diff --git a/Project1/LIGOMainProject.ipynb b/Project1/LIGOMainProject.ipynb index 9c7cfdc..7ceaf32 100644 --- a/Project1/LIGOMainProject.ipynb +++ b/Project1/LIGOMainProject.ipynb @@ -1571,7 +1571,7 @@ "celltoolbar": "Hide code", "hide_code_all_hidden": false, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1585,7 +1585,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.8" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation1/Recitation_01_learner.ipynb b/Recitation1/Recitation_01_learner.ipynb index 0a0ed26..e10211a 100644 --- a/Recitation1/Recitation_01_learner.ipynb +++ b/Recitation1/Recitation_01_learner.ipynb @@ -35,6 +35,8 @@ "\n", "There's also an optional section for the exponential distribution if you finish the above in time.\n", "\n", + "Note: had already worked on this but it didn't save!\n", + "\n", "" ] }, @@ -822,7 +824,7 @@ "metadata": { "celltoolbar": "Raw Cell Format", "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -836,7 +838,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation10/Recitation_10_v1.ipynb b/Recitation10/Recitation_10_v1.ipynb index 3a9c4fe..07f85fe 100644 --- a/Recitation10/Recitation_10_v1.ipynb +++ b/Recitation10/Recitation_10_v1.ipynb @@ -47,23 +47,34 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "id": "O3ErNwyKMeT_" - }, + "execution_count": 2, + "metadata": {}, "outputs": [ { - "ename": "ModuleNotFoundError", - "evalue": "No module named 'torch'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmatplotlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpyplot\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnn\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnn\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfunctional\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mF\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'torch'" + "name": "stdout", + "output_type": "stream", + "text": [ + "Collecting torch\n", + " Downloading torch-1.10.2-cp39-none-macosx_10_9_x86_64.whl (147.2 MB)\n", + "\u001b[K |████████████████████████████████| 147.2 MB 160 kB/s eta 0:00:01\n", + "\u001b[?25hCollecting typing-extensions\n", + " Using cached typing_extensions-4.0.1-py3-none-any.whl (22 kB)\n", + "Installing collected packages: typing-extensions, torch\n", + "Successfully installed torch-1.10.2 typing-extensions-4.0.1\n" ] } ], + "source": [ + "!pip install torch" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "O3ErNwyKMeT_" + }, + "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -83,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -96,25 +107,22 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 208, - "metadata": { - "tags": [] - }, + "execution_count": 4, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -142,7 +150,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "id": "xJB1whFeF4Yh" }, @@ -163,7 +171,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": { "id": "ItvtxRZOQwL4" }, @@ -211,7 +219,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "id": "Puymym3kSChW" }, @@ -238,7 +246,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": { "id": "jrpJWOXZSRs-" }, @@ -273,7 +281,42 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Collecting sklearn\n", + " Downloading sklearn-0.0.tar.gz (1.1 kB)\n", + "Collecting scikit-learn\n", + " Downloading scikit_learn-1.0.2-cp39-cp39-macosx_10_13_x86_64.whl (8.0 MB)\n", + "\u001b[K |████████████████████████████████| 8.0 MB 3.4 MB/s eta 0:00:01\n", + "\u001b[?25hRequirement already satisfied: numpy>=1.14.6 in /Users/nicovaldes/miniconda3/envs/8.s05/lib/python3.9/site-packages (from scikit-learn->sklearn) (1.21.2)\n", + "Requirement already satisfied: scipy>=1.1.0 in /Users/nicovaldes/miniconda3/envs/8.s05/lib/python3.9/site-packages (from scikit-learn->sklearn) (1.7.1)\n", + "Collecting threadpoolctl>=2.0.0\n", + " Downloading threadpoolctl-3.0.0-py3-none-any.whl (14 kB)\n", + "Collecting joblib>=0.11\n", + " Downloading joblib-1.1.0-py2.py3-none-any.whl (306 kB)\n", + "\u001b[K |████████████████████████████████| 306 kB 30.9 MB/s eta 0:00:01\n", + "\u001b[?25hBuilding wheels for collected packages: sklearn\n", + " Building wheel for sklearn (setup.py) ... \u001b[?25ldone\n", + "\u001b[?25h Created wheel for sklearn: filename=sklearn-0.0-py2.py3-none-any.whl size=1309 sha256=bd3559b1b608942d8d732141273b3c1be211c4ab163f1df4d54c522bc3fd4264\n", + " Stored in directory: /Users/nicovaldes/Library/Caches/pip/wheels/e4/7b/98/b6466d71b8d738a0c547008b9eb39bf8676d1ff6ca4b22af1c\n", + "Successfully built sklearn\n", + "Installing collected packages: threadpoolctl, joblib, scikit-learn, sklearn\n", + "Successfully installed joblib-1.1.0 scikit-learn-1.0.2 sklearn-0.0 threadpoolctl-3.0.0\n" + ] + } + ], + "source": [ + "!pip install sklearn" + ] + }, + { + "cell_type": "code", + "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -287,38 +330,36 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.94\n" + "0.85\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_4426/1404670466.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 213, - "metadata": { - "tags": [] - }, + "execution_count": 13, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -340,7 +381,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "id": "7cNRz017TbMh" }, @@ -355,7 +396,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": { "id": "H9t77pzKUKsv" }, @@ -384,7 +425,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -398,19 +439,19 @@ "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_4426/1404670466.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -466,7 +507,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -478,14 +519,13 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -515,7 +555,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -529,38 +569,36 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.878\n" + "0.462\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_4426/1404670466.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 221, - "metadata": { - "tags": [] - }, + "execution_count": 18, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -671,7 +709,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": { "id": "Xj2m2NQCWOCl" }, @@ -724,7 +762,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -738,38 +776,36 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.922\n" + "0.924\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:26: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_4426/1937260319.py:26: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 224, - "metadata": { - "tags": [] - }, + "execution_count": 20, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -1466,7 +1502,7 @@ "provenance": [] }, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1480,7 +1516,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.1" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation11/spherical_harmonics.ipynb b/Recitation11/spherical_harmonics.ipynb index 605b8a8..dc0af5a 100644 --- a/Recitation11/spherical_harmonics.ipynb +++ b/Recitation11/spherical_harmonics.ipynb @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -29,9 +29,24 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "MathJax.Hub.Config({\n", + " TeX: { equationNumbers: { autoNumber: \"AMS\" } }\n", + "});\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "%%javascript\n", "MathJax.Hub.Config({\n", @@ -137,7 +152,7 @@ "Proof that $m$ must also be an integer.\n", "\n", "> **ANSWER 1:**\n", - "Your answer here" + "Phi must be periodic in phi!" ] }, { @@ -244,7 +259,7 @@ "Given a function $f(\\theta, \\phi)$, how would you find $a^m_l$?\n", "\n", "> **ANSWER 3:**\n", - "Your answer here" + "Integrate the function against Y^m_l :)" ] }, { @@ -260,7 +275,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -273,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -323,9 +338,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig, axes = plt.subplots(1, 5, figsize=(15, 6), subplot_kw={'projection': '3d'})\n", "\n", @@ -726,7 +793,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation12/MIT_8S50_recitation_12.ipynb b/Recitation12/MIT_8S50_recitation_12.ipynb index 8c16be0..9671d36 100644 --- a/Recitation12/MIT_8S50_recitation_12.ipynb +++ b/Recitation12/MIT_8S50_recitation_12.ipynb @@ -1 +1,193 @@ -{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"MIT_8S50_recitation_12.ipynb","provenance":[],"collapsed_sections":[]},"kernelspec":{"display_name":"Python 3","name":"python3"}},"cells":[{"cell_type":"markdown","metadata":{"id":"j_OYjrski6wJ"},"source":["# MIT_8.S50 Recitation 12: Additional features of the Discrete Fourier Transform (DFT)\n","\n","Author: Juan Mena-Parra\n","\n","Date: December 08, 2021\n"]},{"cell_type":"markdown","source":["# Preliminaries\n","\n","QUESTION: What is the Fourier transform of $f(t)=\\sin(\\omega t)$? and of $f(t)=e^{i\\omega t}$?\n"],"metadata":{"id":"u9C9AJMv4shG"}},{"cell_type":"markdown","source":["# Part 1\n","\n","The discrete Fourier transform (DFT) of a discrete signal $f(n)$ of lenght $N$ is\n","\n","$F(k) = \\sum_{n=0}^{N-1} f(n)e^{-i2\\pi k n/N}$\n","\n","The inverse discrete Fourier transform (IDFT) is\n","\n","$x(n) = \\frac{1}{N}\\sum_{k=0}^{N-1} F(k)e^{i2\\pi k n/N}$\n","\n","For what follows, you may need to write functions that implement the DFT and IDFT of a function for given values of $k$ and $n$, respectively\n"],"metadata":{"id":"jnxnxlpt49Pe"}},{"cell_type":"code","metadata":{"id":"KEi4u01GLuE-","executionInfo":{"status":"ok","timestamp":1641915586147,"user_tz":300,"elapsed":4,"user":{"displayName":"Juan David Mena","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64","userId":"04300883876663913307"}}},"source":["# Add your code here"],"execution_count":1,"outputs":[]},{"cell_type":"markdown","source":["Consider the discrete function $x(n)=\\sin(2\\pi\\cdot 0.02n)$\n","\n","Plot $x(n)$\n","\n","QUESTION: What is the period of $x(n)$ in samples? This corresponds to an analog signal sampled at 100 Hz. What was the period of the analog signal in seconds?\n","\n","For $N=100$ compute the $X(k)=DFT\\{x(n)\\}$ for $k=0, \\cdots N-1$. Plot |X(k)| vs $k$. \n","\n","QUESTION: Is |X(k)| what you expected based on your intuition from the Fourier transform of a sine function of continuous time $t$? yes/no, why?\n","\n","Compute $y(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots N-1$. Plot $y(n)$ vs $n$.\n","\n","QUESTION: is $y(n)=x(n)$ from $n=0, \\cdots N-1$? yes/no, why?\n","\n","Compute $z(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots 3N-1$. Plot $z(n)$ vs $n$.\n","\n","QUESTION: is $z(n)=x(n)$ from $n=0, \\cdots 3N-1$? yes/no, why?"],"metadata":{"id":"x9OqOQQmrbpW"}},{"cell_type":"code","metadata":{"id":"zVKxHwN839vn","executionInfo":{"status":"ok","timestamp":1641915636126,"user_tz":300,"elapsed":3,"user":{"displayName":"Juan David Mena","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64","userId":"04300883876663913307"}}},"source":["# Add your plots here"],"execution_count":2,"outputs":[]},{"cell_type":"markdown","source":["# Part 2\n","\n","Repeat the same procedure above and answer the same questions for $x(n)=\\sin(2\\pi\\cdot 0.025n)$\n"],"metadata":{"id":"GEjvLbYqxt-C"}},{"cell_type":"code","source":["# Add your plots here"],"metadata":{"id":"nN660UbWxsQF","executionInfo":{"status":"ok","timestamp":1641915649096,"user_tz":300,"elapsed":156,"user":{"displayName":"Juan David Mena","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64","userId":"04300883876663913307"}}},"execution_count":3,"outputs":[]},{"cell_type":"markdown","source":["# Part 3\n","\n","QUESTION: How does the DFT help with the inversion of $N^{-1}d$ for the CMB project? What are the trade-offs, if any?\n"],"metadata":{"id":"dcOoJNYqmRbA"}}]} \ No newline at end of file +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "j_OYjrski6wJ" + }, + "source": [ + "# MIT_8.S50 Recitation 12: Additional features of the Discrete Fourier Transform (DFT)\n", + "\n", + "Author: Juan Mena-Parra\n", + "\n", + "Date: December 08, 2021\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u9C9AJMv4shG" + }, + "source": [ + "# Preliminaries\n", + "\n", + "QUESTION: What is the Fourier transform of $f(t)=\\sin(\\omega t)$? and of $f(t)=e^{i\\omega t}$?\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jnxnxlpt49Pe" + }, + "source": [ + "# Part 1\n", + "\n", + "The discrete Fourier transform (DFT) of a discrete signal $f(n)$ of lenght $N$ is\n", + "\n", + "$F(k) = \\sum_{n=0}^{N-1} f(n)e^{-i2\\pi k n/N}$\n", + "\n", + "The inverse discrete Fourier transform (IDFT) is\n", + "\n", + "$x(n) = \\frac{1}{N}\\sum_{k=0}^{N-1} F(k)e^{i2\\pi k n/N}$\n", + "\n", + "For what follows, you may need to write functions that implement the DFT and IDFT of a function for given values of $k$ and $n$, respectively\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "executionInfo": { + "elapsed": 4, + "status": "ok", + "timestamp": 1641915586147, + "user": { + "displayName": "Juan David Mena", + "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64", + "userId": "04300883876663913307" + }, + "user_tz": 300 + }, + "id": "KEi4u01GLuE-" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def DFT(f,k):\n", + " fk = 0\n", + " for i in range(len(f)):\n", + " fk += f[i]*np.exp(-2*np.pi *k * i / len(f) * j)\n", + " return fk" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "x9OqOQQmrbpW" + }, + "source": [ + "Consider the discrete function $x(n)=\\sin(2\\pi\\cdot 0.02n)$\n", + "\n", + "Plot $x(n)$\n", + "\n", + "QUESTION: What is the period of $x(n)$ in samples? This corresponds to an analog signal sampled at 100 Hz. What was the period of the analog signal in seconds?\n", + "\n", + "For $N=100$ compute the $X(k)=DFT\\{x(n)\\}$ for $k=0, \\cdots N-1$. Plot |X(k)| vs $k$. \n", + "\n", + "QUESTION: Is |X(k)| what you expected based on your intuition from the Fourier transform of a sine function of continuous time $t$? yes/no, why?\n", + "\n", + "Compute $y(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots N-1$. Plot $y(n)$ vs $n$.\n", + "\n", + "QUESTION: is $y(n)=x(n)$ from $n=0, \\cdots N-1$? yes/no, why?\n", + "\n", + "Compute $z(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots 3N-1$. Plot $z(n)$ vs $n$.\n", + "\n", + "QUESTION: is $z(n)=x(n)$ from $n=0, \\cdots 3N-1$? yes/no, why?" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "executionInfo": { + "elapsed": 3, + "status": "ok", + "timestamp": 1641915636126, + "user": { + "displayName": "Juan David Mena", + "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64", + "userId": "04300883876663913307" + }, + "user_tz": 300 + }, + "id": "zVKxHwN839vn" + }, + "outputs": [], + "source": [ + "# Add your plots here" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "GEjvLbYqxt-C" + }, + "source": [ + "# Part 2\n", + "\n", + "Repeat the same procedure above and answer the same questions for $x(n)=\\sin(2\\pi\\cdot 0.025n)$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "executionInfo": { + "elapsed": 156, + "status": "ok", + "timestamp": 1641915649096, + "user": { + "displayName": "Juan David Mena", + "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64", + "userId": "04300883876663913307" + }, + "user_tz": 300 + }, + "id": "nN660UbWxsQF" + }, + "outputs": [], + "source": [ + "# Add your plots here" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dcOoJNYqmRbA" + }, + "source": [ + "# Part 3\n", + "\n", + "QUESTION: How does the DFT help with the inversion of $N^{-1}d$ for the CMB project? What are the trade-offs, if any?\n" + ] + } + ], + "metadata": { + "colab": { + "collapsed_sections": [], + "name": "MIT_8S50_recitation_12.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/Recitation13/Recitation13_learner.ipynb b/Recitation13/Recitation13_learner.ipynb index 4da4928..897e877 100644 --- a/Recitation13/Recitation13_learner.ipynb +++ b/Recitation13/Recitation13_learner.ipynb @@ -125,12 +125,12 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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\n", 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" ] @@ -179,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -240,7 +240,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -271,7 +271,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -385,7 +385,7 @@ "hash": "c34b3f829f55344124a5a0f2100dda58adb8e3cad3250906cc72bb8dd00bb6e7" }, "kernelspec": { - "display_name": "Python 3.9.7 64-bit ('base': conda)", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -399,9 +399,8 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.1" - }, - "orig_nbformat": 4 + "version": "3.9.7" + } }, "nbformat": 4, "nbformat_minor": 2 diff --git a/Recitation2/.ipynb_checkpoints/LIGOMainProject-checkpoint.ipynb b/Recitation2/.ipynb_checkpoints/LIGOMainProject-checkpoint.ipynb new file mode 100644 index 0000000..2173298 --- /dev/null +++ b/Recitation2/.ipynb_checkpoints/LIGOMainProject-checkpoint.ipynb @@ -0,0 +1,1594 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "# MIT JLab Project: Detect GW with LIGO open data\n", + "Author: Jing Wang , Eric Moreno
\n", + "Date: Sep 29 2020 (Updated December 2021)\n", + "Nico Valdes edits for project\n", + "\n", + "* This tutorial is developed for MIT Junior lab project \"Detect GW with LIGO open data\".\n", + "* A manual of this project can be found [here](http://www.mit.edu/~jwang011/LIGOmanualJLab.pdf).\n", + "* This tutorial is based on the material on [Gravitational Wave Open Science Center](https://www.gw-openscience.org/) and the tutorial from Professor Philip Harris.\n", + "* Some codes are hidden, and you need to build it by yourself.\n", + "* Orange bold text hightlights the questions you need to answer or codes you need to develop." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "## Introduction\n", + "The existence of gravitational waves (GW) was first predicted by Albert Einstein in his General Theory of Relativity in 1916.\n", + "He found that the linearized weak-field equations had wave solutions.\n", + "By analogy to electromagnetism, time variation of the mass quadrupole moment of the source is expected to lead to transverse waves of spatial strain.\n", + "The existence of GW was first demonstrated in 1974 by the discovery of a binary system composed of a pulsar in orbit around a neutron star by Hulse and Taylor [[1]](https://ui.adsabs.harvard.edu/abs/1975ApJ...195L..51H/abstract).\n", + "However, direct detections of GW did not arrive until 2016.\n", + "In that year, The LIGO (The Laser Interferometer Gravitational-Wave Observatory) collaboration reported the first direct detection of GW from a binary black hole system merging to form a single black hole [[2]](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.061102).\n", + "The observations reported in this paper and futher GW detections would provide new tests of generay relativity in its strong-field regime, and GW observations have become an important new means to learn about the Universe.\n", + "\n", + "In this project, you will reproduce the results reported in [[2]](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.061102) with LIGO open data. This tutorial will show how to analyze a particular GW event GW150914. In the tutorial, you will find how to download the data collected by Handford Observatory starting from Mon Sep 14 09:16:37 GMT 2015, plot the strain, whiten and filter the strain, plot a q-transform of the data, and extract the features of the source with a simple analytic model. After getting familiar with the basic analysis methods, you need to explore more events, check the consistence between detectors, match numerical relativity waveform template to extract accurate information of the source, compare with LIGO published results, and develop a machinery to search GW event within a long time range." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "## Preparation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Install dependencies" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#----------------------------------------------------------------\n", + "# pip install libraries\n", + "#----------------------------------------------------------------\n", + "!pip install gwpy numpy scipy matplotlib h5py wget" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Download the data" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'data/H-H1_GWOSC_4KHZ_R1-1126257415-4096.hdf5'" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import wget\n", + "import os\n", + "\n", + "os.mkdir('data')\n", + "wget.download('https://www.gw-openscience.org/eventapi/html/GWTC-1-confident/GW150914/v3/H-H1_GWOSC_4KHZ_R1-1126257415-4096.hdf5', 'data')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "All the available open data can be found on [Gravitational Wave Open Science Center](https://www.gw-openscience.org/eventapi/html/allevents/). In this tutorial, we take event GW150914 data as example. In the name of this particular data file:\n", + " * \"GW150914\" means September 14, 2015 \n", + " * \"H-H1\" means that the data come from the LIGO Hanford Observatory site and the LIGO \"H1\" datector;\n", + " * \"1126257414-4096\" means the data starts at GPS time 1126257414 (Mon Sep 14 09:16:37 GMT 2015), duration 4096 seconds;\n", + " * NOTE: GPS time is number of seconds since Jan 6, 1980 GMT. See http://www.oc.nps.edu/oc2902w/gps/timsys.html." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Load libraries" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "#----------------------------------------------------------------\n", + "# Load libraries\n", + "#----------------------------------------------------------------\n", + "import numpy as np\n", + "import math\n", + "from gwpy.timeseries import TimeSeries\n", + "from scipy.linalg import fractional_matrix_power\n", + "from scipy.stats import zscore\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib.mlab as mlab\n", + "import h5py\n", + "\n", + "import os\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Set input file and parameters" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "#----------------------------------------------------------------\n", + "# Set parameters\n", + "#----------------------------------------------------------------\n", + "fn = 'data/H-H1_GWOSC_4KHZ_R1-1126257415-4096.hdf5' # data file\n", + "tevent = 1126259462.422 # Mon Sep 14 09:50:45 GMT 2015\n", + "evtname = 'GW150914' # event name\n", + "\n", + "detector = 'H1' # detecotr: L1 or H1" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Load data" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "#----------------------------------------------------------------\n", + "# Load LIGO data\n", + "#----------------------------------------------------------------\n", + "strain = TimeSeries.read(fn, format='hdf5.losc')\n", + "center = int(tevent)\n", + "strain = strain.crop(center-16, center+16)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "## Analysis on a known event" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### First look at data: raw time-series data" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Show LIGO strain vs. time\n", + "#----------------------------------------------------------------\n", + "plt.figure()\n", + "strain.plot()\n", + "plt.ylabel('strain')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "The data are dominated by low frequency noise, and there is no way to see a signal here." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Data in the Fourier domain: ASDs" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Plotting these data in the Fourier domain gives us an idea of the frequency content of the data. A way to visualize the frequency content of the data is to plot the amplitude spectral density, ASD. The ASDs are the square root of the power spectral densities (PSDs), which are averages of the square of the fast fourier transforms (FFTs) of the data. They are an estimate of the \"strain-equivalent noise\" of the detectors versus frequency, which limit the ability of the detectors to identify GW signals." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Obtain the power spectrum density PSD / ASD\n", + "#----------------------------------------------------------------\n", + "\n", + "asd = strain.asd(fftlength=8)\n", + "\n", + "plt.clf()\n", + "asd.plot()\n", + "plt.xlim(10, 2000)\n", + "plt.ylim(1e-24, 1e-19)\n", + "plt.ylabel('ASD (strain/Hz$^{1/2})$')\n", + "plt.xlabel('Frequency (Hz)')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "You can see strong spectral lines in the data. They are all of instrumental origin. Some are engineered into the detectors (mirror suspension resonances at ~500 Hz and harmonics, calibration lines, control dither lines, etc) and some (60 Hz and harmonics) are unwanted. We'll return to these, later.\n", + "\n", + "You can't see the signal in this plot, since it is relatively weak and less than a second long, while this plot averages over 32 seconds of data. So this plot is entirely dominated by instrumental noise." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Whitening data\n", + "From the ASD above, we can see that noise fluctuations are much larger at low and high frequencies and near spectral lines. We can \"whiten\" the data, suppressing the extra noise at low frequencies and at the spectral lines, to better see the weak signals in the most sensitive band. This is done by normalizing the power at all frequencies so that excess power at any frequency is more obvious. The whitening transformation is well explained [here](https://courses.media.mit.edu/2010fall/mas622j/whiten.pdf). Below, a rough whitener is implemented, but the [GWPy whitener](https://github.com/gwpy/gwpy/blob/master/gwpy/timeseries/timeseries.py#L1657-L1752) does some additional fancy time-series operations.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Whitening implemented by-hand\n", + "#----------------------------------------------------------------\n", + "\n", + "def rough_whitener(strain_data, filter_length): \n", + " zscored = zscore(np.array(strain_data))\n", + " cov = np.cov(zscored.reshape(-1, filter_length*4096))\n", + " eigval, eigvec = np.linalg.eig(cov)\n", + " whitened = np.matmul(np.matmul(fractional_matrix_power(np.diag(eigval), -1/2), np.transpose(eigvec)), zscored.reshape(-1, filter_length*4096))\n", + " return(whitened.reshape(-1))\n", + "\n", + "plt.clf()\n", + "plt.plot(rough_whitener(strain, 2))\n", + "plt.ylabel('strain (whitened)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Whitening data\n", + "#----------------------------------------------------------------\n", + "\n", + "white_data = strain.whiten() #We will just use the GWpy whitening function here\n", + "\n", + "plt.clf()\n", + "white_data.plot()\n", + "plt.ylabel('strain (whitened)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We seem to see potential signal now... (maybe?) It's still not good enought, next we will apply a band-pass filter to reject high frequency noise." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Bandpassing filter\n", + "A bandpass filter can select data from a specific range of frequencies and is used in a wide variety of physics applications. The macro below shows you a framework to do bandpanssing within gwpy. This will select data with frequencies above bandpass_low and below bandpass_high.
\n", + "What you need to do: play with the filter thresholds (bandpass_low and bandpass_high), and find a window leading to a clear signal on the upper plot. On the lower plot, check out how this bandpass filter affects the ASD and compare to the original ASD plot! \n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "hideCode": true, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# [Hidden code] Here set:\n", + "bandpass_low = \n", + "bandpass_high = \n" + ] + } + ], + "source": [ + "print('# [Hidden code] Here set:')\n", + "print('bandpass_low = ')\n", + "print('bandpass_high = ')\n", + "\n", + "bandpass_low = \n", + "bandpass_high = " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Bandpass filtering\n", + "#----------------------------------------------------------------\n", + "\n", + "white_data_bp = white_data.bandpass(bandpass_low, bandpass_high)\n", + "\n", + "plt.clf()\n", + "white_data_bp.plot()\n", + "plt.ylabel('strain (whitened + band-pass)')\n", + "plt.show()\n", + "\n", + "strain_bandpass = strain.bandpass(bandpass_low, bandpass_high) #Note: for the sake of comparison, we are using unwhitened strain\n", + "asd = strain_bandpass.asd(fftlength=8)\n", + "plt.clf()\n", + "asd.plot()\n", + "plt.xlim(10, 2000)\n", + "plt.ylim(1e-24, 1e-19)\n", + "plt.ylabel('ASD (strain/Hz$^{1/2})$')\n", + "plt.xlabel('Frequency (Hz)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the proper bandpass_low and bandpass_high set, we see a significant signal! Next let's zoom in it." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.clf()\n", + "white_data_bp.plot()\n", + "plt.ylabel('strain (whitened + band-pass)')\n", + "plt.xlim(tevent-0.17, tevent+0.13)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We see wave shape!! This is GW signal." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Plot a q-transform of the data\n", + "Next we take a q-transform of the data and check the time variation of frequency. This q-transform is formed by taking the magnitude of the [Short-time Fourier transform](https://en.wikipedia.org/wiki/Short-time_Fourier_transform), normally on a log-intensity axis (e.g. Energy)." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/storage/af/user/emoreno/.local/lib/python3.6/site-packages/gwpy/plot/plot.py:403: MatplotlibDeprecationWarning: The 'cmap' parameter to Colorbar has no effect because it is overridden by the mappable; it is deprecated since 3.3 and will be removed two minor releases later.\n", + " cbar = super(Plot, self).colorbar(mappable, **kwargs)\n" + ] + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# q-transform\n", + "#----------------------------------------------------------------\n", + "\n", + "dt = 1 #-- Set width of q-transform plot, in seconds\n", + "hq = strain.q_transform(outseg=(tevent-dt, tevent+dt))\n", + "\n", + "plt.clf()\n", + "fig = hq.plot()\n", + "ax = fig.gca()\n", + "fig.colorbar(label=\"Normalised energy\")\n", + "ax.grid(False)\n", + "plt.xlim(tevent-0.5, tevent+0.4)\n", + "plt.ylim(0, 400)\n", + "plt.ylabel('Frequency (Hz)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The yellow line is signal. Next we try developing an analytic model to describe this." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "MathJax.Hub.Config({\n", + " TeX: { equationNumbers: { autoNumber: \"AMS\" } }\n", + "});\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%javascript\n", + "MathJax.Hub.Config({\n", + " TeX: { equationNumbers: { autoNumber: \"AMS\" } }\n", + "});" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Analytic model: frequency vs. time\n", + "Calculating the actual waveform requires complicated numerical simulations. However, we can use the basic knowledge of General Relativity (GR) and Newtonian mechanics to perform an approximate analytic calculation for the waveform. For an orbiting binary system ($m_{1}$ and $m_{2}$), according to GR the frequency ($\\omega(t)$) of the GW radiation satisfies\n", + "\\begin{equation}\n", + "\\dot{\\omega} = \\frac{12}{5}2^{\\frac{1}{3}}\\left(\\frac{G\\mathcal{M}_{c}}{c^{3}}\\right)^{\\frac{5}{3}}\\omega^{\\frac{11}{3}}\n", + "\\label{eq:wwdot}\n", + "\\end{equation}\n", + "where $G$ and $c$ are gravitational constant and the speed of light respectively. $\\mathcal{M}_{c}$ is so-called chirp mass, defined by\n", + "\\begin{equation}\n", + "\\mathcal{M}_{c} = \\frac{(m_{1}m_{2})^{\\frac{3}{5}}}{(m_{1}+{m_{2}})^{\\frac{1}{5}}}\n", + "\\label{eq:Mc}\n", + "\\end{equation}\n", + "Integrating Eq.\\eqref{eq:wwdot}, we can get\n", + "\\begin{eqnarray}\n", + "\\int\\omega^{-\\frac{11}{3}}d\\omega &= \\int\\frac{12}{5}2^{\\frac{1}{3}}\\left(\\frac{G\\mathcal{M}_{c}}{c^{3}}\\right)^{\\frac{5}{3}}dt \\\\\n", + " \\Rightarrow \\omega(t) &= \\frac{5^{\\frac{3}{8}}}{4}\\left(\\frac{c^{3}}{G\\mathcal{M}_{c}}\\right)^{\\frac{5}{8}}\\Delta t^{-\\frac{3}{8}} \\\\\n", + "\\end{eqnarray}\n", + "Now we get the time dependence of frequency. Considering\n", + "\\begin{equation}\\label{eq:msolar}\n", + " \\frac{GM_{\\odot}}{c^{3}} \\approx 4.93~\\mathrm{\\mu s}\n", + "\\end{equation}\n", + "We have\n", + "\\begin{equation}\\label{eq:wtnum}\n", + " \\omega(t) = 948.5\\left(\\frac{M_{\\odot}}{\\mathcal{M}_{c}}\\right)^{\\frac{5}{8}}\\left(\\frac{1\\:\\mathrm{s}}{\\Delta t}\\right)^{\\frac{3}{8}}\\;\\mathrm{[Hz\\cdot rad]}\n", + "\\end{equation}\n", + "Now let's plot this function and see how it looks like." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Frequency analytic\n", + "#----------------------------------------------------------------\n", + "\n", + "def gwfreq(iM,iT,iT0):\n", + " const = (948.5)*np.power((1./iM),5./8.)\n", + " output = const*np.power(np.maximum((iT0-iT),3e-2),-3./8.) # we can max it out above 500 Hz-ish\n", + " return output\n", + "\n", + "times = np.linspace(0., 4., 50)\n", + "freq = gwfreq(20, times, 4)\n", + "\n", + "plt.clf()\n", + "plt.plot(times, freq)\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('Frequency (Hz)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The shape is very similar to what we have seen in data. You can use the model to fit data as play, and we don't do it here. Next, we try building the analytic model of wave form." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Analytic model: Wave form\n", + "Now, we build the waveform with the radiation power $dE(t)/dt$.\n", + "\\begin{eqnarray}\n", + "f(t) &= A(t)\\cos(\\omega(t)\\Delta t +\\phi) \\\\\n", + "\\label{eq:ft} &\\propto \\frac{dE(t)}{dt}\\cos(\\omega(t)\\Delta t +\\phi) \\\\\n", + "\\end{eqnarray}\n", + "With Newtonian mechanics, we know the energy of a binary orbit is\n", + "\\begin{eqnarray}\n", + "E &= E_{\\mathrm{k}} + E_{\\mathrm{u}} \\\\\n", + " &= \\frac{1}{2}\\mu\\dot{r}^{2} + \\frac{1}{2}\\frac{m_{1}m_{2}}{m_{1}+m_{2}}\\omega^{2}R^{2} - \\frac{Gm_{1}m_{2}}{R} \\\\\n", + "\\label{eq:Etot} &= \\frac{1}{2}\\frac{m_{1}m_{2}}{m_{1}+m_{2}}\\omega^{2}R^{2} - \\frac{Gm_{1}m_{2}}{R} \\\\ \n", + "\\end{eqnarray}\n", + "The last step is because $\\dot{r} = 0$. According to Kepler's third law,\n", + "\\begin{equation}\\label{eq:kepler}\n", + " \\omega^{2} = \\frac{G(m_{1}+m_{2})}{R^{3}}\n", + "\\end{equation}\n", + "Put \\eqref{eq:kepler} into \\eqref{eq:Etot} and substitute $R$, we have\n", + "\\begin{eqnarray}\n", + "E &= -\\frac{Gm_{1}m_{2}}{2R} \\\\\n", + "\\label{eq:Ew} &\\propto \\mathcal{M}_{c}^{\\frac{5}{3}}\\omega(t)^{\\frac{2}{3}} \\\\\n", + "\\end{eqnarray}\n", + "Perform derivatives on Eq.\\eqref{eq:Ew},\n", + "\\begin{eqnarray}\n", + "\\frac{dE}{dt} &\\propto \\mathcal{M}_{c}^{\\frac{5}{3}}\\omega(t)^{-\\frac{1}{3}}\\dot{\\omega} \\\\\n", + "\\label{eq:dEdt} &\\propto \\left(\\mathcal{M}_{c}\\omega(t)\\right)^{\\frac{10}{3}} \\\\\n", + "\\end{eqnarray}\n", + "Put Eq.\\eqref{eq:dEdt} into Eq.~\\eqref{eq:ft}, we have the waveform\n", + "\\begin{eqnarray}\n", + "\\label{eq:fwt}\n", + "f(t) &= C\\left(\\mathcal{M}_{c}\\omega(t)\\right)^{\\frac{10}{3}}\\cos(\\omega(t)\\Delta t +\\phi), \\\\\n", + " \\mathrm{where}\\:\\omega(t) &= 948.5\\left(\\frac{M_{\\odot}}{\\mathcal{M}_{c}}\\right)^{\\frac{5}{8}}\\left(\\frac{1\\:\\mathrm{s}}{\\Delta t}\\right)^{\\frac{3}{8}}\\;\\mathrm{[Hz\\cdot rad]} \\\\\n", + "\\end{eqnarray}\n", + "and $C$ is a constant. This waveform amplitude is only supposed to work before merger ($t \\leq t_{0}$), and we need to come up with a way to define the ringdown amplitude ($t > t_{0}$). The actual way to get the amplitude requires months of a super computer to build good templates. As a simple approximate solution, you can use a simple damping function (Here I use an exponential).
\n", + "What you need to do: Build a function osc(t, Mc, t0, C, phi). It has the form as Eq.\\eqref{eq:fwt} for $t \\leq t_{0}$, but damp to vanish for $t > t_{0}$." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# [Hidden code]: Define the model function w(t) here.\n", + "def osc(t, Mc, t0, C, phi):\n" + ] + } + ], + "source": [ + "print('# [Hidden code]: Define the model function w(t) here.')\n", + "print('def osc(t, Mc, t0, C, phi):')\n", + "\n", + "def osc(t, Mc, t0, C, phi):\n", + " \n", + " '''define code here'''\n", + "\n", + " return val" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "image/png": 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6ta6srEzuCQ+gqqqKVL33aCdzZ47Mm3kyd+aket601nzjpbW092Rz17nLjlvImTN+Mr/82StMOGLj25cM/zl2evw880AN8+eUUVk5/YTn+87dG401rKlt42fTKsgZYLfQgTxe/R6v1rv4/ezZEZ/3+AOs+et+5s8torKyIqax9zV1sab2ABedOYHKysjVp28+cpCSieO4aZiug1Rfc6OZzJ05I3XeUl0Gg1IqQyn1W+AXwDVAEOibMjBX3CeEEOKksWFfC1sOtfHJs6ed0HGlLC+dc2cV8/TmOgJBPeznFu2GSHCsvWKPiY4tXd4AmQPUqwM4rBZsFmWqzCZ8zEALTCG8+6qUwQgx3FK9wDQLeA3oBBZprd8DjgJloefTgBM/jxNCCDGmPLT+ILnpdq5eEjnre9Xicuo7PKyraR7mM4PG0IZI0dSsZ8bRsaV7kG4tAEopMp02U60bw8cMVLMOxgLWRLVubOnyEkzBjZUQo1GqM+ufBl7RWn9Ta90deux54HqllAW4FngpZWcnhBAi5To9fl547yiXLSglfYBuJRfMLibbaePJd+uG+ezMZdbNBNRd3sCA3VrCMh3mFrCGF5gONL9g7GKaiG4wD60/wJL/+TdX/34tHr98eC7EUFIdrC8CPh5q3bhXKbUX2ANsBQ4BNwM/SN3pCSGESLUXdhzF7Qty1eLyAV+TZrfyvjklvFzVMOwZ26ZQZr0we8AlVr0yHXFk1r1+MgfYYTQsI97M+iBlNllptri7wXR6/Pzk2SqsFsU7B9t49O3auMYTYixIabCutf641rpUa13R51er1vpWrXW51vpcrXVjKs9RCCFEaj21+TATxqVzyuRxg75uxcxCWrq87DjcMUxnZmjs9KIU5GcMHayHM9emMuue6DLrZrLfXUO0hQSjDMYVZ2b9P7sa6PT4+et/ncbs0hz+/vahuMYTYixIdWZdCCGEGJDL7eOt6iYumV8asV1hX2dVFAHw2p7hzfE0ujwUZDqwWYf+JzWcGTcTrPdEUwbjtPWWtMQifD5DlsHEmVl/aWcD+ZkOTp2SzxWLytha287RdndcYwpxspNgXQghxIj12u4mfAHN+2aXDPnaomwnc0pzeH2Yg/Vody+F+DYu6vL6B818G+PbTO1gGu0C03i7wWw60MppU/OxWhRnVRQCsLa6Ka4xhTjZSbAuhBBixHppZz15GXaWTMqL6vVnzyxk04FWU9lls2IJ1sPBcLepmvUAGYPUlINRc24us+5HKUizDxwWZDnt9PgC+APBmMcHaO70cLClm4UT8wCYU5pDXoad9TUtpsYTYqyQYF0IIcSIFAhqXtnVwPmziqMqMQE4bWo+voBma217ks/uGCNYH7peHegNtrtM1axHmVk3WQ+f6bANWmqUnWbrfa0ZW+uMv5OFE/IAsFgU88tz2XFk+P6uhBiNJFgXQggxIr13uIPWbh/nzCqK+pjFE41FqJsOtCbrtI6jtabR5YmqxzoYGxdZLSrmTZECQY3HHxy0zzpAltNc68Yen3/QenUwusEAuEz2Wt9T7wJgdml272NzynLYfbQTn8lsvRBjgQTrQgghRqT1+4wNjk6fVhD1MeMyHUwryuTdg8MTrHd5A7h9wajLYJRSZDisMdesh0tbhlpgmuEwWjfG2r7SyKwPPnZ2aHGs2V7rexs6Kcxyktena87csly8gSB76jtNjSnEWCDBuhBCjAFuX4BGlwetR8+uketqWphSkEFJTlpMxy2ZNI53DrYNy9cay4ZIYZkOG90xlpKEF4BGU7MO0OOLdfzBd0eFY5l1sx1h9jR0UlGcedxjc8tyANhxWEphhBjI4N+ZQgghRrVXqhq465W9vB0qCynOdnLD6ZO5ZcU00uyDB36pFAhqNuxr5gPzSmM+9pTJ43hsUy37m7uZWpg59AFxCG+IFG0ZDBgBd6yZ9Wj6oMOxHVK7othAqa/uKNpCZoXGM9sRprqhk8sXlR332NSCTDIcVnYc7uAaU6MKcfKTYF0IIU5C/kCQ/3nmPR546wCT8jP40gUzyEm38+beJn757908t/0oD9y8LKYgczhVHe2gw+3n9On5MR+7ONQ5ZvOh1qQH641mM+sx1qz3ZtaH7LMe3iE1ANmDvvQ4Xd4Auen2QV+T3VuzHnuw3t7to8PtZ0rB8X8fFotidmkO7w3zRlZCjCZSBiOEECeZQFDz1b9v4YG3DvDJs6by4pfP4dYLZ/LJs6Zy38ql/PHGU9nX1MVHVr9Fe4+5xYLJFm7nd9rU6OvVwyqKsnDaLOyoS34AGM6sF2ZH1w0GjI2HYm2v2JtZHyJbHs68x7rItNvjH7JmPctpBPNmymAOtnQDMGFcxgnPzRqfze4GV8xjCjFWSLAuhBAnmZ8/v4unNh/maxfN4nuXzcFhO/5H/QWzS/jTTUs52NzNfz/8bsyLEYfD+n3NTMxPpywvPeZjbVYLlaU5bB+GOujGTi9KQX5G9MF6psMae2bdN/QOo3CsDMZM5n6osXsz6+7Yb/DCwfqk/BOD9WmFmbR1+2jp8sY8rhBjgQTrQghxEnlhx1F+/2o11502ic+dVzHg606bVsD3PziHV3Y18tD6A8N4hkMLBjXr97WYyqqHzSvLYcfhjqQvMm10eSjIdETdBx4gw2kzkfkeeodRY2wj4I41c98d1e6oVpQy1w0mHKxPzD/x5mt6URYANY3SEUaISCRYF0KIk0Rrl5dvPbGNeeU53PbBOUO+/obTJ3NmRQE/W7OLo+3uYTjD6OxucNHW7YupZWN/c8tycbn9HGrpSeCZnSiW3UvDzGTWu6Js3ZhpMrPeFcXuqEopspw2UwtMa1u7yU23k512Yl38tCKjjr2msSvmcYUYCyRYF0KIk8Qd/9pJe4+Pn314IU7b0J1elFL86Mr5eAJBfv78rmE4w+gcq1ePfXFp2LxyoyVgskthzATrGQ4zmfXoatbDwXws4/sDQbz+IBn2oXtO5KTZTWXWG10eSnIiz9OEcRk4rBaqmySzLkQkEqwLIcaUHm+At6qbeWHHUdbVNNPePTIXWMbqjT1NPP5OLZ86ZxpzQr2rozGlMJMbl0/myXdre3eYTLV1Nc2U56UzMUJ9c7RmlmRjs6ik9++OZffSsAyHNeY+6F1RdoMJPx9LZj1cD585RGYdCGXWY/+eaez0UJwduV++1aKYXJAhmXUhBiCtG4UQJz2vP8gT79Tytw0HKaWFNbX7e59TCpZOzufGM6ZwyfzxKKVSd6Imaa25c00VE/PT+cL5M2I+/jPnVvC3DYf43xd3c/f1pyThDKOntWbDvhbOmVkU1zhpdivTijLZdTR5NyBa61BmPfrFpWBkx30BjdcfPGHx70C6vX6sFoVziNeHM+8xBeue8I3A0CFBdprNVGa9ocPDsqkDt9GcWphJtdSsCxGRBOtCiJPa2r1NfPvJbexv7qZyfDZnzirk4xfNJC/DTkuXl00HWnlqcx2f++s7LJmUxy+uWci00IK30eLFnQ1sq2vnZ1cvMLXRUX6mg08sn8zvXq3mQHMXkwuS25t8MHsbOmnu8sZVrx42oySbbbXJy6x3eQO4fUETZTDHFoE6bNEF+t3eABl265A3k06bBYuKbYFpuB4+qsx6mi3mri1aaxo7B/8EYlpRFq/sasAfCMa0WDeSTo8fty8Q89+LECNVVN8RSimHUuqjSqnP9v+V7BMUQggzfIEgP352J9f/cT0Wpbh/5VKe+9LZLJ2az1kzCplXnsuKmUXceuFMXvnKufzs6gXUNHVx2W/eYM32o6k+/ahprfnVi7uZXJDBhxaXmx7nxjOmYLMo7ntjXwLPLnbrapoBOG2a+Xr1sFkl2Rxs6Y65M0q0whsixVoG09sLPcbs91ALQMFYh5DpsBmbIkWpJ3Qe6VHc6GWn2WPus97h9uP1BykeNFjPxBfQ1LbGtyD44Q0HWfI//+bUO17kW09swx8IxjWeECNBtLevjwB3AKcBS/v8OjVJ5yWESBBfIEiH20drl3dE9tNOBpfbx033b2T1azVct2wS//ri2ZxXWTxgVtJiUVx76kSe+9LZzCzJ5rMPbeKRjQeH+azNeeG9enYc7uAL58+IKyNZkpPG5QvLefTtWtq6U9fvet2+FsbnpEXsxx2rmSXGFp576pNTXtG7IVKMGdxwP/OeGLPfQ7VW7Dt+TJn1KBevglGz3hFjsB7NTc30cEeYOBaZbtzfwref3MayKfnccPpk/rbhIL/8927T4wkxUkRbBvN+oEJrfSSZJyOEiF+Dy80rVQ28uruR9w53cLClm3CMbrMoyvLSOWXyOM6sKOSiuSURW6mNZk2dHj5+73r2NnTy86sXcM2pE6M+tjQ3nb/echqf/ss7fOPxbQQ1fGzZpCSebXyCQc2vXtzD1MJMrlxUFvd4/3X2VB5/p5aH1h8ctEd7smitWV/TwlkVBQlZOzBrvBGs7653sXBiXtzj9dfkMhesh8tNYsl+d0fRWvHY+LbYatajXLwK4Zr12BaYNriMtqBFg8zTtMJwr/Uuzq+MaXjAuHb+55n3KM1N554bTiHTacPjD7D6tRo+vGQCFcWjq7RNiL6iDdbfBYoACdaFGKHW1TRz/5v7eHFnA4GgpjQ3jUUT8/jgwjJy0+1YlKKp08O+pi5e39PIk+/W8b2nrFy+sIzPnVfBpIL4M5mp1trl5eP3rmd/cxf3rVzKChOLFDMcNu79xKmsevBtvvPkNoqznVwwuyQJZxu/F947ys4jHfy/axfGXecLMLs0h+XTCvjbhoN85pzpWCzDu9i2pqmLpk4PpyWgXh2M3TKdNgu7k9TlprHTXBlMRm8ZTGzZ72gWgBrjx5hZ7+3hHsUCU6cNty+ILxDEHuU1F86sFw/QuhFgXKaDvAw71SY7wrxV3czW2nbu/PD83k8Ivn5xJf/aeoRfPL+L39+Q2oXTQsQj2mD9EeAxpdTjQC3Q+1m61vruZJyYEH11uH1UN3RysKWbw21u3L4A3kAQp81CQZaT4mwnleOzmZSfMSq7ecRj86E2fvH8Lt7Y20R+poP/OnsqVy4qp3J89oBzobXm3UNt/P3tQzzxTh2Pv1PLR5dN5GsXVZKbPjoz7e09Pm64bz01TV3cd+NSzppRaHosh83CXdct4aOr1/G5v77D4585g7lluQk82/iFs+rTijK5fGH8WfWwjy6byJce3sza6ua45tCM3nr1OPqr92W1KCqKs9iVrDIYlweLMhboxqJ346JY6sp9gajfJ9aa9Vgy61lpxrl3uv2Mi/J8estgsiK3bgybVphpehfTv244SF6GnSsWHVu3UZjl5JYV0/jVi3vYeaSD2aXRtzQVYiSJNlhfArwJjA/9EiKpvP4gb1Y38fLOBjbub2FXvYv+u4bbrQpf4PgHc9PtnDJ5HO+bXcL7ZhdTnDP4Pw6jWWuXlx89u5PHNtWSn+ngu5fO5uOnT46qG4hSiiWTxrFk0jj++30z+e3Le3lo/QHWbK/nR1fN46K5o+vb3O0L8F8PbGT30U7u+cQpCQkyM5027lu5lA/+5g0+85d3+OcXzhpRNzJrdhyl6qiLX390UUKy6mEXzR1PbrqdhzceHPZgfX1NC0XZTqYWJq4bzaySbNZWNydsvL4aO73kZzqwxvgJRLicJdbM+sRx0X36le6wxrTuINoNl4DesrlOT2zBusNmISd98PGnFWXx6u7GqMbsy+0L8HJVA1cuLj/h59/KM6bwu/9U8+C6A/z4qvkxjy3ESBBVsK61vinZJ3KyCAY1B1u6qTrqYne9i7rWHho7PTS6PLjcPvxBjdZGBiM7zUZ+ppNJ+RlMyk9nTlku88pzov6o82QTzvb+df1Bnt9xFJfbT4bDyimTx3HJ/FLmlOYwuSCD8nHppIdamPkCQVq7vBxpd7PjcAfb6tp5Y28jL1c18J2n4OwZRVx/2iQuqCxOaECTaruOdnDd31+lo8fHZ86dzufOqyArin9oIynJSeN/rpzHR5ZO5JtPbOVTD27ixuWT+fals6PaBTPVtNZ8/bGtbNzfym+vW8x5s4oTNnZRtpO7rl/CR+55i688uoU/fOKUEfHJTTCo+fWLe6gozuKyBYnLqoPRn/yqxeX8df1BWrq8MWeNzdJas35fM6dPS0y9etiMkmyeeLeO9h5fwm+2zOxeCscy2D0x1pVHk/kGoyb+cFv0Y0e74RLQ+3OmI4aNkRpdHoqynEP+vU4ryuSxTbW43L6Y1tK8vqeJbm+AiyMkGfIyHFy+sIyn3q3jmx+oJOckW6MjxoZB/3VXSm3QWi9TSm2kT+lLX1rrZUk5s1EiENTUd7h5/bUa1tU0s2FfC65QlkIpY0FNcY6ToiwjW2SzKJRSdHv9uNx+DrV0s7a6qfdjSIsyOhgsn17AebOKWTY131Tf5NHE4w/w+KY6Hlx3gJ1HOsh0WPnA/FIumT+eM6YXDvr1260WinPSKM5J611AprVmd30n/9p2hL+/fYhPPbiJ8rx0PnvedK4+ZcKoCEAH4nL7+P7TO+hpPMrE/AJ++qH5Cftod155Lk985kzuXFPFH9/Yx6aDray+4VTK8tITMn6y/L9/7+YfWw7z9YtnJTxwBThl8ji+fclsbn/mPf6y7gA3LJ+S8PeI1bPbj7Cr3sX/fWxxzFndaHx02UT+tHY/T71bx81nTU34+JHsb+6mvsOTsBKYsFnjjYWFe+pdnDolsWOb2b0U+tasxxBQe/xRZb7D48eywLTHG8CiGHLDJYCcPmUw0Rqqx3pY30WmsSwIfm77EXLSbCyfHnmtww3LJ/P3TbU8samWlWeav5437m/hr+sPcrClm8n5GVy1pJyzKgpHxA28OLkN9Z3/tdD/v5rsExmtPvaHdeT7GllTa+yW98FFZSyakMfM8dnMLMmKKkuutabR5WFbXTtbDrX1Zpfvf3M/6XYr58ws4srF5ZxXWTSqA83+3L4AWw61sfKJ/3C0w83cshx+fNV8Ll9UZjpLDEaJx6zx2cwan80Xz6/g5aoGfvdqNd95cjt3vbyXz55XwUeXThx1mfbNh9r44t/epba1m++fXcDHL1qe8K/BYbPwvcvmcPq0Ar78yGauvOtN/njjUuZPGFn12mF/f/sQv3l5Lx85dSKfOWd60t7npjOn8J/djfzo2Z2cWVGY0k2TAqGs+oziLC6dX5qU96gcn8P88lye2jx8wfr6UL366Qnor95XuH3jriQE602dHlMlO72bIkW5E6jWOrbMusMaW4lNqC1kNEFnuGbdFUOw3tDhiWoBe7h9476m6IP1QFDz0s4G3je7ZMAFrwsm5LFwYh4PrjvAjWdMiTm4NtaH7Ob/Xt5LXoad2eNzeKmqgSfereN9s0v46YfnywZMIqkGjYi01q+G/6+UsgB9C4DzgT8D5yfv9Ea+G5dPwd9i5YefWECJyfpopRTFOWlckJPW23XC7QvwVk0zr1Q18Oy2o6zZcZScNBuXLijl2lMnsmhi3qi9m3f7Avx1/UF+/2o1S3K7mZRfxC+vXcgZ0xP78TeAzWrh/XPHc+GcEl7f08SvX9rDd5/azp/f2s/3LpvD2TPi29J8OASDmnteq+GXL+yiONvJI59aTra7Iak3GxfOKeGxz5zBzX/ayLX3vMX/fWwxF84ZWR1R1u5t4ltPbOPMigLuuGpeUr8flFL8/OoFvP9/X+PWR7fw+KcTf6MUrX9tO8Kehk5+e11ysuphVywq445/7aSmsXNYbk7W72uhMMvB9AS/V1muUTZX3WCuy8hAtNahMpjYy4TsVgsOmyXqzLo3EMQf1FEH6+kOW0yLV6PdcAmOr1mPVmOnh1OnjBvydZMKMrAoYlpkuuNwO+09Ps6ZNfjP8k+cPpmv/H0Lb9U0c8b02NZi/PjZndz7xj6uOWUCt18xj3SHFY8/wJ/XHuAXL+ziQ3ev5f6blsZ97YZvyiC69QNi7Ih2B9NPAV2Aq8+vA0BszVZjoJS6QylVp5TaqJSakKz3idelC0qZNT7HdKA+kDS7lfNmFXP7FfNY963zeeDmZbxvdglPbz7MVXev5YO/fYNHNh6MqeYx1bq9fu59vYaz7nyF2595j2lFmXx4yQQe/fRyzkzyR4lKKVbMLOKxTy/nnhtOwe0LcsMfN/BfD7zN/qbE/iOeSE2dHm68fwN3rqni/XNLeO5LK1ia4OzgQGaNz+bJz53BjJIsVj34Ng++tX9Y3jcaextcfPovm5hamMnd158SdQu5eJTkpPGjq+ax5VAbv/tPddLfLxIjq76bWSXZXDIvOVn1sA8uLEMpeGrz4aS+DxhByrqaZk6bmvgbdotFMbUwM67NdiIxtrQPmiqDASO7Hu2mSD29NeXRBXCZDivegNFeMRrdvkDUY4c/9XRFWbPuCwRp6fJGNU9Om5WJ+RlUx/Az+c29xicyA5XAhF26oJS8DDsPrYtts7OHNxzk3jf2sfKMKfzs6gW9G1o5bVZuWTGNh1edTpfHz4fuXsvG/S0xjQ3G3+2D6w5w/b3rWPCDF5h72/PMve155v/geW7443ruemUvO490oPt3WIiRcSPgp8Ptw+sPxj2eGF7R3rp9G/gARnD+GeBG4H+AXck4KaXU2cByYCLwCeB24OZkvNdoYLNaOGdmEefMLOJ2j58n363jL28d4BuPb+NH/9rJ1adM5OOnT0rpR/OD6fL4+cu6A6x+rYbmLi9nVhRw1/mLOW1aAVVVVcN6LkopLpo7nnNnFXHfG/v57ct7eP//vsYtK6byufMqRtTi3rXVTXzp4c209/i448p5XH/apGH/NKU4O42HV53OF//2Lt97egf1HR6+8v6ZKf1Up6nTw01/2ojDZuG+lUuHtUPLZQvKeGFHPf/38h7eN6dk2FvBPbP1MNWNXdx9/ZKk90AvyUnjjOkFPL25jlvfNyOp73WopYcj7W5OS3AJTNj04iw2H2pN6JhNnUa3FbPlD5kOW9SZ9VgWgAJkhALqbm+A3PShb2S7Pf6ox84Ol8FEmVlvirEX/dTCTGpi6LW+trqJmSVZFGcPnjBLs1u5eskE/rR2Pw0d7qg6he1v6uIH/9zB2TMK+d5lcyL+3Fs8aRxPfvZMVt6/gevvXc//XruISxcMfSPt8Qd4eMMhfvvKXhpdHiqKs7hicRkTxmWgNdS2drPpQCs/f34XP39+FxPGpfP+OcanxEunjBvwkz23L8Cuoy5217bx113b2VPfSU1TJy1d3uO6p9mtiuLsNEpz0yjLS6c0L43xOWkUZDkpzHKQk2bHalFYlCKoNS63H5fbR4fbF/q9n44eHx2hxz1+48YwPEM2q8JhtWC3WrDbLKHfKxy20GPWY4/ZQ2slgkGNP6gJBDVBrQkECf3feDwY1AS08f+g1iilUAosSmFRoAj9XxnnbTxH7+u0Nm5atIagBo02NgzUuvfP+b4mxk/ykpcxPAvro6WiubtSSnUDOUAAWB9adJoD7NBaR789YLQnpdRtwCGt9X1KqTRgm9b6hH8tlFKrgFUAK1euPOUb3/hGok8lKk1NTRQWDm+LM601h9vdbK1tY29DJ4GgZnJBBgvK85hamDnsm5lE4vYF2FrbxrsH2+jxBZhckMFpUwuOW7CYirnrq8vj5429Tew80kF2mo0VM4qoKM5KaTAa1JoN+1pYv6+ZvAwHl8wrPeEfuuGet2BQ81KVsa39vLJczq8sTsk15g8EefydWhpdHq4+ZSLjc2P/RCveuQtnwrKcVj6ydFJSS1H6CmrNg+sOYFVq2G7cdhxu59/v1fORpROx+7qSds2F3+fjp09OSu3vuupm1u9v5nPnViSsfKmurYe/v32IqxaXM7lg8Lr1SNfcn9/aT0GWg0vnD70ouqXLw5/fOsAH5pX27so6mO117by4s55PnjU1qq4qj206hNZEtduv1prfvrKXJZOMXZCHUt/h5m8bDvLBhWVRlYm8uquRbYfb+Ny5FTQ3Nw96zfmDQX7/ajXzynI5N4ouUK3dXh5Yu58zphWwbIiNt4Ja89imWpo7Pdxw+pTeWv2B9HgD/HPrYY6093DG9EJOnTwu4vdoMKjZeaSD9fta6HD7KM9LZ/n0AiYM0Jazy+NnX1MX1Y3GPiOBoCbNbqUwy0FeugObVaG18UlPe4+Pli4vQa2pyNEc7LZSkOlgXKaDDLuNNLsFi1L4g0G8fk2X1wi0XW4/nR4/gWBs2XabReGwWXHaLCf8HAxq3RtoB4IQCAYJanoDcTPCgbnCCMA1mtB/RiAe6oMS6/DhvyaFoiInyJlzp5GbkZquQY888sim22677dT+j0ebRtyCsdj0f4GgUmouEASSteVhCbAOQGvtVkpFvMXRWq8GVgOsXr1aV1aa2KM4AaqqqkjFe88GLsDoSPDIxoM8tP4g92yppyw3jetPn8y1p040/RFtPFq6vNz3xj4eWFuLy+Pn/MpiPndxBadMPrFmMVVz19cpC41V/t9/egd/f66BMysC/OCDc5lRMvQ/iol2pL2Hrzy6hbXVbXxo8SS+e+W8iLWLqZi32bMr+X//3s0vXt7LZlcGv/nYkt6PhIdDMKj5wt/e5dn3fNx93amca3JxZSLmrsFawKce3EThBBtfvCC5WeewJ9+t5W+7Avz+40uYPTu5JTBhZVN8fOvlFxlf7+CjM9OTds39YesW1rekcfeSBUm5CdztOcxzr7fxpYIJVI5PzKchNduOsKb2MF/68Awqh/iEJdI1t+PFJsbh4CtRzOmWQ22sqa3lmgsmUVk59NqRXe461tQ28dWyqVQUDx0gb3yxibwMR9R/v2v/foj8sjw+GcXr63bWs6a2jk9fUUFlFItG325L55m3OvhWqbEQdLBzWlfTzDMH9nH5iplUVka3N8Rd7/Twuy2dfPT9M3EM0v3mD6/VcN92L//v2kWcuii6StzZsyv5yqNb+N5/jnDqZPjCBTNYPq0Ah81CfYebZ7Ye4b439lHX1sPCCbl85f2zOHvG0CWg4b1Xuzx+XtvdyKu7G3m3oZOD+7vx+oMoBcXZTiaMy2ZORQ7zynMY52ti2aLo1/IEg5q2Hh/NnR4aOz10uv292W2LMtYqZKfZQr/s5KTbTDe8CAY1vmAQX0Dj9R8r17JaFFalsFhUn9+DzWLpzZBH41j23Ajfg6E/qxOy7yeOORJikkiiDdZvBn4ETAZ+CWzE+LTju0k6L82xT1PAyOiLARRlO/n8+TP49DnTeXFnA39Zd4CfP7+LX724m0vml3L9aZM5dfK4pGdC3zvcwYPr9vPUu4dx+42et587r4J55SOzk0hfS6fk88wXzuKv6425+8CvX+emM6fwxQtmxNTv1ywdyuLc/sx7+AOan1+9gKtPmTCiFhErpfjK+2dRlO3ktn/s4Pp71/HHG5dGvTFKvO58vop/bTvCty+p5ANJ6oISrYvmjufyhWX85uU9XDgM5TC+QJBfvbiH2aU5vH/O8G1YlZNm532zi3lm62GurUje0qFwvXqyfkaFu4zUNHYlLFgPl3eY/SQgI4ZFoOFFh9HeHId3SI12TVOXN0D5uOgDr+w0e9QLTBtcsZXBTOv9u+pkqOX/62taUApOmzp4lryvW1ZM48b7NvD4O7V8bNmkiK/Z2+Di5y/s4sI5JVy1uDziayJJs1v57XWLOXdTET97fhc33rcBh9WC02bpLRtaNiWfH14+lwtmF8f88z3TaeMD80uj+vlXVdUe0/gWiyI/00F+piPpiSqLReG0WHHagCTkE3vLYxg5/37GK9pgfYbW+kOh3+9SSj2HUULjStJ5HQXKAEJlMNFvxTaG2awWLp43novnjae6sZO/rDvAY5tqeXrzYcrz0rlsYSkfXFDG3LKchAWBLV1e1mw/yhPv1PL2gVacNgtXLCrjlrOnpSQzHQ+rRXHD8ilcMr+UX7ywi3vf2MfTmw/z7Utmc8WisqQFzofbevjuU9t5uaqBZVPy+fk1C4b8WD2VPrF8CoVZTv774c1cc89bPHDzMsqT3Iv9d/+p5p5Xa7j+tEnccva0pL5XtH54+VzWVjfz1b9v4anPnZnURa6PbDzEgeZu7lt56rCXH12xqJxntx3lYEs3c5Iw/qGWburaerjl7OS1iAy3V6xuSNwi0yaXB4vC9KZRGQ4rRzvcUb22O7QQNTPKNTWx7pBq1KxHv14ny2mLeoFpoyt8UxPdPIVLZWoauygaYgnD+n3NVI7PialkYcWMQhZOzOOuV/by4SUTTsiue/1BvvzoFjIdVn581fyYf+4rpbjm1IlcvqiMl3c2sLm2DY8vSFleGmfPKBr2dS7i5BDtd+dvlVI7tdZ7ALTWiV1Wf6LngZ8opf4EXAu8lOT3O+lML8ritg/O5WsXzWLN9qP8c8th/vj6Pu55tYaJ+emcVVHImRWFnD6tIKbMUDCoqTrqYl1NM6/samBtdTOBoGZaYSbfuWQ215w6YcQtzIhVQZaTn3xoAR9ZOonbnt7Ofz+ymYfWH+DLF87i9Gn5CQvae7wB7nmtmt+/anQW+f5lc1h5xpQRsd5gKJfML2VchoNVf36bD9+9lgduXhZVLa0Zf35rP3euqeLyhWXcfkVyWzTGYlymgx9dNY9PPbiJu1+p5ktJWoTp9gX4v5f2cOrkcQndnTVa584qIifNxq56FxcnYfw39zYBRFX/bFaGw0Z5Xjo1Cez81NjpIT/TaXrNQobTFlPmG6JfYBoO6rujDNa7YujhDsYi02j7rDe6PORl2KMumSjOdpLpsFLT2Mlp+QOHKF5/kHcOtvLRpZGz4wNRSnHr+2aw8v6N3PXKXm69cOZxz9+5poqtte38/uOnxFVG6rRZo86CCzGUaIP1nwAPKqX+gJH17i3f11o/m+iT0lpvUEptBQ4Be4BrEv0eY0WGw8aHlkzgQ0sm0Nrl5bntR3llVwPPbDnC3zYcAowfjrNLc5iYn05JdhrjMh3YrcZq6k6Pn9YuL0c73Oxp6GRvfWfvx3lTCzP51IppXLqglDmlicvWjxSLJubx5GfP5O+bDvGLF3bzsT+sY+mUcaxaMZ3zZhWZXqjmcvv424aD/PGNfdR3eLh0QSnf+kDlgAuMRqrl0wt45FPLWXn/Bq75/VruvXEpyxK8++SD6w7w/ad3cOGcEn557cJhW8wZrYvmjueKRcfKYeaUJT5r9sDa/TS4PPz2uiUp+R5z2qxcuqCUvfUH6fbGloGNxpvVzRRlO6OqrY7HtKJMqmPo3z2URpfXVI/1sFg2Lgq3eMyIegfTUGY9yjKbHm/0rRvBCNYPt0X3qUCDy01RDAkhpRQzSrLZVe+CWQP3Zt9W14bbFzS14+25s4q5clEZd72ylxUzi3rXU937eg1/fGMfNy6fzMXzhq/cTIihRPvdeS3QA3y83+MaSHiwDqC1vhW4NRljj1XjMh1cd9okrjttEv5AkK117bxzoJX3jnRQdcTF1to2WrtP/GhTKSjIdFJRnMlVS8pZNDGP06YVJL30YSSwWBQfWTqJKxaV8+jbh/j9f6q55c9vU5Lj5MNLJnDhnBIWTMgbMogMBDWbD7Xyj82HefLdOjrcfpZPK+A3H1uS8AB3OM0py+Hxz5zBjfdt4ON/XM+vPrKISxKQSdJa85uX9/L//r2bCyqL+e11i4ell7oZP/jgXN7ca5TDPP35xJbDtPf4+N2r1Zwzsyil18kVi8r507P7+fd79VyxKPoa3qForXmruinp+yyA8Wnj398+hA61fItXfYfbVDeisHSHtbcWfSjhoDszxtaN0WTuvf4g3kAw6rEhXLMe3Y1Po8tDcU5sGerZpTn8a+thtM4b8DXraoye5ma/L354+TzeOdjGjfdt4MYzJnOopYd/bDnMpfNL+e5lySj4EsK8aIP1r2it3+n/oFJqfoLPRwwTm9XCkknjWDLp+MyF2xego8fX2+s0y2kjJ90+4jKawy3NbuUTy6fwsWWTeLmqgUc2HuL3r1Zz93+qGZdh55TJ+cwsyaI0L53cdDtaazo9fg619LCn3sXG/S10uP04bRYunFPCLWdPi3o77ZFuYn4Gj33mDD75wEY++9A7XH/aJL576RzTnWK6vX6+/cQ2ntp8mA8tLufOqxeM2EAdklsO87//3k17j4+vXTQrYWOasWxKPo+n2Xjq3bqEBuu76ztp6vRyZow7SpoxrSiTLm+ABpcnIZvY1Xe4mRNH/XGmw0a3NxDVzUOPL9YFptHXrPfEuHgVYqxZ7/RwyqSBM+SRzCnL4W8bDg7ay339vhZmFGdRYHKBb26GnUc+dTrffHwbd/+nmgy7lc+cO50vXzhzRP+8EWPToMG6UmoORleWjUqpeRzfocUJvIrRf12cJNLsVtLsw9eOb7SxWy1cNHc8F80dT2uXl9f3Nhl9geva+M+uBvz9+tTarYpJ+Rl8YF4py6cXcMHs4mHpLjPc8jMdPLzqdH75wm5Wv1bD+n0t/Piq+TFnvbbVtvO1x7awq97Fly+cyefPqxgVNfzJKId573AHf35rP9efNinlHZUsFsWskmyeeKuJ5k6P6QCpv3C9+hkV0XfzMCu8cLG6oTPuYN0fCNLU6aEkxoxxX+kOK4GgxuMPDvkzt8vjN3paRxlEZvTWrA+dWe/2hRavxrC9fVaajU6Pf8gbDa01DR2emGu/55Qa61/Ci1P78weCbNrfwlVL4rtxLM1N54Gbl9HjDWCzKgnSxYg11Hfnv0L/Vxxf7qJDv55MxkkJMRqMy3Rw+cIyLl9obGriCwRp7fbS0eNDKUWGw0pRljNhm7CMdE6blW9fMpuzZxTy9ce2cu09b3HpglI+e+505pYNHmwebuvhnlereXDdAQqynNy/cmlUm5yMJH3LYZ763JmD9nAeSjCoue0f28nLcPDV96c2qx42a3wOgWAH/9p2hE8sn5KQMddWNzO5IGNY1muEWwJWN3VxRpyLWZs6vQQ1lMRRBhPOfvd4A0MG693eAOkOa9TlOw6bBZtFRbXANFxiE+sCU19g6BsNl8ePxx8ccnfR/maNz0Epo+NOJDsOd9DlDcTUsnEww7lfhBBmDBqsa62nAoRaNX4LY3OkNOAzGDXsf0j2CQoxWtitFoqz02L+h+lkc/aMIl7+yrn8/tVqVr9Ww7+2HmHJpDwumF3C0in5jM9JI81hobnTy/a6dl6uauDf79WjgetPm8zXLp5Fzij89GFcpoOffGg+t/z5bW5/Zgd3XGm+SvD+tfvZuL+Vn129YMR0VyrKdjKrJJun3q1LSLDu9Qd5q7qJK2LoYx2P8TlpZDisCWnfGG65WBLH93q4rrzL6x9yr4Jurz/qto294zusUS0wjbUtJEB26Nxdbv+gwXpjjD3Ww7KcNibnZ/T2su9v/b5mAFOLS4UYjaL97twG/AOYhtEZZhHgAxYDq5JyZkKIUSvdYeXWC2dy81lTeXTjIZ58t46fP78r4muLsp2sPGMKK8+cMuo64vR34ZwSPnXONO55tYb55bl8JMa2cmCUv9z5XBXvm13CNackbyMiM65cXM6da6o42NzNpIL4/q427Guhyxvggsrh+QRFKcW0osyEtG+sDwXr8SwwzeiTWR9KlzfQ2zs9WplOW1SZ9e4Y20ICvaV8Lrdv0EC8ocNcsA5G3XqDqyHic29VNzO1MJPiBKw9EGI0iDZY/yQwR2vtV0p9FJgHBIHdSLAuhBhAbrqdW1ZM45YV02h0eXjvSAf1HW48/iDjMuzMKM5mRnHWqKhLj9bXL6rkvcMdfO+pHZTmprNi5lD7MB7jcvv44sPvkpth584Px74hS7JdvqiMO9dU8fTmOr5wQXwLaV/cWY/TZuGMYVhcGja9KIu397fGPU44WI+1y0lf4Ux2VxTBek+MfdAhlFmPpmY9xraQYGS+gSF3MW0MZcaLTQTriybm8c7WOhpc7uM+rezxBlhb3Tzg7qNCnIyiLaoMAlopdSpwVGvdhBHoJ7bhrhDipFWU7eScmUVce+pEbjh9MpctKGPW+OyTKlAHYyfc335sCdOLs1j14Nts2NcS1XFef5DPPvQO+5u6+PVHFiVsEWcileels2xqPk9urkNrPfQBA9Ba81JVPWdWFA5rvfC0wiwOt/dEvRnRQOo73FgtisLM+BaYgrF76FC6YtxhFIxFplFl7WNsCwlGzTpA5xAbI5ktgwE4dYpR4rKp383Vm3ub8PiDXDB7dK1pESIe0Qbr92N0fnkY+INSqgJ4Dfhnsk5MCCFGq9wMOw9+chnleemsvH8DL+w4Oujre7wBVj34Nq/vaeLHV82PewFkMl25qJyaxi6213WYHqO6sZNDLT2cP0wlMGHTizPRGvbFWQpztN1DcbYzrhvNzFg6tpjNrEdxI2CqdWMoWO8YIlhvcLlxWC3kpse+BmVeWS52q4W3apqPe/ylqgYyHdaELS4VYjSIKljXWn8d+DzwKa31XYAH+BFwcxLPTQghRq3CLCd/W3U6M0qyWfXgJr7/9Hbae07sTb21to0r7nqDV3c38pMPzefapRNTcLbRu3R+KQ6bhb9vOmR6jJd2GrXIwx2sTys02jfWNMW3yLTB5Y67/WO4Bj2aXuhmFpgaNevR1MPHvsA0vAC8Y4he640uo22jmXIuh83CxPx0Xq5q6P0UJxDUvFxVz4qZRXF1WxJitIn6u1Nr/VKf3x8CHkzKGQkhxEmiODuNR1adzk+fq+KBt/bz2KZa3j+nhMrSHNy+AOtrWnirppmibCcP3LQspvr2VMnNsHPp/FKeeKeOb1xcGVN/7rB/v1fP7NIcyoZ5F+SphZkoBdUN8WbW3b2tIM0KZ8qjzazHWi5k1KzHsMA0hgWseRmhYD3CzWdfjS4PhSZKYMKmFmRR+24TOw53MK88lzf2NlHf4eHSBfHvkizEaCK3pkIIkURpdis/uHwuz37xbC6ZX8obe5v56XNV/OrFPTR1evjq+2fy4pfPGRWBetj1p02i0+Pnn1sOx3xsbWs3bx9o5bIUBFzpDivleelUN8aXWa/vcDM+3sx6jGUwsdSUG+Nbo6xZ92ONYcMlMBaYWi2Ktu4oMutxrL2YUZKF02bhofUHAbj39RoKMh1cOKfE9JhCjEayQFQIIYbB7NIcfnHNQrTWdHkD2Cxq1O4WfMrkccwqyeavGw7y0Ri7cvxzyxGA3s3Ehtv0oqy4gvUeb4AOtz/utoEZMSww7fb6Y+rWYoxvi6pmPVwPH0upilKKvHQ7bT3eQV/X6PKwZPK4qMftL81u5cOnTOCRjYcIBIO8vqeJ71wyG6dtdH7fCGGWZNaFEGIYKaXIctpGbaAOxtdw/emT2FrbzpZDbTEd+/TmOpZMymNifmp66lcUG8F6MGium024bWO8Net2qwWH1UK3b/Dst9cfxBfQZMR4vWQ6rXR7A0N27TFTDw9GOdRgmXVfIEhLtzeuzDrA1y+axZSCDB59u5ZzZhZx4xlT4hpPiNFIgnUhhBAxu2pxOdlpNla/VhP1MZsPtVF11MVVw7RraSQVxVm4fUHq2npMHR/evTTeMhgw6sSHyqz39NaUx55Z9wc13kBw0Nd1meg0A5CXbo+4YDqspcuL1ubaNh73PhkOnv3S2bz45XO4f+VSWVgqxiS56oUQQsQsO83ODadP5rntR6JuhfjntfvJctq4aknqdmadXmR0hDFbCnMssx5/H/wM+9AbF4UXiZpp3QhD75DaY2J3VDA2PBsssx7evdTMhkj9OW1WKk6yzdOEiIUE60IIIUy56cyp2KwWfvPyniFf29zp4ZmtR/jwkvLeHTBToaLYCNb3NsQZrOcmIrM+9MZFvd1aYgzWo90h1cyGS2BkvAerWW/sNOYp3sy6EEKCdSGEECYVZTu56YwpPPluHdvr2gd97e/+U40/GOQTKa45zs90MC7DbjqzfrTdQ7rdSnYCbjgyo2iv2G2iDzoca8U4VJmNmU4zMHRmPZ7dS4UQx5NgXQghhGmfPa+C3HQ7tz/z3oCLNuvaevjzWwf40JIJvWUoqVRRnGW61/rhth7K8tJMbfTTX7rDOmTrxmRn1ru9ZjPrdlxuP/4BauLDZTASrAsRPwnWhRBCmJabbudbH6hkw74W7n3jxMWmWmu+99R2UHDrhTNTcIYnqijOYq/JzHptWzcTxiWmk02mw9abOR9I+PlYF5im9266NHRm3ewCU4AOd+TxGzs95Kbbpc2iEAkgwboQQoi4XHvqRN4/p4SfrdnFCzuOHvfc71+t4eWqBr5zyWzKh3nH0oFML8qipctLS9fgfcIjqWvtoXxcYr6OdIeVbs9QNeXxZdaHHt9vahfavAwHAG3dkeew0eWRrLoQCSLBuhBCiLgopfj5NQuZV57LZx96h//9927WVjfx/ae3c+eaKi5dUMonlk9O9Wn2ml5sriNMl8dPa7ePCQkK1o3M+tDdWsBEN5hQzfpQNfE9vkBvFj4WuRlGZr1tgPaNDS5PQjrBCCFkB1MhhBAJkJtu58FPLuMbj2/l1y/tgZfAouDG5ZP57mVzElLjnSgVRcc6wiydkh/1ceHe7In6hCDDOfQC0y6TC0x7M+uD3AyEN1wys8A0XAbTPsAi00aXh8WT8mIeVwhxIgnWhRBCJER2mp27rz+FQy3dHGjuZkZJVtw7fSZDeV46aXZLzO0b61qNYD1RNesZjmO7jA50MxMOtmPNfh+rWR84WO+thzfZuhGI2L5Ra02Dyx337qVCCIME60IIIRJqYn4GE/MTE9Amg8WimFaYFXMZTG1bOFhPUGbdYSMQ2mV0oIWY3V4/VovCGePOneGymcFaN3aZLLGBY5n1SO0bO3r8uH1BxiegF70QQmrWhRBCjEHTi7NMZdYdVkvCMsbHAuqBs99dngAZdmvMZUR2qwWHzTJo68Yek51mAHIGCdaP9u7yKsG6EIkgwboQQogxp6Ioi7q2niF3EO2rtrWbsry0hG1731tX7hssoA70LhaNfXzroK0bw51mzNSsWy2KnDQb7REWmIaD9VLJrAuREBKsCyGEGHNmlmShNTFl1+vaEte2EaLbZbTL5KZFYJTZDFazHl68aqYbDMC4TAfNEdpfHm03yoUksy5EYqQsWFeG3yml9iqldiilLuzz3B1KqTql1Eal1IRUnaMQQoiTU2VpDgA7j3ZEfcyB5m4mJbAWP1wGM3ipirlNi8LjD5ZZD3+qEGunmbDCLCdNLs8Jjx9tNx6TYF2IxEhlZv1ioByYCVwO3KOUsiilzgaWAxOBu4DbU3eKQgghTkaT8jNIt1upOuKK6vVt3cYmStMKsxJ2Dhm97RUHz6ybDaYznLbeUpfIY4eCdZNlNoVZDpo6IwTrHW4Ksxw4YlwUK4SILJXdYAqAP2utg0C1Uqoz9Nj5wENa66BS6mHgOwMNoJRaBawCWLlyJStWrBiG0z5RU1MTVVVVKXnv0U7mzhyZN/Nk7sw5GeftIzMsWF2HqaoaOqg80t7DxRMClKsWqqpi2/l0oLnzdLi5eEKAtsP7qfI1RTy2Ms1Fmt1qau6X5fUQ1N0DHuttaufiCQFaDu+nqsUe8/gLs7vI6O48Yfw8bwOXTAzGfb2cjNfccJG5M2ekzlvKgnWt9V/Cv1dKXQ5YgSagBFgXeo1bKeUYZIzVwGqA1atX68rKyqSe80CqqqpI1XuPdjJ35si8mSdzZ87JOG892738Y2c93/7YrCG7rbz3Ti1rag/ztY9UMr0otuz6QHNna+hkzRN1XHJ2GZWVZRGPfePZemaWZJma+33rXRxpd/O9AY5d27SPNbVN/HTmrN6+6bF47pCFJ/ft4Wf/NRO79dgNz63PN1KWmxP39XIyXnPDRebOnJE6byn9jEoplaGU+i3wC+AarbUGNND3p2b0S/WFEEKIKFWWZtPS5aUxQilHf/uaurBaFBMTtCESHCs/GWyBabfHT7o9OQtM49kUCaAw22hh2dJvkWl9h1t6rAuRQMMSrCulblZKvdHv1xXAa0AnsEhr/V7o5UeBstBxaUBsnzcKIYQQUagcH1pkGkXdek1TF5PyMxJahx0OkjsHCdY7PX6y08wF05lOK11DbIpktyrTX1NRlpGNb+yzyNTtC9DS5WW8LC4VImGGJVjXWt+ntT6r7y9gBvCK1vqbWuvuPi9/HrheKWUBrgVeGo5zFEIIMbbMCXWE2V7XPuRr9zV2MbUwM6HvnxXajGigRaBaazo9/t7XxSrdPnhmvccbIN1ubnEpQFG2EZA3uNy9jzV0hDrBSGZdiIRJ5QLTRcAFSqmr+jy2VGu9QSm1FTgE7AGuScXJCSGEOLnlZtiZUpDB1tq2QV8XDGr2NXWxfHpBQt/falFkOKx0ek7cWAigxxcgqCErjsx6t9eP1jpiTX6nx0+myRsBgPI8o+f84bZjwfqRUI912RBJiMRJ5QLTjw/y3K3ArcN4OkIIIcaghRPzWF/TMuhrDrf30OMLMK0osZl1MLLrA5XBdLr9va8xI8NhI6jB4w+SFiGD3uk2n7UHKMp2YrOo3gAd4ECL8UF5IvvRCzHWSRNUIYQQY9aCCXkc7XDT0OEe8DXb64yNk+aW5Sb8/bPSbLjckYN1VyiIj6dmHRiwbj2eengwPhkoyUk7LrN+sLkbq0VRlpe4nV6FGOskWBdCCDFmLZxgBOBbageuW99xuB2rRVE5Pjvh75+dxMx6uB59oLp1l9tHVlrs/dX7KstL43Db8Zn18rz041o5CiHiI99NQgghxqy5ZblYLYoth9oGfM2Owx3MKM6KWEoSr6w0W29Q3l84iDcbrIfr0QcM1uPMrAOU5aVT23osWD/Y3MXkAimBESKRJFgXQggxZqU7rMwpzWHD/oHr1rfXtSelBAaMQHzAMphwZt1kQJ3hCJXBeAfO3GfHUbMOMLUwk8PtPbh9AYJBTXUSuuYIMdZJsC6EEGJMO2N6Ae8ebO3dJKivhg43DS4Pc8tykvLeWU77wGUw4Zp1p7lSld7M+gCtIV1xLjAFqCjOQmuobuykrq2HTo+f2aXJmSshxioJ1oUQQoxpZ1QU4gtoNu5vPeG57YeNWvZkBevZaTZc7sitGztDj5vNrIdr1iNl1v2BID2+ANlx1qxXFGcBsLehk51HjIW4yajtF2Isk2BdCCHEmLZ0yjjsVsXavU0nPLd+Xwt2q2LBhLykvHd2mrHAVGt9wnPhzHq4q4uZsYGINfG99fBx1qxPLczEZlHsPOJiW107FgUzSyRYFyKRUrkpkhBCCJFyGQ4biyeN440Iwfpb1c0snjSOdEfiF5eCUbMe1MYGSBmO4/9Jdnn8OGwWnDZz750TyppHytyH6+HjXWDqtFlZPCmPN/c2YVFG3/p4NloSQpxIMutCCCHGvPMri9lxuINDoU19ABpcbrbVtXPm9MKkvW/WYNnvOBeAhsfuGCSzHu8CU4CzKorYVtfOltp2zp1ZHPd4QojjSbAuhBBizLt0fikA/9hyuPex53fUozVcPG980t43vMDTFWGRaafHH1eZit1qIcNhpaNnsMx6fDXrANcunUC63Uqmw8rHlk2MezwhxPHksyohhBBj3sT8DM6YXsBf1h1g1Ypp2CyKRzYeZEZxFjNLspL2voPWlSegW0tOmp2OCGUwnZ74Fq/2VZqbzqtfO5eghuKctLjHE0IcTzLrQgghBHDL2dM40u7m3tf3sWb7UbbXdXDTmVNRSiXtPbNCbRkjtW90eRIQrKfb6OiJMHaCatbDinPSGJ8rgboQySCZdSGEEAI4d1YRF80t4c41VQDMK8/h6lMmJPU9e8tgImW/3X7K8uILgHPS7Lg8g5TByGJQIUY8+S4VQgghAKUUv/7oYla/VkOXx8+qFdNw2JL7AXQ4sx1pF9POhGTW7TS6PBHHhsSUwQghkku+S4UQQoiQNLuVL14wY9jeLxyMRyqDiXeBKRg3A9WNnSc87nL7sFpU78ZJQoiRS2rWhRBCiBQZqnVjuKbdrJw0e8RuMOHFq8msxxdCJIYE60IIIUSK2K0W0uyWEzLrHn8AbyAY9wLQnHQbHe4Td0h1uf0JW1wqhEguCdaFEEKIFMpy2k/osx7OtCeidWMgqOnxBY57PBGdZoQQw0OCdSGEECKFstNsJ5TBhBecZiZggSlwQvtGl9tHTgI2RBJCJJ8E60IIIUQKZafZTti4qD1UZ56XHl9AHS516T9+IhavCiGGhwTrQgghRArlptt7g/Ow3mA9I/4FpsAJi0wTsTuqEGJ4SLAuhBBCpFBehoP27uOD6bZEBevhMhj3iePnxpm1F0IMDwnWhRBCiBTKS7fT2u097rH20J9z0x1xjZ0TLoPpU7MeCGrae3yMi/NGQAgxPCRYF0IIIVIoL8MogwkGj7VXbAtl2uPNfocz664+mXWX24fWRkZfCDHySbAuhBBCpFBuup2g5rj2je09PjIcVhy2+P6ZPrbA9NjYrd2JKbERQgwPCdaFEEKIFApnuPvWrbf1+OLuBAPgtFlx2izHLTANl9yMk8y6EKOCBOtCCCFECoWD8raeY3Xrbd0+chMUTOem23vLaoyxjfeRzLoQo0PKg3WllF0ptVUpNaXPY3copeqUUhuVUhNSeHpCCCFEUoWD5r4BdXuPl9z0xLRWzM900Nx1/I2A8b6SWRdiNEh5sA58F6gI/0EpdTawHJgI3AXcnqLzEkIIIZIuHDS39Amomzu9FGQ5EzJ+YZaT5i5P75/DNevSDUaI0SGlOyIopRYA84ANfR4+H3hIax1USj0MfGeQ41cBqwBWrlzJihUrknm6A2pqaqKqqiol7z3aydyZI/NmnsydOTJv5g01d25fgIsnBOhuOEhVlQuA+VmdzM60JGTOT83r5miHu3cs1dbEByYGOHKgmqNKxT1+ssg1Z57MnTkjdd5SFqwrpWzAr4AbgIf6PFUCrAPQWruVUgN+Tqe1Xg2sBli9erWurKxM2vkOpqqqilS992gnc2eOzJt5MnfmyLyZN9Tcaa15+eGDTJ6ex3WVlbh9AZ7+UzUzZpZSWTkj7vd/dE+QZw4c4qc3G+dw//atvN3mZvbs2XGPnUxyzZknc2fOSJ23VJbBfBV4RGtd1+9xDfS91Q8M3ykJIYQQw0spRWGWgyaXUQYTri8vTFAZTEGWg06PH7fP+Oe0sdNDcXZixhZCJN+wZNaVUjcDN/d7eCFwWCl1KzAJeEkpdTFwFCgLHZcGeBFCCCFOYoXZTho7jbryJpfx/0QF64VZxgfUzV1eyvPSaXC5JVgXYhQZlsy61vo+rfVZ/X5la61naa0rMWrWL9Ba7wGeB65XSlmAa4GXhuMchRBCiFQpynL2BulNoaC9ICsx3VoKMo3APDx+o8tDkQTrQowaI6EbzHG01huArcAhjGz8D1J6QkIIIUSSFWb1yax3JjazPj43DYAj7T0EgpqmTi/F2WkJGVsIkXwp7QYTprU+t9+fbwVuTc3ZCCGEEMOrJDeNpk4PXn+QutYeLOpYkB2v8rx0AGpbe2jt9hIIasmsCzGKjLjMuhBCCDHWTMrPQGuoa+vhYEs3pbnp2K2J+Sc6L8NOhsNKXVsPta09AJSFAnghxMgnwboQQgiRYpMLMgA42NLNodYeJuYnLphWSlGel05daw/7mjoBmFqYkbDxhRDJJcG6EEIIkWKT8vsE6y3dvX9OlPJx6dS19bCvqRuLgokJHl8IkTwSrAshhBApVpztJM1uYUddOw0uT8KD9RnFWexp6GRPvYuyvHScNmtCxxdCJI8E60IIIUSKKaWYX57LwxsPAbB40riEjr940ji8/iDPbT/KzJLshI4thEguCdaFEEKIEeCsiqLe358yOdHBel7v7y+YXZzQsYUQySXBuhBCCDECXLqglIriLP7rrKmk2RNbplKam85NZ06hJMfJRXPHJ3RsIURyjYg+60IIIcRYV1GcxYtfPidp49/2wbl8/7I5KKWS9h5CiMSTzLoQQggxRkigLsToI8G6EEIIIYQQI5QE60IIIYQQQoxQEqwLIYQQQggxQkmwLoQQQgghxAglwboQQgghhBAjlATrQgghhBBCjFAnTZ/1I0eONP3whz88kIr3fvPNNwvPPPPMplS892gnc2eOzJt5MnfmyLyZJ3NnjsybeTJ35oyAeZsc6UGltR7uEznpKKXe1lqfmurzGI1k7syReTNP5s4cmTfzZO7MkXkzT+bOnJE6b1IGI4QQQgghxAglwboQQgghhBAjlATribE61ScwisncmSPzZp7MnTkyb+bJ3Jkj82aezJ05I3LepGZdCCGEEEKIEUoy60IIIYQQQoxQEqwLIYQQQggxQkmwLoQQQgghxAglwXoMlFJ3KKXqlFIblVITBnjNeUqpH8R63MlsqK9/oOeVUo1Kqb2hXw8P71mnlpk5G+vXGZietzF7nfVl5uebXHOm502uOQafO2X4XWiOdiilLhzqmLHC5LzJNceQc5eulPpnaI42KaXmDXXMcJFgPUpKqbOB5cBE4C7g9giv+SbwQKzHncyG+voHel4pVQJs0lpXhH59dFhPPIXMzNlYv87A9LyN2eusLzM/3+SaMz1vcs0R1dxdDJQDM4HLgXuUUucMccxJz+S8yTVHVHN3LXBAa10B/AD43kj5OSfBevTOBx7SWgeBh4GzI7zmXeBxE8edzIb6+gd6vgKYqJTappR6TSk1e9jOOPXMzNlYv87A3LyN5eusLzM/3+SaMzdvcs0Zhpq7AuDPWuug1roa6ATOHeKYscDMvFUi1xwMPXfrgV+Efm8F2qM4ZlhIsB69EqAOQGvtBhz9X6C1fh7YEutxJ7mhvv6Bnk8D/gUswbiTfXA4TnaEMDNnY/06A3PzNpavs77M/HyTa87cvMk1Zxh07rTWf9FaPwaglLocI3gaP9gxY4SZebMh1xwMPXdVWuv9SqnngL8BvxvqmOFiS8WbjlIaUH3+HEjycSeLob7+iM9rrV8CXgo99qJSyqGUytNatyXrREcQM3M21q8zMDFvY/w668vM9SPXnIk5kGuu15Bzp5TKAH4GvB+4EvjcUMeMATHPm9b6PeSagyi/X7XWH1BKLQHuB96M5phkk8x6BEqpm5VSb/T9BTQAZaHn0wBvlMMdNXncqGNy3iLOj1LqtH4LOXyhX2PBUNdMpOfHzHU2iJjnbYxfZ32ZuX7kmjMxB3LN9Rp07pRSWcBrGGUci0IBp1xzJuZNrrleQ83dzUqphQBa63eAvKGOGS4SrEegtb5Pa31W31/Ac8D1SikLxiKElwYfpdfzJo8bdUzO20Dzsxi4I7SyfQnQqbXuGqYvJdWGumYiPT9mrrNBmJm3sXyd9WXm+pFrztwcyDVnGGruPg28orX+pta6O8pjxgIz8ybXnGGoucsFPg6glFoGHIrimGEhZTBR0lpvUEptxfjL2wNcA0aWBPii1vr6WI4bK6KZtwHm5z7gPGAfcBi4cbjPPVUizVnf+Yr0vNa6cSxfZ2Bu3jAWEI3J66yvoeYu2mOG7YRHCDPzxhj+2dZXFHO3CLhAKXVVn8OWAnLNxT5vZyLXXDRz90fgYaVUNVAP3KK13jESfs4prXUq3lcIIYQQQggxBCmDEUIIIYQQYoSSYF0IIYQQQogRSoJ1IYQQQgghRigJ1oUQQgghhBihJFgXQgghhBBihJJgXQghhBBCiBFKgnUhxElLKfUnpZQe4Ne5oec/n6T3LlFK3T/Eax5VSmXHOG7SzjnCe31loPdSSm0N7ZYY/nOGUuo+pVSzUuqIUup2pZQKPZeulHpIKdWllKpWSl3W57jrlFJ7lVIupdRzSqmJocfHRfg7C29YUqGUeiU03rtKqcURzm+xUupIv8dWKqVqlVLtSqm7QhudoJSappR6KXQOu5RSHxpiXo4bWyllUUr9PPR1Nyml7lZKOUPPFSqlnlBKtSmlDiilPjP0zAshxDESrAshTlpa65Vaa6W1VsDjwE3hP2ut/xN6/rdJevs7gN8N8Zo/A9+OZdAknzPQG7x+GfhuhOfeF7oJmd/vqS8BU4FK4BzgauAToed+jbH9+QTgFuDBUHA/GWOOVgLlwG6MOQGYDqzr8/eltNZ/CQXYTwDPAKXAn4DHwoF36BztwP2Avc9jZwHfAS4CZgCnAuGNi34HvIOxrfjngD8qpWYMMDcnjA18BLgEOB1YCMwFvhl67keAB5gMfBj4vlLqnEhjCyFEJBKsCyHGrL5ZaqVUp1LqC6EM6N5Q5v1lpVSPUupppZQ19LrLlVI7lVKtSqm/RcqMK6XygaVa6w2hPy9WSr2tlOoOZYIXhF66BrhSKZUWYYwpfbLHu5VS5w9wztf2yeiuCj2ulFI/VEodDf36cp9xVymlapRSjUqp34aCz/4qgWnA0QjPnQ1E2qr8HOAurXWj1no3cDdwrlLKgRG4f11r3aq1fhkjoPUDy4HXtdZvaK07MILps0NzPQ1jx8X+ZgK5Wutfaq07tNa/Do3VN7v+bWB7v+NuBH6htd6htW4ALgaeDWX/VwB3aq1dWusXMbYUPyPCew809jnA/VrrA1rrOuDnwLl9nvul1rpda/028FCf54QQYkgSrAshhCEdmAJMBDYAzwG3YQSuZwFnKKWmY2Rhb8QIJgPADyOMdSmwts+ffwM8AOQDj2Jk3dFa+4EdRA7e7gDeBgpC7/GrCK9xApcBc4DPAr8KBbo3hs7hFIxtxr+hlFoQyuh+BSMLPD/0tZ1QlqG1flZr/XlgfYTnbgs919+ngGf7/HkJxhbdM4AO4JehG48qYLbW2otxs3JLv2MOa60DGPM7N1S20qCU+qVSyhb6mgP93tsbej2hG6GrgP/p95pFQKVS6pBSqgnjU4O20HOLtdZNoeMdwLzQuR9nkLFvB/4Q4WsH4+9nS+h4hXFTccLYQggxEAnWhRDCYAF+prV2AS8C/9Fav661PoARUOcCHwX+orXeoLVuBb6MkTXu7yxga7/HSoA04M5+x2wJvT6S/ND7/hVYGuF5G/CT0Lk8hnHDkY5R3vFjrXWd1npn6M89wMeBX2mtq7TWRzGyxJHOP2ahrHK3UipPKfU7jIzyb4BxGCUgR4DxwFeBh5VSRVrrNq31ETBq10Nfw1fDQwKvYwS3yzFuOr4A7ASsSqmblFJZSqlPYQTXzlAw/0eMGxBPv1Mch5FBXxEa8zzgFm2oCp3DLODfGOU4r/Q9eLCxtdaHtdbtyqjNvx2jlCZ8Q7ZXa+1TSpWFvr5sjL9PIYSIigTrQghxTLi8I8jxpR7B0P8nAF9XoQWPQD1Q1rdeus/rmvr8+SaMGuwa4A2MgDGsCaNeu7+vYmSQtwKbMTK6kdQCaK2DfR6bAOwP/0Fr/aLWek/o8bv7nP96jE8SEkIpdSlGMJ0JLNNaNwI+jMz6baEyk2dCX88ZoWNKlVIvYJTAXK21fjR0zndqrT8fKqupBn4KfCCUkf8wRuDeAJwPbAJaMObsDa31WxFOz4dxA7NPa30Io47+otA5KKXUN4F1wAvAVVpr3e/4wcZGKXU6sA3j04xloVKg8HM3hZ47CJyrtXZHM59CCAFGVkYIIUR0jgI/1Fr/AHoXG07rFyhHUoqx2DKAEWg+ppTKDx2nARXhmEnAV7TWq0KLI/+tlHo5wuv6B5Vg3ERMwFg0iVLqGqAudP43aa3/FHo8AyPjHzdldHi5GyPgfrPPUzUYiSELx256LIBbKZUL/AejjvvHobKg8HifAP4dzrxjzJ07VErSqLVeEnqdLfS1bQFWAVcopf67zzgaI5NezfGLQi1AOGi+EyN7vyAUyEdy+iBjW4GngE9prZ/uNy+fAT4PrNBa7xhgbCGEGJBk1oUQInqPATcrpU5RSmUCP8GoV+6vFijs8+c/AZ/GCBa7AW+fAL8QI9js76fA90KLT90Yiyi9MZznd5RS5UqpmRj17m6MevmvKKVmhgLle0PnlQjfAz7bL1AnlF1/B/iRUiondOMwE3gLuA7YprW+vW+gHnIB8H/KaOE4FfgG8Fgo4/2KMlo+ZgM/AN4Jlfxc2af7z1SgOfTnzRjdgL6llJqqlJqGUbv/lFIqD6O05YpBAnWGGPvrwB0RAnWFse7hIxKoCyHMkmBdCCGiFAq4vgE8jJGlnoFRn9zfm8CCPn/+NEZ2tQ0jwL+uz3MLQq/v76vAhUAr8Ddglda6LcpT/T1Guc1mjMz1T7TW72itn8NoO/giRkmGDyPYTYS5wD/V8X3R/xR67ibgTIyM/zeBK0PdX+YCH+53TPiTgv/G+DfqIPAa8KTWOtzW8TqMevsGjMWcN0Rxfn/C6PKyGWNu/qq1fgSoALKA5n7nsRKM7LlS6twovvbf9Dv+PxiLg0uAbf2e+0EU5yuEEACoE8vyhBBCxEMpVQC8rLVeOMTrrBhtAJdorXuG5eSEEEKMKpJZF0KIBNNaNwMblVLLhnjpRcA/JFAXQggxEAnWhRAiOb5LhB7m/dyIscOlEEIIEZGUwQghhBBCCDFCSWZdCCGEEEKIEUqCdSGEEEIIIUYoCdaFEEIIIYQYoSRYF0IIIYQQYoSSYF0IIYQQQogRSoJ1IYQQQgghRqj/D66ShWdoQOwXAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Draw the function defined\n", + "times = np.linspace(-0.1, 0.3, 1000)\n", + "freq = osc(times, 30, 0.18, 1, 0.0)\n", + "plt.figure(figsize=(12, 4))\n", + "plt.subplots_adjust(left=0.1, right=0.9, top=0.85, bottom=0.2)\n", + "plt.plot(times, freq)\n", + "plt.xlabel('Time (s) since '+str(tevent))\n", + "plt.ylabel('strain')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Looks not bad. Now we use this function to fit the data." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "# define osc_dif for lmfit::minimize()\n", + "def osc_dif(params, x, data, eps):\n", + " iM=params[\"Mc\"]\n", + " iT0=params[\"t0\"]\n", + " norm=params[\"C\"]\n", + " phi=params[\"phi\"]\n", + " val=osc(x, iM, iT0, norm, phi)\n", + " return (val-data)/eps" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Fit Statistics]]\n", + " # fitting method = leastsq\n", + " # function evals = 81\n", + " # data points = 1228\n", + " # variables = 4\n", + " chi-square = 0.72586206\n", + " reduced chi-square = 5.9302e-04\n", + " Akaike info crit = -9120.38392\n", + " Bayesian info crit = -9099.93135\n", + "[[Variables]]\n", + " Mc: 17.3569277 +/- 0.20107011 (1.16%) (init = 20)\n", + " t0: 0.18039070 +/- 5.8553e-04 (0.32%) (init = 0.18)\n", + " C: -0.04144573 +/- 0.00201508 (4.86%) (init = 1)\n", + " phi: -2.09189717 +/- 0.37798449 (18.07%) (init = 0)\n", + "[[Correlations]] (unreported correlations are < 0.100)\n", + " C(t0, phi) = -0.981\n", + " C(Mc, phi) = 0.893\n", + " C(Mc, t0) = -0.825\n", + " C(Mc, C) = 0.253\n", + " C(C, phi) = 0.209\n", + " C(t0, C) = -0.188\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Fit\n", + "#----------------------------------------------------------------\n", + "\n", + "sample_times = white_data_bp.times.value\n", + "sample_data = white_data_bp.value\n", + "indxt = np.where((sample_times >= (tevent-0.17)) & (sample_times < (tevent+0.13)))\n", + "x = sample_times[indxt]\n", + "x = x-x[0]\n", + "white_data_bp_zoom = sample_data[indxt]\n", + "\n", + "plt.figure(figsize=(12, 4))\n", + "plt.subplots_adjust(left=0.1, right=0.9, top=0.85, bottom=0.2)\n", + "plt.plot(x, white_data_bp_zoom)\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('strain (whitened + band-pass)')\n", + "\n", + "import lmfit\n", + "from lmfit import Model, minimize, fit_report, Parameters\n", + "\n", + "model = lmfit.Model(osc)\n", + "p = model.make_params()\n", + "p['Mc'].set(20) # Mass guess\n", + "p['t0'].set(0.18) # By construction we put the merger in the center\n", + "p['C'].set(1) # normalization guess\n", + "p['phi'].set(0) # Phase guess\n", + "unc = np.full(len(white_data_bp_zoom),20)\n", + "out = minimize(osc_dif, params=p, args=(x, white_data_bp_zoom, unc))\n", + "print(fit_report(out))\n", + "plt.plot(x, model.eval(params=out.params,t=x),'r',label='best fit')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "With the simple analytic model, we actually caught the wave shape for $t\n", + "What you need to do: develop a machinery to search for GW events across a long time range.
\n", + "Tip: You can slice the time into short ranges, and fit by one and see the significance." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "hideCode": true, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# [Hidden code]: develop a machinery to search for GW events across a long time range.\n" + ] + } + ], + "source": [ + "print('# [Hidden code]: develop a machinery to search for GW events across a long time range.')\n", + "#----------------------------------------------------------------\n", + "# Significance vs. time\n", + "#----------------------------------------------------------------\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 4))\n", + "plt.subplots_adjust(left=0.1, right=0.9, top=0.85, bottom=0.2)\n", + "plt.plot(times, sigs)\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('N/$\\sigma_{N}$')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see the significance is significantly higher around the signal event. We can also check the $\\chi^{2}$." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 4))\n", + "plt.subplots_adjust(left=0.1, right=0.9, top=0.85, bottom=0.2)\n", + "plt.plot(times, chi2)\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('$\\chi^{2}$')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "## More things to explore\n", + "Now you have known the basic method to analyze a particular GW event. Now you can explore more interesting things.
\n", + " * Check and quantify the correlation and time delay between detectors (below);\n", + " * Load the template database, fit the data, and get more accurate parameters (MIT_8.S50/Project1/extra/GW_PEInjection_tutorial.ipynb);\n", + " * Determine how far the source of GW is away;\n", + " * Explore more events;\n", + " * Data of other events can be found [here](https://www.gw-openscience.org/eventapi/html/allevents/).\n", + " * How to determine if the source is black hole merger or neutron star merger or other source?\n", + "\n", + "**Have fun!**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Optional - Exploring Correlation and Time-Delay between detectors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, we can try to analyze data through multiple detector streams. Recall that LIGO employs various detectors (Hanford-H1, Livingston-L1, Virgo-V1) to decrease their false positive rate and identify the region in the sky where the GW arrives from. This can be useful to alert the multimessenger astronomy community of an interesting event - think when Binary Neutron Star (BNS) merger GW-170817 was successfully detected by LIGO and allowed observatories in various EM-wavelengths to point their telescopes at the event, allowing for experimental evidence of the creation of heavy-metals whose origin was previously a mystery. Since detectors are located thousands of miles from each other, the only seemingly correlated signal between each should be a GW.\n", + "\n", + "In this section, we will correlate the signals from H1, L1, and V1 from [GW200129_065458](https://www.gw-openscience.org/eventapi/html/GWTC-3-confident/GW200129_065458/v1). First, read in the data and perform the normal bandpassing and whitening: " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'data/V-V1_GWOSC_4KHZ_R1-1264314069-4096.hdf5'" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Download data\n", + "#----------------------------------------------------------------\n", + "\n", + "wget.download('https://www.gw-openscience.org/eventapi/html/GWTC-3-confident/GW200129_065458/v1/H-H1_GWOSC_4KHZ_R1-1264314069-4096.hdf5', 'data')\n", + "wget.download('https://www.gw-openscience.org/eventapi/html/GWTC-3-confident/GW200129_065458/v1/L-L1_GWOSC_4KHZ_R1-1264314069-4096.hdf5', 'data')\n", + "wget.download('https://www.gw-openscience.org/eventapi/html/GWTC-3-confident/GW200129_065458/v1/V-V1_GWOSC_4KHZ_R1-1264314069-4096.hdf5', 'data')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "#----------------------------------------------------------------\n", + "# Read in data\n", + "#----------------------------------------------------------------\n", + "\n", + "fn_H1 = 'data/H-H1_GWOSC_4KHZ_R1-1264314069-4096.hdf5' # data file\n", + "fn_L1 = 'data/L-L1_GWOSC_4KHZ_R1-1264314069-4096.hdf5' # data file\n", + "fn_V1 = 'data/V-V1_GWOSC_4KHZ_R1-1264314069-4096.hdf5'\n", + "tevent = 1264316116.4 # Mon Sep 14 09:50:45 GMT 2015\n", + "evtname = 'GW200129_065458' # event name\n", + "\n", + "strain_H1 = TimeSeries.read(fn_H1, format='hdf5.losc')\n", + "strain_L1 = TimeSeries.read(fn_L1, format='hdf5.losc')\n", + "strain_V1 = TimeSeries.read(fn_V1, format='hdf5.losc')\n", + "center = int(tevent)\n", + "strain_H1 = strain_H1.crop(center-16, center+16)\n", + "strain_L1 = strain_L1.crop(center-16, center+16)\n", + "strain_V1 = strain_V1.crop(center-16, center+16)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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w+e/Gw1U43ZK3l0S+e/vekd2F23D+9C2gV9SEvvfBoTH8fUMuoxRBFG5+d1nA5S8YrU7Gv/kmX6b9mSafPGX86wzp8tbIZ/fjRNdebnrnVy55ZUlEhwne9ZhItOuxO3Nr3SYwWAsSt6rewbrK9JpyUo1SBDpsrbbz88Zdmt+Fd2rzV1byxNc+23S6BctTPB5wZnDxNd7nEPxM/YO5tZX1rN+R+hd64ZqqlM4c/fy4ropTHptPkys1+Ze1ZqSJLvqv8plOau2h3lzzV1Zy2hPfR5yfD7ry1YXrWbimCghtbyc8+i2f/16RHaESRCkCHQ69bw5bNUYvENlIJz63iHqHW/M7hZfKuiaG3/VltsUwhH9GUGt3ceR/5qa8/PmrKjmndGHKy71t5m/8Ul7Nqm3pS+biSVCXW32pXZ1h9rZNu7S9g3YYCMzX5HLz6JyV2J2pUXzxcuvM3wJ/B7/3W7KUuyEZlCIIQ0rJf7+InhQ6Wl+fShPI7rZEUJuB+DgBkngMmYiBnw4vkGaTVsqLDpBo+/abTsO96pK5168u3MBDX67gGQ3zbabJJ9OnFkoRhLG1xs7/vloV9ZyoNt4UtYd5K7azsyGz0R93J5LxGgrvm4pv/iTCpJGL+OVOhSJwuT3UaPzmRMqubnDS4NAeBCSjCPxumZmOkqpFsvf8983V1GdyoBSGUgRhGElTF/WZp2gwef7zP6SmoCA8HklVkrHw84VUj4rz4b75m+4L361lm45Z0yg3v7eMa9+MTIqUyG3d/64vWKezQcyURA/kn2XkgkdpMiK4PZITHp3PlBezt3dCBZ0Lw0hGpGidjFb+glxgY1UDT89bzasLNzD/H2Pp3bF1tkVKKfvf+YXud0vWV2E1m9ivdweAhEwJudDZxMI/un5v6SbW7ajnvctGJlzWBz9v0jxu1Gvo5QXrKNtai90R3X6fCjNcqs0yiZSWjCeY31y2aG1VwmUki1IEYRT++ipdaEUl7aOcpf/Qc9X3f9QDXwf+3rzLrqkIdtY7aN/Kmv30gAkQbh4IfkKnP7kAgHX3nwDAvZ8uj7g++HytdzrX40sN/NdnOIK8sowstkbD20FH/majt+H2NAf9W76lhtnLc8cz59JXf+KrG46kZ/v4w2fnQttSpqFgKldS9MV1LLZdSrHYonvaXR8v1zUV5EMXqtXwdjU4OODuL3kwxkJ5vpDMCE3r/uS6778jzDXXleRuOIveYCDFtyHR3fPHPfJtwHUzF2h0uvm/z8qSLidb7UwpgmA2/xz488OC23RPm7diO//53PvQv18dGlUzV2cEwWh1dLV270LVBz9vzrQ4ukgpefbbNcz6bSsrK+ILgZzq8Bw5rgciSDbmld6sMFkzTPh9TEXHl+pnY6Tl+GNaBeOMcs8XrI6MR+Qn+H08+N45BmpPPco0FIylIPBnOxE9+mFdk5vttU2c98yikOOPf72a/t3aMuGA3mkRMRVovTjNHie50+Ot39HAPZ80m3EuOqIvt564b3oq8/3sBoeLb1ZsT08dGcSVpCLQS1OZbPPIdTfL2X9UMNPAYOiBWRoz5yg/7dxnFgZMk+EEP6rKuuyEo1AzgmDM+hmtwvFIGTEd96PlbZFLBI8Wf964i531jpSOoFOlTMJLeXb+WsC7lqEVqiCYJet3UnzzJ/z9lSVxyXbvJ8v5z+epNY9la8NTMui1hmSfbDrGGakcvFz08uKkrn9lwTrd7/TkVGsEOYbbZDwvqJQyL9YDAN4NC971yJyVLCv3RtY89fHvOP3J5i3+qWiSqWjXP23YydgH52qULRl+z5cc8u85Icf0mBUW6ExvoOxwe7jy9aX8vrkmIXmjse/tuRUoLRmS7bTS0eVlvxv1IeC2KIvkeuY6mQPhk5QiCOLZBdouc1rkgBI3hJSS698OnaEsWb+T0578LvB5TWU9Zz21wHd+8nWmYoRz7Zs/ax53uqWGndl4udFs5x/9spl0OExlx/U0PR12so82HaPffHkX9eI0qRlBGEKIsUKIadmq/+fNoesCJ5oW6J7rkTInHmAs9ESMjPnizSiWChtuKjq+vTq30Tyu1ZHH8xxinZuJ8BJ+NlblXxauZNvHdW/+zEKNRC7J4JEyp9a29NCL05QL/UjOKAIhxM3AS5ms88+ttc3228adPGn/R8j3jxX8T/daj8zOSOSiODM3RWtkWi9PKn5TOhcEtRbT4lE8sX5fJvdQBO/t0KKq3kHxzZ/ofp/Ozk+36CSrXLejgYnPNjtYpOInvLZog+4MMpfQnxFkWBANcslraCnwrtYXQoipwFSAyZMnM3r06IQqqKyspKzM6/bpdHt4/OtV7N21LSftvwes+QZ6TIi4ZrxOSN9+hTVsWreK8b21v/fXkyha5fZvJ1lVsyWust0eGVXG8O/aFDqSlt3l9kSU27+dVw6jZQ9qVUtrDbnvnTGb8T6HLH9ZWvVpUVZWhsMV/dzebevopPG9p7Em4fsSrb5oZW7e1RjzWv8if/h5rQtCn2Nw2zfC2B5OzUXuDWtXUVUYu9uIJrfZJJpl2VUT89n5246f5cuXR1xjr9xIWVn8m7nCMfo+a53Xzr5N970d39vNqhV/YrOaI76vb3KFXKf1XmrJkEpyRhFIKT8XQvQEijW+KwVKAUpLS2VJSUlCdZSVleG/ttbuZNYra7FVNHHj2SWw5DbYGhmmYJb9TM2yjmpbxJl77s2st7TT0D2VoIyBel9cHXFsfG83s8rNcZVtd7qZ9bJ2SIXHBu7DrJdCv+taVMB/k5S90eFm1itrQ47FK/vy72uYVx7dM8hfVoPDFVGf3vm1diezXtU/99CCtiwsj9wseMLQdiTS7jweqfksg2XSo2HDTmaV67syPr5PScDNM7yOLm0LeCio7OC2b4Sv3liPlmPWtOL+9Ghvi3l9tN9sEvB4SQkbdjTw059rmFUe2TkG4287fgaWmzWvSfadw+1k9UvfsFJGun6Hl639+9xApFx++f/dbwCd2hREfF9RY2fW680pbp8qKdEsP+nfF4WcMQ1lGv90LDBb69xf87zLzDM1j1c3OlmyfmfqBUsx0UxDRvMxx0Ojw83/zUrfyEULo1Pruz/+I8QsoUUqrS2zfttKv1s+Tfj6WOsV2bCLp8Ke7X9eo//zNS8viD/H96NzViYtQwQeN7x1Pl8W3sSeIj2hK/QcFdQaQRaJeIn2OEDzvJusb7HOdh6l1v8iaF7tWbx+Jze8ndv7BSB6J6ndAJNrlK8uXM+L369Lqox4MfoiPTd/Lb+UZy4h/fPfxZ6lTPvwd91wJbGWK7LRfdw287eMZprLGF/dDX96lfZQEfu5JYJeO82FNYIWqwgitPOuDVHPP8a8hCLyy8vD5fbwWJTcCsdOnxdxrMbuojFGxMhoxLN5au6f21KS2zWVftipfCe7tI00A4Tz4vfruPvjP7RliSGMv2PZqpERK/kdwNrMKdvGvN1g53UEPz4f+POv5tkRX6di9qU7Iwg7nukZNbRgRRAwDfkPiNi3Ih5/kgey8DDD+WTZFp76Rt9Wu14jRrzD5WH8I14FUWt3Mu7Bubq5m5Nl8gs/Msa3aWxbrZ2dCUbMTOnUOkVFLVi9g0+XbY19IugmJIn1u6SEz5Zt4dD7vJvrhosVvGy9Lz5BE2C3nBE0Nc8UDzf/wb5iXcjXF7+8GLvTjdsjeWR2YqYp3Q1lYYefnKv/zqaLnFIEUsoXpZTTMlFXxEvWpkvMa36xTaUDxoKfPZGFhxlMo8OdcHxzv4JYumEXayrrAwH20smIe+dwwN1fJhRrJZWKIFWur+c+Yzwn8Rd/VPD+0vKI40Z+V/Azfq9wGqPNy+jKruSDH0apOnwPSr5j//axiGNHmJaFfJ69fBs/b9zFl39U8PDsFQnVo28ayv79zClFkEn8N9/h8vDjuiqYP93QdWeYI80pucgt7y9jxqLo5q5YROtMvvyjgkUaG4OS7YAOumc2i9bsoMJAAvBvV3pNFKm0seq9k3anJ62Ls1rxqWINvIM7kF40m2ucmNOctzi32VHXxLgH57Jqm7FBm23OvyKOFRKZ/tLhSq4NaLVTu9PNP99bFnH8LPPXDBeJKZxEaMGKoPnvM59aAC5jqf2sGLeBB2x/C5+EnfF7R8QsNwrLtyQfM8efbW1bTVNE/tqLX17M2aULOfF/38b9cjhcHkrn6c+Yzi5dyJ8Gwk7/7bkfWLRmR0a8Z+aUVfD24shRezqJFUpaymbF+2bh3YHjPxZexl7SeLgUzbITvK6yrinqJrh0s3lXI+Mf+ZY1lfVJzcqXygERxzxSYjEn3mVqjfwfmbOSBRoDqgesz/Be4bSE64qXlqsIwl+yfU81dJ0F4wmmPVLCjtUw62Z4ZL84pDNQbgysSTRYP/5OZuW2Ovabpp0K8rdNNWwICpUQK4rpi9+t5cXv1/LvT4PMTa4mTjJ9z6vWezHHoWgBNlc3pnRGsDiKS3C09ZZ0EFMR0Kysu9Mst1W4ec9zNZSHRtI89fHveG1R8gOSaIp3xdb48kakmttm/sb2Wq95MdUmLCmTSzz19uJydjWEroMl45iRSlquIghvzL0PNHTd9dZ36IGxWCluKaE6/lHkCY9+G7vcGOjFk48HoyXE88JN++iPSBfOty/gfwWPcYT5d3oQ37pGk9OTMRur/75f99bPms4AUkrm/rmNMf+JHjoi3vr08EjZnEdC64TZ00I+/rxxF/96/zfWGvDUSnSWVaixc9YIT1sfYpzpp4SuDabeYXygFg2tX++Rya0gPfXNah7+MtTcEz5u+qflNdbZzkuilsRoWYrA44bvHgG3M2S0NVisg3emGC5msuVzQ+d536XmetauM5Y0PVYo5FjvaNnWmtR4+qQr7E64/H82mxLiXWPwyMwttvnTP7730yZNs8OHv2xm8gs/sk7DGysRYpkAg0eoBcL4yFIrvHfqiP9ZWHBxrHkxzxc8mHTtIqjRfrW8gvU7EnNP1goyn4qZ589hg6BgeS81f8glllCzWtegmV46aVmKYP0C+PJ2Vn74AOP++03g8HsFt8dVzIXmzyKOdaA2Is+x2yOhVcfA595vHO1VRj7u+OA3Tn38u5BrjIzEYpkMxk+PPqMwijCsCbK3fCiJDEudcXZtBCkp39mYXDmuJpjWHj67ma//3MY7P8WYTcroinP7Vv3rP12mn5PbV3RCxP8sJAsKr0iwtlBeWbg+5H7UO9xMeOJ7XG4Ps/+oiGuWM6Pg33QL64RTEeU0/PpgeQeYIp/Xj7bLk6rPKC1HESz/CNbPB2DPXx4J+apQxDedtGqMvt4tmMbcwutDjsntf8LTzQHyrPZKuKsTc5Z7t7C/tGB9xMjdyKjDyAh4P7GadiS3WUurk6mxO7n6jaUhx4LFMTKiD1ZkrTC2SK9HJmcEEZ2A2wlPjYLpQ+C1M5KvoG6b9/9FT3LBCz/yya+xOmsZdU3G3lDXfK6U9BbbOcHkdWu97LWfDJmINOuNcrvjfRI9qKKrSE0yoNtm/hbR/qrqHTz1zWouenkxs5dvi6u8IabQHcYySdOQt4zQz8EW3D88e0W9Vm8HeipoOYrg5xmBPwtpintRUo/Xrfcwp+B69jZFvrTmddoj8wtfWqw7snDpBS0PItYpAg8fFt7Gr7aLY5alx6/luzTNH+//tCkiwX232VfBr28bLjs4n+4bBfeEfHeN5V3i6U6klBnboh9RzZIXYeuv3r9XzU4+xaVBz7WDRRnXW97CuvRFTll1O13QDpvRx7QdVn8FeBXm/MKrebzgUdpRR1saqGmMdJH0k6huNeLRFlJP2KyzPXU6ZxpDKz7Tg1947fJbqjVmbJ/epFvW9ZbQNp2OpE1+RX6y6Xtutb4W9drhd3+ZvAA6tBxF0KZryMelhZcE/rZL4ykqwznM/IemEgBwdSjWva4xKBTDtqAwj7HMPhDamE5/8vvQDV9S8l/rUzHLiMU5pQs1QwloDUDbr3wP3rvIX31MguXf3xS6bnKGeV5csV5kBmcEESxJcfqMIEUwOGxnazBvF97FlZaZtPnyRgZXfcHcwmv1y3zFG1o9eODxq20qv9ku4rP5P1Cns6s5GtHGxfHogT2oZJEt1Cz0i21q3PIE4/cY0sLh0hhB/fC07vk9RKjjglsmb4YMv96vOB8tiNzUlklajiLYGrppo51oCGzCecV9dNzFmdAelgev+JvXaW8+21+sCmmUI/49h+oG7+jMiCJwS4nT7WH0A1+zZP1OHv86aOS+9htOM88PfCwrnBSzPC0adNzawk0RnYNHo476lKxx9BHGp/CZzE4VUU1FaJvSaxOGWd+cEe+TwlsMX9ZWRJ9J/LJxF499HRlzqtvvz/HQF9qblqJ19tFut5H26+dU83exT4qTsijuq/E2k7aEziC8yaiMFVKAk+es/2F54WS6BJm+wgctktjt5gXr/zWfn6a23nIUgbV1xKHvbFcD4EwgLcNL1vt1vxtpWkYhDqwbtBXBB4W3c/1boTtJq3z+xYZmBB7JzKWbQvz3fV/Ay6eEHLIJ/el/IoR7pS6xXdr84d97xD0j0GKEKb7EO9+v9rrzFtHAjZY3sOCiFXZesP4ffeIMKdwau+66hUQy3RdeoJ+IzBOwxjYx4thwsYJ1tvNiugS2xg6f3RiXrEYp26ptgx8oNvL571vZWNXg3V1vkMDj27oM1swNHH/oiz+Z+spizWu0SJV5Ni5qNsP86dQ1uWLGTApfO/R4jK8RHGwq4yjzUloJBxM1gtgFypSS+y3PRC1rrLm5r0hXeI+cSUyTdiyFoDNrPNAU/1buUebfMOtE2nyt4D5ud07Cui1y67ifOWWho16n24Pd6eY1A2EhPFLHXzvKNFfgoQAXTcSOiBmNWJ5ERppprBdQxLFGcO+ny5HS2+H6d2Jebvkw8P1D4knOdEwzXN4ftmY34mL7jJDvqhudTPcFHPuq8AZD5RndHXqSOTI/9mCxlt9lX0PXR6PAoj3eKxKNbNrVGEiZ+fbfD+Ng+0KfO++JuuUFns5TRzQfnFbNo1Ei3WpxoCkNeQWi0L5+LTx0GgBnflJA70EjiN4Fw9Gmxfzo2YfjzD/gkftrm5c06KQTkyxiRiDhLMs3mudqYXe5dZ9nMrScGYFFP6uSls+wEVbb/qb73V3W+OzHHim55o2fDS046m40atT2OR4uVvCS9f/40zYZaxw7o8HrWltq/S9tfNPk0BlBpBxGZgSxRjXxPA1/fXod7sGmFXHtBg/GP5LvThUXmGexpzu2kj7GFF9OaT9ad+STwsgYOC8GmQmSxRxmkijf2QBvnAtLX2Wk+0e+LriWvYVOqIqVYQuXL5yQMrnSxVmLTgv8faBpBV/+EXu2eLRpCT/bLuE+63PMfP9NrjGYGzn8PfOHsA9ezH7sq5Vx5+6wp2knsiFFIIQoEEKcI4S4LPxfWqRKB5ZCzcMTTN/iltnXhx4PtC4wtivT49Gxi5u1F739USkBVtrOj8tcMty0imPMS/jddiF890jIYvFBIlJpGZk8u2LMCOrxKu3LzTO52fJ6zPIONWnH8/ezuPDSqN/HYpHtCtqLBr4o0Pcw8VNa8HDg70HCeDgHu9Run+GMMf8S+6Qw3G5JRxHpjRNsmhljWsqEDwYHPj9X8F/6miqYU3gj94WZLqSUke6y6+cTL4n8Fi0Gio10JD4X1H9Y3jDkuhw8Wn/ZfJfhQcU5ltDd5ctsXmeK6kZnwHvpwS9WMNX8kVGRAWgyOCOJF6M94JvAPcAhwMFB/w5Ki1TpQGdG8HDBk7izMDEaJkKn0S6PB5tBRVBV79D2ATcb60wOEEZj5oR16l/eHjAN9REVvFN4V+QVGnpgf7GKdqJ5PcM/I9AL6e3wWSxvtL7F3y0fcYopeicT7oIaTgfhv1eSy80zdV/mVG/t/6zwn4bOK8TB9Za3op4zzvRTwvKN+fZcJpkjY0UNMm0MbJp6seA/utefa/na0A7XviL6vodg3vomejgJgScwC9VHss52Hl8U/oOltr8brhu8ZrHZhfGvydxqeTXmOe2oZ4RJe2a/pdrOYfd9Ffh8izX2QAdgvOkHIH25IIz2gMcAo6SUk6SUFwT9Mx6XIdvozAiArCiCmYWhu5l/3rgrathoG02093VoZz61IGCrDsFkTJEIg94t62x/jTg24wevjL2EdrwlrfnAB4W3M8U8K/DZv1dCb6Re5tkz5PMjBU/oyriXMJb85VjTD7xgfYAbrW+xynY+g8XauM1kyXKzZQbrbOdFLJL+1/oUe5mieUrJpMIvdKnWX6v6weDO1WBFrjfn+zpsQ2U0zvp6rO53PdnBWttEfrddyDrbeXQV2vskbBjfYHWcKTJXtV4bjsbR5iWaxy80fxLIYfCAtTRmOfFGaH2qYDoAjiwrgqVA15hn5TJR1ghGmn7LoCCh2GhirGkpt3/we8R3R5sW82bBXTxunU6Z7QIuMH8OyEBjWGc7jzkF3pfv89+3GsqyBnCIaXnI5wmmb1lnO8/QtNe/E3q06VfN7/f4JvYoyx+zxyK0G/U22SHi2MigRCFd2eX1sgG+KbwuZn0ATxdMD/G++KTwX6y0nR9SphH+ZWBEqMffLR8DXq+obwuuZor5M/YRGzjRHD2JjVZs/Ewzp/DG5vaRpONKrDj7C2xXhnz+q3kO+4tVEalivZsPm1lnO4+7LC9ElHemeS5PFjwScTwReokdESalY00/cJv1NV4t8GaHM2o+ut8SW2GE43Rl1330TeAdIcR9QojLd6c1AogvYFcqudj8MWW2C3ih4D+ss50X6Nz8PFPwEIeYyjjB/EPgmD8fwsHC62K5t2kLd1le4JJXFnvDXRvgPMvXgYXQSebPebjgSQBW2c4PzBb0bK7rbOdxpnkurXRcsM6xzAWgnW+HaLA5Y53tPAaJ9ThjbI3e2xTpmvlaQXMKxh9tl/GHbUpKTTk/2ow15dPN82JGn40l1+sF99LHtJ3bra/weWHsZxbeLlKNTc+dLow2PjnO+mSI7jkCD1PNH3FJFNt3InH2Pyi8PWBnB+9mNL9iDeZ8S+Tu2/8YGKHHw3LbFAaLtQwXKyiigad9o3U/JoOa0v+uxIPDnZ6+yqj76HDgO6CH71/+YW2VbQki+Jc11D3xFstr3Oq6kO5UMcUSGdgOvIu9I+yP83aQff58y5f01/PuiMGdYd5Na20TGW5/ip+i2FxjvVgnm77X3Sn5WeE/Ocz9XtTrH7A+wwNWbce+bIToDaaTqGNh2IhVi+ti2PzjoU2MDWPJUma7wNB5BQZGumuD9lI87T4J8G6Y+qDgVl53H8UM91GJCRlGrM1oZtxRvfqSRcujy08d2n3NTZY3eMB1TsJ1mvDgSNOMwJAikFIaaym5jDM1oYFj0SAETiFobyBmUDgTLXO41XVhxLb7cLTsuoebo3vOxEM0JWCEWNvld7ect1pcZZmZknJusbxGiUgu5WiqOMK0jM0ydm5vP+ts57Ha0zMQgmWo6Tn2SfK3HGb6nQWewXSOEajuOWvyIa0T4SjTEk7W2BMCcJnlw6QUQTd2pm2xOKoiEEL8IKUcIYT4ER3LoJRyRFokSzXVyaXui0WTgIOKmxc5v11fTocElEEm8OB9mLPatMYlBKfUeReh3ylqwxtFRZxXU8sx9Q0USkniUZj0SbQxG13kjofW2GlAf/0o20y1RF9U/GvP7hxb38D5NenPDOY3IcZDeByuSRqmm3h4veBeiu0zuFBnxgxeD6tUuabGy3MF/436vRUXTiyaO9NjsdB2JbOdxnfdx0OsGYF/5c/YNspcxmqDJMMy6zGpZzd+soV2JqP26s2RDY08VhEZuC0aHxTcmkrRNNm/b6hXzqMd27PN0twU7ujamTu6dm4+397EP3fspJX00M+ZvKfNNNd0XhDjI46/XdSGUQ12jt6zF5Oqa3i3qC23VFZxYn0DAnjR+kDSdYfzh20KxfboUR9TzXaziXYeT2DgsGxt7FHy+23bMLjJwfXdunByXT09XC4GOp38aivkV1sh66wWbt+h7+LpBraZzXRLwMb8S2EB+zelLwRyvPxcGD2qbioS3MTL20VtuKtLZ+auL6dzlAHgStv5FNtnGN6Z7qfGJGjnkRRtXQiDJyQrbgRRFYGU8hv//0IIE4QMnToBLwPjUi5VOthjOGz5lm9b2VhiK+SandouafHwcZvW/LOb/lT5m9atqDCbcQhBucXMe0Vt+clWSE+Xm1e3NG/quqtzR3aZzUyqrqG3cx14vDMMkySlI/Ij9+xFlTnSxTRYCWjxi62Qc3p5l4YWrdtI6yQDX00wf8exlu/ZaDazw2zmb3tELju91L4dALd068LTTicfl2/hSHOop5ILGLlXb57cup3hTd4Fz0u7d2X/piYmVdcyorgPH5ZvplEIBjmcujuWw91k7+7ckcMb7VzT3esod/nOXRS2stHBbKaHwY7U7+cj8e6UtgKbLGbauz2M27N3yLlD++7JBbtquHLnLs3nvbSwgNuDFPOjnTpEnPN2uyJWF1h5Ycu2CA+QXwsLeK5je75q1YvWHg8NJhPL1m5AAu+1bcO0rp1ZsG4jbTWe661dOvFBUVsA/luxnW0WCxMNzj7cwEHFffiofDPH9enFxbuqebuoLbvM5oh2JPHOSM+orY94Tg1C4ARcQlAgZdC+EH0kUGE2Y5OS67t14Zmt23ihfRHnV9fyflFb/lLfwLXdu/CTzcbsDZtwC9jDFb+S3GkycWX3rvxi8zqjjNmrNxNq67irsiogh58ak6DOZAqsc3mA3woL2C+Kkr27c0eOrW/gwp7dGV9Xz/k70zMjEEai2QkhLgGmQ0SgmtlSymPTIJcupaWlcurUBELVVvzB1XOf5it782aO8XX1/Gf7DiTwfPsipnfqyGGNjZRu3Y4E9vONnL9ZX87r7YoY1dgYeGgbLRaO77NHCn5RbE6rrePOyirKekzAXfUJTgFDmhwRWnyF1Uo3t5sak4n2Hg+ft2lNd5eL5zu0i5ixJMPsDZv4uG1r5rVuxR2VVVFnCc/57uujzhGMLX+Hf3btzEl19VzSo1vc9T6wrZKbunXh5h1V3N+5E209HupM3m7v5No6Lqqu4eTe2s/k6qpdXFStb1deZCvkop7d2dvhYHVBZDymcbZxfGX/iqPrGzi/uoZFrWxMqK2PGGHbhcAiJQeEzbri4ZyaWno5XZxRW8cus4nj+vSK63p/J7/OagncD7/8fqbsqub5Du0jrr13+w7+1bVz4F5rcVXVLibW1CIh0JkHvy96ZWtxSm1dQNEAWKXkvJpapuyqocJipqvLzd37nB8iu58ntm6jrKCAg+12hvneS7sQPNO+HT/bCvmhVXxt/vSaOq7duQuHgK5RzJcSuKFrZ5YXFrDRGnuodqFpFB85vg4MuA6w21lqs4W035c3b6WDx0Nfp4sqk4mj9uxFV7ebLWGDtGJrLz46b1ZEHUa48847l9xxxx2am4CNKoL1wCS8A51LfX/fDfwppUwqKLsQ4h7gAmAzMEFKGTU/X6KKYGfVaqZ9+ahmg4qHQU0OlhcmF7gtEQY2OejdfnzS8qcT/0t9Rk0t77QrCvkuvCPKN5T82SPbsl9XtZOHOnWMfaIO8ch/VdUuzRlfMMsm6W8QjEY0RWB0H0FXYD7wPTBQSukG7scbdiJhhBCjgMOAPsDjQGTMghRx7pzkPGH8ZEMJAKzIUr3x4B/ZhSsBhSKfSUYJxEssJZAujO4j+AXvwvHDgEcIMRiviSsyyH98jANek1J6hBBvAJrOuUKIqcBUgMmTJzN69Git06Kyj2df+lr6Ms6WH0saWuSz/PksOyj5s0k+yw6plX9kQyNlZalfJzCqCKYA9wJ7Af8FfsS7Bpasi0t3YCGAlNIuhNAc9kopS4FS8JqGSkpK4q5o2S+/gIu8nR5D9qfIyZDPsoOSP5vks+yQWvmnr9+AuCC1O6XBuGlogJTyNCnln1LKt4FuQDcpZXSn2dj4nSr8pC3WwwvjHtc8PmNTaNAys5RMqK2jn6M5vsvZPi+J9m43y9ZuYNnaDXy/bmO6RI3gALudZWs3cOnOau7e7g1v8PTWbVil5K1NW1i2dgPvlnv9tUc0enehvlu+hSK3hxujuBSmgk83bmJ6xXY+2bg5cG+Wrd3Ae+VbeG1z6L191ucp1SlN2+RjsWTtBn5au4HntlTw8uatvLNpC09t3cbStRs4oc64a/GZvvbwQflmvl1fzvz1G7FIyc9rN/DWpi28Gva7E2Xa9viDoh3R0MivPnfUs9O4t2CAw8FtlVUsWbuBk2vrOMCe2t3P4+vqucFg2zVJyewNm1i0biNPbN2GKQmvtm4uF0VuDz+v3cDFu6r51deel/j+LVu7gY82xr8HwAjXVO1k2doNjGzQj7qaWOaU2BidETwmhFgupVwJIKWMDG6eGFuBPQCEEDaII5xgnOzVbk8m7arhKxt0cbn5YuOmgKue34/bReQN8WuqW8MaZZGUHFdXz2dt28Sse/aGTdSZBKcGebR8tnETvVxuyi1mjvd5hbTyeBhub+LRiu1c070rj1RsxylEiJvdqXX1nOrrtH4KUkYDnc4If/TvN3jX3c+vqaVBCA4p7hNT1lj4PZiC6eOKbLgDnF5F6peprEc1JfamwGe/N5ER+jmczNy0hWqTiSqzKeCl1CAEN3Xrwk6Tidd8Smaoz3PFKiVOIbhvWyW/FhZymN0ecHkbYW+OrfOd6yhGWmZx//Yd3F5ZhRkZsjEwmJ/Wbgi0mXCf/aW+ZzHIN4BYunYD5RYLm6wW/t6jG++Wb+HSHl2juuo+t6WCT9q2Cbm/p9fVB36TER6r2I6g+b4f0minm9vN8/0i62oQJq7s4XWRfXFzBQc2hcYc+qWwgIkarr1fry+nS5Cv/L0+eX+0FfJzYSFH1zew3WJmb4eTI/fqHXE9wCMV22nl8XCIvQkP8M+unZndpjVL1m0MGZ1Oqqnlt57V3FWxkTVWK8sKCznEbmejxcJfNDrMUY12flm3EQ/wcds2zG3dii/bNFuwO7vc7LCEulCPr6tnp9nM3dt30DNokHJVkIt5sKmi2OXi17UbEHj3D7xRVBSxhndsXT2DHA72b3LQtkM1j2zdwC1dOrOvw8EZtXWYpaTeZOJd396Zgc7mgedTvr1Hf1qtnNG7Z+gPLDTmjRUvRr2G/J5Cz+DtvAMXSSk/TbhyIUYA9wFHAxOBQ6SUUePiJuw+aq+m7MWrKdn6fiKi6uIGhkV5Uf0NJhWU9ZiQtPyJur0OtTcxstHO5bsS238RS/ZZbVpzo4a7okXKQCdrhEYhsAtBR4O7uve2v8L3hVfSXeyK+G6l1cqMdm25fcdO/kzBvQeoNglmtCuiwmLhXd/i+k9rN0Qo/GBWWa1M6N2Td8q3cEbvntg8Hh6pqOSSns0uuK9s3hpwodTioz3PYujm9+jqdlMoZVw5ahfZCmnv8VDiSDwKarVJ4EHwk62QJiE4vt54yJdUtHstfi0soEDKpH6Xnzs7d+SddkXs7XAwM8zKEC7/hKY7eb/wjrjKX2u1UC9MDDnrDeifWLymaF5DRtvDWUAj3s46GAkkrAiklD8IIX4FNgIrgTMTLStmXe70xJ434x19PdO+XciKfy+nizc3b41LCextfyWtgbIA+rhcLFy3kUN9s4PrqnYysbqW+zt3pFBKXvFt5Bpqb+KlLRUsbGVjZKM97Rkbxtc3MN43il1ptbLRamFclCmyHq2kpFUcpgE3Zg5teiwkWJqfAU4nd4SN/Mc33c8sAxFD9WjvkVy6y7uf4aYdO6kxmbDincHo0T9othc86/tp7Qbu9G34Ghxj5+8Ah5NiV2LvwCF2Y9FJo9HeI3nLNZqP7IfxSsH9SZUVHL8oGaJt5IqXO3bsjGgreiyVA9jX/nxIfuxY9PXv1UlQCcTCqCK4XkoZkVJICDE0WQGklNcC1yZbTiwc1vS6NF5cXcOU6hru6tKJy3dWJ7SV342Zr937h8TNTwdtpIwwI922Y6d3U1CTg7/UNwQaxqjG9Ea+1GKA0xkwLQVzheNKHiv4X8rrk3GouR2yXcrqbS0lrZNYL7EC91RWcU+YqS5Xudv1Nxoj9qTGzxeeg3jacSI/2y7R/H62+wD+Yl6adD2JsEu2ibrzuUZ6I5M2YOP0pjt4t/DOTIkWlahvgBBiX5+r6I9CiEG+z/5/B+ANTZ0X2N3pWmZpxgzcWVllSAms9XTXPD7VGT3L01UO7cik89qdFLPOWAi8I/N4zAaJMND+Es+5jov7uo89h6VUjgsc8acqrLV25Lim+2KfqAhQbJ9BsX0GtbTGlWTrckkTD7jOZhf6A7vLnVcnVUcyDGvSDp/u5yxHs0nIhbGMgpkg1lDoE+BjvH3Ep77P/mPvAKk33KUJuzM7nip63OK6iGL7DEY1PRxy3ImFg+36qRk/9BxOsT00j8GLrmN4vVvqJlV3OCcldX24fOE4sDLTPTKpOvy8n0Q5X3sOiPua1gVWymT0Rfe57v0NlbVLxnY08EjBak/PmOdlgoPssaOP3uAMHaVPdBjL22yUI5sejjqDG9X0ME0UUGyfwV3O9JpZw4n1nP7lnEKZbF5PDM8UGItbBsaX3jIeoioCKWVfKWVf4HNgAtAP2Bd4DHgQuDBtkqWYRkduKYJ2vkioG2V37nBOouqc5mxL2+lAX/urrPV054ym2/nRMxCAj92HBs55wdUc4mmnLEIkMeE53P4ob7mOZKmnP+c4buUl97EMsj+ve/4h9uj5BoCAzHosk/04sSn+jel721/hL00PMMM1lr72V7nWaSznbjjXORLbad6m0BzTlOTEQok9MmViONc4vVnRbnZepHuOEwtHOZKLplk/9PzYJxmgkvYc0/R/Uc95x30k9zq9QdWucVzGfE+k9Xiy46a4637LdSQAW+mke86FjuvZKJtn2s+7j2NcU3ojkQ6xPxv4uwavYj+76TbNc7fKUC+5ujj349otbWOflCBGjaPLgA/xWj/uA04GTgP0h645xqK18ftkp5PgdHaveI7FvNehId9LTIx1PMxiWcKZjmkU22ewSjZ7+9zpSm7UDlBsf41i+2tspgs3uS5hguMuFnr2BaBRJ0b/Q84zqIjyMvrxy+xnkaeEGtmaIxzNNn5HArFV3ZhZJXtzi+viQId8hSN2xjDwjlYfcU1ghP1x3vOE7k4/tclYdJO2hbFlXurpjx391Kh+5noOoNg+gzfc+rtO53gOIFnv8TYn/yep64NZIftwlSO68n3GfSIH2J9ipucIze/neobFXe9Nrksots/AHWROudZxacg5bTRSeq6Re/CE6+S469Oj2D6Dfe3Pc0zT/1Fsn0EdrXnF9ReAgAJcJAdpXvutZz8AjirxenvNdg+Pq26Rtl0ExhXBhcDBUkoXcA5wBnA2XmWQF5RtTX/ijmSwWeP3yxluf4pv3PvxqDv++OTeTloQbyfzqNv7yJ9ynaj5/fawxdSR9kdY6+nOAs++7Nf0LFtodhF1RrEX+18uPw84z9Y918jawROuk3nHfSQPu85kG5H7F36W/WOWYZTn3NHXP4bYn2Vsk7G9mLc5U5Ac0GpjgU/Bh1Nsn8G5Dv20i36eDVrT+dAT2xy3k+iL6tHMhzPdh8csH+B9z6gQ2ddL7XW3B1xnUydTF323ARsrgsyDd7gmc1rTNBZL/YgHVziuDAx8zjyoD7ccX8I2OhpuB+nGaO/jAaQQ4iBgq5SyEq/HUbrXFVPGpMOKNY9/5j44LfX94Nkn6vfVhNqHC8zGFYHV7O28q2jHJOfNzaaKC7WzP93vPIehQVPYI5qmG65Lj/td2rmDJzjuDvm8ia6MdTSvg4RuI9f+zUPsz3KbK7QDfMKd3KgumRSBfhomfRFTbR7bdD9NPs+Ynz39Ir6vkm2pozVrZWy7/1THtezAu4FopP0R3nCN0XUySIYFnsERo+tg5rmHco8rzN5ui9zYVPePiohjibBDtudPT29uNaAEF3gGM9lxI7tkG36XxTpnCc5wTIs46vpHaqIDeDDxk4xuCt0mOwT+tpoFFx7RjzemHqqrvDKN0d7nBeAb4A3gGSFEf2Ae8FG6BEs1xV20F+a+TmCaCpHT0nCCvQO0+MOzV8hnEYeR32KKfGw7653QRztraAEuamnNcU33sZ+9lHJpLBfAhY5QD6YH+z0X8nmMxmimXHaNWmbwz9TznPfaTgWzfEraLeOfuQRzZNNDhs4LflnDecM9FtHroID8f2nSzpYWXMY5jlBb8SWOaxjeZDxOzPKghcVNdOVm11RWSu2duokQbO9fGDRjsNu6cnbTbdzmnMzopoc536mxb6LvkaGfh5yO1UBsfiNUyA4c63iAV91HU2yfwXRXdMPDXM8BDGt6JqpHUrh9HsBsy1yU3GAlJQSYTYJ9uhfhicN1OZl1wFgYkkJKeRNwBXCJlPJxoAlvEDrjOyJylJ0yscYw08D0WI/XXWND3N/8SmDd/ScYur5TmwJKeoTKfcmRkaNPP1bh3YyyXO5FDcYXnOZ4Dgy4/hXbZ/BDQ2iClHVho1ppje0FIxDMuPgQQ/Vf7bycxZ6BUV3yyu6OTHkZznoZGSZBi5FNj2oeL7bPYKvsiBDNL+MqnQ45uDOyU8h+dq/sRzY9xOce/fTeWoua2zQ6r8UxFuH10Jp9+c0be7S3cdtfj4bbq+BfFXx9/DwWyUG84j6GDbI7mko4fEZw2rNYNQYo0ajQULzVsjWlbm2zYzLsoohanw+/n3gGX8nSFLQe5q/Xakn3Nk3jGJZESjlHSjnH9/dGKeUrUsrk92ZnmUrZPqa7oxbxbEIKZ7VMLrPZKxeOYNY1o2nfytu4Fv7zKMbsoz/Kt8vU5DKwFUT3e5ZtDUxzBRy+t3edoD7sxQyniQLOcEyjNop3hc3qlanYPoMLHDdyVtNt7G1/hSmO+NNsO7FwtcPryXOt41Iud1zFSPsjge/NptgdR3jeuBraUGyfEVMZrQlrE491uTVgYgqmn4hvR63fhh5tI9wHVxzB8UN7gskMVhtmI2bKDqEzWkwmTAbuTzCHN0VuDvTuAUhPBz206bmIY88OfSXqNcPsTwfMx54BxyRcd/CeAYvvPvlNvEb6nxOa7k24biPkjkrKAh+6D2NpChcJ/QTb47VY4BkMwGVj9gYg+P154YLoaxbnHbIn/bqGjuqjdVDLPX143H1q1DKNMnLvzjw3STNUiRdb7F23wZJW0Y6LHdclL5iPrz0H8IMchBszX3mGc5j9fxH7NGLxgecIjmr6D+97RvGJ51A20Wzq8hqoondSWp23UXZamhfSzzxRe1TcaMAbKZjnpnnvb/iaVDBtC0OVl8VsoCMeHb+iDcetsaGqtYbnT6px9j+WTVO8O4+dpugunLso4lLntRTbZyDOe8twHYPtzUrnT9mb4JbvN+3GM4P6XfY1fG4itGhFcJXzSpIZfSzxDIg49rprbGAEe45DI13DX6YF7IV/O8w7qgruXMbu043xg42ZMtwer5W9IMoU80an9jb8WFw1LlRB/mN8CReN6sdRg7rrejiJQfHvbv7Nk74GvoXOIX7lRlkttXMEm00CqbuyYWxkF437i5v3bogi7Rneu+5REcei7XRuXeDt5KtkEU+7Ik2Pr1w4glZhMz1TDJPJ0F7tvTayy3/0Hhgd/w5tPeKxmYdz5TgDg7pp1VgnvkWvPb2m1KYYiiCYeExJ9TTPdj9zh5oE/eO2eGdQ6TRktWhF4OeGYxKzu14UtJhaITtwYtM93B7k7bJQy2UvyLZq9jessCccrb0Ff/XSlBGcdVBv2tmCRnQ9Q3e1VmjYmY1wYHHoXoFRA7oEZh568dHEqOvp0ym6uSecxCPHZx4hBAaDmibEJnuzi6PJqn0ff5P9OMT+GH3trwLeWe1ag2sg9wV5ej3oPJMpI/syakDk4r6WM0IwH13p2x/QdSBMq4ZxzQOex88bbsiEpocnie4uVr1as+2idvqz2DJP8mHbtdgnaH3P6LpgummxiiB4d2P/bvHt2POHNdhJO4rtM7jYcR2HNj3Gb7JfVN94AAraMvHQPbnjpH0DI4Lw5mt04HHgXh154Iz9Q0cql8xjw5VbuNBxPWs8PaiK4c+txQsXHMyRA0M7iOCXTLPznvguCMG3N0VPyRf+25IZAWYDj08LTh3dD9l9SPMX46PvuDXCjvrmaJiWKHkLKuiExESxfQYFZ78QshAZHRFY+H+a07j9JO29Bcl05Cfs15N+Oh56WoSHU0mmPcQy243VWEf72xH6vv/jHck902sdl/KF+8CQY+vuP4EOrSPNh9Fmk/92npuUHEbIr7cwVXQdFLa7Mb6GHx7W4EvPQZqLx/8Yr9HI2nTlnlOHcsHIvoFFo/DOMdkdhCaT1+NnnOMhTTtsLFpZI6+xBtuNgzTB+W2fhkMvg36J5WQ1kcYhdhrwz4YmHNALcWlQzMVDEwtZEcz/nT4UzpkBvUcY7ozHD+mJxMQn7kiPpI376PvhD+mln+AkGUVglP16e+vfToeQ48uSMBVqDaBW//t4/jG+hPcu096kVmBN31ao9z2jYgaRNMIsn7dZ1t1HdzsuXxjyMR03+LThvbjUtxgcQlHzNN7f4Ud0vNFMQwZkjTW1j4WWjdgcVKY7yDa01dwTxt/n1T4GCFdy0WLH5CLHDvE+vx7tUrdTFWDuDWPYr3cHKDkBLvqSNgXxdVCPuSJ3l689UHvH8PjBPXjxAn1X1kwogjMP6sPs60L3Iiz0DKIqSlTRWJhNgm9vGhtyzCTg0jF7M3zPxEyk2eY3T7HPhTc3Qkzs1qTj9kY8tEu+9S6qdW2eJbRrZeGCkcW8cuEhYdcmR5J6AK1+wBJ0sHXQ4mKshcVwIk8XXDXgi8Cni8z3Mvu60eEn5QzXHDWAX24/ho5tfNP7K5bARd7E5PNuHMvn14xmXImxDXvBhN9Hk0kw/x9j6dXB2JqLlnkouEPv17XZXHPi/j0DrsdaZEIRmAQRMpzr+FdSbtkmIejTKXTx18gCb/0Zbxiu4897Yu9bSZQR9si86l+GmZbSRctSBIddATeujjic1o0lF38Nx94HPffzLqoF1SWE4I6TBkdM05OVJ9mRg7/+4BFbcOfw3qWHc87BiS2kaUlWWOAdXa/zdOdXU0ncyiWTmEyC9q2DOrAu/aG392Xds3Nr9ulRxIF7xT/61HLZ7N2xteEYVOF7RdxShCjdk/fvRdnd47njpH05bkj08BaZuPsmIQIDDv9u7GSUAED49od9expbH5N7Gc9zUWhJXw6BbXTktKZpIWsCmZoxtyxFUNgW2kTmxU1rw+81HA67LK5LosljpJPv2NrKIX0Tb0D+F7R/t7YBj6TgGcGA7kVMPNTn+ppkp33ckB5cd8xAtp72Pmc4piFE/LOMXMPpjn/dQ8933+j9DZ8RjGh6otkrzYfNauaCkX0zMuKPxR4dWgWe87imBxnflFz6SohsN59eHelqq4XZnJrQGKngJzmQUnezG3bw7mu1RpBm4rnB/tX9K8ZG91lO5l2L6j5qZI3AbOLNSxLP5hX8QvlXA8I7D/8yQbw/M7xje3LigfRs3wpn70OppD0CkRMdVTKcPrw3HVvH17nEG54hnF1BoUOqZFt20D5hJZ1ul95nzz+I0QO6BNpZHa1DErYkSqLtxmSJfFYD7S8lK05SHNE0nTdcY/jGYyzJUbIoRYCvc20dOVOIxg3HRo8umoz2jiP3eloIUQQ+WcIXoP1ulKnqtIM318S70SZVnH1QavzG+3RqzYJ/xpdkXHdGYPB6N2bOdfyLSxzXcKwvmFyuTqz+sm93hBBJr2WFc0jfzoDXI2lk/86GrzOZIs09ieTKSCXlshs3u6YmbS4zilIE+Mwt18WXNs5QmVnmlQv1PUOiEdyBdGzjfSGsltDf06O9167/9yM1PKOila1z3O2WgXrCTRqZ4tghqQsJHK+CtOrE94nnVizwDOZzzwi2+/ItZL8FRieVJsD5/xjLvnt41wQ+vOIIXrvo0BhXNGM2oJFyVammirzJJ5BWBGBJTWC2VBBtQhBPe9TaNWqE4Eb/6oWH8O3KykCoAj/d29lY/e/jUzYjcPm27HZqU5jykaJRCsypWwiMt5OzpGEWlGjnFU9uDC2MTmhTqQi09r4YxWQS1B71fxTN+YfuObmgB9QaQRoIHi1Hu7/BuXfXeIxt5YfkXDhltm1DQezVuU1gYTichJSA75JbTxjEqAHN5ri+Xdrwj/ElPD3xwJTNCJ7+24EMiGPXuNUsDIW1NkI8t2b/Ph1072UyM8tEO9pBPYu4/7TIXMOpJpUKP1mlUjQq+obAVHgWdi2KHTBQy602E7RYRTBqQFeOH+rt2NsU6k+M3nSP5WrHZZzSdBcnOP4dRw2JN5zcUQOpx39XLhrVL2T/hBCCS8fsTY/2trhf6lcuHKG5wavIZsESNLqNpRRMJhEIa50sQgi+vDb6fojJhxfzx13H8sHlI3U7mmT6n0Rna0IIzhmR+OKt0VpTOSNISVGtu+BsuwcnNd0TWX6SRZ+0/x7MvWFMzPMeP284x+yb+axlOaMIhBBjhRDTMlnn3acM4ZbjSzgoit/3R+7D+MBzBL/I/roJ3bVIbrFYXxXEOzK57mjtgHrhOzAzRTr2bIwa0JVJhxdHHI97s1uK5PEzoHv0XbKd2xREmNxSSbbccLNhGkqJg8FNq1n3tx9YJiOTPCUraodW1qgDTj/R7l06n2dOKAIhxM1Axv21OrctZOrovXU7p5udFyUcXz4Zm2+nNqlbr7jqqAGM3SdyrSB8B2Yu0aG1lWk6AdHiQRCfmS0dSuqHfx3F33RMa+nspy0mQd84gr9lg1Qui6TKnKg/M8v+KkE63apzZbF4KfCu3pdCiKnAVIDJkyczenRiIQgqKyspKyvTP6HHhJCPe7j7Ml66NU8tKytjfG/t7wAObN8Yva4onD3ATFd3G5ZvqQk53r+dpK3cEXe5+7SqpTBM1mjy79i0lrKaxGPpaJXbv51kfG83NiuG5D+0s3Y54fjLKrJXRZxft20DB3VopNjiPd6lrZ29C/TLrNm6jrLGCl35E32eg1rVapbZvmk7ZWXRf2Ow/FroPcdr/jKQjWtXBT7HbPsa6N3/WOWM6NhI/yj3Ofh6I8/Y33YAenVshccj2VIdmsBmzaoVup5X8VBV79CUyWLyBOT+1+HtWLJhp+b1+/Vuz6/l1RHyt6FK974F1+euKmdPc72mDHtEKSNZckIRSCk/F0L0BIp1vi8FSgFKS0tlSYl+6NholJWVEfXaN94P+fikoyezdKIhPlVSwqwXI8NVAMy6ZhQlPeIP/xxMra0bD/+4KOTY+N5uenToHP03aLD8+xq+KQ99caLJf+0Ze4fETI8XrXLH93Yzq9xMh9ZWphuUX08+P5eM7he4F19tXcWs8tCX8+KT9mLxwlrKtnpzNg/q2ZrlW1z65Z1cTMmeHXXlT7Tdzd++hlnlVRHHhw7uRklJ9I2JSz7fHlVmvef4VJisMdu+Bnr3P7zscDy/O5j150bd74Ovj/WMobntAPz3sEH8uK6KWb+Hlv/IPvukJPzD2sp6Zr0dKbvNauIxn9z77LMPpu/WcffHf0Scd/CwPZm1MPT4+N5uurbrpHv/g+/ByUf2ZsO2bcwqr484b4+9uiTcBmORE4ogV0l0M8denZKfkut5i6Ryhjr7utFU1jn4YW0VD325InDcUKrCBEkmMurJ++9BgcXEO0vKDSlbkxAhm/P27NSKiho7VUFx/8PPzzVyT6LY3HXKEI4Z3J0pLy5OS/lOd6S5L1WmIT3rS/D7KITQNDlOPFR/gT1aZruQ86KcloIJjy4ZXSMQQkwRQswP+xffFswM8lOC+YxT0SZTaQ7Ua1v9uxVxaL/OXHVUaMrNThqJM1LFGQf2TvhaIeDOkwfz1MQDDc24gjv2Mw7szb8nDGXmZSO9qRZ1ys8kydbXpW3u7H0JpsBiSnpGrIcQ4NZIE5cq+3kyA7B7Tk3M5XbpbUfrtslg0rnjPqOKQEr5vJTyiLB/czIpQzw0yMTs5KlolKlcnIpnwfT7m8c1h1hOMS9ecDA3xQjNEQ2B19V3/JDI/RxaP9EkmnMMX3hEXzq3LWTPzq05bG/t8AO5OCPQY++ubQLxpK4+KjJ3drZJ57089YDInNKpel/0ijFaeiJSdGxTEAg3Hq3rOHpQ+txKc8JrKGe4+pfAn1c4royZ5vGRc4bRQSO4WCpeAiNTVKPEEw1zD4Px7xOhyGaNa1Rz58mDQz7H+7KbTM0KIjR+Uvw7NeINpWEEWxI27cvG9Gfvrt59EdcePZB3/p54kMF0EPyYJ2h03MkwZp9uacv1q9c+0z1I8A9YhNBWRvP/MZaDitMXkjpn1giklC9mWwY6Fgf+/NgT+8U6ZVgvFq6p4vUfNoQcT8UMTndkkkDZLg2bajjvXnp42k0j8ZY/6fBiXB4ZWJRrdMT2MAnGOyMwXrfeOUWFlpRtNPMzZp+unHFQ4maybIXhMIzvXraymrl4VD/eX7opNcWmu40a/EJvLOFJMCpAIJqvEJprIOlWRLnenHKeihp7xLFUTFNTaRq685TBIQnFtZKLH7hXx5xM53fhEX1Z8+/jmXBALx4+e1hc1wab6IzcTd2XLclHodU3PDfpYNrZEg8lED4zzDWrVvC9zHmlFYRuGzDYv7s82ifG0g/+ywQwUGMjolIEOc7Nx6XHnUuPRJrD4D3a89IUb2ylXh1a8ZWBre65hMkkePjsYbQq0B+Va5l7TEL7uN5LmSY9kJYyc63jDye444pmzpwep3JPN3r3tV9YeBI9LyC3jiKIjd805A218vudxxqSK1UoRRDGKU138ajrVMPnD+xelDZ7pRaJeg74N9sM6ZUeb45gornRpQutzl0EuY8mM8NKh7dGrnfkyeK/ZbHcJk89oFdckUO1lMr8f6QuXIrWczn7oD68PCU0pLveYCLRgJHNa1ne/8MdTpQiyDAXn3smD7nOyrYYuiTaHnq0tzHjokN46KxhqRRHk3tOHcqtJwyKOJ7pvs8sRCBcR6HFQMx5HQnTMS1PdciCJmf86TET4eGzjWXM8t/L8H0jb06NzBNg1Mdej94dUxcuRetZHzuke0REUL0QLZNH9tVcHI/VhvxrC/7Tws9Pd34TpQjCOHG/PaIGocs6SbSHw/t3MRT4Kh/R6kpMQvDExOHcfcpgQ7GV9DqkZF9BdwbCiscKcJcKTtivJxMOMLbA7f/NFrMIdG4DurXlkH7GM4dlA61nrdUJHzekB29oKLW2hRYeOGO/iOOxJpUBpwZfXeF6I91J+5Qi0CCZ1/alKYllBTNKLmQ+M0IuBOkSAroV2fjbYcUhx+PtmJP9Ka4EktnHqjv8/nYtKsyoiTIW/o6ruHPsXfaJ6snzD9uLB89MbU5frZG71jMQQug6V2iXEb0R+XdG+82Q4Wen+33aPYeHSdI6yqJkLI4cmFhWsHDiXdDMNXJZTL0FPT0le8aByeUy3r9Ph6Su1yKX7y9Ah9YFPPnX4RzSrzPbar2edalou8Fl3HXKkOQLDCOeTlx/r08ksTaZ3nXqEHrOXcXhvs2O4XKoGUEW+O9Z+3PZmNRvIEoFud4B+Mm0wkrcWyOSu09t7mC+vHY0NyaxGxq8+RKW3PqXZMXKPnHe4uOG9qRTm4LAPha9OFN6xU4Z2Te+ClOBRrvV7fANJhPq1aEVU0dH5jgIP+eeU4cGnDrCy1BrBFmgW5GNm8aX5NRU20++hEHItJRaG3n0btV1Rw/UWdDz/v+3Q/cKpBVs18qakpAhndvGTlO4u+L3rbfqBTPU0QTnjkhuJpYI8Tzq4HMX/HNc4O9wBXHmQX3orpFBLxrhZYg099RKEeQZeaIHNEdLqYgXr8fRGun99JRmh9YF3HNqpFkhWGaPr/PKF8Xr55nzD+LJvw7Pthgh+E2t/bpqpwrVWqR/5Jxhmgv86baVaz1vfTNt87k926cvNAukf2ClFEHOot36CtIZizbNpDO89X69O7Dy3uNCjnWLkixcqz8JHuHdfeoQ9mhv04wllcscvW93jhvaM9tihDCwexHPnH8Q/55gPDrnKcN6ZUUJ56reT/e9UIvFeUSP9jb+dph22sNcQ6vdJpOLwAjBM45YZj2tFyv42PFDe3J8jnWo+YzWjM1PPI4RaR8Zx9nhXjWuP0dpRAX94PKR3PjOL6yoqEuJXOlWUEoRpJBU5hrWWvs8YWhPOqQxV0AqCW+3g3q2y/kcuvm0xyIbI9dkN37poRefx6grZyrRKj/ar77uGG1Hgv37dOCjK4/A4fKwaV3sLGyxUDOCPOGLa0fTOYWKwOmK9D3Plz0EEPnyHDu4R1qTb8dL+Hv1+sWHBhaIFZll6uh+lM5bE3Hc6OauVJLKDrfQYk5J+sxMkL8G5xxjYPeilHqGHFjckRP2CzVN5Kr9UosMbKbV5Nubxhpy1Qx/4fWS1SjSzz+PK+HjK4+IOJ6N9m41m3j94sgdw9lGRR/NMl2y5PZXaDHz+Hm55f0RD4kG30qWPp1aG1LI2dSp8Wwwy5ZCBSL2T6RLFn1//MybhiA3BwUq6FyW+f7mcREmg7MPyrx/c76Rxf7LENkMgfHB5SMNn5toopNUcPnY/rQJ2mWfzlGp/2cWFVqYc/2Ruudl46lla1ATjJoRZJkCiynEZfPQfp24d0Lqt7YbIV9NQ0YjVmaSfLmV8aQZTQfBcZnS2f789RR3aRNIwQlE7MjNp3cglah9BDlG20ILljz25c8U/pHs5MOLDUeszCT50qHcduK+Wa3fE6SH0jkq7dneu/N2/JAeIcdvOT4ynHlLRJmGcoxszhLzyWvIT652uLkQHdUIY/bpxluXRObPzlRbCJ4RpNPpq3s7G0tvO5pLj4wV4yvzzy37hiEVfTTnyGb/kSd9FwC9O3q33GvlR1YkT6baQnAwv3TbqTsacL/Op3cgn1CKQJEWjh3cgxkXH8JhOZ6IJJM8+dfhCSWQyZXOLxdmUdmXYPdEmYYMkAteA/mGEILD9+6SE51HrnDc0J7076YdeC0a2hurMsPMy0cyqKc3z3XfLqlLCZlP5FvgwURQisAAoWoge42iBbRHhQbaGbIyU/ewPh347OpRvDRlBJeO6Z+ZSqOQjYFFtjbEf3iFcTfjZMmaaUh4n+gTwNFAE3CNlPLLbMkTjeAJQVbXCNTEuIWSzTmBl1Rl3stHsjUj2K93B2ZePpLfNlWnva5srhGMB3oBA4G+wJdCiP5Syuw6TmuQrmBbCoUiPtoUZj52Tztb9kKRD+vTgWFpSHUaTjYVQWfgZV/Hv1oIUec7tj38RCHEVGAqwOTJkxk9enRCFVZWVlJWVhb3dUd0dVDfzg3A3oU1CZWRKO+euxfPfOsNyLWzakdG604lid77dDK+tzvwdyzZsil/TXVjiKwArqpyysp2GS4jF++/Ufq3k4zv7eaI/l3o6NhOWVll2uv03+8ThvbEWreFsrItCZeVD/c+a4pASvmq/28hxMmAGdB8wlLKUqAUoLS0VJaUlCRUZ1lZGYlcO+/dcrbXemcFx7Zvl1AZyXD66+sBuHJcl4zXnSoSvffpZNaLzeGBn4ohWzblb9ywk1nlm0OOnTa2NyUlPXSuiCQX779Rps9ewaxyM09dcXjG6vS3jaeuODjpsvLh3md1sVgI0VoI8RjwIHCmzFH3nFyRSi0Wp5bf7zw22yIYQnleKdJNRmYEQogpwJSww/8BbgNmA8OklA2ZkCURgvVTNhdsVXeQWvIlEY3mUrFSDooUkpE3QUr5PPB88DEhxA3A11LKmzMhQzLs2bk1O+odQLZ3FquXvyWSjZSNipZFNk1Dw4CJQohVQf86ZlEeXZ6bdDBnHJi9wGlvXXIYF4/qm7X6FblHSxoTtM2TmVs+k83F4onZqjteOrUpYOw+3XhnSXlW6h/RtxMj+nbKec8DRXrQMke2hN2ufiYdXsztfxuQbTF2a9TO4jhpQe+fIkfQanMWc8tpiFazKau+/C0BNecyiNpUpsglspVCtaXw8ZVH0OBwxz5xN0EpAoP4o/GqBdvdi+lnD6Oixp5tMaIS3uRev/jQQCA4RXoY0qt9tkXIKEoRGKTIt2A1IIHokYrc5dQDemVbhJiErxHkYnJ1RX6jFIFBxuzTlSf/OpyjBnXPtigKhUKRUpQiMIgQguOG9sy2GIoWiLJGKtKN8hpSKHIcpQgU6UYpAoUix1F5KBTpRikChSLHUTMCRbpRikChUChaOEoRKBQ5jpoQKNKNUgQKRY6jTEOKdKMUgUKR4+RKYiTF7otSBAqFQtHCUYpAochx1IRAkW6UIlAochxlGlKkG6UIFIocR4VAV6QbpQgUihxHzQgU6UYpAoVCoWjhKEWgUOQ4wTOC9y47PHuCKHZblCJQKHIcj08TDOrZjuF7dsyyNIrdEaUIFIo8QW0wVqQLpQgUCoWihaMUgUKR4/jXCFTMIUW6yJoiEEK0EkJ8JIRYJYRYIoQYki1ZFIpcxr+PoE2hyiyrSA/ZnBGcBayXUvYHpgG3ZVEWhSJnGbJHe64c15//nXtAtkVR7KZkc4ixCPjG97cZqM6iLApFzmIyCa4/Zp9si6HYjcmaIpBSlgEIIT4DxgC6DtJCiKnAVIDJkyczevTohOqsrKykrKwsoWtzgXyWP59lByV/Nsln2SE/5M+60VFKeZwQYjjwAjBM55xSoBSgtLRUlpSUJFRXWVkZiV6bC+Sz/PksOyj5s0k+yw75IX9GFIEQYgowJezwC8BiKeUvUsqfhBAdMiGLQqFQKELJiCKQUj4PPB98TAhxLTAR+EUIMQLYmAlZFAqFQhFKNk1DzwFvCCFWAxXAxVmURaFQKFos2VwsrgGOz1b9CoVCofCidhYrFApFC0cpAoVCoWjhZN19NF62bNlSeeedd65P5Nrvvvuuy8iRIytTLVOmyGf581l2UPJnk3yWHXJK/r30vhCyBeXBE0IsllIelG05EiWf5c9n2UHJn03yWXbID/mVaUihUChaOEoRKBQKRQunpSmC0mwLkCT5LH8+yw5K/mySz7JDHsjfotYIFAqFQhFJS5sRKBQKhSIMpQgUCoWihaMUgUKhULRwWowiEELcI4TYJIT4UQjRO9vyxIMQYrsvt/MqIcQb2ZbHKEKIsUKIaUGf8+oZaMif889BeHnSJ+PvQoijfcfz4t5HkT8f7r1mHvZ8uPctQhEIIUYBhwF9gMeBu7IrkXGEEN2BJVLK/r5/52RbJiMIIW4GXgr6nFfPQEP+fHkO44FewEDgZOBpIcSR5M+915I/X+59RB72fGn3LUIRAOOA16SUHuANYFSW5YmH/kAfIcQyIcQ8IcSgbAtkkKXAu0Gf8+0ZhMufL8+hM/CylNIjpVwN1OFNBZsv915L/hLy494vAh70/e3Pw54X7b6lKILuwCYAKaUdKMiuOHFhAz4BhuMdTbySXXGMIaX8HPgl6FBePQMN+fPiOUgpX5VSvgMghDgZb4fUgzy59zryW8iPe18mpVzny8P+OvAkedLu8y7oXIJIQAR9dmdLkHiRUs4B5vg+zhZCFAghOkgpd2VRrETI22cA+fUchBCtgQeAY4BTgcvJo3sfLr+U8g/y5N5DRB7278iDe99SZgRbgT0AhBA2wJFdcYwjhDgkbIHJ6fuXb+TtM4D8eQ5CiLbAPLwmlWG+TjRv7r2W/Hl076cIIfYHkFL+BHQgT+59S1EEnwN/FUKY8C7ozIlxfi5xAHCPz5tiOFAnpazPtlAJkM/PAPLnOfwd+FpKebOUssF3LJ/uvZb8+XLv2+PNw05QHva8uPctwjQkpfxBCPEr3gezEjgzyyLFw/PAWGAtsBmYlF1xEiPPnwHkz3MYBhwlhJgQdOxgIF/u/TAi5R9Jftz7iDzsUsrf86Hdq1hDCoVC0cJpKaYhhUKhUOigFIFCoVC0cJQiUCgUihaOUgQKhULRwlGKQKFQKFo4ShEoFApFC0cpAkWLRAixTggxRAgxVwhxYprrelEIcUU661AoghFCnC6EeEEI8ZQQonOs85UiULRopJRjpJQfZ1sORXoIzykRdFwz74Hvu4t8A4U/hBCHhV1nFUL8KoQo1ss/oFd3jHI15TT6mzRyHpwIXAg8DUzQKCYEpQgULQ4hxCxgL2CZEKJOCHGi78X+TQhxvxCiXgixVAgxSgjxk+/zU0HXTxVCrBHeZCmPCSGsvuPnCSHW+s7/RAjRTnjzGkwC/ieEuMHXAd3me2k3CSFu9x3z13+vEKJGCPGnEOK47Nyh3QMRllMiDK28ByYhxL7AdcBQ4BTgkbDrbsUbkhw08g/o1R2t3BhyxvxNQjvnQSnwDPBXoEuscpUiULQ4pJTjgfV4X8rFQV+VANvwBgmrAd4B/gYcAVwohOgjvElergeO911fAlwqvBEzn8UbQqAb4AEuklLej/fFvVJK+SBwPt5O6BBgNHA6cFJQ/T3wKqlb8IYriDmtV+gSnlMiGK28B52BE4AZUspaKeVKvEoCACHEfsAQ4AffIa38A3p165YbQ04jv0kr50EHvFFnZ+ENzREVpQgUimYcwMNSymrgG+A9KeXvUsqlwBaag4pN98We34q3wz4D77vkAfbEGxlzAvCoRh0TgXuklOW+Duhe3/Xg7UxuklLulFK+izeE8Qlp+q27HUKIyUKIyf7PGjklCPpOK+9BJdAPKBZC/CCEWIx3xoAQwgJMB64KKkMr/4Be3Zrl6skphLjWN1MsCl5f0vlNWjkP6oDXgMnAR1r3IJgWEXROoTBIg2wOvuUBgiNcenz/9wYuEkI8EfTdOillnS9Q2s14A9TNBa4lcjTWG/hUiOAQ9cz1/V8npdwRdHwN0DOxn6KIhYjMeyCFN0poH7yztT7AZ0KIAcANwJtSyk1hzy48/8Awneo0yw1qb+E04B1I9AUejvFTInJ9SCm/Bb6NcV2IcAqFwjhbgQuklEJKKYA2wDghRDtgl5TyKLyd92q0ZwRbgbFB13fEa34CaCuE6BR0bjHeKJaKKAghzhdClAH3AfcJIcqEEBfEuEYrbwN47/cHUkq7z4RThdfGfhhwna+eEcAcIcQlIjL/gB565epRChwOVPmSIkUj6ZwHShEoWioSKEzgureA64UQA4UQ7fGuC/wdb4f+vRDiIF/ZDsCuUddbwO1CiF7Cm5T9PZrXCAAeEEJ0EEKchnf0+GkCMrYopJQvSylLgH8C/5RSlkgpX4hxmVbeA4AvgROFEBYhRD+grZRyu5TyFCnlPr56fgCOAloTmX9AD81yo5z/AF7TjkcIESvsdtI5D5RpSNFS+RbvOkBcma6klJ8Jb/L02XjXDGYC06SUjUKIfwIfA22BhcBFvssWANOFEA14R3p7AUvwvn8v4nXx2xPYgXcR+0+8i9XnSCm3Jf4TFeEIIQ7Ba+eXaORtkFJ+6/PWKgNq8bpg6hGRf0DvxDjLBVgkpXzH55F2crQTU5HrQ+UjUChyACFEMbBYShnT1U+hSDXKNKRQKBQtHKUIFAqFooWjTEMKhULRwlEzAoVCoWjhKEWgUCgULRylCBQKhaKFoxSBQqFQtHCUIlAoFIoWjlIECoVC0cL5f0rAg+fu70L0AAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Compare strains\n", + "#----------------------------------------------------------------\n", + "\n", + "plt.figure()\n", + "plt.plot(strain_L1, label='L1')\n", + "plt.plot(strain_V1, label='V1')\n", + "plt.plot(strain_H1, label='H1')\n", + "\n", + "plt.legend()\n", + "plt.ylabel('strain')\n", + "plt.xlabel('timestep')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we can see, the strain magnitudes look very different between all three detectors! It's almost impossible to build three perfectly identical detectors thousands of miles from each other. However, we can still correlated signals between them. Lets continue our normal preprocessing techniques: whitening and bandpass. As we can see in the bottom plot, there is a noticable difference between the L1 and H1 streams. " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Preprocess data\n", + "#----------------------------------------------------------------\n", + "\n", + "# Remember you defined bandpass_low and bandpass_high above \n", + "\n", + "white_data_H1 = strain_H1.whiten()\n", + "white_data_L1 = strain_L1.whiten()\n", + "white_data_V1 = strain_V1.whiten()\n", + "white_data_H1_bp = white_data_H1.bandpass(bandpass_low, bandpass_high) \n", + "white_data_L1_bp = white_data_L1.bandpass(bandpass_low, bandpass_high)\n", + "white_data_V1_bp = white_data_V1.bandpass(bandpass_low, bandpass_high)\n", + "\n", + "# Side note: These bandpass frequencies are okay for high mass black hole mergers (like the ones analyzed here), but smaller mass \n", + "# mergers like neutron stars can arrive at frequencies up to 2 KHz! \n", + "\n", + "plt.figure()\n", + "plt.plot(white_data_H1_bp, label='H1')\n", + "plt.plot(white_data_L1_bp, label='L1')\n", + "plt.plot(white_data_V1_bp, label='V1')\n", + "\n", + "plt.legend()\n", + "plt.ylabel('strain')\n", + "plt.xlabel('timestep')\n", + "plt.ylim(-5, 5)\n", + "plt.xlim(tevent-1, tevent+1)\n", + "plt.show()\n", + "\n", + "plt.figure()\n", + "delta = white_data_H1_bp - white_data_L1_bp\n", + "plt.plot(delta, label='delta strain H1-L1')\n", + "plt.legend(loc='upper left')\n", + "plt.ylabel('strain')\n", + "plt.xlabel('timestep')\n", + "plt.xlim(tevent-0.17, tevent+0.13)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we can correlate signals across the multiple detectors. Correlation is done by detrending the input and compared detector strain and then outputting normalized SNRs as number of standard deviations from the expected mean. NOTE: this is a correlation test that LIGO uses to announce GW detections by comparing datastreams to GW-templates (matched-filtering) but we are using it for a bit of a different reason. \n", + "\n", + "What you need to do: develop a machinery to correlate signals between detectors with the gwpy.TimeSeries.correlate() function. This will give you an SNR (try plotting it!) which you can then use to find the offset signal between detectors. " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# [Hidden code]: develop a function offset(detector1_strain, detector2_strain) which returns the number of steps and time which two strains are offset\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of steps shifted from H1 to L1: 21\n", + "Time shifted from H1 to L1: 0.005126953125 s\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of steps shifted from H1 to V1: 63\n", + "Time shifted from V1 to H1: 0.015380859375 s\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of steps shifted from V1 to L1: 86\n", + "Time shifted from V1 to L1: 0.02099609375 s\n" + ] + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Calculate offset between detectors\n", + "#----------------------------------------------------------------\n", + "\n", + "print('# [Hidden code]: develop a function offset(detector1_strain, detector2_strain) which returns the number of steps and time which two strains are offset')\n", + "\n", + "def offset(detector1, detector2):\n", + " \n", + " '''define code here'''\n", + " \n", + " return(shiftSteps, shiftTime)\n", + "\n", + "\n", + "shiftStepsH1L1, shiftTimeH1L1 = offset(white_data_L1_bp, white_data_H1_bp)\n", + "print('Number of steps shifted from H1 to L1: %s'%(str(shiftStepsH1L1)))\n", + "print('Time shifted from H1 to L1: %s'%str(shiftTimeH1L1))\n", + "\n", + "shiftStepsH1V1, shiftTimeH1V1 = offset(white_data_H1_bp, white_data_V1_bp)\n", + "print('Number of steps shifted from H1 to V1: %s'%str(shiftStepsH1V1))\n", + "print('Time shifted from V1 to H1: %s'%str(shiftTimeH1V1))\n", + "\n", + "shiftStepsL1V1, shiftTimeL1V1 = offset(white_data_L1_bp, white_data_V1_bp)\n", + "print('Number of steps shifted from V1 to L1: %s'%str(shiftStepsL1V1))\n", + "print('Time shifted from V1 to L1: %s'%str(shiftTimeL1V1))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, plot the shifted strain against the other strains. You should see that the strains are now overlapping." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Shift detector strains\n", + "#----------------------------------------------------------------\n", + "\n", + "\n", + "# The timeseries.shift(delta) function will simply shift the X-axis (time) forward by the specified delta\n", + "shifted_data_H1 = white_data_H1_bp.copy()\n", + "shifted_data_H1.shift(shiftTimeH1L1)\n", + "shifted_data_H1 *= -1 \n", + "\n", + "shifted_data_V1 = white_data_V1_bp.copy()\n", + "shifted_data_V1.shift(shiftTimeL1V1)\n", + "shifted_data_V1 *= -1\n", + "\n", + "plt.figure()\n", + "plt.plot(white_data_L1_bp, label='L1')\n", + "plt.plot(shifted_data_H1, label='H1')\n", + "plt.plot(shifted_data_V1, label='V1')\n", + "plt.legend()\n", + "plt.ylabel('strain')\n", + "plt.xlim(tevent-0.07, tevent+0.07)\n", + "plt.title('Corrected-Shifted Strain')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It looks like the strains are aligning well! Next, we can calculate the region in the sky where this GW resides given the offsets between detectors. Think of the GW as some farfield source whose wave creates a right triangle between two detectors. This will give you a region in space where \n", + "\n", + "What you need to do: Calculate the projected angles in the direction of:\n", + " * L1 to H1 (3000 km) \n", + " * H1 to V1 (8166 km) \n", + " * L1 to V1 (8868 km) \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# [Hidden code]: Calculate (using simple trigonometry) the cone where the GW resides in the sky for each detector pair\n", + "Angle in sky from L1 towards H1: 59.156469485387305 degrees\n", + "Angle in sky from H1 towards V1: 55.593730426484825 degrees\n", + "Angle in sky from L1 towards V1: 44.74170114551119 degrees\n" + ] + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Calculate angle in sky\n", + "#----------------------------------------------------------------\n", + "\n", + "print('# [Hidden code]: Calculate (using simple trigonometry) the cone where the GW resides in the sky for each detector pair')\n", + "\n", + "DistanceL1H1 = 3000 #km\n", + "DistanceH1V1 = 8166 #km\n", + "DistanceL1V1 = 8868 #km\n", + "c = 3e5 # Speed of light in Km/s\n", + "\n", + "AngleL1H1 = \n", + "AngleH1V1 = \n", + "AngleL1V1 = \n", + "\n", + "print('Angle in sky from L1 towards H1: %s degrees'%(AngleL1H1))\n", + "print('Angle in sky from H1 towards V1: %s degrees'%(AngleH1V1))\n", + "print('Angle in sky from L1 towards V1: %s degrees'%(AngleL1V1))\n", + "\n", + "# The geometry that projects these angles onto skymaps isn't particularly enlightening so I will just provide some premade skymaps of the event\n", + "\n", + "from IPython.display import Image\n", + "display(Image(url='https://data.cardiffgravity.org/gwcat-data/data/png/GW200129_065458_moll.png'))\n", + "display(Image(url='https://data.cardiffgravity.org/gwcat-data/data/png/GW200129_065458_moll_pretty.png'))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "celltoolbar": "Hide code", + "hide_code_all_hidden": false, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Recitation2/.ipynb_checkpoints/Recitation_02-checkpoint.ipynb b/Recitation2/.ipynb_checkpoints/Recitation_02-checkpoint.ipynb new file mode 100644 index 0000000..a302600 --- /dev/null +++ b/Recitation2/.ipynb_checkpoints/Recitation_02-checkpoint.ipynb @@ -0,0 +1,826 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "
\n", + "This code was authored by the 8.S50x Course Team, Copyright 2021 MIT All Rights Reserved.\n", + "
\n", + "
\n", + "\n", + "# RECITATION 2: Error Propagation & Fourier Analysis\n", + "---\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", + "## 2.0 Overview of Learning Objectives\n", + "\n", + "In this recitation we will explore the following objectives:\n", + "\n", + "- Understand error propagation\n", + "- Propagate Gaussian errors through arbitrary functions using Numpy\n", + "- Understand the frequency analysis of continuous and discrete time signals\n", + "- Visualize the connection between time and frequency space\n", + "- Characterize the energy/power carried by different frequencies\n", + "- Filter and denoise a signal by visualizing its spectral content\n", + "\n", + "
\n", + "The following installation commands may come in handy:\n", + "\n", + "conda install numpy scipy matplotlib lmfit pyaudio\n", + "\n", + "pip3 install https://sigproc.mit.edu/_static/fall21/software/lib6003-0.0.4.tar.gz\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "----\n", + "## 2.1 Error Propagation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.1.0 Motivation: Lab Reports and Beyond\n", + "- We often encounter functions of measured quantities with associated independent Gaussian errors\n", + "- Often these functions can be treated with standard error propagration: $ \\Delta f(\\{x_i\\}) = \\sqrt{\\sum_i (\\partial f / \\partial x_i)^2 (\\Delta x_i)^2} $\n", + "- Sometimes things get complicated\n", + " - A good physicist is (somewhat) lazy\n", + "- We can use NumPy to help us propagate errors through more complex functions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.1.1 A (Very) Simple Example\n", + "\n", + "Suppose we have data points ($x,y$) with independent gaussian errors $\\Delta x$ and $\\Delta y$. We want to compute $f(x,y) = x + y$ and its error.\n", + "\n", + "Using our error propagation formula above we obtain: $\\Delta f = \\sqrt{(\\Delta x)^2 + (\\Delta y)^2} $" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(x) = 14.000000 +/- 2.828427\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import scipy.stats\n", + "\n", + "def f(x, y):\n", + " return x + y\n", + "\n", + "def delta_f(delta_x, delta_y):\n", + " return np.sqrt((delta_x**2.)+(delta_y**2.))\n", + "\n", + "x_val = 5.\n", + "x_err = 2.\n", + "\n", + "y_val = 9.\n", + "y_err = 2.\n", + "\n", + "print(\"f(x) = %f +/- %f\" % (f(x_val, y_val), delta_f(x_err, y_err)))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's try using NumPy to run actual gaussian distributions through this function" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(2)\n", + "N_SAMPLES = 100000\n", + "N_BINS = 100\n", + "x_samples = np.random.normal(loc = x_val, scale = x_err, size = N_SAMPLES)\n", + "y_samples = np.random.normal(loc = y_val, scale = y_err, size = N_SAMPLES)\n", + "\n", + "f_samples = f(x_samples, y_samples)\n", + "\n", + "counts, bin_edges = np.histogram(f_samples, bins = N_BINS, density = True)\n", + "bin_centers = 0.5*(bin_edges[:-1]+bin_edges[1:])\n", + "\n", + "plt.plot(bin_centers,counts)\n", + "plt.plot(bin_centers, scipy.stats.norm.pdf(bin_centers, loc = f(x_val, y_val), scale = delta_f(x_err, y_err)))\n", + "\n", + "print(\"f(x) = %f +/- %f\" % (np.mean(f_samples), np.std(f_samples)))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.1.2 A More Complicated Example\n", + "\n", + "Now let's take $g(x,y) = (\\sqrt{|x|} + \\sqrt{|y|})\\cdot (x - y)$\n", + "\n", + "### >>> QUESTION 2.1: \n", + "Fill in the following code cell to compute the error on g using the same values of $x$ and $y$ (and their respective errors) from before:\n", + "\n", + "" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(2)\n", + "N_SAMPLES = 100000\n", + "N_BINS = 100\n", + "\n", + "def g(x,y):\n", + " return (np.sqrt(np.abs(x))+np.sqrt(np.abs(y)))*(x-y)\n", + "\n", + "####################\n", + "# Insert Code Here #\n", + "####################\n", + "\n", + "g_samples = None # Placeholder Value - Fill in the correct line\n", + "g_val = None # Placeholder Value - Fill in the correct line\n", + "g_err = None # Placeholder Value - Fill in the correct line\n", + "\n", + "####################\n", + "\n", + "counts, bin_edges = np.histogram(g_samples, bins = N_BINS, density = True)\n", + "bin_centers = 0.5*(bin_edges[:-1]+bin_edges[1:])\n", + "\n", + "plt.plot(bin_centers,counts)\n", + "\n", + "print(\"g(x) = %f +/- %f\" % (g_val, g_err))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.1.3 Johnson Noise\n", + "Let's apply this to something slightly more useful, such as measuring the Boltzmann constant. We can use Johnson Noise (the thermal noise across a resistor), which is defined by:\n", + "\n", + "$$\\frac{V^2}{4 T} = k_B R\\int_{0}^{\\infty} \\frac{g(f)^2}{1+ (2\\pi R C f)^2}$$\n", + "\n", + "Suppose we measured $g$ as a function of $f$, and we have some uncertainties on $R$ and $C$. Let's compute the total uncertainty on this complicated quantity\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "frequency = np.array([ 200., 300., 400., 500., 600., 700., 800.,\n", + " 900., 1000., 1100., 1200., 1300., 1400., 1500.,\n", + " 1700., 2000., 3000., 4000., 5000., 7000., 10000.,\n", + " 13000., 15000., 17000., 20000., 25000., 30000., 35000.,\n", + " 40000., 45000., 50000., 55000., 60000., 65000., 70000.,\n", + " 75000., 80000., 85000., 90000., 95000., 100000.])\n", + "\n", + "gain = np.array([ 1.56572199, 7.56008454, 24.23507344, 58.36646477,\n", + " 119.11924863, 215.75587662, 354.79343025, 517.34083494,\n", + " 679.81395988, 805.18954729, 877.53623188, 944.14612835,\n", + " 951.12203586, 981.66551215, 976.08071562, 971.57565072,\n", + " 991.33195051, 974.54482165, 968.02100388, 970.96127868,\n", + " 972.70192708, 980.9122768 , 983.62597547, 981.85446382,\n", + " 964.75994752, 984.27991886, 959.44478862, 975.87335094,\n", + " 906.24841379, 831.8699187 , 695.5940221 , 562.69096627,\n", + " 426.50959034, 328.93671408, 248.14630158, 198.16023325,\n", + " 150.59357167, 121.00349255, 100.86777721, 79.42663031,\n", + " 63.20952534])\n", + "\n", + "gain_uncertainty = np.array([5.21317443e-03, 3.11522352e-02, 1.17453781e-01, 1.54063502e-01,\n", + " 1.27335068e+00, 1.27124575e+00, 1.62862522e+00, 8.07632112e-01,\n", + " 1.39800408e+00, 1.52872753e+00, 9.26100943e-01, 2.07700290e+00,\n", + " 2.41624111e+00, 2.48737608e+00, 2.66446131e+00, 6.30956544e+00,\n", + " 2.48543922e+00, 5.85031911e+00, 5.36245736e+00, 5.03316166e+00,\n", + " 5.96042863e+00, 1.80119083e+00, 2.19189309e+00, 4.76416499e+00,\n", + " 2.60518705e+00, 8.91016625e-01, 8.68517783e-01, 7.60893395e-02,\n", + " 1.12595429e+00, 9.59211786e-01, 2.11207039e+00, 1.54206027e+00,\n", + " 6.15658573e-01, 2.21068956e+00, 1.93131996e+00, 1.17159272e+00,\n", + " 1.02084395e+00, 6.45939329e-01, 1.15822783e+00, 1.50426555e-01,\n", + " 2.64213908e-01])\n", + "\n", + "resistance = np.array([477.1e3, 810e3, 99.7e3, 502.3e3, 10.03e3]) \n", + "resistance_uncertainty = np.array([0.2e3, 2e3, 0.2e3, 0.3e3, 0.3e3])\n", + "\n", + "capacitance = 125e-12\n", + "capacitance_uncertainty = 14e-12\n", + "\n", + "v2rmsd4t = np.array([2.57337556e-08, 1.96214066e-08, 2.21758082e-08, 2.38320749e-08,\n", + " 7.31633110e-09])\n", + "v2rmsd4t_uncertainty = np.array([1.25267830e-09, 1.46644504e-09, 1.08426579e-09, 1.77538860e-09,\n", + " 2.07583938e-10])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.integrate import trapz\n", + "\n", + "def mc_compute(freq, gain, gain_error, r, rerr, cap, cap_err, n_samp):\n", + " samples = []\n", + " for k in range(n_samp):\n", + " mc_gain = gain + np.random.normal(len(gain))*gain_error\n", + " mc_r = r + rerr*np.random.normal(1)\n", + " mc_cap = cap + cap_err*np.random.normal(1)\n", + " mc_integrand = mc_gain**2.0/(1+ (2*np.pi*mc_r*mc_cap*freq)**2.0)\n", + " mc_int = scipy.integrate.trapz(mc_integrand, freq)\n", + " samples.append(mc_r*mc_int)\n", + " return np.array(samples)\n", + "\n", + "\n", + "rgr = []\n", + "rgr_unc = []\n", + "for k in range(5):\n", + " samples = mc_compute(frequency, gain, gain_uncertainty, resistance[k], resistance_uncertainty[k], capacitance, capacitance_uncertainty,10000)\n", + " rgr.append(np.mean(samples))\n", + " rgr_unc.append(np.std(samples))\n", + "rgr = np.array(rgr) \n", + "rgr_unc = np.array(rgr_unc)\n", + "\n", + "\n", + "plt.errorbar(rgr, v2rmsd4t, yerr = v2rmsd4t_uncertainty, xerr= rgr_unc, fmt = 'o' )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from lmfit.models import Model\n", + "\n", + "def linear_model(x, k, b):\n", + " return x/k+b\n", + "\n", + "lmod = Model(linear_model)\n", + "lmod.set_param_hint(name = 'k', value = 1)\n", + "lmod.set_param_hint(name = 'b', value = 1)\n", + "result = lmod.fit(1e-15*rgr, x = v2rmsd4t*1e8, weights = 1/(rgr_unc*1e-15))\n", + "print(result.fit_report())\n", + "result.plot_fit()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "----\n", + "## 2.2.0 Motivation: Gravitational Waves/LIGO \n", + "\n", + "- Every massive object that accelerates produces gravitational waves. \n", + "- These can be intuitively understood as \"ripples\" in space-time that travel at the speed of light. \n", + "- Continuous gravitational waves are thought to be produced by spinning massive objects like a neutron star. \n", + "- Compact Binary Inspiral Gravitational Waves are of particular interest and show up as significant detections in LIGO \n", + " - Binary Neutron Stars (BNS)\n", + " - Binary Black Hole (BBH)\n", + " - Neutron Star-Black Hole Binary (NSBH)\n", + "\n", + "\n", + "
\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"drawing\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- Measured on Earth, cataclysmic mergers change the length of a 4km LIGO arm by a thousandth of the width of a proton. \n", + "- Strain is the instrument's detected space change within an arm in comparison to the total space (length) of the arm. \n", + "- In the event of a detectable merger this strain data will form a \"gravitational wave signal\"." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "
\n", + "\n", + "## 2.2 Frequency Analysis\n", + "\n", + "\n", + "\n", + "- Is there another way of thinking about our data, in a way that may be more useful for our particular application? \n", + "- If time-series data is too noisy/messy for easy analysis, we can consider the underlying frequency representation of the same information.\n", + "\n", + "**Fourier Transform**
\n", + "*Space or Time Functions* → *Spatial or Temporal Frequencies*
\n", + "**Inverse Fourier Transform**
\n", + "*Spatial or Temporal Frequencies* → *Space or Time Functions*\n", + "\n", + "### What do I mean by \"Frequency Space\", \n", + "\n", + "- In 1807 Joseph Fourier posited that any periodic signal could be represented by a sum of a particular set of harmonic sinusoids. \n", + "- i.e. all signals can be decomposed into elemental sine and cosine components\n", + "$$f(t) = c_0 + \\sum\\limits_{k=1}^\\infty (c_k\\cos(k\\omega_o t) + d_k\\sin(k\\omega_o t))$$\n", + "\n", + "
\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "#### >>> QUESTION 2.2\n", + "\n", + "\n", + "Convince yourself that the follwing sinusoidal decomposition is indeed the case.\n", + "$$e^{ix} = \\cos(x) + i\\sin(x)$$\n", + "\n", + "\n", + "
\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "
\n", + "\n", + "## 2.3 The Discrete Fourier Transform\n", + "\n", + "***Overview***\n", + "- These decomposed sinusoids are characterized by their frequencies.\n", + "- Want a mathematical machine that treats signals with a given frequency different than other frequencies. \n", + "\n", + "***Analysis (Discrete Fourier Transform)***\n", + "- We can inspect a signal and ask how much of one frequency is present.\n", + "- Multiply our signal by a sinusoid of a particular frequency to ask how \"similar\" the two are. \n", + "- Call these the *Fourier frequency coefficients.*\n", + "$$ X[k] = \\frac{1}{N}\\sum\\limits_{n=1}^{N-1} x[n]e^{-i\\frac{2\\pi k}{N} n} $$ \n", + "
\n", + "\n", + "| Syntax | Description |\n", + "| ----------- | ----------- |\n", + "| $ x[n]$ | Signal for analysis |\n", + "| $ e^{-i\\frac{2\\pi k}{N} n}$ | Frequency component k we compare to |\n", + "| $ X[k] $ | How similar to the sinusoid of component k |\n", + "\n", + "$$X[k] = \\frac{1}{N}\\sum\\limits_{n=1}^{N-1} (e^{-i\\frac{2\\pi j}{N} n})(e^{i\\frac{2\\pi k}{N} n}) = \\frac{N}{N}\\delta_{jk} $$ \n", + "
\n", + "\n", + "***The \"DC\" ($X[0]$) Term***\n", + "- Is the 0 frequency component of a signal.\n", + "- Represents the constant offset of a signal (if any). \n", + "- Represents the *average value* of a signal over one period. \n", + "\n", + "\n", + "***Synthesis (Inverse Discrete Fourier Transform)***\n", + "- Can recompose signal with these coefficients.\n", + "$$x[n] = \\sum\\limits_{k=0}^{N-1}X[k]e^{i\\frac{2\\pi k}{N} n}$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- Notice that when we tightened our signal in time, we made it wider in frequency. This is a visual representation of the famous _uncertainity principle_! It arises in quantum mechanics because position and momentum obey the same Fourier relationship that time and frequency do above." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "
\n", + "\n", + "## 2.4 Spectral Density/Power Spectrums\n", + "\n", + "\n", + "##### First the Energy Spectral Density (ESD)\n", + "- Describes how the energy of a signal is distributed with frequency. \n", + "- The squared magnitude of each frequency \n", + "- Good for localised transients (pulse-like signals) whose energy is concentrated around one time window. \n", + "$$\\overline{S}_{xx}(f) = |{\\hat{x}(f)}|^2$$\n", + "\n", + "##### Power Spectral Density (PSD)\n", + "- For continuous signals over all time, the power spectal density is more apt. \n", + "- The power spectral density of a time series is the measure of the signal's power content in the frequency components that compose that signal.\n", + "$$S_{xx}(f) = \\lim_{T \\to \\infty} \\frac{1}{T}|\\hat{x}_T(f)|^2 \\ \\textrm{where} \\ x_T \\ \\textrm{is the signal, windowed}$$\n", + "$$S_{xx}(f) = \\int_{-\\infty}^{\\infty} R_{xx}(\\tau)e^{-i2\\pi f\\tau}d\\tau = \\hat{R}_{xx}(f) $$\n", + "- Defined as the normalized limit of the ESD for the windowed signal.\n", + "- Also represented as the Fourier transform of the autocorrelation function $R_{xx}(\\tau)$ (informally, the Fourier transform of how similar the signal is to itself). \n", + "\n", + "##### Amplitude Spectral Density (PSD)\n", + "- Amplitude Spectral Density (ASD) is just the square-root of the PSD and is useful when the shape of the spectrum is rather constant, since variations in the ASD will then be proportional to variations in the signal's voltage itself.\n", + "\n", + "\n", + "\n", + "- Dominated by low frequencies and sharp spectral lines throughout. \n", + "- From instrumental artifacts\n", + " - Seismic noise\n", + " - \"Violin Modes\" from the suspension fibers of the LIGO mirrors. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "
\n", + "\n", + "## 2.5 Spectrograms Q-Transform\n", + "- To better understand a system, we can bridge the gap between the frequency and time domains with another transform.\n", + "- The Short-Time Fourier Transform takes the Fourier transform within shorter time segments. \n", + "- The resulting visual representation is called a \"spectrogram\" which can be thought of as a series of Fourier transforms stacked on their side. \n", + "\n", + "\n", + "\n", + "- The Q-Transform breaks these intervals up with logarithmic spacing for when the data are better represented as such (often times in audio.)\n", + "\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Whitening data\n", + "- From the ASD above, we can see that noise fluctuations are much larger at low and high frequencies and near spectral lines. \n", + "- To better visualize deviations from the noise, it is useful to employ a technique called \"whitening\".\n", + "- Whitening takes the data and attempts to make the power spectral density flat (i.e. normalize the power at all frequencies) so that excess power at any frequency is more obvious. \n", + "\n", + "- Persisent signals like noise will have their power spread about the entire time window. \n", + "- Localized signals will have all of their power in one region region (evident spikes)\n", + "\n", + "- Achieved very informally by applying the inverse frequency response of the raw signal. \n", + "\n", + "Example: Trasmitted power in one of the interferoeter arms with two large glitches with a frequency around 5-50Hz\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Filtering\n", + "- The amplification/attenuation of frequency components.\n", + "- Can be done in the time domian but best viewed from the frequency domain. \n", + " - **Multiplication in the frequency domain**\n", + " - A set of scale factors H() which is refered to as the frequency response of the system.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#Import Packages\n", + "import math\n", + "import numpy as np\n", + "import lib6003\n", + "import matplotlib.pyplot as plt\n", + "from lib6003.audio import wav_write\n", + "from lib6003.audio import wav_file_play\n", + "from lib6003.audio import wav_read\n", + "from lib6003.audio import wav_play\n", + "from lib6003.fft import fft\n", + "from lib6003.fft import ifft\n", + "from scipy.io.wavfile import write" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### DFT Filtering\n", + "- We can filter using DFT coefficients by scaling them appropriately." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#Noise-Free #3 \n", + "wav_file_play('assets/audio/ocean_man_raw.wav')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Bass Boosting" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "x,fs =wav_read('assets/audio/ocean_man_raw.wav')\n", + "## x is the data, fs is the sampling frequency\n", + "N = len(x)\n", + "## f = k*fs/N\n", + "## k = f*N/fs\n", + "fc = 400 #cutoff frequency in Hz; boost all frequency content below fc\n", + "kc = int(fc*N/fs)\n", + "\n", + "X = fft(x)\n", + "Y = X[:] #copy values from X\n", + "Y[:kc] = [i*5 for i in X[:kc]]\n", + "Y[-kc:] = [i*5 for i in X[-kc:]]\n", + "## Amplify all the coefficients in the bass-boosted region by 5\n", + "\n", + "## Inverse fourier transform and recombine into a .wav file \n", + "y = ifft(Y)\n", + "# assert all(abs(i.imag) < 1e-12 for i in y)\n", + "wav_play([i.real for i in y],fs)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Bass Isolation (Low Pass)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "x,fs = wav_read('assets/audio/ocean_man_raw.wav')\n", + "N = len(x)\n", + "## f = k*fs/N\n", + "## k =f*N/fs\n", + "fc = 400 # cutoff frequency in Hz; boost all frequency content below fc\n", + "kc = int(fc*N/fs)\n", + "\n", + "X = fft(x)\n", + "Y = X[:] # copy values from X\n", + "Y[kc:-kc] = [i*0 for i in X[kc:-kc]]\n", + "\n", + "y = ifft(Y)\n", + "# assert all(abs(i.imag) < 1e-12 for i in y)\n", + "wav_play([i.real for i in y],fs)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Signal Detection and Matched Filtering\n", + "- If we have an unknown, noisy signal we can try to detect the presence of a known signal with matched filtering. \n", + "- If we *know* or *guess* the signal we're looking for (called the *template*), we can use it as a filter for combing the data for the presence of that template.\n", + "- Matched filters work by maximizing the signal to noise ratio (SNR) when the matched filter detects the presence of the template signal in a noisy signal. \n", + "- Phil will talk more about convolutions next week but we can informally think of a matched filter as:\n", + "- \"Drag\" or sweep your template across the signal and calculate some statistic.\n", + "- The optimal statistic suggests the presence of a signal. \n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#Noise-Free \n", + "wav_file_play('assets/audio/ocean_man_raw.wav')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#Noise\n", + "wav_file_play('assets/audio/ocean_man.wav')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "#Read in Data\n", + "data, samp_rate = wav_read('assets/audio/ocean_man.wav')\n", + "#Check length of Data\n", + "N = len(data)\n", + "#Take the Fourier Transform\n", + "dft_cof = fft(data)\n", + "k = np.linspace(0,N-1,N)\n", + "f=k*samp_rate/N\n", + "\n", + "plt.plot(f,np.absolute(dft_cof))\n", + "plt.title(\"Noisty Ocean Man Spectrum\", fontsize=18)\n", + "plt.xlabel('Frequency $\\\\nu $', fontsize=14)\n", + "plt.ylabel('Magnitude $|X(\\\\nu)|$', fontsize=14)\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#Focus in on one set of conjuagte frequencies\n", + "plt.plot(f,np.absolute(dft_cof))\n", + "plt.xlim(-100,5000)\n", + "plt.ylim(0,0.01)\n", + "plt.title(\"Noisy Ocean Man Spectrum\", fontsize=18)\n", + "plt.xlabel('Frequency $\\\\nu $', fontsize=14)\n", + "plt.ylabel('Magnitude $|X(\\\\nu)|$', fontsize=14)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#Zoom in on artifact\n", + "plt.plot(f,np.absolute(dft_cof))\n", + "plt.xlim(980,1000)\n", + "plt.ylim(0,0.008)\n", + "plt.title(\"Noisy Ocean Man Spectrum\", fontsize=18)\n", + "plt.xlabel('Frequency $\\\\nu $', fontsize=14)\n", + "plt.ylabel('Magnitude $|X(\\\\nu)|$', fontsize=14)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "k_cut = int((990*N/samp_rate))\n", + "# print(k_cut)\n", + "freqs = fft(data)\n", + "# print(len(freqs))\n", + "for i in range(k_cut-100,k_cut+100):\n", + " freqs[i]= 0\n", + "for i in range(-k_cut-100,-k_cut+100):\n", + " freqs[i]= 0\n", + "# print(len(freqs))\n", + "f=k*samp_rate/N\n", + "\n", + "plt.title(\"Denoised Ocean Man Spectrum\", fontsize=18)\n", + "plt.xlabel('Frequency $\\\\nu $', fontsize=14)\n", + "plt.ylabel('Magnitude $|X(\\\\nu)|$', fontsize=14)\n", + "\n", + "plt.plot(f,np.absolute(freqs))\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "ocean_fix = ifft(freqs)\n", + "wav_play(ocean_fix,samp_rate)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "cbb6e056583fd03f6322a65e9e97540b0afe957fac88728c845a07e6e1613cc6" + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Recitation2/LIGOMainProject.ipynb b/Recitation2/LIGOMainProject.ipynb new file mode 100644 index 0000000..2173298 --- /dev/null +++ b/Recitation2/LIGOMainProject.ipynb @@ -0,0 +1,1594 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "# MIT JLab Project: Detect GW with LIGO open data\n", + "Author: Jing Wang , Eric Moreno
\n", + "Date: Sep 29 2020 (Updated December 2021)\n", + "Nico Valdes edits for project\n", + "\n", + "* This tutorial is developed for MIT Junior lab project \"Detect GW with LIGO open data\".\n", + "* A manual of this project can be found [here](http://www.mit.edu/~jwang011/LIGOmanualJLab.pdf).\n", + "* This tutorial is based on the material on [Gravitational Wave Open Science Center](https://www.gw-openscience.org/) and the tutorial from Professor Philip Harris.\n", + "* Some codes are hidden, and you need to build it by yourself.\n", + "* Orange bold text hightlights the questions you need to answer or codes you need to develop." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "## Introduction\n", + "The existence of gravitational waves (GW) was first predicted by Albert Einstein in his General Theory of Relativity in 1916.\n", + "He found that the linearized weak-field equations had wave solutions.\n", + "By analogy to electromagnetism, time variation of the mass quadrupole moment of the source is expected to lead to transverse waves of spatial strain.\n", + "The existence of GW was first demonstrated in 1974 by the discovery of a binary system composed of a pulsar in orbit around a neutron star by Hulse and Taylor [[1]](https://ui.adsabs.harvard.edu/abs/1975ApJ...195L..51H/abstract).\n", + "However, direct detections of GW did not arrive until 2016.\n", + "In that year, The LIGO (The Laser Interferometer Gravitational-Wave Observatory) collaboration reported the first direct detection of GW from a binary black hole system merging to form a single black hole [[2]](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.061102).\n", + "The observations reported in this paper and futher GW detections would provide new tests of generay relativity in its strong-field regime, and GW observations have become an important new means to learn about the Universe.\n", + "\n", + "In this project, you will reproduce the results reported in [[2]](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.061102) with LIGO open data. This tutorial will show how to analyze a particular GW event GW150914. In the tutorial, you will find how to download the data collected by Handford Observatory starting from Mon Sep 14 09:16:37 GMT 2015, plot the strain, whiten and filter the strain, plot a q-transform of the data, and extract the features of the source with a simple analytic model. After getting familiar with the basic analysis methods, you need to explore more events, check the consistence between detectors, match numerical relativity waveform template to extract accurate information of the source, compare with LIGO published results, and develop a machinery to search GW event within a long time range." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "## Preparation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Install dependencies" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#----------------------------------------------------------------\n", + "# pip install libraries\n", + "#----------------------------------------------------------------\n", + "!pip install gwpy numpy scipy matplotlib h5py wget" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Download the data" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'data/H-H1_GWOSC_4KHZ_R1-1126257415-4096.hdf5'" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import wget\n", + "import os\n", + "\n", + "os.mkdir('data')\n", + "wget.download('https://www.gw-openscience.org/eventapi/html/GWTC-1-confident/GW150914/v3/H-H1_GWOSC_4KHZ_R1-1126257415-4096.hdf5', 'data')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "All the available open data can be found on [Gravitational Wave Open Science Center](https://www.gw-openscience.org/eventapi/html/allevents/). In this tutorial, we take event GW150914 data as example. In the name of this particular data file:\n", + " * \"GW150914\" means September 14, 2015 \n", + " * \"H-H1\" means that the data come from the LIGO Hanford Observatory site and the LIGO \"H1\" datector;\n", + " * \"1126257414-4096\" means the data starts at GPS time 1126257414 (Mon Sep 14 09:16:37 GMT 2015), duration 4096 seconds;\n", + " * NOTE: GPS time is number of seconds since Jan 6, 1980 GMT. See http://www.oc.nps.edu/oc2902w/gps/timsys.html." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Load libraries" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "#----------------------------------------------------------------\n", + "# Load libraries\n", + "#----------------------------------------------------------------\n", + "import numpy as np\n", + "import math\n", + "from gwpy.timeseries import TimeSeries\n", + "from scipy.linalg import fractional_matrix_power\n", + "from scipy.stats import zscore\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib.mlab as mlab\n", + "import h5py\n", + "\n", + "import os\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Set input file and parameters" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "#----------------------------------------------------------------\n", + "# Set parameters\n", + "#----------------------------------------------------------------\n", + "fn = 'data/H-H1_GWOSC_4KHZ_R1-1126257415-4096.hdf5' # data file\n", + "tevent = 1126259462.422 # Mon Sep 14 09:50:45 GMT 2015\n", + "evtname = 'GW150914' # event name\n", + "\n", + "detector = 'H1' # detecotr: L1 or H1" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Load data" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "#----------------------------------------------------------------\n", + "# Load LIGO data\n", + "#----------------------------------------------------------------\n", + "strain = TimeSeries.read(fn, format='hdf5.losc')\n", + "center = int(tevent)\n", + "strain = strain.crop(center-16, center+16)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "## Analysis on a known event" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### First look at data: raw time-series data" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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8c2JZ6aCvdCd0RGJoj+gzgy+eaYU6dx/p/gk46eLmC6vM17GAy+8ZuvsUDjGBBz16kDr6kWnQAitBdKFvY+X2wwCAW/+zLsstSQ0cHKFeRLFzg95rRGvW4GCS6vnY39CGeXe9hJ2HxESgTodS0VzjxQs80f5gTd1RUzosHYweWIQOjRHdEYkJz7EvGJKFpOLeHlKiPoi2WVi16ygqb1piVqil0I3vaIwL/cy4ndTz3xUIHmOAnowmklew92hbiuXPei56rRGtW2C604R1uLkDlTctwbKNB7LdlB6FJ9/fjV2HW/GXN2qF91WqDhQRwYsH8prjYGM7pt5arZVYC+CMS+57Dbc8tTbt8zS3R7Se6BjnwrPrrQnE1JDbeciqpPccSdTpTnNZtnHtQ28BAL7/ZLJCQEOrWoYrGuPCxtvYnHX1fRXLfgPLNh7AuzuOdG0jAvQ5dEZjjmumG0TJGFq/twHhPuaK7rVGtC6xsDt5rh5/Ny5n9Zk/v53llvQs3J2oWPfQiu3C+xEHT3QrMZDFECpw4h0voqUjio/87nUfW9o3oeMzu8Ujb+7QGsffPn+yWYhg3sTyHh9F2HKgMal0+efmjcWU4aXm3/cSWb+AzqGGIRNmhMMp7n9lq/I7Uc7RSTZrjyfkBVu7eCNNnyLn8fXg8t8H81BfwYiETvSnTh3Tpb878QfPYuIPnvX0nUNN7Xi7Vhxj1GEZifGUC6D1VPRaI5ouwmL4NxutUeOxt3dmuwk9Eh2a3XOnQ4UdKmdFD6V9Zb1k0PiFXz2/Ef/pA0lwAHDUQYDfCXbekT3HWvH0mr3m3z3d6TH/7ldx4W+WC+8V5eUIIdJbFk4BAOSEGGaNHmC+n4m5rKUjgl1Z0kv2A8cUXmfan+haEI1x0Njzoyt3ma9jMd5l9yHYC/U9tHVGzfXI6JOjNIpE3Qmzb38RV97/hvBehIyvSDQW0Dl6C6LyZJkA70ZJZFsPNjsfFMA1nEJT1Iim/eDf79apDk8b3/v3GizdEC9f/X8vbcHXHluVkd/pbrArWXvzE2tw9R/e0H4OQMuHBoA/vLLNfB3jHB89cbT3BnZzFOSGsXGfdQ/zc+LTdGFeGOMGF5vvZ8ITPfXW5zDvrmW+n7erUbOvAZU3LUFHJCb0EXrLojGOU8cNUn7/969sxby7lnVR+eUgsbCvoeqH1Zj2o+cAAHsTeQ6cAyUFPaN0B11Lc8KWGRmJ8l6l3e8GvdaIFjwOgSxUr8CGvQ22hvL6PfZe5CZSxIP2g6MtHWm3TYV/vLMLn/3LOxk5d3eGnYf00ZW78JYi5E5RWpjrKrmLc2D55nqvzev2KMgVp2XjfjJIof/06YxaqDYyh5racfrPX8KOQ91/87/gnrh3/2fPbMCgfnnm+zHJuUIdLIWkYtwvntsIAFiRwf5V39SOnYdaulV0NED2EOMcueGeYZIdIWsmHVNDSvP7nI3VM55YCohqwvUBj7BnYsehZlz4m+W4+P9WCO9/ZNZI8zUNgavwFqlIRrvBhCH9FEenh8a29CgNPRnpjrGr5ozC9xbEZd3ycvRTVIxz/Hd176PI5IRlI5rMX100lx1oTNap/eSfVqLuSKsyea+7YtnGA1olnmiMo5O8MbA4DzIyWQp8zu0v4oxfLMP/Vu8x3wtWp74LjjhlqyeAJuTSeehIc4dZYfWkyr5RdKUXG9Ei2d1Atnf9nHNU3rQEi56tyW5DehiMhaZmnxhepRxR+TMZ2+stDxod+CdWDsREnw1pFTezr6DTho7hFm48MjHeO9U51u0+Jvwd0xmBGTSiX9+aXAJ7XSLS89qW7JTHTgU7DrWIScQQPdGU9xxR5FRQAzdTONRsefUCH0/fRYxzHFBINPqJ59ftw6Gm9rSdPC0dlsOKSs2+sukgGhPOrJmj+qf1Gz0FvcqIjkRjuKu6Bu2RqGAk0UW9JkOJY25Rm+hwuozxAGpENMYSfXfaiFLlMQbmTxmq/B4HkJ/r71AoIKHhZgcPeTbBOcefX9vuq+c83eTMuIyd+nl/54LJ5mvOea80oh97e5fwt0FNa2iLCEZgJj3ROlm4nghqG8ucaLqxVqn7UAM3Uwh40H0b5f3yAWR+A3WgoQ03PPIuZt/+Ito603N0vL/zqPlaGENkPnai7fUW9Coj+pv/XI3fvbwVl/32dWFxpWoOLR3Z1QEOdIh9Bpl5RiakgnSgFcmEEDnnGFCUHMpNB7pISHfDa1sO4Sf/W4/vP5m+vrOBdLVHYzFuGRbSrSvIDePTp1UCAN6uPdInPHei0hCE12f/8mX8IAP0CruKkT0NdKzTYizyuNSp/mQaopHfBzp0AAG54TiFQyfL6xfWEedGuhtw+n1Kh6Tvr6kTI2p+4MLfLM+YEECq6BZGNGMslzG2hjFWmc55qtfGCxGs39sgPEyaJJNtTrSd8kAA72hoI7J1Ds9WKGoguaLHD45PBFfMrvClXX6I2HcFnng/PiH5GbYeUlLg+ljVfVq28YCWG9rcHtEmDfdk2BlPcmEg+np7fTMWv+W/VGZ7L9rs08gIpVnJ80W2xqxOMSrTRlWA7oWufNrp2kGURtm/MNd8rasa7EcV0N1HW7FhbwO+/a/VaZ/LT3QLIxrALQAmpHsS6kmgnYRW0KkcVIxs4nAXhAf7EowsekBMJlWBenxEY8R6/6WaA9hxqBmVNy3BuztSD0fR0HB3lvyRhfP9gBs97FiMY03dUUz8wbNJiWr/fKdOa0Dc/cImYbHJ9qbYL9C56/Nnjhc+023+VIVF/EJ3uKtHWzqw2QeJuXte3Gy+pvcyyROtcHAUd0EJcNoOmWYWoHejoU3c1JUV5docnR6SNNLTAF3T6Kl0yYTnTR2qfN8LNjiob2ULWRclZIzNADAdwEqbY24AcAMAXH/99Zg9e7byuAUVlvfk6J4d5t/7d24zX+/buRVt9f6G7r3g2N4GoZ0GamqcEw3r6+tdHdcbMaGUK+8bxbG9teYxqvtU39Bmfk6PbT6wA8N4c+LvVjz/+ntYUBHF8rdXo7h1eErtPdzcbp5/+5ZNtu1yQiaf+7SiJkxLsFzS/Q3jGvNCR7TnMo7ZUFODd7YdwoKKKA7v3o6amlzzszljBiC/eR8mlHKEQxHU1NQIz77j0C4sqIhiSEk+DjV3mAtCTxsbnFt9esMG6xpH4jBySH8vadtvvm45sNN8zY7tSatfqWCcr3/7AdTUcOVnfv6eCkZ/v/+VrWjrjOLr8yc5fkdum26uaD2wy/wsdrjOcU4pyM3ctRq/PSp0xHzd2nDUfL2xpgahHqLWkC762tpmPONtmzdhaH4nFlRE0b/9IC6p5DjQ4O+YNvDBun3m7+7evjWlucP4Tn3ddmJfWeeaVtykHFOVOUfVa7KH5964v8H3+c4PZNWIZozlALgHwLUAFuuO45w/AOABAFi8eDGvqqpSHlf9sJWs96kLR6O6Lh6i/unYCah+dAcA4Hujx2Nsefa80feveh/Vdcnejfs110RRU1MD3bX3dtzz4iblfaO4dsFoVNfFq9mp7ueK5dvMc3ySHPvx80djT/1+VNc1gjGguq4BQBgrDnbg61ekdr9r9jWgui5Olbi9cgKq62q17XI8VwafOx0zqbRNdS7GgHsdxuhvJk3Cgx98gOoEb+7+qiq8+NdtiMQ45swciWYAWxoO4qW9OfhtVZX5vY+eOCqReBfG1OFF2Lg/ahrR6ba/qxGLcVT/JV485hcTJ6F6cS0AYNqUwdjSUG/21alThqC67igA4Or5o1BdF6etffPKKnz12QMA/Lt24z4/t7sB2y+ep/zMz99TwejvTz28FUAY91dVoa0zir+9uQPXzxtn226jbfTvy04YiSffj0dHfjpxIqr/Gae/zD91BKrrDjq2554bMzv2xowbhuq6eML5lXP6o7ounqh176TJthKPvQl9bW0znv2i8RPx1KrdqK4DJk0qx5pGYFVdnKLo9xi7fcUxrEj0re+OGovqup2ef8do942XjEF1XXxMfaNinLnWXTW/wpyfrphdYfKXcweVKZ+vl+f+zK5N5njtTnN9tkfotwH8g3Puu9irLlyf7fCvkwxbgNThFKKiGcWi7CE3/77xjPHkmNQ5kpTOsamPPXO3Q8wwbAwYz+D2JRu05xhSkm++jnGOCYP91/juKoj6z9b7S2sOKI8rygsL/NlM5lec2M00Xi///eu4fckG3PT4Gs/fPX1CufUHXQu6Cef41PFW1cQWTVXVnox3dxzBFb9/PdvN6JaIcWu+jPHMUv+oDnq6dA55/TRfkymJal77kTC75UD3XEezbUSfCuCbjLEaACcBWMoYm+jHiXUFVrKd/Tysv/ukqwDe4DQxHD+qzHz90Irt5muOuDwiIPaPdGSAqApLN1mruxWchqFusyvfy8/MrfSnQVkAvRa6YVu166hwnFGJk3NxkfJLQWP9ngaslbSpu5P9Fo1xU6Nalv9zA2H+p+ftJnx6Om/RZ5quDFl3weW/fx3v7DjSIypddjU45+ZmaeX2w8gkeWfP0VbzdbqKUX99Y4f5eu8x67yvbLIiO3R4qeQjveJzmiiUn2jpiHi2EbNqRHPOL+WcT+acVyHOiT6Xc77Z6XtuoJs4sz1v0izVmy/sPiGJ7g43mw9VlTWKaSMtHemtB5vM15x4ov3SHX5wuWWkZzv60dWYNNTZO+ykhLA6QV+QVxVZnYKCc47a+ma8t/MIAOCaB99E5U1LnBucJQglqG36yPPr95vH0++0R/xR0Ljo3uX4kFQJtDv12VRkQancpVixsPtJT247aBmX9Fr3HbOfz3oaWnuR4osKjW2dqLxpiacaEBxW/1xZezije9fdxIhOd50bVmpFBJ9evdd8/ciblnFNx1r1un1p/Z58vkxg1+EWTL31Odz/yjZP38u2Jzpj0JfKzUZrLDzzgdWZuscU3jOQl6hgN6Oiv/aYJR/YD1TqxaM7Y86tv9P1Tu041IwtBxoFLmN38Xh1FQrznFMt3q49rCyzbMAYJ3LIPcaBi2eOMF/TjzkHzvrly/jI7+Kh4+5eWU8wol1MTJyLc0ZLe+aMku7UZ1OhwI1JaMJ/d8FkrbqJGzrHLQuneP5trzjYZGlX0zalQyfrajS1Rxw3xj3oclLCB4lojpdqxDHOk7TfMwU6DqgzL5Xo/MljLQpSOaHYib8HnDTWP1rYSxLNzQmL39oh6MI74YFX48bzz6u9JS12GyOac34W57zWr/PR8azzRGQDVMImk+Gt7sL38ws7SXleHa6aY6/xrPNCxbi1YKV73878xcuYf/eruGzWSPO9VCapt2sP4/Sfv9Stqx3q4Kbs96pdx5LkHg0K3TUnjzbfkzmCnHOTa8clz2x37PEtHRH8dtkWpZEslPAmf3zq1DHKc3FwoS9lQp7QAPWOZhupzNnGd/60olYrG+fGE320JfOVG+mzZ4RH2pOqcU7/0XOY+INnbY9ZttGbEZRJtEeiQsl3P7BhbwqcXekRZ5JuqutOqXQzOnbOrRpivqZOLg6Okvz0tSuONHegPRLFyxudk4ANbK9vxg+eXIsv/f09T99JBd3GiPYbOk60H0Z0OsYvTYR6dKV3fp8bvF17GOO+/0xaOsc9BV85Jy4vPnpgkSeeLfXycM6xMeHt8m3dEgwk71+/8v43UHek1fRu9CS4qfymSooz7v3ogUVmVcKcUEg6xjKcZc+sLvfBz5LmXvGDJ9fiF89txB+XJ4cIdZ7osHTNnz19bOJ4sX82ZXCDdawblf1OhU9pDO/6pnbhPtMNnpsN833LtuBwcwceeHVrxgyciaTiW5Rcaz8fDJCugNv7smFv99H5/dLi9zDvrmVo6fBvDKVSsKojGjM50edPHZrRSPn5RKs5XZtIWD/J+5842XIAtHZEfXFsnHDbC7jhr+8KSeVOeG1LPQBvWvorEt/xil5rROs6Sbrz4P2vbMWZv3gZz6fI8emKcrqvJHZs3T2cnQqY5Jo0/uLgeH2rdb0RhSEnGC1R2j+ArQnPGw1jD0hD+J4aRWNIuXGvWLphf8rf9YKpw+N88btf2ITKm5a4Xlwu/r8VSbxjN5Xf7JQlYjxe3jv+OpnOQSuCc804p/xLWtWyq2EokKhCvDvqLU+YbtMP0Ox9jkPEe+8mOgMA3/znKky6xd5LmAn8+bXtKc+TFKkYr1Eujm8DNCTslhM967YX8LNnaszkRu1vxnhKxWHEBFPrD2MMdHdQOoodDG5/JmDwkeuOuBsTL26I94OtB/yLuKRiWrxUc8Ac3yPKCjOqyDJthOUlTlexLBLV2Fek/c+u3efbxvOVTQdx9YmjnQ9M4E+vbffld92g1xrR0Zh6Ek3XE20shjc88m5K3/crGUhGU3sEn334bew91oq3tseNyRcyOGllC7T2wJWzK8whyznw6Eqr/LFqs0I5eR89aRT5ROTPG56/I2mEcmk/W59GpaWuiugaNKN7l8bzev/4qrtJSOUp1xnI+xusRKmOaBTTSaInRZwnaHmbKY61dpr3Nsa54E0UaVvW66gPmeEUWw40mpGLdEC9vVHhOsT2GgsC58Bt/1tvvn/xjBHCce2RqJIC8MR7uzMqh6fDT/63PuV5kiKVBEC6kePCIm/B61rg5AD5xXMbcd6vX/VsSEfJxERf+xE1fWjFdhxoaENbZxTLN7sPh3tBo8tNaiapCsf9+HkAwOk/X+bpe6lQou5/ZSveTyQvU4xLof5EOMTIGsYzyhunlWGjmnnTLd7dYV0/ff7yUPXziXvpP11JR+u1RjSdgNYYmf7IfmKh3UT8zAd7XWdkN7Z14gjxSt1VXYOlNQdw7UMr8XZtvIP3RCqAE6gf+l/v1lleSQ5UDLAy8mOco/KmJZh92wvCewbGlvcj7wMnVg4AEJ9c/Chw0Eae86tpLF4029kvrNp1FJU3LbHlXFI5JK/QGWztRLKrIxLDBVOHKY+jXOeOaExo57/frTMn5hgX/Ta63Ac39BIvmH/3q7jgnlfTPg8Nicqln0cPVEcvvnPBZPO13E8n31KNrz32vvb3nBYhJ/79WZMH236eKTznwps9XFLv0SaW08Q9j5urx8gmXQVDleE3S50FpuizoFETIVcjzW5b39SO255ej5N+thTn//pVXPvQSry5zf/opJvIEwAU5HSNZ70h4ZWuXuvcb1KhZi56tgaX/S5Z99qtioywqeMwLU0OYH0XUV7SpXM8vcairjyeKKiiOle6+yY6XrtTsjNFnzCiqTGZ7cRCakh88SxS2CMawxcXv4dT7lzq6jwn/2wpTiAG4uK34hP8lgNNyuP/8fZO1OzrPpw0rxiVMCqGE+kqwHqenHN8gdxP4ynT8LdOUkz2YBpKIOngjiWWx5Clof6ZCQ/ih3/7GgDgQcLT3XFIDIOuJhtPN6ARFtlo7YzG0NYZTQpV6iZFStkAFPeAbJx0UaaeoHIwpMQy/GQ6B6Ut0c1hf0Ixiii810+victNtXVGkxZ1J4+uU18bUBRXUzmPcCu7AkdaOhyPqRpWIvydS8awji7hZlH++nyrbEG9S9pCrQvDjLbpqfctg0RXxCIV7D1qOWQM6o+X5CwZ/3x7F/6p0Ol2uxnxU+Ju7e5jqLxpiZIutGZXfL3//N+coyBenWo0mibjWRdGOyB5gWFRILrSNKFTYiqOxS+fY42LK+dYUV3OgZIC/7j8nUKUJjCiuxR0HY/ZhEq7GtTYMJo1eWiJ57BHS4c4ITl1sO89/gEW3LPc4690H4xIeJpCEifa8kqKx+88lMyNEwwu8kdHNGp+Fjdg0m4u9je4l9bJFu58tsZM4NsteZ69yopt3m9t3mRj7PifPI+qH1YLi8Sza/fhnhctj11MMh4E6TppdAiJhRqPCjVG3qlNDr12B9DFJpl+Zv09b6LlAab36T+rrIqPcmZ51Q+rUfXDauG9Q03JxqiO6qCCcX8bXCQd+qkqM0rjladYJhmHcn8yQKsDRqXN1fjB8XB8MZH/ohtgt7SStbudnRX0eWtfp7lW/Xd1ciHgdPwD3318Db6rqBj5xlZ33u3RaeSGyLj5iTg1QUUX8sKH9cpBbvehAI7Qj4jEXVdWqEzXE02XSJmKRukd6V4RpY042Tg1+xpQedMSrJaKVTnhYGM7WjtS3+D1WiOaTqIjymiYPxutsUDpHMYCVpwfFowQv9Eb5O7M5Kok3eCEQQXR8FKF8HVqCIuerTEH65Pv7xaMOwA41tLpKlSn26DR9zPFiU8Vfm0qKbVApiw1JyYo+kv0mKGl+UmJYDHp79wwLSFr/J8nHWeAllp360HsathFRow/h/cvkDYK1veXb7ayyZ/5wCp4oINcCREAGlrJgufQF4wx85aLjHddRCwV5BPL7zRiBNtB9NJb79OcCnmKMDbo9C7QZ+R1cbaD7tmrogupQvX1/6zyriChQizGTcPDbTKfnzxVO6qiFz1hr0ujF2rY9vpmZWK4TN0y/np+XfKx6Rh3dhCSAVPYF0Q03H35dqbbh+k+18mINpyElyYirW5x4h0v4rxfv+K5bQZ6rRFNJ6ZZYwaYr9M1KKckVAzk8KFbUC+dlSCVWeOqrZsZbqnAeGpJ/EjTgywOWJVEF330VG7JyWs886fP4+uPrXJsIz3/sFIrVF9IPFsqD3m2cPuHp2OvAwe/8qYlrqr+UfF+AHh+3T786x0x9Eu5k/T+lBbkSgUHxDEaZgydimxwmfZBv7eNeGb9KDmrQrrhRZ1ONCdc7wFFecI16ryTbhRIlHMMMSqdrsbNevjujsOorW9OqcqgDvQ+ve7S66lTOxG9vqL1cPK45MIQtE/5qfJC20HpMVSCL10qv2oOrDuSeq4Dxd0vbMKUW6vR1B5BR4bGV1fAjaa9cLyHh3L2L1/GZ//yTtL71AbYeajFjOwckAqDrN19DFNurRa4+OkYpZ8/M053rBxUlLYnms7HIo9fPBfd6KeCqKKdmZB+TGdc9GgjmnOOTZpMaF2ILF2nrGF8pVqJRy7yAcQXrxUpdjY3g8pL1Z7uhs8/8i62HGg0F3A5pGr8xTkXnrOSzkE+3+XSe2LATdlS+vtfOXeC+fr8aVYCnVelgaGl7rUxveLuFzZpZadyQszThC1zLW945F18599i6JeGQudOKMfpE8oBAJsPNCXJUNK/KSc2N8wIhUeifZDXlAKQqfLOaXtZNMZdU3tESDbScb0HkYqPVDNaJ0+oSmqm1CWnYgNuNg2X//4NnPXLl9NOaqbc01TC3G7UmWR7SNYkj/+2PSLRWEpaw9Q4CJOHQOclXQ7LfS9txrMuIg8yxQUA5k0s99JMLe5btgUAsGTNHk+GpV/4/kVVAIDLZ9kX2HLCv0hSnBv82+PxKtDNrGy80fwHI7p00xOWqsYpdy7FXR4r6jW2xSOphgJT7aEWT4plp//8JVTetESY73SbUXrekyrTr1YoKtfE/++nPr4ffbdHG9Gn/3wZzv/1q8oJRffA0134jPnur2+kr5pgtGv1rqPYkGLSn5uF7f2dR1M6d7axdvcxVK/bh/l3vwrdcmYYFXKSmarABp0s3txmhaRvWTgFY1OQJ7I7P+VS0pDcwcZ2jL15Cebd9ZKrc/oVzvug7lhSaPGyE6yqipOHipGVSIx7mqwGuxDCp8ZQJBrDuMHWPZc9I/RvWjXuwunDzY1skoFJXg/uZ7VH9jj6hXSN85hmo//0mr040Bg3IjfsbdB6rCnaSD9p0/A2jeRjCppj4GRE0/t7qKkdlTctweuaAgXp9lvKqywr1JeH10HlwQJEw1nuFypZRWcDYxmm3vqc5/bR6AhtKy0o8comdRLgL5/fhC8sdq7EpqIxpesZlPHz6o1ZSfha8kHcqdHVUdZUqtoZG8L1exqwcvthYXw+t150ztDuJjs4YjGO/Q3t+N3LWz39/nE/juek6DbtMR5XY9IVpTIMfdo2IUGXDKOm9ghGJuizlOJ3wugyT2028Nxa6x5kQp1Dzi1LBT3aiDaSoVTVwFL1RB9r7cSP/7tOS/swQiJ+gBr0nSmGxIxvfW7eWO0xR11kt3dH0OSk9zV8RMPQo9rCANCoMAB1z760INfkSp45abBQdtrLpotyA+mEdfcLG83Xze0RcA7sOuwufNTmkzrHxfetSAotTiaUJJWx4KXa00hJNUWFfCJx1RmNafnM1Wv3aQ2ZGOdkUhfbTM9B+7ybxLRUkK4clZ1xLOROkM0HVX6gx1CDS6d9q+L0inOQfV+jz8Hwcn78wbeUx6Zr3FAqwsxRZZ6/T/m39Bopl1NelFXzg9N6sS9hIHnVDafH15B+RPN3Thnrjv+twwhJ9g/wR3mIIjfMMJOUenYC59yXKoFGX3YrCesXUqFdGn3xonuX46o/vCGcg3OgMFFUR1a1kPMKmtO8b7pkW845Tlv0kqm1rcP+Rute67TN735hk7UZBf2N1Nr8D0IJjGYg4uEmSdoJPdqINtC/MLmyXFSzQDmFBmf+5Hk8/HotHn69Vvm50fl0Oq5CG2JxreJrH1IvNG48TE6wEpDik68qvJXfQypfyaDeYt39eSwhuSR7JVVZ1LqNEYeVIR3jXJDHohJ5TjjYaB1LjQBKp/HqvcxkkQzqDVPJT3kJdbm5rleJodcZ4/jbm3HP6KiBhcKz21bfbMMXhvBap7xDva5+Si5RpJupr/MMyaDXTCNglHes66dOm0CqyuLEHadN/M3STUmfNxBPlpChn8IKupUYEP9QyKp1RGJ4cPk2V32UtpsWPpLveUyx+O9yWRXSa5n0ynJr/aC0i3zivRs5IHlj6oVr3qzwsuWE3UsPxWIcdz67IcnopW3ICYXwjEtpt9www9m/fBlTb33O9X3V4ao58XVuwuB+wvvnZ1h+MZUIy7/eFfuvPG8Yve3cqiG2YyVdP6yoTmW9VvUTFXYT6onOE01/R5irXbdSD7d+Ri99wOu4VaFXGNEq/p0uVOrWhtmsyS43zutGK9UI4+hCaDpJLi8wPFMGV2tbfXK7T06Rv51tPPm+Pf+MZurHYly7WJrHaCaoGLe8UpwDe49Zk8U7Hipa0QW9nRZQ0JRIzTYisRhKEwamKrHCS4l6N5SJO57ZYL6mHrFYLDlDXKBjCdnfMu0DyuNo+NAP6pUK2+ubsfdYq7A58AK3RrSuz7iZM5zUBJZusJQMQiF7A4u2Q1WlrqXd6vP0nqfS5elzppX25k8ZEv//3a/g9iUbcNvT65O+K0PYXAuJe2LDjI0XfdvQ3XaCVy1y3aOj7/9ZIdXmZf5QyQzmODxjijuf3YA/vLINU299TtJdt17vPtqKAUXJTiwVvj5/EmoTuSqPv5cat3j1rqN4d8cRTBgSN57lPhv2cH2pwBAWUEHnkZfzc+R51Zjr4qpE+t9+N02pTh31rVZBUXlu3T5sOSBGV+hzF+hIMi1KpXvtw7rnVhTCS3l5Vcl6N9REih5nRKsWDirTZIAuqIearRvldhKKaBYf4/fdeI7fU5QGpaCn8Foq1oCxkzJCyyr+s9fkie6CWgclC5qp39AWSU7OkqB7ZDSRLcY5niNSQ3LGtB2MYhQA0E76D+2zRz2WEv8I4S37jY5IDHMn6BONvCSkejG4gbiUoIHdR1uTxuVjxPsoVpyzjpGjD50R6zVd7PyUeKTG/dHWDpx650v45J9WpqRGQa+F9pE5RE0o/pvezkulsvYfs55hhcKzSTeMujnPAB1fKlNFFzVJ5e7rvFgvJox+o3iIboNUTjjxuqiGbn7piMRw3Ej3FAUA+G0i0c4ttFEx8vbA4mQueH2j+8iYaq382vxJrr//x+WWEU/51fJYdat+Q6O7bjcnMi797Wu4/Pevm97PRxPKFcY8OUBxzxraOnHApkiKFyxR5F8ZxqZObECeG5vaxTXAuJ0c9pHydBW8dhLvP7WP1u0RnZBtnVHc+Mi7iVwkC9RrG9Gsb4A13mhCeL1Co94rDIqmrASVDvIV1Ym9CjH0OCP6sCJsOadyQNJ7dLL89QuW7i/nHAca21B50xI8YbMb1hmeBk/UjRHtVOThUSJd4yQ1poMbiZ5HfPDEuZU6yyaogTN+SL+kz3UbKA5uGjSyhJYTneJwc4d5TD9aPENDlTjkUbP4RJ+jCHRzEYlxs0S8Crcv2aD9TEa6tJOYxosMiPdVVqqgT3QPMQjp+KzwkRNNuxD1pssVH91A5xkqK8rTHucG1MtHHQinjEvm2EY13iUVaDOOKDaDlM5BNwKpUNUK0qSgyZxPA9RRacf596ou8toWb+W0dfeE9uiLZ45I+jzVBHQDxSkaIDQyK0eN3tlhv84ZoMZJukatPCaGJvjfUUUfnnP7izjpZ+4qATtBdoLc/cImzL/7Vdz8xAfCpoNC7kvNJGKTnxMSFKbs5FbpOrJxXyMqb1oiRGmc8MR7luOCjglZolAVZQKAP62wrk+kc4jfN05NC3bJxbxSwb1LNzsf5BEj+jvn8jihxxnRKqi0Q3XJJLGYRX345j9Xe/6tdQmawA4XnC6v3rlUIIdrVckkfkrCZAsTFEYxAHxkluWppWO5VZGEoTWiuf4zu2fIOces217ApFueBSBOJvm56qFFw49u+FgxztHUFtGqIHjFGlLO+4Pdx3wrRPL4e8nV0byAekbkkCn1vsmSdnScU+oNPd9lx7v35m85EF+cfvey2rNInxktzf3ODve0HwN6Ope0KJHXHz4+2bCyA9U2HjUgeTPRQbz3LziEQZ2MYbr4Um3+NR5LyAOiEZ1KgN5o68IZw4X7nKkkU6/QGfAy519GupvVVBUO6DojnyMVXmmqifRmGxLP1/BAG9SVTgWtJlN5JUeaO0zDjjrEnECNYVpMyenR/OEVS0Dh4v9bAQC49qGVtt/Rrf3UbHhrm2g/6YoKCX1AQ+8ZVJwnrCmThqrXbR0ONrYn0UhkyFWL04Efpeh7hRFdpuBkRTWh0hjnuKt6Y9LxXuGGB+k2xDtcYfi6hVxyVeVtOlHhqe9pMJL9aJEOQOT40cVSJV1DQ6jUUJM1pimet9GH3iNFD3RG0QXTLP48ba+ReGrn4Y/FOB5csU2rguAVNKy2JMWQqgFqwJZqkvfsEnEMj3NhbjjJeLjoOEtbW+RPcnOjKNM5hEJGmkx0JxghTN0cQTfPdHzX7FVP/HaFAcREH24mQHIuUoPofR7Uzxtfj/Jif/1icjIg5fE78Umd7iOlr9EKiqnle1jf+UgKWsCW9KVeS5yOSy/48X/X4eWN7qviqUAVRz40Y7j52q76m/y5E75wVrKSVKrUJr8N0XSNF2O+3iHRep5IczPvBV4Sr6lhSeeNzqgVe3ASPaBrmtvKiTr1CdqPhkn2h47C2KmhcNC1kypbAaLMXWc05lhs7MQ7XsT8u1+17ae6Weqcqni+xKdPq7T9DYpvpeBIlZFVI5rF8XvG2BbG2DrG2HluviffYJXsHN0tf27eOOu7adIjvQiIU96nHdLh3FPJK0A9yeYpeD89FfukMCC93A/qrLCZyohuIZPX9BHEiIa+X6xVJCgaaJcWAhrqo2HF4SRkRBVH3OynqcfGjxLddAKnCaclKVSBopPniZpxYbf4Gpq4Uc6Twu/U20ANwWiMY3hCBiwua2idj6rQ+FlgiYJeD33+a/eow/8jyvQbZKo5G4lxocCKsaAO718gcKff2m5tmt0kNzc5VNkTF0b3Encq0PAtTVTdk0Iol46TMYO8e4+N+T8WA35PdHV1Si8UsgycsbkxogAPv16LT//5bc9tEtpH2kE31rRJT69OLtE92UOl3CGKBKlUVaBoP9lgI+3oxxzlBsY4eNcllQSIX/s5v3oZa9MsBGTAy+bwPdJO6ljojMYsZSgHuziVZ0fXwU+dOsZ8TW2oARJ9TJckTuleEY1XWm4i7Q4Tf/AszvjFMry+1TmqWt+cbMgbm0L6E/uOtZlrmjFOvdyndByYBrJtXS0AMBLAJACXAPgDY8yxTfJkrprcaSehXjK3Ozgd7BZFrzCk+eT2O01ElHsoF1ZQ9Z90pbi6A3T3xHiXMWBpjeUdorJMRl+g3kW6yWrpiJrnlxOKBO6YZBA+K0k7/ZNoWtIJtryfNUnR0OchxURhwMgQ/ilRH0i3ChwgXsMMkk2u0tV2Ar2HugXFLnwcMxcP0VsoG8eiRKVYFIN+byrZGIneR46OSExbTMALqLOWanjrChpt2q9W+QFEYyQas3SzubChkBRJSBcsLVCrIlQRQ+uu5+yrm1E9ZafyzcY91S08KgoVoC76ocKBxjZ8+LevgXOOZ9danuwfPPmBzbfUMPqMnEOj0ybX4crZFSZNZcygYkELPh0IyiykHZtJf6lWSMd5MRBUx7r5+pf+/h5elKg9lE5nl+tjx+n1E8Ymiyo0OeHVzQex7WAzPpSgQqQLL3KBR8m8T50CBxrbLTULB080fZ4qWV8VdNFw2g9kdsSjK5MlJQHRdurU0Dnka1BN/y9tSC2KQ5P/DZxy51JU/bBaaIcXylK6uRdA9o3oQQD+yjmPcc63AmhKvGcL+SapkgnoMbTz3bHEWRLJDsapFh433P5AFzg1Qb2QW+/EpabeJTljV9WB5MIH8TLaXeMx8As6DrqZ2SxdDk3eUG2c6PGLnq2xPFecC5SRojxrA8YRN8aMcrwPSkV+qPFCvYz052mRhQ0aCoDqegB1Uq1XiHQSveTVnDEDhIla1V/EpDSd98KeUw7EJz9R71mcjGk1SeKwTSqwQz3DlFoQ5Rwn/PR5x2ICbkA3rakoclAY4UcAeGjFdnNu2XGohWTsixsMei90HiOq5+pUBGcjUQVySlI2nrfOkNPNW7oNVmtHVJi/TrpjKVbtOop/v1snGGOpOE+NhXZl7WEhyVGXcEjBwTEucZ/lzZhf+SWC9468Fjb/DmOO8/i40XGSVbxrN3SQJWv24vq/ioWZnnrf8orb8f+7ugR4sYcI2habDW0qeHu7ey84vS/V69RVCr0syV87dyIA4OzJg22Po3OUTg5UjuyrZN8A8RqiGok7+RpUl/QgSVDUYeuBZNk902OvuVHGWuOFsqQq/KPLv9IhM1UIXIJz/jfjNWPsEgBhAEm+fsbYDQBuAIBPfPo6bJp3CnLDISyoiHeQrVs2oWZk1PwbAAZ1HjT/zmvaRz5rAUjeUk1N3FPz1KrdmD6iv3AO4zOKQZH4ecfnHVN+TkHPdfe/lmHT/kYsIPS+CfnHEse0AMQBumXzRuSEkvc39fX1qKmpwZGWDvPckwe2oaamxvx7XM7RpGuoYEdQkfjdp199B0+v2YNzqoZgRkWZbftV17JhwwYhoUqFxrZOMMZs+aBefhMARhZwLKhI/t3R4SPCcQYK81rR2i/+fk1NDQpyw8Jx8vfyczjaIzEMLmlB/2G52HLA+Mw6ZvOmjbjvpXjC2adPq8RZQztNbl9NTQ3G5rSa5yyO1puvS9v3m6+L8qwQW7hhj/m+3JfOGNKBlrL4ZxNKORZURPH2qrUYxr0llgHxxda81qO7zdc5jXvwqam5ZuY07UeI1qOcbGfXb6hJ4sweaGwzjw+Ra6Go3brZfL8wLyyEMsfmNyAn8dnu2i3mcaNCR9CZGwNPXHfH4V3mZ2MKG9CeG8PQiijCoRjKI9Z9Xr/Bav/ObZvNsdZRX4d5Q+IbkNfeWW3LK3Ya/w0Hm8xj5pS14oDieMPQCYdY0vk27mtAxYAiFOfnoOlQs/n5rNEhrCnoTIRMG1BRxLCggqM4vwND848hnDhuSmEjosa9kMa6Beu9ycM6MTzx97QRpUnXRL9fUtCI0TbXf3xJM4ZVRFGU14GW/snHnT8iiuLW5PYUt+xHTU3yYnVPgqP99YTsmtlPYi3KsU5/zxpPOWK/TXw+f0TEXHSPHxFBeTTRT4/tNY8dW9CAXOX9A8qKWjGpICrME5s2bcSs/q3CmFXff3XfoTh8zDrPuFzrORpjHQBywrGk8xwi39tQU2Mmtt14xngUSsob8TEZzycpK8rFwcZ2FDTvw+fvW4uRZYW4cs6opHbF6FxB0K/NmsPGFDWhWHPdB3ZtQ/MBcd53c4+Mtc0J8rnGJdbhL88qNCv8lffLN6Mf9Bntqt2sbIv8u9sONiEnFMJoBY2Ifr95/w7ttW3YsEH4LHyMzo/HMI7aAYlnPi6/ASGbe3V8abNpu6xauw4LKmIo6jxoe98OkTlmOA6Zr/mROvN1JZlH1q3fgKsmhLD1YPzvtevWk3Y3YVrilozLO2a+P6DDmoMHkfl4cEk+OG/BmLD+nsvP3fhu0/4dqCE2HABzrg+H4uOisa1TGIsDEsePYIcd5/GnVu1GLMYxPo8jX7rnFQM6XPVFA1k1ogGAMVYE4C4A5wP4MFe4BzjnDwB4AAB+ff+feOX4iSgpyEX1wxbX7Z4bq4S/R40dhOq6uMfwhOOGoLpOvXu+v6oK7ZEo7n94K7CqDXE73vpMxp8f3gogjNCAUlQpPgeskDltT3Vdi3BuADivtBQv1CXzBe+ZOFkZZqipqUFVVRXe3XEE1XXxkMtx00ahqmoC3nu8Lh4a6l+K5xLnHFlWiKqqKqkd+wGEUV13CLWLTlG2XwXjHPdNmowch9KxRqJc7aKFrs9v95tAfHBV1yXfk8LBZaiuS9615ueEYDiNfjx6PIb1LxDOFx7YP/FM4uiXn4Om9giqhhViFCtSPpffTJqM6r/Gd9GfLB2Bg+FWrNge3/PdX1WFI1sPobrO8NhwGM97/MRyVCf42hdOH4bqbXFPxLULKlG9JB42vW/iJOG+rni8DgcauXDtM5GH72j6nB3aOqOo/kvca95eHMYy4z7WtWPOmAF4py5uYP5+8mThHlH8esKkpEW6oL4Z1Y/Hef8nHDcY1XWHkr5306hxqK6LZ66X5OeA5qycVVyCl+viHPfPDqww+3R1XTMWTBsGNDShui6McYPzse1g/GGeXlCCxvYIVtd1IjfMMHy0Nc5Pmz0W9767DkA8cdSgSyw/cBjNHfG2f3pgBaoUybcG6PWrxv/Wjr2JMQRct3A8qp+NhyYLc8Pm8bT/0/N9Z1AFvvbwK+Zny17eiuq6eF84+YQKPP26Re8oLQihui6G8n55mBLqh+WJ+9RvaBmq6+LGAu9fgufq7OkF5RXlZj+fNWMUmgsH4PLfv4EPfnx+0hxK+yy9/v9buhmfP2s83nnhINbu7sSg4lwcauZJx33x6ZexrT55jE6aPBhVVcn6xMZvG983/pbHOjWKjOOtdnPcfYM4x/1+8mQ8S/4eOmogquviHvecgbnmuWn/kzFmUAF2HIolzS81rUdQeyisaIcIVd+haN5x2JwrYqWleD4x39Brv/GMcUlrTFOt9b1bh1eiui4+rs9qK8FHZ4hJXS89sh0d0XgfGtpZgHV7IqiuOwIgDNR14IefSG4jnSsoiodY/e6UvCK8Se4bY5aXcNHESUkSjcY9ygkxISpB75Gxtn3zH6uwYPownD9tGFSQ7/dZxSX4blUVFiTW5Tgi5mtxTotAXoPldgDAgof16xf9/VNnDVPOeQDwm4mThPsYK83F84r1C7Ce+fySEqzY355E0TTamNzX4ue7+wZ9X3vuxc3mHDNgxEDzGZ5/2ghU18XFEebOGYXq5fH16YcjKlGzsglLE/3x7omTUP2IwnNc12r+/qixA831bcz4QebrqmGF4BzYuD95A23cc+O5GzCu8erzKlA1eYhwzcPHDDTn+vsmT8bqumPm2nJ/VRUeS/SB9S0cOw+L85hsk9yfOO+Miv5YUydGeE/K6YdbPKyz2U4s7AfgVcRpHMdzzl1xLYwEsnIbjxKNKjlxZHR8Rju8slGvznHGXcsw+7YXHM+hCyeqwqIHGtqwMUEjoJxow2A31CvodU/0KC/jBqlKJGUKOvUMeg8N0fcbzyQJpmQy75efY4aIojGRIkCrF9FL/8Or27BCkp2joaFcwpej0l9bD1ohRSp+L99V43nSTOPVdc6c6N1HW5NCqvRvqgs9f8pQbTU3GaoEQWpUU5oKBT1nu9Sul8kYkvWzXyPJJ0LhFM5NCSa5wldBjtWeT5IkGlrW1ouuqgo0PEpD627UBv4tac9TWawkrVWSs08rntLnRYsC6fD4u1Zy8x9e2YbLf/8GAGD2bS8CsE9O7IzGcOl9K/CrFzZh4g+eNfnYujlAJS9mnGf2bS/g+XX7wDnHHkUftYNKZcIOspYvbe1LJG/CLupL+el0nXEqAOUW9PJ14emq4SVJ71EjlBaz2N/Qjh2HmgW1nxvOiM93TpFD3fnF960Gj5NKbdNxp/q6URzjy+dMsP3tWIzjifd344ZH3tV+LsOOIz62vNjXpGIZs6WiSBTyfLnSReVbeT6jSLXQCk3KpfMN/R2qNNbWGdUqHulgVPoEkLSQOfG8dfiMInGXDpO2zphZEVrGTg8l5VUCBKqkRjtkmxP9eQDLOOc3cc5dX7lBaje8EyragJC44ZAwk4qes7Ewqzhy+xraXCVqqR4goDZIPvbHN/Hs2n041tqJNvI9w3AzQvLUADSMlJ9ddpxjWwxU3rQE427WS65tV5QINX63K3jWcsZ5s42EmoG3ExMYzbqnk++Xzp5g/i2XkqaXRIsFqAbqL56zEhepqgZNQKSJZvQ565JLi/PdJz4caGjD3EUvYeIPnhXep1nVtL+WFeUK10oNm/Ml40rFK6cL7nBNwm0z2VjYTcjyGKQbD5oYK0rhiaoe1IjTSTvtOtyaJCsYi3H8+L/rhA2ODnSj5NTf5YQ6qhIBAFfNsWK6uoIF8k+44fsdT+TThEI/hFNvPE87VbuJP3hW2LiZiT2aNtCKkRR/e3MHDjV34IZH3sX0Hz2H0xa9hFv/s85qi6JfTKPqOR7nlVyiRnTy2IHCPaRzrt15ja701Ko9GZnXdIoGdGOq2pPQ79H7tulAI86TKsxFyUbAbRW29Ro1Isqtl9dTauCp7pVxz+950b5YhhNfexPRDzaqb9p9JxrjJsUjE7BrrjyfuUkI5Zwne1Mcfksl70shy9cZoPeN1iCorW/G6RMtnrWu8Mr0kdb4FMYUOYbz9JTHZIgJ5hx3SMXATnZRmEzevKskWGmytRtk24g+HsAnEhJ3xj9HUWM5oebimclJfvSGU8/JIEVZUFmqzC3++Oo2TP/Rc/ifQooIcNZdVRWJAdQT0dbEg31ja70Q9pe1fqlChQG33mPDyyaPd+ol1FU1+9a/VmPszc9ohdpVWLphP5a51Fs1EqpSGZPGYqOrEMfBBaOFfkYNoS3EyFJtJqhniGL2aHWXpkZ0NMbx22VbUHnTEuw63EIWQO1lJeFlTXREt0mMSV53OmbkhB2VJ4Qupoc0ZV3/Tr0UNqAySxdOF0O59Lft1BUOkGS0O59Vc9pUY2HrwSY8/Hotzv3VK47t7E/aqToXvZ8b9zUKyaYyJg21PqMbEjptxDgXCii5qVFBE2PGDy62OdKdN5u2BRALuFDovMt0ITY2vdQrtq0+2dARN0uumyi00/iuzotnZ4DRca+bP9MxrnVzEZXDVLWP9hPqiVuyZm/SRteYt6MxrtX+laEztmlJa/l+0nG4+2grrnnwTU/VbStvWoI/rdguSCSqQGkOxjpkZ5xGY9xzoqOXpDQ7pS856VjnMBN+m+s9t7qkcqdCN7J8nQF636gjas/RVtxGFKF0lZRp9IGCKg5xD35oNwm7NJIXjfGkKojvu7A99h1rEzafugjin1ZsR+VNS7QRVoqsGtGc809wzodzzieQf0ecvifLu6gkWXTqHF+bPzHpWC/VhgyUFeXijmfiO6GvPPq+8phvnz8ZgHcNXruO959Ve4RJrFyhBSrjh0+tdfW7BzTyRNSrOkCxCQEskfvH3nZ/Lz/7l3eUYRsVLCPX+8JVNaxUOAeQXPmOqnPo5lEn9QKqnEAhZ2MbeINUilq3p8H0ZM+7a5kZ7vVytd99fI3yfTpRFFFPF+fJWsUJyIsTXRRe31qP6rX7hDH22NtqWSQ7TVkK+muy8UA3AfLjp+2kihwfO8lKmvoKCSO/owirvqTYeOowmRi+axT0GrrYMWavHkAvhV7HrNEDCJkDqBTUSZx7BF1stnr0qthBp21sIFVlhhv++m7SuLarkOeEmOSx+uc7dZrj9Oegfc647sHSXOtVLvWtbYfMuZjeS3rfZHlDGdSBpEo+pzCumw5lGqVQgYb/aZEuWnJZxdk1sL2+2SyB7sUgbWjrxJvb1E4lA1Tpx6CX2D3D3UdbPRf6URlVHZEY5i56Cbuk6OMfXlHz4QFglWTQufJEQ3zm8yaWm691xrLT0NAZp7r7Ihv775M5Vfd9WjVYpJ65W6+3HGjE9B89h3+9o15DDLRKSiOyUo1hHJ9LVI9ktHVGhXuiu6+GtOwF97yq/Jwi257olDC4X3KIolnqLHQA0weu4octs+E360C9SLrf/Xl13BvmVYPXbvJ5du0+YRIzOhIdcKmipTO5nWvqjgp8OKdBoTOmDLyy6SBO+dlSz8awsaet13g87WBoewsSP9I9tjQo9ddIjaacEMPXpQ3Zx04aLX/FNeSQttEeuSRrKtDxeKNc9CqKIWb98/n4H9/C5//2rlZijYJqUduBnkvu/jRSJPs2qIF12nhrDJSSjfZAsvFT6djKHg070Pvym6XJ4WkaPmZgtveR9jNRaxXayAidG05yEb6kkMupewW9lM/OG5v0Oe1LOulEFXYebkFDayTpPQNeqvTFj1e/luHWT2b8/Kk2CalucPUDb+KRN3dg7e5jQr81jE76W4B680Dtdrd3hfYZp8fye2IYThthjd21u63NsM4pAACVg6wNnxt9cGrEONEqKXfXmC+dNlh2EpsqUAPLGJ+TbnkWu4+2Yt5dy4RjdZxcQJxz3EKmp1EKTaqVrh95o1b5vs4hlC8VZnuLyCReN9ca83K0R4U4xdO5jesSFKLv/FvtBFJBnl/s1i76nF7ZdFBcA30gzfdII1q+SWdNHmxbgCUm7Vi8YtnGA/icpJspn6elI4Lbnl4vJP2lCqfnqjKKjOuVi4UAwKiB9lqxBuSQ0V/fqMUl972GKxLJSPT3dHC6vZ/600rsa2jDq5vr7Q/0eF47GG2mz0zWizX+jEkTGQWNAERiXIiIREjlqVQgewCMNr+XQtKrDNpfCiVPNAWtqiV/VpiX7FF1sz7p6D/yZE0r1Mljiy6ucveLCROi2mPtNJ6MksFuQA0D1WaXRm3+9c4ubdLy02v2SJs6eo0chokkL0S6ec0NhpV6KxkuQyiu48ArKcpzz+UHkg3aDpvogx2GlOSjhkQ/7Axwt7dPnmPTxb1LN2ufnVBYR2lEe9cpp+fRhecNUHrgfwlN0amapQGaw+GmOBRdc5w2sxtIaN0srOHgRHJar6hh+PqWemF8Ozm/OqNcG2V2ebsEyJRo+txKNIWVnECLotAog+7ZPCFVWaYVIf/02nbzdUTQibZeU16yNYvZw0sk0IA8NqKcmzQ22SlK+3xDayde2+LN9nBCjzaiDa5gfk4oycNMF3jBy5PCPPiZP7+NF9bvF3a18tg8466X8dCK7bjhr+rMYhV0obUY5/jTiu34y+u1ys/p5GkYX0ZHVnF4PnlKpav2/HeVyO02kn9oqW0vZVbtYKdu4jeeTiwMOh4i9U5yrp8A9xy17kNJQQ5qaUEVztPa1f5nlTh5eTWQAODzZ1oqBq0dUbMvUEO8hRShkX+DGvJymEvVHrqwyomIBnQh/q+cM0HgC9cTLmaSJzoiG5gWhIIvgseNlFL2Mbvlf4JhkXze54iXji5IMyWP/Jf//j5e3GDxkeU5itPXgrEN5XfcIJWIG0VMMKLtrQQdb1qHzTYJYF7GVYyL1eFiXF/Vzm2/0OUnyH9XuixP/vz6/dproudUVZqlz1yOvsowks6inGNcght/yEPBJmrgOsmaGqDdYuvBJu09LlRIuDrlT9CkXsOIU1Wxo3CqSPfChn1mWz/+4FtYeK9VzfCwQ9QzGuNa77kXhQgDK7bUazf/yzelNnZp3gqdE5+UjGUDMv1DR3fQeXNLSHXo+NzlPMZeWO8uL+OMSVbCY7IzRT9PUE/0fcu2CEop9Jypokca0avrjgKwJrdojEOOdgjqHGl6og28RhIB5UFr7GDdSNmo2kXx7Nq9+OnT6/Gj/65Tfk4HrjFYjVOpeHpuOYVukh/erj2MXYdb8IkH33K8l3aeErqrdVOJzw9PtI7O8ciblicyxrnAVaZY8oHlpWlsi+AvxINJedWpQM6CNs6Vl+N+iN5PQrGzbnsBF9zzKpraIwKXryOqN0ipUUxDzEDcGP7aY+8nJXcY0GWJ202Q9Oc7JF4oVVKhGdQxLpZRF6smqo083QKbykZlaKk6292AzIW02pD8npFHAIiLHfU+N7ZHtNQGvzyjbkE3l16NZCfIUpUFudbzd8urB+L3bjyVYOM8SdHHgNsKoJysMxSy59StoQnY9Eny/k+fTlZ8pW1wSso2KmLGyEbMSbJMJ9v23Qsmm6/tEuZp++55cbPW22/wW73QfiidzlDiMX5Pnq8MOJXH3nW4FT948gN88x+rkj5zopfccMY4LS/eDylYygF2SrqU0dYZxc1PiPQIVXU+GW6VKWilU+qxF/NX3BGm3NgdgNRXpBNvPtCojZbQa5o0tERw2LihJDrB1ahnjOUxxj7KGPui/C/tFqQAowSp4UGMxJIflm6nlA4FhpZ5dnMep/lBZ0TrZGUMqIxTO4PArSfHjSZkR4Rj3l3LsGJLPR54NVmUn8LtgDyqUbWgSFVvErB2m1Q/Vjd23Bomsmcx7sFWf9cNd1We4IxndtnxI4X3H1y+Ddf/xUrGlOXaDBgT8F9er9VOnvL8b5cw9OjKnfjPqj349r9WJ7XR7rs6CcKOSEy417TUeowDM0dZ95dGQsC5QEmhi1UjoVJFXIx5YyH2whXWeS4MLWOdYeY0BmVONAW9fp1zoCtAf5t6slLVsKWQ5wqdRKQTOMSNZ4zrQ8puky51dI4maZ72sqnROfJVZ9he34z7Xorz7+lGUafuZLaH0Njcto0eZ0SXZlT0FxIL7fod/X5LR9SRBvKeJnFNNZfSddH4GacxQB0fOix+a6dSg/+NrfZh/5ywfoF/aYN71RsdZOUtL7jt6fV4dOUugb+uknPzAyquOhDvyzt80lUH5DldfO4tHVGtlDGlJdXsa8TzxLGj23x5gdut8z8A3A7gZAAnkn9z0m5BCpAz7F/eeDDJKyrw92wWKBlGiFmW2QLEzFM3Hu0PnzDS9nPdBOA0MaiMaLtMcafzHWpqx4f+bzkOuRAZp+H559btw6pdR7UeZ7fZ6y2S7rXK6NPdbjfKJ8ZE/vh7lhdVVxjCrV0iT7qtnVGt90Hm/6pwgiSDZ5xKpkPcvmQDXtwQ90DJz1VVfOi+l7agX77aG8M5N/VWAeANm0VZxVekYbL/amQeRw9Uh7jvfWkLYpyb3gXK14tJPOAko0gTUaCRATdJkvsSXDmdp7OpPYJ/vbMLnHPsONSMC3+zXDuWDA1oHa/TyQu0JhFdM9qrm1/cJMXMn6IvoJIO9LkC6XtzOqVrSTViGJNoVXZqO+7PGf+/TIWQJS29NFl3L1Vvn/3Ll/HL5zdhf0ObcG1OzhbDpojG3BvR1NAyNqtr6o65jjzIfbLTgTuv23S2udyY2V1XiMW181OFLqpkwM5AdHo2XnGKx6TWxQpqTJuLcTpOozAlQ5dnJUYUXZ3KNZLzRiwMKy3AnsR8Lju40t3k73PII3BrRJ8PYB7n/FOc88+Qf9el1boUcbKiQ8m7LF3CkZO31eRbl9kn47mZlGRPhQyd0UWTG1QSNSqvn0pua4DBiXNYRWbf/iLW7m4QqtnpcAEpx/rezqP48G9fQ9UPq5XHupW8+ieRtpl663OYeutzrr4HADNG9Xc8RnX9uoQvznmSlJUO1PBbveuo1hPtpq/I3D2jb+w5pjbKjrV0Cp5XAPiiorJba2fU7AcyopKxaqeYpVowDrpQSnGSeDO8OZ0CnUG8Z50SNUNnRFNQo1R3+3Mdwu8X/WY5vvPvNXhoxXac+YuXsWFvA/5GqD+fUyhU6OBU6Y7y1uX20kXBTYVJnQFqV53QDXTD+fqH3/GkC6yCTLn43gLv5e2B+Lwva4n7xYmX80Ga28U1x5CLHKEpcEGhW4fs2vrk+7u184EKMdOD7j7RjdIG3tp22OZIzW9K7acqECrK1x7NptNwfH3336ttJVpp8arktnjPG6B4apXaMWDg7hc2aT9LpbKlnZLRVx973/P5ZLiJNG+rb8a3zpvkeJzO60t5/H7TzehcLxfRoRQj+ZHrCm8BwEccHJ0AcMqdS20/d2tEvw8gfQa2T1CFJeTBJCTBkLtqyM7pYBzq1AGo5I8OTh4andFF5Z6OtnQkGUtus7KNTpdK2Fe3e9t91P3k4HYMGckLdUf059adys3i8C+NTqyBD82wivXUN3XYlpOnoIZljHNteNXN/Zc9JsZ3dDSJ59btS/J6qjiUgE2xFS4a6bM0RWEAdTEVN0WKNu3Xc/m2HWw2r0/2HtI7RvuRnKyiTyaxV9EAnMenwUW+nVTGoqFAp6SlVCF722nzaX/XVQ/VRYBypfCzVw+NzsDzkgeig0zpognScgK2HXWtoS0i9IkNexvAuTO1LhU0a6ILe4jn6u7nNybN3wC0VDi7OXPdngah6p/scZPhVrJSB0ojcvotA7LRSjfA46Vy4QCwcru67xjN/ec7dULOile4KeKRCbiR95Nh94zcGMB+QRdVpNA5AOnc46Tg4xVUwUmWuqXrjLwm0GO/u2Cy8JlOgcULxc8LnePfjLE7GWNfyjYn+o1th5JCsLLXk/5py+GSPjN2OLuPuN/x6yAvWjJ0HZGS9k//+TIc9+Pnhc9VYRkVZcC4NN3v2BnjOzU76T+8Ys+DphhY7E6W5z+r9mD30Vb89H+WESg/T90C7oYr/f4uvYc9LyckZBTb/ZYdIjEuKDNQfKCIEsjQLSY6LdJXNx/EXqIWYldZSVuxLSZ6dSsG6NUF9ina4WYz53YD1ynJ0+kegRyep+e/9PgR5mvKxdT1/xWbvWe808XMDV1pmEMiogFaIEBOyOHgphHoxhjSLV7yhnPyLWIEyYl25EeylA40XwEQlU3ksLpTqFzeHMXvX/JcPFmj9e8WLQ4G2k2Pr8G9L21Jmr8B4IrZFYpv2NMN5cq4e2zCzJFoTEtpTAUXHZdcFVgFOWJFn4VK2UmXLxKLpa52ROUVdZ5ut7BTQJEjfB890Srw5LT2qyCPTy9J5QY6IjFb/Wo3sFPKMaCb+uhao1oz5GPveVHvzbfD1BGikUsl++zmyB31Yv/UJb57SWZ2+5RmAXgNwDDEedCUF50VXPib5YILX35gbrUxdd4Ew+OUTihQXhhkpLpTUxkvKq+asQvXtUNHwwD0UkhedsTyxG1ndM1d9JLg5ZONaB2fy83jMST+VPxcBus55IYZivPCKXG5YjGOr89Xh8F0yXVJDUnggmlW2F1XSnzT/kY8SWTx7KQHdc/MTp1jqAtN4Vc3WTkC/TxW5ZRhhAcZS+YEf/LUMQDiIX/OxY0TNRToskXpIbr+X+qQue+EzohzR3FreC4lWqnyNcZiVrhSLBGtNtB1NCqntpxYaZ8Am4qaiVs4lS+maHLglycl/MWAkMIVnW64eYeDjBktPCV7JinNiRbV8NImXYluIN7/qYHgJEnIOUfNPrXhMLx/gWteOVVVAeLFLeygi369u+MIdhxKrdomzbHRFUVzCzsj+og0r4hVKL33LfnZe+VBA/HCMCf/zJ5+4Ado/tQ0YtDKaw1VUpLxgyfdVVJWQbbLKDXPbgz9w6EqYipwZURLPGjhn+8t8gDaaWXPMTUCdV4+wD6RbPnmg2klpbzjoKmc6iR+hFxbaYG98dIRidmWNdcZWDqD102ZcQPyJsFLdrDsbTqiMerd3EKjPPscSb4pxOJGm2FchEMsIRDv/bm8se2QsGkY5LFilS5hTEfn2LS/SdCpfvj17dpz62gLsqfnH2TRd5JyAyAUFpoy3NtiddFxwwQerCHXlRNiSUUHDE3Zfvk54NB7oun9n0koAA9r9NZTqSpG0RF17s+pbMJj0g2IccuTSvMWdJ46OUnPgJMeq5PnL5NiIEc9GNHHWuw1zG956gPxc84RVnii072cp4i3XJ5bZMjzqU6q0Km7XD5L7cGWIW+YVJ5ounF5/L3dWHDPcmVCvZfERHnOf8ZBHUMXzfnj8m24b9kWx9+TN/s0URpI9lh6hReqUroJtsnqL94Kt8m1BjIJXV6KbE/YdRsql+oVcneeWVGm/SzTsDWiGWMrE/9/mzG2UvWva5rpDFltYbUms1YuzWy3yF370MqMykilem7q1XDKxHeSGHp+vZqCcEDj5dCFIdW/refHOeFtl5OXl5LqdJIaNbAQjLF4aeZEO3NCIcQ4T/IwuMHbtUcEb4/X8CkNg7qdjCnlxi7BRkczeUvaXFL1mbUuqo1ReL3eQcX5wmRnJNZ1RnlS8uAfEvzRbfXN2LS/SV/Bj7x+1UVxgrLC9IzoF9c7V9pKpUw9h2jgRWNcqc2rmz9W7zqaUjjZ2YjOjif6HEJ1AcSqm0CyISYndXGImrsGvF7PrNFlwt90npApYTLkYmBaI1oy7WVv89hydwVdth5oEqhEqmdLnUs//V+8JoFKTjAa06vFyJCNKCcZvl9rkvNGlBUKOuo6hQT5suRmPrRC71xwgwFF+jlCpgN5Wd9UkOdwL9VqG9o68bXHVqX1+wY+fVql4zE04mBrRPvSomTI/ZEyCuzGtU4HPR04eaK/k/j/txOvVf+6BSoc1DQMyLw/p8XfLjEqXaRqRDeRrHCDO6jjXkZjXOBqyfjy399Xvv+L5zYq37fzaif/tjigXvCgnemW6uI2xPzMB3vFkqqxePifMasPhEMMMW4tXE4cUVpivX9hjtCX0tl8LXdZEt3tBiKVpBQ3zaeZ/F6v95E3dygX5ri32X4i1CUW0oRcN7jmwTdxxxJ1MqYb2BWd8Hqe0ydYZYtVJW0NTyqt8mg3d+XYSa1o4OR1y6RDwa6PyhEDmePvFOHSGoAeL8fu8Ch3J7dpHq/RMadNvei4YXjiPdFb59bu33KgCZXE4FbNp4dJSN5Owi7KucCTtStg4qbUN4VOxUI2mlWbICD52cpjx22tAh3sRvggiarQ1brtBh5asR0zFLz7VOHmOujSTqMe8obWz2qxNMpg10Q7m8CvissUtjMt5/wV8v/lAN4m/7YC+JHvLUoRbr13mw+IRrFTxSSd4oEbOCUGpJqoo8r81e2CYxymrrAX6Ph2dR4SLiNRjlc3HTQLgrhRNDGwQcPPS/oNl9pNX1z8HmI8bjQD8cHNWHySNCbenBATVkqnx0MXjP6FucIzyNaEqgKVJbSDHX/NCanw+1WGcnskiiPNHbb3nsN6jvQ+r9jibvNhoKEtgj8uT91TpdOEVsHOUxmNcbEfc0mdI8bNDVPNvkazmqPdYmFXCCJVZNARbQu5n+RJ0oRyXousrqNr9zaNuokOOkoZEHcY2M3nchKrroouPcXw/oW481lRTepXNrJqQltbOoRNpWqetCuuJLf1P0TuTVWy24AsPeaE609Xy0RulJxXOm6yHOnxO1ryvA0FSq60l64nOlXcloaNooKuH1PuPj2GzkOUC96/MNdXTzRdY+TnTDfh3YrOYYAxdiOAZgCN5N8OAN7j3hnCnqPizvX4UWVmspPBVwuxZO70+j32xpodn9oJTh5APw0tXSIgeGpyO34gEuP45J8sxo8XL7ZbFRAvNIL/rd5jVbriPE7nYMwcnDlhZrurtsNz6/aLZad9KCfqFz40U51Zb2zyDP3WVKgHBlLpyzFuifvPmxj3xHZGObbVN9suhpTjqnv+biW5ugpOazvtLtvqmyVFDvFYcwNhc1LZ0PQDmVTnMDBpaFwGbf6UOIVjeP+CpM2CHKmhcoaAPf84Hdhp/0ai9rxhuZCRjlNKJdnSafevX9iE9URhQDVM3EqlyvkpdoWD7KIZNGHawIMauoVchMWuRLvs1fez7xvr6sIZyXOofP90kpM9DToNaEHxiEZdNf1UpuV5haw9b0fZoLbWTpuEX1mPPt28GMC9Osf3AVwI4AwAjwLIA/BzAH9PuwU+4W8KLUnDG0MTx+Ss2Y8/+FbmG6dBV3gro5yb5Vu9wE2VPSekK6tEodPkTVU/M0roHMZzMDjRqaIzDU40RbpKFzJ09vy48mLkhhlG2UjbuUUqm4YY52YC42CX2txA3AAx1BZiMa7UAPaz76UDYxw59Ss5p4Nziy4izxPG+7prLMnPUXqi3VYjo6DFCDLJiTZg8EINucW8nFDSddIS1EByREAO/XO4K4CigqpAiApOlRHlwh3U8KDc6k6fKr65UQRKNbSto1YA9mtaOuvdUzZJc7JXf4gLZSG3MJK3VSW45fuQjhPCCZmqQqqCzijWPT9j6pLnYc69qe44QVX23YAbZ2dJfk6S4ond5swt3FpKgwGsAPA6gEmc8yiARYiXAu8WSF6ErJLChicjxFhK2ouZQlcY0at3HYUiMd0RfpTylTnR6UDnNUlFSggQ6RzGIp0bZmktXHLVvVTh1kPkFtf/9Z2k90aWFZoLv4rb63WHnkpX5tza6MrqDJyLeq9A3MMUl9uyPNFRbiXdnUASv2j495Rx9tJtmYRxW5zG+q7DydQQIxlN5hUaSh06OkdHNKbkRHulLwCiukFX0jlWJypOhhlLCpPLUTfDe22A3usBRbmIcbXEnRvovHIyIjHuSQLQzdyf6fXh+fX7sdylVjpNNpPnXKpxbqw1IxU5SnYeQifYSc1RxLg3yqETDMqe7FQKh1gSFz+TdI7aFOX+UoFONUO3aTf6aXKSZ+b6b4OkXLLeha5zjHPXzh4vNpNbi3I14kmE+QBijLFpAEYCSN+F5RNkiaEo5+ZCEjE9jaxbhVz8MFQB+87avyg3a/zcO0ilt0zBbuKy4+5FE7JhDW0RU8s03UQxvygcXeFFHT2wKF4OmGw2Kbzs0EMsdU+08dsv1Yi8/Y37G5M4h/HETw4IXlrrNR0GNPSeTX66ESmxW09yQkwpiWh8V/YMGY9L10/aIzHfkh7TLdyQKt5PKBMw5jxPyn2HgiM+P6Z6P+g9rhxUpNSaB5LLjTuVQXdT7TOdSn2AOy/6tQ+txDm/etnxuIM2lEAq5frxhPrVqIHJRrSdgpAT7PqAoKmeIcPtI7PE8tDRGE+aI/0acwamDC/F3Alxz6lXrrkXyBQHHXTzqG6tsJt2ncaHDsZ68ZqU/2JsdkoLcpKK4BgozAu7zt3x0o3cGtHXIV5YZQyAXyGeWPgegJ+5/yk1GGO3M8Z2J2T03OunSSiWQuB0cTUevt+dvLtg7M3PaD8rLcjJWmh7a5qZ0W6gCxeVFeXa7iajMZ6UeZ2bJpcuElUbpN0ROWFmctbSHRc54ZBrjx1FNMaRk7jn50oyZsrfSWhIx4hRFI3FCD9avdB2+Fx+NhXYLe4jBxTabkKONHcKnjA3z8ur1y8nxJTRh3QSL/1AiDG0OyTA3VWtVhIC4sbtezuOJFXSA9xpuQsJVFxftCQSs6dzyLj3JWcN5HThVqvejYKFis5ggM7BhpEybYS/OQl21BNKo8hUQaD8nGSHjLGuXpagPKVDwysryk0qVMM5T3tN0oFOIW6dDLpKobrcoVTqLTjBuOe/XbZV+XlDW0Q7DuubOpLU1vzgz7s9w0TO+Uc45xs55/8CMATAEM75r9L5ccbYPACnAhgF4LcAfprquYzqXUZHjsW4GSpuSAzy3mpE2yESS718ak9GNKYu9WsUp2lsiyRpt6araNARjQnGTnGCjiBPjt0ByzfXm4tnutfdGY2ltFHj3CqPaxiZU4aXYtxgNXc3HGYJ+Ttxg2xyhDXGsk4zvisRL5ii/izMmK0Blp8bwijiAU1Fx9wJEYVnTYWTNWWa/UBhbhg/uWSa8F6IMbRpyta7AYeeHxzjHNNGlNqWZrfyJeKbTl0hm1Srz2YS2Zj2jWfltx6vXan3rcRLm6lrtssrejIhM6urreAGOSGWlLsSjXEzmip7wtNFjFuRWq0ogQ+/kQ2oHBbGGiEnB3sRD9DB7ep+H2NsovEH57yJc+6HgPI5ABZzzmMAHgMwL9UTvbIxHpI3kgooV3JPQnOSGtF9xaBesmavo+B9b0RjW0Sp8UkXVNnGTkVblyISjQmce7NUcyw56aI7IZzmdYcYS1GdI5lyFQ7Fjevh/QuSdFjHDCo2S2KbvGAO05ud7WTCb/5zlfazOHVG/Vk4xGw90brkSTvYHT9hSD/9hw7IlGcMiCdqyVKAG/c3mtSOVGAXljX6jt0m1zSiw/GiTDpPtFc+rK5olZ/KEtlwnhhSeH4kpruFqM6R2jXfdcUM28+9VOoFoHUE6BAOsSTaVpRzk8ufiaRFOxvI7vm5nYsyyYm2Q5OCP59Je89t/OFOAI8wxv4IYB+Imi7nXM8lcMZQAG8mztPGGFPGnxhjNwC4AQA+8enrsGD2pYqjmjGjBAAaMKkCGFDUilAImJRvGU3F+Z3IHRHC0ZZOjBlUjB1dSNb3AxNKORZU6L0yIcYEtQkAiB3ZjfNGeCtCQTF5WAk27stcwRm3cLp2NZKPH1CUhyMt8QkpP4cLXLuR/VswjKfu9RpT0ICBwyNoThTDKcyNGwaMRQVDs6Qgx9azIiO1a7dHOGS1pzx0xIfzRwCPzifGgPF5x7CgIopRhY0orohiaGkr2iNRRKIcIwtiWFARw+iBRdh5uAWTh3ZgV2472iMxFOZyNJVF0b+wFZ2lHC0dUQwoasWEPH/vkxe0HNiJBSkQ0sKhBkRjHNMI3ZY+85xwDGWFDONy3V9bWVEujmo81hdOL8TIskF4cIU7GUmKyn5N6OdzX6TYvnWTb/29rCgXze2dSgM3xBhywx0oKwI6imKoKrT/vfwcjtxwOzqjMXREY0nGeWlhKyYVuG/zgM6DymscW4KU+pAKpQVtmFYc9TUhlDF3fNHI4TrHZ1hTU2Mek84z379zK/luaucoatkv/H5+TkhYG47urfXUvhFlnYLtYYcJpRwlBR1o6h+R7m0DCptb4r/bss+3fmFB3z55baSga4cd3PSVTKxtakRt50RH2Pgh3RrRVwFoBfAJ6X0OIB0jmkMsCqS8m5zzBwA8AAC/vv9P/De1+oQxAyP656KsKA/r91qnHFaaj30NbQDCQF3i/z0ICyqiqK6zb3NOiAkeuW9OGYXq990J9KtQNHgAqutSz6r2C26uXYVZo8uE8qnjBxdg68EoQgwoKchFcV4YpYW5qNnXiFPzSvBGnbcd/8iyQlNi65S8Yuw6HDL/Lu+Xb2p0F+SGzOIGI8sK0NwRcT2gU712O3xk1khSVjeCTI+FgcV5SrpAydABqK5rxkm5xVhZ144TRhfjcHMH2jqjKMyLorouglPz+uGNunYUDh6AV/ZH0NQWQXm/POw5xjGyLB+RWAz7GzhGD8zHzsPZM6Ld4s2bz8Updy5Vfmb0J/rM88IhTBxahHV7kjde8ni3EIPumTYVcPzt+um44jHnxDXavwFgfkl/vFiXuWTDl/a145xhzJf+fsLoUtTsbVRKshXmhpETYqgsL0JLRwRbD9r3m7KiXOSEQonxnNy2glygrdNDm+vi55ENknAohuo6f7y4I/rnob45dRlQipmjyrDnaCuOtnS4UkT6zEWVqP5fcglxivurqlD9cJzbms4c15DP8Hqa/eXq+aNRXWcVVpk4pJ9QpfEHo8ejus6qczC0NN/UJzc2+QLqOuB2Tl1QEcXa5gKNqgh3fR7/kfnf9frc5fnICwpzGVrJGHW7IQSAz9gUxHY7Wr/FOT9b/gfgay6/r8M+ACMAgDFWAMC3mMWeY21JXM/uHFL3C/KCuqbuKKaNKFVKDrnBGo9lXFXYfMeFaZ8jVTzxxbnC3ybFgscHEWOWEZIKN5jKa7VHYsIAp5HZMOGOhELi3xRytbVMITdNCgcQN+7chsm0fGCDzpHwFsb5wVyoLmmEOeOTXlwFIUQ40TnSObo7htloFqseC6WmyUilz3qp7DigWMx09zNxNldqe8WAQlw8Y4Rv5y/KCyPGOWaOKkvi6OblxDXhKTXIDjmhEDpsuNluq/8ZMCg1ul/2SgdQIco5cn16XgxAWWFuUh6JDm74wTttitd4wSofch6oPCYAfCyhMmJAlkikfaa0MH1d/65KSLcr2Z4KzYt2h+EparF7QToSxfJmWrcGe4VtixhjUxNydm8zxqYk/jb+nQDgtTR//zkA1zDGQoh7u9XumRQhLzx2E0C2VBVSNW5VUEkavbzxINbtacCeY5Zx54V354e0TiZ5lDLkyVAG5f/K9JdU+gBNTHh/51FhkFOONZ2Ew4lKiSrI2siZgh9loTuisaSJSF/eWv17xm0xnkEoocDBOdCSoMUYQvot7VEcaemM+2YMI5oYmDpOdCaq92UKqok9GuPa/qLbDJ1jo3Yyc1SZ6/Z0RsR76mc5cdl4zQ2HcLGmuqYKupLRBgpzcxJ9KZlTHjeigbW7GwSPox4cDR4oWE6YPXoAhpUWmEaIVZ0y9blIRkt71NUGwQ0isRhCjLk2PNxII57xi2WOx7gZu7IUZiqQ1yijgqoBWQZubyLPKi8nhA1706c76nTMT5WKg6SLwTbc7lkOa6eBcpKrQvupnYHuF9IZF7J9lKp2vAynHroEwNOIr4DPJP423vs3gCfT+XHO+UoAawDsQlxG78fpnE+GccOL8sIoKcix9Zo5JRZkCl4dgnZzmIoeYBgWNGyhKmGa7m93FzgNMjpXMsQXciOpK0czYZ9ko0jw2haRLEVljmiCA21XiDGtZzadggReEGLMHA92etqO5wmJk6qO602v94TRZZg+Ml7EY/Fb8RCp0U9Xbj+cCGvypASR6nXx8LBQbCXGlUodFHIhpu4GqqmrM3pk29W4TJ1Ra2c8uZU+A5IXGj83xOEQE6oobq9vTipgYQenRNIXN+xHRzSmVOrJz/FWnZQmdnk1bHQVNcMhazNttM9okh/Gb2N7BI0ui5Q4oTMSj/7o5i1Zm/esyYOTjtFvsC3ISimnTfDXiNRB7gv9pLbq1pUcl/xgJ+jOX1lejHGDi3FeClWHvfwOABTl6Z/PiZVWJCcsrWUG3EYp0oFT5HOsTVVWWWGlSzzRnPOxnPOxiHuMLwMwDsBUAPcB+CWAz6bbAM75NzjnIznnZ3HO3ZVPcgnqoYobTPpjdWWlMw1aqexsxcQjw48kkVT7Tld6lFOF0yALC4M+UfY7wfGTw8tAfOL3MtimDrcqvFH9VGHiCbG0soX9GPvUA3/lnNQzVsKMYXh/ywhU0VH6F+YKk22IWZUh50+Je0zlhcguG52W/aaGc2c0phzjWUoSt8VEEjodM9Ca+HVVBXVRNV0/CoeAMYPUhUFKFcbMzAq1rq885P2M2IVDDKWS9+q5dSKPdq6NESV/V4dIVG1Ep9otvBagURVoOdzcjpwwM+Mz8piu6QbJ3BSd0RjCofi4K++XvAmTx73KoHKTTC33566KzMkokHShGWPKvu+XIaZTSGIsruP9wvr9ys+9/46+vdQGko12+jxphJUmH6YyNdhFzFRwWjftpAhl+8WvucytVfQBgP8izjS/E8AlAD4C4He+tCJDMB52NGbsoq2bJk/ODy73nqnuN/wKvfmJDxGvtdsElZI0ROfThUqmjnpa6SBkLL6IGZxb5UTmsRiJThqIGoUhlt6zXjBtWMrfBeJeI/r76Rj0sncqT7EROdbaKRgJYaJUMjVRlMGrRJixeMVille6oS2Schn4robYD52Pl40S4+tazzWZ7+Qwa0mBwvjUnEc2Jvykc4QVns0TRg8Q/rYbJ275vhv3NyYVWcgNh1KW4PJSPv2pL81N0qYFgGUbD2LHoRbztjPovbzpwC587wXb6pux+0hrQo4x+b7lSzKBqRqXctKYnxx5O8j9TOU1V/X9UIjhV1fOTPv3df4pv/uEneFI13r5+dGv6aLnqaxp00f096Q9v26PWN5bjoDYSfPJRnRX0TkMfBbAiZzzCICPArgCwNWIG9LdFkanN6rT0WcsV7Dyk++WKpzCIX7tnCxVBmeMHOCds12QJe8BoB4Y5SWW54QqdRh0DsOgUy3Kje0R20Ssj500SvibcqJ1oaVN+5u0E5FBc7DDlOHOx9ghHka2/n783bqUz5UTYiLfW2NkUUH/UAhJ99xNSPSzp481OZLGb0Y0FI7uDjrW3Sw+8qJm+DB136WUoRADLp9lRRvUkm/W64+eaPXpr547UTjuDZ815ycNLRH+niF5xO3mxIEKj6gOckEJgxPtFrSa441njnP1nXkTy3E84Z+rvKqmL5plJhw+sMj9PXLCkZZOhBhT0gZlB4SukqxX+F35UAf52aiofTR5tGpYvN/mhBhGayI+XqDbdPztzZ3K91P+HTLQh5aKGyzBqyxd/pvbDlvn0LS1Zl+D8n0d3rz5XIRCDP+48VRP36MYM0hcY+0SD+XNr1MfnZNIRlZFkijcGtExAJwxNgfAPs55PeLyeNlzObqAzEOlHSiJZN6F6zBtB1V3cJpD/SwmUezS0E3Fo9CukJTqKlAbbnwiw33eRDVNhjEADGmpc3RIiVd0t2tXBpbSeCjW7naeiLx6bWXEDSzrWr1uIC+cbnnCjYXVgK5gDY1ivLntsJnMZRjdbjzIIWZxF43bTBMLGVNTFboj6BrtZu5JKsZCDGQVQoxha6IiZYgxPP6etVE6TkHdoM+QenN2SBx9Pz39R1s6cf40Mfwqj5l9x/RyVunwRL1yoil3e+IQ0fDXKeoYko5GkpoqAS5k2dBapQ56DhVU5doN+Bk5AOw2beLfXlSddIVnAO85Q6mCMYbjRro32I37EAqxlCUEDUMcsI8G6pIrU1HDoE4k2QCl495uY09pOZTD7nZuuOfq47Hq1vNsVYrc4vNnjhf+VpVnN/DqJostbNAI7VCcn4NfXz0Tz3zNvgag2y76ZwCvIF5V8I+MsQkAXgXwP5ffzwrkkCntGAOkHbqTN0jOzk2rXeS3KNWgKw35E6UQyvGajH16D91WoUrXq7/9zotS/q6svgEkh6Tp5yHGTE60LrHQDtQ4AcSdcGOb/+WZAXVFJi9QhdHdYv1PL8DvrpklvCeE+jye11CXMMK400bovewhxpKoNzHiiaZc6UxDxyF2C2OzVJwXFiIdutCmHDkzjS9p3jLmkz0kLC4fo+IhvrvjiPmalhXffaQVXyPeaNnTQxOOUoHcNtmY2LRfr5zhtMH/1nmTzNcqiTvOgRH9C1wZI9QYlacJXcXDGRVlAMSFXc67MK6/PRITnCjUMzqgKDepHLrQNps+L4e/dXjhG2c4HnPGpMGm7r0Mef30otTw3Qsmaz/rKslPALjcQ2lto5+GGUOhD5FXu2q5utLUpSpalgfI46eYbGDttJjppsFrFPDTp1XiwyeMRFmKERJ5QyFXtdW155Rx4rx66fHOz3rLgSZcdkKFrTMMcGlEc86/C+DLAG7knP8WQDuAOxBX1OhSOBmz1BikHZNJsmLyIL9qjhiWlyHveNKBnGRmvpY69Y8vnpoxeS7ZINbtwmmbdBWM3ECVjAIA//nS3KT36HOq8EgnET188fPQsNWZkyyvtOH9MdQb/NBUpUZGKuFZN5n/U4a5o3OcMUntgW9uj6TMyS7Ky1Hwc5090RTzJpabxoS8QEwaWpLEqTfGajhkJSQatkgkxpMiTl0Bv0LvIcYED47OczhL4gqbdA7pdhtzyzvEKPbarf+7eo/VnhDDgUYrkU6ej/71+dNQu2ihtx8g55afl5v+Y8ApMGcYN0NK8pPWDeM6opy78kBuO2iFgmXqgq7PnTY+PpYpX1j21jHhtfUXVQT6xnmTUDlIrzrgRpPZDp8+rRITJVqNCvuP6RMq5T420YPmsN1Y6sqEfy8GoXHovoa2lJMfafJoKh53r2ujDCOx3gClLbxPPNYyqLHt1YiWjVmvkI3mycPEfqtrTt2RVtx4hkXDqhrm3N8/fVqlqza5fnSc86Wc86WJ17s4549wzjPjaksDVHhd8ERDNLAumSkmLMhcPBmzJE9GOqCi383Eq/jsWjEz/dNzx+LnVxzn2+9SjBog8nweeXOH8ji/+KZXn6jepMwcVWa7CF83d6z5WuctpxA3TvH/nzXZ8rxRr1F8Y2Vx3XYpK0bZ4wIpHE2NDHrrqIf1pEr9RHJ2lWX46rw5bnV+dZGDhraIr/xLr0mKpQW5pjHxi+c2Cp+FQ8wMsxuelnCIoTA3LCYnajei3tufCvwo8AAgKYavM8he2CBm5xtziHy86v7LRlZDq/tIRijE8Pw667fnT/WWTW+HUQOLMEoyBORNhJ0smtvEQCOxnMKIlulkEWXQeyh78PZqKCdGVMA2gkdORTeUYWljmmqEZbxD0ZbaRQvxYxsvN8VGKTmTeonl+cSLYdldchqcIqjUGUOfR1GuOwqZnfxaKvdgac0Bz9+hxuOhpg5BuciuCTSZnUpy6qIgOqWxdNcdWY5V9sbrxkndkdakz5yKy0y1iYoKv+nqqG6MS4/XZ+8ma/NafxdL3i6nh/uahypfXmAXrgRE7cahpfZhx4tnus9kvsxl6Mqv+e36090l4xhhV+O5UoPRTVvoQDGe6Ygy677JkxXtE3RXW2mTLEJ1di87QeTz0QVzBCmk41aNgbZHF3VxG5zICTFtqJrehi+dnV6UhXpR3HAw7QyCnBADR7x9RlLr4eYOtHaKhSMEw92jVqmcUJNNJHti1e3XJV66MaJleKn6JSeO+llQobUjmpS4LF+/nQSWE/3KuDdRoituwKCv1Dd1eDZQ5XtMvcu0eJaRd2PH01Rtmvrl5whtckoot5v3x5Z7r0LnFpT+cFDaqLmlOMyo6N9tKgnLG3oZRplvwHpu48qLUZDnbjxtt1F1STWCVrtooadIEDUc5U2R3dwZUkR4Af18o+vzul9wuwapIhN0M2d3H3//8lbz9ZCSAseKmW7pmD3eiB5sw5mSDRfaSWQPh9NAbstSshwNbRfkhmwr8slyL3awm9gpHnjVH+m/AcV5+N6CKjzvwL0zQlS/+egJqF20UDBK3RgIdMExsoVjwm6bejDF79KkwH02WrDUCJETvsKaxU82AHUJcPQ4XSU1u4mClgveerBJqxVMzzEijaqZx48qE9vssCmM/7b1+vsXVSV9bpb9lt5nmsmbGu5uFmQvlAEA2HLHhdh4+wJP33ELxsSomK6PyxEP+n0KN2PEKdtcPp/sFbWDFwN9X0Nbkoa3XBxEHDdS2xwMD+P4aNTe2+wmeZqq5iQleRJQLqnB+1y/V89LVv00g3itTmpHMmeTrgMq7XsA+Pnlx+Hpr5xue14ZhblhwbNNdbq31zcLGwi7wh0UZ0wc7Mg5dVtJrythKt+EmOu11C451E/9dbvoQ6q1HgSd6LB6HqbQva9bu9zyu1WbM8rTd7sZ6V+Uq+WaG/jPqj22n5u/6eqoboxxg/U7bXFxFZOpZI8K7SQzR5Xh6jmjcPOF1gJ/tkdRcL9AdT7DjNlylcbZhItkuB20fkr/feGs8UmSVk5YXXfUfO1GnYQOIlW0l8raxLVZ1UbvhdP1VR2p52nxmzuFxKvfkd1uWEEtAeKLsMzlsr7jwpMrTRSUZ0Z1VU8YNSDJQwTEi3DQn0lnAs8Ni/ew1cVmkxotQ0pET3lHJGZueuT5kP5J75Ougpb29z1eb0445Hqh9Ap5XtK1TbfIJHmifb7+WEwsme0Uabj9w9O1nz3z1XlJm2iZ6lCcJ0cIrdfynF2cr38mI/oXWAV5OE/qSwbnODfsrvDRtOEW3e9PK7Y7Hg9YDp7VCerP3AmDkiX8Ev8fWJxnOUyYSLmZN0FvfAHAwUZxw38BCb3rjKarTxyN6R7UKADgwuOGCf1tg7Q5oPsrt0noV584yjGi8MQX5wo0BNXj+oiHpEA/8HZtPJKRE2Kur1Xn0AD0xVZkGDx7GcYGZmx5MZZ+6yxsueNC5XG6ud5Rxk1wYDg7tnTv6zag9PxfPnuCth1O1XX/s8q9fK8BnWSsW4O8xxvRdpO67DWhC4xccOADYqyt3nUUP79iBm48czy233kRahcttPV4ZxI04cMpySJXGswfOUE/scid3EspYCe44S7r8IlTxgh/HyJFSuw2EAZU8zH1+i7fbNFy5MQKek9Wbrd0MWXQQj1zKgfgG0QFALC8P3KJcQNv1x4xJ2EZh5v1lfoMyJPxARJmpItNYV44ScYIiBtkXnWKdWhuj3oOxwocZunL+blhxBJWtNwuN3QO+TsqtY+uKq3uBiEm3gOvHpwk76zPsfFZYwbgkyTBRld1rua2Bbjrihm2CdpTR5QmbaLlEHKy9Kj1ubzQ2xlfe461meeOKMp+G+oqqpLgKtB1xo5WR9VK+pt0jng7X9tyKEmVwPhtZv4n/r83tll63E50E9m3QLm31IhON0ldTgSVKUZUttPtxnyUy6jIjy62eNs+Kr0KcOoGKlnYmn2NrpMf7QzAuiPu5qSvz5+kfH/Zt8/CJTNHmCorurGhe1+WSfzs6WOFv3VOF69GtC736kiLte59+4LJWoqKE03oLZt1Wwd5M2jgwzb2E0WPN6Lt+r2YfCROyHLig45z6FRel0J1iJ2Gp1fYTd61ixYmLQZ21A958yEXI3CC3bnXE1mlkR6pArLR49UoUC2IOq5XiIlFR2jo007ihy5M505JDrMbv0fP/56LDQAA/GbpZsdj5OuhnEg6SRbmhXHxzGSPuly9Mx3Da/3eBlffp5Jw9PAQEz2M/QtzTRm7JE80+bs9Ynm87fjmxvjz27g8U6N8AgCXuZx845CfhXpKdlslzI/rpDx6zpPl4QxQo6AgN+yocOQGdIEuzA0LG6R8j0oNJp1D8qYD1hiOcXcGHx3znyHJzjJUm2OqarQ5iYdKXhvtDnl7pnKSPG0rNU50CkluEQ4xgUdrt4lxm0DmNjn0xMoB+NhJo7D8u2crP5fvgU520L4t9p979dzLkKtxUrgt804VOaiSU15OCPd+7ARHr75M7zForbJ0oVxUSefAsKuYqoJOU5tGcGV8h0ggOnmi/YRb26XHG9F2HB/GiJ4qRINJDsFsJRJGqvCMrlNMGV5qkvtVHcrJs+g2FAQ475TlJp46Xh8GpDrZdnJEugzWv1x3EmaNLsOyb5+V9BnlGskV/XTY8NMFePZr85K4dHY8MhW8ZP8y6MNUdqB97m3FztdcDFmyhFcmcO2plvd+bLnl2SnMDSeFx4F4pEXngQe88VoBd/ecHkM1icNJdAZrMdOVugbEojQynYMmGxuf+ck5BKx7pDrtwuP0VCAZISaeQxdY0/UjJ51l6zj7dlDO9V4iZRbjogFKF7GvzRerGfoB2v7zpg4VkrG8zJUASSyMcUE+DhDHsJvEQjom1u85Jnz2xbPcJ+YmP5+EJ5pEJOQjVM2jz3OA5KihEcmXiIJDOhKlQHLb/ZAEdTtf54RDuPMjM7Sea/l9uQ5EKliYKIP9vy/HueO0OA8tOOUWfmhe0+ImNFqhgooPL0fnjSPqJGUqmcdvGNkhZvW9vJyQNgqpo5Wlos5BI9tORjQtXZ4u3KbO9Egjmoaz59rwxagRs/Nwi+SxEh8m3bGrQgbtneoJqIN4xFSSKCMU6gjUK+dlYXAi38vXZKcjSUNQ/WxkpG4g2opyW5744lyMLS/GJ08dozwGAC63qUZFUZgXVnKTBnmceOigVtFKKMccTFyw6KRjV4DhouOsCfS1rcmqLWaIVjKQaDKrV0PVDnRyHllmjY2Txg7UVnWjkZd0FsczJg3GC+v3Ox5HuybdsDLGhOIe1FhMMjfIZ3RzRY2gnYdbBE3fnAwZ0WZikTTmln7rTMz3UEkv3kecN3L6sKn4t86zpys4ZOC5depnWJAbFu47nRsbfCrtTEF/60hLB1bWWptUr5rBQsRDuk95QsKy87lo/ymVuNlLN7iXGvvYSaOFvy0PoGXmy/O4io9PJUrlnqErgOM12ijj0ZW7hL/lzQdNvrRDuvrGKsjjW/Yi0srAOpwlybL99uOzULtooVnhk0YZDI+vTDGyKwmfDs3RgBclmfmKKKkcgXZLjTFokLRQV4jpN/e6dnqZhn988VQAECobOtE5dEZ0XjjkuWBer+ZEX0Q8PXYPRX7IupvypbPHC5OqarfTqSHE08Xtw4oqOGcpEhLpd7wsDLLQuAz5+tyee4ZNmGoTCTPJC4CBn146PYnDZJTVTJdL7tX2oZOCKqRHQ+0hxkyNaECUafrM3Ertb9CQFE3isc5rnZ96wCifVKejqYPcdR//wqnC32Y0hFxyeb98c0GWf4/SRuQFyI08lVHIhZZStQPls9PiFnYKOnJ/pn/qONEA8AEpOWwcl0o1SrmtFEa75cVivCLRmfJ8b7tU1OSNU36oEa1ux1vb1Fw/+R7pkm/dJHyqkJ8TEu4vpcHZhWDTgTEX0/wFQD0v25V5p/eVMSZwWumGWVWOWwbtP3KfkKXCZNBCXZM1idV0M8UgSmyqNlB28yLdVH/1HH2SlhtQJ5BMeZTzV9wqP5ykqcqZDmSuuTyHuTGIvGwKDUcD1UwGkuciyk+3o+XYSTmmCpWDUZ7rvVa/ZYxhXyJSJSfmU7xd626+ssOn545F7aKFwj11KhVOxzzNAeiIxnD9vLGufxsA9tsodFH0SCOahlXkh0K9mSHGTKNiwpB+2pBm5aBiTCXfU03WOvF4p04RVdSTpyGVVKsdqdui/4xOhnIo6ppTxii/e27VECx+a6f5tx1PWMaDnzoRtYsWpmy8GHCjNkAlfR5dabVXzY+2jDEGcQGkEwodgPJEST1DhubwJ06JbzAe+exJ5kD+7+o92j6nmlAvn1WBOy6z1A1oCWjZwWhUMPuOVDI3rJhEahctxJ8/c5K6IUhe/H6wcIr2WAPUePYaQqMZ5iI/WqR20HtXVpQryRNSY1vf919OtFNePB674RShlLIuO12nJmPx3oHzHTzPRWQ+kY1ZBonOofFE68oty15LHedQBTfe+fzcENYS+kJXcBJ1c6pqU9zfRtZTlscTPOrkOp54zzmjP89G1stpivregsmYOKQf3r1lvjaXhJHzMMZQ5VCVlG6W5OprdA443OLe+3zrh6YmvXeKpoJqSX5OUqKd22jPJTNHoCQ/B498Vj8neYWs3CKvqx/VFPui8FJsK8dMHhf7pEzfpOPR7vbQyKdbCqQTDKUmWnlPXo+9auaHGLC67pj5Wkd5iGk285/TRLblKrUUAvXQYbDRMZ8vzRc6J6AO+2wqdAq/6ems3QStxHNgV6yg7mir+XluOKTdCU4cWiIY0SoP7jBNUt8nT600X58xKXnnp6psRjueF0+0Tk/Tmnz13x1OwlvyRF7eLz+p+AwAnDl5sLDou/U6+glqLOmoLzqJmqMtyZ6FMKH4yPeLhtvyiKHcKnmq6OAsTFSruu3S6Xjr++di3sTBUgKc2qihwv1bf3YRblk4Bb+6aqbgRZLDxhSD+uVj3U8uSOJj0j7utuBBiDFh0Xltiz3XToZXqoROnYNBLH1MX5cV5iYlJFqvRY+IsaEBrEVMDmOeMm4QPnVaJX778VkAgCe/eJqyrd84T837fSvBRwwxhhNtKlACYnTkZ8/UCJ8xqe0NGoH/KzVJe/Kt91IC2s2iMra8WOirXVGGWdedVL9tR3FjwmurN4VDLGnz4QRqfMjriCrvQGgHY3jhm2diUL98gZ720rfOVLaYMaB63T7YgXJYZS9smPT1Zz6wPw/FdaePxc8uOw5rfny++R5NphPKILPkQmFuvYw5oRA++MkFmDfRWzTOC+TcGjeFyLxsEI3+INOOH3tbpLzQ/CC7PkfnUFk5LFX0L8pF7aKF+Ob5lqKHTNVz46SikCP7umeuo7TpbJgiG7lKnfNEfaz1Wp4vSgpy8ZuPHo/XbzoHgF5734CbwmFADzWiadIAk66AXviSNXuFEJnugeeFQwKdQ+Xx0A0ASrGYMCTuEaCUAVUYlXqivSUWim0wykc/nPAy2k1idh2mrDBXKV3lZBx0Beg16SSa6KJ2wbShpiKDqshBiDEzLCknG+UI+pfW+/VNoneBcvoMjjVjzFRPcTP0hOS6EMP188aZ7TOgklSiKM7PSeoT9G9doQUAmEMUFxgTJ9On17gTmQfiGeKeK75pKBsRSUVBNpTp8xImfxJdmDaiVLkw6IqELJwxHLWLFgrGDeV26rjrRp8IM4brTh+LS48fgTduPkd5rF3hnt1HW4XrXLJmr/I4uesbmvDpJK4aiYHn2lUFDIWkvIHMLxn0mq452TL0VUb0JhsqhVhlDYKEHHUIuElepopDshH9E5dls2XQGgc0f8LrE5W7ADXqCzzmXnz85NHCmkSNnodfrzVfN7ZFkowM428nVQO3xolXUCNfdiAM6peP2kUL8dCn5mi/f7JLmklhbtg0ep2S0YWNhw3oedYQuV3A0l5XFaZygzybJFqvm0lKfZLzOSh0jpXXNQ4aulGXsYvI/9GuM1XhPHt5ozWumxQ2zaXHjzSLizkpp7kVGuiRRjTlRMuPKle6cONZdkRjWg9HXk5IWBzcevCA5J3ctp9dhLuvmmn+HVMk+qTKiZbx2A2nYM2PzzfltuwGxDhS/lWuQigPrPd+eB5uu3Sa1sPblaD3V65mpjpmzKBi27DZk+9boVv5dtHQp929pN5iFefbuJ/U06dK8lCB9penSMUkp6peKtiVaL5U4obTPuAli/+NbYc8G3L0t3YdbhF4g7WkFKswcpj4vEQ6ByP0CrWX0cvCfU6V9ax0usjm5+0RhEMMv/noCRjeX208jFNUEKPhZV1uz7WEc5q0MUj8Kfd13cLwdYWSRrlhWHz6RE0L4uenVJLXFYm0foPSquj1qOZKu4RJIUmVMfNZhhjD8yQZ1k56zMArxOiWN2QD05COM7jPVD3K63iSDRa6vniVBQTENVQOiVPISaxGBMtJks/p81Q50zQxUOeAsPM2z3SZ+De4JN/sA057SrfVQTuilnH6Jsl/+MJZ4/GJU8agdtFC3HCGexUYCmrb0LyfseXFrhUoKAz6GmNMG/3WGdGp7PnpekTnfRUV9r2dlnPKKQ/Eqfqq2whr1oxoFsfvGWNbGGPrGGPnuf2u7KGikAeocdO3HGjSGkZjBhWJRnSue4MlHE7+Pfo7Kk4lfTjpqDSEQkwIZ9o98ylEOcTwot11+Qx8IUEHoJzpgcV5uDZBU5lZoU867ArIkQYVhCqEDLDz5VBeN2NM0NpcRuSgaL/6+Mli2JsaNCpOZsg06Oh7+vZT/E0jRi8XoXADu42AHRf5QzOcQ58UXkOC9PgXN+wXfvvx9+rM1zQ5RQ4dit5s4sVj6kXaC+WEjoUym42IW6gk7+hi8Nc31M+cRsTkja5FSRLfNziZsuEuR13sQGUtGWPCHOaWJ+gXdpBNlSpCaGfkaZNUpVvhpv/eRKrXdkrlgun3qbyiDkYSMG0j9ep5NTTsxvkXzvRueNG+ZmdoDC5RUxydxpqTB1DFzXYD+owLNRQbu6jZHpc5PzsPt5hRPidDzE49jOJvb1q5PNSTP1ZRLMsr6CXT6OT2+maz7zo5eahKl0E3sVPncOvFdQO7yKUM2vdUhbaE8zr0U11SuYxseqIXABgJYBKASwD8gTE3JpM4ach0CNnjZJfFbyBXonOk44mWoToXDU/IGegqXHr8CFcPlF7rjYlO/+An5+D0CeXKENtVJ47C9xbEF4dzpqhDuiqudFfCzQK3VDJ+3dpLDOKCJYS9yPslkgKAE33B+NSNMowMnRdYzoRPF6KXTpxQVLKMtudyGLVySJN6byhH3Q6Hmtq1nmiaJc40z5/K6jlhDqEx+VEsiW50jRCk0UadDjsgXqM8DqjMlArbpOv14omX5R3pHEDL1dMIghPsEocMfCtR+ZPO6f9dbUVjVF5nO9kwem/aiBSpfCfczBfU6yWreVB+8owKfXvssPdYmyVxl9IZ1KjzkAyugp2hoaMibktoe998oZp+QOX5VJg2ohQfmjEcz35tnstWxkGHiC5h387AP1ezBirPkxhP8logb6Ls6Jo6iiWVUPWjM4gUPzlS727jRu8bVZ/S3U4/WV+0yBxdK44p1FRojpqTJLCT+oZd0jJFNi2kQQD+yjmPAdjKGGtKvJeUvcYYuwHADQBw/fXXY9yU47CgIj6Rbdm8yXwNAJXFTShO/H3quEFYXXfMnPQmFhwDEp/V1NSY36upqcGxlk7z70n5x1BTIyYAARB+x0Bp+wHU1CTzfIxj5w+PIHpY/t4xjHMhn2y04QvHFwIoRH19vdAGuY3Rw43m5ycNbENNTQ0qQsAtp/cXrlf13asnhtFxKIQPHz9S+GxmSTNKFdftdH9Un3s9DgAi0RgWVEQxoZQr77+MwZF6nDGkA039rWcr/6aBIaUtKMgJm9d3xpAO4Fj8dejYHvM7xxU3J7WZ9h0ZZw7tREtHFCPYYfO4iflW35NBzzG7fwsGSsdNKOUYGjtk+5sUuuPoNeQ27jX/Xr9hA+aUtQJl8c/6dxzQ3mvV/RwVOoIFFVGEQ0xZ+XNi3jHh+P7tB82/L5sYwvLNbRifl/x74jOPoqhlv/n3qJB1b0eHj2D+iEg8iZAfwtBYvM/khBjGDe6n5M3a9d+je2rN1xs3bkz6nCI/J+Q4FgZGrOsdM6g9Pi5Z/J4N6teKCZprHxC1nnlZx0HhnOX92jAuN4pR/ZpR5mJcnDSg1bb/0HMXROqFY3MaGsy/qwqtOebUcbmu58kTK/sr+05NTQ3uu2gonl6zB6cP7kBNTQ3GlsSwQDE/lrQdSPrueSOiyGmMvze4JF8IV/Mju83jD+/ebp4zJxxDhKgmyfdWhXCDNR807d+BSyq5mbS6b+dWqy8mxoLRPiecMrANkwvix5cWdGBIHkdpQQcaSpLnSLsxaXw2pCRf+HtwpF75PbdzSOxInfZ3G/bV2rZpUOSY8vMtmzcmbZzPH1cEoAVDSwuwceNGfHlWEXBsD2qOJedn0HN+bt445CXGYMsha54eID1T43obj7Vq70dbU7vrMTI4Eh+b43OPCve7vX6X0Hd3btssnFP47WN7sKBCnueAhn07zL9zGvaipkbcEHtZP+XvjCRrEgAMLG7DpIIoJhQ0JLePoDzRj0oLcjEqHO/jRXkdGFbYiHzFd3Rjqqz9AGpqrPfr6+tRU1OD75zcz5Qmla+pPRI1z5XfZK1bp43PTWrzgE7rd2cP60T/Dv294kd3K+cZA7VbNrtiCmTNiOac/814zRi7BEAYgNItyzl/AMADALB48WI+Y9pUVP8zngV7f1UVVjy6w+TRsd1t4Dy+Cz3+uGFYcbAVBxo5Th47ENs681Fd12p+r/rhrebrvcdaUf3PeEhl6KhyVFUl76KN4ynuqapScvUWtpfiK4++j/u+MAffeO5ZdzeFoLxfflIbampqUJ2QlzHaTVEb2YfqurhX9voPjUGVlBhotP/4UWXK67trWnIY7d53m1FdF9+xnVs1BEtrDuD7F1Whqio5THj01SMmn0tuG8XWZ/Zj84Emx+OA+ACqfmQ7FlRE8c7RIq3Ul4GJkwbjtfp27D3GhfOrnh0QwekTyrCiLn7OGy+pwveXxds/d/YQVNfF93M/v24mvvyMxaGU+46MFY/X4UAjx7DRg1BdFzfgwgPKzL4ng57jvvdazPttYEFFFBdPmYJvPHdQ+5sUurbRezB3zjBU1yWGW/8iVNdZiVMVlYNRXSdm3sttpecaXDEI1XVNyMsJKSXW7rr+RPzg5efNv5/ffQSxxBj90ocnYNnyY9h9NILyfvnC811QEUV1nTW2Tps9DNV18Q3r1g5g84H4Z0VD+mPZ3jaTMz92wmBU1zWgMDeMp3e2ID61qK9DdX/unT4V1Y/tSDpO1YdGlhU6zhXXLhiP6ufj9/r80vjY+8fmKKrrGlE1rAiThg4VPK7GtU8YOtgc7zOnD0V1ncX3qxpWiJp9EZxeUGL2Xzvcf/xxuPKxnfjEKaNdzm3xe3Z/VRXKK9rx9UTf+9aocaj+d5xy835DKz6lSHai53rpW2diwW+W49c3nGpG5SJvNeLFRIGS+6uqUFUFfOgM6/v3vLhJeO4GLpg70uqzie+uOLjN7BMfPXE4qjdY6ggfPqvCnA/tMGP6EOHeqjC4otBs02+Pm4a3jxZi0bPxRTm/vAzVdfHo4revmoS6d5vx5bMnoKrKWfrx0Ye3wrjXFQPyMb24E2ub81F3xBpH9nOYOB+dVFmKKvK37trcziFXzx+N6jp1IZ4fjJ2I6n9Z9Ktx5cWmF/r+qir8dPmbeF3xHH9fVZVEQWntiOL1lXV45NKTUOXATTba9qsrZ2L2TMsK+ttTH5jP6OQThpr94mMnWX1+QEMbqp9MNszvr6pCZzSGa/5dh0+fVuk4RqZNGYLquqNoLSrG18n9BuLRJiOp/f4pU/DJvMEY0b8QleXFymcoz3PjyguxrT7+/M87dQSqqkRLj57D6TnK37nw9DGoXmb1h4lDCrH5QBQXlvUX+o2MkZUDUV13DKMG5iM0YCCq65oxuCQfM/P740VpvQKA2TOGKfvdtClDUFVl5WfU1NSgqqoKi2si5pojX1NTewTVf6sFAJx7yghzDrjkzHGoqhpu9f2xAzFw5FhUPxV/vl++bAbueH2FeR679dAAY5ac7K8nTXbFSshqrJ4xVgTgLgDnA/gw15XbkiBTDE4eO9AM6dMzhEiYOsSYGRI15Ope/vZZZjIZDXMU+KDdfPHMEa5kdT4ztxJ/fq3W/PudW+Zj/t2v4Jmvne75N/cIfF/9cXYVBmXQEOqDn5qDDXsblZUZAeBb50/Glfe/gW8TSR0Vth5UG2gq0DC2m+7BGBPKFqtQVpRryt/R+0T7wC+f34Qtd1yIIy2drsM6ZjvNttB2ufuuLoGQVul0wsQh/bRFNwwsemaD+VoO2aZaGU4O7W2540K0R2JJ45U2LRSyeOry908YVWZuQgAxLGlswoC4zi8tumGE6bwW6jHgJU/BiVcHSNVBE/eCeuIof/nb50/CL5/flDjGOof8M8xlGJZCLojkFroS2U58UCCuQLHp9guF9+ZOKDeNaC9Q0TmojOVgqSKZW+UBNzxvWtE2xMSkXRqyb2jrxNNf8UZDMGA0Nw3BlaT+6JbX6fZ8FDJFaEhpvmlEA2KBJQrVcynMC2PNjy/w1Db5958ket+DS+JJs0eaO4Sy6INs6Fm54ZDrMWJI3L2ikH29++qZWHDPcvw5kbB72nhnXnR5vzwzV6m8n3Ufj3jQ+XYD+XlS+8gOD63YDiAuGcrIfK+nc6g/mDdJLWs4SdI6p9DlwMlUuMEl+YK94GQHqJAXDpmUym5V9psxdh1jbIX071IArwJoAnA853x9quf/5ZUzle/TZCRartKQnKosL8asRGY2HVxe9CLTmfCAZI3R8n75WHXr+RiiSdqww7/etbwCb21XVwwCIFTpc4RgCDKtAQ3EJfGe+eo8fOls+ypZVP3ACXTQUGNEV/HPzePQHSMP/JxwKGlhdgMjpPwBiRq4XdB1RnRBbhi/v2YWln/3bMdzvPDNM7Hs22fZHnMJ4e7J1y0Xl3GCYVjJ/SonHFJy6ikXUOaN2+lk29mr1Lgzimc0S9zVGQ5JshcdN8zzte883KJ8fz7hV9L5xLgfdPHS9XGBE52UWGj8308GbRxy/oRuEUtVqsyNGoYKSnUOklgoKyHRtn71XFGdhN42XWInBc2LYExM06Qa3nUeCnbIMM6qSwJ9IqFl/s8bT1V+DiQrTIxwkJtzgh2HWO6Tb0pVNe0kNtOBwXeW51RaPdbgww6QjGbaJ3SFb9zA7tqqhpWidtFCnO2hCiGtankVUe65fckG1eEpQ36exj1c8oFaWlNGNMatDbxNxULd3KDLtym32dwIeW2k/cY8Zczrv7hihmD47jjkPg/GAHWguE2Y7xIjmnP+J8756fQfgIkAlnHOb+Kcq1cilygrysUXzxqvTESgu3u7BUdXzUoFWqHMS9a7AVrD3YtOtBMomf9Qk34H+38vbdZ+JuMEl7I/BqaOKHU0GCcN1SdTyaCGBO3gyzaqC7+4MSrkcsAG6MQoT5JG3zKM0+13XoTtd15k+zvv7DhiGmXvaMqgyrBL5LzwuOEY5VIyyQnUOyJLGbqZ/H99dXzjev8nZgn3/AtnJdN8ZDS3E57aPotGEmLAt0gUQ/Y82o01N8/9xoRElG7M/e6a2Vj+XbXWs1fQbPfSQuuZGjJcpoJLSG+k0k0YXTzmTxmiVIDxC/KtpL9Nf89rkR0DM0b2x3lTh+KxG07x9D21EW29J1eL23zAimLITfWqdy0nKc0mOus0+dTrfEk1yY026jZms0YPQO2ihbYScHKipU5b3y3os58lGZ2ynKx8XDrKU3YwcpwikkoKLQk9SCM7SNeTn112HIDkqq9ukGrf10GotOfyvo1XSGc6QVbN0F2GTt+ac5o4r/fW6uZjnW0wcoC7zZ6q+NpjN5yCZ782D0V5OUJ/pc/oRk2lRBmiuEA3MqI1OB7AJxISd8a/lFwUjDF8d0EVpgwvlbJImXlTvVSpcgpnU2+hm4nid9fMwn0fP8H8m1YV83OiCWt2bDI6FaXIdZieZjhQBboAecH2evXO8ktnW4abm7nNOKZffg5WbreSQukEIxeamTI87l0wFAniGpkuDPbElOM2tOSS0ZQ26ARx1uTBQulgWtb8itnqzIvLTqhA7aKFWDB9uNDX3OhZr9hi8VrrG0Vtbnou+fbaeqJdPPcLpw/Ddy6YjLe+f67zwWmCSq9VEDUCQzfWaO/a3Q043GxREqg3dZ2mwEdcC9t67TfkOUmnMpNq4ZVQiOGPn5yjLSmtg0rijm4qjcQkA88Q75q8AfNqXMpREbrZpUmKXtWMhAqdPjzLvBzxHKnoy1NQj+J7Ej2jn6Ra9Ll5YwFYFRQbiMZ6uUJPP10sfmun8Dedt8YPdnbUTBleimXfPsuzDODkoSUmneMjs0Y6HO0OIq3QXT+wqwOgg52mOEU52YSM6F+ASxLU1ILcsKm/bLcG6jYZXKOKP6OiDL/56PFCtUwDgioTeW20vSgvx3QE0WhoLpnH7Kr/UkwkDj63RcSyZkRzzj/BOR/OOZ9A/tlnd7jAqeOtiZnqGMYNanfncCKTy5JnTrjouOFa7V0/jWitLqoEp+Q8Cje8R6+YO6EcMyr6m+HJdEEnz1CI2Xq649zi+L2ZNqJUGHSHyH1xW2nKDgW5IRxpTo4I2FX0KuoCScFPn1YpTEaMATX71JXfcsPMsfiBOMk5Tzy0iAj1HoVCUqlm8sdJYwcK55bLnRt8Qrvqe6EQw5fOnpBUJjkT0BVeMUAXrz+9tt18TSUOxQ2FuLmwONHq+33KOG8FKyjdQY7E0XZQWSmvRnC6UM3LdLGXC1uIxr/4PdlQKXWY0+XPqbFcS8LGXs1geRwacMO1V8F4Jn+57iR86tQxSXUMvEL2XFIanbyJ+uPyeD827sd5JGLrt+cWAGolpwrduLq9f/GCI+6ONYqo/eqqmeb11B1OT0LQAG2BW43lDXv11Tp1kGkWa0i0i2LqiFJzg/DtCyYLVDiDLhePolnnG0al6HRGtI2P6NLjRypl6QQKmWZONFBDqhTTSMnFCvvL0H4fR6Q6U9l09siKhYAoWE9BtUuZ5LFx67Vx8kQPc1ggvcDPMrp04vDrtBlwdKEgN4z/fvl0k4+eCqgOaDOpcOZE2wmTPiHvcKnH0I/StDeeMV5ZZfFTp+kTO51K5vqBgcV59hsuMtGFQwzfv2gKACv8KeOxlXFFhNKCHFf97jSy0Z1TOcD0IshjdO3uBvMZNbdHhJWGGjHXzR1rvmaM+bIB0s0vMio1CZ86/eJRpifauhhaRl7HOc6VdLFpSFWF86YOU3+gwb1LLYoXNX7kNlHOr06LN1NQJRbS3BE5j0TWQjcwvH+BMO9+Zm6loxdY9rpSL2Ba94G2kbwtUyec8OfPnIjZYwagKJFjc+akwfjJpdM9F0KSQY2WeRPLXYXdDY3yrST5d5+DJm8qkHWdaYlzuzVg4+0LsPVn9lQ8FT4yKx59mz6yv1lwZ6VE00t1ryAk7JJxX25TDdOpIp8KTpuLZ782D/OnDMXpEwZj0Udm4K7LZ+CyE0aa95MWK9t1uFW4Xsrl1lYs9NxiKbGZMVsaC3VKVg0vweNfOA1zJwwS5lgDnz9zPB7/wql48Ztnmu/pivTYocca0TrQwdMZjZmTSIh4b8Y5FAlw4rWdWJm68SejzeNAsKssJJQJzoAHOdugChVFpLP/gZQx15V9NrCtvpkUNWBYOGO4+T16y/y4f7qJnFankjFluD5L2S+EQ0zLcwVEg2H2mAE4flQZVn7/3KTKjQYM72Q8edd5mpSLiBjJm/Iz2HWkxTzfuj0N2gQT6oEKMXWZbT+gGvd7NDQd3WJlbNDp59efPpZ8rk5sCTFmLhDxjaL1vgE6Pk5Nw0tcUqBP6MwRFvuunWMKcsNJyaG0EIO8AdV5rUKMCQvz5KEljs6CfvnJHrKnv3I63rllvmBEe7VZxciL9dePL5nm6TxnTx6Cx7+QHNlLl+5D++kJowfY5trI0BWO8guXHi9SKVpJVNHOVszPCafs6Tcgqx/94ooZAIC3vj8/pfPR1tB+q6sKmSqcNlVThpfiwU/NQV5OvADdVSeOSipgRcegLtqjnRvS9E3lhBmWfussrYOD0k8ry4sxe8wALL7+FK1nfPaYgcJnThEpFXqdpUU74O1LNgjqHMZzHefAl3KqdOMnT9jQGnWLBdP1HqbRZBFN1wNhwK6iWlfjy0T1Q+f9sZPdAeJJJAYnnXqtQyEm3LN0wo8Gv5iegpZP1yUOAcDAYos7OCCFUt9uQJVqgOSwGF1gDImsIaXuJnM3vE6Zu2/8nCqKQP8S+HCaydtLxMkrVBX6dM/IKcIktJn8QZPUhKqMzLoXz67dZ95nuungHNh0+4V4/htn2KroOOEsSfmGPlOq9pCbpiHiFQW5Ifz3y6fj3o+dYHoSaRNkatzlhM/PhP4uHuumz6jCvNNH9kd5v3xhQ+810dz42aphJcK1TBvRH7+/ZhbW/sSb7Jvu/EByJUo3oMWTPn7SaDy7dp/2WNlrmunuIT8yWo7dD365HYzxbaihXDlnFGoXLUxJzQmAcDGUQul3cqbOuL3Qxq4AxPyM00kpc2Fckb6vsz9SEWKgcBqnlHufig2UyrzZ64zoMmlRMxYiUe7O/hxOTsh0FTWogUZ3tN88z15fGYgnev3jhlOw5Y4Lkz6jXcYvJ5Gf6iHpgtJs9Ea0ekE0OLTnEM4sNUwofx5InZMotIWcY46UqPjvz8dlqv74yTnC+5SacoZGUzNdPLdunzZZTIaXxYjDXWTlMNE+pd5rVTvo+JANIfM16fmhEJRVE/0A5d7/6OJ4YSK3iWQyPUQ0kK3XjxC5NTlJWpVgs+eo5QmPcY68nBAmDU0vmmG3gaQSgJ3RzHoaz5s6VJh/DIPikpkjlPq2VM4sHGLCfdhL7hNjspfa2UFmlwcjeKI9TpdmVIxZJB1j43rhccPTTgyk85gbvWIZa+qO4c6PHAfGxPwFFeolLzV1Vn3sJHUUKx20ShKWXUkvejWhD92oKD2dCkQvLomy2SzkQ0u9G+zyumZE7XRqJgaofK4xdiYN7ScYqpSyQ38nFRURHZxytNyKK+iQippN97GQfMKC6WKVKDPsSRbr59apKzC5Rbq7XGoYUP7mHwktwQ4njxuk3FHSdl10nL5alpdwN2MMJ48daArHZxPUu6czXuTQk4HvXDAZr37nbEHOLa5zGX8dpxL444k2YJfYNKdyIGpuW5DEP6UL1Y5DaSk/avH+zqPajGcZTtQnGb94bqPjMVQ1IRRieHPbIbMd9J4NtNF41al4MMbwm6XuJRy9gD4rw6Az+J9eYUz2p4wbKEz8O0iUgnL040mX1nFv18ZzsFftOmq+l64msAE7bxEdgy0d3jmZXjBhSD/BMFItcPTZn0Q2qgU5IeGzR960NicynUPeoKhgt1mim3svNQYAkiCK1IqtOCk00DETiXnf9MypHICPnTQa2+/0XqiHOgFUyirp4n9Slc+iFPisqeL59XEbYptGMcor6Jija0++zX1LZYMle2eNOcaOYghYzzInJK6TtH89utI6B52f3SpjuIGTg5P28VSM6GkjvLMMep0RLU9AVE/V7eSku/lfPnuCLwLyNIt8LgmNuM0S1mFZjVUFzE5hxOtu6x83nupJOD5ToF4p3WIVX4yS7yNjTKC7xN+zjg0zkSfsiydaMu5kqBJYhcqZGVh4gLg3nk5+dhnTbjaM30pEUNwquQjeAsZMYyzEGFo6LE+8XXIndTbTo5as2ZukF+wXqhJ89XOrhmDJGnfFCXTQbbAOEvnLi46zQqzb61u0m52vnhOnOd36oalptcmAXb+jC/xAB+9VqvjUaZUoK8rFdy+YLIxz1Zik/bOJRHGo0yTpOxDlr0Ih535ud0/ofOo1UZxSmahB7RbnOMzL9JYNc0nJopDnWRrKd8IcImW6NcXNph3kez2wODP0t0zhNElJzAC9Lru1Ol+RaOsEeYqOuYzaXZ0oKFRWlGvOAZzrjVo6T9D1xauyWfJ57ccXdbykQucoL/E+p/U6I/o1okE7oCjXNEzDjLm+qToD6tsXTMbmO7xn9crIEYw15991C5rIYedNcqrc1l0hGpjqCeRvb+7wxMWj3h+RE53+0KDP04usoIErZo9yPigFvLalXjAwaAntVOBVG5d6dGk7avY14tcvWF5kebxSXdi/vF5rfcCYoHNNv/axk/y7h0NKCvDOLfPxx0/OwetbDzkev/3Oi7QJMPXN8f7AuXgP6Nik/efepZuVht4VsyvwjfMm4c2bz03K1fj+RXEJpw/N0EelVLDjv9M2netQefQzcys9/a6BAUV5WHXr+WCMoUBI2rMf2FRjvbEtop0BQ4whj2zQQsyZqWnnYfba/ynMKoWUUuJinTKSKHU67taprHMZSdRyVUM7yI4dWT/fDoLkWfo+iSTI0diJadKYvOC7C+IFWuZPSd25RNcz+sgFVR4bIzoVvrRsY1DNfjsYX6tv6jD7RIxz7Zik/YZubp2Uz5zgtEcVEohT6HS6AkJ26HVGdCMReL9l4VSy02eub6qbHV5eTkgoX+wFUU55nurQSCqgHexIi94bl0pN+e4AOrlsq1cbftvqm837qDMeihMLc1tnVEgspOMnHRvaeLz02RramgDwE5eZ93byRumgPRKTNGmTj7lu7ljBU2IHr3PVccRQlCMmlGcrj1dKXaBUgoeWb9NWHDWk5tIp8UtR3i/f9TxiZ/T94ZU4dWv9ngaxKid5GHTBG1icZxpZZ00eTCofxn9HxVddMC3e/z9L1D/c4v0fnoea2xYkva+r8KnCgmneZPZU8MJzlZ+LTgKMsWTjxGnqtdMWTyv5y1ifYM0/bnrXiu+djVW3nidEMp3QvzAXtYsW4j9fmuvpOxQtncmSnQbsCo+4nUu8QM7XqRyUGVUeFW6YNw63LJyC314zK+VzvLLJqror0jncJRa6rcJHkarggIrqGHcAxN+T1YDor3SnvConpGKD9Zyrcwl6E/JyQkIyofERTY5JFZtuvxB/uHaO84EEnzx1TOL/leZ7IhE+vTbJklg69KROTUE9+Edb1Akd+TkhrE8IrqvUFACLO/p27RFzsMuRCj880Tpb6/n1+gx3APj6/In41ZUzzdDpcRmoGinwkhV95daLp+Lvn3NXltkI1XZE3HFk396uL4Euy99RzCMGA+0LzR1RYexQw+uK2aPw3QWTsfj6k121zS1SzsKXkJsT0ipMUE78WZMGm5rjQ0sKBNUhHUYPKkLtooU4IQU99gHFeY5eI90Cv/YnF+CuK2bgZB+KsdCEQCfI/fitbVY/W0g21IwxoVBHiDHbyF0mYfxq3BOd2NC7aApjzHPRIKrx6xYy79bY/MnIzwmZydvGxpVSZuZN9D9JWvbCd6VYTE44hOvnjfNMqdDVARA80ZQTrRhjhiJQKuMr1Xwu0U6JtynGOXFCicenUsbcDZbVHHQ+KA2UFgYSd4J3pGZfA9GJZqY3sCi36xIQKH566XS8+p2zBc+QkCyVpieaJnLYTShnTs4+vzkVGMlUgGgo0Wd+26XTTS+lNtSk2GzIJaf94ETrzuFkGHx9/iRcPrsCOeEQahctxLk22uCpgpbklSu9eYWRtEXPaQdZY9XArNFlmDFSTWcAgI+SDH/5M/pMqXc7HGL44lkTfE86SndhMPjLowcWoYFk+NMQNU1apPSReKWwxOs054x0QBMfKfrl5+CqOf7QaA554LfLw+39XdZ8ceZEcW6k+t4hTTKyH/kvTjDpZLDaL5fX9guymoWfmDexHBOGlOCJL56Gf9wY33xTA9xwXFCedLqQcyYyLWvnB6hnn+rD07bT61LlHbz5/XPx4jfPTEq8dgM6b3opxd5MclWM5tUesnT8GRimEXk4+ihS4W7rYCeYkA7+86W5+OWVM1PqQ73OiKa7uMff3W1VLAwxc7HauF9dLrMrqsXJyW108u5MU5prqIuym4C/kjNdCZp0RT1L1GssF95QQVRzsI4VJrI0jGieKPmnG5CZLkLghMLcMOj6U+6TV9UtLtCE+XNCIYE7LhuIOhkoQLzXu3wqxWsHWrkvFdDF9E6iFU+5uruIUsfNCX5zHFZBoWwY0QsztJCp4CW5VqYe6CoWyvesPRJVjtUzJO+p2yqWXmB6wOOZhb6eW4YXjuj2Oy/CNg9V/QwHzqzRA5RGU//CXLx7y3z848ZTXZ+zN+KLZ483X1MqDn0yOQ7lqvNzwinXb6COuvqmdtfOAJqPElZwuTuiMaEYF+3KdiIHXuG3braBmaPKHPMLdOh1RnRY4hRaeqLAF84ar/saAOC1m87xfZJ0Ap3YqJGYCgRPqs2E7AdVIRugGuCDyS6ach/dcMyZsLiqw+JhH7xQumeQSljVD9x8YdwQ+/cXThWq0vlpiLnx4OsmVcYkOkeICVqoupAnYBnYcyf4z71UIV1N2liCOL9q11FaZV1YJOhGgWa1x6UA46/9iJgAYul0J/zmo8fjgx+f78vvOuGjJ7rXF6b0hvyckFDd1a6P37dsi/L9dJOg3IDyoDO9HfIiieYlhwjQK/z0y8/B58+Mr7uD+uX71l8BPV2vO+NDM0bgouOG4Y2bz8Ha3cfM94V8HHKL0rUJZMhLv9vnQaMyKtroyu2HhTFGHQCyjGs68EN61gkrv38u3v/hea6P75nWlA1mS/w/kzvImMAD7S7w04BxmwU7UlFHvieARgrO1BQi2bTPijJoPdHktS4sns5g3bS/Ken3v3PB5JTP5xduOGMcln/3bEwb0R9Xn2iF2/2cltzcN90RIcaEhT5EeKKAuPmhyiXjBxebz++1Lc6qGX4gXY3k3xLDjcqG0cRCyoVnjJlqB4xRGlJazTDhlI/x0RNHmRGsnHAoqTR4pnDJ8cmeODf45KljBC+baKQwIdHt5LEDlffRTqNXxl1XzEhJYpCqc+w45L8MHMVEH6rP6qIQMY0VvfYnF+CmC6uUn6WKcxOyfqkUxugO+N01szG8f6FQBTASVWt2+h2ckCMuuucmo6LMiqCLRaCgfL10gyW3aydy4BXbMzxGgLg60QAPVJme2Qtt0J94K3PClog+Y8w0broT6DyQShY9BVU2GGITou8K2komQHlZezQKI/98Z5f5mlZQoqALqtE/ZO+wPzrRanqIXRZ7JsEYw6gE/9mrnq1bnOoiC1/HWnpj2yF84UwrWpRUnpwcS8uzfvzkMcJxmdLXpkjXu7K/wfIwXXvKGPM1fS6VxNNGObNC9VWfVlknr+Oiy2dg6bfO8uW3vGAd8dZ5QVFejpDYJm7GIITDFx43QunM8MLlvGrOKFyXwvxtSIwxAEc0ydJ+wY/kySUaR9TkLpSX++01s7Die2dr6XJeiollE7R//t9L1qaa9kW/5+kdUnGYtk531MI5lZZz0lgb++XnSJQpst4Rz7VLO90V3EjQZYJ2ZYdeZ0TnSpQG44GHQwxfnz/RfN1dwHwcMDrdSQNe9WK7G2j4rkmTxEaNVV0VJrqYNGrP44M6B2kLNeizpQRAIRaCSe9cxQ5V5WRQWo4MOSlQR88RQ4rWOOqXn+OJmpAqPnpieolzNEGG9hO6sIZD4rWrqtv5NZd95ITU+IDdFZOGlmj7YogxzCF6xyEG7DycXB3Ua/XBdMAY88VT3NX406fnoDgv7Grz7BcKcsPapNbaRQvxUhY2e6lgynBr47GHOHHoa7+N6FQ1zaksrjHnDCjO1c7Pk8imys8E3eO6YY2L3mdEk05XVpQrVCw0+Ia01Ha2cYx4HzjS27KJpZCTO+49Vx+PtT+5IK3fyCaowkJhnmaBDDEMV2jmCseQW/OfVXscj0kV9Bx/fq02/RP6CKp6kK5Rf8dlx5mv50101q21Wxhk5RRVEigg9XXEOXkAcN3pYzMiCSjj7MlDUJwXxqMuZQBlfPgEi6ZANwTU8MuRjGiTP0s80X4pEhgcb6ex09VIlZc8c1R/gc7x0Irt5uv6pnZJScC6h7QCoBc6R7pgAAYllBjOnuy/HFymcE7VUKz76YIeoYzR3XAKkajT3b7KQekpJ8mgXnovlEVazMqYe6lOtAxaiMnPHKyu4ER7Ra8zomkY4RvnTbJCoCGGmr1xviydULMNWjGoI03VBqdQR0445Cm5pLuhON9aUAs1MoU5IWZbLhqAcsaS5YLSWRSMiU/Hd+8OFSOpTm6669+GfRa378o5o3Bi5QA8/ZXTUzoXNY4b2yKiEU2MfcFLK3H0irqgj4dCDOt+uiBlD1xUw2nZetCinImbYpE/ayUWpvTzSRg1sAg/vngqnvyi+0IcXYHjXVTXu2pOshd9ZFmhsFmjnua9x9qUeRGAmLCs8k5nCqJOdGYMBbf8VzvIRTUCpA6afEeTYmlycSoydm4xxoOBPoJQQEUj2uqrf37NsqtoF5ZVc9KB49qeBfQ6I5ouPIW5YeKJZvjvarXXMZugcl/pTp7dsYP5CboBoJxYughec/IYR4kz1WbWjkPuFUbITI4s/DCReKRLiuxKUD3idFUI1pMEmYLcMP71+dOSSlDLmD1mAG48U6y4df7UocLk20oqSgLAs2stPqbsiTYQYixt5YyuAN3I/3e1Vc2SJgdTD46OE+2nwfXpuWOVlQ+zCTftueuKmUkcSMYYWqi2rY0Hq0VQ97He39OFKjpCxcJu7NVtc1lQKYAzaDTkloVTzNe5mqqlfoDOKTQ52wkTh/ZDxYBCLL7+ZIlmFv9/5aAiIVGSduFKH1VUUinLnWlkvUWMsVzG2BrGWKUf55MpDX4n4PiNQURMPd1QRXcLxfoNSuegodovnz3BfE2Nty+drZY0VN1lP40RYzL546tixOO6uZV474fn+TqppAoqmQZYGxSa5OYWqfTbx79wGm6+cErS+zLvmZ55F9Fm1lGXQqxruayp4hgpsELygTGu3OLF0sqqz6zdSwobwOzE2Sy20hXwWqhh/hSLjkH59XIXNaqaAsDTq0n1TnIgfRYZB/NfcUWGF8UBHfyWXOvLoPMWnY/zhNwmfzrDf788F5+bN1YYEyPK3NsL+TlhrPjeOZg7ody0pWKcm+NlTuXAJPqZAT850V5kF7sK3SG2fwuACY5HuYSccER1oovzwmjOYNWmVCCW00yvg3RnD4YfoKEtOmCpQUJv4V6NgofK8MjErTvULC44jLGMhue8QK4cturW8/DQiu24ft44zTf02Fbvj+wQlW4D4lrdxt9nTBqMoSRaQMeNyJtm3WKT4gTqbaI0pcnDLMONyujtO9YuFI4y0J2SpDMBrwvw/Z+YbRYzoqXZBxXno77JygOg/YfOJX8nRSUG2CTA+o2V2w+b+QTd+ZH++urjceX9bwgc2QCpgRrO1F2QCeWkGRVlmFFRJrxHi7N5oXYYNRRkOkdOmJnVaEVN/6z7ajOKrBrRjLEZAKYDWOlw3A0AbgCA66+/HrNnz9YeyznHgor44rNz2xaMz2vCgoooWMMe/PXyCvxx+TZce8oY1NTUaM/RFTDauH/XNvP1KYPabNtVX1/v2G7jXNm+Pj/x9ytH4eDBg6ipqTGvb/OmjebrnKa95uum/TvN1y0HdqKmJnm3PbOkGeUV8mbqiHD+dO6fcY6KARx1R6zfSfWcbp67V7R1RpOu9cyh8fvqFbNKWzCl0P6+LajQ3wfjs8LW/di2hZl/HzcwhGOtbZhUEMXk0mbMrMhF4/74Z0f2bjePy2/aZ76OHqlD3fYIFlREceq4Qd12HFw1IYTB0XibR4eOmO0vaTuABRVRTCjlaDlg9eUFo2NYGWvDxPwohkTrEY51YEFFFGUdB1BT070cA+lC7u8LKqIYXJLv+Vkebu4w798ZE3Pxaq51n6JHdpufjc45IvRPA9OLmzI+n9LfrSxqQk4uB8tv8PX3/LyGEgD/uHo0SgpyfG1jJua4noAFFVFMLgPa63eZz2nvjq0Z7Xd0fTRenzw21/VvdRxqxoKKKPrlt6OsIz5fjQodwVdmF+GDumMAgPo6a34+sme79nrcPvePjIs7FbpjH8maEc0YywFwD4BrASy2O5Zz/gCABwBg8eLFvKrKXry9+i/bAAATJpbi3SNRvFHXguq6FnzjiumYPXO6D61PH9UPbwUA3FI5HtX/iHs/vn3VBNtynjU1NXC89sR573c4rqfBuHbz+qZMMZ/zvMJSLK+Le5lOnzMQ1XUW9111Hz545QhWJo6fMrwUGxKh3furqrD3xXqsrjuW1v0z2vjIBcfj2oes/WGq53Tz3L2ioa0T1YtrAaTfV979714zCUt3LuOeqI4ZuSVmcoRnHTcI1XX7AAA3njEEj75UCyCM6roWPHnS8eaz/cYV41H9eJxLfNZJw1FdF0/Qra5rxlc/UtXt+3//4a343tKXMH/KULQU9Ud1XbwPzp0zAtV1h7GgIor5I8ei+qn49X7pw5Pxu1WrsGl/FJXjB+P+VVsBhDFj+lBUVfkWyOsWkPt7qs/yWEsnqv8V141vyGd4vS7u8Z83sRwF5aNQXbcfAHDGiWNR/eYHSd//yNmjUf3cwbTa4IS2Nxrw8sb4b5xdXIL85maEwv19He89YU3IxBzXE3Bj0VDEjuxGU+FQc977xaRJqP57LYDMPDOjP3z+0rG4onQErv/rO/jpJ+dgCPFM2+HwlnpU1+3D4JI8vHusE9vrw6iua8ZfrjsJv3gzvt7NjZShuq4OAHBT5QRU/7tOeT1un/vPxk9Ea0fUF0qS38imn/3bAP7BOd/teGSKCIWYUICkO4KGY3tqEZRsY0iJNfj3awqsUNBo6UXThwmf/efLp/sm1F57qOuy+73CzxyBVHjUFA+/Xmu+phxYuYky91l3XE/A8P6FeOPmc/CHa2cLiZCU6z+C5DhQqsvOwxZ9prdzotNBPxIul2kvA0kuykljB2D6yFLI6Iqy0qWk8qPfsoUBuj9OGD0Axfk5wnyWqUJYMsaWF2P+1KGoXbTQtQENWGPpYGM7ttfTucg6hhMlGD8oZwW54W5pQANdZEQzxq5jjK2g/wD8AMA3GWM1AE4CsJQxNtHP3w0xdH8jmkyYhT1AVaA74rypVjKRG6NC0CLOIAHxjiXrM3budOEnl5ZKMqUCKvd2OtGZlh9lM1GuYAInumcaHcP7FyIcYjhMNLupcgs1AkPM4hs+88E+8/3/W7q5C1raMyFutMSkJxrxo59RxRhdQQ8/IfP5jfYF6FuQOdGPfu4U3H3VzIz+ZqrSc7q1o5XkcHTVGtsd0CV0Ds75nwD8Sfc5Y+xlAJ/mnNf6+bthxtAR9bHmZAZwoLEdT3/ldLy/62i2m9JjQY04NwtQV61R3aEyoQ5+3gM/50haQVK+f8tqDih/c9O+Rv8akAXkaBIFhSTLEMOWA02Q0d0SpbsTqHGcRxIUI7FYUlEfA9Qz3BWSocZvnz6h3OzT3XfWCJAp0Pk4xJDRCpA3XViF37+81flADXRG9KJnLb4yTVTs5TZ09iXuMoni/Bx0dHNdy3CIYfrI/mmHxPsK3vvheXj7B/OF9/LCaimrYo1nny6ad7+wCQAyUnLXrrx1tuFnxvQ5U4Y6HuO25DyNHMmG/odPGKn8zoPdqHhSKqBZ84eIgoRo6InfMbxIN1/Y93ikqeDGMy25y9e2HBJVkRiDEX0WqmIm/vCiXOAVxs8V59OaBhn7uQDdFP9ZZbFaMx1Z+/yZ47H6R+en/H1qRH/xLGtcVZEy5rTsd4gxjCwrxDUnj075N7szuoURzTk/y28vNBDXYO7o5nSOYR64SAHiMneDpcIolAYzmUgvRTUVuhraqEZv/JjWTv83W188u/smfPlJ5yhP8Eu/f5HeoHO7MNDCL/I3aMRhYw/3PlOcNsHyOkVi1nxF5d3kkOi5CT3kUh+rgfVmFOeJQVfaHWklPxr9CIUYnvrS3IxWcdyciC4wWCXueyo9KUDqOH1i9gtwuQVdO35HPNo0N0mkKQGv3XQO7rjsuC5pX1ejO+hEZwz5OWHH6nXZRrAIpg9aGrhqmJUgpCutvCYhw0PhQ0XcJAzu1z0TIfxGfk7YMRnz0pkj8L/VezBf4bUeNbDQHKdCXoBkS/RWDx31OIuJlWrKAQA88V7cc9Xdcz66C+TAC72fR1o6zHLrsv3qpux4Ovhg9zHzd0OMIapoQ7pYfP3JQiXMAN0Powdmnn/vF3RRTKp3r6NL9Ub0biM6t1s42m3ht2Gw+tbzkxaM3orHv3Aq/rtqj1S9zvo8ojGiVdjtY4nfn1wyDT/67zrMI96FU8YN9O38PRHzpw7F8984Q0mbaSI8aFptUJ6sxWRC6/3xg4ux9aA/BV+yAcqJLi1QT8m6eWLRszX45KmVGWhV74LMr5fvZ1tnLHFcdsCY1af9NjrmTih3PihAVtFdKyqroGtqa4e1oZcrz/Zm9GpzK7+LpGLSgd+hu/5FuSgp6Bve7dljBuInl4q63zTsPaK/s2TgTy+d5nu7PnVaJWoXLURxfg4e+tQcAMBdl2c207onYNLQEmV/NyrMAaLEmww6MQ8jz/a7C3o2LziHzFMyVclAiDGhHLCBTERQeiMMT7MBOWnTgOEZ7mowWNU5e7fJEUCFnmRnxjSTTr98dW5Sb/dEd38rMw30BE90AH/BALMk7TfOm+R4vJ3R5gfOnRLX4RydweSkng5KSbDTSKUTcyW5nyrjsifi1HGDtJvqUIgpqV9UEi+AHrLnmWkW+afX7O2iFonYdaTFUufo3TZHAAX8zFHJNCIaxbNRhJJCIz+sd0zPWvRqOkfloMyL5QfoXmAM+PcXTsNfXq/FZRo1h3kTy7F8c7zCnVFpry/ire+fKyTyZQudZFLOtZEVo8aOEJ7vOeuPFtt+dpGt8RRiYtKhgfd2Hslgq3oTxJtLNytdUVRFhw8fPwJPrdqDNXXHMGFwnOoU7it8vAAmepK3lkYOKYbR4lCkC/eka0sFvdqITlVMvCvgV1W8ACLCjKFffg6+ZKOMUUJ4p79LQy+zp2NoN1GG+b+PnYCvPPo+AHt6k5DxrZmkMylHlkk4FSSIRDmOtnQmvX+wqT1TTepl0PNeMh2NskNZkZV8bPT9XhJYCeABPemZ65KZxwy0NqN28py9Db3aiO5JIZIA/sBN+VK5OlSHZmcdoGtw8cwRKC3Mxclj7ZMvRU80lK+riMRhb8LeY+py9tNGJJerDpAMO130EGMoKcgRCv10FYQ+nXjpp4Z7gJ6BnuStLe9n5W38+OKp+PH/1uPyWRUY2t96P+BE9xJQr9aJlQOy2JIA3QmqggoBsoszJw12pJaIBof1+tVNB83XVCKuN2FoqZhweE5VXCf6c/PGqQ4PIOGE0WXazxgDRiVKfH/lnK7Vdpcr1cX/H8xJfQ096ZlPGNIP937sBKz58fk4OzEPfeq0McjPCeN7C6pQ/fV5ys1hb0WvNqIpJgzpnR6qAHFcPWeU62OpAZaJIisBMgPq3eAkQ7xmXyN+dPFUAMBXz+2+BW7Sgaza8csrZ+LaU8bgwunuKkH2ddgZKYxZhU4MY7qroPLY9aTQfgB/0NOi5pfMHIHSglyMGVSM2kULzaqrXzhrPKqGlWoTd3sjev1w/WrCs/CN+ROz3JIAmcTPr5jhmmf+v9V7MtyaAH5jSEm+pBMtVpb7zNyxqF20sNduluWFaGBxHm778HShimMAPdyu41293quiK0FiYd/Dtvqeq3OvQl8qttLrR+vX50/C+z88zxVXNkDfQyAR1v1QnBdOShA80NgueO3otJzTw7w4qYB6qnSqMwHSR5cv+Ao6R+CJDtDTESQW9iKEQgwDivtG+eUA3tHbB3hPxLqfLgAA1NTUCO+3dFjUm77k6QBE7v55U5NLpwewh5NSU0NbXPkkFAI23X4huI2ah59oaY/36ekjrRB44Inue1BVcu3JEBwevXx+7pVG9PLvno0DjYH0UwBn9PYB3ptA9UnpY7vk+BFZaE3mUHPbAmzbvEl4z0kCL4A9nMb5rsOtABKVIbuQIvPImzsAAMeN7I/mhEEdJDv3PfQr6F2mWF9aV3vllnfUwCLMHhOocQRwRt8Z6j0fuuSbcVkslpEJFOSGbY3mR97Y0YWt6VvIVhn1aIzjyfd3AwjoHH0Rwcap5yIYrgH6HE4dN8h6PX6QzZEBuhNKibeGlvruC3QOirqjfbfKpleUFelpHP+88VTc/4lZwnt/eaM2wy3S44rZFQACOkdfRE9T5whgoXfFEAIEcAG6Rk1NFKughnWA7of5U4YIvFbqqe1rNkdQjMM9XvnO2WjtEGUsT6qMF/U5SVHcZ7+mqE2mwcCQn8PQhMAT3ReRzaqZAdJDYEQH6HM40myVTx7RvxAAcEag0tGtUVKQq/U49zVPNM8W56AHon9hblJSYVO7vjJhNrmcxlPta/05QN/iEPc2BEZ0gD6HGDFCKsuL8cbN52BYIIHYrTF6YJFWw7evRUJ3Hg7oHOlg/d4G7WfdwZbpC5KNAQL0FmTViGaMXQ/gFgAtAD7LOX8jm+0J0DdwpKVD+Ht4whsdoPti9pgBWm/NsVa9Z7GnY/H1JyfRET5/5vgstab3I1tGdFxSzyi2EhjRAQL0FGTNiGaMTQXwTQDHARgGYDGAk7LVngB9B/k54Ww3IYBH2IW4DzRkh8faFZg7oTzpvWgsoHNkCkNLujYidfLYgXhr+2Hk54QRSTzXILQfIEDPQTY90QsB/J1z3gigkTF2ie5AxtgNAG4AgOuvvx6zZ8/uoiZ2L9TX1ycVoOgr8PPapxY1YmqiIF5PuJ999bnX19fjZ2cPxKubDyK/eS9qauqxoCLula2pqTFfRw7XoabmWDab6jtUz9y43gGdB1FT03sNrUz1d+P+Acnj3vws2rVj7bKxwIDOKMqj9cgJMQwq5chv2ouamtYua0N3QF+d4wDr2u+7aAhKC3J7zX2gc7UOveG5Z9OIHgcglzG2EnGpvW8C2Kc6kHP+AIAHAGDx4sW8qqqqyxrZnVBTU4Pg2tNH9cNbzdf394D72Vefe01NDebOnYxLz4qiOD8+VRnP7v6qKvP1ZWePQlXVsKy1MxNQPXPjeisqy3t1f8hUf7cb98ZnuWHWpXPCX9Z/gOq6w6iua8b/t3fnYVKU1x7Hvz8QFAURIRJwQ0TEAC6J8cYdo8YlirhgNHELWdSrkRgTNcYFua6J+3JVNK7EFVyiweXGiGuU4ArGDRJFUBEUBDSgwrl/nHekp+numZ5huujp83mefmam1vNWvT116q23qg7eaj3mzPuEr/ftQb9+61cshhVBrf6Pg6Vlb23Fz/1fXUxr2O9ZJtFtgHWBHdLPByVtZHHreQghkfRVAl1MrT3NYLuNlu3iEZaPdhV+vtxtE6ZVdH0hhOWrIkm0pGHAsLzBBtxmZguBtyR9DHQDZlUiphBC61ArbyedfOZuPPnmLAZtvFbWobRalU6iC6mxc8LQSr02cveaqMsVSaLN7Hrg+txhkrYHfitpFLAe0NHMIoEOIZSlVh5m0HHlldhjYI+sw2jVsk2i4yJsaD06tK+NG/gz+49hZk8CLwGvA2OBn2QVSwihekUHsLC8fKf3sm8xrJQHJ/stQZ8tWtzAlCGEFUWm167M7BQz62NmW8QzokMITRE5dGiMTXqsDsCQzXsWnWaL9bLrGjRw7c4ArFIjLXghtAbxxsIQQtW4+pBv0X6l+v03Vo2kIzTCTcO+zUljXuHMfQYUnWbj7p0qGFF9Uz9cwKadYM6nnzc8cQhhhZD9XRQhhNBIuw/4Ot/t173esFXaRRIdGrZWp1W44cdb0blDu2XGnbyHP2Zrkx7ZJdFrd/E3p06fE691D6FaREt0qFkr1codaSGEko7coTc/3rZXpm8zXbBoMV3bwoy5tfWilRCqWbREh5rzm902BuD8/TfNOJLQHMfv0pcuqy7bqhhCuSRlmkAD/PHwLemyWnsuO2iLTOMIITRetESHmnPkDr1Zd81V2XvTeFxYNRu+y0YM32WjrMMIYbnouUYHDt+6F107rpx1KCGERookOtScldq2YfBmxe/QDyGEEEJoSHTnCCGEEDIQT5YJobpFEh1CCCFk4PlTd2XN1drz0um7Zh1KCKEJojtHCCGEkIEO7dvywmmRQIdQraIlOoQQQgghhDJFEh1CCCGEEEKZIokOIYQQQgihTJFEhxBCCCGEUKZIokMIIYQQQihTJNEhhBBCCCGUKZLoEEIIIYQQyhRJdAghhBBCCGWqupet3HrrrQumTJnyRlPnnzRpUueBAwd+ksX8zV33008/3W3bbbed3dT5s4w9y7JnHXuUvWnzZ1nfmzt/fNej7E0R3/XKr7u581dzfW/u/NVc9jLnXb/oGDOrqg8wsZnzj8pq/uWw7szKnuV2a27ZV4DYo+wVLvcKEHt816PsFS37ChB7fNej7FVT9ubGXvepxe4c92c4f3PX3VxZxp5l2bOOPcqejfiuV37e5TF/c9Vq2bOOvVbLXs31vbnzV3PZl0vsShl51ZA00cy2zDqOLETZo+y1pFbLDVH2KHttqdVyQ5S92stejS3Ro7IOIENR9tpUq2Wv1XJDlL1W1WrZa7XcEGWvalXXEh1CCCGEEELWqrElOoQQQgghhExVVRIt6SxJMyT9Q9I6WcdTKZI6SLpf0hRJz0sakHVMlSLpp5LelvRPSVtnHU+lSFpJ0ihJb0maIKlf1jFVgqSdJI1Iv/eR9HdJUyX9RdKaGYfXovLKvp+kWek7P0XS0IzDazF55e4r6dlU7++U1D7j8FqE3FVp374qadeccTdJ6pVheC2qgbJvI+nRLONrSYXKLunRnO/5vyS9mXWcLaFQHiNpY0kvS5ou6ddZx9gUVZNES9oe2BpYF7gSGJltRBV1IPCOmfUBRgCnZRtOZUj6BvArYCCwD3BpthFV1BHAIjPbCDgRuCzbcFqepJOBm3IGnQ1cYGYbAuOBU7OIqxIKlH0j4Bdm1id97sootBZVoNxnAmenej8d+FEmgbW83YG1gb7AYOAaSRtKGgUckmlkLa9Q2dtIWgW4AmibZXAtbJmyA7vWfc+B84BLsguvRRXKY64ChuP/746oxpPHqkmige8CfzKzJcDtwPYZx1NJzwEXpN/bAk1+uHmV+T5wq5nNN7O38H86tWILYByAmY0HBkpqzQcXgBeBsTl/G/BA+v1RYOOKR1Q5+WXvAxwt6XVJV0pql1FcLS2/3J8CHdLvK1OFLwRrpK7AzWa2xMymAgvS58/APzONrOUVKntX/ATqT5lG1vKKlR1JnYChwNUZxteS8vOYeUAvMxtvZv8B7gYGZRRbk1VTEt0dmAFgZguBVnmZrxAze93M3pb0IHAbfvZWC3oDvVJ3hon42Xut+Cewd7r8tyte/7+WcUwtysweBl7O+fsgM1uUTh5OBJ7MLLgWll92YC5wLtAfWA04KoOwWlyBcl8E3CzpI2AnWmlSZWajzWwMgKTBeFLxoZk9AHyUaXAtrEjZe6XP2OJzVr8iZa97Y98xwPWpobDVKZDHXAfMzJnkPaBHJsE1QzUl0QYo5+/FWQWSFTPbA9gWuCHrWCqkDd59ZwfgYOB6SSo9S6txLd4K9yqwL34C2Sr/uZYiaVNgAvAFS1sxWj0z+42ZPWRmi/GuPDtnHVOFXIlfceoG3Ascmmk0LUjSqpKuwOv1UKuhR2Xllf2H6efwbKOqjEL7XdJKeCv0ndlG1/Jy8pjrqZ/TCfgyk6CaoZqS6A+AngCp79Tn2YZTOZKGSdoMwMxeANbINqKKmQncZ2YLU3eOj/GDay1oBww3s28Ax+NXXmZlG1JlSdoFuAc43cwONbOq+wfbVJL2z/nzi/SpBb3N7JGUUI7G74VodSR1BJ7AL+dvbmatvQvHV/LLjv9f74Pf9/AosJWkMVnF15JK7Pedgb+nk+ZWqUAe04n6V1d74nleVammJPph4EeS2uAd1FvtHbwFdCbdbCJpK+DdbMOpmP8D9kpPqugNdDSzWkkkd2Vp37ifAI/WUktVcgmwj5n9JetAMvAbSTul34fh//9qwQxJ30m/D6b19g8+CnjMzE42s8+yDqbC6pXdzN41s7XNrB+eTE4wswMyjrGlFNvvg2n93/H8POYd4A1JO6aG0X3wY35VqZqbNsxsgqRX8ATyLfzSR634I3C7pKl46+zPMo6nIszsSUl7AK8D8/Fkslb8Gdhf0jvANGC/jOOpqHQjXT/g3pwePH8zs59nF1VFHQ3ckg4uj1A7XbiOBK6T1BVPoA/POJ6Wsjmws6R9c4Z928zmZBRPJW1OlL1e2fEHJZyVSUSVUyiPaQvcgV95vdDMqq4lOt5YGEIIIYQQQpmqqTtHCCGEEEIIK4RIokMIIYQQQihTJNEhhBBCCCGUKZLoEEIIIYQQyhRJdAghhBBCCGWKJDqEEEIIIYQyRRIdwnIi6UZJVuQzKI0/tgXW+3Zax1HLe9nNlWIbUGL8lBT7MttF0g8kfSLphJaNEiT9MMUyX9KDktbNGTcyxfG+pGEF5j0hP35JL+ft/+uKrLetpFGSPpX0b0l75oz7tqSJkv4j6QlJvRpRjlfSW9EKjRtTrP5J2kTS85IWSnpYUreccSdLmiFprqQLlPPg7pxptihQ57draNl5yzhB0rS0ntskdUnDO6bvzhxJ70o6pMj84yXtlTesl6TZOeOLfT97pWm2lPRI2h+zJd0hqWeh9aXpj5Q0JG/Y5flxpOHtJb2eN6ybpLtTmd+RdHTOuK9JGifpM0mTtPQlNKW2Van90GB9krSXpH8UKWu9+lMqvrz5jpY0S9LHkk5Jw9pJukdS20LzhFA1zCw+8YnPcv4AY4AjKrSut4EBWZe5qbEBNwLHFhh+A3BaBWJcH/gE2A5YHbgUf6sY+NtR3wB6AdsAc4C+aVxv4Fdp2LF5y5wHrNKIdZ8IPAl0x9/Y9TGwBv5K3PeAH6SY/lAXU5Hl7JK2l+Fv9swff2Aat8x2TuNfBU4Auqb9cUsaPhR/6cmGqbyTgMMLzH8AcFs5y86bZmv8lb8D0nR3AjekcVemv7sAg4C5wIYFljEe2CtvWC9gdoFpJwKDCkw7C/hpWldP/AURzxUpV8e07+retzAAOA1YVCCOffEXKM3OG34NcBv+NrctgfeBHdO4R4DT0/4/FJjaiG1VcD80pj6lejcDmNiY+lMsvrz5/gt/scamwCbAdGDnNO5Y4MiW/n7HJz4t+YmW6BAqRDkt0ZIWSPpFakmaIm+p/ltqJbqvroVG0mBJr6VWuNskdWpgHV0k/Tkt/11JB6XhknRaalGcIen0uhZFSdvKW07nS7o/r1VrQhr+uKS+OeU4TtLTqRXqPvmb9ZC0m6TX0/ovB+rW0T7NN1fSTEm/bKAcJwNHACPlLaEjJJ0r6RlJF8tbcM+X9IGk6ZJ+l8rYS9JkSefJWxNflLS9pBfS31cXWN3WwJNm9pSZzQN+B2yf9sFQ4FIze9vMngHuAYak+frhiWW9t2xJWgtYYGYLS5UxGQqca2Yzzew+4CXge8C2wBQzuyPF9FtgSxVpxcXfePZpkW3ZDTgTeKjI+P54MnaRmX2EJ0ZDJLUB9gcuMLOpZvYv4Bw8USPtk/FpMb2Bf5ez7FTn6972tSMwxswmp+lG4gkzKYaTzWyOmY3H33A2pMh2aI7TgSvN7Lq0rvfwN0cukbRBgekPA8aZWV0ZNsdPhmYXmHZn/GQr3474m9o+MbOJwJ+AQZLWAfoDZ5nZPDO7Bfhe+s6W2lYF9wONq08XA4/lz1io/jQQX64DgJvM7BUzew0Yhe9PgNvx7RtC1YokOoRsdMBbvtYFJgAPAmfgidl2wDaSNgSuwl993BtYjB/MSjkBT6a6AwcD16QD22HA7njL0A74gWxvSWvgieFvgbWBBcBpklYG7gOuTcP/AozJOUgeh7ckbYS3iO2Xkse7gFOBdfBXuq6Xpj8slXcDPOE7W/5q54LM7DzgJuAX6XeAn+MJ7on466F3AbYCdkrLrzs49wM+xFsS5+FXBQ5N2/UnyumqkTyEv4K2zjeB98xsMbAx3vpaZzLQN8U4zsyOBZ7LW15v/LzlJUnzJN0rqXuRohZb/srAlznDl6RPoWQOMzsjxVLIlXjyO7NEDK/WJYNmNg1vdexZII7PU/kwsxFmNigN742/znh2Okk7qaFlm9l4M6urT38ERuSs55vAu+n3ojEsZ7vj9fcrZva5mW1tZoUS0/2BR3OmHZ32wVv5E6bhZxRYxl7Ay+AVBtgCL/dmeKvt2HSi+jzQJW3HUtuq2H4oWZ8k7YH/LyrU7ahQ/SkVX65S35/ZwJeS+hVYZwhVIZLoELLRBvi9mc0H/gqMN7Mnzewd/PJ3Z+AgYLSZTTCzOXjXgQMasezVga+Z2VNA93RgOwRvNZpuZlOBs9Oyvg88mxLCeXiC+jfgO8AcM7s2Df8D3qK4SVrHWDN70cxmAE8DawJ74i26Y8xsLnAS9Q/cqwE9zOzNNP3HZW6zh8zsMTP7Am/BPcvMppnZW8BF+CVn8CTrYjP7BHgcuNvMXjWzF/HL5Z1zF2pmc83sffC+0XjS/eucmOfnTD4vDSulI/A8ful8fbz7wagi0xZb/jPA5pJ2T1cfzsT368oNrLseSfsBnVJLYTH5MeTG8TBwrKS15X1oTykSwyL8RLAPXg+OlrRvA8v+ipnNMrPZ6QrDcXir6Clp9MPAqZJWl/fvPbRIDM3VjeInGvWkVvqtgVeas0Izm2JmX8j7XY/Bu13cincn2Qo/wVsL7/YxVlL7BrZVsf1QtD5JWj0tI/dEsq6cxepP0fjypmvo+/MyfnIbQlWKJDqE7NRdfl9C/UvxS9LPdYATlW4Qwg/wPdMBvJjzgdeAJyS9ydID4zrAuJxl3YG3PK2D91sGwMzeNbMHgB7AtJzhlv7ukQZNLxDv14F/5cwzn6WXtm/C+4TeK+ld/KC/zA1qDcjtNlEvvlSGutg+y2kRK7Zt65HUQ9IjeEv3AWZ2Zxr1KZ7Y1FmdBpJ/M/urme1lZm+kk58Tgd1SF4YFaR/MLbV8M5uFX0m4BE/818T7q34s6QotvWlsSLE4JHUGzsNb7UvJjyG3nNcCT+HJ4uPps0z5zWx4apmea2YvA/8L7NHAsvPj3Rhv1T8I76/8VBp1HF633sNPlh4sNP9yMAdvfc+Pa6ikLfIGdwWWNLLLTkmSfoy31k7Dy70Q+AKYbGbXmNkCMxuF191N0jwFt1Wx/VCqPgG/B67Kb21voP6UjC9HQ9+f2fiVrhCqUiTRIay4PgDONDOly97tgf5mVjARTDYAzjez9YD9gNMlfTMta6ecZXXBW/Rm4ok08NXTDIbjB9rcJ1Qo/V2XyOZftgVPcjbImacj3rpXF9eNZtYX785xIH6zVTly11kvPrzF9wOaICUL4/FkcTMzeyJn9BvAwJy/+wNTG1jezpK2zBm0GFhkZkvMrGPaB2uUWr6kdniS0s/MOuI3rK2G92s9tm4/mtm9JULZAO9uMy2dOB0OXC4pf543gP51XXVSd5cleIKzOl4Hu5rZ+vjJyksFynyM6j8VZDGwsIFl586/Pn4F5Boz28bMcrsAtAWGpm23Fd4KvUwMeHK2Zt6wrsBHBaYt5BH8ik1uXB2Aq/HtsNzJn8bxa2AHMzvezD5Lo6YC7fImbwMsLLWtiu2HUvUJv+p0SaojjwHfSr+Xqj9F48sb1tD3xyj/ZDqEFUYk0SGsuMYAwyR9S9JqwLn4TUSl/BK4TNKq+KXdxennnXhCvXbqn3s3sDfeqrdTzmXekfjB81mgm6RhafhJeJLyWol1j8NvyNs/pxWr7gB5EDA69cH+nKVJVlONAX4naV35DY8npDI2xQ+BSWY20sy+zBt3FzBc0vryR3gNwW+IKmU9vKx9UnnPA8YWmfYu4GRJ3SXtjfcvH4efME2W33zXBbgQuN3MPm9soczspZxkWyztYz4kb7pX8UTzeElr4v1tb02t+YOBh+SPMxsIHI8/YSPfgcA58sfRDcBvGBvbwLJz/Tf+VIlrCyz7HODCtOx98W4E9xeY7l58W24paZXU1/ZC8vo5lzASOErSKZI2TPPfjJ84PJ037UdAG6UbapsinVicAfwgbadcLwDt5Tcfd5LfiDsfT3pLbauC+4ES9cnMNs+pIzsBz6e/S9WfUvHlGgMcLmlg2p4/A0bnjO+Gt4iHUJUiiQ5hBZUOrCfhSdsHeKvQMQ3M9j94y/JsvLXqvLScUfgNjM/jfa5fwFuyZuKXeS/CW5JXA0aY2SL8kWtHp+F74q2BRVvBzW8UOhA4K82zhKU33V2O37Q4HXgReABPFpvqGrz1eCLeenYLfsBuiv7A/sp7vi5A6tZxL365/R7gePOnNpRyY5r2Gbx7Szv85KaQi9M0/wYuAw4zs4Vm9il+peB6fJu1xxPYlnIwfnPm+/jl9VPT8FvwujIFP+E60/wpJflP5zgU344z8RtSzzGzx0stW/WfztEfOCFvH7ydxp2E34z2IZ6E75e6CtVjZjfj3RdG410zxuF1Y0RjNkDqW78bsCu+vx/H+/QPzj+5St+DZ/FHtzVVV/wG4El55R6Rlj8Uf9zeTPzkbT/zm11LbauC+2F516dS8eXuVzN7Dj/5fwz/PlxpZhNyFrUpy56ghFA16p5vGUKoUukAupeZTc46lqaQdCP+bNorso4lhMaSdAzQ2czOyTqWapSuTIw3s+aciISQqWiJDiGEEMp3M7BnXX/vULaD8Ed4hlC1IokOoXWYpBXwtd8NkTQFv2EphKqSupSMxrs9hTKkGx13wZ/+EkLViu4cIYQQQgghlClaokMIIYQQQihTJNEhhBBCCCGUKZLoEEIIIYQQyhRJdAghhBBCCGWKJDqEEEIIIYQyRRIdQgghhBBCmf4fErxJVi+c4FAAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Show LIGO strain vs. time\n", + "#----------------------------------------------------------------\n", + "plt.figure()\n", + "strain.plot()\n", + "plt.ylabel('strain')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "The data are dominated by low frequency noise, and there is no way to see a signal here." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Data in the Fourier domain: ASDs" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Plotting these data in the Fourier domain gives us an idea of the frequency content of the data. A way to visualize the frequency content of the data is to plot the amplitude spectral density, ASD. The ASDs are the square root of the power spectral densities (PSDs), which are averages of the square of the fast fourier transforms (FFTs) of the data. They are an estimate of the \"strain-equivalent noise\" of the detectors versus frequency, which limit the ability of the detectors to identify GW signals." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Obtain the power spectrum density PSD / ASD\n", + "#----------------------------------------------------------------\n", + "\n", + "asd = strain.asd(fftlength=8)\n", + "\n", + "plt.clf()\n", + "asd.plot()\n", + "plt.xlim(10, 2000)\n", + "plt.ylim(1e-24, 1e-19)\n", + "plt.ylabel('ASD (strain/Hz$^{1/2})$')\n", + "plt.xlabel('Frequency (Hz)')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "You can see strong spectral lines in the data. They are all of instrumental origin. Some are engineered into the detectors (mirror suspension resonances at ~500 Hz and harmonics, calibration lines, control dither lines, etc) and some (60 Hz and harmonics) are unwanted. We'll return to these, later.\n", + "\n", + "You can't see the signal in this plot, since it is relatively weak and less than a second long, while this plot averages over 32 seconds of data. So this plot is entirely dominated by instrumental noise." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Whitening data\n", + "From the ASD above, we can see that noise fluctuations are much larger at low and high frequencies and near spectral lines. We can \"whiten\" the data, suppressing the extra noise at low frequencies and at the spectral lines, to better see the weak signals in the most sensitive band. This is done by normalizing the power at all frequencies so that excess power at any frequency is more obvious. The whitening transformation is well explained [here](https://courses.media.mit.edu/2010fall/mas622j/whiten.pdf). Below, a rough whitener is implemented, but the [GWPy whitener](https://github.com/gwpy/gwpy/blob/master/gwpy/timeseries/timeseries.py#L1657-L1752) does some additional fancy time-series operations.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Whitening implemented by-hand\n", + "#----------------------------------------------------------------\n", + "\n", + "def rough_whitener(strain_data, filter_length): \n", + " zscored = zscore(np.array(strain_data))\n", + " cov = np.cov(zscored.reshape(-1, filter_length*4096))\n", + " eigval, eigvec = np.linalg.eig(cov)\n", + " whitened = np.matmul(np.matmul(fractional_matrix_power(np.diag(eigval), -1/2), np.transpose(eigvec)), zscored.reshape(-1, filter_length*4096))\n", + " return(whitened.reshape(-1))\n", + "\n", + "plt.clf()\n", + "plt.plot(rough_whitener(strain, 2))\n", + "plt.ylabel('strain (whitened)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Whitening data\n", + "#----------------------------------------------------------------\n", + "\n", + "white_data = strain.whiten() #We will just use the GWpy whitening function here\n", + "\n", + "plt.clf()\n", + "white_data.plot()\n", + "plt.ylabel('strain (whitened)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We seem to see potential signal now... (maybe?) It's still not good enought, next we will apply a band-pass filter to reject high frequency noise." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Bandpassing filter\n", + "A bandpass filter can select data from a specific range of frequencies and is used in a wide variety of physics applications. The macro below shows you a framework to do bandpanssing within gwpy. This will select data with frequencies above bandpass_low and below bandpass_high.
\n", + "What you need to do: play with the filter thresholds (bandpass_low and bandpass_high), and find a window leading to a clear signal on the upper plot. On the lower plot, check out how this bandpass filter affects the ASD and compare to the original ASD plot! \n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "hideCode": true, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# [Hidden code] Here set:\n", + "bandpass_low = \n", + "bandpass_high = \n" + ] + } + ], + "source": [ + "print('# [Hidden code] Here set:')\n", + "print('bandpass_low = ')\n", + "print('bandpass_high = ')\n", + "\n", + "bandpass_low = \n", + "bandpass_high = " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Bandpass filtering\n", + "#----------------------------------------------------------------\n", + "\n", + "white_data_bp = white_data.bandpass(bandpass_low, bandpass_high)\n", + "\n", + "plt.clf()\n", + "white_data_bp.plot()\n", + "plt.ylabel('strain (whitened + band-pass)')\n", + "plt.show()\n", + "\n", + "strain_bandpass = strain.bandpass(bandpass_low, bandpass_high) #Note: for the sake of comparison, we are using unwhitened strain\n", + "asd = strain_bandpass.asd(fftlength=8)\n", + "plt.clf()\n", + "asd.plot()\n", + "plt.xlim(10, 2000)\n", + "plt.ylim(1e-24, 1e-19)\n", + "plt.ylabel('ASD (strain/Hz$^{1/2})$')\n", + "plt.xlabel('Frequency (Hz)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the proper bandpass_low and bandpass_high set, we see a significant signal! Next let's zoom in it." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.clf()\n", + "white_data_bp.plot()\n", + "plt.ylabel('strain (whitened + band-pass)')\n", + "plt.xlim(tevent-0.17, tevent+0.13)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We see wave shape!! This is GW signal." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Plot a q-transform of the data\n", + "Next we take a q-transform of the data and check the time variation of frequency. This q-transform is formed by taking the magnitude of the [Short-time Fourier transform](https://en.wikipedia.org/wiki/Short-time_Fourier_transform), normally on a log-intensity axis (e.g. Energy)." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/storage/af/user/emoreno/.local/lib/python3.6/site-packages/gwpy/plot/plot.py:403: MatplotlibDeprecationWarning: The 'cmap' parameter to Colorbar has no effect because it is overridden by the mappable; it is deprecated since 3.3 and will be removed two minor releases later.\n", + " cbar = super(Plot, self).colorbar(mappable, **kwargs)\n" + ] + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# q-transform\n", + "#----------------------------------------------------------------\n", + "\n", + "dt = 1 #-- Set width of q-transform plot, in seconds\n", + "hq = strain.q_transform(outseg=(tevent-dt, tevent+dt))\n", + "\n", + "plt.clf()\n", + "fig = hq.plot()\n", + "ax = fig.gca()\n", + "fig.colorbar(label=\"Normalised energy\")\n", + "ax.grid(False)\n", + "plt.xlim(tevent-0.5, tevent+0.4)\n", + "plt.ylim(0, 400)\n", + "plt.ylabel('Frequency (Hz)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The yellow line is signal. Next we try developing an analytic model to describe this." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "MathJax.Hub.Config({\n", + " TeX: { equationNumbers: { autoNumber: \"AMS\" } }\n", + "});\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%javascript\n", + "MathJax.Hub.Config({\n", + " TeX: { equationNumbers: { autoNumber: \"AMS\" } }\n", + "});" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Analytic model: frequency vs. time\n", + "Calculating the actual waveform requires complicated numerical simulations. However, we can use the basic knowledge of General Relativity (GR) and Newtonian mechanics to perform an approximate analytic calculation for the waveform. For an orbiting binary system ($m_{1}$ and $m_{2}$), according to GR the frequency ($\\omega(t)$) of the GW radiation satisfies\n", + "\\begin{equation}\n", + "\\dot{\\omega} = \\frac{12}{5}2^{\\frac{1}{3}}\\left(\\frac{G\\mathcal{M}_{c}}{c^{3}}\\right)^{\\frac{5}{3}}\\omega^{\\frac{11}{3}}\n", + "\\label{eq:wwdot}\n", + "\\end{equation}\n", + "where $G$ and $c$ are gravitational constant and the speed of light respectively. $\\mathcal{M}_{c}$ is so-called chirp mass, defined by\n", + "\\begin{equation}\n", + "\\mathcal{M}_{c} = \\frac{(m_{1}m_{2})^{\\frac{3}{5}}}{(m_{1}+{m_{2}})^{\\frac{1}{5}}}\n", + "\\label{eq:Mc}\n", + "\\end{equation}\n", + "Integrating Eq.\\eqref{eq:wwdot}, we can get\n", + "\\begin{eqnarray}\n", + "\\int\\omega^{-\\frac{11}{3}}d\\omega &= \\int\\frac{12}{5}2^{\\frac{1}{3}}\\left(\\frac{G\\mathcal{M}_{c}}{c^{3}}\\right)^{\\frac{5}{3}}dt \\\\\n", + " \\Rightarrow \\omega(t) &= \\frac{5^{\\frac{3}{8}}}{4}\\left(\\frac{c^{3}}{G\\mathcal{M}_{c}}\\right)^{\\frac{5}{8}}\\Delta t^{-\\frac{3}{8}} \\\\\n", + "\\end{eqnarray}\n", + "Now we get the time dependence of frequency. Considering\n", + "\\begin{equation}\\label{eq:msolar}\n", + " \\frac{GM_{\\odot}}{c^{3}} \\approx 4.93~\\mathrm{\\mu s}\n", + "\\end{equation}\n", + "We have\n", + "\\begin{equation}\\label{eq:wtnum}\n", + " \\omega(t) = 948.5\\left(\\frac{M_{\\odot}}{\\mathcal{M}_{c}}\\right)^{\\frac{5}{8}}\\left(\\frac{1\\:\\mathrm{s}}{\\Delta t}\\right)^{\\frac{3}{8}}\\;\\mathrm{[Hz\\cdot rad]}\n", + "\\end{equation}\n", + "Now let's plot this function and see how it looks like." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Frequency analytic\n", + "#----------------------------------------------------------------\n", + "\n", + "def gwfreq(iM,iT,iT0):\n", + " const = (948.5)*np.power((1./iM),5./8.)\n", + " output = const*np.power(np.maximum((iT0-iT),3e-2),-3./8.) # we can max it out above 500 Hz-ish\n", + " return output\n", + "\n", + "times = np.linspace(0., 4., 50)\n", + "freq = gwfreq(20, times, 4)\n", + "\n", + "plt.clf()\n", + "plt.plot(times, freq)\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('Frequency (Hz)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The shape is very similar to what we have seen in data. You can use the model to fit data as play, and we don't do it here. Next, we try building the analytic model of wave form." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "### Analytic model: Wave form\n", + "Now, we build the waveform with the radiation power $dE(t)/dt$.\n", + "\\begin{eqnarray}\n", + "f(t) &= A(t)\\cos(\\omega(t)\\Delta t +\\phi) \\\\\n", + "\\label{eq:ft} &\\propto \\frac{dE(t)}{dt}\\cos(\\omega(t)\\Delta t +\\phi) \\\\\n", + "\\end{eqnarray}\n", + "With Newtonian mechanics, we know the energy of a binary orbit is\n", + "\\begin{eqnarray}\n", + "E &= E_{\\mathrm{k}} + E_{\\mathrm{u}} \\\\\n", + " &= \\frac{1}{2}\\mu\\dot{r}^{2} + \\frac{1}{2}\\frac{m_{1}m_{2}}{m_{1}+m_{2}}\\omega^{2}R^{2} - \\frac{Gm_{1}m_{2}}{R} \\\\\n", + "\\label{eq:Etot} &= \\frac{1}{2}\\frac{m_{1}m_{2}}{m_{1}+m_{2}}\\omega^{2}R^{2} - \\frac{Gm_{1}m_{2}}{R} \\\\ \n", + "\\end{eqnarray}\n", + "The last step is because $\\dot{r} = 0$. According to Kepler's third law,\n", + "\\begin{equation}\\label{eq:kepler}\n", + " \\omega^{2} = \\frac{G(m_{1}+m_{2})}{R^{3}}\n", + "\\end{equation}\n", + "Put \\eqref{eq:kepler} into \\eqref{eq:Etot} and substitute $R$, we have\n", + "\\begin{eqnarray}\n", + "E &= -\\frac{Gm_{1}m_{2}}{2R} \\\\\n", + "\\label{eq:Ew} &\\propto \\mathcal{M}_{c}^{\\frac{5}{3}}\\omega(t)^{\\frac{2}{3}} \\\\\n", + "\\end{eqnarray}\n", + "Perform derivatives on Eq.\\eqref{eq:Ew},\n", + "\\begin{eqnarray}\n", + "\\frac{dE}{dt} &\\propto \\mathcal{M}_{c}^{\\frac{5}{3}}\\omega(t)^{-\\frac{1}{3}}\\dot{\\omega} \\\\\n", + "\\label{eq:dEdt} &\\propto \\left(\\mathcal{M}_{c}\\omega(t)\\right)^{\\frac{10}{3}} \\\\\n", + "\\end{eqnarray}\n", + "Put Eq.\\eqref{eq:dEdt} into Eq.~\\eqref{eq:ft}, we have the waveform\n", + "\\begin{eqnarray}\n", + "\\label{eq:fwt}\n", + "f(t) &= C\\left(\\mathcal{M}_{c}\\omega(t)\\right)^{\\frac{10}{3}}\\cos(\\omega(t)\\Delta t +\\phi), \\\\\n", + " \\mathrm{where}\\:\\omega(t) &= 948.5\\left(\\frac{M_{\\odot}}{\\mathcal{M}_{c}}\\right)^{\\frac{5}{8}}\\left(\\frac{1\\:\\mathrm{s}}{\\Delta t}\\right)^{\\frac{3}{8}}\\;\\mathrm{[Hz\\cdot rad]} \\\\\n", + "\\end{eqnarray}\n", + "and $C$ is a constant. This waveform amplitude is only supposed to work before merger ($t \\leq t_{0}$), and we need to come up with a way to define the ringdown amplitude ($t > t_{0}$). The actual way to get the amplitude requires months of a super computer to build good templates. As a simple approximate solution, you can use a simple damping function (Here I use an exponential).
\n", + "What you need to do: Build a function osc(t, Mc, t0, C, phi). It has the form as Eq.\\eqref{eq:fwt} for $t \\leq t_{0}$, but damp to vanish for $t > t_{0}$." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# [Hidden code]: Define the model function w(t) here.\n", + "def osc(t, Mc, t0, C, phi):\n" + ] + } + ], + "source": [ + "print('# [Hidden code]: Define the model function w(t) here.')\n", + "print('def osc(t, Mc, t0, C, phi):')\n", + "\n", + "def osc(t, Mc, t0, C, phi):\n", + " \n", + " '''define code here'''\n", + "\n", + " return val" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Draw the function defined\n", + "times = np.linspace(-0.1, 0.3, 1000)\n", + "freq = osc(times, 30, 0.18, 1, 0.0)\n", + "plt.figure(figsize=(12, 4))\n", + "plt.subplots_adjust(left=0.1, right=0.9, top=0.85, bottom=0.2)\n", + "plt.plot(times, freq)\n", + "plt.xlabel('Time (s) since '+str(tevent))\n", + "plt.ylabel('strain')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Looks not bad. Now we use this function to fit the data." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "# define osc_dif for lmfit::minimize()\n", + "def osc_dif(params, x, data, eps):\n", + " iM=params[\"Mc\"]\n", + " iT0=params[\"t0\"]\n", + " norm=params[\"C\"]\n", + " phi=params[\"phi\"]\n", + " val=osc(x, iM, iT0, norm, phi)\n", + " return (val-data)/eps" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Fit Statistics]]\n", + " # fitting method = leastsq\n", + " # function evals = 81\n", + " # data points = 1228\n", + " # variables = 4\n", + " chi-square = 0.72586206\n", + " reduced chi-square = 5.9302e-04\n", + " Akaike info crit = -9120.38392\n", + " Bayesian info crit = -9099.93135\n", + "[[Variables]]\n", + " Mc: 17.3569277 +/- 0.20107011 (1.16%) (init = 20)\n", + " t0: 0.18039070 +/- 5.8553e-04 (0.32%) (init = 0.18)\n", + " C: -0.04144573 +/- 0.00201508 (4.86%) (init = 1)\n", + " phi: -2.09189717 +/- 0.37798449 (18.07%) (init = 0)\n", + "[[Correlations]] (unreported correlations are < 0.100)\n", + " C(t0, phi) = -0.981\n", + " C(Mc, phi) = 0.893\n", + " C(Mc, t0) = -0.825\n", + " C(Mc, C) = 0.253\n", + " C(C, phi) = 0.209\n", + " C(t0, C) = -0.188\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Fit\n", + "#----------------------------------------------------------------\n", + "\n", + "sample_times = white_data_bp.times.value\n", + "sample_data = white_data_bp.value\n", + "indxt = np.where((sample_times >= (tevent-0.17)) & (sample_times < (tevent+0.13)))\n", + "x = sample_times[indxt]\n", + "x = x-x[0]\n", + "white_data_bp_zoom = sample_data[indxt]\n", + "\n", + "plt.figure(figsize=(12, 4))\n", + "plt.subplots_adjust(left=0.1, right=0.9, top=0.85, bottom=0.2)\n", + "plt.plot(x, white_data_bp_zoom)\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('strain (whitened + band-pass)')\n", + "\n", + "import lmfit\n", + "from lmfit import Model, minimize, fit_report, Parameters\n", + "\n", + "model = lmfit.Model(osc)\n", + "p = model.make_params()\n", + "p['Mc'].set(20) # Mass guess\n", + "p['t0'].set(0.18) # By construction we put the merger in the center\n", + "p['C'].set(1) # normalization guess\n", + "p['phi'].set(0) # Phase guess\n", + "unc = np.full(len(white_data_bp_zoom),20)\n", + "out = minimize(osc_dif, params=p, args=(x, white_data_bp_zoom, unc))\n", + "print(fit_report(out))\n", + "plt.plot(x, model.eval(params=out.params,t=x),'r',label='best fit')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "With the simple analytic model, we actually caught the wave shape for $t\n", + "What you need to do: develop a machinery to search for GW events across a long time range.
\n", + "Tip: You can slice the time into short ranges, and fit by one and see the significance." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "hideCode": true, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# [Hidden code]: develop a machinery to search for GW events across a long time range.\n" + ] + } + ], + "source": [ + "print('# [Hidden code]: develop a machinery to search for GW events across a long time range.')\n", + "#----------------------------------------------------------------\n", + "# Significance vs. time\n", + "#----------------------------------------------------------------\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 4))\n", + "plt.subplots_adjust(left=0.1, right=0.9, top=0.85, bottom=0.2)\n", + "plt.plot(times, sigs)\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('N/$\\sigma_{N}$')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see the significance is significantly higher around the signal event. We can also check the $\\chi^{2}$." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 4))\n", + "plt.subplots_adjust(left=0.1, right=0.9, top=0.85, bottom=0.2)\n", + "plt.plot(times, chi2)\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('$\\chi^{2}$')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "## More things to explore\n", + "Now you have known the basic method to analyze a particular GW event. Now you can explore more interesting things.
\n", + " * Check and quantify the correlation and time delay between detectors (below);\n", + " * Load the template database, fit the data, and get more accurate parameters (MIT_8.S50/Project1/extra/GW_PEInjection_tutorial.ipynb);\n", + " * Determine how far the source of GW is away;\n", + " * Explore more events;\n", + " * Data of other events can be found [here](https://www.gw-openscience.org/eventapi/html/allevents/).\n", + " * How to determine if the source is black hole merger or neutron star merger or other source?\n", + "\n", + "**Have fun!**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Optional - Exploring Correlation and Time-Delay between detectors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, we can try to analyze data through multiple detector streams. Recall that LIGO employs various detectors (Hanford-H1, Livingston-L1, Virgo-V1) to decrease their false positive rate and identify the region in the sky where the GW arrives from. This can be useful to alert the multimessenger astronomy community of an interesting event - think when Binary Neutron Star (BNS) merger GW-170817 was successfully detected by LIGO and allowed observatories in various EM-wavelengths to point their telescopes at the event, allowing for experimental evidence of the creation of heavy-metals whose origin was previously a mystery. Since detectors are located thousands of miles from each other, the only seemingly correlated signal between each should be a GW.\n", + "\n", + "In this section, we will correlate the signals from H1, L1, and V1 from [GW200129_065458](https://www.gw-openscience.org/eventapi/html/GWTC-3-confident/GW200129_065458/v1). First, read in the data and perform the normal bandpassing and whitening: " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'data/V-V1_GWOSC_4KHZ_R1-1264314069-4096.hdf5'" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Download data\n", + "#----------------------------------------------------------------\n", + "\n", + "wget.download('https://www.gw-openscience.org/eventapi/html/GWTC-3-confident/GW200129_065458/v1/H-H1_GWOSC_4KHZ_R1-1264314069-4096.hdf5', 'data')\n", + "wget.download('https://www.gw-openscience.org/eventapi/html/GWTC-3-confident/GW200129_065458/v1/L-L1_GWOSC_4KHZ_R1-1264314069-4096.hdf5', 'data')\n", + "wget.download('https://www.gw-openscience.org/eventapi/html/GWTC-3-confident/GW200129_065458/v1/V-V1_GWOSC_4KHZ_R1-1264314069-4096.hdf5', 'data')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "#----------------------------------------------------------------\n", + "# Read in data\n", + "#----------------------------------------------------------------\n", + "\n", + "fn_H1 = 'data/H-H1_GWOSC_4KHZ_R1-1264314069-4096.hdf5' # data file\n", + "fn_L1 = 'data/L-L1_GWOSC_4KHZ_R1-1264314069-4096.hdf5' # data file\n", + "fn_V1 = 'data/V-V1_GWOSC_4KHZ_R1-1264314069-4096.hdf5'\n", + "tevent = 1264316116.4 # Mon Sep 14 09:50:45 GMT 2015\n", + "evtname = 'GW200129_065458' # event name\n", + "\n", + "strain_H1 = TimeSeries.read(fn_H1, format='hdf5.losc')\n", + "strain_L1 = TimeSeries.read(fn_L1, format='hdf5.losc')\n", + "strain_V1 = TimeSeries.read(fn_V1, format='hdf5.losc')\n", + "center = int(tevent)\n", + "strain_H1 = strain_H1.crop(center-16, center+16)\n", + "strain_L1 = strain_L1.crop(center-16, center+16)\n", + "strain_V1 = strain_V1.crop(center-16, center+16)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Compare strains\n", + "#----------------------------------------------------------------\n", + "\n", + "plt.figure()\n", + "plt.plot(strain_L1, label='L1')\n", + "plt.plot(strain_V1, label='V1')\n", + "plt.plot(strain_H1, label='H1')\n", + "\n", + "plt.legend()\n", + "plt.ylabel('strain')\n", + "plt.xlabel('timestep')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we can see, the strain magnitudes look very different between all three detectors! It's almost impossible to build three perfectly identical detectors thousands of miles from each other. However, we can still correlated signals between them. Lets continue our normal preprocessing techniques: whitening and bandpass. As we can see in the bottom plot, there is a noticable difference between the L1 and H1 streams. " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Preprocess data\n", + "#----------------------------------------------------------------\n", + "\n", + "# Remember you defined bandpass_low and bandpass_high above \n", + "\n", + "white_data_H1 = strain_H1.whiten()\n", + "white_data_L1 = strain_L1.whiten()\n", + "white_data_V1 = strain_V1.whiten()\n", + "white_data_H1_bp = white_data_H1.bandpass(bandpass_low, bandpass_high) \n", + "white_data_L1_bp = white_data_L1.bandpass(bandpass_low, bandpass_high)\n", + "white_data_V1_bp = white_data_V1.bandpass(bandpass_low, bandpass_high)\n", + "\n", + "# Side note: These bandpass frequencies are okay for high mass black hole mergers (like the ones analyzed here), but smaller mass \n", + "# mergers like neutron stars can arrive at frequencies up to 2 KHz! \n", + "\n", + "plt.figure()\n", + "plt.plot(white_data_H1_bp, label='H1')\n", + "plt.plot(white_data_L1_bp, label='L1')\n", + "plt.plot(white_data_V1_bp, label='V1')\n", + "\n", + "plt.legend()\n", + "plt.ylabel('strain')\n", + "plt.xlabel('timestep')\n", + "plt.ylim(-5, 5)\n", + "plt.xlim(tevent-1, tevent+1)\n", + "plt.show()\n", + "\n", + "plt.figure()\n", + "delta = white_data_H1_bp - white_data_L1_bp\n", + "plt.plot(delta, label='delta strain H1-L1')\n", + "plt.legend(loc='upper left')\n", + "plt.ylabel('strain')\n", + "plt.xlabel('timestep')\n", + "plt.xlim(tevent-0.17, tevent+0.13)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we can correlate signals across the multiple detectors. Correlation is done by detrending the input and compared detector strain and then outputting normalized SNRs as number of standard deviations from the expected mean. NOTE: this is a correlation test that LIGO uses to announce GW detections by comparing datastreams to GW-templates (matched-filtering) but we are using it for a bit of a different reason. \n", + "\n", + "What you need to do: develop a machinery to correlate signals between detectors with the gwpy.TimeSeries.correlate() function. This will give you an SNR (try plotting it!) which you can then use to find the offset signal between detectors. " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# [Hidden code]: develop a function offset(detector1_strain, detector2_strain) which returns the number of steps and time which two strains are offset\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of steps shifted from H1 to L1: 21\n", + "Time shifted from H1 to L1: 0.005126953125 s\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of steps shifted from H1 to V1: 63\n", + "Time shifted from V1 to H1: 0.015380859375 s\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of steps shifted from V1 to L1: 86\n", + "Time shifted from V1 to L1: 0.02099609375 s\n" + ] + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Calculate offset between detectors\n", + "#----------------------------------------------------------------\n", + "\n", + "print('# [Hidden code]: develop a function offset(detector1_strain, detector2_strain) which returns the number of steps and time which two strains are offset')\n", + "\n", + "def offset(detector1, detector2):\n", + " \n", + " '''define code here'''\n", + " \n", + " return(shiftSteps, shiftTime)\n", + "\n", + "\n", + "shiftStepsH1L1, shiftTimeH1L1 = offset(white_data_L1_bp, white_data_H1_bp)\n", + "print('Number of steps shifted from H1 to L1: %s'%(str(shiftStepsH1L1)))\n", + "print('Time shifted from H1 to L1: %s'%str(shiftTimeH1L1))\n", + "\n", + "shiftStepsH1V1, shiftTimeH1V1 = offset(white_data_H1_bp, white_data_V1_bp)\n", + "print('Number of steps shifted from H1 to V1: %s'%str(shiftStepsH1V1))\n", + "print('Time shifted from V1 to H1: %s'%str(shiftTimeH1V1))\n", + "\n", + "shiftStepsL1V1, shiftTimeL1V1 = offset(white_data_L1_bp, white_data_V1_bp)\n", + "print('Number of steps shifted from V1 to L1: %s'%str(shiftStepsL1V1))\n", + "print('Time shifted from V1 to L1: %s'%str(shiftTimeL1V1))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, plot the shifted strain against the other strains. You should see that the strains are now overlapping." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Shift detector strains\n", + "#----------------------------------------------------------------\n", + "\n", + "\n", + "# The timeseries.shift(delta) function will simply shift the X-axis (time) forward by the specified delta\n", + "shifted_data_H1 = white_data_H1_bp.copy()\n", + "shifted_data_H1.shift(shiftTimeH1L1)\n", + "shifted_data_H1 *= -1 \n", + "\n", + "shifted_data_V1 = white_data_V1_bp.copy()\n", + "shifted_data_V1.shift(shiftTimeL1V1)\n", + "shifted_data_V1 *= -1\n", + "\n", + "plt.figure()\n", + "plt.plot(white_data_L1_bp, label='L1')\n", + "plt.plot(shifted_data_H1, label='H1')\n", + "plt.plot(shifted_data_V1, label='V1')\n", + "plt.legend()\n", + "plt.ylabel('strain')\n", + "plt.xlim(tevent-0.07, tevent+0.07)\n", + "plt.title('Corrected-Shifted Strain')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It looks like the strains are aligning well! Next, we can calculate the region in the sky where this GW resides given the offsets between detectors. Think of the GW as some farfield source whose wave creates a right triangle between two detectors. This will give you a region in space where \n", + "\n", + "What you need to do: Calculate the projected angles in the direction of:\n", + " * L1 to H1 (3000 km) \n", + " * H1 to V1 (8166 km) \n", + " * L1 to V1 (8868 km) \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# [Hidden code]: Calculate (using simple trigonometry) the cone where the GW resides in the sky for each detector pair\n", + "Angle in sky from L1 towards H1: 59.156469485387305 degrees\n", + "Angle in sky from H1 towards V1: 55.593730426484825 degrees\n", + "Angle in sky from L1 towards V1: 44.74170114551119 degrees\n" + ] + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#----------------------------------------------------------------\n", + "# Calculate angle in sky\n", + "#----------------------------------------------------------------\n", + "\n", + "print('# [Hidden code]: Calculate (using simple trigonometry) the cone where the GW resides in the sky for each detector pair')\n", + "\n", + "DistanceL1H1 = 3000 #km\n", + "DistanceH1V1 = 8166 #km\n", + "DistanceL1V1 = 8868 #km\n", + "c = 3e5 # Speed of light in Km/s\n", + "\n", + "AngleL1H1 = \n", + "AngleH1V1 = \n", + "AngleL1V1 = \n", + "\n", + "print('Angle in sky from L1 towards H1: %s degrees'%(AngleL1H1))\n", + "print('Angle in sky from H1 towards V1: %s degrees'%(AngleH1V1))\n", + "print('Angle in sky from L1 towards V1: %s degrees'%(AngleL1V1))\n", + "\n", + "# The geometry that projects these angles onto skymaps isn't particularly enlightening so I will just provide some premade skymaps of the event\n", + "\n", + "from IPython.display import Image\n", + "display(Image(url='https://data.cardiffgravity.org/gwcat-data/data/png/GW200129_065458_moll.png'))\n", + "display(Image(url='https://data.cardiffgravity.org/gwcat-data/data/png/GW200129_065458_moll_pretty.png'))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "celltoolbar": "Hide code", + "hide_code_all_hidden": false, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Recitation2/Recitation_02.ipynb b/Recitation2/Recitation_02.ipynb index 23758fd..7c79dc4 100644 --- a/Recitation2/Recitation_02.ipynb +++ b/Recitation2/Recitation_02.ipynb @@ -2,6 +2,7 @@ "cells": [ { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "
\n", @@ -12,11 +13,11 @@ "# RECITATION 2: Error Propagation & Fourier Analysis\n", "---\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "\n", @@ -38,19 +39,19 @@ "\n", "pip3 install https://sigproc.mit.edu/_static/fall21/software/lib6003-0.0.4.tar.gz\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "----\n", "## 2.1 Error Propagation" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "## 2.1.0 Motivation: Lab Reports and Beyond\n", "- We often encounter functions of measured quantities with associated independent Gaussian errors\n", @@ -58,23 +59,32 @@ "- Sometimes things get complicated\n", " - A good physicist is (somewhat) lazy\n", "- We can use NumPy to help us propagate errors through more complex functions" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "## 2.1.1 A (Very) Simple Example\n", "\n", "Suppose we have data points ($x,y$) with independent gaussian errors $\\Delta x$ and $\\Delta y$. We want to compute $f(x,y) = x + y$ and its error.\n", "\n", "Using our error propagation formula above we obtain: $\\Delta f = \\sqrt{(\\Delta x)^2 + (\\Delta y)^2} $" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(x) = 14.000000 +/- 2.828427\n" + ] + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -93,20 +103,40 @@ "y_err = 2.\n", "\n", "print(\"f(x) = %f +/- %f\" % (f(x_val, y_val), delta_f(x_err, y_err)))\n" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "Now let's try using NumPy to run actual gaussian distributions through this function" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(x) = 13.998440 +/- 2.817701\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "np.random.seed(2)\n", "N_SAMPLES = 100000\n", @@ -123,12 +153,11 @@ "plt.plot(bin_centers, scipy.stats.norm.pdf(bin_centers, loc = f(x_val, y_val), scale = delta_f(x_err, y_err)))\n", "\n", "print(\"f(x) = %f +/- %f\" % (np.mean(f_samples), np.std(f_samples)))\n" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "## 2.1.2 A More Complicated Example\n", "\n", @@ -164,12 +193,33 @@ "print(\"g(x) = %f +/- %f\" % (g_val, g_err))\n", "\n", "-->" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "g(x) = -20.437936 +/- 14.358070\n" + ] + }, + { + "data": { + "image/png": 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qbTpSR0Ksl4VFkTmRTERYWJRuBcCMuCELgKr2APcDLxIYxH1aVfeLyL0icq/TbANQAZQDjwJfco4vA+4EbhSRXc7XKufcD4DlInIEWO7cN2bYdp1sYv6kNOJjvG5HGTULitI51XSe0822MJwZOTHBNFLVDQSe5Hsfe7jXbQXu6+e6zfQ/PoCqNgA3DSesMX35/Mrh2lb+ZkmR21FG1cJe4wCrrsxzOY2JFPZJYBPWjje00dHtj6hP//ZnVl4K8TEe6wYyI8oKgAlrB2sCk8oiYfXPwcTFeJhbkGoFwIwoKwAmrB2sacHrEUpyk9yOMuoWFKWzv7qZjm6f21FMhLACYMLaoZpWpmYnRvQA8AWLijLo9im/3VrpdhQTIawAmLB2sKYl4rt/LrhhRg7LZ+Xy/204yO939/0ojjHDZwXAhK3m9m6qmzuYMSE6CoDXI/x8zXwWFWXw9ad3sdlZ/8iYS2UFwIStg6cvDABH9gyg3sbFenn07lKmZifx978po7Khze1IJoxZATBhK1pmAPWVmhDLv925kLYuH68ctBVUzKWzAmDC1qGaVjIS48hJjrwVQIdSlJnIhJRx7K5qcjuKCWNWAEzYOni6hZl5yRG1A9hwXFWYyu6TTW7HMGHMCoAJSz6/cvh0a9QMAPfnqsI0jje024bx5pJZATBh6Vh9G509/qjr/+9tXkEaAHuqmt0NYsKWFQATli4MAEf6GkCDmVOQigjWDWQumRUAE5YOnY6eJSAGkjIulilZiTYQbC6ZFQATlvaeaomaJSAGc1VhGrtONhNYkd2Y4bECYMLO8fo2Nh+p48YZuW5Hcd28wjTqz3VSbRvFmEtgBcCEnUc2VRDj8fD5ZcVuR3HdVc5AsI0DmEthBcCElTOtHTyzo4pPLcwnJ2Wc23FcNyMvmTivxwqAuSRWAExY+fWbx+n2+Vl73VS3o4SE+BgvMyemsMsKgLkEVgBM2Gjt6OY3WytZOWcCk7MS3Y4TMq4qSGXfqWZ8fhsINsNjBcCEjd9tO0FrRw/3fthe/fd2VUEabV0+jtadczuKCTNWAEzY+N3bJ7h6SiZznYFPEzBvUhoAZcdtv2AzPFYATFioamynsqGd5bNs6mdfU7ISyU9L4NVDtjS0GR4rACYsbK04C8DVUzNdThJ6RISbZuawubzONow3w2IFwISFLUcbSB8fy/Tc6F37ZzA3zsiho9vPlqMNbkcxYSSoAiAiK0TksIiUi8gD/ZwXEfmZc36PiCzode5xETkjIvv6XPN9ETklIrucr1WX/3BMJFJVtlY0sHRKJh5PdK79P5SlUzIZH+fl5YO1bkcxYWTIAiAiXuAXwEpgFrBGRGb1abYSKHG+1gIP9Tr3a2DFAD/+J6o6z/naMMzsJkpUNZ7nVNN56/4ZxLhYL9eWZPHqoTO2LpAJWjDvABYD5apaoapdwFPA6j5tVgPrNGArkCYieQCq+gZwdiRDm+hyoVtj6RQrAIO5aWYuNc0d7K9ucTuKCRPBFIB84GSv+1XOseG26c/9TpfR4yKS3l8DEVkrImUiUlZXVxfEjzSRZktFA1lJcZTkRO/Sz8G4cUYOIthG8SZowRSA/jpd+77HDKZNXw8BU4F5QA3wL/01UtVHVLVUVUuzs7OH+JEm0qgqW442sGRKZtTu/RusrKR45hWm8eohGwcwwQmmAFQBhb3uFwDVl9DmA1S1VlV9quoHHiXQ1WTMBxxvaOd0SwdXW/dPUG6emcvuqmbOtNjy0GZowRSA7UCJiEwWkTjgDmB9nzbrgbuc2UBLgWZVrRnsh14YI3B8Atg3UFsTvbZWBPr/bQA4ODfNzAHgFftQmAnCkAVAVXuA+4EXgYPA06q6X0TuFZF7nWYbgAqgnMCr+S9duF5E/h3YAkwXkSoRucc59aCI7BWRPcANwNdG6kGZyLHlaAM5yfFMscXfgjI9N5nizPFs2Dvo6y9jAIgJppEzRXNDn2MP97qtwH0DXLtmgON3Bh/TRCNVZUtFA1db/3/QRISPzM3j4dcraDjXSWZSvNuRTAizTwKbkHW4tpW61k6uKclyO0pYuW3uRHx+5U/7TrsdxYQ4KwAmZG0+Ug/AtVYAhmXGhGSmZifyxz3WDWQGZwXAhKxNR+qZmp1IXmqC21HCSqAbaCLbjjVwptVmA5mBWQEwIamj28e2Yw1cW2Kf/bgUt83Nw6/wp73WDWQGZgXAhKSdlY10dPut++cSTctNZlpuEn/YM+jHcUyUswJgQtKm8npiPMIS+wDYJbtt7kS2H2+kpvm821FMiLICYELSpiN1LChKJyk+qJnKph8fmRv4rKUNBpuBWAEwIedsWxf7q1u49grr/rkcU7OTmDEhmRf32ziA6Z8VABNy3iyvRxWb/z8CVsyZQFllo80GMv2yAmBCzqYjdaSMi2FuQZrbUcLeyjl5qMJL+22FUHMxKwAmpPj9yqYj9Sy7Iguvbf942ablJjE5K9G6gUy/rACYkLK5vJ6a5g5unT3B7SgRQUS4dfYEthxtoKm9y+04JsRYATAhZd2WSjIT41h5pRWAkbJyzgR6/MrLtlOY6cMKgAkZJ8+28+qhWu5YXEh8jNftOBFjbkEqE1PH8ed9Nh3UfJAVABMyntx2AoC/XlLkcpLIIiLcOmcCbxyp51xnj9txTAixAmBCQke3j//YfoLls3LJT7PF30baitkT6Orx89ph6wYy77MCYELCH/bU0NjezV1XF7sdJSKVFmeQlRRnO4WZD7ACYELCb7YcZ2p2Ih+yvX9HhdcjrJyTx6uHztBm3UDGYQXAuO7Q6RZ2VzXzt0uLbOvHUXTb3Dw6uv28fNA+FGYCrAAY172wqxqvR/joVRPdjhLRFhVnkJsSzx9scTjjsAJgXKWqrN9VzTVXZJFlG5iPKo9HWHVlHq8frqOlo9vtOCYEWAEwrtp5opFTTedZPc9e/Y+Fj141kS6fn422NpDBCoBx2Qu7qomP8XCLLf0wJuYXppGflmA7hRnACoBxUbfPzx/31HDzrFzb+GWMiAi3zc1j05F6GttsbaBoZwXAuObN8noa2rpYbYO/Y+q2uRPp8autEGqCKwAiskJEDotIuYg80M95EZGfOef3iMiCXuceF5EzIrKvzzUZIrJRRI4439Mv/+GYcLJ+VzUp42L48PRst6NElTn5KUzJSmTdlkp8fnU7jnHRkAVARLzAL4CVwCxgjYjM6tNsJVDifK0FHup17tfAin5+9APAK6paArzi3DdRoqPbx4v7T7Pqyjxb+G2MiQhfubmEAzUtPLPjpNtxjIuCeQewGChX1QpV7QKeAlb3abMaWKcBW4E0EckDUNU3gLP9/NzVwBPO7SeAj19CfhOm3jpaT1uXj1VX5rkdJSp97KqJlBal86MXD9uU0CgWTAHIB3q/TKhyjg23TV+5qloD4HzP6a+RiKwVkTIRKaurqwsirgkHrx2uIyHWy5IpGW5HiUoiwvc+OpuGti7+9dVyt+MYlwRTAPr7bH7fjsNg2lwSVX1EVUtVtTQ72/qKI4Gq8uqhMyy7ItO6f1x0ZUEqty8s4FdvHuNYfZvbcYwLgikAVUBhr/sFQN9JxMG06av2QjeR893WqY0SR+vaqGo8z/XT+33TZ8bQN2+dTnyMl39+6bDbUYwLgikA24ESEZksInHAHcD6Pm3WA3c5s4GWAs0XuncGsR6427l9N/DCMHKbMHZhTfrrbfaP63KSx/HJBfm8evAMHd0+t+OYMTZkAVDVHuB+4EXgIPC0qu4XkXtF5F6n2QagAigHHgW+dOF6Efl3YAswXUSqROQe59QPgOUicgRY7tw3UeC1w3VMy02iIH2821EMcMOMHM53+3j7WH9zNUwkC+rjl6q6gcCTfO9jD/e6rcB9A1y7ZoDjDcBNQSc1EaGts4dtxxr43LLJbkcxjqunZBIf4+HVQ2e4bpq9K4sm9klgM6beLK+n26fW/RNCxsV6+dDUTNsuMgpZATBj6i+H60iKj6G0yKZ/hpIbZuRwvKHdZgNFGSsAZsyoKq8fPsM1V2QRF2P/9ELJ9dMCM7JePWTvAqKJ/RWaMbO/uoXq5g7r/glBkzLHMzU70bqBoowVADNmfvXmccbHeVk5x5Z/CEU3zshhW8VZ2zQ+ilgBMGPiTEsH63ef4vaFBaSOj3U7junHDdNz6PL5eetog9tRzBixAmDGxLotlfT41aZ/hrDS4gwS47w2DhBFrACYUXe+y8dvt1WyfGYuxVmJbscxA4iL8XDdtGw2Hqil2+d3O44ZA1YAzKh7dmcVTe3dfOHaKW5HMUP41IIC6s918spBexcQDawAmFHl9yuPbz7G3IJUFhXbpm+h7vrp2eSmxPPU9hNuRzFjwAqAGVWvv1tHRX0b91wzGZH+Vg03oSTG6+H2hYW8/m4d1U3n3Y5jRpkVADOqnthynJzkeJv6GUb+alEhqvB0mW0XGemsAJhRU9nQxuvv1rFm8ST75G8YKcwYz7UlWTy9/aRtGh/h7K/SjJrfbq3EK8JfL5nkdhQzTHcsmkR1cwdvHLFtWCOZFQAzKs53+fiP7Se5dc4EclPGuR3HDNPyWblkJsbx1Ns2GBzJrACYUbF+9ylaOnq4a2mR21HMJYiL8fDp0gJePniGUzYYHLGsAJgRp6qs21LJjAnJLJ5syz6Hq7uuLgbgV5uPuRvEjBorAGbE7ahsZH91C3deXWRTP8NYfloCH7kyj6e2n6Slo9vtOGYUWAEwI+7HG98lMzGOj8/LdzuKuUx/d+0UznX28PR2mxIaiawAmBG1+Ug9bx1t4P4bryAxPqgtp00Iu7IglSWTM/jVm8fpsfWBIo4VADNiVJUf/vkQ+WkJNvUzgnzh2imcajrPhn2n3Y5iRpgVADNi/rTvNHtPNfO15dOIj/G6HceMkJtm5DAlK5FH36hA1T4YFkmsAJgR0ePz888vHaYkJ4lPzLe+/0ji8Qj3Xj+Vvaeaef6dU27HMSPICoAZEc+/c4qKuja+eet0vB6b+RNpPr2ggHmFafzThoM0n7cZQZHCCoC5bKrKI29UMGNCMrfMynU7jhkFHo/wPz8+h7NtXfz4pcNuxzEjJKgCICIrROSwiJSLyAP9nBcR+Zlzfo+ILBjqWhH5voicEpFdzteqkXlIZqy99m4dR86cY+11U2zefwSbk5/KnUuL+M3WSvadanY7jhkBQxYAEfECvwBWArOANSIyq0+zlUCJ87UWeCjIa3+iqvOcrw2X+2CMOx59o4IJKeO4be5Et6OYUfb1W6aTkRjPd//PPvy2UmjYC+YdwGKgXFUrVLULeApY3afNamCdBmwF0kQkL8hrTRjbd6qZt4428NllxbbkcxRITYjlO6tmsPtkE8/ZgHDYC+YvNh/o/THAKudYMG2GuvZ+p8vocRGx/QLD0C83VZAY52XNYpv3Hy0+Pi+f+ZPS+OGfD3Gus8ftOOYyBFMA+uvU7fveb6A2g137EDAVmAfUAP/S7y8XWSsiZSJSVldna5OHkuqm8/x+Tw13LJ5EakKs23HMGPF4hO99dDZ1rZ384i/lbscxlyGYAlAFFPa6XwBUB9lmwGtVtVZVfarqBx4l0F10EVV9RFVLVbU0Ozs7iLhmrPx447sAfG5ZsbtBzJibV5jGJxfk89imY1Q2tLkdx1yiYArAdqBERCaLSBxwB7C+T5v1wF3ObKClQLOq1gx2rTNGcMEngH2X+VjMGHpx/2me2VHFFz88lYL08W7HMS741ooZxHiFf9pw0O0o5hINuVqXqvaIyP3Ai4AXeFxV94vIvc75h4ENwCqgHGgHPjfYtc6PflBE5hHoEjoO/P0IPi4ziupaO/n2c3uZPTGF/3JTidtxjEtyU8Zx3w1X8KMXD7OjspGFRTaMF24knNb2KC0t1bKyMrdjRDVV5QtPlLGpvJ4/fvkaSnKT3Y5kXNTW2cM1P3yVBZPSeeyzi9yOYwYgIjtUtbTvcZu3Z4blmR1VvHLoDA+smGFP/obE+Bg+t2wyrxw6w4HqFrfjmGGyAmCC5vMrP3+1nKsK0/jsh4rdjmNCxN1XF5MUH8NDrx91O4oZJisAJmgbD5zmxNl27r1uCh5b8M04UsfH8rdLi/jjnmqO1duMoHBiBcAE7dFNxyjMSOCW2RPcjmJCzD3XTCbW6+Hh1+xdQDixAmCCsvNEIzsqG/n8ssm23LO5SHZyPH+1qJDn3qmiou6c23FMkKwAmKA8tukYKeNi+Exp4dCNTVT60vWBfaC/9OROOrp9bscxQbACYIZ08mw7f9pXw18vKbKN3s2AJqSO4yd/NY/Dta38txfsc53hwAqAGVRTexf/7YV9eES4+0NFbscxIe6G6Tl8+YYreLqsiqe3nxz6AuMqezlnBrTxQC3feX4vjW1dfHvVTPJSE9yOZMLAV26exo4Tjfy/L+xDBD61oMBmjYUoewdg+vVPGw7yd+vKyEyM44X7l3HPNZPdjmTChNcj/PSO+czJT+W/PrOH2/9tC/urbQexUGQFwFzkz/tqeOSNCtYsLmT9/dcwe2Kq25FMmMlKiuc///5qfvTpuRyvb+OjP9/Mhr01bscyfVgBMB9Q03yebz27l7kFqfzjx+bYLl/mknk8wu2lhbz6jeuZW5DGt57Zw4mGdrdjmV7sr9u8x+dXvvrULrp9fn56x3x78jcjInV8LD9fMx8R+PK/76Srx+92JOOwv3ADBFb5/MnGd9l27Cz/+LHZTM5KdDuSiSCFGeN58NNz2V3VzI9ePOR2HOOwWUCGxrYuvvXsHl46UMsnF+Tz6YUFbkcyEWjFnDzuXFrEo5uOcay+jRkTUpg+IZnls3IZF+t1O15UsgIQ5bYcbeCr//EOZ9u6+H8+MpPPL5uMiE3ZM6Pjux+ZSY9fKTt+lr8crsPnV26dncvDf7vQ/t25wApAFNt0pI57fl1GQUYCj929iDn5NtvHjK5xsV7+/09eCUBnj4+HX6vgJy+/y/rd1ayel+9yuuhjYwBRakdlI2vX7WBKdiLPf3GZPfmbMRcf4+W+G6YyrzCN763fz5nWDrcjRR0rAFHoQHULn/vV2+SmxPObe5aQOj7W7UgmSsV4Pfzz7VfR3uXju8/vI5y2qI0EVgCiREtHN8+/U8XadWV84n+/SVJ8DL/9whKyk+Pdjmai3BU5SXzzlmlsPFDLP/7+APtONVshGCM2BhDhun1+fvXmMX768hHaunxMSBnHmsWTuOeayRSkj3c7njEA3HPNFPadamHdluP8+q3jTMoYz62zc1k+awILi9JtD4pRIuFUaUtLS7WsrMztGGHjrfJ6vrd+P0fOnOPmmTl88formF+YZgtzmZB1tq2LjQdOs2Hvad46Wk+3T8lIjONTC/K5/8YSUhOsu/JSiMgOVS296LgVgMiiqmwur+dfXy1n27GzFGYk8L3bZnPzrFy3oxkzLK0d3bz+bh1/2neaDXtryBgfxz+smM7tCwvtRcwwWQGIcD0+Py/ur+WRN46yu6qZ3JR41l43lb9ZMsk+ZGPC3r5TzXx//X7KKhu5IieJNYsn8cn5+aQnxrkdLSxYAYhQJ8+28+L+0/zqzeOcajpPUeZ4/v66qXxqYT7xMfbEbyKHqvKHPTX8cvMxdp9sIi7Gw8wJyTS2d9NwrpPkcbHcd+MV3LGokFivzW/pzQpAmPP5lVON56k820ZlQzuHT7fyZnk9FfVtACwuzuAL107mppm5NmBmIt7BmhaeevsER+vayEyKIzMxnj1VTZRVNlKUOZ7/cmMJt86ZQJJtYQpcZgEQkRXATwEv8EtV/UGf8+KcXwW0A59V1Z2DXSsiGcB/AMXAceAzqto4WI5ILACdPT72VDVT3XSe+BgP8bFe/H6ltqWT0y0dVDW2c6T2HEfOtNLR/f4qigmxXpZMyeC6kmyum5bNFTlJLj4KY9ynqvzl8Bke/PNhDp1uJc7r4eqpmdw0M4f5helMn5ActSvcXnIBEBEv8C6wHKgCtgNrVPVArzargC8TKABLgJ+q6pLBrhWRB4GzqvoDEXkASFfVbw2Wxe0CoKqc7/ZxrrOHcx09tHf5SIjzkpYQS2pCLAp0dPvo7PHjEWFcrIc4r4ejdW28dbSeLUcbaGzvIjE+hqT4GM60drLrZNOAy+OKQE5yPNNyk5mem0xJbhJFmYkUZY4nN3mcDYQZ0w+/X9l+/CwbD9Sy8WAtlc4eBHExHiZnJnK+20fz+W7OdfYQ6xXiY7wkxHpJT4wjKymOzMQ40sbHkZIQS1pCLEnjAn+vSfEx7/3tJsZ737sfDt1NAxWAYN4fLQbKVbXC+UFPAauBA73arAbWaaCabBWRNBHJI/DqfqBrVwPXO9c/AbwGDFoALtWPXjzEcztPvXdfAK9XiPUE/sed6+yhrbOHjh4/cV5P4Ik7xoPHWZzKr0p7p4+2rh78l9FjVpiRQH5aAg3nujjR0E7yuBjuWlrE4skZTMlOoqvHT0ePDwFyU8aRnRwfFv+4jAklHo+wZEomS6Zk8t2PzKSq8Ty7q5rYU9VMRd05EuNjSEuIJTE+Bp9f6ej20d7lC4wltHVS2dBOU3sXLR09Qf2++BjPB95ZCBDr9eD1CB4RLqxx1/t5x+MR+nv5pgQmdPT4FV+fJ5sff2YeV0/NvKT/JgMJpgDkAyd73a8i8Cp/qDb5Q1ybq6o1AKpaIyI5/f1yEVkLrAWYNGlSEHEvdkVOEteWZL1336+BVwndfkVV36vk42I9dPX46ezx09ntRwn8DxCE8b0qfuBVgJfxcTF0dPtoau+mqb0bjwQWu4qP9eD3Kx09fjq6fUxMTeDqqZkUZtgHr4wZSyJCYcZ4CjPGc9vcicO61udXWpx3ChdeJAa++zjX2c25Tt97x7p977+LV4Uevx9fnydxvwZ+ZuDJfeBNcWI8HmK8grdX8QBITxz5z0AEUwAGKlTBtAnm2kGp6iPAIxDoAhrOtRd8Yn4Bn5hva9wbY4Ln9QjpiXERPdU0mP6FKqCw1/0CoDrINoNdW+t0E+F8PxN8bGOMMZcrmAKwHSgRkckiEgfcAazv02Y9cJcELAWane6dwa5dD9zt3L4beOEyH4sxxphhGLILSFV7ROR+4EUCUzkfV9X9InKvc/5hYAOBGUDlBKaBfm6wa50f/QPgaRG5BzgB3D6ij8wYY8yg7INgxhgT4QaaBmpzDI0xJkpZATDGmChlBcAYY6KUFQBjjIlSYTUILCJ1QOUo/oosoH4Uf/5oCufsEN75Lbt7wjn/WGYvUtXsvgfDqgCMNhEp62+kPByEc3YI7/yW3T3hnD8UslsXkDHGRCkrAMYYE6WsAHzQI24HuAzhnB3CO79ld08453c9u40BGGNMlLJ3AMYYE6WivgCIyDwR2Soiu0SkTEQW9zr3bREpF5HDInKrmzkHIyJfdjLud7bavHA8XPJ/U0RURLJ6HQv57CLyIxE5JCJ7ROR5EUnrdS4c8q9w8pU727KGLBEpFJG/iMhB59/5V5zjGSKyUUSOON/T3c46EBHxisg7IvIH57772VU1qr+Al4CVzu1VwGvO7VnAbiAemAwcBbxu5+0n/w3Ay0C8cz8nzPIXElgtthLICrPstwAxzu0fAj8Ml/wEVuc9CkwB4py8s9zONUjePGCBczuZwF7js4AHgQec4w9c+H8Qil/A14HfAX9w7ruePerfARDYoSzFuZ3K+xvWrAaeUtVOVT1GYKnrxf1c77YvAj9Q1U4AVb2wsU645P8J8A98cKe4sMiuqi+p6oWNY7cS2PAIwiP/e3t9q2oXcGG/7pCkqjWqutO53QocJLDl7GoCe4rjfP+4KwGHICIFwEeAX/Y67Hp2KwDwVeBHInIS+Gfg287xgfY5DjXTgGtFZJuIvC4ii5zjIZ9fRD4GnFLV3X1OhXz2fnwe+JNzOxzyh0PGfolIMTAf2EafvcWBfvcWDwH/i8ALnd6bAbuePZg9gcOeiLwMTOjn1HeBm4CvqeqzIvIZ4DHgZkZgP+ORMkT+GCAdWAosIrDJzhRCJP8Q2b9DoBvlosv6ORZy/+1V9QWnzXeBHuDJC5f10z7UptuFQ8aLiEgS8CzwVVVtEenvYYQWEbkNOKOqO0TkepfjfEBUFABVvXmgcyKyDviKc/c/ef8tWjB7IY+JIfJ/EXhOAx2Jb4uIn8AaIyGRf6DsInIlgf7x3c4fcQGw0xmED4nsMPh/ewARuRu4DbjJ+X8AIZR/EOGQ8QNEJJbAk/+Tqvqcc7hWRPJUtSaE9xZfBnxMRFYB44AUEfktoZDd7YERt78I9CVe79y+Cdjh3J7NBwfyKgixgTwn573Af3duTyPwtl7CJX+vx3Gc9weBwyI7sAI4AGT3OR7y+Qm8+Ktw8l0YBJ7tdq5B8gqwDvhffY7/iA8OpD7odtYhHsf1vD8I7Hr2qHgHMIS/A34qIjFAB7AWQAP7Hj9N4A+8B7hPVX3uxRzQ48DjIrIP6ALu1sC/qHDJf5Ew+m//rwSe5Dc672K2quq94ZBfB9+vOxQtA+4E9orILufYdwjvvcVdz26fBDbGmChls4CMMSZKWQEwxpgoZQXAGGOilBUAY4yJUlYAjDEmSlkBMMaYKGUFwBhjopQVAGOMiVL/F+M7ZZjgRkY4AAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "np.random.seed(2)\n", "N_SAMPLES = 100000\n", @@ -182,9 +232,9 @@ "# Insert Code Here #\n", "####################\n", "\n", - "g_samples = None # Placeholder Value - Fill in the correct line\n", - "g_val = None # Placeholder Value - Fill in the correct line\n", - "g_err = None # Placeholder Value - Fill in the correct line\n", + "g_samples = g(x_samples,y_samples) # Placeholder Value - Fill in the correct line\n", + "g_val = np.mean(g_samples) # Placeholder Value - Fill in the correct line\n", + "g_err = np.std(g_samples) # Placeholder Value - Fill in the correct line\n", "\n", "####################\n", "\n", @@ -194,12 +244,11 @@ "plt.plot(bin_centers,counts)\n", "\n", "print(\"g(x) = %f +/- %f\" % (g_val, g_err))\n" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "## 2.1.3 Johnson Noise\n", "Let's apply this to something slightly more useful, such as measuring the Boltzmann constant. We can use Johnson Noise (the thermal noise across a resistor), which is defined by:\n", @@ -207,12 +256,13 @@ "$$\\frac{V^2}{4 T} = k_B R\\int_{0}^{\\infty} \\frac{g(f)^2}{1+ (2\\pi R C f)^2}$$\n", "\n", "Suppose we measured $g$ as a function of $f$, and we have some uncertainties on $R$ and $C$. Let's compute the total uncertainty on this complicated quantity\n" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, + "metadata": {}, + "outputs": [], "source": [ "frequency = np.array([ 200., 300., 400., 500., 600., 700., 800.,\n", " 900., 1000., 1100., 1200., 1300., 1400., 1500.,\n", @@ -255,13 +305,36 @@ " 7.31633110e-09])\n", "v2rmsd4t_uncertainty = np.array([1.25267830e-09, 1.46644504e-09, 1.08426579e-09, 1.77538860e-09,\n", " 2.07583938e-10])" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from scipy.integrate import trapz\n", "\n", @@ -288,13 +361,58 @@ "\n", "\n", "plt.errorbar(rgr, v2rmsd4t, yerr = v2rmsd4t_uncertainty, xerr= rgr_unc, fmt = 'o' )" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Model]]\n", + " Model(linear_model)\n", + "[[Fit Statistics]]\n", + " # fitting method = leastsq\n", + " # function evals = 15\n", + " # data points = 5\n", + " # variables = 2\n", + " chi-square = 2.18039779\n", + " reduced chi-square = 0.72679926\n", + " Akaike info crit = -0.14965290\n", + " Bayesian info crit = -0.93077707\n", + "[[Variables]]\n", + " k: 1.35619051 +/- 0.10412943 (7.68%) (init = 1)\n", + " b: 0.02921130 +/- 0.04566742 (156.33%) (init = 1)\n", + "[[Correlations]] (unreported correlations are < 0.100)\n", + " C(k, b) = 0.954\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from lmfit.models import Model\n", "\n", @@ -307,12 +425,11 @@ "result = lmod.fit(1e-15*rgr, x = v2rmsd4t*1e8, weights = 1/(rgr_unc*1e-15))\n", "print(result.fit_report())\n", "result.plot_fit()" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "----\n", @@ -329,27 +446,27 @@ "\n", "
\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\"drawing\"" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "- Measured on Earth, cataclysmic mergers change the length of a 4km LIGO arm by a thousandth of the width of a proton. \n", "- Strain is the instrument's detected space change within an arm in comparison to the total space (length) of the arm. \n", "- In the event of a detectable merger this strain data will form a \"gravitational wave signal\"." - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "
\n", @@ -374,25 +491,25 @@ "\n", "
\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "#### >>> QUESTION 2.2\n", @@ -404,18 +521,18 @@ "\n", "
\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "
\n", @@ -451,26 +568,26 @@ "***Synthesis (Inverse Discrete Fourier Transform)***\n", "- Can recompose signal with these coefficients.\n", "$$x[n] = \\sum\\limits_{k=0}^{N-1}X[k]e^{i\\frac{2\\pi k}{N} n}$$" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "- Notice that when we tightened our signal in time, we made it wider in frequency. This is a visual representation of the famous _uncertainity principle_! It arises in quantum mechanics because position and momentum obey the same Fourier relationship that time and frequency do above." - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "
\n", @@ -501,11 +618,11 @@ "- From instrumental artifacts\n", " - Seismic noise\n", " - \"Violin Modes\" from the suspension fibers of the LIGO mirrors. " - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "
\n", @@ -521,11 +638,11 @@ "\n", "\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "#### Whitening data\n", "- From the ASD above, we can see that noise fluctuations are much larger at low and high frequencies and near spectral lines. \n", @@ -540,11 +657,11 @@ "Example: Trasmitted power in one of the interferoeter arms with two large glitches with a frequency around 5-50Hz\n", "\n", "\n" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "#### Filtering\n", "- The amplification/attenuation of frequency components.\n", @@ -552,12 +669,13 @@ " - **Multiplication in the frequency domain**\n", " - A set of scale factors H() which is refered to as the frequency response of the system.\n", "\n" - ], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "#Import Packages\n", "import math\n", @@ -571,38 +689,38 @@ "from lib6003.fft import fft\n", "from lib6003.fft import ifft\n", "from scipy.io.wavfile import write" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "##### DFT Filtering\n", "- We can filter using DFT coefficients by scaling them appropriately." - ], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "#Noise-Free #3 \n", "wav_file_play('assets/audio/ocean_man_raw.wav')" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "###### Bass Boosting" - ], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "x,fs =wav_read('assets/audio/ocean_man_raw.wav')\n", "## x is the data, fs is the sampling frequency\n", @@ -622,20 +740,20 @@ "y = ifft(Y)\n", "# assert all(abs(i.imag) < 1e-12 for i in y)\n", "wav_play([i.real for i in y],fs)" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "###### Bass Isolation (Low Pass)" - ], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "x,fs = wav_read('assets/audio/ocean_man_raw.wav')\n", "N = len(x)\n", @@ -651,12 +769,11 @@ "y = ifft(Y)\n", "# assert all(abs(i.imag) < 1e-12 for i in y)\n", "wav_play([i.real for i in y],fs)" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "#### Signal Detection and Matched Filtering\n", "- If we have an unknown, noisy signal we can try to detect the presence of a known signal with matched filtering. \n", @@ -668,32 +785,35 @@ "\n", "\n", "\n" - ], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "#Noise-Free \n", "wav_file_play('assets/audio/ocean_man_raw.wav')" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "#Noise\n", "wav_file_play('assets/audio/ocean_man.wav')" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": { + "scrolled": true + }, + "outputs": [], "source": [ "#Read in Data\n", "data, samp_rate = wav_read('assets/audio/ocean_man.wav')\n", @@ -710,15 +830,13 @@ "plt.ylabel('Magnitude $|X(\\\\nu)|$', fontsize=14)\n", "plt.show()\n", "\n" - ], - "outputs": [], - "metadata": { - "scrolled": true - } + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "#Focus in on one set of conjuagte frequencies\n", "plt.plot(f,np.absolute(dft_cof))\n", @@ -728,13 +846,13 @@ "plt.xlabel('Frequency $\\\\nu $', fontsize=14)\n", "plt.ylabel('Magnitude $|X(\\\\nu)|$', fontsize=14)\n", "plt.show()" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "#Zoom in on artifact\n", "plt.plot(f,np.absolute(dft_cof))\n", @@ -744,13 +862,13 @@ "plt.xlabel('Frequency $\\\\nu $', fontsize=14)\n", "plt.ylabel('Magnitude $|X(\\\\nu)|$', fontsize=14)\n", "plt.show()" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "k_cut = int((990*N/samp_rate))\n", "# print(k_cut)\n", @@ -769,26 +887,24 @@ "\n", "plt.plot(f,np.absolute(freqs))\n", "plt.show()\n" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "ocean_fix = ifft(freqs)\n", "wav_play(ocean_fix,samp_rate)" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "" - ], - "metadata": {} + ] } ], "metadata": { @@ -810,9 +926,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 -} \ No newline at end of file +} diff --git a/Recitation3/Recitation_03_learner.ipynb b/Recitation3/Recitation_03_learner.ipynb index f0c7728..1671d50 100644 --- a/Recitation3/Recitation_03_learner.ipynb +++ b/Recitation3/Recitation_03_learner.ipynb @@ -76,7 +76,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -119,13 +119,43 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "#your code here" + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.errorbar(xi,yi,y_unc)" ] }, { @@ -148,7 +178,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -179,9 +209,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Model]]\n", + " Model(linear)\n", + "[[Fit Statistics]]\n", + " # fitting method = leastsq\n", + " # function evals = 6\n", + " # data points = 6\n", + " # variables = 2\n", + " chi-square = 4.23466092\n", + " reduced chi-square = 1.05866523\n", + " Akaike info crit = 1.90926274\n", + " Bayesian info crit = 1.49278168\n", + "[[Variables]]\n", + " slope: 1.93632021 +/- 0.10004787 (5.17%) (init = 1)\n", + " intercept: 0.27253202 +/- 0.42745210 (156.84%) (init = 0)\n", + "[[Correlations]] (unreported correlations are < 0.100)\n", + " C(slope, intercept) = -0.919\n" + ] + } + ], "source": [ "result = model.fit(yi, x=xi, weights=1/y_unc);\n", "\n", @@ -218,9 +271,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "result.plot();" ] @@ -276,7 +342,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -328,7 +394,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -338,9 +404,10 @@ "TRUE_K = np.pi\n", "TRUE_A = 1\n", "\n", - "x = np.linspace(-4 * np.pi, 4 * np.pi, 20)\n", - "y = #your code here\n", - "yerr = #your code here" + "x = np.linspace(0.1, np.pi, 20)\n", + "y = model_fn(x, TRUE_K, TRUE_A)\n", + "yerr = 0.4 * np.random.random(20) + 0.1\n", + "y = y + yerr" ] }, { @@ -374,13 +441,37 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import matplotlib.pyplot as plt\n", "\n", - "#your code here" + "plt.errorbar(x,y,yerr)\n", + "plt.plot(x,model_fn(x,TRUE_K,TRUE_A))" ] }, { @@ -410,7 +501,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -446,9 +537,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "ValueError", + "evalue": "operands could not be broadcast together with shapes (20,) (6,) (20,) ", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_7852/1940784996.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mweights\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0my_unc\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit_report\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m 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"\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/lmfit/minimizer.py\u001b[0m in \u001b[0;36m__residual\u001b[0;34m(self, fvars, apply_bounds_transformation)\u001b[0m\n\u001b[1;32m 585\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mAbortFitException\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mf\"fit aborted: too many function evaluations {self.max_nfev}\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 586\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 587\u001b[0;31m \u001b[0mout\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0muserfcn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0muserargs\u001b[0m\u001b[0;34m,\u001b[0m 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\u001b[0mweights\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mravel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mview\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfloat\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 784\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mweights\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 785\u001b[0;31m \u001b[0mdiff\u001b[0m \u001b[0;34m*=\u001b[0m \u001b[0mweights\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 786\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0masarray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdiff\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mravel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# for compatibility with pandas.Series\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 787\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (20,) (6,) (20,) " + ] + } + ], "source": [ "result = model.fit(y, params, x=x, weights=1/y_unc);\n", "\n", @@ -1298,7 +1409,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1312,7 +1423,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb b/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb index 3e1fe7a..c01490c 100644 --- a/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb +++ b/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb @@ -66,10 +66,12 @@ "\n", "a) So, we assume that $y_i$ is a random variable with mean $f(x_i)$, and variance $\\sigma_i^2$. Given this, what is the probability distribution for $y_i$?\n", "\n", + "\n", + "\n", "b) Given the answer to (a), and assuming that the probability distributions for each of the $y_i$ are independent, what is the joint probability distribution?\n", "\n", "\n", - "\n", "\n", "
\n", "" @@ -181,7 +184,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -192,9 +195,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# model\n", "pred = np.genfromtxt('chisq_model.txt', delimiter=',') # read in file\n", @@ -224,7 +240,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -234,9 +250,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "data1 = np.loadtxt('chisq_data1.txt', delimiter=',') # read in file\n", "plt.xlim(-1,1)\n", @@ -264,9 +293,23 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.026354236990057164", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_8001/2074271393.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mchi2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mchisquare\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpred_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Chi-squared:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mchi2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Probability: {:.4%}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#a bit dodgy!\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mchisquare\u001b[0;34m(f_obs, f_exp, ddof, axis)\u001b[0m\n\u001b[1;32m 6850\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6851\u001b[0m \"\"\"\n\u001b[0;32m-> 6852\u001b[0;31m return power_divergence(f_obs, f_exp=f_exp, ddof=ddof, axis=axis,\n\u001b[0m\u001b[1;32m 6853\u001b[0m lambda_=\"pearson\")\n\u001b[1;32m 6854\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mpower_divergence\u001b[0;34m(f_obs, f_exp, ddof, axis, lambda_)\u001b[0m\n\u001b[1;32m 6692\u001b[0m \u001b[0;34mf\"of {rtol}, but the percent differences are:\\n\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6693\u001b[0m f\"{relative_diff}\")\n\u001b[0;32m-> 6694\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6695\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6696\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.026354236990057164" + ] + } + ], "source": [ "chi2,p = chisquare(data1,pred_y)\n", "print(\"Chi-squared:\",chi2)\n", @@ -290,9 +333,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "data2 = np.loadtxt('chisq_data2.txt', delimiter=',') # read in file\n", "plt.xlim(-1,1)\n", @@ -305,9 +361,23 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.04285714285714286", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_8001/1578477463.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mchi2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mchisquare\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpred_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Chi-squared:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mchi2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Probability: {:.2%}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#quite consistent!\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mchisquare\u001b[0;34m(f_obs, f_exp, ddof, axis)\u001b[0m\n\u001b[1;32m 6850\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6851\u001b[0m \"\"\"\n\u001b[0;32m-> 6852\u001b[0;31m return power_divergence(f_obs, f_exp=f_exp, ddof=ddof, axis=axis,\n\u001b[0m\u001b[1;32m 6853\u001b[0m lambda_=\"pearson\")\n\u001b[1;32m 6854\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mpower_divergence\u001b[0;34m(f_obs, f_exp, ddof, axis, lambda_)\u001b[0m\n\u001b[1;32m 6692\u001b[0m \u001b[0;34mf\"of {rtol}, but the percent differences are:\\n\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6693\u001b[0m f\"{relative_diff}\")\n\u001b[0;32m-> 6694\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6695\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6696\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.04285714285714286" + ] + } + ], "source": [ "chi2,p = chisquare(data2,pred_y)\n", "print(\"Chi-squared:\",chi2)\n", @@ -331,9 +401,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "data3 = np.loadtxt('chisq_data3.txt', delimiter=',') # read in file\n", "plt.xlim(-1,1)\n", @@ -346,9 +429,23 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.014609913484252897", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/s1/03rftstj2s96t6zy10c1dwpm0000gn/T/ipykernel_8001/2285225766.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mchi2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mchisquare\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata3\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpred_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Chi-squared:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mchi2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Probability: {:.2%}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#too consistent...\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mchisquare\u001b[0;34m(f_obs, f_exp, ddof, axis)\u001b[0m\n\u001b[1;32m 6850\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6851\u001b[0m \"\"\"\n\u001b[0;32m-> 6852\u001b[0;31m return power_divergence(f_obs, f_exp=f_exp, ddof=ddof, axis=axis,\n\u001b[0m\u001b[1;32m 6853\u001b[0m lambda_=\"pearson\")\n\u001b[1;32m 6854\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mpower_divergence\u001b[0;34m(f_obs, f_exp, ddof, axis, lambda_)\u001b[0m\n\u001b[1;32m 6692\u001b[0m \u001b[0;34mf\"of {rtol}, but the percent differences are:\\n\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6693\u001b[0m f\"{relative_diff}\")\n\u001b[0;32m-> 6694\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6695\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6696\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.014609913484252897" + ] + } + ], "source": [ "chi2,p = chisquare(data3,pred_y)\n", "print(\"Chi-squared:\",chi2)\n", @@ -393,7 +490,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -427,7 +524,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -614,7 +711,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -628,7 +725,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.6" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation5/Recitation_05_learner.ipynb b/Recitation5/Recitation_05_learner.ipynb index 66fe5cf..7c38d24 100644 --- a/Recitation5/Recitation_05_learner.ipynb +++ b/Recitation5/Recitation_05_learner.ipynb @@ -98,10 +98,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "50b29b46", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "NUMBER_SINES_TO_ADD = 10\n", "\n", @@ -253,13 +289,13 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "2d762c97", "metadata": {}, "outputs": [], "source": [ - "t_before = #your code here\n", - "t_after = #your code here" + "t_before = 1\n", + "t_after = 1" ] }, { @@ -319,7 +355,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "fcad984e", "metadata": {}, "outputs": [], @@ -336,7 +372,13 @@ "}\n", "\n", "def model_and_random_parameters(t, delta_t):\n", - " #your code here" + " model = Model(complicated_model_fn)\n", + " params = Parameters()\n", + " params.add('time',value=t,vary=False)\n", + " for p, (p_min,p_max) in params_min_max.items():\n", + " value = p_min + (p_max-p_min)*np.random.random(1)\n", + " params.add(p,min=p_min,max=p_max,value=value)\n", + " return model, params" ] }, { @@ -365,7 +407,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "9210f898", "metadata": {}, "outputs": [], @@ -374,7 +416,7 @@ " data_indices = np.where((xi > t - t_before) & (xi < t + t_after))\n", " data_x = xi[data_indices]\n", " data_y = yi[data_indices]\n", - " model, params = model_and_random_parameters(t)\n", + " model, params = model_and_random_parameters(t,1)\n", " result = model.fit(data_y, params, x=data_x)\n", " return result" ] @@ -406,12 +448,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "c17dd02d", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "

Model

Model(complicated_model_fn)

Fit Statistics

fitting methodleastsq
# function evals41
# data points20
# variables6
chi-square 0.99857483
reduced chi-square 0.07132677
Akaike info crit.-47.9431692
Bayesian info crit.-41.9687756

Variables

name value initial value min max vary
time 0.00000000 0 -inf inf False
lambda_plus 4.89137676 [4.74686302] 0.10000000 5.00000000 True
lambda_minus 0.15828433 [1.73004565] 0.10000000 5.00000000 True
max_amp 1.0658e-13 [0.26925915] 0.00000000 2.00000000 True
omega_0 0.02367971 [3.66804476] 0.00000000 5.00000000 True
omega_max 3.64233381 [2.20775126] 0.00000000 10.0000000 True
omega_sigma 1.46601992 [3.09416592] 0.00000000 5.00000000 True
" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "#your code here" + "fit_once(0)" ] }, { @@ -450,29 +506,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "ee789178", "metadata": {}, "outputs": [], "source": [ - "from multiprocessing import Pool\n", - "\n", "NUM_FITS = 6\n", - "\n", - "def fit(t, pool):\n", - " results = pool.map(fit_once, np.full(NUM_FITS, t))\n", + "def fit(t):\n", + " results = [fit_once(t) for t in np.full(NUM_FITS,t)]\n", " min_result = None\n", " min_chisq = None\n", " for result in results:\n", " if min_chisq is None or min_chisq > result.chisqr:\n", " min_result = result\n", " min_chisq = result.chisqr\n", - " return min_result\n", - "\n", - "with Pool(6) as pool:\n", - " result = fit(TIME_TRUE, pool)\n", - "print(result.fit_report())\n", - "result.plot();" + " return min_result" ] }, { @@ -512,16 +560,67 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "04b4106b", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-100\n", + "-95\n", + "-90\n", + "-85\n", + "-80\n", + "-75\n", + "-70\n", + "-65\n", + "-60\n", + "-55\n", + "-50\n", + "-45\n", + "-40\n", + "-35\n", + "-30\n", + "-25\n", + "-20\n", + "-15\n", + "-10\n", + "-5\n", + "0\n", + "5\n", + "10\n", + "15\n", + "20\n", + "25\n", + "30\n", + "35\n", + "40\n", + "45\n", + "50\n", + "55\n", + "60\n", + "65\n", + "70\n", + "75\n", + "80\n", + "85\n", + "90\n", + "95\n" + ] + } + ], "source": [ "results = []\n", "delta_t = 1\n", - "ts = np.arange(-10, 10, delta_t)\n", + "ts = np.arange(-100, 100, delta_t)\n", "\n", - "#your code here" + "#your code here\n", + "for t in ts:\n", + " if t%5==0:\n", + " print(t)\n", + " results.append(fit(t))\n" ] }, { @@ -552,12 +651,56 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, + "id": "500efbb5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-100, -95, -90, -85, -80, -75, -70, -65, -60, -55, -50, -45, -40, -35, -30, -25, -20, -15, -10, -5, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95]\n" + ] + } + ], + "source": [ + "tss = [5*i-100 for i in range(40)]\n", + "print(tss)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, "id": "eb9d3b96", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "#your code here" + "#your code here\n", + "amps = [r.params[\"max_amp\"] for r in results]\n", + "plt.plot(tss,amps)" ] }, { @@ -889,7 +1032,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -903,7 +1046,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation6/Recitation_06_v2.ipynb b/Recitation6/Recitation_06_v2.ipynb index 36db1c6..02029b9 100644 --- a/Recitation6/Recitation_06_v2.ipynb +++ b/Recitation6/Recitation_06_v2.ipynb @@ -134,12 +134,12 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 2, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -187,14 +187,14 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -208,9 +208,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[8.01324880e-02 3.50338774e-01 1.98229282e-01]\n", - " [3.50338774e-01 8.52112553e+02 4.28282058e+02]\n", - " [1.98229282e-01 4.28282058e+02 2.15559700e+02]]\n" + "[[ 8.62283781e-02 -1.40897173e+00 -7.11736423e-01]\n", + " [-1.40897173e+00 8.56607690e+02 4.27363506e+02]\n", + " [-7.11736423e-01 4.27363506e+02 2.13526114e+02]]\n" ] } ], @@ -251,11 +251,34 @@ "* The function cor_ij which returns the correlation coefficient of datasets $x_i$ and $x_j$, i.e. $\\rho_{i,j}$
\n", "Design your functions such that they take in 2-3 parameters, those being the covariance matrix $M$ and the indices requested." ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def std_i(M,i):\n", + " return np.std(M[i])\n", + "\n", + "def cov_ij(M,i,j):\n", + " return np.cov(M[i],M[j])\n", + "\n", + "def cor_ij(M,i,j):\n", + " return cov_ij(M,i,j) / (std_i(M,i) * std_i(M,j))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -269,7 +292,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation7/Recitation_07_learner_soln.ipynb b/Recitation7/Recitation_07_learner_soln.ipynb index 18c2d71..953ff09 100644 --- a/Recitation7/Recitation_07_learner_soln.ipynb +++ b/Recitation7/Recitation_07_learner_soln.ipynb @@ -100,7 +100,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -116,28 +116,28 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[ 5 53 2 73 59 91 32 33 54 82 75 32 50 90 5 39 83 89\n", - " 95 67 14 18 87 86 57 86 8 34 41 69 24 96 9 77 1 21\n", - " 40 84 21 15 50 94 48 63 58 100 62 93 6 43 94 40 100 20\n", - " 68 27 40 61 91 84 13 3 64 5 49 35 67 48 61 64 50 12\n", - " 41 37 12 68 53 21 17 13]\n", - "[ 85 98 79 31 49 59 32 5 28 64 58 35 45 78 17 69 24 37\n", - " 19 93 78 57 97 82 48 65 93 97 6 5 65 44 25 78 63 57\n", - " 12 28 94 18 14 2 41 67 48 10 36 49 34 79 45 89 6 14\n", - " 65 9 88 69 7 19 35 100 76 80 85 78 8 56 87 5 10 5\n", - " 21 4 84 76 78 27 71 75]\n", - "[ 23 24 36 85 25 80 95 42 57 58 20 14 6 58 18 9 10 5\n", - " 100 93 8 25 96 51 96 13 48 94 60 29 83 91 50 97 76 35\n", - " 75 10 52 90 59 30 20 36 60 42 85 4 94 63 5 16 96 99\n", - " 19 58 96 57 40 23 32 49 47 1 57 40 50 22 14 38 30 88\n", - " 64 46 6 38 92 11 3 43]\n" + "[ 79 36 84 65 34 52 27 57 45 67 49 40 13 42 8 88 30 15\n", + " 98 9 81 35 59 88 17 40 54 60 97 44 99 33 11 34 57 18\n", + " 100 53 83 43 33 40 37 76 5 1 91 44 62 89 45 53 8 26\n", + " 75 87 73 75 82 33 7 21 76 28 56 71 6 21 88 14 71 11\n", + " 34 48 49 28 28 63 29 47]\n", + "[ 4 39 37 58 99 27 80 82 49 54 21 54 63 33 12 20 10 16\n", + " 55 46 15 85 66 72 15 54 65 23 27 98 45 89 50 97 54 14\n", + " 83 45 2 33 67 46 10 59 24 62 76 33 29 38 100 3 20 90\n", + " 7 33 55 21 78 16 93 5 20 20 71 51 77 54 13 5 10 96\n", + " 11 45 56 41 77 75 35 98]\n", + "[ 33 7 34 68 32 17 20 1 13 8 92 31 69 74 91 30 11 44\n", + " 52 4 100 84 75 86 57 61 95 58 82 59 90 85 9 53 24 80\n", + " 48 27 84 71 69 70 67 13 71 18 98 53 92 34 3 77 49 49\n", + " 24 60 33 28 65 46 37 17 68 13 33 89 82 48 20 16 55 6\n", + " 56 66 8 59 23 34 97 48]\n" ] } ], @@ -152,6 +152,13 @@ "print(z)" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "markdown", "metadata": {}, @@ -663,7 +670,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -677,7 +684,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.1" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation8/Recitation_08_v2.ipynb b/Recitation8/Recitation_08_v2.ipynb index 601d12d..f3a215a 100644 --- a/Recitation8/Recitation_08_v2.ipynb +++ b/Recitation8/Recitation_08_v2.ipynb @@ -120,6 +120,39 @@ "Using the function above, plot out the probability distribution of $p$ for $N=20,$ $m=15$." ] }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "P = np.linspace(0,1)\n", + "plt.plot(P,with_uniform_prior(P,20,15))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -132,6 +165,41 @@ "* $N$=4, $m$=3" ] }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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TpgVdhbfMPTD7UWjZD3rc6DqNCgRNzoSYGkHZj64FXYUvY+Dze+2oht89BxH646Cwm5e06BuU/ej6HazC16ppdjGmcx+1u78rdUxifzi8GTLSXCc5JVrQVXjKPggzH4AmyXZpXKXKShxg74Os20ULugpPMx+wOxGNeN7uK6lUWQlJUD0+6LpdtKCr8LNuhu1u6f8AJHR0nUYFIhFo1d+OfgqiXYy0oKvwkpsOn90DDTrD2fe4TqMCWWJ/yNoHB9a5TuIxLegqvHzxKGQfsF0tkdGu06hAFoT96FrQVfjY/I2dRNTnTmh8hus0KtDVbg51WgVVP7oWdBUe8o/C9HFQrw0MeMh1GhUsEvvbjcKLi1wn8YgWdBUevnwMMnbCiBchuprrNCpYJA6AgqOw+0fXSTyiBV2Fvq3fQeorcNbt0LyX6zQqmLQ8x94HST+6FnQV2vKz7P6gdRPtjFClTkX1etCwa9D0o2tBV6Htq8chfQeMeAFiYl2nUcEosT+kLQ6Kbem0oKvQte17WPwS9LoNWvRxnUYFq2Pb0u1Y4DpJhTwq6CIyVETWi8gmEfnNEAERuUZEVpTefhCRbt6PqtQpKMiBT+6wO7kP+rPrNCqY/bwt3VzXSSoUVdEBIhIJvAAMAdKAJSIy3RizpsxhW4H+xpgjIjIMmAjo1Sflztd/gyNb4YbPIKa66zQqmMVUh2a97DIAAc6TFnoKsMkYs8UYUwBMBUaUPcAY84Mx5kjpw4VAU+/GVOoU7FgIC8dDz1ugVT/XaVQoaHk27F1pF3QLYJ4U9CbAzjKP00o/dyI3AzPLe0JERotIqoikHjhwwPOUSnmqIAc+vh3imsHgv7pOo0JFsxQwJbBrqeskJ+VJQS9vx9xylx8TkYHYgv5gec8bYyYaY5KNMcnx8fGep1TKU1/91W5McPELdgd3pbyhaTIgsHOx6yQnVWEfOrZF3qzM46bA7uMPEpGuwCRgmDHmkHfiKXUKtn4HiyZAym3Q6hzXaVQoqRpn10jfuch1kpPypIW+BGgrIq1EJAYYBUwve4CINAc+BK4zxmzwfkylKpB/FD6+A+q2hsF/cZ1GhaJmKZC2BEpKXCc5oQoLujGmCBgLzAbWAu8ZY1aLyBgRGVN62J+BesCLIrJMRFJ9llip8sx+BDLT4OLxOoFI+UazXpCfGdDro3vS5YIxZgYw47jPTSjz8S3ALd6NppSHNs6BH9+AvnfpWi3Kd5ql2Pu0xdAgyW2WE9CZoiq45R6B6WMhviMMeNh1GhXK6iZCbP2AvjDqUQtdqYA18yHI2g9XTYHoqq7TqFAmYrtdAvjCqLbQVfBa+xmsmArn/EF3IFL+0SwFDm2C7MAcyKcFXQWnrAPw2d12adNz7nedRoWLsv3oAUgLugo+xsD0O+007Esm6mbPyn8anwERUQHb7aJ96Cr4/PgGbJgJQ5+EhI6u06hwEl0NGnUL2Auj2kJXweXQZpj1sF2jOuU212lUOGrWy67pUlzoOslvaEFXwaO4CD4cbbtYLh4PEfrtqxxolgJFebB3heskv6E/ESp4zHsadqXChf+BWo1dp1HhqmnphdEA7HbRgq6CQ1oqfPsv6HoldL7EdRoVzuKa2OWZA/DCqBZ0FfgKsm1XS63GMPzfrtMoZbtdtIWuVCXMfgQOb4GRE+wypkq51qwXZO6CjDTXSX5FC7oKbOs+h6WvQZ877TZgSgWCYxOMAqzbRQu6ClwZu+CTO6BRdzj3T67TKPWLBp0hOjbgul20oKvAVFJs+82LCuCyVyEqxnUipX4RGQ1NztQWulIemfcMbJ8PFzwD9Vq7TqPUbzVLgT0r7EX7AKEFXQWe7Qtg7hN2iGL3q1ynUap8zXqBKYbdP7lO8jMt6Cqw5B6BabdA7RYw/GnXaZQ6saY97X0Adbvo4lwqcBgD08dB1l64+QuoWst1IqVOLLYu1G8XUBdGtYWuAsfS12DtdBj0mL3gpFSga5ZiW+jGuE4CaEFXgWLfGpj1R2g9CHqPdZ1GKc80TbHdhIe3uE4CaEFXgSD/KLx3PVSpZWeD6iqKKlgc2/pwzzKnMY7Rnxzl1rHdhw5vhstfgxoJrhMp5bn4DhAZA7uXuU4CaEFXri1+GVZ/ZGeC6tR+FWyiYiAhCfYsd50E0IKuXEpLhdkPQ7uh0Pdu12mUqpzG3W1BD4ALo1rQlRs5h+G9G6BWI919SAW3Rt0gLx3St7tOogVdOVBSYtdpyd4Pl79hx/MqFawadbP3AdDtogVd+d/8Z2DTlzD0CWjSw3UapU5PQieIiAqIC6Na0JV/bZkL3/wTulwOyTe7TqPU6YuuCvEdtYWuwsyRbfD+jVCvLVz4LIg4DqSUlzTuFhAXRrWgK//Iz4Kp14ApgaumQJUarhMp5T2NukPOQbstnUNa0JXvGQOf3A7719jNKnR9cxVqAuTCqBZ05XvznoY1n8Dgv0Kbwa7TKOV9DTqDRDi/MKoFXfnW+pnw9T+gyxV2o2elQlFMLNRvry10FcIOrIdpt0KjrvC75/QiqAptjbppQVchKjcdplxlh3SNmgzR1VwnUsq3Gne3m7Mc3essghZ05X3FhfDBTZC+A654C+Kauk6klO8FwIVRLejKu4yBz++DzV/BBc9Ai96uEynlHw27ABL4BV1EhorIehHZJCIPlfN8BxFZICL5InK/92OqoPH9s/DjG3D2vXDmDa7TKOU/VWpCvTZOR7pUWNBFJBJ4ARgGJAFXiUjScYcdBsYBuk17OFv1Icz5C3S+1K5vrlS4cXxh1JMWegqwyRizxRhTAEwFRpQ9wBiz3xizBCj0QUYVDHYshI/GQPPeMOJFXQ5XhafG3SEzDbIPOnl7T37qmgA7yzxOK/3cKROR0SKSKiKpBw4cqMxLqEB0aLMd0RLXtHRES1XXiZRy4+cLo8ucvL0nBb28wcOVWoHGGDPRGJNsjEmOj4+vzEuoQJN9CN65zI4xv+Z9XdtchbeGXe29o26XKA+OSQOalXncFNjtmzgqqBTkwNSrIGMX3PCprtGiVLXaUKeVswujnrTQlwBtRaSViMQAo4Dpvo2lAl5RAbx3HaQtgUsmQvNerhMpR3ILipm+fDevf78VEwD7ajrn8MJohS10Y0yRiIwFZgORwKvGmNUiMqb0+Qki0hBIBWoBJSJyN5BkjMn0XXTlTEkxfDQaNs2Bi56DThe7TqT8rLjEsGjLIT78aRezVu0lK78IgD2ZefxxWEfH6Rxr3B3WfAy5R6BaHb++tSddLhhjZgAzjvvchDIf78V2xahQZwx8djes/giG/E3HmoeZtCM5vLVgO58s283ezDxqVIliWOeGjOzRhBkr9/DSt1uIr1GFW/oluo7qTtkZo4kD/PrWHhV0pQBbzL/8E/z4JvS7H/qOc51I+VF2fhGjJi5kb0Ye/dvF8+iFHRncsQFVoyMB6NWqHoeyCvj752uJr1mFEd0rNRgu+DXqbu+1oKuANu8Z+OF/0PNWOPdR12mUnz0xcy270nN577be9Gz529FMkRHCf67szuHsxdz//nLqxMZwTrswHM0WWxfimju5MKqzP5RnFr8MX//Nrms+7F+6FG6Ymb/xIG8v3MHNfVuVW8yPqRodycs3JNMmoSZj3l7K8p3p/gsZSBp1dXJhVAu6qtjS12HGH6DdMLhYZ4GGm6N5hTw4bQWJ9atz//ntKzy+VtVo3vh9T+pWj+H3ry9h68FsP6QMMI26w+HNkOffcSH6k6lObvHL8Old0GYQXP46REa7TqT87J8z1rEnI5d/X97t5/7yiiTUqsqbN6UAcN0ri8jICbNVQRp3t/d7V/j1bbWgqxNbOAFm3G9b5jqlPyx9t+EAUxbv4NZ+iZzZ4tSG4CXG12DSDcmkHcnllflbfJQwQDXsYu/3rfbr22pBV+X74X8w60HocCFc8SZEVXGdSPlZZl4hD01bQev46twzpF2lXqNH8zoM69yQ177fRkZuGLXSazSwY9D3r/Hr22pBV7817xn44lFIuth2s0TFuE6kHPjHZ2vZm5nHM1d097irpTxjz23D0fwi3vhhm/fCBToRSEiC/Wv9+rZa0NWvzX0KvnoculwOl76ifeZhau76/bybupPb+reme7Pap/VanRrHMbhjA16Zv5WjeWHUSk/oaAu6H5dD0IKurJISmP0IzP0ndLsaRr4EkTpNIRzlFhTz8IcraZtQg7sHt/XKa44b1IaM3ELeXLDdK68XFBKSID8TMtL89pZa0BUU5cOHt8CC5+2koREvQETl/8RWwe3V77eyOyOPf4zsQpUo73wfdG1am4Ht45k0bwvZpeu+hLyE0o3d/NjtogU93OWmw9uXwqppMPivMPzfOs48jB3Mymf83M0MSWpASivvrm1/56C2HMkp5O2FYdJKT+hg7/14YVR/csNZxi54bZjdPu6Sl+Hsu3UGaJh77quN5BYW89CwDl5/7R7N69CvbX1enreF3IJir79+wKlWB2o21ha68oN9a+CVIZC+E679ALpe4TqRcmzLgSwmL9rBVSnNaB1fwyfvMW5QWw5mFTB58Q6fvH7AaZAE+/03Fl0Lejja8i28OtSua37TTL+vCKcC079mradKVAR3DarcmHNP9GxZl96J9Zjw7WbyCsOglZ7QEQ5sgGL/XDfQgh5OjIEfnoe3RkKtRnDLl7/MaFNhLXXbYWat3stt/VsTX9O3k8jGDWrLgaP5vLtkZ8UHB7uEJCjOhyNb/fJ2WtDDRUE2TLsFvngEOgyHW+ZA7eauU6kAYIzhnzPWklCzCrf0a+Xz9zsrsS4pLesyfu5m8otCvJWeULp7k58ujGpBDweHt8Ir59mRLIP+DFe8BVVquk6lAsSsVXv5cUc6953XjtgY3889EBHGDWrL3sw83kv13xhtJ+q3B8RvF0a1oIe6jXNg4gA7ueGaD6DffTqSRf2soKiEp2ato12DGlx2ZjO/vW/fNvVIblGHF77eFNp96TGxUDfRb4t0aUEPVSXF8O2/4J3LIK4pjJ4LbQe7TqUCzORF29l2KIc/DutIZIT/ftGLCPed1569mXlMXhTiI16OLQHgB1rQQ9GRbfDacPjmH9DlMrj5C6jr+75RFVwycgp57utN9GldjwHt/b9VXO/W9ejTuh4vzt1ETkEIzx5NSLKbXRTm+fyttKCHEmPgp7dhfF97EWbkRDthKKa662QqAP3109Vk5BbyyAUdEUfdcPed146DWQW88UMIzx5N6AimBA5u8PlbaUEPFdmH4N1r4ZM77PZX//c9dLtS+8tVub5cs48Pf9rFHQPb0KlxnLMcZ7aoy4D28bz03ebQXYmxQSd774duFy3ooWDjlzC+N2yYDUMehxum65BEdULpOQU8/NFKOjaqxdiBbVzH4b4h7UnPKeTV+dtcR/GNuokQGeOXGaNa0INZ5m54/0Z74bNaXRj9DfS9S1dKVCf1l+mrOZJdwNOXdyUmyn0J6NI0jvOSGjBp3hbScwpcx/G+yGio305b6OoEigvtjM/ne8K6GTDgYTuKRWd9qgrMWrWXj5ft5s5z2zrtajnevee1I6ugiJfnhejeo34a6aIFPdhs/wFeOsfO+GzRF+5YBAMe1A2cVYUOZxfw6Mcr6dS4FrcPbO06zq90aFiLC7o04rXvt3EoK991HO9LSIKMnZCX6dO30YIeLDLS4KMxdrnb/CwYNRmufleHIyqPPTbdjmp55opuREcG3o/+3YPbkVdYzIRvN7uO4n3HNrs4sM6nbxN4X1X1a0f3wcwH4bkzYGXpTM87FkGHC3QEi/LYjJV7+HT5bu4a1JYODWu5jlOuNgk1GHlGU95csJ19mb4fs+1Xx9Z08fGMUS3ogSrnMHz5Z/hvN1j8MnQbBeN+tGuxxMS6TqeCyP6jefzp41V0aRLHmP6B1dVyvLsGtaW4xPDEjLUYP26u7HNxzSCmhs/70XUX4ECTcxgWTYAFL0JBlt14ov+DUC+wfxBVYNqdnsu1rywiu6CIZ67oRlQAdrWU1bxeLGPPbcOzczbSsVEtbgvwX0Aei4iA+A4+X3VRC3qg2LsKFr8EK96DojxIGmFHryR4fyswFR62Hszm2kmLyMwt5K2be9GuQXCssDnu3LZs3J/Fk7PWkRhfgyFJDVxH8o4GSXZUmg9pQXepuAjWfw6LJsL2+RBVzXatpNxmv/hKVdLaPZlc98piSoxhyuiz6NwkcIYoViQiQnjm8m6kHc7hrqk/8f6Y3gE1xLLSEpLgxzchaz/USPDJWwT231+h6uBGmPuk7R9/73rI2AFD/gb3roGL/qvFXJ2WpduPcOVLC4iOFN67rXdQFfNjqkZH8vL1ycRVi+bWN1LZfzQELpL6YbMLLej+kr4D5j8LE/rB88m2oNdvY4cfjlsGfcdBbF3XKVWQm7/xINdOWkTd6jG8P6Y3bRJ8s9mzPyTUqsrL1ydzJKeQW99cGvzrph8buujDC6Pa5eIrxtgv3OavYe102LnIfr5JMgx9EpIutvt6KuUFeYXFTFm8gydmrCMxvjpv3pxCQs3gn2zWuUkcz47qzpi3l/KHD1bw3KjuzlaGPG01EiC2vk9b6FrQvSlzN2yZ+8sta5/9fIPOMOgx6HwJ1GnpLp8KOUfzCnln0Q4mzdvKwax8+rSux/hrziQuNtp1NK85v1NDHji/A0/NWkf9GjHcd157alQJ0tLl4yUAgvR/JQDkH4U9K2DPMtizHHb9CIc22udi60PiAGg9EFr1h9r+29pLhYfD2QW8/v1WXv9hG5l5RfRrW587Bp5Br1Z1g7cFexJj+ieSdiSH177fxrSladzQpyU39mlJvRpVXEc7NQlJsOwdKCmxQxm9zKOCLiJDgf8CkcAkY8yTxz0vpc8PB3KAG40xP3o5q/8ZA9kH7CbLR7ba+0ObbAE/tAkonfhQs5Fdg7zH9baIJ3TyyRdLha+8wmLW7Mlk1a4Mlu1MZ+bKveQWFnN+pwbcMbANXZvWdh3Rp0SEf4zswuXJzRg/dxP/+3oTL8/bwqiezbn1nESa1K7mOqJnEjra+SUZO6FOC6+/fIUFXUQigReAIUAasEREphtjynYEDQPalt56AeNL7wOHMXZ8d0H2L7fCHMhLh+yDtnBnH4Cs0vuje20RL8gq8yJi9+ds2NVO+GnUHRp1g5ohMk5WOVFUXEJGbiHpuYWk5xSSkVtAek4hh7MLWL/3KCt3ZbBxfxbFJbYBUa96DMO6NOT/+rembZCMLfeW7s1q89J1yWzaf5QJ327h7YXbeXvhdoYkNaBNQg0axVWjUe2qNC69r1U1wLqeyl4YdVHQgRRgkzFmC4CITAVGAGUL+gjgTWPn6i4Ukdoi0sgYs8fbgVfMnUbcd48hx1rHGI79gSkYIk0xkfxyizLFRFJEDIVEUnLS1y4gmnSJI11qcziiNnsiBrK7SkN2RzRkT0Qj9kY0oNBEwx7sDYB1pTcVik40+fz4aenmuAclxmCw7QiDoaTE/pvCEkNhcQlFxYaC4hKKiksoOckM93rVY+jcJI7BHRvQpWkcXZrE0Siuakh2q5yKNgk1efrybtw7pB0vz9vC7FV7mb1672/+L2NjIqkSFUFkRARREUJkhBAVKUSK/GoppLL/n778n401OXwCLF48n5T2Q73++p4U9CbAzjKP0/ht67u8Y5pQpuwBiMhoYDRA8+aV21EnpnocB2MTj70iYEv6sa9jiURSLFGUUHovtrQXRFShQKqSH1GN/NL7goiq5EbU4GhkHY5G1iYvIvaEC15VBVpWKrEKdnKiH3E58cOI0oIhpR8j9j46UoiOjCAqIoLoKCE6IoLoyAjiqkVROzaGuNhoaleLpk5sDLVjo4mrFh32xftkGteuxmMXdeKxizpRVFzCvqP57EnPZXdGHnvSc9l/NN/+Ai0xFBcbe19iH/9c+8v8EjAn/BXuLTVYzGAi4pr65NU9KejlfTcdf9aeHIMxZiIwESA5OblS/3Mdeg6GnoMr80+VUiEsKjKCJrWrBUF/+jSfvbInV+7SgLLDNJoCuytxjFJKKR/ypKAvAdqKSCsRiQFGAdOPO2Y6cL1YZwEZvug/V0opdWIVdrkYY4pEZCwwGzts8VVjzGoRGVP6/ARgBnbI4ibssMXf+y6yUkqp8ng0Dt0YMwNbtMt+bkKZjw1wh3ejKaWUOhU6+0UppUKEFnSllAoRWtCVUipEaEFXSqkQIa521haRA8D2Sv7z+sBBL8YJBnrO4UHPOTyczjm3MMbEl/eEs4J+OkQk1RiT7DqHP+k5hwc95/Dgq3PWLhellAoRWtCVUipEBGtBn+g6gAN6zuFBzzk8+OScg7IPXSml1G8FawtdKaXUcbSgK6VUiAjogi4iQ0VkvYhsEpGHynleROS50udXiEgPFzm9yYNzvqb0XFeIyA8i0s1FTm+q6JzLHNdTRIpF5DJ/5vMFT85ZRAaIyDIRWS0i3/o7o7d58L0dJyKfisjy0nMO6lVbReRVEdkvIqtO8Lz365cxJiBv2KV6NwOJQAywHEg67pjhwEzsjklnAYtc5/bDOfcB6pR+PCwczrnMcV9jV/28zHVuP3yda2P37W1e+jjBdW4/nPPDwFOlH8cDh4EY19lP45zPAXoAq07wvNfrVyC30H/enNoYUwAc25y6rJ83pzbGLARqi0gjfwf1ogrP2RjzgzHmSOnDhdjdoYKZJ19ngDuxe3ft92c4H/HknK8GPjTG7AAwxgT7eXtyzgaoKXYT1RrYgl7k35jeY4z5DnsOJ+L1+hXIBf1EG0+f6jHB5FTP52bsb/hgVuE5i0gTYCQwgdDgyde5HVBHROaKyFIRud5v6XzDk3N+HuiI3b5yJXCXMabEP/Gc8Hr98miDC0e8tjl1EPH4fERkILagn+3TRL7nyTk/CzxojCm2jbeg58k5RwFnAoOAasACEVlojNng63A+4sk5nw8sA84FWgNfisg8Y0ymj7O54vX6FcgFPRw3p/bofESkKzAJGGaMOeSnbL7iyTknA1NLi3l9YLiIFBljPvZLQu/z9Hv7oDEmG8gWke+AbkCwFnRPzvn3wJPGdjBvEpGtQAdgsX8i+p3X61cgd7mE4+bUFZ6ziDQHPgSuC+LWWlkVnrMxppUxpqUxpiXwAXB7EBdz8Ox7+xOgn4hEiUgs0AtY6+ec3uTJOe/A/kWCiDQA2gNb/JrSv7xevwK2hW7CcHNqD8/5z0A94MXSFmuRCeKV6jw855DiyTkbY9aKyCxgBVACTDLGlDv8LRh4+HX+G/C6iKzEdkc8aIwJ2mV1RWQKMACoLyJpwGNANPiufunUf6WUChGB3OWilFLqFGhBV0qpEKEFXSmlQoQWdKWUChFa0JVSKkRoQVdKqRChBV0ppULE/wcrGajL+27gCQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "plt.plot(P,with_uniform_prior(P,100,75))\n", + "\n", + "plt.plot(P,with_uniform_prior(P,4,3))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -161,13 +229,38 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "def with_new_prior(p,N,m):\n", " prior = 0.99 / (0.01 * np.sqrt(2*np.pi)) * np.exp(-(p-0.5)**2/(2*0.01**2))+0.01\n", - " return prior*with_uniform_prior(p,N,m)" + " return prior*with_uniform_prior(p,N,m)\n", + "\n", + "plt.plot(P,0.99 / (0.01 * np.sqrt(2*np.pi)) * np.exp(-(P-0.5)**2/(2*0.01**2))+0.01)" ] }, { @@ -183,6 +276,39 @@ "* $N=100$, $m=75$" ] }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "P = np.linspace(0,1,500)\n", + "plt.plot(P,with_new_prior(P,15,14))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -209,7 +335,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -223,7 +349,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.9.7" } }, "nbformat": 4,