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@niklasbuschmann
Created November 22, 2020 20:38
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# Rechnernutzung in der Physik\n",
"**Institut für Experimentelle Teilchenphysik** <br>\n",
"**Institut für Theoretische Teilchenphysik** <br>\n",
"Priv. Doz. R. Wolf, Prof. Dr. M. Steinhauser <br>\n",
"Dr. A. Mildenberger, Dr. Th. Chwalek <br>\n",
"A. Heidelbach <br>\n",
"[Ilias Seite zum Kurs](https://ilias.studium.kit.edu/ilias.php?ref_id=1253214&cmd=frameset&cmdClass=ilrepositorygui&cmdNode=ug&baseClass=ilrepositorygui) <br>\n",
"WS 2020/21 – Blatt 02 <br>\n",
"Abgabe: Mi. 25.11.20 23:59 Uhr\n",
"\n",
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Gemäß der Vorlesung üben Sie auf dem zweiten Blatt die Erstellung und den Umgang mit Monte-Carlo Generatoren. Die MC Generatoren sind ein wesentlicher Bestandteil der Modernen Physik und kommen in jedem Fachgebiet zum Einsatz – immer da wenn es nicht analytisch möglich ist zu arbeiten, bspw. Integrale analytisch zu lösen. <br>\n",
"\n",
"Betrachten Sie zum Beispiel ein Event aus der theoretischen Sicht in einem der Detektoren des LHC:\n",
"![Eventgenerator](https://d3i71xaburhd42.cloudfront.net/085e658fe0e5b313c84e4dcb2e6c75aba63315d6/6-Figure3-1.png)\n",
"\n",
"Die Kollision zweier Proton besteht aus der Superposition des Protongehalts (dreifach Striche), dem harten Prozess (großer roter Kreis), den Underlying Events (großes Lila Oval), den Partonen Showern (rot), der Hadronisierung (grün) und den Zerfälle (gelb) (Die Graphik zeigt den Prozess natürlich stark vereinfacht). Um die Komponenten all dieser Prozesse im gesamten Phasenraum zu **approximieren**, müssen MC Generatoren zum Einsatz kommen, da es schlichtweg unmöglich ist, das analytisch durchzuführen."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# Aufgabe 1: Verwerfungsmethode <a id=\"Aufgabe1\"></a>\n",
"---\n",
"\n",
"Im ersten Aufgabenteil beschäftigen Sie sich mit dem vermutlich bekanntesten Beispiel für die Anwendung von Monte-Carlo-Simulationen: Die numerische Bestimmung der Zahl $\\pi$.<br>\n",
"Mithilfe von gleichverteilten Zufallspaaren $(x,y)$ und der Verwerfungsmethode bestimmen Sie im Folgenden $\\pi$.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## a) Darstellung der Zufallszahlen\n",
"Erzeugen Sie zwei Mal 10'000 _gleichverteilte_ Zufallszahlen $(x,y)$ im Intervall $[0,1)$. Schauen Sie im Internet nach, welche _numpy_ Methode dazu geeignet ist.<br>\n",
"Die $(x,y)$ Paare decken den Bereich eines Vierecks (Ecken bei (0,0), (0,1), (1,1) und (1,0)) mit dem Flächeninhalt 1 ab. Innerhalb des abgedeckten Bereiches liegt ein Viertel eines Einheitskreises.\n",
"\n",
"> Tutorium: Welchen Flächeninhalt hat der abgedeckte Abschnitt des Einheitskreises?\n",
"\n",
"> Frage: Welche Bedingung muss das Paar $(x,y)$ erfüllen, um im Einheitskreis zu liegen?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Antwort: $x^2+y^2\\leq1$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Tragen Sie in einen Plot alle Paare ein. Die Paare, die im Einheitskreisabschnitt liegen, markieren Sie rot und die anderen blau. Zeichnen Sie ebenfalls die Funktion $f(x)=\\sqrt{1-x^2}$ als schwarze Linie in den Plot."
]
},
{
"cell_type": "code",
"execution_count": 383,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"[x, y] = np.random.random_sample((2, 10000))\n",
"\n",
"passed = x**2 + y**2 <= 1\n",
"rejected = x**2 + y**2 > 1\n",
"\n",
"plt.figure(figsize=(15,10))\n",
"\n",
"plt.scatter(x[passed], y[passed], color = 'r', s = 1)\n",
"plt.scatter(x[rejected], y[rejected], color = 'b', s = 1)\n",
"\n",
"xplot = np.linspace(0, 1, 100)\n",
"yplot = np.sqrt(1 - xplot**2)\n",
"\n",
"plt.plot(xplot, yplot)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## b) Berechnung von $\\pi$\n",
"\n",
"Berechnen Sie $\\pi$ anhand der Anzahl der Paare im Einheitskreisabschnitt und außerhalb."
]
},
{
"cell_type": "code",
"execution_count": 384,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3.1528"
]
},
"execution_count": 384,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y[passed].size / 2500"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# Aufgabe 2: Transformationsmethode <a id=\"Aufgabe2\"></a>\n",
"---\n",
"\n",
"In der zweiten Aufgaben beschäftigen Sie sich mit der Transformationsmethode. Die Aufgabe folgt der Vorlesung und soll Ihnen dabei helfen die Beispiele zu verinnerlichen. Im Wesentlichlichen sollen Sie in dieser Aufgabe den Zusammenhang zwischen der Verteilung von Zufallszahlen und der Wahrscheinlichkeitsdichte lernen.<br>\n",
"\n",
"Wiederholung: Sie arbeiten mit den gleichverteilten Zufallszahlen $x\\epsilon\\text{U}_{[0,1]}$. Im Folgenden betrachten Sie zwei Fälle:\n",
"* Sie kennen die Verteilung $y_i=y(x_i)$ und sollen die zugrunde liegende Wahrscheinlichsdichte $q(y)$ bestimmen.\n",
"* Sie kenn die Wahrscheinlichkeitsdichte $q(y)$ und sollen eine Verteilung $y_i=y(x_i)$ berechnen.\n",
"\n",
"> Tutorium: Wie hängen die Größen miteinander zusammen?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Antwort: $y(x)$ ist die Inverse der CDF von $q(y)$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## a) Erzeugung von einfachen Verteilungen\n",
"Erzeugen Sie in den folgenden Teilaufgabe immer 10'000 gleichverteilte Zufallszahlen im Intervall $[0,1)$ und bestimmen Sie die fehlende Größe mithilfe der Transformationsmethode. Schreiben Sie die Zwischenschritt in die dafür vorgesehene Zelle. Zeichen Sie anschließend in ein Diagramm die Verteilung $y(x)$ (Histogramm) und die Wahrscheinlichkeitsdichte $q(y(x))$ ein."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### i) Gegeben: $q(y)=e^{-y}$ – Gesucht: $y(x)$ für $y=0...10$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Antwort:\n",
"$$\n",
"\\begin{align*}\n",
"q(y)&=e^{-y} \\\\\n",
"x(y<10)&=\\int_0^y e^{-y'}\\mathrm{d}y'= -e^{-y} + 1\\\\\n",
"y(x)&=-\\ln(1-x)\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 385,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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1pqMAAAAASHGUwQRi9/hoeQkuFQUAAAAQX5TBBPLx8hKUQQAAAADxRRlMIFZGrhTOlreTMggAAAAgviiDCcSyLDmFfeXt3GI6CgAAAIAURxlMMHZBH7k7N8v3fdNRAAAAAKQwymCCsQv6SJFm+Y07TUcBAAAAkMIogwnGLuwrSVwqCgAAACCuKIMJxinoI0nydm42nAQAAABAKqMMJhgrI0dWZg+5OzgzCAAAACB+KIMJyGZGUQAAAABxRhlMQHZBH3k7t8j3PdNRAAAAAKQoymACsgv7SLGI/PrtpqMAAAAASFGUwQTUPokM9w0CAAAAiBPKYAKy95RBlxlFAQAAAMRJwHSAdBSJuiouzj3IiFy19ChWsKnqEOP2r6U1pvrdzYcfEAAAAEDKowwaEAo6mnTTvIOOuSYnpPza5br6pYOP25/5d09W/eGGAwAAAJAWuEw0QVW6+erl7JItZhQFAAAA0PUogwmq0s1XwPJUbO82HQUAAABACqIMJqhKN1+SVObUGc0BAAAAIDVRBhNUtdtDnm+pNFBnOgoAAACAFEQZTFBRBbTdy+HMIAAAAIC4oAwmsEq3gDIIAAAAIC4ogwms0s1XsV2vgFzTUQAAAACkGMpgAqt082VbvkqcXaajAAAAAEgxlMEEto0ZRQEAAADECWUwgdW4uYr5NmUQAAAAQJejDCYwV46q3TzKIAAAAIAuRxlMcJVuPmUQAAAAQJejDCa4SjdfRU6DQoqajgIAAAAghVAGE9xHk8iUMqMoAAAAgC5EGUxwle0ziu40GwQAAABASqEMJrhaL0cR31FZoM50FAAAAAAphDKY4HzZ2ubmq5RJZAAAAAB0IcpgEtjm9mBGUQAAAABdijKYBCrdfOXbzcqyWk1HAQAAAJAiKINJoNItkCQuFQUAAADQZSiDSeDjGUXrjOYAAAAAkDoog0mgzstSsxfkzCAAAACALkMZTAqWtrn5nBkEAAAA0GUog0misr0M+qajAAAAAEgBlMEkUenmK8duVa7VYjoKAAAAgBRAGUwS25hEBgAAAEAXogwmCWYUBQAAANCVKINJot7PUIMXVqmz03QUAAAAACmAMpg0rLZJZAJ1poMAAAAASAGUwSTSNqPoLjGjKAAAAIAjRRlMItvcfGVYURXYjaajAAAAAEhylMEkstUtkCT1ZhIZAAAAAEeIMphEtsbaymAfZ4fhJAAAAACSHWUwibQqqBo3V30ClEEAAAAAR4YymGQ2u4Xqy5lBAAAAAEeIMphktsQK1dNpUIYVMR0FAAAAQBKjDCaZLe5H9w2y+DwAAACAwxcw9cbr16/XLbfcorq6OuXn52vmzJkaMGDAXmNqa2v1ve99T5WVlYrFYjr11FN16623KhAwFtu4zbFCSW2TyKyN9TKcBgAAAECyMnZmcPr06Zo6daqeffZZTZ06Vbfddts+Yx588EENHjxY8+fP11NPPaXly5dr0aJFBtImjt1+puq9DCaRAQAAAHBEjJTB2tparVixQhUVFZKkiooKrVixQjt27F1wLMtSY2OjPM9TJBJRNBpVr17pfjbM0uYYk8gAAAAAODJGrresrKxUr1695DiOJMlxHJWUlKiyslKFhYXt477+9a/ruuuu05lnnqnm5mZddtllOvHEEzv1XkVFOV2aPRFscQt0dnCbHLly5ex3THFxbjenQiLhvz/iieML8cYxhnji+EI8JdvxldA33z3zzDMqLy/XH//4RzU2NmratGl65plndN5553V4H7W1DfI8P44pO+9ID5LNbqEClqdSZ5e2uIX7HVNTU39E74HkVVycy39/xA3HF+KNYwzxxPGFeErE48u2rYOeHDNymWhZWZmqqqrkuq4kyXVdVVdXq6ysbK9xc+bM0UUXXSTbtpWbm6tx48bptddeMxE5oWz5xCQyAAAAAHA4jJTBoqIiDR8+XAsWLJAkLViwQMOHD9/rElFJ6tu3r1588UVJUiQS0SuvvKKhQ4d2e95EU+PlqtUPqC+TyAAAAAA4TMZmE7399ts1Z84cTZw4UXPmzNGMGTMkSdOmTdOyZcskSd///vf11ltvadKkSbr44os1YMAAfelLXzIVOWH4srU1VsBagwAAAAAOm7F7BgcPHqy5c+fu8/ysWbPaH/fv318PP/xwd8ZKGlvcAp0YWi/Jl2SZjgMAAAAgyRg7M4gjs9ktVKYdVZHdYDoKAAAAgCREGUxSTCIDAAAA4EhQBpNUpZsv17eYRAYAAADAYaEMJqmoAqp2ezCJDAAAAIDDQhlMYlvcAi4TBQAAAHBYKINJbLNbqAKnSdlWi+koAAAAAJIMZTCJMYkMAAAAgMNFGUxim90CSWISGQAAAACdRhlMYk1+hna6WUwiAwAAAKDTKINJbrNbyGWiAAAAADqNMpjktriF6uXsVlAx01EAAAAAJBHKYJLbEiuUbfkqc+pMRwEAAACQRCiDSY5JZAAAAAAcDspgktvh5ajJC3LfIAAAAIBOoQwmPUtb3ELODAIAAADoFMpgCtjiFqq3s1OWPNNRAAAAACQJymAK2BwrVMhyVWzXm44CAAAAIElQBlPAFiaRAQAAANBJlMEUUOX2UMy3mUQGAAAAQIdRBlOAK0eVbj5nBgEAAAB0GGUwRWxxC9TH2SnJNx0FAAAAQBKgDKaIzbFC5dotyrOaTUcBAAAAkAQogylii1soiUlkAAAAAHQMZTBFbIm1zSjKJDIAAAAAOoIymCJaFVKNm8uZQQAAAAAdQhlMIZvdQvXlzCAAAACADqAMppDNsUL1dBrkNtebjgIAAAAgwVEGU8jGWE9JUmvlWsNJAAAAACQ6ymAK2eQWSZJat64xnAQAAABAoqMMppBmP6QqN48yCAAAAOCQKIMpZmOsp1q3rpbv+6ajAAAAAEhglMEU82GsSG5jnfzGnaajAAAAAEhglMEU89EkMm7NOsNJAAAAACQyymCK2eIWSrYjr2a96SgAAAAAEhhlMMXE5ChUMkBuNWcGAQAAABwYZTAFhXsPlluzQb7vmY4CAAAAIEFRBlNQRu+hUrRZ3q5tpqMAAAAASFCUwRQULhsiSfKquW8QAAAAwP5RBlNQsGcfKRBmRlEAAAAAB0QZTEGW7cgpHiCXM4MAAAAADoAymKLs4oHyajfKd2OmowAAAABIQJTBFOWUDJK8mLwdm0xHAQAAAJCAKIMpyikeKElyWXweAAAAwH5QBlOUldNTVkYui88DAAAA2C/KYIqyLKvtvkHODAIAAADYD8pgCnNKBsnbuVV+pNl0FAAAAAAJhjKYwpziQZJ8uds/NB0FAAAAQIKhDKYwu6RtEhmPxecBAAAAfAplMIXZGbmycouZRAYAAADAPiiDKc4pHsjyEgAAAAD2QRlMcU7JQPkNtfKad5uOAgAAACCBUAZTnF08SBL3DQIAAADYG2UwxTk9j5IsS241l4oCAAAA+BhlMMVZwQzZBX24bxAAAADAXiiDacApHiivep183zcdBQAAAECCoAymAbt4kPzWBvn1NaajAAAAAEgQlME04OxZfJ5LRQEAAAB8hDKYBuzCvpITYPF5AAAAAO0og2nAsgOyi46Sx5lBAAAAAHtQBtOEUzJI7vYN8j3XdBQAAAAACYAymCac4oFSLCKvbqvpKAAAAAASAGUwTTjFgySJ+wYBAAAASKIMpg2rR4kUypJHGQQAAAAgymDasCxbTq/BcqvWmI4CAAAAIAFQBtOI02uovJ1b5Lc2mo4CAAAAwDDKYBpxSodKEmcHAQAAAFAG04lTPEiyHLnbVpuOAgAAAMAwymAasYJh2T37y62iDAIAAADpjjKYZpxeQ+VWr5PvxkxHAQAAAGAQZTDNOKVDJTcqr/ZD01EAAAAAGEQZTDPtk8hsW2U4CQAAAACTKINpxs7Kl5VbLHcbM4oCAAAA6YwymIac0qFyq1bL933TUQAAAAAYQhlMQ06vofKbd8vfXW06CgAAAABDKINpyCkdJkksMQEAAACkMcpgGrILyqRQFpPIAAAAAGmMMpiGLMuW02sIk8gAAAAAaYwymKac0qHy6rbKb2kwHQUAAACAAZTBNOX02rPeYBVnBwEAAIB0RBlMU07JQMl2uG8QAAAASFOUwTRlBcKyex7FmUEAAAAgTVEG05jTa6jcmnXy3ajpKAAAAAC6GWUwjTmlQyU3Jm/7h6ajAAAAAOhmAdMB0PUiUVfFxbmHHBfLPEEb/y5l1H+o/GNP6PD+W1pjqt/dfCQRAQAAABhGGUxBoaCjSTfN69DYW3vkaukz/9TvH7c6vP/5d09W/eGGAwAAAJAQuEw0za2LlWhgoEaSbzoKAAAAgG5EGUxz62PFyrVbVGxzrg8AAABIJ5TBNLcuWiJJGhSoNpwEAAAAQHeiDKa5aq+HGr2QBgUpgwAAAEA6oQymOV+W1sdKNJAzgwAAAEBaoQxC62PF6uXsVrbVYjoKAAAAgG5CGYTWxdruG2ybVRQAAABAOqAMQhtjPRXzbSaRAQAAANIIZRCKydGmWBH3DQIAAABpxFgZXL9+vaZMmaKJEydqypQp2rBhw37HPf3005o0aZIqKio0adIkbd++vXuDpol1sWL1D9QqINd0FAAAAADdwFgZnD59uqZOnapnn31WU6dO1W233bbPmGXLlum+++7TQw89pAULFujRRx9Vbm6ugbSpb32sRAHLU/8AZRsAAABIB0bKYG1trVasWKGKigpJUkVFhVasWKEdO3bsNe4Pf/iDvvrVr6q4uFiSlJubq3A43O1508HaPZPIDA5UGU4CAAAAoDsYKYOVlZXq1auXHMeRJDmOo5KSElVWVu41bu3atdq0aZMuu+wyXXLJJbr//vvl+76JyCmvyc/Q5liBhgW3mY4CAAAAoBsETAc4GNd1tXLlSj388MOKRCK6+uqr1bt3b1188cUd3kdRUU78AqaY1bFSnRleqYBcxeQcdGxxMZfrJjL++yCeOL4QbxxjiCeOL8RTsh1fRspgWVmZqqqq5LquHMeR67qqrq5WWVnZXuN69+6t8847T6FQSKFQSOPHj9fSpUs7VQZraxvkeYl1NjFRD5LV0VJ9NuN9DQjUaE2s9KBja2rquykVOqu4OJf/Pogbji/EG8cY4onjC/GUiMeXbVsHPTlm5DLRoqIiDR8+XAsWLJAkLViwQMOHD1dhYeFe4yoqKrR48WL5vq9oNKpXX31VRx99tInIaWFtrJc839JQLhUFAAAAUp6x2URvv/12zZkzRxMnTtScOXM0Y8YMSdK0adO0bNkySdKFF16ooqIiXXDBBbr44os1ZMgQfeELXzAVOeW1+CFtdIs0NEAZBAAAAFKdsXsGBw8erLlz5+7z/KxZs9of27at733ve/re977XndHS2ppoL52d8b5CiiqioOk4AAAAAOLE2JlBJKZV0TIFLE8DAzWmowAAAACII8og9rI+VqyYb2tYsPLQgwEAAAAkLcog9hJRUB/GejKJDAAAAJDiKIPYx+pYqfo5O5RhRUxHAQAAABAnlEHsY3W0VLbla3CgynQUAAAAAHFCGcQ+NsSKFfVtLhUFAAAAUhhlEPuIydH6WAnrDQIAAAApjDKI/VoVLVXfwE5lWS2mowAAAACIA8og9mt1rFSSNJT7BgEAAICURBnEfm2M9VSrH+C+QQAAACBFUQaxX55srY2WUAYBAACAFEUZxAGtjpWq1NmlPKvJdBQAAAAAXYwyiANaHW27b3BIkPsGAQAAgFRDGcQBbXYL1eQFNTRQaToKAAAAgC5GGcQB+bK1NtZLQzkzCAAAAKQcyiAOanW0TMVOvQrsBtNRAAAAAHShQEcH1tbW6qWXXtLKlSu1e/du5eXlqby8XGeccYaKi4vjmREGrWpfb3CbXo8MMZwGAAAAQFc55JnBtWvX6vrrr9cFF1ygp556StFoVD179lQ0GtVTTz2liooKXX/99VqzZk135EU32+bmq8ELs8QEAAAAkGIOeWbwlltu0VVXXaWf/exnCoVC+7weiUT0/PPP6wc/+IEee+yxuISEOb4srY6WamhgmyRfkmU6EgAAAIAucMgyOHfu3IO+HgqFdP755+v888/vslBILKtjpToh/KF62vXa7uWZjgMAAACgC3DPIA7po/UGhwa3aXsrZRAAAABIBdwziEOq9vK0y8vcc6koAAAAgFTAPYPogLb7BsuDlbLkmw4DAAAAoAt06p7BWCymQGDvTbhnMD2sjJbppPB69XZ2mo4CAAAAoAt0atH5adOmqbGxMV5ZkMA+iPaWJA0PbjGcBAAAAEBX6FQZPProo3XppZeqqqqq/bk33nhDU6dO7fJgSCy7/SxtjhVoeHCr6SgAAAAAukCnyuDNN9+sSy+9VJdeeqkWLlyor3zlK/rWt76lCRMmxCsfEsj70T4aGKiW18LZYQAAACDZdaoMStIJJ5ygnJwcfec731Fpaamef/55ffWrX41HNiSY96N95Fi+mjcsMx0FAAAAwBHqVBn8xje+ocsvv1znnnuu7r33Xi1evFivvvpqvLIhwayPFavZC6pp7TumowAAAAA4Qh1edF6SBgwYoJ/85CfKz8+XJPXr10/XXnuttmzZossuuywe+ZBAPNlaFStTztp3lHnyZbIsy3QkAAAAAIepU2cG//u//7u9CEpSeXm5/vSnP+nPf/5zV+dCgloR7SO3vlbeTmYVBQAAAJJZp+8Z/LRevXrpkUce6YosSALvR9qWmHA3cd8gAAAAkMwOWQZnz56tSCRy0DGhUEizZ8/uslBIXLv8bAWL+yu2aanpKAAAAACOwCHvGdy+fbvOOeccjR07VieffLIGDhyo7OxsNTY2asOGDXr99df14osvavLkyd2RFwkga/Dx2vX6QvnRFlnBDNNxAAAAAByGQ5bBb3/727ryyiv117/+VY8//rhWrVql+vp65eXlqby8XGPHjtWNN96ogoKC7siLBJA1eLR2vfqU3C3vKzDgBNNxAAAAAByGDs0mWlhYqKuuukqXXnqpsrKy4p0JCS6j79FSIKzY5mWUQQAAACBJdWoCmXPPPVePPPKIXNeNVx4kASsQVKDPMYptWirf903HAQAAAHAYOlUGH3roIb300ks677zztHDhwnhlQhJw+o2UX79d/q5tpqMAAAAAOAydKoPDhg3Tgw8+qJ/+9KeaPXu2LrnkEi1evDhe2ZDAAv1GShKzigIAAABJ6rDWGTz55JP12GOP6dprr9X06dN1xRVXaOlSSkE6sXOLZeeXKcZ6gwAAAEBS6tAEMh/Zvn27li9frhUrVmjFihVavny5ampqlJ+frxtuuEGjR4/WD3/4Q+Xn58cpLhKJ03ekou+/ID/WKisQNh0HAAAAQCd06szgZz7zGf3sZz/Txo0bNWbMGN1zzz1666239MQTT2jRokXq27evrrvuunhlRYIJ9B8luTG5W1eajgIAAACgkzp1ZvDNN9884NISwWBQN954o0466aQuCYbE55QOk5yQYpuWthVDAAAAAEmjU2cGO7LG4OzZsw87DJKLFQjJ6X20Ypu5bxAAAABINocsg7Nnz1YkEjnomEgk0l4CjznmmK5JhqQQ6DdS/q4qeburTUcBAAAA0AmHvEx0+/btOuecczR27FidfPLJGjhwoLKzs9XY2KgNGzbo9ddf14svvqjJkyd3R14kmEC/UWrVI4ptWqrQiAmm4wAAAADooEOWwW9/+9u68sor9de//lWPP/64Vq1apfr6euXl5am8vFxjx47VjTfeqIKCgu7IiwRj9+glK69EsU3LKIMAAABAEunQBDKFhYW66qqr9LnPfY7Sh30E+o1UdOVL8mMRWYGQ6TgAAAAAOqBTs4meddZZKigo0LBhwzRs2DANHTq0/XM4zDpz6SrQb6Siy5+Xu22VAn2PNR0HAAAAQAd0qgx+//vf17x583TiiSeqrq5O999/v7Zs2SLbttW3b1+Vl5dr6NChrDWYZpyy4ZITUGzTMsogAAAAkCQ6VQbvu+8+LVq0SDk5OZKk7373u5oxY4bKy8s1cOBArV27VmvXro1LUCQuKxiW03u4Yh++I3/Ml2VZlulIAAAAAA6hU2VQ0l7LTAQCAX3nO9/RlClT9Mwzz+iMM87o0nBIHoGjRqt18R/l7dwqp7CP6TgAAAAADqFTi85fccUV+uY3v6nKysr25+rr61VTU9PlwZBcAgNOkCTFNrxlOAkAAACAjujUmcFrrrlGkUhEFRUVGjJkiAoKCvTOO++ooqIiXvmQJOysfNklgxXb8LbCoy8yHQcAAADAIXSqDFqWpeuuu06XXXaZXn31Ve3cuVNXXHGFTjvttHjlQxIJDBityOtz5TXUys4pMh0HAAAAwEF0+p5BqW3dwQsuuKCrsyDJBfeUwdiGdxQ6lgXoAQAAgETWqXsGgYOx88tk5/dW7MO3TUcBAAAAcAiUQXSpwIDRcrd+IL+lwXQUAAAAAAdBGUSXCgwYLfmeYhvfNR0FAAAAwEEc1j2DSG+RqKvi4tz9vub3HKmNzxXKrlyq4jPO6/S+W1pjqt/dfKQRAQAAABwCZRCdFgo6mnTTvAO+/oWsYp1S/5a+ftMTinbyEJt/92TVH2lAAAAAAIfEZaLocssi/RS2YioPVpqOAgAAAOAAKIPocmtivdTkBTUytNF0FAAAAAAHQBlEl3PlaEW0r44NbpYtz3QcAAAAAPtBGURcLIv0U47dqoGBGtNRAAAAAOwHZRBx8X60j6K+rVFcKgoAAAAkJMog4qJVQa2KlmlkcJMk33QcAAAAAJ9CGUTcLI32V5HToN7OTtNRAAAAAHwKZRBxszzSV54vjQpuMh0FAAAAwKdQBhE39X6mNsSKWWICAAAASECUQcTV0mh/9Q3sVKFdbzoKAAAAgE+gDCKulkX6SdKeiWQAAAAAJArKIOJqu5enrbF8jQxRBgEAAIBEQhlE3C2L9tPgQLWyrRbTUQAAAADsQRlE3C2N9Jdt+VwqCgAAACQQyiDibrNbqBo3V6PDG0xHAQAAALAHZRDdwNLbkQEaGtimXKvZdBgAAAAAogyim7wdGSjb8nV8aIPpKAAAAABEGUQ32ebma2ssXydSBgEAAICEQBlEt3krMlADgzUqtBtMRwEAAADSHmUQ3eadyABJ0gmcHQQAAACMowyi29R6udoQ66nRofWmowAAAABpjzKIbvV260D1DexUL7vOdBQAAAAgrVEG0a3eiRwlz7dYcxAAAAAwjDKIbrXbz9KaWK89l4r6puMAAAAAaYsyiG73dmSASpx69XV2mI4CAAAApC3KILrdu5GjFPNtnchEMgAAAIAxlEF0uyY/rA+ivXVCaIMsLhUFAAAAjKAMwoi3IwNU4DRpYKDadBQAAAAgLVEGYcSySD9FfIdLRQEAAABDKIMwIqKg3ov01fGhD2XLMx0HAAAASDuUQRjzdmSgcuxWDQtWmo4CAAAApB3KIIxZEe2jJi+o0aENpqMAAAAAaYcyCGNcOVoW7a9RwY0KyDUdBwAAAEgrlEEY9VbrQGXaUR0T3Gw6CgAAAJBWjJXB9evXa8qUKZo4caKmTJmiDRs2HHDsunXrdNxxx2nmzJndFxDdYnWsVPVehkaHN5iOAgAAAKQVY2Vw+vTpmjp1qp599llNnTpVt912237Hua6r6dOna8KECd2cEN3Bk613IkdpRHCzMqyI6TgAAABA2jBSBmtra7VixQpVVFRIkioqKrRixQrt2LFjn7G//e1vdfbZZ2vAgAHdnBLd5Y3WwQpZrk5gIhkAAACg2wRMvGllZaV69eolx3EkSY7jqKSkRJWVlSosLGwf98EHH2jx4sWaPXu27r///sN6r6KinC7JjPjZ6BapMpavMeE1kqTi4lzDiZIfP0PEE8cX4o1jDPHE8YV4Srbjy0gZ7IhoNKof/vCH+p//+Z/20ng4amsb5Hl+FyY7csl2kMSfpVcjQ3RJ1puK1GzULhWYDpTUiotzVVNTbzoGUhTHF+KNYwzxxPGFeErE48u2rYOeHDNSBsvKylRVVSXXdeU4jlzXVXV1tcrKytrH1NTUaOPGjbrmmmskSbt375bv+2poaNCPf/xjE7ERR2+2DtRFmW+p/t1/SMd9znQcAAAAIOUZKYNFRUUaPny4FixYoMmTJ2vBggUaPnz4XpeI9u7dW6+99lr71/fee6+ampp08803m4iMOGvwM/VetJ9OWPZPZY28SJadsCetAQAAgJRgbDbR22+/XXPmzNHEiRM1Z84czZgxQ5I0bdo0LVu2zFQsGPRq6xB5TbsV2/iu6SgAAABAyjN2+mXw4MGaO3fuPs/PmjVrv+Ovu+66eEeCYR9Ee8vJKVD0gxcVHHCi6TgAAABASjN2ZhD4NE+2ckedLXfTUnmNO03HAQAAAFIaZRAJJWfUOMn3FV39b9NRAAAAgJRGGURCCRX1llM6TNGVL8n3E2tJEAAAACCVUAaRcILlZ8nftU1u1RrTUQAAAICURRlEwgkMOlkKZij6wYumowAAAAApizKIhGMFMxQcdIpi616XH2k2HQcAAABISZRBJKRg+VlSrFWxdW+YjgIAAACkJMogEpLda4js/DJFV75kOgoAAACQkiiDSEiWZSlYfpbcqtXy6ipNxwEAAABSDmUQCSsw9HTJsjk7CAAAAMQBZRAJy87KV6D/cYquelm+55qOAwAAAKQUyiASWqD8LPnNu+RuWmo6CgAAAJBSKINIaIH+o2Rl5rHmIAAAANDFKINIaJYdULD8M4ptXCKvfrvpOAAAAEDKoAwi4QWP+awkKbriBcNJAAAAgNRBGUTCs3OKFDhqtCIf/Et+LGI6DgAAAJASKINICsFjJ0itjYqtedV0FAAAACAlUAaRFJyyo2UX9FVk+XPyfd90HAAAACDpUQaRFCzLUnDEeHm1G+VWrTEdBwAAAEh6lEEkjeDQ06VQpqLv/d10FAAAACDpUQaRNKxguG2ZifVvyWvcaToOAAAAkNQog0gqoRHjJd9T9P1/mo4CAAAAJDXKIJKKnVcip/8oRd//h3w3ZjoOAAAAkLQog0g6oRHj5TfvVmz9G6ajAAAAAEmLMoik4/Q9VlaPXoq895zpKAAAAEDSogwi6ViWrdAx4+VVr5Vbs950HAAAACApUQaRlILlZ0qBsCLLOTsIAAAAHA7KIJKSFcpScNgZiq19TV7zbtNxAAAAgKRDGUTSCo4YL7kxRT940XQUAAAAIOlQBpG0nII+cvoco+iKF+R7ruk4AAAAQFKhDCKpBUeMl9+4Q7ENb5uOAgAAACQVyiCSWqD/CbLyShR592n5vm86DgAAAJA0KINIapZtKzTqfHk16+Vufd90HAAAACBpUAaR9ILDzpCVmafIkoWmowAAAABJgzKIpGcFQgqOnCh3y3K5NRtMxwEAAACSAmUQKSF0zDgplKnIu5wdBAAAADqCMoiUYIUyFTpmvGLr3pS3a5vpOAAAAEDCowwiZQSPPUdyHEXefdp0FAAAACDhBUwHAD4pEnVVXJx7mFvnavtx47V7yfMqO+c/FMgr2mdES2tM9bubjywkAAAAkAIog0gooaCjSTfNO+zti+ws3drD1cN33qOnmk/a5/X5d09W/ZEEBAAAAFIEl4kipdR6uXo7MkBnZKxSptVqOg4AAACQsCiDSDnPtxyrDCumM8MrTUcBAAAAEhZlEClnq1ug5ZE+GpvxgYKKmY4DAAAAJCTKIFLScy3HKtdu0anhNaajAAAAAAmJMoiUtC5WonXRYo3LWC5bnuk4AAAAQMKhDCJFWXquZaSKnEaNDm0wHQYAAABIOJRBpKwV0T7aGsvXhIz3ZMk3HQcAAABIKJRBpCxflp5rOVZlgTqNCm40HQcAAABIKJRBpLS3IwNUGeuhC7KWyOLeQQAAAKAdZRApzZetvzUfr1Jnl04KrTcdBwAAAEgYlEGkvKXR/toUK9R5me/Kd6Om4wAAAAAJgTKIlOfL0tPNx6un06D6JS+YjgMAAAAkBMog0sKKaB+tixZr5+LH5ccipuMAAAAAxlEGkSYsLWw+QW7DDkVXcHYQAAAAoAwibayJlSpz4ChFliyUH20xHQcAAAAwijKItFIwdqr8lnpFli0yHQUAAAAwijKItJLRZ6gCR52gyNK/yW9tNB0HAAAAMIYyiLQTOulzUqRFkXf/ZjoKAAAAYAxlEGnHKeqnwOBTFHnv7/Kad5uOAwAAABhBGURaCp94ieRGFXlngekoAAAAgBGUQaQlO79UwWFnKPr+C/IadpiOAwAAAHQ7yiDSVmj0ZMn3FXl7nukoAAAAQLejDCJt2bk9FTxmnKIrX5S7Y5PpOAAAAEC3ogwirYVHT5ZCWWr996Pyfd90HAAAAKDbUAaR1qyMHIVPvETu1vcV+/Bt03EAAACAbkMZRNoLHvNZ2QW91frqY/LdqOk4AAAAQLegDCLtWbaj8GlT5e+uVmTZ303HAQAAALoFZRCQFOh7rJz+xynyzlPymnaZjgMAAADEHWUQ2CNjzKVtC9G/8YTpKAAAAEDcUQaBPez8UgWPPUfRlS/J3f6h6TgAAABAXFEGgU8Ij75IVkaOWv/9CEtNAAAAIKVRBoFPsEJZCp38ebnbVim2/g3TcQAAAIC4oQwCnxIs/4zson5tS03EIqbjAAAAAHFBGQQ+xbLttqUmGmoVWfqM6TgAAABAXFAGgf0I9B6uwIATFVmyQF7jTtNxAAAAgC5HGQQOIDxmiuR7an3lT6ajAAAAAF2OMggcgJ1XotAJFym27nXFPlxiOg4AAADQpSiDwEGEjrtAdkEftSyeLT/SbDoOAAAA0GUCpgMA3SkSdVVcnNupbVou+oa2/vEHspfPV89zrzr42NaY6ndTGgEAAJD4KINIK6Ggo0k3zev0dp/PGqYzX39atz/n60O3+IDj5t89WfVHEhAAAADoJlwmCnTAgqYTtNvP0pezX5Etz3QcAAAA4IhRBoEOaFVIcxtPUe9AncZlLDcdBwAAADhilEGgg96L9teSSH+dl/muiu3dpuMAAAAAR4QyCHTCE42nKOo7+lL2q5J803EAAACAw0YZBDpht5+l+c0nalhwm04NrTEdBwAAADhslEGgk15pHaq10RJNznpLuRbLSAAAACA5UQaBTvJl6bHGMQpbMV2S9YbpOAAAAMBhoQwCh6HKy9ffm0fqxPAGjQpuNB0HAAAA6DTKIHCY/t5yrDbFCjUl+xXlWU2m4wAAAACdQhkEDpMrR7MbzlLIimlq9r/F7KIAAABIJpRB4AhUez00r+lEDQ9t1VnhlabjAAAAAB1GGQSO0OLWcq2I9NFFWW8pUrPJdBwAAACgQyiDwBGz9Gjj6Yr4AVXP+6V8N2Y6EAAAAHBIlEGgC9T7mfpT42mKVK1X5M2/mI4DAAAAHJKxMrh+/XpNmTJFEydO1JQpU7Rhw4Z9xvz617/WhRdeqEmTJulzn/ucXnrppe4PCnTQe9H+yj1+giLv/k2xrR+YjgMAAAAclLEyOH36dE2dOlXPPvuspk6dqttuu22fMaNGjdLjjz+u+fPn66c//aluvPFGtbS0GEgLdEzROVfKyitRyz9nyW9tNB0HAAAAOCAjZbC2tlYrVqxQRUWFJKmiokIrVqzQjh079hp31llnKTMzU5JUXl4u3/dVV1fX3XGBDrNDmcocd438xp1qeXmO6TgAAADAARkpg5WVlerVq5ccx5EkOY6jkpISVVZWHnCbJ598Uv3791dpaWl3xQQOi1MyWKHRkxVb84qia141HQcAAADYr4DpAB3x+uuv65e//KUeeuihTm9bVJQTh0TAgRUX58o/91Jt3bZcrS/PVnH5CAULe3d7BiBeOL4QbxxjiCeOL8RTsh1fRspgWVmZqqqq5LquHMeR67qqrq5WWVnZPmPfeecd/fd//7fuv/9+DRo0qNPvVVvbIM/zuyJ2l0m2gwSdU1NTL0kKfOYatf5lurb830xlXfxDWcFwt7x/cXFuewagq3F8Id44xhBPHF+Ip0Q8vmzbOujJMSOXiRYVFWn48OFasGCBJGnBggUaPny4CgsL9xq3dOlS3XjjjfrVr36lESNGmIgKHDY7t6cyx18rb+cWtbz0B/l+Yv2jBAAAANKbsdlEb7/9ds2ZM0cTJ07UnDlzNGPGDEnStGnTtGzZMknSjBkz1NLSottuu02TJ0/W5MmTtXLlSlORgU4L9D1WoZMubrt/cMXzpuMAAAAA7YzdMzh48GDNnTt3n+dnzZrV/viJJ57ozkjAEYtE3X0uA/bPnaqquo1qeuX/VDTkGGX0LT/s/be0xlS/u/lIYwIAAADJMYEMkCxCQUeTbpq3z/OZ1hB9J2+l6h6+Q3ftulANfuZh7X/+3ZOVWFeiAwAAIFkZu0wUSCfNflgPNYxVltWqK3Jeki3PdCQAAACkOcog0E22uEV6vPFUDQtu04WZ75iOAwAAgDRHGQS60WuRIfp3y1BNyFyukcGNpuMAAAAgjVEGgW72RNMp2hgr0mXZL6vY3m06DgAAANIUZRDoZjE5eqhhrFzZmpb7grKsFtORAAAAkIYog4ABO70c/b7hbBXZDboq519y5JqOBAAAgDRDGQQMWRfrpUcbT9eQYJUuzX5Fkm86EgAAANII6wwCBr0VGaSipgZdmLVE291cPdNynOlIAAAASBOUQcCwRS0j1dOp1/lZ72q7l6s3I4NMRwIAAEAaoAwCxll6rHGMCu0GXZr9b+30srU21st0KAAAAKQ47hkEEoArR79vOFu1Xo6uyvmHSuxdpiMBAAAgxVEGgQTR7If1m/rx8mTra7nPK5slJwAAABBHlEEggdR6uZpV/1nl2c26OucfCipmOhIAAABSFGUQSDAfusV6pOEMDQjU6CusQQgAAIA4oQwCCWhJdID+3DRGI0JbdHn2YtnyTEcCAABAimE2USBBvdI6TGHFdEn2m4oooD81nm46EgAAAFIIZRBIYP9sPUZhK6oLst5VxA/I9yebjgQAAIAUwWWiQIJ7tmWUnm8eobMyVmrHP+bI933TkQAAAJACODMIJDxLTzWPVtiK6sxXnlQoais8+iLToQAAAJDkODMIJAVLjzedqpyRZyvy5l8UWfas6UAAAABIcpwZBJKEL0vFFV9XS0ODWl/5kxQIKzT8bNOxAAAAkKQ4MwgkEct2lDHuv+T0P06tL/1BkeXPmY4EAACAJEUZBJKM5QSUec43FRgwWq0vz1HrkgWmIwEAACAJUQaBJGQ5QWVM+LoCQ8Yo8vrjan39cWYZBQAAQKdwzyCQpCw7oIyzr1FrIEORJQvkx1oVPu1S07EAAACQJCiDQBKzbFvhs66QgmFFlz0rP9Ii//PXmY4FAACAJEAZBJKcZVkKj/myrGCGIm/PU/WTMVmnXyXL4X9vAAAAHBi/LQIpwLIshU+6RFYoQ42vPiansUmZE74hKxAyHQ0AAAAJiglkgBQSGnW+ep7/Nbkbl6r56Z/Ja6k3HQkAAAAJijIIpJi80ecqY/y1cmvWqenJO+Tt2mY6EgAAABIQZRBIQcHBpyjrwpulSJMan/yxYpUrTUcCAABAgqEMAinKKR2qrIt/KDsjV80L71R09b9NRwIAAEACYQIZIIlEoq6Ki3MPOa59THGu3KtmquqJO9Xyj98qM7ZL+Wd9UZZl7Xe7ltaY6nc3d2VkAAAAJCjKIJBEQkFHk26a1+ntHB2vKdktOvWlx7TouTf0p8bT5MrZZ9z8uyeLKWcAAADSA2UQSAOuHD3aeLpq3FxVZC1Rgd2ohxrGqtHPMB0NAAAAhnDPIJA2LP29ZZT+2HCWjgrU6L/zFqi/s910KAAAABhCGQTSzNuRgbpn9/nyZOuGvGd0RnilJN90LAAAAHQzyiCQhja7RfrZ7gu1MlqmL2W/psuyX1ZQMdOxAAAA0I24ZxBIU01+WLMaxumcjGU6P3OJ+jo7FN1xmqRDz1YKAACA5MeZQSCN+bK0qGWUftMwXj3sJm1+6GZFN7xtOhYAAAC6AWUQgD6I9tFduysUKixTy6JfqfW1P8t3uWwUAAAglVEGAUiSdno5KvvPOxQcfrYi7z6tpnl3yK3bajoWAAAA4oQyCKCdHQgp46wrlXHON+XXb1fTE7crsvx5+T6zjQIAAKQayiCAfQQHnqSsL94hp2yYWl/+f2p+5hfymupMxwIAAEAXogwC2C87K1+Z59+k8On/IXfr+2p6/IeKbnjLdCwAAAB0EcoggAOyLEuhYyco63MzZGUXqmXRvWr51+/lR5pNRwMAAMARogwCOCSnoLeyLv6hQsdXKLpysRofv1Wxje+ajgUAAIAjQBkE0CGWE1D4lC8o86LvywqE1fzML9T8/APymnaZjgYAAIDDQBkE0CmB0qHK+vwMhU68RLH1b6nxz99T5IN/MeMoAABAkqEMAug0ywkqfOJkZX3hR3IK+6r1xYfVvGCmvLptpqMBAACggwKmAwBIHJGoq+Li3I5vUFwuf8hPVL/kBe14Ybaanvih8s/8gvLHTJYVCO41tKU1pvrdTDwDAACQKCiDANqFgo4m3TTvsLbNtS7Q57Je1+h//UmrXligJ5tO1HvRfpIsSdL8uyervguzAgAA4MhwmSiALlHvZ+qPjWP1QP14ubI1Lfef+nru31Xm7DQdDQAAAPvBmUEAXeqDaB/N3FWmM8KrdH7mEn03b4H+3TpUbuPZ4t+fAAAAEge/mQHocp5svdR6tO7YdYleai3XaeHV2vTANxVZ+ox8N2Y6HgAAAEQZBBBHTX5Yf2k6RTN3TVK4T7laX/0/Nc79gaJrXpXve6bjAQAApDXKIIC4q/LyVXbprco870ZZTlAtLzyopsdvU3TDW6xPCAAAYAj3DALoNoH+x8npN1Kxta+r9a2/qmXRvbKLByp88ufl9Bkhy7JMRwQAAEgblEEA3cqybAWHjFFg0MmKrf63Wt96Us1P/0xO6TCFTv68AmXlpiMCAACkBcogACMs21Gw/CwFhoxR9IN/KfL2fDXP/x85fY5R6PgKOb2Hc6YQAAAgjiiDALpFJOqquDh3/y+WXiLvjAu0+61ntevVeWpeeKfCZYPV4/RLlD3sFFm2c8j9t7TGVL+7uYtTAwAApC7KIIBuEQo6mnTTvEOOC+hCnRxeq/Gbl6v1iZ+pys3TC80j9EZkkFwduBTOv3uy6rsyMAAAQIqjDAJIKDE5eqV1mF5tHaLjghs1IfM9XZrzis73luifLcfoldahavFDpmMCAAAkPcoggITky9aS6AAtiR6lYYFKTch8TxdnvaXzM9/VG62D9FLr0drm5puOCQAAkLQogwASnKVVsd5aVd9bfZ1afSbjA50aXqMzM1ZpVbRUL7UcrfeifU2HBAAASDqUQQBJY7NbpEcbz9C8phM1JrxGZ4ZX6qrcf2qHm626f/vy+o2RnXGASWoAAACwF8oggKTT6Gfo+ZZj9Y+WYzQiuFlnZXygwn88ItmPKTBgtILlZ7UtYm/bpqMCAAAkLMoggKTlydayaH8ti/bXE7eMVtW/Fyq2+hXF1r0uK7tQwWFnKFh+luy8EtNRAQAAEg5lEEBKCBX3U8bpl8k/9UuKfbhE0ZUvKbJkgSLvzJdTVq5g+WcUGHiSrGDYdFQAAICEQBkEkFIsJ6jgoJMVHHSyvIYdiq5+WdGVL6nln7OkxbMVOOoEBYecKqfvSFkOfwQCAID0xW9CAFKWnVOo8AmTFDq+Qu62VYqtfkXR9W8otvZVKZSl4MCTFBgyRk7Z0dxfCAAA0g5lEEDKsyxLgbJyBcrKFT7zP+RuXq7omlcVXfe6oitflJWZp8CgUxQYdLKcXkMphgAAIC1QBgGkFcsOKND/OAX6Hyc/FlFs47uKrX1N0Q/+qejy52Rl5Mrpf7yCA0bL6TtCViBkOjIAAEBcUAYBpIRI1FVx8WGsMVg2Tjp1nLzWZjWtW6KmVa+rafWbal71kqxgWJmDjlf2sFPk9D9OjVH+yAQAAKmD32wApIRQ0NGkm+Z1wZ4GyFE/DQ5UaWRok0a9v0z5K1+TLFt2ySAF+o1UoN8o2T2PkmVxOSkAAEhelEEA+BRXjlbFemtVrLeeaDpF/Zxa3XFhlnavfEuRN59U5M2/tl1O2vdYBfqNlNP3WNmZeaZjAwAAdAplEAAOytImt6cKx06We0yFvObdcje/p9imZW2f17wiyZLds7+c3sMV6D1cTukwWaFM08EBAAAOijIIAJ1gZ+bJHnq6gkNPl+978rZ/qNimpXK3rFD0vecUXfpM2yWlxQPbimHv4XJKh8gKsNg9AABILJRBAOiAA05QUzJKOmaUJMmLtqp180o1b1im5g+Xq3Xp36QlCyQnoHDpYGX0O1oZfY9WRt9yOdk99tpNS2tM9bubu+NbAQAAkEQZBIAO6dwENTmSTlVYozUoWK2hgW0atKFa/TbPV8Bq20eVm6f1sWKtj5ZoXaxEv7vzP1Qft/QAAAD7ogwCQJy0Kqj3o330frSPJCkgV/0D2zUwUKOBgWqNDG7SmPBaSdKHd/9dVs8BcooHyi4eJKd4oKzsAlmWZfJbAAAAKYwyCADdJCZH62K9tC7WS5JkyVeJvUsDAzW65oRcNW5aqci7z0i+2/Z6Zg85JYNkFw+QU3SU7KL+FEQAANBlKIMAYIgvS1Vevqoi+frBBZOlmnr5sYi82o1ya9bLrV4nr2a9Yh++076NlZEru6i/7KJ+cor6y+55lOwepbJsx+B3AgAAkhFlEAASiBUIyek1RE6vIe3P+ZFmuTs2y6v9UN72jXJrN7bNXOrF2gbYAdn5ZbIL+8gu6CunoI/swj6ycnvKsmxD3wkAAEh0lEEASHBWKFOB0qFS6dD253wvJq+uUt72jfJ2bpG7Y7PcbasVW/PqxxsGQrLze7cVxfaPUtl5vWQFQga+EwAAkEgogwCQAA64dMXB9CqQyo/Z6ymvtUmR7ZsVqd6oyPZNitZsVKR6tSJrXvnEKEtWbs+2ctijVHZeieweJbLzStrOJtr81QAAQDrgb3wASACdW7qiowr3fByvef8zUdVr17SdTayrlLdrm7y6SkUrP5BikY83sWxZOUVtBTGvRHZesazcYtm5PWXl9pTv53RxRgAAYAplEADSQMwKqnT4sZKO3et53/flNtYptnObojsqFd1ZpejOSsV2Vim6/g1FWxr2Gr8hlKFAjxIFexQrkF+iQF5P+VkFarFzZecUysrKZzIbAACSBGUQANJAx888ZkkavOdDyrQiKrAbVGQ3qNBuUGFLowobGlRYuU5F9lJl2tG9N7csWVkFsnIKZWe3lUM7u0BWdv7Hj7MKZAXDXf0tAgCATqIMAgAOqNkPqdkt1Fa3cL+vhxXRH79zsqymnYrt3v6Jj1q5dZsV27RUfrRln+2scJYCOflysgvk5OTLyc7f8/Wej5x8OVk95GTnqTVmqX53c7y/VQAA0g5lEABw2FoVUnbZAE266d09z2RJ6r/no01YUfWwmz7x0aweLU3K292sXLtGefZG5Vot+55l3MMOZ8kP58rKzJWdkSsrM09WRq6sjJw9n7NlhXPan1MokyU1AADoAMogACCuWhVUtddD1V6Pg44LKqZcu1l5dovyrGZl2y3KtVp06cm91bSjVn7zbnn1NfKr18pvaZB8b/87smxZ4WwpnC0rnNVWFPd6nNX2eihLViir7es9nxXMoEgCANIGZRAAkBCiCmiHl6sd3t5LbHztsxXqGdx7Uhrf9+S1Nstr2i23uV5ec73cpvq2x0275bY0yGtplNfcILe5QV59VftzB2dJoYy2chjMlBXKbDvTGGx7TqGMtueDGXset31oz2crlLnncVhyQrIsq4t/SgAAdB3KIAAgoXV+2Y2cPR/7suQp04oo04ru+RzR9P8cJSvaLK+1sa1AtjTJizTJa22W39okr7VJXuP2ts+RZvnR1g7msGSFwrKCGfKdsKxgSFYgQwqE2spiICQr8InPwbCsQKitRAZCe54PfWJcUJaz52snKAWCkhPkTCYA4LAZK4Pr16/XLbfcorq6OuXn52vmzJkaMGDAXmNc19Udd9yhl156SZZl6ZprrtEXv/hFM4EBAEnPl60mP0NNfkb7cz1GnP6Jspm15+PAbHkKWzGFrajCiirDiipsRZXx0XNWVCEr1jamJaqKU/vIirXKi7TIi7bIj7TIb6qXF2mVF2378KOtB77s9VCcQFspdEJ7CmNbSWx77qPXPnou0Pac/dHj4J7tA7LsTz4OfOpxULKdPds6kr3nedtpG2c7bUuKfPSc7XBWFACSgLEyOH36dE2dOlWTJ0/WvHnzdNttt2n27Nl7jZk/f742btyoRYsWqa6uThdffLFOO+009e3b11BqAEC682S3zbLqhzo0/qqKyR04s+nLkaeQFVNQrkJWTCHLVVAxBa09XyumgOW2fS1XAcvVZRMGyfZj8qMR+bGIfDfa9jkWk+9G5Mei8mOt8iP1bY/dqLxYVL4b2zM2evgl9FA+KohOQNZej+09BdORbznyfGtPebQl21FlRkiRqL+nXDrSnudl27Ksj762P37NstvGWtYnxttt+7PatpNlfTz2o+2tT35Yn9jmU89/tD+1jdFHnz/5umXJkv3x6594fu8x+3lN+35NkQbQXYyUwdraWq1YsUIPP/ywJKmiokI//vGPtWPHDhUWfjx9+dNPP60vfvGLsm1bhYWFmjBhgp555hldffXVHX4v207MP1BLCjLZv4F9s3+z+0/m7Ozf3L7Tdf+xPR8HW1Sj+LPn6qo7Fh1uLEmStaeIBixPjjw5lidHrhx5+tG0U/ST3/1bAcuTLV+O5cmWK0e+AvJkt4/35MiXbX3yObWNtXzZvifH9WV7e/azZ8zxQ4pk+Z7ku/I9T/I8+b6rkO1Jnivfj0quKz+25zXPbSuv/p6v3bavPd+XPFeSf0Q/i8TxyaL40eP9P/9xwdSnxn/0oU9s8/HjtuH23tt9NOaj99Kn31v7f26ffB99+YkMe2XRp8Z8/Hp7EbYOst1+9/HJ5w78HtszAoq0xj7+/j69O+vTD6xPPX+Q72W/4z+1n0PZ3z4P+Y8Dn/rZHXTbTv5efLD3PuSuDjHgoN/Xkf7+Hsff/w+Su9U7TnagZ/ze+zAcqgtZvu93+5+c7733nm6++WYtXLiw/bkLLrhAd911l0aMGNH+3KRJk/STn/xEo0aNkiTNmjVLVVVVuvXWW7s7MgAAAACkFO46BwAAAIA0ZKQMlpWVqaqqSq7rSmqbKKa6ulplZWX7jNu6dWv715WVlSotLe3WrAAAAACQioyUwaKiIg0fPlwLFiyQJC1YsEDDhw/f635BSTrvvPM0d+5ceZ6nHTt26LnnntPEiRNNRAYAAACAlGLknkFJWrt2rW655Rbt3r1beXl5mjlzpgYNGqRp06bp+uuv18iRI+W6rn70ox/p5ZdfliRNmzZNU6ZMMREXAAAAAFKKsTIIAAAAADCHCWQAAAAAIA1RBgEAAAAgDVEGAQAAACANUQYBAAAAIA1RBrvR+vXrNWXKFE2cOFFTpkzRhg0bTEdCCtm5c6emTZumiRMnatKkSfrmN7+pHTt2mI6FFHTfffepvLxcq1atMh0FKaS1tVXTp0/Xueeeq0mTJumHP/yh6UhIIf/4xz908cUXa/Lkybrooou0aNEi05GQxGbOnKlx48bt83dhMv6uTxnsRtOnT9fUqVP17LPPaurUqbrttttMR0IKsSxLV199tZ599lnNnz9f/fr1089+9jPTsZBili9friVLlqhPnz6moyDF3HXXXQqHw+1/ht1www2mIyFF+L6v7373u7rzzjs1b9483Xnnnbr55pvleZ7paEhS48eP1yOPPLLP34XJ+Ls+ZbCb1NbWasWKFaqoqJAkVVRUaMWKFZy5QZfJz8/Xqaee2v718ccfr61btxpMhFQTiUT0ox/9SLfffrvpKEgxjY2NevLJJ3XDDTfIsixJUs+ePQ2nQiqxbVv19fWSpPr6epWUlMi2+TUYh+ekk05SWVnZXs8l6+/6AdMB0kVlZaV69eolx3EkSY7jqKSkRJWVlSosLDScDqnG8zz96U9/0rhx40xHQQr55S9/qYsuukh9+/Y1HQUpZtOmTcrPz9d9992n1157TdnZ2brhhht00kknmY6GFGBZlu655x59/etfV1ZWlhobG/Xb3/7WdCykmGT9XZ9/EgFS0I9//GNlZWXpP/7jP0xHQYp455139N5772nq1KmmoyAFua6rTZs26ZhjjtFf/vIXfec739F1112nhoYG09GQAmKxmH7zm9/o/vvv1z/+8Q898MAD+ta3vqXGxkbT0QDjKIPdpKysTFVVVXJdV1LbX3zV1dX7nGIGjtTMmTP14Ycf6p577uESGHSZN954Q2vXrtX48eM1btw4bdu2TVdddZUWL15sOhpSQFlZmQKBQPvlVccdd5wKCgq0fv16w8mQCt5//31VV1frxBNPlCSdeOKJyszM1Nq1aw0nQypJ1t/1+U2xmxQVFWn48OFasGCBJGnBggUaPnx4Qp82RvL5+c9/rvfee0+//vWvFQqFTMdBCrnmmmu0ePFivfDCC3rhhRdUWlqq3//+9zrzzDNNR0MKKCws1KmnnqqXX35ZUtuMfLW1tTrqqKMMJ0MqKC0t1bZt27Ru3TpJ0tq1a1VbW6v+/fsbToZUkqy/61u+7/umQ6SLtWvX6pZbbtHu3buVl5enmTNnatCgQaZjIUWsXr1aFRUVGjBggDIyMiRJffv21a9//WvDyZCKxo0bpwcffFDDhg0zHQUpYtOmTfr+97+vuro6BQIBfetb39LYsWNNx0KKeOqppzRr1qz2CYquv/56TZgwwXAqJKs77rhDixYt0vbt21VQUKD8/HwtXLgwKX/XpwwCAAAAQBriMlEAAAAASEOUQQAAAABIQ5RBAAAAAEhDlEEAAAAASEOUQQAAAABIQ5RBAAAAAEhDlEEAAAAASEOUQQAAutjdd9+tP/zhDx0a+4UvfEGrV6+ObyAAAPaDMggAQBfasWOHnnzySX35y1/u0PivfvWr+tWvfhXnVAAA7IsyCABAF/rLX/6isWPHKiMjo0Pjx48fr9dee001NTVxTgYAwN4ogwAAdEJjY6OGDx+u6urq9udWrVqlM888Uw0NDXrxxRd18skn77XNnXfeqa9//evtX8+cOVNXXHGFIpGIwuGwRowYocWLF3fb9wAAgCQFTAcAACCZZGdna9CgQVqxYoVKSkoktd0j+LWvfU05OTlatWqVBg4cuNc206ZN04QJE7RixQq9++67Wrx4sR599FGFQiFJ0uDBg/XBBx90+/cCAEhvlEEAADpp5MiRWr58uc4++2y98cYbWrNmje69915JUn19vbKzs/caX1BQoCuvvFI333yzGhoa9Oijjyo3N7f99ezs7L3ONAIA0B24TBQAgE4aOXKkVqxYIUm66667dMMNN7Sf5cvLy1NjY+M+2wwfPlyrVq3St7/9bZWVle31WmNjo/Ly8uIfHACAT6AMAgDQSR+VwWeffVatra2aNGlS+2vl5eXasGHDXuNXrlyp22+/XZdccomeeOKJffa3du1aHX300fGODQDAXiiDAAB00tFHH62amhrNnDlT3/72t2VZVvtrY8eO1RtvvNH+dVVVla699lrNmDFD06dP16pVq/Taa6+1v97a2qrly5fr9NNP79bvAQAAyiAAAJ0UCoU0bNgw9enTR2PHjt3rtcmTJ+tf//qXWlpa1NDQoGnTpunKK6/U+PHjlZmZqauuukq/+MUv2se/8MILOuWUU9SrV6/u/jYAAGnO8n3fNx0CAIBkEolEdO655+qee+7R8ccfv8/rP//5z1VYWKgrr7zykPv64he/qJ/85CcaNmxY1wcFAOAgKIMAAHTSL37xC23atEk///nPTUcBAOCwcZkoAAAdtHz5cp144ol64403dOutt5qOAwDAEeHMIAAAAACkIc4MAgAAAEAaogwCAAAAQBqiDAIAAABAGqIMAgAAAEAaogwCAAAAQBqiDAIAAABAGqIMAgAAAEAaogwCAAAAQBr6/3DwBkloq1zUAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# generate histogramm entries\n",
"x = np.random.random_sample(10000)\n",
"y = -np.log(1-x)\n",
"\n",
"# compute PDF\n",
"xplot = np.linspace(0, 10, 100)\n",
"yplot = np.exp(-xplot)\n",
"\n",
"# plot histogramm and pdf\n",
"plt.figure(figsize=(15,10))\n",
"plt.hist(y, bins = 30, density = True, label = 'histogram')\n",
"plt.plot(xplot, yplot, label = 'function')\n",
"\n",
"# make plot nice\n",
"plt.xlabel('$y(x)$')\n",
"plt.ylabel('$q(y(x))$')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### ii) Gegeben: $q(y)=\\frac{1}{y}$ – Gesucht: $y(x)$ für $y=1...2.75$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Antwort:\n",
"$$\n",
"\\begin{align*}\n",
"q(y)&=\\frac{1}{y} \\\\\n",
"x(y<2.75)&= \\int_1^y \\frac{1}{y}\\mathrm{d}y'=\\ln(y)-\\ln(1)\\\\\n",
"y(x)&=e^x\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 386,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# generate histogramm entries\n",
"x = np.random.random_sample(10000)\n",
"y = np.exp(x)\n",
"\n",
"# compute PDF\n",
"xplot = np.linspace(1, 2.75, 100)\n",
"yplot = 1 / xplot\n",
"\n",
"# plot histogramm and pdf\n",
"plt.figure(figsize=(15,10))\n",
"plt.hist(y, bins = 30, density = True, label = 'histogram')\n",
"plt.plot(xplot, yplot, label = 'function')\n",
"\n",
"# make plot nice\n",
"plt.xlabel('$y(x)$')\n",
"plt.ylabel('$q(y(x))$')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### iii) Gegeben: $y(x)=x^2$ – Gesucht: $q(y)$ für $y=0.01...1$ "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Antwort:\n",
"$$\n",
"\\begin{align*}\n",
"y(x)&=x^2 \\\\\n",
"x(y)&=\\sqrt{y} \\\\\n",
"q(y)&= \\frac{1}{2\\sqrt{y}}\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 387,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# generate histogramm entries\n",
"x = np.random.random_sample(10000)\n",
"y = x**2\n",
"\n",
"# compute PDF\n",
"xplot = np.linspace(0.01, 1, 100)\n",
"yplot = 1 / (2 * np.sqrt(xplot))\n",
"\n",
"# plot histogramm and pdf\n",
"plt.figure(figsize=(15,10))\n",
"plt.hist(y, bins = 100, density = True, label = 'histogram')\n",
"plt.plot(xplot, yplot, label = 'function')\n",
"\n",
"# make plot nice\n",
"plt.xlabel('$y(x)$')\n",
"plt.ylabel('$q(y(x))$')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### iv) Gegeben: $y(x)=\\tan(x)$ – Gesucht: $q(y)$ für $y=0..1.55$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Antwort:\n",
"$$\n",
"\\begin{align*}\n",
"y(x)&=\\tan(x) \\\\\n",
"x(y)&=\\arctan(y)\\\\\n",
"q(y)&=\\frac{1}{y^2+1}\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 388,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# generate histogramm entries\n",
"x = np.random.random_sample(10000)\n",
"y = np.tan(x)\n",
"\n",
"# compute PDF\n",
"xplot = np.linspace(0, 1.55, 100)\n",
"yplot = 1 / (xplot**2 + 1)\n",
"\n",
"# plot histogramm and pdf\n",
"plt.figure(figsize=(15,10))\n",
"plt.hist(y, bins = 20, density = True, label = 'histogram')\n",
"plt.plot(xplot, yplot, label = 'function')\n",
"\n",
"# make plot nice\n",
"plt.xlabel('$y(x)$')\n",
"plt.ylabel('$q(y(x))$')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## b) Erzeugung einer Normalverteilung\n",
"\n",
"In dieser Teilaufgabe erzeugen Sie eine Normalverteilung aus gleichverteilten Zufallszahlen. Dabei folgen Sie den Schritten der Vorlesung. <br>\n",
"Der Grundgedanke des Beispiels lässt sich selbstverständlich auf andere Verteilungen übertragen."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"i) Erzeugen Sie zwei gleichverteile Zufallszahlen im Intervall $u_1, u_2\\epsilon[0,1]$ mit jeweils 10'000 Einträgen."
]
},
{
"cell_type": "code",
"execution_count": 389,
"metadata": {},
"outputs": [],
"source": [
"[u1, u2] = np.random.random_sample((2, 10000))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ii) Transformieren Sie die Zufallszahlen $u_1, u_2$ gemäß $v_i=2u_1-1$. Auf diese Weise sind beide $v_i$ gleichförmig zwischen -1 und +1 verteilt."
]
},
{
"cell_type": "code",
"execution_count": 390,
"metadata": {},
"outputs": [],
"source": [
"[v1, v2] = [2*u1 - 1, 2*u2 - 1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"iii) Überprüfen Sie jedes Wertepaar und verwefen Sie das Paar, wenn $v^2=v_1^2+v_2^2>1$ ist. Auf diese Weise werden die $v_i$ auf die Einheitskreisfläche um den Ursprung beschränkt."
]
},
{
"cell_type": "code",
"execution_count": 391,
"metadata": {},
"outputs": [],
"source": [
"v = np.sqrt(v1**2 + v2**2)\n",
"passed = v <= 1\n",
"v = v[passed]\n",
"v1 = v1[passed]\n",
"v2 = v2[passed]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"iv) Berechnen Sie die nun normalverteilten Zufallszahlen gemäß\n",
"$$\n",
"z_i=\\sqrt{-2\\ln{v^2}}\\sigma\\frac{v_i}{v}+\\mu\n",
"$$\n",
"mit dem Mittelwert $\\mu=3$ und der Standardabweichung $\\sigma=2$.\n",
"\n",
"> Tutorium: Wie kommt dieser Ausdruck zustande?"
]
},
{
"cell_type": "code",
"execution_count": 392,
"metadata": {},
"outputs": [],
"source": [
"mu = 3\n",
"sigma = 2\n",
"\n",
"z1 = np.sqrt(-2*np.log(v**2)) * sigma * v1/v + mu\n",
"z2 = np.sqrt(-2*np.log(v**2)) * sigma * v2/v + mu"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Überprüfen Sie nun die so erhaltenen Zufallszahlen, indem Sie die Zahlen in einem normierten Histogramm mit der entsprechenden Wahrscheinlichkeitsdichte darstellen.<br>\n",
"Falls Sie bisher $z_1, z_2$ in zwei unterschiedlichen Arrays gespeichert haben, können sie mithilfe von _np.append(array1,array2)_ die Arrays zusammennehmen."
]
},
{
"cell_type": "code",
"execution_count": 393,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def fGauss(x, mu_N=0, sigma_N=1):\n",
" return (np.exp(-(x-mu_N)**2/2./sigma_N**2)/np.sqrt(2.*np.pi)/sigma_N)\n",
"\n",
"# append both sets\n",
"z = np.append(z1, z2)\n",
"\n",
"# generate scale for PDF plot\n",
"xplot = np.linspace(-5, 12, 100)\n",
"yplot = fGauss(xplot, mu, sigma)\n",
"\n",
"# plot histogram + PDF\n",
"plt.figure(figsize=(15,10))\n",
"plt.hist(z, bins = 30, density = True, label = 'histogram')\n",
"plt.plot(xplot, yplot, label = 'function')\n",
"\n",
"# make plot nicer\n",
"plt.xlabel('$z$')\n",
"plt.ylabel('$N(z; 3, 2)$')\n",
"plt.legend(loc='best')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# Aufgabe 3: Majoranten-Methode <a id=\"Aufgabe3\"></a>\n",
"---\n",
"\n",
"In der letzten Aufgabe kombinieren Sie nun das Wissen aus der [ersten](#Aufgabe1) und der [zweiten](#Aufgabe2) Aufgabe, indem Sie das Beispiel für die Majoranten-Methode aus der Vorlesung durchführen. \n",
"\n",
"Sie betrachten im Folgenden die Funktion\n",
"$$\n",
"p(x)=e^{-|5-x|}\n",
"$$\n",
"im Intervall $[0,10]$. Sie erzeugen zunächst mithilfe der Transformationsmethode eine Majorante, wählen dann mit der Verwerfungsmethode diejenigen Punkte aus, die innerhalb der Fläche zwischen der Funktion $p(x)$ und der $x$-Achse liegen und berechnen zu letzt das Integral der Funktion und schätzen dann den Fehler ab.\n",
"\n",
"## a) Vorbereitung\n",
"\n",
"Nutzen Sie die Transformationsmethode, um normalverteilte Zufallszahlen $x_M$ mit Mittelwert $\\mu=5$ und Standardabweichung $\\sigma=\\sqrt{2}$ zu erhalten. Damit erzeugen Sie sich die $x$-Werte der Majorante. Die $y$-Werte der Majorante $y_M$ erhalten Sie, indem Sie gleichverteilte Zufallszahlen im Bereich der Majorante $M$ erzeugen.\n",
"\n",
"$$\n",
"M(x)=\\exp\\left[-\\left(\\frac{x-5}{2}\\right)^2\\right]\n",
"$$\n",
"\n",
"Überzeugen Sie sich von Ihrem bisherigen Vorgehen, indem Sie die Funktion $p(x)$ _(np.abs() kann nützlich sein)_ und alle Wertepaare $(x_M,y_M)$ in ein Schaubild eintragen. "
]
},
{
"cell_type": "code",
"execution_count": 394,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# build functions p(x) and majorant\n",
"def p(x):\n",
" return np.exp(-np.abs(5 - x))\n",
"\n",
"def M(x):\n",
" return np.exp(-(x - 5)**2 / 4)\n",
"\n",
"# generate x for p(x)\n",
"x = np.linspace(0, 10, 100)\n",
"\n",
"# generate majorant\n",
"mu = 5\n",
"sigma = np.sqrt(2)\n",
"\n",
"xm = np.append(np.sqrt(-2*np.log(v**2)) * sigma * v1/v + mu, np.sqrt(-2*np.log(v**2)) * sigma * v2/v + mu)\n",
"ym = M(xm) * np.random.random_sample(xm.size)\n",
"\n",
"# plot points of majorant and p(x)\n",
"plt.figure(figsize=(15,10))\n",
"plt.plot(x, p(x), label = 'p(x)', color = 'r')\n",
"plt.scatter(xm, ym, label = '(xm, ym)', s = 1)\n",
"\n",
"# make plots nice\n",
"plt.xlabel(r'$x$, $M(y)$')\n",
"plt.ylabel(r'$p(x)$, $y$')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## b) Integration\n",
"\n",
"Wenden Sie nun die Verwerfungsmethode an, um diejenigen Punkte zu erhalten, die unterhalb von $p(x)$ liegen. Stellen Sie das Ergebnis geeignet dar (vgl. [Aufgabe 1](#Aufgabe1)).<br>\n",
"_Tipp: Für eine schöne und eindeutige Abbildung eignet sich ein größeres Bild (zB: plt.figure(figsize=(15,10))) und sehr kleine Kreuze (mew=0.1 als Argument in plt.plot())_."
]
},
{
"cell_type": "code",
"execution_count": 397,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# select passed and failed pairs\n",
"passed = ym <= p(xm)\n",
"rejected = ym > p(xm)\n",
"\n",
"# plot points of passed and failed array and p(x)\n",
"plt.figure(figsize=(15,10))\n",
"\n",
"plt.plot(x, p(x), color = 'g', label = 'p(x)')\n",
"plt.scatter(xm[passed], ym[passed], color = 'r', label = 'passed', s = 1)\n",
"plt.scatter(xm[rejected], ym[rejected], color = 'b', label = 'rejected', s = 1)\n",
"\n",
"# make plots nice\n",
"plt.xlabel(r'$x$, $M(y)$', fontsize=15)\n",
"plt.ylabel(r'$p(x)$, $y$', fontsize=15)\n",
"plt.legend(fontsize=15)\n",
"\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Berechnen Sie für den letzten Schritt das Integral von $p(x)$. Die Fläche der Majorante können Sie analytisch berechnen. Sollte kein analytisches Programm zur Verfügung stehen, nutzen Sie die berechtigte Annahme\n",
"$$\n",
"F_{\\text{Majorante}}\\approx\\int_{-\\infty}^{\\infty}M(x)\\mathrm{d}x.\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 396,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.9870896045439008\n"
]
}
],
"source": [
"# calculate integral\n",
"Fm = 2 * np.sqrt(np.pi)\n",
"\n",
"print(Fm * xm[passed].size / xm.size)\n"
]
}
],
"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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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