4uqD0\n2Vr/7qAz+3ak/9rSUgp378ZUV0dUWhrB8Y4Hp3S37d3Vd1ycidxcb0VdL148hZNiBGVLWK9enPrI\nfEzVetVVJ0th9HTMJhP7P/+cHe+9C0D8uHFMfuBB/MOd10MsK6vl4MESRKB//0hCQ50rOnkyoZTX\nL3nx4kk4PILS53A3A1lKqQtEJBL4BG1h8TBafflS2/M6MoLy4hp15eUsv+VmyrMag5k4d/H7Tgep\n1NQ0sHjxTj7+WEvnmDVrOH/845AeG7IeG2smL2+LdwTlxYuH4EwU3xxgl9X2fcAKpVQasAq4352G\nAdQUF5OfkUHBrl2YTvJ6CCUltfzvf/t56KF1rFuXRW1tQ/snuYhPUBC9Tju9cTt25Cj8Q9uXLbKl\nrKyW//53b+P2p5/uo6ysY79DXl4l+/YVUlBQ1X5jJ6gtK6XOqq6UK3TybLcXL16cxKG5MRHpBZwL\nPI62GAhwIU1Jbe8BP2AV2dJR6srL+WzBA8gm7e19wl/vpd/ZZ7ure6Br10J27DjB889vAWDduixe\nemkGw4bFUFZWS15eFcHBvg7LC9nr3xqD0cigP/yBmKFDaaitJXrIEIen94oPHuTn1UsZM2EaAb36\nMXRoNBkZWp7ZsGHRBAW5Pp169Ggp9923htzcrQwYMJH5809t954rKmrJzCzDYIC+fSMICvJtdlwp\nRd7WrWx+9ll8g4MJunAap53Xtpq6Fy9eTg4cfdo8B9wDWD/l4vWMaZRSuXqopduoKS4iZ9PPJKG9\n+e/9z3/odfpp+AW5RwaoqzlxovmIoayslpKSGhYtymD58sOEhPjy9NNnkpbWdv0lRwmMiiL51FOd\nOqckM5NVd9zBkcocij/4nGnPPcfcuRP46adsjEbhlFOSCApyfQ1q9+5CcnO1kh4HDhRz8GBxCwdV\nlZ9HZf4JAiIj8Y9N4L//3c+77+4A4KabRnPxxQPw8WmaYqzMzWXtgw9iqtWSbLM+LWbS9Itcqgfm\nHUF58eJZtOugROQ8IE8plSEiZ7bR1O4/7yVLlnDo0FskJGg5cCEhYQwYMLLx7d+S+W+7PajXEAbE\nDeBA/gEA+g8bho9/ANu2raE8K4uUwDiCExM5VnMCg9HYbn/2ttPTT3OqfUe2R40aQUSEPyUlv5KU\nFEpqajjHjpWzfPl3AFRUpLF06SGqq3d1iT32tqvy8jhSmaP/corCPXuoTStjwAD39B8a6o+Ww6gR\nHOzX7Hh5djYfzb2Ryrwc+ob3ZuzTr/L++5+hpbKk8eGHO4mPP0ZYmH9j/7/u3EBWXSGJaC8upro6\ntmWsZfzEmQ7Zt2TJKxw4sJ2EhD4EBSkGDIhl+vTpePHipftpN0hCRP4BXAk0AIFAKPAZMA44Uxdd\nTAC+V0oNsT2/I0ESpYcPc3T1avzDwkiePJng+HiK9u1jxW23Ya6vQ8TAtBdeILad0u6ewvHj5ZSW\n1hITE0hcXDAHDhQze/YyzGbtN7j++pFcfvnQbrOv5NBBVt4+p7Es/NSFzxI/erTb+i8trWXlysOs\nX3+cmTNTOf303s2m7I7/+CNrH3ygcXvCY8/w9PsF7N1bDMDYsfE88sipzUZxZpOJrNWr2fDkk/gE\nBJA+ezam+jr6zJjh9Gg7OtrMiRPeIAkvXjyFdkdQSql5wDwAETkDmKuUukpEngJmoSWsXQN84W7j\nMkuOkX7NNc32VebmYq6v020zU56V5bKD6up8nOTk0GY1lvr2DefRR6fwySd7GDQokunTHS9V4Q7b\nlVIU7dlD4e5dhPbqTfTw4Ux7/nl+XrOUMeOmNquf5A7Cw/255JI0UlPzGDOmX4vjfmHNCyT6qxru\nv38iK1cexWg0MH16SospRoPRSK8zzuCMiAhyNm3iq5eeIK7GSFjvFKedq3jdkhcvHkVHEogWAP/W\n66UcAS5zj0ltE5yYiNE/AFNtDQajD2Epvds/yUMxGg1MmpTMhAkJGI1dH7pdcvAgK++8E3OdFpl3\n+j+eIGniROIrxhA7cmSnXddgsO8JogYNZMqjj3F01Srix4whZsRw/MPCufbaEW33ZzRSfvw4ez75\nmAaqgFBMNc4Lv3odlBcvnoVHK0nYQylF8f79VBw/TnB8PJFpaRi64eHuLJW5uZjq6giKi3NpAb8z\nyPn5Z1bf1yQ/NuK6PzPsyiu70SLXKTt2jHUPPUTZkcMkTZzIuDvvIig21qk+vHlQv130ek9XKqW8\nytMexEknwSAiRA0aRNSgQd1tisMU7NzJ6nvvpb6qklE3zmbABRfgG+je2k/tkZ1dQVFRNdHRgSQm\napFzwUlJBMbEUF1QgMHo06mjps4mrHdvpj7zDHXl5VoEoAuqGV5+83jjOD0Mj67D7kptn6NHy1i2\nLJMffzxOaWnbSaVdUZfIbDLx61tvNgYe/PL6a1Tm5LR1qlP9O8KRI6XcccdKbr99JXfdtYqjRzXB\nj7BevZj6zEJOe+xxZrz8MjHDhzndtyt0Vv+B0dFklhxz2TkZDN7nU2cgIifdi7C76Mn3LiK+7bfq\nGB7toJwlP7+SBx9cy4IFG3nwwbUsW5bZ3SYhIgRERDZuG3z9MPh2+u/ajAMHSigoqAYgL6+KgwdL\nGo+FpaSQPHkyUWlpGAyeP1XqDo4fL2fVqiP8/HN2M2WMni7pKCIzROR7ESkUkRIR+UFExlsd/0BE\nvrNz3jcisthqe6aIrBORKhHJEpG3RSTK6vg7IrJcRG7VS7DXiIh/e9fXz00VkWUiUi0imSJyo37O\nP63a+IjIfBE5pLfbLiLtlkIWkbH6vZSKSLmIbLBz/QtEZLeIVOjXHWB1LEJE3heRI/q97xGRu2zO\nb+3eA0Tkn/p9F4rIiyLyuIjstzn/j3qBRcv9LxSRNpWwRWSQiCzV76lcRP4nIv31Y6EiUikif7Q5\nJ1FE6kVkmqPfqYiYReQ2EflQRErQ1OE7FY/+J+lslFppaS1ZWeWN22vXHucPfxiEwWDfD3dFXSIx\nGBg+axYNNTVUnTjBqBtvJNTFwo32+neE8PDmkW8REW2vgfXkelAnTlTxt7+t4/BhbRR5662jueQS\nrfjpSbCU2VFCgFfQykH4AncC34rIAKVUMZoizNcikqCUygXQU0hmAGfr29OAz9ES968GIoGngP8C\nZ1pdawJa3aQL0BLZ6h24Pnrf1cAU/ZwngNGA9YP8TSAd+AtwQL/W6yJSr5R6x96Ni8gwYLXe/5lo\n5TXG0PwlPQmYDfwJrTzHO8BbNCnm+APb0cpylACnAq+JSKFS6r127v15tPIcVwD7gGuBm9FKd1hs\nnAUsBG4D1qMVU3wZrQJw83DmpnMCgOV6n6ehFWNciPa9DlFKlYvI58BVwMdWp14FZCulVunbjn6n\nDwEPAw/SBQMcj3ZQzhIVFcCgQZHs26f9rc+c2afROZWV1bJ5cy6ZmSWcckoSw4bFIF0UthWWksKU\nRx7B3NCATxevPQEMHRrDAw9MYsOG40yenMzgwVHtn9RDKS2tbXROAD/8cIwLLxyA0Wjs8SMopdTn\n1tsiMhu4FM35/Aut4F4e2kN0od7sSiBHKbVS3/4b8IJS6lWrfq4FDovISKXUr/puE1rQQbXVJdu8\nvojMBEYAA5RSmXqbK2lewr0v2sN1iFJqn777iIgMBm5Hcyr2uA/Yr5SyjgI6ZNPGT7e5SL/WU8BH\nIuKnlKrTlXOesmp/REQmAJejOXcLze5dHwHdAMxWSi3V28wTkamAtXTMw8D9SqmPrPq/DVgtIrfb\nE+NG+62i0cS6i/Xr/RFNwPuPwAdoI50vRSROKZWvn3cl8L7e3pnv9DPr376z8egpPmfXKqKjg3jo\noVN55JEpPPPMVKZNS2k8tnlzLo899hMffribuXO/59Chki5Zg7Jg8PV1q3NyxvagIF+mT+/DAw9M\nZurUPgQGtj3F6K7vpTIvj7KsrBZCv135vdsSEeFP//4RjdvTpqXoIf6qx4+g9Omz90Vkv4iUoo0i\nwtBLnSstpPcDtIeVhSv1fRbGA3dYTSeVo5VRV2jF/yzstnFO7V4fGAIUWJyTblMx1vIjMBZtlLDZ\nxoZ5QP82bn8MsLKN46CNKIqst/Vrxen2i4jcp0/BndCvO5uWpeJt730A2ohxo027nywfRCRG7+dZ\nm/v6Bu27HYB9hgK7rEag6E5oLzBM37UcbaR2uX6tMfoxyxSdM9/pplbs6BR63DtjUlKIXQFS63WX\n+nozpaV1tDLz95ugpkZTUw8I6Jw/gcLdu1l9773UVZQz+qab6f/733tEeH1MTBCPPHIqe/cWERzs\nx5AhTaPJnu6ggKVAPtrU0jGgDm0qyXoOeDFwj4iMRHuBHYH2Jm7BgJac/76d/nOtPle6eP32IlUM\neptJaFOB1nQ0yqWulf4sT4q70crC34E2TVmOJp59rs159u5d2rHPco3b0YS3bcmys88hlFJmEfkQ\nbUr2ef3/m6xGS858p/burdPwCAdVWVmH0Who8bB051rFpElJLFmyl/p6M6mpYSQlhZCQ0H1rId3Z\n/759hbz44lbMZsWcOWNbCNR21Haz2cQvb75JXYW2Hrht0avEjx1LRL9+bum/LRzpOykplKSk5uVH\nRHq2gxItiGEIcJdSarm+rxf66MCCUmqXiGxFe4gJsEUptceqyWZgmFLKdnrMHdffBcSKSF+rKb5I\nYJB+XYAt+v/7KKW+dsKELUBHRRZPA761Xm8SEUfyXQ6gOb9JgPV3OdHyQSmVLyLHgMFKqbedsGkn\ncKOIRFlNTcYDacDTVu3eA+aKSDraC8cjVsdc/U47nW51UEoptm3L5+WXtxAW5s+cOWPp2zei/RNd\nYOjQGF55ZSalpbUkJ4eSkHByqqJ3lNLSGh599CeOH9dqJz3yyI+88spMIiPdN7oRhACrUG+Dj6/H\nVz0W6fFRfMVo0zx/EZFDaAvvTwL2CnMtpqm+2+M2xx4CvhORhXq7cjQHcilwi1KqtdyOdq+vlFoh\nIr8CH4jIHLTggsf0/yu9zUEReQd4Q0TuRZsmC0abpopRSlk/lK15CtggIh+hra8Vo037HVNK2U69\nWWO9UL0XuFI00ezjaE58AlBk57xGlFJVIvI68JiI5KMFNFyDNj2XZ9X0AeBNPULuC/2+hwJnK6Vm\nt9L9R2i/ySci8le00dAzaCPUf1vZsFNEMoC30apSfGx1rK3vNFYpZb3u1qV06yRXTk4FDzywhsOH\ny/j11xO88so26upMjcfduVZhMAgDBkQydmxCo3PKyFhLRUVdh4vw2cNTc4kaGhQVFfWN2xUVdTQ0\nmJq16ajtWuTiNSROOIWw1L5MeezRZpGL3bkG1RpGY8+WOtLXly5FW1P4Be1B9RxgLynvI7SF90i0\n4Anrfn4ApqFN/a3R+1qIFrVWTys4cf2LgAq97/8BX6M90K21q/6inzsPbQSxAs1ZtDqqU0rtQIve\ni0GbQtuGNj1nau0cy6lWnx+lKRLwRyACeKGd8y38FfgS+BBtLSoSeBer+1JKfYAmGXee3uZnNOfT\n6vSeUqoGmAnU6rZ9j/ZbnKOUsq2K+h4wClhqvWal09p3etD6cg7eq9voondGRfMXEQ2TSVFb2/T3\nUVFR16js3RVkZZXz6qurqKxs4K67xjF2bEKXXbu7iIoK4O67x/PII+tRCu65ZwLR0W2mWbhEWEof\npvxdi1z0PQlqePn49PwkXaXUWrSQbWs+s9OuEC2kurV+1gNntXH8Wlevr5Q6AvzOsi0iIWih5out\n2ii0UcIzrdnQyvU3t2a3UuoRmk97We7TaLVdRvP1OAsPW7Vp7d5r0QIqGkdCIrISzflat/sfmmN2\nGKXUfuB8B9q9CLzYyrF2v1OlVJdPgneRFt847DmoujoTK1YcZuHCzQQG+vDEE6czYoRz+mmuUl3d\nwN13f8/u3YUA+PsbefvtcxplgHoyZrMiN7cCpSAxMbjVPLHfEqGhZvr3V2zdutWrxdeNiMjv0Ur7\n7Abi0R7+E4E0pdSJts71ZERkONqU4k9ozv8qtKCLsy1rcl5a0iUjKKMRTHYG0n5+RmbOTCU9PQ6j\n0UB8fNe9aStlbjZ6a2gw09nO2lMwGKRFkMDJRG1pKRU5OfgGBhLWx/ESJW3h3+p4wUsXE4Q2rdUH\nLWJsCzDlZHZOOgq4CW1K0IAWLHGR1zm1TZe8Ovv5tf7g9/U1kpQUatc5deZaRVCQH+edV09oqB++\nvgbmzZvoVgfpqWtQ3d13R/uvLS0l47XXWH7zTXw3ezb5v/7ilr7b+hv10nUopT5RSg1TSoUopeKV\nUucqpXZ1t10dRSm1Uyk1SSkVqZQKV0qdopT6srvt8nS6ZAQVEADVttH1HkDfvhG8+eZYTCZFXFyg\nd6rrJKAiO5vM774FwFRbw94lS4gbOarD/XpHUF68eB5d4qBcfTv15Fyi7uy7s/v3ZNt9goIw+Pk3\nFlkM75Pqhr4Vfn7tt/LixUvX0iVDhp7wdvpbWZ/ydMJSUjjzySdJnjKFoZdfQf/zzutwn0ajNsr3\n0v2ISC8RWSmamnh7IeDdjjvsFZFrRMRWxcKVfh4WG3X0k50udFDOP+A7Yy2kuqiI4wez2bQxi88/\n/6pZ3pU9qk6cYPt77/HDPfdw/Mf1mBtsUwvs48nrON3Zd0f7FxHiRo3itL8/ysjrryc4QUsNMJtM\nFB88yA+fLaam1J6mZuv4+akenQN1kjEPLVdpJJDYzbY4gjvs/RhIdpM9PepNukum+Pz9tSTIzh6E\nVBcVYq5vIDA62q5yQUV2NjuXruTzffFs3FIE7CU0dATTp7ceCXb8p5/Y+d67AORv28bMV18lKi2t\nk+7Ai6vkbt7MugcfJMtUTMDebEbffBP+YY4VLvSOnrofEfFVStWjCc7+7KyUUjfSYXv1HKk2oxRF\nxMdO4m2Pp0tGUD4+0FqNvqrCQor27aUyN7fFMWfWE4r27WX57JtYes01HFm1ElN9y6T2on37qPWP\nZHOGJYk6jf/+dx/19a2PoqrympRIlDJTX2VPGaYlnryO0519mxsa6BvRm5JDhzDVuUfBw2w2sefj\njzGbGkgilMPLvqMq3/GoZG8En3OIyBTRChaW6f9t00tlICJ99MJ2k23O2S8iD1ltWxe/KwbeFxEz\nmkrFn0XEJCJv621v169RLiI5IvIv0epUWfffT0SWiFYMsFJEMkTkXKvjY0XkO72PfBH5VERSaAMR\nCRGR1/X2NSKyyXKflnuwZ28rfbVaLFFEZolIvVXba0QrJnimiGwVkRp0HUHRij6u0e+xRLSiin3b\nuG6bxSU9nS4LW/P3b/kQqMzNZf3DD7Ns9mxWzplD6eHDLvVtrq8nY9FrVBWcwFxXy8YFT1KZk93S\nhrAwevcO5bErjTx6azIJCYGMGhWHr2/rCdK9zzwTv9AwAJImTiI0pc2/6R5FbW0DRUU1LaSQXEWZ\nzWStW8e311/Pt9dfz5EVKxyeMm0Lg8FIxMCmSg9+ISH4BDle2qQnrJF2FSJiRNOJ+wmtwN1oYD7N\nNf0c9fgPoamZj0HToUsANqDJASUAc6z6mwsMR5NC6o2VBJMujvojWumO89FKScxDlzESkaFo8kaW\na01FSwZeJiJthce8gyYjdDmaRNB64CsrgdjW7G2GNBVLLESTWxqFpthgef4qWn5nBmABWlHHwWil\nMGYA36KVvJiIVvrkXVqZCZOm4pIfoX13F6Lll33axj17FO1O8YmIP5oulp/efolS6hERGQW8BgSg\naXDdrEuJ2CUgAMrLm+8rzcykcNdOAKpO5JP/yy+Ep6Y2Hs/IWOvY27wIBt+mWzEYjdhTrhARNj76\nCKAwGH244prLmfC7mS3aWRM1cCAzF71KfUUFQbFxBERGttneadtdpDP7z8hYS2LiGN5661cyMvK5\n8MIBXHjhQEJCOhbqVlNSwrZXX+G4uYQkQtn8wovEjx1HcHx8h21Ou+QSAsLD+WXnBs68+hZCkxyd\n0ldeB+UcoWgadF9aTWsdtGnj6Ipei+J3erBAtXVirlLqJasmR0Qr4rdZRBKVUjnArWiVay/QtelA\nK9hn4R7d3r9bXedqNJHXs7EjLSRayfQ/oGnardB33yEip6Hp6l2vK5C3sNcOjhRLtMddSqkfrWx6\nCE1Hb65Vm7aCIhwtLumxtOuglFK1IjJVV+Q1AutF5Fvg78DDSqllInIOmrT71Nb6CQho+VLlG9Jc\nVsjRh78tBh8f0mfPZuOCJ6kpKWbs7XMI6dXyAVWZn4/lRcVsasDXVElsbPs6dI4/7HoOW7bksmLF\nEQDeems7Q4fGMHp0xxyJ0c+PwJgYKNDq0QVER2Fsbe7XQaqLCsn8bhknMjIY+Ic/kJaWRNTgwQ6f\nL+Jdg3IGpVSJiLyFNvpYhTYy+MyqtpAzOFT8TlcPvw9N2TuCppFHHzSx2THAj1bOyZbxQH/RI0EM\nUgAAIABJREFUivBZ40/zIovWDEV7WNhG9KzBqkyGg4xBKzzoLLYv/GPR6lE5ynjgFN2hW2MpLnny\nOyjQ5OL1j/76OWb9P8sqdASa/HyraMVkm4vGRg4YwKQHHuTQN9+QMGE8sSNGNDvHmRFCRL/+TF24\nEHNDA/4REXbLuYelpGDw8cXcUI9PYBDjp5zjcP/O0prtSimK9++nMjeX4MREIgcMcKn0fGevQR05\n0vzFrKGh4+s0fiEhnPLXewl65x3M9XWMuPY6AqI6Nh2et2Urv77xTwByNm1i5iuvOHV+UFDPr6Tr\nbpRSN4jI82jCq2cBj4rILUqpN9CeC9ByFGXvTaTd4nci0hut0OF7aGKuBWhTfCtoXuiwLQxoBRaf\nsGNXoYN9dDUmpVRHQ88dLS7psTjkoETEgKaJ1R94RSm1SUTupKkujACT2+ojMFALlrBecvAJDKTP\n9OmkTJvm0kPaFr/QtvXlotLSmPHyS1Tl5ROclERk/7YqRHcOxfv2sWLOHMx1tRj9A5j+wgtEDXKk\n5lnXMm5cAkOHRrNrVyHnn9+PAQPcU6crPDWVU+fPB6UQK+WOujoTRqNgNDq3LFqVn2+1paivdK7g\nZ3CwN0DCFXT5oV3A8yKyCLgBeIOmaLQkS1sRicP1MOrxaMsId1pqTenBBdY/3BbgehEJtC0zr7MZ\nGGldSt4Bdur/Px1t3Qer7a1O9GOxr6PFEi39nAW87GB7l4pLehIOPQ2UUmal1GigFzBBX/S7CZij\nlEpBW8hrswqkSOsPg9ack7vzccRgIGpQGr1OO43I/v27JZeoPCurUQXBVFtDRZZrlZw72/bk5FAe\nf/x0PvzwfGbPHu3Wgoa//LKu0Tkppdi6NY877ljJY4/9RFZWmd1zzGYTlbm5VBUUNNufOHEi/uGa\n84xLT+dwub3yRq0T5P5KIz0aEekvIgtE5FQRSRGRSWiVZndCY32i9cBfRWSkiIxFG/20Nv3WHvvR\nnNHdIpIqIhehra1Y8yras+wLEZmstztPRM7Wj/8DGCIiH4jIeP34VBF5XkRS7V1Uf6gvAV4VkbNE\nJE1EXkALwGitKGJrPAUMFJGP9Gi+fiJyqYic4mQ/jwLniMhzIjJCRAbpEX+tTVM+BFwoIgtFZJR+\n3bNF5E09tsDjcSoPSilVJiI/oC0sXq2UmqPvX6LPS7dgyZIlvPnmmyTFxlJwpJD6Kn+GTTiDyTMu\nBpoetJYpq56ybcH2+OHybHKoIJEQxGAksyybIquAh4727+p2aup49uwpZM+enzCbj5Gefhrh4f5k\nZv5MXp57v58DB35t3F6+fBnPPPMzDQ0D2bOniPLy7VxxxVBGjz69sb3ZbCamAjb84wlyfaoZ+ec/\nc+bFVwNwpDybhFuuIa33EAJjY1i66uNmASRt2SOieP/9RezevZ0UPTozLi6O6dPd8bLbY6lEW7/4\nFxCLNkX2FVoggoVr0UZT64FstHUT2+mK1oauzfYrpbbrayj3oUXmbUGLlvvGqk2uiExBm85aijad\nuB+9KrBSao9oYe+PoY2GAtCWJFYBJW3c65/RnNH7aBGC24HzbNbb2h2CK6V26Oto/0CLJjSjOfTb\n2zvXpp/looXOz0cbsdahjeZWt9L+Bz2S72G0tTMDcBT4jjaKS3oS7daDEpEYoF4pVSoigWg3twDt\nh7tZKbVaRKYDC5RS423PX7lypRozZgybnnuOTf/8kGP5kYT17ccZTz5JUHR0J9xS92AymSktrSUg\nwEhQUOtT4+aGBgr37KH82DHCUlKIGjxYjzrsPsxmxQcf7OTdd3cAMHx4DI88MsWto6bWOHSohOuv\nb5pBSU+P5emnz8Ro9Z1UZGfz9axrGkPSw1P7Mv2ll/AL7pj6fGCgmbS05n//ztaD0t/Sn0f7x/+W\nUupJm+NpaOHKY4B5Sqln9f12o2P1Y08Bv0erknoQuFYvlufFy28KR6b4EoHvRatnvxH4Tin1NZoH\nXygi29DeTG5orYP66moOfvUVVBXgG+RH6aGD1JW29eJyclFT08DSpYe44Ybv+Nvf1rU6TQVaxGHs\n8OH0O+ccYoYN63bnBFBdXc8PPxxt3N6xo4CyMvck0bZHYmIw116rBccEBvpw7bUjmzknADEaEStl\nEKO/v1vWLDvo3yxrsy+jVYAdBvxJRGxDCAuB27CZFtLXU6bqU+fpaFM3E/TDy9DWDtKxGgl48fJb\no10HpZTarpQao5RKV0qNVEo9ru9fr5Qap5Qardc52dZaH76BgaT94Q+YKisIDoaoocPwj2h/0d2T\nNeGsOXKklOef30xRUQ25uVVs2pRz0tgOEBjoy5lnNiUgp6bmER7eeVPU1rYHBvpy6aWDePvtc3jj\njbPtVlQOjo/ntEcfIzghkfB+/Rl31134trJ45Mz3EhTU4QCJCWj5LUd0mZ6P0ZIhG1FKFSiltqAl\nhmJzzDY6Vun7VyilLNFwG9DWfr14+c3RJVp8AEP+9CeiBg8m/4QPtWGDCYzqSdN72oPu4osHYjbD\n5s15mEwljBql3PKm7y7qyso4sWM7lbl5xIwYQZSuvmAwCBdeOJC0tEhqakw0NOwhIqLrkoMCA31J\nTW1bNy9h7FjOWrQIMRrxs8mfcw2lpz50iGTgmNV2FprTcgh70bF2ml2H5vi8ePnN0WUOKiAykj7T\nphFZBocOOTatdbLo2aWmhnP77WM4erScL77Q8oe2bDEwblxZuw9eVxk1agqFu3dTuGcPYb17Ez1s\nGL7tPHGzN25kwxP/AMA3OISZr7xMWIomlBse7s8pp1gigTtXzsnV790/vP3v0tG+fX1xh4PqEPoo\nabSIhAGfi8hQ6+qxIvIA2vrvR/bOv+mmm9TBgwdJ0BXdg4ODGTBgAOnp6QBkZGQAdOr2gQMHuPTS\nS7vsem1tL1mypMvvv7Vty+fu/D66+/dZsmQJtn+fixYtcuqNvd0giY5iCZKw0NAAO3caUMpzRhbu\noK7OxIIFG/jhh6YX6pdfnsHQoTEOna/MZipyc8CsCE5IsKvGbk3xgQMsv+UWzPVaLt8ZTz1N4rhx\nbZ6z6dlnOfhVU5Xpac8/75ZqtCcjkZFm+vRp+bfvTJCEiEwE5iulzta37wOUbaCEfuxhoNwSJGHn\n+N+ASqsgilnAX4BplvwfW2z/bXUHCxYs4L777utWGyx4bfFcOwDmzJnD4sWLnXrwd3mNcx8fCA11\nzCmeTOs4fn5GLrpoIP7+2uhw1KhikpIcm4pSSpGzcSPfzLqWr2fNImvNGszmtgVat/y8stE5AZQe\naj8Xr9eUKVgS6UN7pxAcG2e33cn0vbvad1iYW17MNgEDRFPw9gP+iB1dNysa/3GKSIyIhOufA9FE\nSffo22ejhW1f0Jpz8hSOHj3afqMuwmtLSzzFDlfpsik+a8LCFGU9MGh25Mg4XnvtLKqqGigszHB4\nHae2pITNzz2HuUFLTdj4zNNEDxvWpohqYHQ0/hGR1JYUY/DxIXrYsHavEzd6NDNffpna0lJCU1II\nTjwZ6sG5H4NB0Y7oiEMopUwicita1J0lzHy3iNyoHVb/1JW2N6OJrJpFZA6azlsi8J6+DmUAPtGj\nYwFeQgs/X66vYW5QSt3ccYu9eDm56CYHBSKq3Wm+k2UNypo+fSzrJI4nexp8fPAJCYECTSXGLySk\n3Sm+U393KWWDx1N+/DiB0dFEDBzQ7nWMvr5EDx3abruT8Xt3pu/QUEU7X6/DKKW+BdJs9r1u9TkP\nTTvOlu1ouVH2+mxNGcDjuPzyy7vbhEa8trTEU+wAGDXK+eWEbnFQfn6a7FFFhWA2Kw4eLKakpJbk\n5NBWp8Xy8irZu7cIf38jgwdHd2oYdFfjFxrKpHnz2PrSS5jq60i/+TYCHUhiDuvTh7A+rVcD9mIf\nN03veQGmTJnS3SY04rWlJZ5iBzQFTzhDl69BWbA8JHbuLOCWW1Zw772rue++1WRnNyniW9YTSktr\neeqpjcyfv57771/D//53ALPZbLdfZ/CEtRAL4f36k/jn+9ic+CfufOIgu3YVtNnek2zvrv7NZhNm\nm8rJ7fUtoggLc8vl9f7kbBHZIyL7RKRFKQRdw+1H0Sqy3mW1319ENopWKXa7HkRhORYpIstEZK9o\nVWA7JxTUDaxbt667TWjEa0tLPMUOV+lGB6U9LDZtyqGhQXM2WVnlZGe3VKMuLa1h27Ym1epVq45Q\nVeVZUlJ1FRUcX7+eXR99SOGuXTgbHZmfX8Wd96xlxffZ5ORU8swzP1NR4bzavjsq1AKUl9eyZUsu\nGzdmU1RkTyC6eyk7dowNjz3GyjvvJP+XXxw+LyRE0cESVI10opLEfcAKpVQaml6cV0nCy2+Sbpni\nA61IXGCgalbGwc/PQERE09SdZT0hLMyfoUOj2LWrCIApU5IJCur4U8adayF5W7eyfr72Emzw83e6\nLhGA0ShYBgQGg4G2cnxtba+vquLo99+T+d23JE2cRL9zzyXAAbUOW3JzK6mq6sd//rOXDz7QUnJm\nzOjDnDljCQ7uWEXd1my3h1KKhupqfAIDWyQ7m80mdrzzNkd/+AGA1fffx9lvvElocnK7fYeHu3V6\nr1FJAkBELEoSe6zuowAoEJHzbU9uTUlC7+MM/fN7aAKjnhErbIMnTSF5bWmJp9jhKt3moEB7WIwe\nHc8jj5xKZmYp48Yl0L9/y4dqREQA8+ZNZvfuQgICjAwdGo3B0G2DP7sUHzjQ+NlcV0tNcbFT58fH\nBzF//hSefvpnAgKM3H33eKccQtHevWxa+AwABTt2EJaSooeVO05ZWS3PP7+Z6OgAtmzJa9y/YsUR\nZs0a7jYH1R51ZWUc/OYbjixfTvKUKQy88MLm1ZZNZipPNE2BmmpqMNe1P9oUcU/0nhWdpSQRpwdX\nWJS67ecDePHSw+nWp3xoKISG+nHaab25+urhDB0a0+xt2Xo9ISkphOnT+3Dqqb2IjHSPBIA711oS\nxo9vjLwLSUwis+RYO2c0R0SYMCGR118/i5dfnsngwW0HSdja3lBV1Wy7rty2unX7VFXVs2lTLrt3\n/8TQoU3XHzo02q3Oqb3vvXDvXn55/TVKDh1k5+L3KNi1q9lxg68vo66/HqNeq33k9dcTpGert9V3\nUJDC34Nia2zqrJ0iIq2FWHpsVIcnrXF4bWmJp9jhKt06ggoK0qb5qqtPflWJ2GHDmPHyK9SUFBOa\n3IuDJ1wrYhkV5Zrzjejfn+ihwyjctZOQ5F7EOJAXZUtoqB/Tp6ewYsUe0tMDuPXWMQQEGElPj+vS\nqMmGmua17WydL0DcqFGc/cabmOvqCEpIaFfmCdw+vQdaTSFrXahe+j6n0OusfY9WZ20XkCci8Uqp\nPBFJAPLtnWeptWapZRUeHs6IESMap3UsD6fO3N6+fXuXXq+t7e3bt3fr9T1xuzt/n0WLFrF9e8dq\nrXW51JEtJ07A8eOdV3KiMieHQ8uWUZ2fz4ALLyBqUFr7J3kg9dXVVBcU4OPvR1Cc/QTe6qJCagqL\n8A8PJyjOtVmhgoIq9u0rxmiEtLToLhWNtVCZm8vGp54kPyODyAEDmfzww4Qmu1oxXMNgUAwZYm43\nQMJJqSMjsBct6S0H+Bn4k1Jqt522DwMVSqmF+rbdOmtKqa9F5EmgSCn1pB4ZGKmUarEG5QlSR168\nOIqztdagm0dQAJGRkJenaGhw/yhKKcWujz/m4Jea+kzWunWc9dprhJxkCgr1VVXsXbKEHe++g394\nBGc8ucCuow2Miu6wSnxMTBAxMd1bBz04IYHJDz1MbUkJfmFhBEZFdbjPyEj3Re9Z6EQliSeBf4vI\ndcAR4DL3Wu7Fy8lBt0ca+PhoDw97dHSNSNXXU2IVvFBXXkZDdVPIdHv9m0xmKirqMJudH2W6c32r\nPCuLHe++A0BtaQm7Pvyox+dBBUREEJ6a6rRzst+3avVvrKMopb5VSqUppQYqpRbo+15XSv1T/5yn\nlOqtlIpQSkUppVKUUhWt1VnTzylSSs3Q+z1LKeWx1T09aY3Da0tLPMUOV+l2BwUQEaHojHVgg58f\nQ6+4HDFoU4j9z/89QbEtC+LZo6Cgitde28atty7ns8/2UVnpfE6SuzD4+jbeA4CfA2UnuhKzWVFW\nVktdXdsCt91FUJDCLSWkvHjx0qV0+xqUhQMHhIoK9/tLs8lEaWYmptpaQnv3wj/MsYf78uWHeeKJ\nDY3bCxdOZfTo1sVbOxOzyUT2hg38+tZbhCQnk37jjYT18owiq3V1Jn744SiLF++kX79wbrwxneTk\n5rHcSikKd+8me8MGwlNTSRg71qHaTu6id28TDihHAa7Nk3cX3jUoLycTJ+UalIXoaEVFhcKqIoFb\nMBiNRA5oX0jVmro6E4WFzdUTamvdo9DgCgajkV6nnkpcejo+vr4Y/LomH8kRDh8uYcGCjQBkZ1eQ\nmhrGddc1F4Uszczk+7lzMdVq0XkT759H6syZXWKfj4/ChXxlh9FLYzxP0xrUkzbH04B30IRh51nV\ne+oFLAbiATPwhlLqRf3YKOA1IACoB25WSm3uvLvw4sUz8YgpPoDwcFosYnfXWkhRUQ1KQUqKNhIY\nNy6BXr2cy/DsDNv9goMbnZOnrEHV1zcfgVdUtHTkdaWljc4J4Of137puXDvY2h4dbcbYSUGiHZE6\nAhqAu5RSw4BJwC1W5z4FPKznSD1s51yPwZPWOLy2tMRT7HAVj3FQBgNERXVcANYd+Psb+fbbQ6Sn\nxzNr1nAGD45yOT+pp9OnTxhXXDEE0NQwfv/7/i3aBCcmEt63H6CVFokdMaJLbBPp3NETVlJHSql6\nwCJ11IhSqkAptQXNIVnvz1VKZeifK4DdaMoUoI2oLHOgEbiQW+XFS0+g3TUoEfEH1qAVUPMBliil\nHtGP3QbcjPaPb2lHczVqa2HPHs8oB3/oUAmffrqXgAAfLrpoIL17u1ECu4dRXV1PcXEN/v4+REfb\nd+SVubmUHz+OX1gYkf37I10gVRUWZqZfP+fWWJ3Mg/oD8Dul1A369pXABKXU7XbatlryXURS0fT2\nhiulKvSR1Hdo890CTFZKtZAm8a5BeTmZ6JQ1KKVUrYhMVUpV6YmJ60XkGyAI+D0wQinVoCcedgh/\nfy3kvKioYw6qqqCAmsJC/MLCXM556tcvgnvuOaVDdvxWCAz0JTCw7SSj4IQEgnU5InvU1DQQEODO\nJVFFbKzHKgQ1IiIhwBJgjj6SArhJ3/5cRC4F3kYrCe/Fy28Kh54Iragu34SW+d6gt2m7gJGDxMYq\niou1arsZGWudVhyvzM1l/WOPUbRrJ4HRMZz51FOE9+1rt60r/TtKZ/bd2f13pe0lJTUsXXqQtWuz\nmD49ld/9LpWwMNdllSx9h4a6XRjWHh2SOhIRHzTn9L5S6gurQ9copeYAKKWWiMhb9s73FKmjm266\nqcuu19b2okWLuvz+W9u2Xvvpbqmj7vp9ukzqyI7q8v0isg34Ak0/rBq4x16kke00RO6WLWR+9x2R\nAweSMnUqQTEtB15ZWUJBgcGlB2X2Tz+x5oF5jdtjbrudQRdfbLft1q2rSQmIoezoMUJ79SJ68OB2\nS607iic6KLPZzI4dBWzbls/AgZGkp8fZLVvSlbb/+ONxHnywKbDhqafOYNw415U+MjLW0jc8iaCi\nn4lKDCFp4kSnkn27SupI37cYKFBK3WXTdida5N5qEZmO9iI43rZPT5jiW7dunceUdPDa4rl2QCeG\nmSulzMBoEQkDPhORYfq5kUqpiSIyHvg30K+tfgr37OGziy6ivlIrSjj9hRcYdtVVLdrFxiqKipRL\nD0lfm4zMgOjWH04pAbGsvP12lNmEiIHpL77oksiqPTrzAe9q//v3FzN37veYTNpLyYIFpzNhQlLj\n8fqqKnI2bKB6w08cLW4g8ZRT8A1yv+yRte3V1c2j/qqqOhbO3y+mL9senYvh0HKUycS0555j+DXX\ndKjP1uig1NEo4Apgu/6yp9DC0L8FbgBe0B1gjb7tkXjKww+8ttjDU+xwFaeGC7rq8g9oo6ZjwH/1\n/ZtExCwi0UqpQutzrKchyo8d41BlJQlAXyBv2zaK9ek322Fiv36nkZ8vjWHDlodae9vHak4QedXF\n+O/OImH8eHINVRRZvbFbt6/KzeW4WVORSVKhVObmklVf5NT1TqbtoqIaTCZLLb00srLK8fOzOr5n\nN0se+6v2faxYwdRnFpJjqOxU+5TaQ1LScbKzkxk6NJr6+t1kZBx2ub9tm1dx7MQ2UkyaqsWy//6X\nkv79O20aQncoaTb7Xrf6nAf0tnPqesBuALxSaj0wzmEjvHjpoTgSxWdXdRltvj1ZKfWwiAwCliul\n+tiebz0NUZ6VxVdXX82JjAwMPj5cuGQJvU8/3e516+rgX/9az6hR9o+3h1KqRSVWW9Z8+S/yXl2M\nqbYGg68fM158kai05iKsJSU17NlTiNkMgwZFOiyk6olTfMeOlTF37vcUFFTj72/k2WenMWRIk8TC\n0VWr+PGxR8mmnCRCmfzg30iZNs3dprNt2xr6BMZRtH8/oclJGJIHUl5pJiLCv8Ph/Ds3/w/DB09z\n4tdfATjvgw/of+65Dp/vVZJwDk+aQvLa4rl2QOdN8dlVXRYRX+BtEdkO1AJXt9dRaK9enPfee5Qc\nPEhAVFSb02l+fhaNPtdozzlp9iQz/IUXqMzNITghgciBg5odr6sz8ckne/jkE23UMWNGH+64YyxB\nQZ6j5OAMvXuH8eyzU8nJqSQ6OpB+/ZonCUX0709QbBycKCcoNo6IAS1zmtxBRU4OK196ojF594yn\nnqbfuI4PGEQU8anhjH/3XQr37CEwKorYkSM73K8XL166B4/R4rNHfT3s3WvolFIcjlBUVM1f/vId\nxcXag9RgED744HwSEoK7xZ6uoDw7m5rCQgKjowlJSmr/BBfI3riRNfc3pcyN+ssNDPnTn1q0M9XX\nU7xvH9WFBYSl9CE8NbXNfqOizKSkuP73/Ouv+TQ0ZDn1ltcZUkf6cbfmGHrx0t24MoLyGCUJe/j6\nQkxM96lLBAf7MmlSU0TZ2LHxBAd7jHxhpxCalETsiBGd5pwAQhIT8NclHgxGH2KGD7fbrmDHDlbc\ndhvr589n1V13Unb0aKt9iiji4lx3TpWV9cyd+71T53SW1JGInElTjuEI4Bnn7saLl56BRzuodevW\nERsL/v6dM8prT3PO39+Ha64ZzsMPT+aBByZx553jCQ11LEfHE2oqeWLfAIeKjjL92eeY8uhjTH/p\nJaKHDrXbTltH0n772pISKvPyWu0zLs5MQIDr2mNms5naWqfLhXSW1FGn5Bh2Bp6k9ea1pSWeYoer\nePxwwGiEpCQzmZkG3K107gixscGccUYw9VVV1JYUU1NUS4AbKrz2BPLyKtm/vxhfX2Hw4BjCwx1P\nsA1LTSWsnSm76CFDGj/7BgXbzZkDCAhQuFjhvpHQUH8WLpyKls7kMMlo0awWstCcllPoUkfpwEZ9\n1yDgdBH5B23kGHrx0tPxaAdliT4JD4eoKOckkEqPHOHQ11/jExBA6llnEZqc3KKNo1FwtWWl7Hz/\nA/Z9uoSw3ilMefTvhKW0CFh0qW9X6cz+09NPo6KijurqeiIiAvD1bR4NbTKZ2b79BB9+uIstW7RR\nzVVXDeWqq4bh49O+dLijtseOGMHUhc9SlZ9PeL9+rSiCKJKSmhTLOxKxNH58Ilu3OuWgOkwrUkcO\n5Rh6gpKENd2tJGHZ5wlKEtZqEu7o78jRo9zz0KOUVteTNqAfc2+cxTF9yttTf58uU5LoCO5ayK2r\ng/37DdTXt++kaoqLWXXHHZQd037ApImTmPzQQ/gEBLh07fxffmHVnXc0bg+7+hpGzJrlUl8nA1lZ\nZSxcuIkDB0q4/PIhXHjhwGaKEwcOFPPjj8d5990djfsSEoJZtOgsp0ZR7qCjgRG2OKkkMRGYr5Q6\nW9++Dy1B90k7bVuIxepSR18B3yilXrDa/zXwpFJqtb59ADjFNsfQGyTx2+DI0aNc98AzMOmPGP0C\nMdVVw08f8/bjd9MnJaX9DjyEHhckYf0G4OcHiYlmHCkN31BTQ3lWVuN2ycGDNFRXt2jn6FqLwbf5\nQNMnsP1cnZN5DerDDz/nl19OUFlZzxtv/EpmZkmz4zU1DRw/XsHgwU1TnaeemkxQkGMDcnfZ7uur\nSExs/vfQxXPum4ABItJHRPyAPwL/a6O97T/Ot4Fd1s5J53NgGoCeY+hr65w8BU9a4+iptix8/d1G\n5wRo/5/0R21/F9rRHXTJFN+mhQupLi5m6OWXE9PKgrgjREVBcbGivLxtJxwQGcmQK69k1/uLARh6\n5ZX4hbteLiO8bz/G3XEnuz/+mKi0tFaTi3sKtqNqs00gZa9eoYhohRwnT04mMTGY9PT4FlOBnWwl\niYnmFkUuu5JOlDp6BydzDL30XAoqahudkwWjXyCFFbXdZFHX0SVTfOtmzAAgJDmZy5Ytc7kEBkB1\ntTbVZza37aTqKiooPXwYg9FIeN++Lk/vWTCbTdRXVGD0D8DHv2unsbqaY8fKePrpnzlwoIQrrhjC\nxRcPbJGcXFZWS35+FUFBviQlhbTSU+fhSq0nR/AqSXjxNG5/4O/sTJ7RzEmZ6qoZdnwFLz7+UDda\n5hydJhbrLiqOH28UinWVwECIjzeTk9N2VJ9fSAixreTXuILBYMQ/LLz9hj2A3r3DeOyx06ipaSAi\nIoCavGyObjyAX3gY0YMH4xsUTFiYf4fKYnQEg0GRlOT5tZ68eHEHc2+cxXUPPIPJZg1q7uN3d7dp\nnU6XrkGNuvFGgpyIB169eg27dxeyffsJKivrGvfHxUFwcNMDqiInh+JDB6krL3fKnpM5l6izbQ8L\n8ycuLpj64gLW3H8/Pz76d364+26y1q13S/+uo0hI0HKe7NHVc+4icraI7BGRfSJyr53jaSLyo4jU\niMhdVvt7icgqEdkpIttFxF4V3rm6CLPH5jV40hpHT7WlT0oKbz9+N8OOryB2+xKGHV/r8Wb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@interact\n", "def visualize_charge_sum(radius=(0.1, 10)):\n", " plt.subplot(121)\n", " zoom_in(radius * 2)\n", " ax = plt.gca()\n", " ax.add_artist(plt.Circle(center, radius, alpha=0.2))\n", " plt.subplot(222)\n", " total_charge = sum_charges(x, y, charges, radius)\n", " plt.plot(radius, total_charge, 'o')\n", " plt.xlabel('radius')\n", " plt.title('total charge')\n", " plt.xlim(0.1, 10)\n", " plt.subplot(224)\n", " plt.plot(radius, total_charge / np.pi / radius**2, 'o')\n", " plt.xlabel('radius')\n", " plt.title('average charge over\\nsurface of circle')\n", " plt.xlim(0.1, 10)\n", " plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can produce a data animation using this code." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "FRAMES = 50\n", "MAX_DIAMETER = 50\n", "\n", "fig = plt.figure(tight_layout=True)\n", "ax_main = plt.subplot(121)\n", "ax_top = plt.subplot(222)\n", "ax_bot = plt.subplot(224)\n", "\n", "def init():\n", " ax_main.scatter(x.ravel(), y.ravel(), c=charges.ravel())\n", " ax_top.set_xlim(0, MAX_DIAMETER/2)\n", " ax_bot.set_xlim(0, MAX_DIAMETER/2)\n", " ax_top.set_title('total charge')\n", " ax_bot.set_title('average charge over\\nsurface of circle')\n", " ax_main.add_artist(plt.Circle(center, 0.1, alpha=0.2))\n", " \n", "# animation function. This is called sequentially\n", "def animate(i):\n", " diameter = np.linspace(0.1, MAX_DIAMETER, num=FRAMES)[i]\n", " radius = diameter / 2\n", " ax_main.set_xlim(center[0] - diameter / 2,\n", " center[0] + diameter / 2)\n", " ax_main.set_ylim(center[1] - diameter / 2,\n", " center[1] + diameter / 2)\n", " ax_main.artists[0].remove()\n", " artist = ax_main.add_artist(plt.Circle(center, radius, alpha=0.2))\n", " \n", " total_charge = sum_charges(x, y, charges, radius)\n", " ax_top.plot(radius, total_charge, 'ok')\n", " ax_bot.plot(radius, total_charge / np.pi / radius**2, 'or')\n", " \n", "# call the animator.\n", "anim = animation.FuncAnimation(fig, animate, init_func=init,\n", " frames=FRAMES, interval=100)\n", "\n", "# call our new function to display the animation\n", "display_animation(anim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The takeaway from this animation is the following. Given a lattice dimension (1 unit here), there's a scale at which the lattice, with its randomness, is filtered in an averaged behaviour, with different properties. In particular, even if locally the total charge is not zero, it is on a larger scale as well as on average. Below, I annotate the previous two right hand side plots to highlight this phenomenon." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AQ8ByIcRhIMfZHpCqQR45+2o7eP9wM3qN4NazUr0qOQY8/g9ggF7LzWclA/DC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\nGwjlnaelpfHb3/6WESNGMH/+fP785z8zZswYhg4dyvXXX19c1sKFCxk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ZBYBHgfFAL2CS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\n/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "radius = np.linspace(0.1, 50)\n", "total_charge = [sum_charges(x, y, charges, r) for r in radius]\n", "average_charge = np.array(total_charge) / (np.pi * radius **2)\n", "plt.subplot(211)\n", "plt.plot(radius, total_charge)\n", "plt.xlabel('radius')\n", "plt.title('total charge in circle')\n", "plt.subplot(212)\n", "plt.plot(radius, average_charge)\n", "plt.xlabel('radius')\n", "plt.title('average charge over\\nsurface of circle')\n", "plt.annotate('average oscillates = local scale', (5, 0.125))\n", "plt.annotate('average is stable = global scale', (30, 0.125))\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As one can see, the total charge still fluctuates while the average is already stable. If we zoom out further, we reach a point at which both the total charge and the average get stable.\n", "\n", "Let's redo our whole experiment, only with a bigger lattice using the same lattice distance." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x_lattice_coords = np.arange(0, 1000, 1.)\n", "y_lattice_coords = np.arange(0, 800, 1.)\n", "\n", "x, y = np.meshgrid(x_lattice_coords, y_lattice_coords)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "center = (500, 400)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x += np.random.normal(size=x.shape)\n", "y += np.random.normal(size=y.shape)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": true }, "outputs": [], "source": [ "charges = np.where(np.random.random(size=x.shape) > 0.5, 1, -1)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "518" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sum(charges)" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YTDhfnpkBwMOrSvH4nO10M9QZY1i5vxYY3PXNoLWlKjjoOFRu4trEWalgsGJX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "radius = np.linspace(0.1, 2000)\n", "total_charge = [sum_charges(x, y, charges, r) for r in radius]\n", "average_charge = np.array(total_charge) / (np.pi * radius **2)\n", "plt.subplot(211)\n", "plt.plot(radius, total_charge)\n", "plt.xlabel('radius')\n", "plt.title('total charge in circle')\n", "plt.subplot(212)\n", "plt.plot(radius, average_charge)\n", "plt.xlabel('radius')\n", "plt.title('average charge over\\nsurface of circle')\n", "plt.annotate('average oscillates = local scale', (5, 0.125))\n", "plt.annotate('average is stable = global scale', (30, 0.125))\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It turns out that my lattice is biased: its total sum of charges is not zero!" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "518" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sum(charges)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's conclude this exploration here. We've shown how a local fluctuation (left side of plots) becomes negligible while we zoom out (right side of plot), in particular when seen as an averaged property.\n", "\n", "This local and global behaviour is often encountered in physics, not just in plasmas. In the next section, I mention two other relevant areas." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# There's more to this behaviour... " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It turns out that this basic principle is also what is at the core of [piezoelectricity](https://en.wikipedia.org/wiki/Piezoelectricity), a phenomenon I frequently encounter in my work on ultrasonic testing. To borrow an illustration of a 1d model of piezoelectricity:\n", "\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from IPython.display import Image" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NssY+feGyyy4rA4zqNUy6yNnNiWFgrEmW0arOI64mCBaLlJlnOlu/CQcpHyNU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BI8HSc5I4Nt9xUPYyAQDAiO899LT9F4xMlh3IouiClMcGcBCMeM0YOQN7F7QlKMpabM7XP8fo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\n", "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='files/piezo.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, the assymetry comes from the difference in stiffness, not charge, of the atoms. But integrated over longer distances, this property emerges at a larger scale and gives rise to piezoelectricity." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another area with a similar phenomenon is magnetism. As explained in the following video, magnetism is a quantum property that propagates in certain solids until the macroscopic scale where it has some real effects as in compasses, magnets..." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from IPython.display import YouTubeVideo" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "YouTubeVideo('hFAOXdXZ5TM')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }