{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Függvény illesztés

\n", "\n", "Ebben a notebookban bemutatjuk, hogyan kell az illesztési feladatokat elvégezni." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "figsize(6,6) #Képméret megváltoztatása" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Függvény illesztés adatokra\n", "\n", "Az adatainkra is ugyanolyan függvényt kell illeszteni, mint amit fentebb megismertünk. \n", "A függvények illesztéséhez a **`curve_fit`** eljárást használjuk, a **`scipy`** csomagból, mely a Gnuplot-hoz hasonló elven keresi meg a paraméterek ideális értékét." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "adat=loadtxt(\"sinusadatok.dat\")\n", "x=adat[:,0]\n", "y=adat[:,1]\n", "z=adat[:,2]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "from scipy.optimize import curve_fit\n", "figsize(10,10)\n", "\n", "def func(x, a,b,c,d):\n", " return a*cos((d*(x+c)))+b\n", "\n", "parameter, covariance_matrix = curve_fit(func, x, z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Az illesztett paraméterek:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-1.21224409 2.60067796 1.22001586 1.00095743]\n" ] } ], "source": [ "print(parameter)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A kovariancia mátrix diagonális elemei megegyeznek a hiba négyzetével, tehát az illesztési hiba így számolandó:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.00795894 0.00558654 0.01376697 0.0013635 ]\n" ] } ], "source": [ "print(sqrt(diag(covariance_matrix)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kicsit \"szofisztikáltabban\" így lehet leríni:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Amplitúdó: -1.21224408966 +/- 0.00795893637343\n", "y eltolás: 2.6006779641 +/- 0.00558654343834\n", "x eltolás: 1.22001586347 +/- 0.0137669722977\n", "Fázisnyújtás: 1.000957427 +/- 0.00136350325803\n" ] } ], "source": [ "print(\"Amplitúdó:\",parameter[0], \"+/-\", sqrt(diag(covariance_matrix)[0]))\n", "print(\"y eltolás:\",parameter[1], \"+/-\", sqrt(diag(covariance_matrix)[1]))\n", "print(\"x eltolás:\",parameter[2], \"+/-\", sqrt(diag(covariance_matrix)[2]))\n", "print(\"Fázisnyújtás:\",parameter[3], \"+/-\", sqrt(diag(covariance_matrix)[3]))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7/eviyYNPBrUBKJ+tXpdrxgEn9JEGra0o+33wm0c0ZZoR1qEovwh3bxVFgg+H\nAbkf3aLZN8wqAihrRepuvPBC4BLRcHDnZ+L1aqIpK5OEMgtjVi1Zxq27gORW7VhtAvDs+I7f9RPe\naFIfbz6ueQbFbPxh7Dd4bYx4/g911TdqmmqCizMgiC5i5tJY/9V6oUL55P1NSD3wjXCfP1+oXRfK\n3NejXitG3TWa44C/ThavvenjWjC9NmMAufmJ3sA16GqNcq3w6FRRoQ8kDCnnS92Nkj6a39sN9FNl\ne+rvH01ZmSSUWZhA9cn06AUjAHguD2jUehI1Ez5QTJnsGf4idpbB1fuBgfUdv0fiYiGshZFLY9Eb\ni6RW5YId4j3eyQV2Zfl+VkIAZIU0Ae2cNlubK6f4ygeoGXEK+FYQSj0DQ3lteUQHMhMWxe1GrEer\nORxNBv51tu9nteIS6P0ew2KMrc033QSkaeOOnW3AbaUdv+vvH01ZmSSUWZhA2khOao4/IPmc48BF\nkhZ+T0qy9NUT3miy3zn8TsNn2DgcKE/VjsVywLWz4/pIXCyEtTBaHzLLsrMF+N4X4rn69cHB4RUc\n9OKcNlubsdk5qLwoTxj/0Y4Y4Z4LpizwJ/AwML91r7y2HHPWzkHGsgwSzogewTR7kXNpAkzJeYBH\nNW0VhaG8ttxQeUmKSzLsPlNRW+FrSzZ3rnDsR9sAcPn+YZaVGWmQUGZhgqqW3I7MSvZ5FvDZIO0Y\nA9NcZzTZp2dNN3wG7tC6RBUKdgA5KdkoGF+Awo2FEZ+6TPQunbHG3rQHSNEW6kddPPDy2cbXxLAY\nww3A6LOV9TX4xz8Xjt26JxbnJA7T3HPFzBUou6cMOak5grsVCJxkQBDBEDB78bPPgNJS4bqnJ2p/\nVyy5gE+BUQQzpZ6lMq+NKgX4182ddwrHJlQCMxoGGQpbQZfesDkklFmYYKol1zTVwOEF/ktcT/j7\nJECvzHBwoeZL4cZCFOUXSSe70TPIhLK848ATg3+E4h3FUZG6TPQuRflFhtq6nh98Lo6tn5iMM/HG\n13u513ADMPpsDo5FbyzCmIoHcEpb7gxxTc3YnblUWlbALIknUrPMiPARMHvxmWeEaz4aCuwZ0PG7\n2pKrwMGRk5rjr2epzOuA7sZx44CpYob/upi5EStsBQsJZRYmmGrJ2anZuLRCbBzb4gDcogcFOak5\nUq3JyFViVCNtfzrwwTDx/kdXLIua1GWid3HluaTWJT2D64D8A+L47N+vh3eJN7BW38nPrm6qxr6m\nQ/iHZP3GLb1kAAAgAElEQVThuef8PxolC8iIxCwzInyYZi96PMA//ykc01vJjOa77N5BuRu//33x\nZmvWiIWdowwSyixOIJNtUX4RXLtjhev2Ts5Bc6pcUzEKUjZylSiaj7qgJgAUTxCf96rt9dIsM2Xh\nRktVZiI8GAlUam7eLXnRjRgBXHopgK4HEQf67GKJNRnvvANUVQHoXCIPJc4Q3cFo/qQ503xdJ44d\n04w3xwAvntvxe05qTqeVl4DuxptvBmK0cZaoqAA2b0Y0Q0KZzXGdcyu+/5XoXsz7n4cNNRUzrduo\nHpOsNMcb45PQqptBQ+uBC4+I981OzY6qqsxEeJAJVHGOOI0C8d3dkgtvu83f4UKv1WclZAUVRGzW\n/gwAtgwFynQJMfB4gJdfBhC89YsSZ4juUpRf5I/7UlPfUo99T4i1+94cCdS2N7KIj4lHUX5Rz2dA\nZmYC+fni+Jo1XbtfhEBCmd3ZtAmJJ+u0YwkJwPXXG2oqgbRu/WZhpNEfi2vGhhHi9d/TbYJmFjpy\nbRLdQeYmefrGp1H1QBVyUnMwsB64VCb7fO97wn2UtbJm6pqg4lpkn62xJjPgn+dKLnzxRQDG6zDd\nmR4VWWZEeJFlRLa1tqD/+reF8RfGdvzcN76vf/6pW46pY5u7zOzZ4tgLL/iUlyiFhDK78/zz4tiM\nGUKPSjWBNHz9ZmGk0Xu4R7rp3Lzbl4WpbCpKNqZR7AzFyxDdwUj5KMovwq374oSXXF3OQCAvz7B3\n34bKDV3+7OXXLtesrRfHite0bXwLAx5gaGhpkLYjW37t8qjIMiPCh5Hi+61yYEC9Nt7kTAzwqqpA\neHVTNRauWyh4S2qaavBhxYeaa43CUwzDVm66CYiL0z7UsWM+l2qUQkKZnfF4gFdeEcdvvRWA8UJQ\nNHx9jBggN0ebWdb+dTbQpktCy6kFyi55Ed4lXswYNQMrt640DWameBkiFLjyXHjw2ChhPOW22+He\n9Zxh775H9j1i6lI3i4tU1pbCJ0MkNf28wA17fJsd5xzpznSyihEhxej9q/dqAMC/zwLqE7VjK7eu\nFLwcHBwrt67UCF6y8BRFoJOGrfTrB1x7rfAMf/zZ5cEJdREICWV25pNPgBMntGOJicB11wWM33Ll\nuVD1QBVWz1qtcZUoVq1p707zT36zmIGaJODt4ZID//wn3KVurNy60jRDjuJliJBx4gQGbtsjjn/3\nu6ZB9s3eZkPLQjBxka48V0dQtIELc9aXvv+3eluRHJ8sLZMRDRsQERrUcyhjWYb8JA5pW6UXJNZd\no3c4B/evFaPwlFXbVpmHrdx0k3Df6/cA5aeCEOoiEBLK7Myrr4pj06cDffoEjN9SFu3ctb7KyiWz\nSlCUXyStMRaIl8ZKaj29/joKNxaaCmRkGSB6Cqkgs24d4NWlAg8fDkycGNBlbnQ82LhIdYiATCib\ndhBIaun4LLUrde7auVGzARE9j15xMOqdPOEYMEwXjtzmYFg3unOfp7QnM7LGGVX3V7oDZO6+XWhL\ndtZJ4JwT5kLdnLVz/CEHkbQ+SCizMxKhbB573bQYpbIByDSPRW8s6lIg/r/GSASvL79E7EFjl2UM\ni0FFbQUKNxZG1IIiwo/RfC5/7gnx5JtuAhgL6DI3Om5a70mFK8+FgvEFYGDYMgSo7KM9P9HTUTuN\ng/sFMeV3NZQMQ3SGYEutfEdiJXsvF4jrL4a1BMJM+ZZlfQId3QFO9AE+ktS8vKH9+YyEOoVIU1xI\nKLMrX38N7BYDAl4bDdO+ZNmp2YbavpFGVVFbIY0/UzieDGwZIo7POdTf8BoP95AlgOgRZPO5takR\n/d/9RDh3w7m+YBmzZJcER4KhS91IWJONr/9qPTg4uANYJ4a24bp9HT8HKoJLyTBEsAQ7V76zTxx7\nZbRvHspKX+QPzw+6g4b6unmT5wn303cHeGWM/kq5a9WISFJcSCizK6+9Jgx9Mhg41tf3s7ovmYIS\nv9XZF3x2ajaWX7sccY44w3Nel5i87zo2xDTLUyGSFhQRfmTz+dIKsddlbQJw8zePwl3qFjpVqHv3\nLR692NCl3plaTernkq2P6/YBQTQkAEDJMETwpDnTAp4zqA44/xtx/LXRvqxKWY3LDd/fgJJZJf5x\nMxgY0p3pcMY6sXLrSjhjnZqEFr0S8oqkB+2Fh4Gs+oBfxU8wnTHsAAlldkUilL2q0zaUvmT6zC6z\n+kgyIaqhxdfD6ekbnzasySSzBAzatg9PTVuuucYIsgQQXUU2n2d+JZ735kigztvkVwCUchZ8Cdf0\n7pueNd3ws4JqHyN5rrdG+lqfqRncAEw8Gvj7UTIMESzuUjfqmuukx5Ljk/0/y9bHFwOAg2m+eWtU\nZkY9bvQ+z0nNQcmsEjS1NfkyjNvj2pramlAyqwRl95RJ2/Z9qctHcAC4Zn/w393ITWo3SCizI6dP\nA++/LwzrhbKc1BzD+k0ybX/5tculpTKU9ksADGsybR8EHOmre6CWFtx6NF1zjdFCDka7IwgZsvl8\nncQ1owQwd1UBkCXHmNURUz9XQwKwKVc8R/acAPyWCEqGITpD4cZCtHpbpce83Ot/t8+UzLvXRpu7\n7vWYWY0DJcQU5RcJNfrWjRGtb50RygLFntkFEsrsyLvvAq3ahXckhaE0q+N3M+3aTNt35bk0GpWC\nzMWouQ9jeHeseB3WrdP8WpRfJHWD1rfUU1wZ0SX0rsiR1cAYXXikF8AbZ/l+7oorcOG6hZ3OitSv\ns4/GizGWMyQWC8XSoFjuSCAjgiVQCz0ASHE4Me2gePzTSVmmrns9ZvtIMAkxXNd4/D+jRHHkygOA\nQ9JLWUYwfXDtAAllduQ//xGGzlxxKXL6Bd+aRWaeViwBnam8r77PbT8TN6jDa5+B43870pZdeS6k\nJIjdBlo8LRRXRnQZZR6unrUaV30tHv9kCHAiuWuuQKN6e8HEQqrXx//+/lPh+PnfAP2aOn5nYCSI\nEV0mkMJR01SDF3N+IsRbIjUVL/3xsKnrXkZnW/kp4zKL3rtDPWiM11rL0puAyarYtzhHHBZMWdCz\nPTgtBglldkQilI28dUG3WrOoywoYEdDCcMUVQGysZmjoSQ9G1mjTlmuaaqSXU1wZ0V1ceS7MKI8X\nxv99li/mpCuuQLN6e52asyNHAiO0zWJjODRWCwroJ7pDoBZ6ac40XHVAEqQveXf39HOoBSfZummJ\nBd7OEdfZrUdSNX1tV8xcEXRcpx0hocxuHDoEfPmlOD69cxqOnkC1beIccWhoaTCvMt63LzB1qvho\n7fWYFMtCZ8oKEIQed6kbGcsywJYysKUMGcsyOuajx4OrKsTN5f0xCSi+qbhLykqPtgi78kpxqN2y\nx8AiRtsnegezFnqAL0zkxCvPiQck87InnsNIcDJaN5+OE13899eONU04iDTLMgllduOtt8SxSZOA\nAQO6dVszjT/dmQ7GmD+TxjSeRiIcKkKZ8jmdKStAEGoWrluIOWvnaGrqVTdV445X7vDNx23bEF+v\nVS4aEhh+eNdfu2w9NqJLQtRVVwlDV6qKyEbS5kL0DkoLPZlglni6Bf13SgIZJfNST2fbf5kJTkZ7\nwOTbfy7eaMsW4NSpgM8XKZBQZjdkQlkQCyoQRppLTmoOkuOT0eLRBiHI4mncpW7MqPyjcI9pBzuC\nNZV060g2PxOhQYntkuGPSdywQTiWfOVM3DapIOC9FevbFe9egYxlGdIOFwoMDPOnzO98r8pp04SW\nMiNPAiNqIidQmbAGsjCRKw4CsfrA+dxcn2vdhGB6vurPN1sTRnvA9dfd73seNR4P8PbbAb5t5EBC\nmZ3wekMmlJlZr4LJpFEW7VsZdajThfT0P+ML1lRbwyLZ/EyEhkC9VCtqK6RCWSDXvrvUjdv/dbtg\nfTPqcAH4ymGsmLmi05sV+vXDyXHiBjizLI4sxUSPIlO0rzwgOfHKKwFmXgw22J6vgFyAm7t2rr9P\n5cJ1C/2lZRpaGpDmTOtoubfrOeDqq8UHeOcdw2frrAXP6pBQZie2bweqdRtFUhJw8cXdnph6zSUr\nIStgsVn1uLJo22Lk9ZimH4DUGhZpC4oIHYGC6kc7hwIffigeCCCUmdV2kpGTmuOfx53ZrBQybvgv\nYWzx6QmkmBA9ikzRlgb5BxFPFmzPV0C+JhRlqry2HE9sfULTLF0fFvP+WZLOMZs2ST+/00qRDSCh\nzE5s3CiOXXYZ3Pv+aaqZBDtB1darNVPXBCw2q9bs1cHQG7QJZgCA6yoSpAJZpC0oInSYBdXHx8Tj\n8dTbgBZdrv/AgcC555retzMZlPp535nNyo/Esp39+QGfJZwgegi9on2xZwhGVesszYwB06YFvFdn\nkrO6k0Xf2NqIe5r+JR7YtQs4cUIYNlKKFr2xqMvP0NuQUGYn3n1XHMvPD6iZdFfQCRQD5i51a3qh\nyYSy88tacfaybI1FrCtWBiJ6MUr3T45PxlM3PIX8ryVCzfTpAV0zgTIozWIfja5Nc6YZW4AvvBBw\nOrUXVFcDu3ebPgdBdIep+88IY9Xn5iK3ZLJ/nm6olLj/0bmer93Not/uPSJVpN5/9tfCmJEAWN1U\nbVvlnoQyu+DxAB98II5ffnlAzaQnBB2zGDB9rM+XA8SWS3FtXgzbdUhjEetMkVqCkCkHq2etRv3P\n6n3zUWJJvt/zhqlr3F3q9vd2lZHuTDeNfZRtVnGOONS31BtbgOPjgYsvFj/MwEVDEF1B74kY+6UY\nI1mcdkgzTx/Z94hmnSgJMHPWzkFjayMczCcymCVnBaqVFojs1GzsPW+IML77xSeENWwmANpVuSeh\nzC58/jlQp2s0m5ICTJgQlGYSSkFHuDcD3h4unvctlQzW2Npo2ECW6pURRhgqB3V1vjWi4/mBxmVc\nlE3LKKDf0f56NBLq1NZeZS7npOYgJSElcLbyZZeJHyizhBNEF9F7Ir4t0YE3DGvT/N7sbfbPU1kC\njJd7ER8Tj6L8IsMYSH3bM7UXJRCK9e3RxO3CsW993SYIWmbJMXZV7kkoswuSF/a6rDqwh2NR1Vgl\nNHfVE0pBR3bv9yTZ/d/SrREP91C9MqJn+OgjISZrf3/gSGrH73rByKxgcrozHbExsYa1+fQdMJS5\nXJRfFFzHCplQ9t57cO9cTYkvRI+gnm+D64CzTmqPexjwoWRbUK4zSoBp8bRg0RuLApa8KLunDHwJ\nR8msEo11O394vl+JYWBIjk8WwgNeGlAlfO65VcCZI+XC5xgVyrWrck9CmV2QCGXvtgs+p1tPw+P1\n+CenXjNhYCivLQ/ZS15mrv50ZKJw3tTDQLxKMUt3plO9MqJneO89Yeh9iWKgXgdGmrSyUZhZu8zi\nIYMKir7gAiAhQXvC8eP4w1M/osQXokdQzzeZlWz3kHjUia9p/3Vmlqbqpuqg56naul2UX4SPD38M\nD/cA8MU+e7kXJbNKNJbvPoNzsDNTvNcV5Uz4nOXXLo8o5Z6EMjvg9QLvvy8Mv5vb8bOHe5Acn6zR\nTADfBtOTQf8yZLE+P7n9b0CmdlU524Apquay9S31AED1yohuc/zfLwljMmst0LEOjOJeElhCwKxK\ns+NBBUUnJkpbkl2gC8amxBeiq6jn4WVl4vHYy6dJ18CMUTMAdM7SFOw8DTa5qyi/CB+MFNulXXaA\nC3tYpBUjD5lQxhhLZIx9whjbwRj7gjG2VHLO5YyxWsbY5+3/PRSq57E1paXASa3tuSEO+GyQ9jRl\no1A0k5zUHKHYpnoB9GSNMCHW57w5wLe+JZyn1tj8VdgJohus+fRppO7cJ4xvHiGpd9ROY2sjmtqa\npMfO8DNIc6ZJjykblZk1LOhN4vLLhesvk1g07BobQ/Qu6nkos5Sdc/NdKBgvdrr4+/a/w13qRlF+\nEeIcxmtIT3ltuWn8Ze5juUEnd7nyXBh7638L511eJhfiIqkYeSgtZc0ApnHOxwOYAOAaxpioGgLv\nc84ntP/3qxA+j32RuGY+Gga06eLk1RuFWSPlitqK8NQI+/a3xSHdI9GGQ3SXl4t/hgSPduybZOBE\nVl/T1kVebl4XzMzaZWQNmzFqhr9aOQDBLaNBEld2WRmgb1pg19gYovdx5blQdtsnOFcM0QIuvRQv\nfPGCMNziacFdr90FV54LT9/4tCZmK92ZbhjDBSCo+EsZsjl+2dxfCmNnVwPppyN73wiZUMZ9KLnm\nce3/GfdIIfzoLVgVr5YI57ybq/1dyYhRrjdrpJydmh2eGmESS9klFUCMagOlDYfoLqN3Vwpj7+UA\nNWdOouyeMsNNxCj7F/D1DTSzdsmsYQXjC1C8ozh4RWfqVF95DBWDG4BRqmRQO8fGEBZBEvqCceOA\njAzDzOPTrafhLnX7m5vzJRx8CUfVA1XSGC49geIv1RjO8bQ07B0oWuouPhTZ+4botO1BGGMxALYB\nOAvA45zzLZLTLmaM7QRwBMBizvkXBveaB2AeAGRlZWFTiGv6NDQ0hPwzZGyo3IBH9j2CZm8zAKD8\nVDkSPxY1jK0jkgD4JnpKbAp+fNaP8eXuLzFw3UBUNoublEKCIwFzBs3Bb/b8Rnq8orYCmzZt6pnv\n7/Hg0j59EHv6tH8opQUYXwl8NrjjWXrj3zkQvfX3twJ2++75h+IBaIPy388BMhMy8Yvnf4FTTaeE\na2JZLGYOnIlXjr4ivWdmQiaGVA/BMxOe6RishubfZQi0x2dvni1VdO5fdz+GVIt1lwBgwpgx6Fda\nqhmbeTQFyzPqkZmQiTuH34kh1UPC+vew29+/p7Hj999QuQFPHnwSx5uP++fN9Cxfe7GznnsOQ3Xn\nHxk5El8F+I5G83YIhuDekff6P8+oH62yl5hZtbISskzneJ+x44Bj2vIY3z4cg/NuDM2+YYW/PeM8\n9MYrxlg/AC8D+DHnfJdqPAWAl3PewBibAWA553xUoPtNmTKFb926NXQPDN/L93JJzEeo0fvdR1YD\n+/+sOykxETh1SpO9pVjHzDQSAFg9azVceS5D/35Oag7K7inr0vdX6jZV1FYgOzXbV8vmweeA9es1\n5917NfDyNTmmtW56m976+1sBW333tja0piQjrqlZM3zBjxOx6EdPonBjoXSepzvTUfVAFRauW4iV\nW1dqNpYERwL+fuPfOz03HUsd0g2KgcG7xMBVWlgI/EanIP3wh8CTT3bqs3sSW/39Q4Ddvr/s3Z8U\nl9Rh2Z00ydc3Wc3zzwO33IKMZcbWMtN5qyLQXhLouCnPPgsUaOPejk8cjczP9gZ8rq4Qyr89Y2wb\n53xKoPPCkn3JOT8F4B0A1+jG6xQXJ+d8PYA4xlhGOJ7Jqui1iosPSU6aMkVIpw9kIga0jZQ70zYj\nGIxi1LaPShbOfdR5o38xUk0molts3y4IZKeSHFj0Q9+GZKSlK7XEVsxcIdRRWjx6cZeUhWD7A6rD\nE24//jfxgo8/7vRnE9GLUShKwcsFeH7L34EdO8SLLr0UgK+chBHBuggD7SXd2msuuUQYytxdDjQ3\nS06ODEKZfTmg3UIGxpgTwJUA9ujOGciYrzEdY+yC9ueRi+1Rgn4hSIUySYuWQIGP+kXQ02nERi+G\nX3NJlfKPP4Z752pqRk50H0nrsX75M+Ea7wu0D0ZQ0mduKW6fzhLM5qNXXl5NE5ssY/duIduaIIww\nevd7uAfP/O1usdF9Tg4weDAA39xfMGWBUNtSmbfBZOgH2ku6tdeMGAFkZWnHmpuBbds0Qz1ZSaC3\nCaWlbBCAd9rjxT4F8Bbn/HXG2HzG2Pz2c74LYBdjbAeAPwGYzcPhT7UwM0bN0CyQiw5LTpIIZWZa\nTQyLQcH4AmER9GQasdGLYX1KpRDMjMpKLHm6gJqRE92m/M3nxUGVdt3TFmEzgtl89MpLTRKwR5aH\nsHlzjz8fEZmYvfsnHpRYlC66SPOrzFq86jurACBoxTnQXtLlvYYxqbVMrYyFpZJAGAll9uVOzvlE\nzvl5nPNxSrkLzvlKzvnK9p//wjkfyzkfzzmfyjn/KFTPYwfcpW4U7yj2x6X0PQPkyWL2dYsKMG8C\n6+EeFO8oDukkNXoxJPdN98U06LigQh6rYJY2TRBq3KVuODZ/Ioy/ldnRYDzchSUDbT4y5eWjYZIb\nfRTVr0KiE5i9+6fKlPr2/UNtXSrcWIii/CK8fdnb/nkblgz9INg2QtJ24MMP/T9a5Tl7CqrobyH0\nk+vCI5I/0MiRQqV8QGwCqyfUk9So0GB9Sz2+HNVPGJe+LGBepoAg1PzppZ9iWK3WsN7qAH58olgz\nZoXCksoGKEsEIKGM6A7Ku194d3IDT8tFFxlalzZUbvCfFqirRThwl7pxX4PYrePM++8A7U41Kzxn\nT0JCmYUIJsj/pf7HAvYY08cHGN2/J3HluZCSkCKMt3ha8GeHmCkrfVkA/p5oBGGGu9SNoV8eEcZ3\nZAF7mw5ZKrYkUPHM7TJLwJYtQFubOE4QElx5LsybPE/z7h9ZAwzQ534lJgLjxxtal5482JH1G2zi\nSlcINgascGMhPs5oRpOueFfiyXpg376QP2dvQEKZhdBPooskQtlbWacD+st7a5IqGW16Xk8Ty0lP\nOAYktornmlVgJ6IP2ctbEXJk1tbN7QWZrBRbYpYZnZOag/tuXwX001mTT58Gdu2SXkMQetylbjz5\n2ZMaS6xU8Z0yBYiPN1TQjzcf9/8cqnjMzsSAVdRWoDUW+ERS5u8n/3uJvx0UNSQnQoJ6cjGvfFF9\nNCywK7K3JqmR0OfIzkFjZn/NWJxX25wc0HYlIAijl/f81+ejsbVRqrR8rHMFWiG2xMhCxsB87tTx\nc6Vxor94OL/XBUrCHix6YxFavVotV7Y+lHlm9K7OTOgIjQlVPGZnYsCU5/xQ4uIfsb8ac9fOxYcV\nH1JDciI0qBfB2BNAqi5xpi4e+KJ9zZi5IsMd3KxgJgwmfTtfOF9v6egb39e2C4noeYxe3g0tDYhr\nE4V6oMNSpqY3Y0vcpW7DcALNxigRys7eV2MJSx9hfWQFYI3iyQDjd/Wdw+/UjIUiHrMzMWDKc26R\nrOsLD/ss4iu3rgSAXo8b7SlIKLMYyiIonfBX4diWoYC3/S8WyBXZG8HNpsKgZNPRa3JG7k8iOjET\npsZXAom68MPjfYAD/cVz1Wsl3PWMCjcWGrahaWhp8D/HcsenwvGLDlvD0kfYjz7NwHmyzP2pUwEY\nv6u7WqOvM6Q504IeV57zm7NF/+V5lb4QGA4eUWskpL0viW7wiZjq/3G7tmBlf7krzyUXAGVC2WH4\nWtS3GxLsGphJhIbs1GxD15/MNXNsbA6S4k8I7WaUtaJvR6O4QwGETGkxEywV60Z5bTl+0VyOH0Or\nJY88CaQ1AhWwZxYZET7Snekaa9n53wAxel0gJwcYNMj/q+xd3Zt9H0+eOQnHUkdHiz5V8VlXngvf\nPBaLwac6NLFYDkw8Cnycbd9MSxlkKbMqn4qa8ydDYSt/udoqMfrD2fDEaXWAQQ1ATnuvaCsLmkTv\nYFRmBZCXVDnvxrtM3fa9Uc8oWEWjIQHYPUAcP/8IKStEYJZfuxzxMR1Fus3qk/U2Rh4RL/eaBv63\nTZHUu2xPwI6kNUJCmRUxyLw6evZQSzfxVqMP0v7qdAU+zRRT/KcesZegSYQPozIrgPGmY+a27416\nRmaFPfV8Kskwu/hYnKCsRFJLGaJncOW58NQNT/kVkmnHnOJJFhHKghGgZMpS9pXfFc674EjkKfQk\nlFmR7duFfmVlqcBn3sO2CfyVWSVkQdhrchfbPjCTCB0yrTr9NDDilG7Q4fCl+5vQG6ViZLE76U5Z\nXyXg08Hi2B2t4zRrI9JayhA9h18heciDK0/0FU+wiFAWrKIiKEsXXCCcc8nR2IhT6EkosyIS16Wi\nRdsl8Fdmfdgq2XRk35UgFGQCkyzrck9WDBx/SDG1HPVWqRi99W75tculm5KsFtPQvd/4K5cDkddS\nhggBhw8Dx49rx+LjgfHje+d5dOgVFaMuLsLanzzZ1wtTRU51G1yDrg7Vo/YKJJRZkLK3XhTG1Fq0\nHYIaZZupzD2Dbdvg3lFC7hhCikyQkgllH2e1BtU02Qr1jGTPsWDKAtSOzkazfn+qrPRtsu1EWksZ\nIgRsFTuoYMIEn2BmEdSKSvFNxcEpS337AmPHijeLMMWehDKL4S51o3XLx8K4WqBxMIflBRjZZvpV\nGlCboDuxoQF/eJrcMYQcV54LBeMLNNr0+RKhTK20mFmOrNAHU/YcK2auwFeLy5Ew6XzxZFUmdqS1\nlCG6hzS+UCakBHDt9yYyJaVgfAEKNxaK+5zEhSmrVGBnSCizGMtefRCjdGE0XgDbOjKZ4eEeSwkw\nsheDstDU8TPcof0eCmMrzmh+J3cMoeAudaN4R7GmJ6rMUqZ3jdvWciTbdFSbbKS1lCG6jlF84dFN\nr4knW1goA7RKSlF+EYp3FMsVdRLKiHAzcI+YVrYnA6iX9CwGel+AMQs8duW5UPVAFVbPWu3XgvYN\nF7Ppzhf7Stt3UyV6FH0M1aA6YEi99pxWB7AzSztmW8vR+RJLWbtQ5i51+/89FMshZS5HL9L4wpZG\nOHfsFs69ao/E6mRRjOImC14uwKTt88ULtmzRxF3aHRLKLMb0mn7CmDQWS0VvCjDBBB6rtaD5C54U\n7iGzfNh2UyV6FP3cls2V0oEMzapyZra2HMmEsq1b4d5R4ld+AJ+1XPmeJJBFJ7L3/vCTQL9Gbeb+\n6Tjg7YSjlvKumGG0n3m4B6WZQJO+5H11NUbeYw+BMxhIKLMYs5tGCmOfDvY16zZKpe9NAabTgccS\nM/rEY0CsqmWOrTdVokfRz22ZUNb34st7PXi/xxgzxhfQrKauDk+teZCyLgkNsve+LN5y+0DAo0og\naWxtxJy1cywrxJjtZ20x8hCYC47AFgJnMJBQZjGG7T0qjO0bkYKnbnhKmkrf2wJMpwOPc3OBdK1w\n6WwDpjcNioxNlehR9DFUsk1n1NW3WSJ4v0eIifGl/usYslfyxUFu/mhG1vEimHhLhfLacsxdOxds\nKaMimVsAACAASURBVLOUgDZj1AzT47LSMZPbv3ckKCoklFmJI0eAb3SrKi4O/3mk0t//ywop/Wo6\nHXjMmNRa9saYX0XGpkr0KJo5z4ELjkpeWRYPYg6EPlHmi+HJwjnTZMVAQW7+aEM9Vwo3FiIhVpvO\nLhPKzMJfOHyxWIqVaUPlhp583C6x/qv1psdlQuYklS3D7ooKCWVWQpbKfN55QGJHlL9VUvrVz9Np\nQdEgboYgZPjn/O1lSD+tjZdBYqK8dpFNkCXK/ObMf4TzrqvNtJyVnAgvsrnS0NLgP868HRYjNV9k\nG2SJ6WhsbcSTB8WY33ATSKj6TOK+nHQUaJcv/YqKXduRkVBmJWSCiUyAsRidFhRllo0IKwBIhADZ\nHJkwAYiTNy23A7JEmQ+yWoTzMvYdxt+uWWEpKzkRXmRzRc3oaiBFP3X69sVPfuBTmoPhePPxwCeF\nGCPrbwyLAQNDy4hstDq1FsJ+zcCIkx2Kip3bkZFQZiU++0wcs7lrRsba5EPiYGkpcOaMOE4QChKl\n5ZnYL/ya8MJ1C22nGcusAhWpwAl9F6bmZvzuyR8AAEpmlVjCSk6El0AWJJnrEpMnwzV+LsruKcPq\nWasD9pzMTMjsxhP2DEYhMcU3FcO7xIsD95UjbpK4L15dm+FXVOzcjoyEMiuxfbs4NmlS+J8jhLhL\n3Zi75af4Rh8209oK7NzZK89E2ASJpeydjHq/JvzE1idspxlLrQIM+HKo6HKacDRyMsyIzmNkQUp3\npiMnNUeaBLM7t4//Z3WoCQAwaPtIJsUl4c7hd/bcA3cDZ6zT/3O6M120CkuSYVYMuhOuPBfcpW5/\n6Rg9dog3I6EsjJj6uI8eBY4d014QF2freBkZigZj1AeTIKRwLp0fnxpklgHW1YzV74GGlgbEx2h7\nEibFJSH90unCdUows1W/FxFajCxIy69djrJ7ynBb8yjhmt+eeUuzzyihJnwJR8msEsEdPj1LnHfh\nRHE7VjdV+8ea2prEEyXGiv+88DtkLMvAHa/cYXh/OyTGkFAWJox83IrLZeZiye4ybpylmsj2BIqm\nIgvWlFoKCQIADh4Eams1Q6fjgL0Z5pdZTTPWvweqm6rR5mmDg/lexTEsBgXjCzD2qjnCtRNVOpvV\nvhcRemSt6/wWJY8HfXbvF675MLNFKsAr3SEqaiuQnZptmSLEQbsdJULZpKNAdWM1WjxiTCZgn8QY\nEsrChNFkW7l1JcpryzFRLE8Wca5LoENT2T5QPFb18UbbxQQRYeLzz4WhHVmAN8AbzGqasew94IUX\nXu7LKvVwD4p3FOPVPmK7tYlHfRl2gPW+FxE+1Jaj6qZqzHttHl5b90cktWhbDZ1MBA72FwV4KwfB\nB12M/JxzNFUJACCjCRim1ds02CUxhoSyMGE02ZQ6MROPSQ5OnBjCJ+odFBP8domlrM+eAzhcY70X\nBWEBJFbUHYPNX19W1IyDsXA1tjZi0b4/CZX9U1qAkSet+b2I8GCk3P/nn8uEcz8fCICJAryVg+CD\nLkYeGwuMHy+cN0lm3ICvR6wdBDKAhLKwEUizlVnK3kw5rrEc2TG7TB9HB/g0lphh2ahyas91tgFn\nV3X8bpUXBWEBZJayQdpA5RgWg3RnuqVLRgRr4SqvP+Qr96HjKlWGGRF9GAn1ww5UCWOfD5QL8J1u\njRdGzIqR6/eSfTlikeXJkn3UbkoMCWVhQjbZlOyXfk3AiFPa8zljmPP17zUmZrtllxmZyQGg7N5y\nZFwiBpXqLYZWeFEQFkBiKdua6dH87uEeJMcnW6awsgzZe0BGdmq2NHwh++sqFG4stPS6J0KHkVA/\ntUrM1j00QpK1aHIPK7jE9RmiMSzGZzl+YxHueOUOzV7yWMv7wvWTjgJxjjjLK2dmkFAWBpSgysbW\nRsQwX2fYnNQczJ8yH0lxSZggcV1+PSAGVUySdaLC6pakgGZyiXtWbzG0wouC6GVOnPC1IFPRxoBd\nkpJKVhfi9R0w0p3p0uzLovwi6fqYcIzKYkQzUktSrFMa/vLHn74tFUY63RovzLjyXP5n9HCf4lXd\nJAbwb84UA/onHQVava1Ijk+2bT0/EspCjNpaBPi0eWUBrJi5Aqu+swr5J/sL123Jagvq/lbehAKa\nyWVCmerlwsAs86IgehGJ63L/wDg0Swr5O5jD8u59dQeMqgeq8NQNT8kr9RtkmIFbXyEjQoOsrd3/\nDPse+tZqC283xwDPtcmz2a3YQ1lPoO4FgE8pa9FJMIMagEF19lZcYnv7ASIdI2vRojcW+VOSXzoi\nujNk2YkyrGxJyk7Nlhbx8z+zgSUAHGCMYf6U+QCA3MdyLZe6TYQRiesyfvKFSIr7TFhbimatdpVb\nfb648lzyZzz7bCAhAWhu9g8NaASG1gGHU33fkdZG9KGfLz+YlyWcsysT+P7rP8Sc125Hdmo2Zoya\ngfVfrdfMlbJ7ysL41J0jGGNDayywd3A88g5rLWaTjgLrUjoUF7utCbKUhRijyVXdVO33j48pPy0c\nl9bx0mElk7MMo/iZhpYGnwYzahSQpD3e/wxwiWcwSmaV4JLsSyybuk2EEYmlbMS0WRptXwkLUGN7\na1JcHHDeecKw4uJnYLQ2CAz9WuxX+flAn4Ji13jkYIwNSXFJcF5wsTCuzsC0sifJCBLKQkygyeVs\nAcZUi+Of6yxlDAz5w/MtbXLWIyt2CHTU1nHvXiNNa/5g0l9s37+M6EFkRYUnTNC4AZU6X3qM2q3Y\nBgMXJgPzl9NRoLURnVxU3XlPi9XnikyhlwXwnzX9FuHa8ZUdPyv7r2k3HYtBQlmICZRtdV4lEKN9\nt6IsFTipu4SDY3/Nfv8mZJcARleeC8nxYuqy/6UgcWEuX3k73KVuS6duE2Hi9Glg715xXFcuwkj5\nYWCWfgEboWwi84/8VTh2SbVTEMgUaG1EH9+uEd+veqVehpXniizu7ekbn0bVA1Xa/U+i1I9vj0tW\nl9Kwk8eFhLIQI5tcasuRrNidkevSyovIDFPhSiKUjSirxdy1cw03HivH0RE9TGmpr++lmpwcoL82\nOaYov0hosAz4lBkrWwRkqDeRbZJ3wZWn0gXrswKtjSijrg59D4nuy51imJmA1eeK2hIuM0K4S90Y\n+95s4bqzTgLnJgzze5Ls5nEhoSwM6CfX8muX+61nsnIYsmr3AJDmTLONCVaN0eJ3MAfe6Cv+A0w8\nCkOBzOpxdEQPI4knkwnyrjxXxFiP1JtIaaav/IeGw4cRc1LsJxMfE09rI9rYsUMYqsvOgqeveS08\nu79HFcVld/Mh7BeLF+CLb6/xC3F287iQUNYLqK1nav+3gsz0HOeIQ31LvW1MsGqMXLge7oFrz2+E\nTWdoPZAh5j7YIo6O6GFk8WQG7ceUgpN6rG4R0KPeLJoNmq6fc1QsmdM3vi+tjWhDorSkXPAtFIwv\nkFqOASDdKS8qayfUissOmatWJaymOdOk9zAa721IKOslXHkulP34a1yoDx6Dr9GyPqgxJSFFKJ5n\nZROsGkUIlWXInUQTdkuKgOqLyDIw28TRET2IQZC/DKsXxQwWvRC5Q+KKkilzNU01IXoiwrIYKC3r\nv1pvaDlWNzS3K2rFReqqlVgQ7QIJZb3JgQNAo9bXfTIRcGRna4Iai/KLUN0kSdGEdU2welx5LsMM\nOVmmkH7TsUNRUKKHaWvzxZTpMbCU2aEoZjDohUvZpnOeRCizm0WQ6AFk7v0JE0z3Bbso82ao57pM\naVELZUbKilWVGBLKehOJNL9vSAKKpv/Gv5EovnMj7PQiNnrWilwxKEC/6ahr7tjFbUsExjRVfe9e\n4Iy2UjnS0oChQw3vFyg42A7ohctjI0RT8nhdKKYdLYJEN2lpAb74QhyfMCHgvmAXZd4IteIic1+e\n/mwLYpYw5D6Wa+imtOreSUJZb7JzpzD0SXqzRugwazdhtxexkXvpopl3CefKLAEKkaDpEcYN6/2C\nmVGQP5PHykQSauHy+lt+IRwfewKIae/HbleLINFNvvzSJ5ipycwEBg0KWIrJqgJJsKgVl/J+QF2i\n9p3Qp4VjxElfncK65jrj/rIWhISyMKO2DPzn5UeE4zuytEKHmUZjtxexkXtp+o33CeeecwJIZU7D\ne9ld0yOCaFgfZOZlpHNf6SOo1i0FZxswugZYPWu1bS2CRDcxcF2CMcPC3YC1BZLO4Fdc/pcjZcol\nwnHFmtzqbUXf+L62CWug3pdhRLEMKBvRqMNiwKUSP6IIHUb9I3NScyw7qcww7PM3cCBwrMMnE+8F\n3GMfwt2HVpr3zyRsS8BUdVk8maTtUKRTUXcIO7KAaWXa8bxK6/f1JEKILJhdlQSjvGvdpW5/n+WI\n7ZE6fjzwwQfaoUrgpbG+n2uaalD1QFUvPFjnIUtZGFFbBlLOAMNPaY97AXzRHj6iCB2RklEWEMlm\nO/PMsOj5/lGIkWDtH5e496NRKMtOzZYG+3/rVEr4H4awDjKlRVLhPhLiLANiUtkfsJcST0JZGFFb\nBvIkMVNfpQON8VqhI1IyygIi22x37oye7x+FyARupcn2hKJhwFFdXZTYWODss8P4hL2HEubAljJU\n1FZIhbKbWkaE/8EI6yATyvLywv8cVkAilClxyXZT4sl9GUbUrkhZIPvOLF9hv+XXLtcIHYYuv0hC\n9jJpt5RExfePQpS/aeHGQpTXlmuabPf76rBw/qmcgZjwxJjIdsNADHPg4NIMsyEH5WVyiCjg+HGg\nUreJxMYCY8b0zvP0NuPGAQ4H4O0ou5RbC+TFD8NPr/utrd4TZCkLI2rLgEwo25EFJMcn22oC9RgG\nljIislFcKzmpOZpil7L18Vafo7bsaBEsinVszto5QgLE7gGAR590eugQUGPNWktEiJFZyc4+G4iP\nF8ejgaQkYNQoYXjnJattt5+SUBZGArVX2pkVxVmF55wDxOgq/n/zDTJ+yqhgbBSgn/d5Yo9lfDbA\no/k9kkqjqMuDyDgTB+yV9SCXbc5E5ENJMCISF6YdK/uTUBZmXHkuFF3xa+mmszPLXgGJPYW71I3c\nJ8ZgV5pHODauEhFpFSG06Oe9LOayVNKOK1KUGLN6hAqR1k6G6AYUTyZCQhkRCFm1cnepG799dh6S\ndTX/ahOAEwOctgpI7AnUFgKzdjKRZBUhRNSufeYFxkmUllLJ/IgUJSYY4VIqlJGLP6Ix7Hgh+7uT\nUCYMVW9+27hjiEWhQP8QoQ/WLa8tx9y1c8HBcZMYw4zSLGDV9X+znf+7u6gtBDuzgNt2aY+rY4si\nxSpCiKiD/mMOliO5VXu8NgGoSNWO2S2rygyjeoRqZMH+JJRFLrI9ZN5r88A8Xtwma68UJe5Lw7pr\nEqEsae9BHK4BeEzHvx9g7fp+ZCkLETJ3hBLIbJR5aeWJEirUglagxsuRYhUh5LjyXCjKL8LEEzHC\nsdJMAKpAdwaGgvEFEbNmjMqDqJFaynbtAjyi25+wP0YdL1a9+CDQpCs8nppq2hM2UjBtzTZkiK83\nrgpnGzDyZMfvja2NmLN2jqWtZiSUhQgzq44syP9QrrxpaqSjFrRkm86444DDG1lWEcKYwo2FOPeo\nKGToXZccHOu/Wh+mpwo9snp886fM1whqh1OAGn3nsaYmYP/+8D4sERaM9pD0/d+Ig3l5UdET1rQ1\nG2NSF64sFMLKccoklIUIo870gNxSdtn1/xPCp7EuagvBkRSgJlF7PKkNGH3SgYLxBSjcWAjHUgcy\nlmUgY1mGreIECGPUcTPlteWGSTB6Is2dra+8vmLmCq2g1i8HrWMlxXNtGMxMBMbIMzD+uET4ihLX\nZcDWbOPGCcdkQhlg3ThlEspCgLvUjbrmOumx5GatORUAOGO45sb7w/Bk1kNtIQCTb75jj3lRvKPY\nb7KubqpGdVN1xNariib07ggg+MzLSHdny2Jnsi6+SjyR4soikhmjZggubAAYW8mFsQXlKzTJZHYL\nbg+WgK3ZOiGUAQgYx9kbkFAWAgo3FqLV2yo9NlYyQdiIEUByckQvJjPUBURlQtmE48y0XIBVNR4i\nMHp3RGIrMEpSD3XfoDjN75HuzjaKndnc/7R4sizom7A17lI3incUawoqK8iUlp1ZPgHj9n/djjte\nuSNiiywH7IUscV/K/r0UGJjl/m1IKAsBZm4VmWsGeXnmAYxRQlF+EfYMFitSjzsmvpj0RJorK1rQ\n/93OPQHE6P7c1QOS8ejsp6Oq/6lR7Mz/nVonnrxrlzhG2BqjunXOFuAsidKyq92S3OptRYtHW28p\nkpRWfexlujMdzlgn5q6di9zHcvECRAVlVA2QILeRgINb7t+GhLIQYGRizUnNwd9G3iMeGDfOPIAx\nSnDluXD998TvO1mSjacn0l1ZkUowRWM/SfOtC3W8VSQLZICxW2Wj85g4+PXXQKN54VnCXhgpmWNP\niJt2WSpQlyg9PeD97IjiWSmZVYKmtiZNKMvt796Lkxl9NOfHcGDiKeN/IKv925BQFgKK8osQHyNa\nfBpaGnB08wbxgnHjAgcwRgnX3HC/kEU0rMaDAV592lkHke7KimT07ghZEsznA7xRpZwAQAyTKyKN\nzhggJ0c7yDnw5ZdheCoiXBgpmdJ4S1mplCDvZ2eMDBk7MsTs7UeG/MAXtyzBav82JJSFCM5Fl1t1\nUzWYzNUwdmzgAMZooU8fYPhwYfjZMQ9qTNbpzvSocWVFMnp3hFHmpRUDckOJh8trj3m4RxrMTC7M\nyEIWOwXIw1/USTBxjjjBIBCpSquRweLTtDPC2CWnUgLHo1kEEspCgFGgf1ojMLBBNxgbC4webZsJ\nExYkm841Z4b63VdVD1Sh6oGqqHFlRTrqUhATToivpNJMawbkhhIjrT4nNYeEsihAVrduwZQFOL9a\ndMMdHZ7hP+fpG5/GUzc8FRXxl0YGi6O56eLgrl0B49Gs8n4hoSwEGMYDyIL8x4wB4uOlizBSF1NA\nxo4VxyjDLPI5fhwD6r2aoRYHsDfDmgG5ocRUSTMQyqI1eztSkdWtu/RUX+G8P/90k0ZB1V8XqXuI\n0RqZfr0Yt316+xYA5vFo816bhw2VkvCiMENCWQgwkuBl9VLKhvX1v0gLNxaiKL8o4hdTQMgSEJ2U\nlgpDXw4A2trDq6IpvtJUSZMoLae3fyJkb89ZOwcZyzJIOIsUKiuBEye0Y3FxwOjRvfM8vYzRGqkb\nMQReXXm3PkerkfIz5ldWjOLRnjz4ZBi/gRxqSB4CivKLNI1kFcaeEM99tnUbymt9rk67NEwNOZJN\np/HzTyFGWBARhUQoU8fLRFt8pWL1EDj7bMDhALwdVsU+lTWIrQeg825VN1XTOyUCcJe6sX7FfRDE\n63PO8QlmUYp+jbhL3Zjzxo8wqT8wWlc6ZOwJYHNiuXRvVjjebFJpNkyQpSwEaKrUoyOTakpNgnDu\n9gxt7Fm0lcGQ8Y/Wz9Cmm5lJx0/ihQ9X9c4DEeFBYg1VMsuiNr5ShtMJnHWWMCwNjwC9U+zOwnUL\nMXftXGQelPyBo6S9UjAotT493CPNSFUyVxtbGw2zmzMTJK1DwgwJZSFC8V3zJRxtD7WBP+TFhSf7\nCOftksyBaHLTyPjZB0vxlaR16PPPPxT+hyHCx+7dwtAXAxDd8ZVGdLKdTLS/U+yKu9SNlVtXgoNL\nhe7fnnqdYgjbUbskZfuqen14uEcaj3bn8DtD+YhBQUJZuKisBGq09tQzcQwH+ounRpubRk9FbQW+\nGCCODzho0i+DsDeco3mX2Fj74OBEFOUXkUDWjhLM/6vqtcIxM6Es2t8pdqVwY6G/1dI5VeLxD/ue\nitoOMHrUikcgoUxR9PTxaNOzpofhSc0hoSxcSFwzjSOzkZhAZTD0ZKdmSxfVVEnmEREhHDuGhHpd\n4G0ssKfPGXK9taNuxSZr0G4klNE7xb74BQ3ua0GmZ7dKeY12N7Va8TATypT1YNUsVRLKehjDtHSJ\nUHbqrGFC7JmysKJZ4ynKL8L+QWJHhGuah/XC0xA9hWnJBklF+r0ZgNdBrjeFYN0z6c50Kq1jY9Tr\nxMF8W3RWA9BfVxO1KRYo76cdi+a1oi6R8VUa0KwLG8tsBCY7hlp+PVD2ZQ+iaLLKi1OdTXnhe//C\n/7P37vFRV3f+/+tkcichkMkFDEy4QwLDRbFi3SoKdgW1trTd2g4stSqL9teiq3Xbxi51a6pf11pp\nuy61VGVhWu22aLWirqB4LSoiECDcScI1lwkkhEyuc35/zHwmn8/nnM/MBOby+cy8n49HHiTncz7D\nmfnMOed93le9a+6zvR9hCpYL0Zr1bfVYsmEJPmj4AE/d+FQ834IpcDldGHrrCeD5f9O0j6iTHBUJ\nSxBqbricLqk/WW2R/18yvflRb7iHCv053DJVad1KOoHy7hxUL1pl6k2HMEY/T5TKDjIt2X67/9Ci\nJpXnivKdr9pchYa2BhwuTUflSW0g3bbPPwc45yVgdJFDmrIoEqqoePv2vwv9t9t7UbW5SnofB8fq\nbatTVmN288J7xVDv5maU/oCRU6sFCTU3AEg1ZXuLyfQGDGhOFN8iwJ+7bV+R2HfNuHtIILMwsnkC\nyP3JDpRqVUE0V7QJdyuv/SexgwXyXZJQFkUMi4qfrcfEUz1C++4S/z1G96VCFnNDk1ZGhj8fk47K\nZpBTqwUxnBtKu0RT1lJeZHpTQ6xR+5HpkZkw53tHxmFURKwwmicVEk3Z5C98mczUobBoEnISyqKI\nker4Sl8Z8nUy2blMoKEASGNpmhOwnmT2EVBvOEoE0W0v3Yaix4qQ9lAaXk4/LNyjhIWnulOr1TCa\nG2kszS9cSzRlqx94N+U3GSPNCQAcdwwTGy2w6RDGGM0TmflyxrXfNKWjummQCWWSBNVmI2ZCGWMs\nmzH2MWNsJ2NsD2PsIUkfxhj7FWPsEGNsF2Ps0liNJx4Y1eJ6eMQ3hb57igGwAZ8BI5LZR0C24fT6\neoP1yD4aLm5G6gizZBZYkw3Z3AD83/9/e+FOf8oYNenpQoLUVKztaPQdZ2B44F/WihdIKLM0RvNE\nZr5ERUXsB2RlnE6hqWPHx3DvXJeAwUROLDVl3QCu45zPADATwA2MsTm6PgsATAz8LAPw3zEcT8wx\nqsV1bYeYdGtPKZO8gpZk9xEIJ1TJcpWpS1Uls8CabChzQ5ZJu/yUV7xh4kSNT6FMq5oKJmyj77ij\nwGFsnuE8JQXYZEBfDQYAhnmBkR26jjabtKoDocLhQG+utu5YXjfHw+vNvW7ETCjjfpSvUkbgR2+n\nuwXA/wT6bgUwjDFmaacIae4Tyel1d7GxyTJVfATCCVWGYf88+QXWZMTldMHHfUK7zF9GrwUIGyiQ\npBhp36vnVQNjxgC5Oq1Kezte3PTrlBRgrY4iSC/ZsAQAcNfsu5CbkSudHwcKAfZIFthDjIrOG8EY\ndheL683Yk+bOfRjTlBiMMRuATwFMAPBfnPOPdF3KABxT/X080HZK8lrL4NemobS0FFu2bInFkIN0\ndHRE7f+4bOtW6NOenigbBuCs0Lc0qxTPz3ne/4cHMX+fRkTz/RuxeORiPH7ucXT7uqXXjw735+LJ\n6RtoG94FTO8pws0V/4LavbUY8eoINHU3oSSrBHeMvSNqGZnj8f7NSizfe356Ptr72jVtMn+Z+txc\nHFWNIVSgQLTHaqZnX4Yy3Dv+Xqw5ukbzPS/zlGHLu+/iUocDQ/ft09zzv39Yic4xogB736v3ocxT\nFvb/NNP7TwSJeP+bGjfh8QMDa2F9Wz2e2f4Mbii9AWM/fRuAds7stg+4vXi8Hnz7xW+jdm/tRa9/\nyfbsjxT2YJYuRqayGXjdYN0ww/uPqVDGOe8HMJMxNgzAi4yxaZzzC3J64Jw/DeBpAJg9ezafO3du\n9AYqYcuWLYjK/9HfDxw7JjR/w/UzvLr134TTf19aH07YTyRcQxa19x+CuZiLipqKYF6ZwpxCnOs5\nh55+f1SEL82fFuEynYi+c64b7pHNmnw+jd2N+OXhX6KisiIqn1083r9ZidV7d9e44fWJpkqZv0z5\nggUoV43BscMhjUB0FDiiPlazPfu5mIuH8bD84pw5gE4oG3XiLDBG7NrU3RTR+zLb+483iXj/337y\n28LhtNvXjR2dO/DSmDsAPKG5tlfn2tHH+7D+1Ho8/A2D70mEJNuzf3/0cOCzM5q2ymbjdcMM7z8u\n0Zec87MA3gZwg+7SCQDqNO2jAm3Jw5EjQJcuFXNhIb567Xfx9M1Pw55j11zyeD0pZWpQm3tbHmjB\n7bNuB8OAv53Mrwy7d6esOcvKVG2uQq+vV2iXacr05suQZrwU5lO7mGrnijNDpH3JB9O8hEwZI4lM\nrpWsixT4JHLVP4oFxqd50ky9bsQy+rI4oCEDYywHwPUA9um6vQzgnwNRmHMAtHHOBdOl1VA72S57\n9Cqxw9SpAGNwOV3Iy8wTLqeycLHx4EZNihCZXxn27Amf94owHbJnM6QbKG/TNTIGTJ6saTIKokm0\nRjmRuGvc+FnLX4T2y9qGkABrMUIGdISodqGGg1NQh45rb/yu0DarNROuad9KwGgiI5aaspEA3maM\n7QLwCYA3Oed/Y4wtZ4wtD/TZCOAIgEMAfgfg7hiOJy64a9y47aXbgk62JUclagBV1BQJF1r071sq\nlO3eHXoRI0yJ7NlM9kg6yhzYYRBEk8JUba7C9uGiP2ZRQzOevum3JMBaCCNN8KNX/gSo15rtfUxe\nzQGgxNoCo0cDQ7Sa44zzXcAJ8xrkYhl9uYtzPotzPp1zPo1z/h+B9tWc89WB3znn/Luc8/Gccyfn\nfFusxhMvVry2QmOiUefVGmgcEMpIuNCif997DDRl1df+jLQBFkO28UhNl5WVAFIzL9lgaGhrwLEC\nfyJqNXndHD98zh/Bt27ROhJgLUJOek7wd3uOHU/f/DRuzZgl9OscWYzuLOOtO5UtLQJpafJ8bhLt\no1mgjP5RxuPVHv1DbToA+cro0X8eDZJNB+fPwzX8GjJnWQzFBKn2ozRKh5GqeckGg6PAATC5gH5/\nLwAAIABJREFUKYvKkVmHu1+9G0s2LNHsHd6+QECMRHjIm3k5ODdOqQSkrqVFimq/DUJCWWpi6wcm\nycwzU6cGfyVfGS3C5zGsHN2Txokd9+4lc5YFcTldaHmgBXfNvguAsZO/USDHitdWxGGU1kA5wOgj\n8YCBz5W0JubGXePG6m2rhVJ7wecmcfJHRUVYS0qqWlqkWEwoi2lKjFTEnmMPnnjGngWy9VWU7Hag\nWLuKupwuEihUCJ/Hjm8Du49oO9XWAjfog3kJq7Dx4EYABuVjKivR8Ib8pO/xeuCucdN8AYKfwa63\nFwvX1MIuaU3MS9XmKsPaxw1tDXLhobIS1ZdXa1ICqUllS4sUmVC2Z0/8xxEhpCmLMqsWrEKmzW9v\nk5pmKivJV2awWOykQ4Snoa0BmX3AhFbJxTCagFTX/KjXj6rNVThepk9NrRXKSGtiXkIJzGksDW07\n9PnWAVRUCOWYlPJlqWxpMdxXVZapIHv3AmFMwImCNGVRRpkMVZurMLVZTHZ5sDRdc8JR/D7U9xI6\nLOaoSYTHUeBA3oF62HTr4qmhDFc+O0OaKFYhlTU/iq+dev3IHi4u45XN8JcjyyStiZlxFMiTIgNA\nWm8/hjRIMkQF1kOysAwgmxfBfbXyViAnB/CqElefPQucPg2MNF9VR9KUxQDF1+mRsn8Wrv2hbwcl\nPR0sMk1Zba1pTzpEeKrnVWPmGX0Eh99pPZRABqS25kfma3dwaB+8OrlseBcwm5WlrNbEKsgCvRQm\ntgLp+tKNI0cCw4bFfmAWI2QycZsNmDJFvMmkB3sSymKJ5KF/mHdG0jG1T/9hGTMGyM7Wtp05AzQ2\nJmQ4xMXjcrrwwPCbhPY9RaEF7VT3l5GtE740ed6qCU1i9QTCXMgikhVk7i+nRw+Pw6isR9h8nxZy\ngSGhLFZwLo2caRsvLwicyqf/sNhsQoZ3AKadVERkTG/NENpkkYQAKDI5gNE6UX+JqG2xH22ilBgW\nwKiyiywy+fVMsY4yEUG+TxLKCBw7Bpw/r23Lz8f3Fj0qqKsZGBZOXBjHwVkQIxMmYV0iLB9TXlBO\naU8CyMxdGWkZ2FMsahgrm8k1wirIND2yyORPhp6Lw2ish2xeaPZVyf7R+MmWOIxs8JBQFisM8su4\npi/G0hlLNUW3OTjW7lxLJ9pQkLN/ctHfDxw4IDTXXZKj+TvVzZV69Hn87Dl2MMawbZhX6KtoWsg1\nwvzIND0yTdn+kjTaJyS4nK6Q++rLtkPCPWm1+0z5WZJQFitkAkNAsNAX3QboRBsW0pQlF0ePAt26\nuo2Fhai+lRIph0OdNDkvMw89/T0hE8iSa4T50Wt60nzAZImmrKbIRyZpA0Ltq/ce+DW6bdr+xZ3A\nL/76wziOMDJIKIsySq6UNev/VbwYECyoCPkFIBHKvLu2U843q2KQFNM1fTFVaRgEyppxeDjQo1vN\nSzoBR08OaRotgD7v2BhJ4vHWbKBpCB3gjQi1rx7tOIb9YiwFhh4+HuNRDR4SyqKIul7fFIPyMQAV\nIb8Q/uD9GL26b2uOpw33/fE2TX3EJRuWgD3ESEAzOwbmfWJwKGtGvw3YL/HHWzPhPhJsLYKiAbXn\n2KWmy73FgGKdowO8SKh91VHgkGqT/6GjMMajGjwklEWRYK4UHroQORUhHzw/fnclDkrmz/hGbdi/\nor6mYswmJ4R5n4gc9VoiC5K4vlse7U2Yl1ULVsHpsQnttSqhgg7wIqH21ep51TgwQoz2XpJ+WbyG\nFzEklEUR5fRSch4o7NJdzMry59sCFSG/EBraGkL6zcggNb+JkWnKdCZqMk2Hxl3jDh4EbcwmTydC\nfpeWw+V04fbszwvtitBNB3g5ofZVl9OFuQvvEu7xbHvXdOsLlVmKIkrJDKmgMGWKP99WACqRMTgc\nBQ7UFtcDuj1GWl9UBan5E4siODS0NcBR4ED1vGq4pn0rrPkyZNkUmjfC59PP+3F4ZCaAHm1HilC2\nJONPdwtttcX+9DDV86ppDhgQal+9esFy4L5fadrGneoGx8D6cu/4ezEXc2M/0BCQpiyKKOpTqaAQ\n2HDo9H9hVM+rxuERYlmeUJoygNT8iUTtY6n4/C17ZRle3PRroKND2zkvDxg9OvhnyLIphPTz+Wx4\nj9iRhDLrYZB4/LXqOgp+uRgmTADStXqoEeeBwsA06uztxJqjaxIwMC0klEURRX16RXu+eLGy0nCT\nIsEsPC6nCxP/4RahPZRQRmr+xGIkWG34i+SZTJkCsIEcQxShHBrZ53DQDvQxXePJk/7iy4R1OHEC\nOKdLEjtkiObQQlwAGRnApElCs1qJ0tTdFMcBySGhLMq4nC4szbxcaP96zb9j6YtL6fR/EfyPdyv0\n9Xkd7UC+qOmHPcdOfnoJxkiAKqqTLHw6J3+KUA5NYY4Y9dKTDtQXSzxSyK/MWsie15QpQBpt14NB\napWSpFZSH+xLskriOEI59JSjhPoL0PTJO8L1PcV+vw8ZdPoPjfLZHvAewxFJPd7JLdA4d65ftB4t\nD7SQQJZgjASoy9vFOn+fFXZrFtCFExdShLIB7ho32rvbhfZMWyYynDOF9q3/90w8hkVEC4McfkTk\nGFmldtnFPVgRynIzcnHH2DviPFIREsqigPoLUODlKDmnffB9DDgUIh0Knf7luGvcKHqsCIs3LEZ9\nWz0AecHqqzvslHDUhBiFqM/vukTo+0jLS5oFdO3OtVg6YylFKEuo2lyFXl+v0J6fmY/2cWIKjI/f\nfI5cJKwE5fC7aIxcJ572vif0rWxGcH2ZXzo/XkM0hISyKKD+Asic/A/agV6DOFc6/ctRBF2P16Np\nr5UIZd/JuTJOoyIGgzRE/abfoqRerB/zWaHWSb2ztxMbD24kYVuCkWbd4/Xg0daXhfaJjX3kImEl\nSCi7aIzmyLtDxLXni91lplpfSCi7CBSzmqLFAYAKSb0yfVJHG7PR6T8MspMOINeUnfxoM2kCTIq6\nTmPdPXVwjfgi0Nqq6dNtA44OE+8ls76cUJr13UVcaKtops/SUpD58qIxmiNd4xyib96JE0BbWxxG\nFRkhhTLG2MsR/DwXp7GaCrXJUo1heYwAmbZMrP3KWjr9h8FoE5FlLR9zyktRrFZBogU4UpKBfjGB\nOZn1DZCZhRX2F0EIhhnTBkzJHhX7gREXT3Mz0KI72WdmAuPGUTqlQWDkOrHyH3/uT42hx0SpY8Jp\nyioA/CLEzxMAxFDDFMBIkyMzX6pNbvmZ+SSIRYDRhiwzX447A/g6KYrVEkiEstzpl5JT/yDQF69W\n05UBHJUEw/yi/M44jIy4ENTC1j/9h1PsMGkS3LUvCI7rSzYswd2v3h3/AVuAkFVzZFpHE0UohxPK\nqjjn74T42QLgoTiM03QYaXLCacpava1iB0LASBuQNcyOhqHaNhsHJnnIRGMJJCfS8jk3UNmxQaKY\nhWWCmczEv6BH7EckHn2U4PC6RrFTRYVUCcDBsXrbatKYGSC4Tijricw/zypCGef8T+FeIJI+yYhM\nk5Pb4zcVqPEB2G8f+JuDk+o5AmQnHSXVRd3IbKF/RTOZuyyBQc1LwwWUCIns8HKwVBJVZCLzDDGA\nXtgyqgZjdODk4GQhGATuGjfurX9avGAVoUyBMTabMfYiY2w7Y2wXY6yGMbYr1oMzM7LFcOZZUVio\nGwZ4ddWBKJN/ZBht1MWXzxX6zmhNJ3OXFZAJBxRZdsHIDi9zvvgdsSMJZaZEL2xJK5RUVoY8cJKF\nIDIUreR7QzziRasJZQDcAJ4F8FUANwO4KfBvyiJbDB8b9W2hX93IHOn9lMn/wqm4epHQ5rLNIu2K\n2Wlr85f9UZOWhj/2fEoOzBeB/vDy+S/eLnYy0aZDDKAXtmTR+6ioQPW8ajDoa2jJX4OQo2gl90mC\nxXD0KOD1xn1MMiIVypo55y9zzo9yzuuVn5iOzALoF8OrzoketiM+d63h/XTCuUAkmhXHyfMJGAgx\nKCSCQfvoEtzxxnepHmw0kWkejxwBurriPxYiJGrtfn4XMFpfqCEtDZg0CS6nC8tnLxcEMwqIiRxl\nvz2fBdQX6C5yDuzfH/9BSYhUKFvJGFvDGPsmY2yR8hPTkVkRyabzbPdHht3phHOByDadAweAXjHL\nOWEiJPPjo/w2qgcbbfLzgVG6FBg+n3+OEKZAibhcsmEJ0ph/G54i05KNGwdk+91inrrxKaxbtI4C\nYgaBOrJV+ZwBeWols2iTDfLMC9wGYAqADAykweEANsRiUJZF4rfxvsx+HYBOOKFx17hRtbkKDW0N\ncBQ4UD2v2r8A2e1AaSnQqIpU6usDDh/2F+4lzIlk0ft0mNxkQFrki6SiAjh+XNtWWwtMn56Y8RBB\nFN8m5TDCuT/hr5HpUo3L6SIhLEL0n7O69nRtMXDDYd0NtbXAyJFxHKGcSIWyyznnk2M6EqvT3Q0c\nOiQ0d4wfDfQcE9rtOXaaXCHQTyjFrKUwLv8srtRHj+/dS0KZmZEcWpocdgDiwYW0yBdJZSXw5pva\nNnL2NwVGOS6nGjj5ExeG0edsYzbsKxILk6O2FrjuujiMLDSRmi8/ZIzRtyMUBw/6TQRqLrkEP7zp\nEWlizFULVsVxcNbDqKDsitdWYNkry7B9eLd4E2065kaiKbv+5hWUODYWmDwXUypjpAWeYpAOg7gw\njD5nH/fhtw+8K14wyf4RqVA2B8AOxth+Sokh4q5x47v/KXHor6gInVmYMCRU0eXO3k6pT8BLLz5C\nEXxmxev1RzjpWHDTvZrs9DZmC/qU0TO8CAyEMirVk3iMtMBG6TCIC8Poc3YUOOTz4+BBsH6JBi3O\nRGq+vCGmo7Awipnt/gZRTapMKPIDGDyOAodQV1SNLGu542QnOLSmTvrcTcL+/f4IJzUOB5CXB5fT\nhQ8aPsDqbauDfh/0DC8SyWbev68Wd710J875/H589Bknhup51Vi8YbGmLasXGHtW0pncMS6Y6nnV\nGhcYQKWFLyryrz+FhX4BTfnRW7sSQESaMnUaDEqJoUUxs0lPOaR6vmCMCsrac/zlEWQ1MKe0ACww\npyiCL3HItDEfvP47sWNgfrhr3Fi9bTU4tEIbPcOLoKjI/6PC1tePEU3awAr6jBODOhIQ8JeJs+nO\nLBg1yh9JS1wQYa1UdXXAZ58Bf/gD8JOfAF/7GnhGRkLHDITRlDHGtnPOL73YPsmMYmaTlcd4M/sE\nro/zeJIFZeLooy8B4LaXbsPpvF6czQKGqVzLcvuA8jagLpAujiL44o8sQOO2l27DTzf34ypd383Z\npzAP/mesF8gU6BleOE0OO0patCF9FS3AQZ3pnz7j+KHMDx/XamTIdBkbQlqpmDwZb6IJZ76sCOM7\nxgDo07ClFI4CB4631mOyJPPFnQefQHVNBZkGLhCjCbXitRXweD2oLQau1EX9VzQPCGUUwRd/ZAEa\nvb5eTGoS+77g24XTNe6QQgE9wwvnzawT0M+eymbgZZ1FjD7j+GEYednCAP3BhCwtKUk48+UU+Msp\nGf3cBODzsRyg2ameV43Kjmxk6fwDW3KA+kwvmQZiQKu3FYA8AaCS64ci+BKDkYAl0wTsLfJvUkZC\nAQOjZ3gRfFLQIbTpNfo0T+KLceSlRFNMmrKUJKRQZuRLpvs5Huo1kh2X04Vfj7lLaK8tBsDINBAL\nlE1c5uxf2QyKcE0gMgErvR+Y2Cr2rS32mzc7ejqQacvUXGNgWD57OT3DCJH58bWMKRH6VbT4I1wp\nEjwxGB1AprdKfJlIU5aSRJoSgwjBNZ3i4qdoccg0ED2Ujae+rR4MTOrsf3v2lai7py640VAKgPgi\nC9CY0Apk6IKaGocArYFuHq8HPf09Qefn8oJyrFu0Dk/d+FQ8hmx5FD8lff1Qx5x/FPpWtABrb3k2\nWK+XBLL4Ipsf+Wk5mNAiifojTVlMMPueQEJZNNi3T2iqLSbTQDRRbzwAwMGxz6h+WSD1gtFmZbZJ\nmEy4nC4snbFU0yYLgpFpOX3cF5wzJCxEjlGi5T+0voPeIdma9rwewDX8mngOj1AhiwhcP+Mh2Pp0\n/i/Fxf5yckRUscKeEJFQxhgbwpj/GMsYm8QY+xJjLPGxo3HGUMKWZMpuLS8h00AUkW08dcOArgxd\nBM3Zs8GamEabFfn5xZaNBzdq/pb5k0kLAoOez4Vg5CLR0H4MGVMltS4ps39CcTldqLunLqit/JJv\notiJTJcxIVSlGLMQqabsXQDZjLEyAP8HYAmA52I1KDNiKGHvWi9d5Nb++GMSyKKIbOPxpQH7CiUO\nsoHnYbhZkZ9fTNF/vrJCyzLTs9H9RGgGnbncJOVkiACy50Gmy5gQqlKMWbRlkQpljHPeCWARgKc4\n518HMDV2wzIfRhL2rzb8EDh3Tts5NxcYPTqOo0t+jDae+rJcsTEglIXcrIiY4K5xC4kxZebLIyOz\nDF+Dns/gMEq0XD2vmmpgWgHZ8yBNWUwItbaYRVsWsVDGGLsSgAvAq4E2W2yGZE6MJOyhR06IjZMn\nA2nkrhdNjDaeMVcuEDsHTp4hNysi6ijaZKVUEuCvsDBFoim7/VuPB6szqKHnM3hCZi6XaVxIKDMX\nEk2Zq7batI7oVibU2uLxSpKNJoBIJYcVAH4E4EXO+R7G2DgAb8duWObDSMK+8vxwsZFOOVHHaOOZ\nMfdWsXNg06Fi8PFFpk0ub/NXWlDTns3gLR6GlgdasH7Reno+UcDldKF6XjUcBQ40tDUMFHQ3Ml/q\n65ASicHnkwaKbcltMq0jupWxwtoSUUFyzvm78PuVKX8fAfD9WA3KjCycuFCoz5ebkYvFGZcB2KTt\nTEJZTJBm+E/bI3ZUaQKoGHz8kGmTZU7+e4o4lv3tXwDG6PlECVl5q2WvLANbuBrfysoCulX1yFpb\ngeZmoERM5UPEmWPHgE7tQaY9EzipKnmpBL/QPIkO9hy7VCsm09wngkijL4sZY//JGNvIGHtL+Yn1\n4MyCu8aNtTvXagQyBoalM5ZiUlO/eAMJZfFj4kTAprOknzoF5yMOUv/HGZk2WeZPVltEUZbRxsjn\n9cdbfuJ3p9BDJkxzIDFd7g0kHldDwS/RY9WCVchI0yaPyEjLwKoFqxI0Ii2GQhlj7G7G2PzAn24A\nBwEUA/gPAPUAPon98MyBbMHj4P7Qf3LSTCju/f+Lw4ViYdkhh4+R+j/OyHz4nK2i66mSo6y+rZ6e\nS5Qw2rTr2+rxiu2Q0P7gbxbRocUMSPYPWWQyBb9ED5fThWe//KzGbeLZLz9rGk1kKE3ZWgA3Mca+\nBqCIc/40AC/nfAvn/DYA18VlhCbAaMFrO10PnD6tbbTZgAkT4jAqQjHZ7LL3CdfUZjPSysQHmQ/f\nFzrEhGTqTYcE5ugQqn7otgKxAHZJQysdWsyARFN2aIRWi0PBL9FHnyvOLAIZEEIo45yf55zfA3+0\nZU+g+Sxj7HrG2CwA5jDAxgGjBW9u1wixcfx4IDNTbCeijqLBDFWYXIHU//FBs9itOIqi+iahjzqb\nPwnM0UGmpQT8Gn2jGrEK9AwSiERTdv2N36fglxQmrE8Z59wL4GHGWAGAH8Ifhfl7APfFeGymwSi1\nwgP2m8XOZLqMG4qgJVP3632ZSP2fAE6dwtAubZRfZzpQX6DtRgLzxaPXUqqdliM5tNS31Qerldy6\n9VbSnMUDzqVC2dwFd5lWi5MMJEXtS8753zjnbZzzvZzz6zjnl3LOX4z14MyCUWqFgiMnxc4klMUN\nRdAKt+kwMFL/JwLJhrOvCOC6VYcE5uig1lLmZeYF2w/agX6d22XZOWBol7ZNqVbS2N1IJs140NgI\nnDmjbcvOBsaMSchwUgHL175kjP2aMfYro594DdIM6G3QAFD399eEfh/mnRHaiNiwcOJCMDBpYfKx\nZ4DsXv/vHJxOm4lA4i+j12qSv0xsUGsfe9KBQ4ViH1lkrAKZNOOALEhs8mQxmpyIGlaohxxOU7YN\nwKchflKWqs1VmNTkE9rvq/+dadWiyYQ6Tcn5LNEklgZgckBbVl5QHvfxEZBuOvUjc2DPsZO/TIzR\nax8jMWHqIbNyjKGal3HHCvWQQyaP5ZyvjddArEZjSz3GnhXb99h94BhI3ghYI4uwVXDXuFG1uQr1\nbfWa9toif/Z4NRUtwEEHaWIShkQo+/G/rMePFy1KwGBSi+p51ZpksrXFwJf3a/somjIGpsnBqEBm\n5RhD6ZTijqPAIewdSrtZiDR57NvqpLGpljxWxtU9I2HTrWPH84Fz2QN/m00tanXU/gB6ZM7+U1v8\nCX4BmNqxM2mRaQJo04kLaj9YAIYRmDZmAwcH02UrJbNyHCChLO5YoR5yRGWWANyv+j0bwFcBiMmh\nUogHS74K4DeaNplgYCa1qNWR+QMoyMwzk5s5/mP7Gvz+s9+jp9+f1YU0mHHC4wGadOkw0tMph18c\nUb7fy15Zhtoicd5UeliweLwimHFwlGaV4hc3/oLmR6wh82XcUb7TVZur0NDWAEeBA9Xzqk31XY+0\n9qXef+wDxtjHMRiPZfjCeUlSTIlgYCa1qNUJJeAapcXo9fUK7VRLLg7ItAATJwIZGWI7ETOUg4ws\nGGZMK0d2L9AVeCQcHOUF5Xhu5nOY65wb13GmHGfOUOLxBGH2eruRmi8LVT9FjLF/BFAQ9sZkRrLp\nHCmlTMyxJJSAu79E/CpP8gA2SWlSgDSYMYdMM6ZA+Z6HC4ZRqG+rx3XvXEdm/lhjdGihxOMpT0RC\nGfyRlkok5t/hTxx7e6wGZQn27ROabrrlB5SJOYYY+QOsX7QeTY/2oyVP+3XO9AHjDTKUkAYzxpBp\nJqEoCTLVDvyRRmCaNX9TUkGHFsKASM2XY2M9EKvgrnHjJ2/+GHv2NCBHd23+jd9D3QjSjMWKcP4A\n/ZMnAZ9qhWWnx4a6UlvQpwwgDWZcoE0nYSgBMXr/y73FwA2HtX0jyVVGB8sYIJsfdGghEEYoY4yF\njF3nnG+I7nDMjbLYlTZ2IkcX5nAmG9jYtAmuEYsTM7gUIZQ/QOnsawSh7MHir+Irt3zJ1I6dSQlt\nOgnDKCBG5nc5+2wuGLzSlBgAmfljBkUmEwaE05QpxR1LAHwegJIG41oAHwJIKaFMWexkKv99RUDV\nWw/CNZ2EskTgrnHjUOOfsFLXfvjDV7Gk8H/hKHBg3aJ1JIzFg44OoEG3mTPmz1ZOxBwjQUpmvvz8\n+eHwrTyPoseK4PF6hOuFOZJSAMSgUfIrKgfD3Ts7kafvREIZgfDJY28DAMbY/wGo5JyfCvw9EsBz\nMR+dyVAWO5nKv7aITpWJQtFgfj5f1A6UnzhPyXzjjcTfEmPHAjl6gz8RC4wSZMo0Zbl1J/CH7WvR\n6m2Nw8hSE705ubm5Hnn6ssmMAVOmxH9whOmI1NF/tCKQBWgEkHKe0opz+BSJpqy2mJzHE4WiwZRp\nAqa0ACxQDYuS+UYXxZlcSMpLppmEIguIAYDWXKBxiLYtsx/4z3XLDc2XJKxdPHpzsj7iFQBQXg7k\nis+MSD0iFco2M8beYIx9mzH2bQCvAtgUu2GZk+p51WBghuZLch5PDIqG8sRQoF0XUZ7XC4xqF/sS\nF4e6uoIQrRfGyd9QmCOigj6bvxrZwWXMqS7D16KD5sWjX3OkNUcD/pY0N4iIhDLO+f8HYDWAGYGf\npznn34vlwMyIy+kC51xqvtxbTGaxRBHcOBikSTLViyBtMtFhxWsrBGfyoCYyRDqMkMIcETVcThfq\n7qkTyicZlVuSQVHK0UG/5kg/74oKmhsEgMiTx/4EwDbO+b2BnxcZY8tiPDZTcpltFAp1B8suG8DL\nabNPFGpzjVFmf4A2mWjhrnFLncKBgFZAoin7ys4fI+2hNCx9camxMEdEHb1AEGp+qLExG+VZjBJ6\nc7I0DUlFhTRqluZG6hGp+fJ7AF5njF2ralseg/GYnkfK/lloO1TE8LPrf56A0RCA1lwj05RNbQYl\n840ioTaJCUNGA4cPC+1v5ZwGBw/WWtRDZuXYoD+EyMyXUz1abVpWWhbWfmUtzZUooV6fGBhmtEri\n6yorDecAzY3UIlKh7ASABQAeZYz9INDGQvRPWq7vGS205c/8HC1gCUYx1zzy/b8K12acyaLcZFEk\n1Cbxy7F3AT6fpu1EPtCeHfo1yawcG1xOF+w59uDfMvOlszUDY/IdwUok90+6n+ZKFHDXuFH0WBHY\nQwyLNyxGR08H3Dc/i/EeSVBFRYXhHKC5kVpEKpSBc94A4BoAlYyx/wWEhPapgcQ0Uz7nhgQMhJAi\nifIbd7qbfDOiiNEmYc+x48b+cUK7TDujhszKsWXVglVB89mpfKAtS3s9vasHRxe9A99KH+ruqcP8\n0vkJGGVy4a5x47aXbtOY+T1eDx597k6gX6ctHjkSGDbMsIwczY3UIlKhbBsAcM67ArnLtgAIWTmV\nMTaaMfY2Y2wvY2wPY2yFpM9cxlgbY2xH4OffB/sG4g6VjzEt7ho3xr88H902bXuRF8g9S74Z0cJo\n81i1YJXUyV+mnbExG9WIjTFKJN+SDUuQk54De44djDEcGSFZumXrGnHBVG2uQq+vV2ifeFpsU/YP\nvZmT5kZqEmntyzsZY5kAJgWanuac/1eY2/oA3Mc5384YywfwKWPsTc65ftV+j3N+0+CGnUBkixcl\n/Us46gSNB+yAs0l7vaIZeH8I+WZEg5A1SB/+htD/8IgMAAObUW5GLm02MUafsNTj9SA3IxfrFq3D\nrPrNwLPPam/YuxdYsCABI01OjEz80nQYqkN9qDJyRGoQafTlNQAOAvgvAE8BOMAYuzrUPZzzU5zz\n7YHfzwGoBVB2ccONL/qcMS9sXQMcP67txBgwaZL8BYi4oY5ckpnLKpvJNyNa6EvGaPz1JJqym778\nAJ3+40zISD6JZv/QB6/Ea2gpgdFaI0uH8eDpP1JeMiII41yeyVnTibFPAXyLc74/8PckAH/knF8W\n0X/C2BgA7wKYxjlvV7XPhb9+5nH4gwnu55zvMXiNZQCWAUBpaellzz//fCT/9QXzt/qKncYOAAAg\nAElEQVS/4TcNv0G3rzvYduWpDHz4W6362XvJJfjInXwTqaOjA3l5QnU203LdO9cFs5KvfBv46Tva\n67+ZY8Ppe34Ysb+M1d5/NAn13jc1bsLjBx7XzIustCzcP+l+XF90Lb6wYAHSerVz5IMNG9A7fHhM\nxxxNkuHZq+eDGgaGtee/jiX/+SdN+99HM7z6nz/G/NL5SfH+L4ZovP9NjZvw6L5H0Q+t/9iO1cCM\n09q+1y4Ftoz1/67MpUT59dGzj937v/baaz/lnM8O1y9SoWwX53x6uDaDe/MAvAOgmnO+QXdtKAAf\n57yDMbYQwCrO+cRwrzl79my+bdu2sOO+GEY8OgKN3Y2atsU7gXUv6jreeCPwt7+F1h5YkC1btmDu\n3LmJHkbEjHlyTLDe3z/tBl74s/b6qSunYeSHNRG/ntXefzQJ9d7Vn7Oa8oJy1N34pqg1ttuB5ma/\nRtkiJMOzN3pO9hw7hp88g4OrtBGyZ7KBWT93oO7e+qR4/xdDtN6/u8aNFa+tCDr7F2cV4tTKc7D1\naA8tpfcDTSo5oLygHHX31F30/38h0LOP3ftnjEUklEXs6M8YWxNwzJ/LGPsdAs7/YQaRAeAvANx6\ngQwAOOftnPOOwO8bAWQwxsLEasWHpu4moc0o6R9lYk48mgSykm/QyGNn4zyi5CRkLiWjmpcWEsiS\nBVkwRkZaBs71nMORAh+8Om/i4V1A9wnyuYwmLqcLLQ+0gK/k4Cs5mr7+sSCQtWYDTbp6pJSXLLWJ\nVCi7C8BeAN8P/OwNtBnCGGMAfg+glnP+hEGfEYF+YIx9LjAeearwOFOSVSK0SZ00p0yhTMwmQB25\ndNAO9OvlgOPHgfZ26b1E5ITMpUSRyaZBFsk3NGsoevp74EsD9tvFe+Z6S+M/0BRiy2v/LbTtLYaQ\n8ZN8X1ObSGtfdnPOn+CcLwr8/JJz3h3mtqsALAFwnSrlxULG2HLGmFIN4GsAdjPGdgL4FYBbeST2\n1Dhwx9g7hJNmZYvkxF9RQZmYTYKSQNb7MIdt3Hixw7598R9UkhEyl1KImpdE/FHmg5J/rNXbGrwm\nS1Pyr8Mo32KscNe48frLom5CX/aK8pIRkUZf3sQY+4wx1soYa2eMnWOMhVQ7cM7f55wzzvl0zvnM\nwM9GzvlqzvnqQJ/fcM6ncs5ncM7ncM4/jMabigbzS+drTprj8xyYeFbycVEmZnMiEwYoF9NFEzKX\nEmnKTI16PZLVwLy8LXUdvGOJ4t4yuVnUNyiuFhSZTChEar58EsBSAHbO+VDOeT7nfGgMx2UK1CfN\nQwtfR1qfLhNzaSkwfDhlYjYjMmGAhLKooNfAuJwuf2klyef7Ytp+TVoZ8rNMHOH8Lml+xAbFvUWW\nDmNvsd+xXzOXiJQmouSxAI4B2G0W02JCCKEFCJlMk0gMJJTFl+PHgfPnNU29udlY/PEP0dnnBYBg\nAAwAmhsJQL1O1RaLkZlS8zNx0TS0NQBcHihWNzKbDu+EhkiFsgcAbGSMvQMg6Etm5MBvddw1bty3\n9T40vdM0IGDV1okdVZn8KROzySChLL5IPtvPhnWhs0/bpgTA0FxJDMF1qqcH+G2utg7j6dPAWYpS\njjaOAgd6j9VjaI+2vSMT+MliMlcSWiI1X1YD6ASQDSBf9ZN0KPb/xu5GTXqLo3/fKHYmfxnzIit9\ndfgw0NUV/7GkAhIti8xvCaAAGFOQmQlMFFNCvvG3J4O/6yuakOk5ctSfXUdPB2Z4RP1H94SxcM1Y\nkoDREWYmUk3ZJZzzaTEdiUkwSm9xbqeYlu2L21bgwJNPkKnSjBQUAJdcApw8OdDm8wEHDwJOZ+LG\nlaxINGVSvyVQAIxZaCjLg0MXkPzShkdg/0YfTtSc0NTOJNNz5Mjqjk5uFvUf9kuvivfQCAsQqaZs\nI2PsizEdiUmQneKZDxjX2CO07y0CJYo1M5IIzO8+fh2d/GOBRFMmS7tAATDm4WV2QGgbf7oHvz74\na8q9eBHIPrvJjT6xI6WLISQMJnns64wxb6QpMayK7BQ/qh3I0yZixrlM4EQg/pQWK5MiMS8XNbRQ\n1YUo4q5xY8wvy+HZ/oFwTW++pJB/c7F1qLiEVzYD7f3t0hJNAJmeQ6GYLGWfnTTxOLm/EBIiTR6b\nzzlP45znJHtKDFl6i1lns4R++4qgycRc31ZP2hcT4a5x48FT4rNQR0CRMH1xBM00Jxtg92qvddmA\no8P8v+dm5GL9ovUU8m8yzowZIbQpwoON2aT3kOlZjrrUngxZ5OXLtkPks0cIhBTKGGOXhvqJ1yDj\niZIcszSrNJjQ7yfFXxf6yfxlSPtiDpQF8v0hrcI1fa4gOvlfOKHyLx0tyYDPRgkxzcySf3pYaCs/\nC+T2AP28n3IvDgKZyVLBfh4o0V3qtgFf/eQHmnrJSzYswd2v3h2H0RJmJpyj/y9CXOMAroviWEyD\ny+lCmadsoFr88uVCH6PIMgr5TzzKAil7RpM8QJoP8AWOI3Tyv3AUgVZmmqn4wlfgW/lCnEdEDIZb\nr7gd9cOXofzMgL9TGoDJLUBrRTmq51VT7sUICXW4u9ZbCqBR03awEOjTKSM5OFZvW42rHFfR55zC\nhBTKOOfXxmsgpkYSWXa8LB/AOWl3IxU2ER+UBbJpCODJgca0lt0PjD0DHLbTyf9icRQ4UN9WL9WU\nkROzNUif6gTe36lpm+5Jx/UBAYyEg8hQ5oKe8oJy/O+IHwHQHuxlQTCAXzCjQ31qE858+YDq96/r\nrv08VoMyG101O4S23YW9sOfYpf0ZGJkwE0hQ+8XkZubKFnI6jwaK/6XMX4acmK1B2efmCW3f9l1B\n82KQhCy1J0sXYyCUAeRSkeqEc/S/VfX7j3TXbojyWMyJx4PsM9oopd40YHe+PwkpU3v7B1BOO0Ri\n0NT4kyx+L8/8f+R0HgUU/0unR+IUXllJyUetgESjObUl0qB8QkGZC+UF5WJxcYlQZqQpA8ilItUJ\n51PGDH6X/Z2c7NsnNCn+AK3eVnDIy4HSaSdxqGv87SuiGn+xxDX6RqC9X9tos+GP3duw7I3vUvJR\nsyPRaJ7Z9yFKH0ojP7JBYmjulVW7MEisTC4VRLgjETf4XfZ3chJC9ewocKC8oFx6G512EovL6ULd\nPXX4xT2S8lhUAzNqvPHKL8XGCRPwo/d+SslHrYBEKBvr6Ud6H+Xyiwrt7cDx45qmfgYcUHm+KNYW\ncqkggPBC2QwlWSyA6YHflb9To1aNwSlHOdGE9CUgEo/M4by2FuCpcaaIJe4aN/664VGh/W/pRyn5\nqFUYPhwYoc1XluEDJgSyyZAgHTlSc73kAHjeMQIjigbMnOsWrQNfycmlggAQPvpSnkEwlZAIZU3l\nRXj65ic1E4hCx03K6NFAbi7QqdLanDuHKx4ajU/YSRTmFALwm6Lp2UWGu8aNqs1VqG+rxy9Oi9d3\nFIolyRRIg2wOlGfY0NaA9/My8Xnd9YoWoLbE/zsJ0uHR17tUtIzj+l24Utd36MwrUD3v68HPXxF6\nad0hgMgLkqcuEqHsV/e9CThnAtAubrSpm5C0NGDKFGD7dk1z/pET4OP9xYIV1H5PZSiL6zDNjPo7\nXphTiHM959DT7xe8ZOkwjJyYM22ZpEFOIGphmoEF/WE/G94tCmWq58rBMebJMbS2hcCoVuiH/7dG\nEMp2F/mo2DthCIXZhKK9HTh2TNuWlgZMngxAW1qD6imaGInfjDS3Fshco0f/Hfd4PUGBDBicUJaf\nmU+bToLQlwFSByjJnpf+udLaFhojbeKUZtFN4nfdH5K/JWEICWWhkEReYtw4ICcHgPHpiCaXyZAI\nZdICwQHIXDNAqPIx+V2AQ1fT2gdgv0FkWatXLHtFxIdQz1EWCSibH7S2GWNklpcdWt4b4hEbQesO\n4YeEslDs2SM0HRs1UIfdaBLR5DIZMqHMQFMGkN+TmlDVKaZINu4jw4GuDHl/+lwTR6g1SZbLb0qL\nvxzZYF4nlZEFfA3pBsae1fbzAegcN1r6GjQ/CICEspDsfefPQtsLvl1BFb7RJKLJZTIkEZihNGXk\n9zSAjRnH+gzGdEkRyYkl1Jp0Og84k61ty+nzFycfzOukMvrksTZmkx5ajtnT8ZMFj1DEPmEICWUG\nbGrchLoPxRxXO+19QRU+pcOwCOPHA+namJbS80ChxJpjz7GT35OKft5veG1qhEIZ5V9KPLK1KohB\nObKZZ7I0f9PaFholN6JvpQ9rv7IWs85kCn1sU52hs/8TKQ8JZRLcNW48fuBxqYlrb7Ffha9EMnX2\ndga1CTS5TEpGBjBxotA8S7fpAEB3fzc5M6swqu9aXlCOHwy/UWhXC2W5GblYv2g95V8yATJBQI3M\nhPlg8SISHC4Ql9OFe4Z+UWgfNef64HVFgKP5QaihlBgSqjZXwdbVLfgDAMC+wIly8YbFwbZ+3h88\nRdLkMikVFUIix9uy5mAz3tG0dfR04Dt//Q5+MPEHmIu5cRyg+XDXuNHe3S60K6ktzj1+L/J1186M\nHQGGRkoPY0L0ZYDGPDkm6DMo03BeeiYbdb+oi9Poko+pzZJKhLJk1gShgjRlEhraGuROzMOAzkxI\n611SZJL5UGfY/vW5TcJ1b812yV1AT38P1hxdE+vhmZ6qzVXo9fUK7fmZ+bB1dmHISVGVvPgbD9Pp\n3yKoTZrSWoxUjmzQqNecur+/JnYgoYwIAwllEhwFDkxtEtuNnJgVKDLJPOjza/09X9T4lJ04Z3h/\nU7fkC5BiGH2fW72tWPenB5GmO5vUFQD/9vefxWFkRDRQmzRl5kvs3UvlyAaBes3J6uVwtPSJnaZM\nif/ACEtBQpmE6nnVcLaIUWfhhDKKTDIP+rxMsk3H6TGOLCzJKonFsCxFqOjiwqNifSXF35KwDopv\n0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ZmNWyaUSbQmqbABpwoupwv3T7pf61f7pd8ha+ZlQt8JJ7okr5AccyMSs+PdWVcJbbtH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\nFGY22cxeMbPXzOyqYrenkMzsADN72Mz+amYvm9nsY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(x,z, \"go\")\n", "xlabel(\"Idő [sec]\")\n", "ylabel(\"Elmozdulás [m]\")\n", "title(\"Lengés\")\n", "grid(True)\n", "plot(x, func(x, *parameter), 'r-', label='fit',linewidth=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Kezdeti érték és hiba megadása\n", "\n", "Lehetőség van kezdőfeltételt is megadni az illesztéshez. Erre a \"p0\" parameter szolgál. A mérési hibát a \"sigma\" paraméter után kell megadni." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.27196942432\n" ] } ], "source": [ "error=randn(len(z)) # normál eloszlású random tömböt választunk hibának\n", "print(error[0])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Megadunk kezdőfeltétlet, és azt mondjuk, hogy az előbb számolt hiba a mérési hibánk.\n", "param, cov = curve_fit(func, x, z, p0=(1.,3.,0,1), sigma=error)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LgIbM0K9ffY6yJdXzg8/4OjySxKG1/d+5AXDqApGO5gCe88Fpjio56Tn4w81/wrE5M7jn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\nj24OT0rrhsDWslb1G+UQVQxKiGCBs6dGWg5avdrX+rM32OrmtHe109b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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(6,6))\n", "plot(x,z, \"go\")\n", "xlabel(\"Idő [sec]\")\n", "ylabel(\"Elmozdulás [m]\")\n", "title(\"Lengés\")\n", "grid(True)\n", "plot(x, func(x, *param), 'r-', label='fit',linewidth=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Az eredmények: (biztos egyeznek?)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Amplitúdó: 1.24397081059 +/- 0.0118207573735\n", "y eltolás: 2.66489448411 +/- 0.00773304298654\n", "x eltolás: -1.80530982223 +/- 0.0123644586756\n", "Fázisnyújtás: 0.974388916202 +/- 0.00147777187424\n" ] } ], "source": [ "print(\"Amplitúdó:\",param[0], \"+/-\", sqrt(diag(cov)[0]))\n", "print(\"y eltolás:\",param[1], \"+/-\", sqrt(diag(cov)[1]))\n", "print(\"x eltolás:\",param[2], \"+/-\", sqrt(diag(cov)[2]))\n", "print(\"Fázisnyújtás:\",param[3], \"+/-\", sqrt(diag(cov)[3]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Paraméter becslés\n", "\n", "Gyakran előfordul, hogy olyan függvényt kell illeszteni, ami nehezen találja meg a megfelelő illeszkedést (erősen függ a kezdeti értékek helyes megadásától). Az előre definiált kezdő értékekből gyakran rossz eredményt fogunk kapni. Ekkor szükséges olyan, közel helyes paramétereket beállítani a függvénynél, ahonnan könnyen megtalálja az algoritmus a helyes megoldást." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Található a mappában egy \"fitting.csv\" állomány, ami egy csillapított rezgőmozgás adatsorát tartalmazza. Az illesztendő függvény alakja:\n", "$$f(x)=A*sin(2\\pi\\cdot\\frac{x}{T} -\\phi)*exp(\\frac{-x}{\\tau})+F0 , $$\n", "ahol **A** az amplitúdót, **$\\phi$** a kezdő fázist, **T** a periódusidőt, **$\\tau$** a csillapítást és **F0** a nyugalmi kitérést mutatja.\n", "\n", "A függvény bonyolultsága miatt az illesztést csakis a kezdőparaméterek helyes becslése után lehet jól elvégezni. A tapasztalatok azt mutatják, hogy a periódusidő becslése a legfontosabb az ilyen periodikus jelek illesztése során, így a **T** jó megválasztása nélkülözhetetlen a sikeres illesztéshez.\n", "\n", "\n", "Első lépésben nézzünk bele a fájlba:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0000e+00 1.8744e+02\n", "2.5025e-02 2.0521e+02\n", "5.0050e-02 2.1968e+02\n", "7.5075e-02 1.9634e+02\n", "1.0010e-01 2.0968e+02\n", "1.2513e-01 1.9958e+02\n", "1.5015e-01 2.2859e+02\n", "1.7518e-01 1.9386e+02\n", "2.0020e-01 1.8352e+02\n", "2.2523e-01 1.6855e+02\n" ] } ], "source": [ "%%bash\n", "head fitting.csv" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rajzoljuk ki az adatokat, hogy meg tudjuk becsülni a paraméterek értékét:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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r0de3GgDwpn4MOGoJIosWLkRf3x2RFDMopy+PAc89CwDo6+sDeeZHRpI2osGI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y/vMDbtilX+9fMnfOcVga9lz7lvZK2yAZBJhlexrqsMf/zpB28U5qHz6PQwHi1ZOD44riSlm9fu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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fitting=loadtxt('fitting.csv')\n", "x=fitting[:,0]\n", "data=fitting[:,1]\n", "plot(fitting[:,0],fitting[:,1], \".-\")\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Próbáljuk meg a szokott módon az illesztést:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.65149700e+00 2.48210323e+01 -1.03505300e+02 -1.38811967e+05\n", " 1.19819880e+02]\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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TgwWahrhXNi6WF/HkqSd9Ox3VVkAyaqFq/VLJGWPUJD+QR5fRVYug8RB6ergdySxlsWnT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def func(x, amp,t,phi,tau,f0):\n", " return amp*sin(x/t*2*pi-phi)*exp(-x/tau)+f0\n", "\n", "parameter, covariance_matrix = curve_fit(func, x, data)\n", "print(parameter)\n", "\n", "figure(figsize=(10,10))\n", "plot(x,data, \"g.\")\n", "xlabel(\"Idő [sec]\")\n", "ylabel(\"Elmozdulás [m]\")\n", "title(\"Lengés\")\n", "grid(True)\n", "plot(x, func(x, *parameter), 'r-', label='fit',linewidth=1.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mivel a fenti illesztés láthatóan nem helyes, adjunk meg közel helyes kezdőértéket az illesztéshez. Ehhez a *curve_fit* parancs **p0** kapcsolóját kell ismét használni." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 89.42072117 2.49985936 -1.58176518 61.27361296 119.74623238]\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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5x8YdiR7eaU+ky2nNmjWJG4wgCJ1GBFoPI3Jynr1qNleOuNIVD/6eTvGc4mDc1ivffCWm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\n6ka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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def func(x, amp,t,phi,tau,f0):\n", " return amp*sin(x/t*2*pi-phi)*exp(-x/tau)+f0\n", "\n", "parameter, covariance_matrix = curve_fit(func, x, data, p0=[95., 2.5, -pi/2, 50.,120.])\n", "print(parameter)\n", "\n", "figure(figsize=(10,10))\n", "plot(x,data, \"g*\")\n", "xlabel(\"Idő [sec]\")\n", "ylabel(\"Elmozdulás [m]\")\n", "title(\"Lengés\")\n", "grid(True)\n", "plot(x, func(x, *parameter), 'r-', label='fit',linewidth=2.0)" ] } ], "metadata": { "hide_input": false, "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": "3.5.2" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, 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