{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib\n", "--------------------------\n", "\n", "[[back to top](#top)]\n", "\n", " According to the [Matplotlib](https://matplotlib.org) website: \"Matplotlib is a Python 2D plotting library which produces publication quality figures in a variety of hardcopy formats and interactive environments across platforms. Matplotlib can be used in Python scripts, the Python and IPython shells, the Jupyter notebook, web application servers, and four graphical user interface toolkits.\" (Visual) examples can be found [here](https://matplotlib.org/tutorials/introductory/sample_plots.html) and [here](https://matplotlib.org/gallery/index.html) for inspiration. In addition, we will show some of Matplotlib's functionality in this tutorial." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Matplolib has *several* plotting capabilities. For example,\n", "\n", " * plot — plotting x and y data points\n", " * errorbar — plotting x and y data points with errorbars\n", " * hist — plotting histograms\n", " * hist2d — plotting 2D histograms\n", " * matshow — display a matrix\n", " * etc..." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 4*np.pi, 100)\n", "y = np.sin(x)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y);" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 4*np.pi, 100)\n", "y1 = np.sin(x)\n", "y2 = np.cos(x)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(x, y1, label='Sine')\n", "ax.plot(x, y2, label='Cosine')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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TeiuZFN0MihDCBPwCuBtYBjwghBgxwZCU8p+klKullKuBnwHD5+7uc/wmpbzXbcJnwppPwWCXFrS1c6S0ibr2Pj69Qb/BSQ9mLaZ/yMZrZ2t10zDnaSmHilxY+1ltAkc9WPMpMPmM6KW09gzyztV6Prhm0axnFJ4p71sZi7+3iVfPGNfXjLEOwfmXtMZKoOuzQGeLnj2U9UCZlLJCSjkIvAzcN8H6DwAvuUWZs0ncqLklhrm9/nqujhA/L+5Yqt9FsiI+hFWLQnjRCM7PnHO/11qPtz6knwb/cFjxIbj4ilaIC/jL2VqGrFIXd5eDAB9P7l4Ry54LN+gfMurxzIiy/dDTCGse1FvJlNDToMQDwyN2tfZl70EIkQgkAweHLfYVQpwWQpwQQqibmA1afec1D0LVEWitpGfAwttXGrjnlljdWo8OPpm1mNLGbs7VtE++ssFIbDa4+GdIuwOC9HEr3WTVJ7RecMlbSKkF41cnhOriTh3Oh9fG0zVg4e0rU5/XzmAY5/6gzbyQvlNvJVNCpz76tPkE8KqUcngzJ1FKWSeESAEOCiEuSSnLR28ohHgEeAQgOjqavLy8GQno7u6e8bYAPv1JZCOofv2HvOj9MfqGrCTROKt9Tofx9AcNSTw94FdvnOTBpT5u0TJTZvs/cDYh7VdY01nL1fiP0jgFXS7VL61s8A6j6+Cv+GtpMCUN/XxmubfTjzfdc7BJidlX8My+S4S0lzpVy0xQ7RqaCK/BdjYUv0ld/AcoP3Ls5nKVz0FPg1IHDO+PL7IvG4tPAF8evkBKWWd/rxBC5AFrgPcYFCnl08DTAOvWrZPbtm2bkdi8vDxmuu1Nml4iqSmf4uDPsjjcky/cv83lU604mEj/7voznK5u49dbts66QqQrccr/wJn87TXw8mfZ/f/CsilMBOly/QOfxOfk09TH+OLnNcQ/f3QbQb7OTUefyTk8aCnhZwdLyVyTRWyIn1P1TBflrqGJyP85SCsJ9z5OQtTSm4tVPgc9XV6ngHQhRLIQwhvNaLwnW0sIsQQIA44PWxYmhPCxf44AcoCrblE9G9Y8CJ212CqOcP+aeLcZk8m4d3Uczd0DHC9v0VvK3MEyCFf+Ckve77pZhafLLR8F2xBcfZ0dy6KdbkxmyodvjUdKbUZtg2lw4SWtYN8wY6I6uhkUKaUFeBR4GygEXpFSXhFCfFcIMTxr6xPAy3Jk1HgpcFoIcQHIBX4kpVTfoGTczZDJj/d5nOCDa8YMF+nC7UuiCPTxZPcF44afMmX7tck/V35MbyXvErua3uAU7rQe4v0rY/VWc5NEcwDrk8P5y9laI/ljqjSXQsNlrQrsHELXGIqUci+wd9Syb4/6/m9jbJcPrHSpOFfg7U++xzre73WakDB14hW+XiZ2Lo/mzcv1fO/+FbonCswJLr2iFdFK3a63kncRgqO+29np8Sz9MWoVUbt3VRzf+utlShq6dU8UmBNc+av2vlTtERGjUXvY5TyjuL6LP/asJUR2QvVRveWM4L7V8XT1W8grbtJbivr0d0Lxm7D8Q2BSw60E9ro6jasB8C36yyRru5e7lscgBOy9dENvKXODq3+FhGwIUceTMRUMg+JG3rx8g0NyNdLLH668precEeSkmjEHeLP7/HW9pahP0R6w9MMtCrm70KZaudJvpsO8WktnVojIIB/WJ4Xz5mXDoEyKw921XO3REGNhGBQ38tblem5JikFk3q2Nmp+kToo78TR58P5bYtlf2GDMEDsZV1+HkARYdJveSkaw5+INgnw9CVj7cWi8oo3iV4j3rYylpKGbssYuvaWojcPdtWyicd5qYhgUN1HV3ENRfRe7lsdoc3v1tmgDHRXiA6viGLDYyC1q1FuKugx0QXkuLLlHG7CqCAMWK+9creeu5TF4LvuAtnDYVD8qsGuFw+1lDHKckCuvae6u4Di9lUwbw6C4CcdI4btWxED6neAVoPlJFeLWxWFEBHrzztUGvaWoS9l+sA7A0nv0VjKCwyXNdPVbuOeWWAhNgNjVmmtOIaKDfVmXGGbEUSaiuVTrXS7/oN5KZoRhUNzEW1fquWVRCPGhfuDlB5m7lHN7mTwEO5ZGk1vUyIDFmHtpTAr3aNldizforWQEey/dINTfi5y0CG3Bknu0Gjydaj28714RS1F9FxVN3XpLUZOb7q65ld3lwDAobqC+o59z19q5a3nMuwsdbi/Fsr3uXBZN94CFExWtektRD8sglL6jVeL0UCe12mK1cbCokduXROFlst/Sjh5U8Rv6CRuDu1dq98Cblw2315g4srvmoLsLDIPiFt65and3DTcoaTvA01dLP1WInLQI/L1N7Ltq3PDvofIwDHTCkg/orWQEZ6rb6Ogb4s6lwyaojFyilZ8uVMvtFRvix62LQw2311i0X9OyuxRzp04Hw6C4gbcu15MWFUha1LApOrz9IWWbZlAUGj3s62Via0Yk+642YLOpo0sJivaAd6D2f1OI/YUNeJs82JwR+e5CIbQHU9UR6FNrJum7lsdw5Xon19v79JaiFsVvae+Z79NXxywwDIqLae0ZpKCyVcvuGk3GLmivhsZC9wubgJ3Lo2noHOBinVFv/iY2GxTv1XqWXr56q7mJlJJ9VxvYkGom0GfUxBdLPgA2i+amU4g77D2pg0Y24UiK94I5HcypeiuZMYZBcTEHixqx2uRId5cDR8nYErXcXrdnRmPyELxj1LB4l9pT0N2gBbsVoryph6qWXnaMVeY3fi0ExiiXPpwaGUCi2Z8DhUY24U36O6HqqJasM4cxDIqLyS1qJDrYhxXxwe/9MThWS+90dHUVIcTfi+yUcCN9eDhFe8DDCzLUKnS03/5Q3jFW5U8PD2025LL9MNTvZmXjI4Tg9iVRHCtvoXdQnSxHXSk/qM0UnXG33kpmhWFQXMiQ1cbhkia2Z0aNP1V95t321q9ac2jtXBZDWWM35UZ6p0bpO5CUA74heisZwf6rDayIDx6/zkjm+2CoV7lswjuWRDNosZFfZpRMAKDkLfANhYQsvZXMCsOguJDTVW10DVjYljlB3fiMXYBU0M+taTZGzQNt1dBUpFwZ1pbuAc5ca2PH0gnKDyflgKcflO5zn7ApsD45nABvEweM6wtsVu3+T98JprlSRHdsDIPiQvKKG/EyCTalR4y/UuwqCIpTLo6yKMyf9KhAY/ZhgDL7wzjtTn11jOJgUSNSMrFB8fKD5M3KNVi8PT3YkhHJwaIGo0ZK7SltTNocj5+AYVBcysGiRtYnh783+2Y4QkDGXdr8UBa1alhsy4zkZGUrPQt9ssjS/RCaCBHpeisZwf7CBmJDfFkeN0Z8bjjpO6G1QrnJIm9fEkVD5wBXrnfqLUVfit8ED08tg3COo6tBEULsEkIUCyHKhBCPj/H7Z4QQTUKI8/bXF4b99rAQotT+eti9yienprWX0sZutk/k7nKQeTcMdis3WeS2zCgGrbaFXRp4qB8qD2kPZYUmgxyy2jhW1sK2zMjJS0k7HlSKub22L4lCCDhQuMDdXiVvQeJG5eJzM0E3gyKEMAG/AO4GlgEPCCGWjbHqn6SUq+2v39i3DQeeBLKA9cCTQogwN0mfErnF2k1y+5IpGJTkLdqo+dL9LlY1PdYlheHvbSKvZAHf8NXHtKC2YvGTs9VtdA9Y2Dp8MON4hCdDRIZybq+IQB9WJ4RysGgBZxO219jjc3fprcQp6NlDWQ+USSkrpJSDwMvAVAsA3AXsk1K2SinbgH2AUg7I3KJGEs3+JEcETL6ylx8k5kD5AdcLmwY+niY2pkaQV9y0cP3cpfs0Y5+0SW8lIzhU0oTJQ7AxbYL43HDSd2rjHAZ7XCtsmtyeGcWF2g6autRy97oNxz0/D9xdoK9BiQdqhn2vtS8bzYeFEBeFEK8KIRKmua0u9A1ayS9vmThdeDRpd0BziTafj0Jsy4yktq1v4aYPl74DSZu1qXIU4nBpE2sXhxHsO8USxOl3atPuV6rlVt1i72EdK2vWWYlOlO2H4HiIzNRbiVNQPUftb8BLUsoBIcSXgOeB26ezAyHEI8AjANHR0eTl5c1ISHd395S3Pd9oYcBiwzxwg7y8qWVJ+fcEsR4o3vsrbsQ5v/s7Hf3D8e2zAfCbN06wK1nf+ukzPYeZ4td7nazWckrD76DOCcd1lv6OAcnlul4+nO415f0J2xA5Jl8aDj1H6Y2ZTx3j7P+BTUoCveCVI5cJ7Sh12n7Hw93X0EQIm5WckoM0RW6g+NChKW+n0jm8BymlLi9gA/D2sO9PAE9MsL4J6LB/fgB4athvTwEPTHbMtWvXypmSm5s75XWffP2yzPzWXtk3aJn6AWw2Kf97qZQvPzh9cVNgOvpHs+O/8+SDz5xwnpgZMptzmBHHfyXlk8FStlQ4ZXfO0v+/Z2pk4mN75KXa9ult+NInpfzxCu1amyGu+B88+sezcu339knbLHRNFbdfQxNRfVy7vi7/ZVqb6XEOwGk5hee6ni6vU0C6ECJZCOENfALYPXwFIUTssK/3Ao5ZFN8GdgohwuzB+J32ZUpwpLSJ9clmfL2mUTNDCM3tVXEIrEOuEzcDFmz6cNl+MKdpQW2FOFTShDnAm2Wxk6QLjyZtB3Rc06oCKsSW9AiauwcovLHAas2XHQDhodzs1bNBN4MipbQAj6IZgkLgFSnlFSHEd4UQjnJlXxVCXBFCXAC+CnzGvm0r8D00o3QK+K59me5cb++jvKmHLRMNZhyP1Du0ehu1p50vbBYsyPRhy4CW4ZU6LQ+ry7HaJIdLmtiSEYmHxzTTmB3nUpHrfGGzYHO6Fkc5UrrABtGW7Yf4deCnVILqrNB1HIqUcq+UMkNKmSql/IF92bellLvtn5+QUi6XUq6SUm6XUhYN2/a3Uso0++t3ep3DaI6WasHFCUfHj0fKVq3Foli217qkMPy8TBxdSIHTmgItXThlu95KRnC5roO23qGppQuPJiwRwlO0iQgVIibEl8zoIA4vJIPS0wLXz2leiXmEMVLeyRwubSIyyIfM6KDpb+wXprVYytQyKD6eJtYnhy8sg1KeC8KkXLrw4ZImhIDNM2mwgGYgq44q51bdkhHBqco2+gatektxDxW5gNS8EvMIw6A4EZtNkl/ewua0iKmnC48m7Q6t5dKjlntpU1oEZY3d3OhYIFX2KnJh0W3gO804hYs5VNLEirgQzIE+M9tB6nZtVobaU84VNks2p0cyaLVxolKt695llB/UZheOv1VvJU7FMChO5OqNTlp7BtmcMcPWI9gHOEnl/Nw59gF0DpfevKa3Fa6f1x6+CtE9YOF8TfvMeyegjakRHloPTCHWJ4fj4+nBkZIFcH1JqXkhUreDxzQSd+YAhkFxIg4fcM5URy+PRdwabU4fxQzKkpggIgK9F8YAtMpDgFQufnKysgWLTc7u+vIL1So5KnZ9+XqZyEoxL4w4SlMRdNcrd305A8OgOJGjpc0siQkiKmgWNcc9TForsuKw1pJRBA8PwcbUCI6Wtcz/aVjKc8EnWHvwKsTR0hZ8PD1YmzjLrKCU7VB3BvranSPMSWxJXyBu1Qr7IMaUbXqqcAmGQXESfYNWTle1zc4d4SBlmzZeoK1y9vtyIpvs4wWKG+bxeAFpdzcmbVau2NGxsmZuSwqf3vimsUjdDtKm3OzWjp7XsflexbHyEIQlaVl38wzDoDiJgsoWBq22mzn1syJlm/ZeMfXpGNzBpoUQR2mt0OZTUyx+0tjVT3FDFxvTzLPf2aLbwDtQuThKZnQQ4QHe5JfP4+vLatGy7JK36q3EJRgGxUkcK2vG29OD9cnhs9+ZOU2r4liRN/t9OZG4UD9SIgPmd/qwI7agmH/bMah002ziJw5MXlo6tGJxFA8PwYZUM/nz2a16/Zw2eDnFMCgGE5Bf3sLaxWGzd0eANg1LylaoPAw22+z350Q2pUVQUNHKgGWejheoyIOQBDCn6q1kBEdLmwnx82J5nJOKMKVs13pjbdXO2Z+TyEmNoL6zn4pmtabZdxqVedq70UMxGI+2nkGu3uhkY6oT3BEOkrdCXys0XHbePp3AprQI+oasnLumVkDXKdhs2vTuKVuVqs4opeRYWTMbUsyYpjvdyng4WsjKxVG0eyh/vvaCKw5B9Eq9xvMeAAAgAElEQVQIcEJPU0EMg+IETlS0ICXO8W87cNzwlWrFUbJTzXiIeVq/ouES9Lcr13qsaunlekc/Oc5I+HAQuQQCIrVesEIsDvcnPtRvfgbmh/qg5uS8dXeBYVCcQn55C/7eJm5ZFOq8nQbHaWVbFQvMB/t6sXJR6PycKNLxcE3arK+OUThiVk6JnzgQQis9XalWeroQgo2pZo5XtGC1qaPLKVw7oRU5U6zB4kwMg+IE8subWZ8cjpfJyX/O5K1QnQ+WQefud5ZsSDFzvqad3sF5Np195WEwp0Nw7OTrupH8smbiQnxJMju5amTSZui6AS1lzt3vLMlJi6Cjb4jCG516S3EulYfAwxMSN+qtxGUYBmWWNHT2U97U49z4iYOUrTDUow1CU4iNqWYsNsmpqja9pTgP65BmvJO36K1kBDab5HhFCxtnMz/ceDjOVTG3quNemndu1YpD2uSvPoF6K3EZhkGZJQ7Xz8ZUFwTZkjZp8y4plj68LikML5OYX26v6+e1SRMVMyiF9Z209w6xIcUFDZbwFAhepFyd+ahgX9KjAjk2n66vvna4cX5ex0/AMCizJr9cS+ecdvW8qeAXBjG3aAOhFMLf25PVCaEcn08D0BytdMXiJycqtLpxG1zRAxYCkjdrmV6KpadvTDVzqrKVQYtaumZMdb42O4FiDRZno6tBEULsEkIUCyHKhBCPj/H714QQV4UQF4UQB4QQicN+swohzttfu0dv6y7yy1vYkGKefvW8qZK8GWpPahkiCrEhxcylug46+9WqqzFjqo5A9AoIcMGDexYcL28h0exPXKifaw6QvAV6W6Dxqmv2P0M22tPTz9fMk/T0qiPg6avNUjCP0c2gCCFMwC+Au4FlwANCiGWjVjsHrJNS3gK8CvzfYb/1SSlX21/3ogM1rb3UtvU5N114NEmbwTqoXP2K7FQzNgmnKpWovDw7LANaBo5irUerTVJQ2eIad5cDR49MsfThrORwhNBS8ucFVUcgYT14zrCOzRxBzx7KeqBMSlkhpRwEXgbuG76ClDJXStlr/3oCWORmjRPimHPIJQF5B4s3aHEUxfzcty4Ow9vTg/z54OeuPQWWfuXcXVevd9LVb3GNu8tBaAKEJStnUEL9vVkaEzw/DEpvK9RfVu76cgV6TqcaD9QM+14LZE2w/ueBN4d99xVCnAYswI+klH8dayMhxCPAIwDR0dHk5eXNSGx3d/d7tv3rhX5CfAQ1V05Te9V1I6tvDUzFdmEP5z1yZryPsfTPltRg2Hehms2BjU7d73i44hwAkir/SCIeHKuxYal3/v4dTFf/m5WaO1HWF5OXV+oiVZDhm05U+SGOHTyAnKTgk6v+B2OxyHuA3EoL+w7m4uUkl7I79TuIaDrOCiTn2gLpcMKx9TiHKSOl1OUFfAT4zbDvnwZ+Ps66n0LrofgMWxZvf08BqoDUyY65du1aOVNyc3NHfLfZbDLrB/vlo388O+N9Tpl3/o+U3zFLOdAz412M1u8M/md/iUx8bI9s7R5w+r7HwhXnIKWU8tldUj611TX7HsZ09X/2dyfl9v+a3jYz4uKfpXwyWMqa05Ou6rL/wRi8c6VeJj62R54ob3baPt2p/yZ7vyHl96KlHOp3yu70OAfgtJzCc11Pl1cdkDDs+yL7shEIIXYA3wTulVIOOJZLKevs7xVAHrDGlWJHU93SS31nP9kpTphdeDKSNoNtCGoKXH+saeBwxRTM5Trgg71Qd1o5d4TFauNkZSvZroyfOEjapL1Xq5VNuD7JEUeZ43G6yiOwOGvex09A3xjKKSBdCJEshPAGPgGMyNYSQqwBnkIzJo3DlocJIXzsnyOAHMCtaSoO365bbvjF2SBMyk3kd8uiUPy9TXN7PErtKS3pQTGDcvl6J90DFtcG5B0ExWgzBCiWnh7ir6Xjz+k4Sk8zNF5R7vpyFboZFCmlBXgUeBsoBF6RUl4RQnxXCOHI2vpPIBD486j04KXAaSHEBSAXLYbidoMSGeRDSkSA6w/mEwTxtyp3w3vby9EWzOVMr6qjWtLD4my9lYzAYaTd0mABrZdSfVwrAKUQG1LMnLnWRv/QHC2XUH1MezcMiuuRUu6VUmZIKVOllD+wL/u2lHK3/fMOKWW0HJUeLKXMl1KulFKusr8/62bdnKjQ3BFOnw5jPJI2aVOwDHS753hTJDvFTFF9F609as03NmWqjkLsavB1wcDUWXC8ooX0qEAig9zkJknaBINdUH/RPcebItkpZgYttrk7HqXyCHj5aw3CBYAxUn4GuDV+4iBpM9gsUHPCfcecAo6/wcm52EsZ6rPHT2aePecKhqw2Tle1ujZdeDSOOIpiveDbksPxmMvjUaqOaL1fk5feStyCYVBmgFvjJw4SsrSZShUbj7IyPhRfL4+5ecOrGj+p66B30EpWshuvr6AYrfS0YgbFUaVyTsbpupugqUi568uVGAZlBpyoaCEi0E3xEwc+gRB367s+WUXw9vRgXWL43IyjKBo/cfwts9zZAwatl3LtONjUildkp4RzrqZ97sVRHFlzhkExGI934yfh7oufOEjKgevnYFCtettZyeEU1XfS3jvH4ihVRyF2Ffg6qU67kzhR0UJaVCARgW5OM03aDAOdysVRNqRqcZQ5V3a66hh4BUDcar2VuA3DoEyTa62O+IkOkwgmbrLHUdQaj5KdakbKORZHGerTXF6JasVPLFYbp6vayEp2c+8E3v1bKOb2WpekxVHm3Hin6mPa/F0LJH4ChkGZNrrETxwszrKPR1HL7XXLohB8PD3m1gC02tNKxk+u3tDGn2TpcX0Fx0J4qnIGJdjXi2Vxc2w8So99BmdHssMCwTAo0+RERSsRgT6kRroxfuLAJ0jrPisWR/HxNNnHo8yhG17R+MnNBosePRR4dzyKYnGUrGQz5661M2BRS9e4XMvX3g2DYjAeWvykhSw94icOEnO01vVg7+TrupHsFDNXb3TS0TtH6qNUHdWKl/mF6q1kBAUVraREBBAV7KuPgKTNMNChXBwlKzmcAYuNCzUdekuZGlVHwdNPS6RZQBgGZRrUtvVxo6Nfv9YjaC0e25By9VGyksOREk5VzQG311C/9vdTrPVotUlOVrW6P7trOI4xOYq5Vdfb66MUzBW3V9UxSLgNPL31VuJWDIMyDRzuCF382w4WZ2uuGsXcXqsXh9rjKHPghq87A9YB5QLyhTe0+iduHX8ymuA4rT5Kdb5+GsYg1N+bzOiguZGe3tcGDZe1JJoFhmFQpkFBZSvhAd6kRwXqJ8I3BGJWKteC9PE0sWZx6Ny44auPAQISN+itZATvNlh07KGA1ku5lq9cnfnsFDNnqtsYsqql6z1UHwekcjMwuAPDoEyDgsoWbksK0y9+4iBps+ayGerXV8co1iebuXJ9DtSZrzoK0cvBL0xvJSMoqGwl0exPbIiL6sdPlcQcrZWtWJ35rORw+oasXKxVPI5SfQxMPhC/Tm8lbscwKFOkpc9GTWufvu4IB4k5msum7ozeSkaQnRyOTcKZqja9pYyPZRBqTirn7rLZJKeqWvUZfzIax99GMbfqevvfRvlswqqjsOg28NIpsUJHpmRQhBBRQogPCiG+LIT4nBBivRBiQRmj4jatm627OwLsrhqh3HiBNYvD8DIJTqh8w18/B5Y+5dwRxQ1dtPcOqdFgCUuEkATlri9zoA/pUYFqj3fqt2fIKXZ9uYsJjYIQYrsQ4m3gDeBuIBZYBnwLuCSE+I4QQq15v11EUauVYF9PlsQocLp+YRC9QrkKe37eJlYtCqVA5Rve0epWrIdSoEr8xEFijhaY18psK0NWSjhnqlqxqBpHuXYCpE2568tdTNbLeB/wRSnlbVLKR6SU35JS/ou9Lskq4Bxw50wPLoTYJYQoFkKUCSEeH+N3HyHEn+y/Fwghkob99oR9ebEQ4q6Zapgqxa1W1ieHY/LQOX7iICkHak5pLhyFyEoJ51JdBz0DahVqukn1MYhcAgEReisZQUFlK/GhfiwK89dbikZSDvQ2Q3OJ3kpGkJVspmfQyuXrnXpLGZvqY+Dhpbm8FiATGhQp5dellNfG+c0ipfyrlPJ/Z3JgIYQJ+AVaz2cZ8IAQYtmo1T4PtEkp04CfAP9h33YZWsng5cAu4Jf2/bmExs5+GnqlGu4IB4k5muvm+jm9lYxgfbIZq01y9pqCcRSrRWtBKtZ6lFJyslKR+IkDRef1cvTglB2PUnUM4teCtyINAzcz1RjK74UQIcO+JwkhDszy2OuBMillhZRyEHgZuG/UOvcBz9s/vwrcIbQUq/uAl6WUA1LKSqDMvj+XcMKeCrteqRt+o/aumNtrbWIYJg+hptur/gIMdivn3y5v6qalZ1AddxdAeAoExSoXmI8K8iUlIkDN9PSBbq2Bp9j15U6mGlg/ChQIId4nhPgi8A7w01keOx6oGfa91r5szHXsNeg7APMUt3UaJytb8DXB8jgF4icOAiI0141i41ECfTxZER+iZiZOlZrxE0eQWakesBBao6XqmJJxlFNVrVhtaumipgCk9d3GniJcqu3gH148w7UW10/X5DmVlaSUTwkhrgC5QDOwRkpZ71JlTkII8QjwCEB0dDR5eXnT3kdd3QBLQyVHjxx2srrZke6VTHRVLscOHkB6TOzx6+7untG5z4Q4z0H2VQ3xzoFcvE3OiznN9hxWXNqNv18cJ88UAUVO0zVVxtP/t/P9hPoIKi+dpErvMU7DiBuIJKO7noI3X6LPPw5w73U0HkH9Frr6Lfxhz0ESg6fn6Xal/uSKl1iMB0erBrHWuuYYMP1z2FMxyN6SIe6O7KTC28XXl5Ry0hfwaaAEeAD4d+AssGoq206wzw3A28O+PwE8MWqdt4EN9s+eaMZMjF53+HoTvdauXStnSm5u7oy3dRmXXpXyyWApa09Puqo79R8orJeJj+2Rx8qanLrfWZ2D1SLlvydI+fqjTtMzXcbSb7PZ5Pof7JOP/vGs+wVNRmORdn2dfu7mIhXug7q2Xpn42B75myMV097WpfqfvUvKp7e7bv92pnsODz1bIO/8cd6sjgmcllN4rk/V5fVhYJOU8iUp5RPA3wHPzdKWnQLShRDJQghvtCD77lHr7AYetn/+CHDQfnK7gU/Ys8CSgXTg5Cz1zD0S1ZzIb22iYyI/hfzcDVe0MQKKza9U3dJLQ+eAWgF5BxEZEBCp3LxecaF+JIT7qRWYH+rTBhor5k7VCra1us2dOiWDIqW8X0rZOOz7SSBrNgeWWkzkUbTeRSHwipTyihDiu0KIe+2rPQuYhRBlwNeAx+3bXgFeAa4CbwFfllLOkUIJTiQoRiuIpFjgNMTPi2WxwWrFURx/I8UCpo6/UbZKAXkHjjiKYtcXaPGmk1Wt2FSJo9Se0gq2KWZQrlzvpGfQ6raEoskGNn5LCDGmEinloBDidiHEPTM9uJRyr5QyQ0qZKqX8gX3Zt6WUu+2f+6WUH5VSpkkp10spK4Zt+wP7dplSyjdnqmHOk5RjFESaClVHITQRQhbprWQEBRWtmAO8SY3UccLRiUjcBB010Fatt5IRZCWH0947RGljt95SNKrsE44qVrDN0WBxVwbhZD2US8DfhBAHhBD/KYT4hhDi2/Y04kvABwC1CpwvNBI3aQWRGq7orWQEWSkKFUSy2TS3jWL1T0Ab0KjV+lAnGD+CJDXn9XKU4FamF1x9TJsFXNWCbUHumVdsMoPyESllDppb6gpgAjqBPwDrpZT/JKVscrFGg4lQ9IZfn6TQALSmIuhrVc4dUdvWS117n5rxEweRS7WpfhSL0y0K8yMuxFeNOJ1lwCjYZmcyg7JWCBEHPIgWCH8KeAEtoK7zHNsGgObCCU1UbkRzWIA3S2IUKYikaPzk5vgTPQu2TYaHh31eL7WuLyEE65PDKahscWR66kfdWbD0K9dg0aNg22QG5dfAAWAJcHrY64z93UAFkjZpLh3FCiJlJYerURCp6igE2w2vQhRUtBDq70VmdJDeUiYmMQfaqqCjTm8lI8hKMdPcPUh5U4++QhzGVrEBjScrHQ0WRXooUsr/kVIuBX4rpUwZ9kqWUqa4SaPBZCTmaC6dpkK9lYwgO8Wsf0EkKbUeSlKOlrWkEAWVraxPCsdDlQlHx0NRt2qWKvVRqo5C1HLwV8t1WVDZwuJw9xZsm2ra8N+7WojBLEhSczyKEgWRmkuhp0k5d8T19j6utfaq7e5yEL0CfEKUc6smRwQQFeSjbxzFOqQVbFPMnWqz6TPh6IIqkjVvCbUXRFLMz+0oiKTrDe/4mygWMFV6/MloPExaUTfFeihCCLJSzPrGUa6fg6Fe5a6v0sZu2nqH3N5gMQzKfEAIrQWu6ER+p/UsiFR1DAJjtNlzFaKgolWdgm1TITEHWsrwHlAgyWIY2SnhNHQOUOWGiQ/HpOqI9q5YD/jm+BOjh2IwI5I2aQWRmor1VjICR0GkK3oURFI9fqJSwbbJsLt0QjoUG+9kz2DSLT296piWWq1YwbYTFS3Eh/qREO7euiyGQZkv3IyjHNFXxyhuFkTSI47SWgFdN5RrPTZ09lPZ3HNzcN6cIGYVeAcR2q6WQUmNDCAi0IcTehgU65BWsE2x+ImUkhMVrbpcX4ZBmS+EJUNQnHJ+7psFkfSIoziMa9Jm9x97AhwPP6Xqn0yGyRMWZxPafklvJSPQ4ijhFFS2uj+OcuMCDPUo12ApbeymVaeCbYZBmS8Iobm9lIyjaBP5ub0gUtVRCIyGiHT3HncSCipbCfLxZJlKBdumQvJmAnproatBbyUjyE4xc6Ojn2utbo6jVKmZ8OFosGwweigGsyIpB3oatVRZhchOCaer38JVd8ZRpNRu+KRNysVPTlS0cNtcip84cDw4FcsmzHakp7u7F1x1VJviPzDKvcedhIKKVuJD/VgU5v7JTAyDMp9wuHYUu+EdLSW3+rkd8RPFWo+NXf1UNPWoPX/XeMSswmLyU248SlpUIOYAb/deX1aLPX6i1vWlxU9ayErRZ8JRw6DMJ8JTtBRZxW74qGBfUiIDOO7OG17Z+InWip5TAXkHJk86QpYpd33pEkepvwCDXcrFT8oau2npGdTt+jIMynziZhzlqHJxlOwUM6cq3TgexRE/Mae553hT5Hh5C0E+niyfa/ETO+2hK6C5RMk4Sl17H7Vtfe45oBE/GRNdDIoQIlwIsU8IUWp/DxtjndVCiONCiCtCiItCiI8P++05IUSlEOK8/bXavWegMMmbobtBuTjKhhQzXQMW94xHkRIqjygZPymoaGF9cjieprnZlmsPXal9UCw93dEid1svuPKIFj8JinHP8abICR3jJ6BfD+Vx4ICUMh1tNuPHx1inF3hISrkc2AX8VAgxvHrN16WUq+2v866XPEdwuHiqDuurYxSOFEa3+LlbyqG7XrnWY1u/jYrmHjakzkF3l53uwBTwCVbO7ZXuzjiKdQiuHVfOnap3/AT0Myj3Ac/bPz8P3D96BSlliZSy1P75OtAIRLpN4VwlPAWC47UWlEJEBfmSGhngnhte0fhJYavm7puT8RM70sMEizcoZ1CEEGSnmDle7oZ5va6fh8FuzRugEHrHT0A/gxItpbxh/1wPRE+0shBiPeANlA9b/AO7K+wnQggfF+mcewihPUhVjaNUtbk+jqJo/KSo1UqwrydLY+dm/OQmSZugpRS66vVWMoINqdp4lGpXz+vl6P0r1mDRO34C4OmqHQsh9gNjORi/OfyLlFIKIcZ98gkhYoHfAw9LKR1PoifQDJE38DTwGPDdcbZ/BHgEIDo6mry8vOmdiJ3u7u4Zb+tuYgYiWdLbzKk3XqAnUCsqpYL+kH4L3QMWXvhbLimhpmlvP6VzkJINJQdoD11B4aFDMxPqIq42D5Ea7MmRw2rpmg7d3d2csfmxFri692kao7foLekmpm7t8fDcm/lsS/Aacx1n3Ae3XNiNd0Aip09dntV+Zsp45/D6uX7CfQVlFwoo1yt2KKV0+wsoBmLtn2OB4nHWCwbOotW2H29f24A9Uznu2rVr5UzJzc2d8bZup7VKyieDpTzx65uLVNDf2NkvEx/bI3+VVzaj7ad0Dk0l2rmfenZGx3AVtW29MvGxPfLZIxV6S5kVubm5UlqGpPzhIilf/4reckZgs9nkbd/fJx/949lx15n1fTA0IOX3Y6R84+uz288sGOscrFabXPWdt+U/v3LeJccETsspPGP1cnntBh62f34YeH30CkIIb+A14AUp5aujfou1vwu0+Is+TQVVCUvUaqRUqhWYjwzyIS0qkOPlLoyjVNpb/8lbXXeMGeA457kckL+JydNeLkGtOJ0Qgo2pLo6j1J3R6p8kq9MzAyis76S9d4iNOl9fehmUHwF3CiFKgR327wgh1gkhfmNf52PAFuAzY6QHvyiEuARcAiKA77tX/hwg2R5HUazO/MZUM6eqWhm0uEhXxSGtfrxi9U9OVLQQ6IX69eOnSspWbTaC9hq9lYxgQ6qZ5u4Byhq7XXOAqiOAUG6GYVUaLLoYFClli5TyDillupRyh5Sy1b78tJTyC/bPf5BSesl3U4NvpgdLKW+XUq6UUq6QUn5KSumiq2cOk7QF+tuhQa3ZYTemmukdtHKhtt35O7fZtBs+eYty40+Ol7eQGW5Sv378VHG00BXrBW9M1eqS5LuqF1x5GGJWgt97hs7pSn55CykRAW6tHz8Wc3N0lcHkOFIaFUsfzk4xIwQcK2t2/s4bLkFfm9Z6Voia1l7q2vtYGj79RARliVoG/hHvuhgVISHcn/hQP9e4VYf6tfrxirm7hqw2CipadO+dgGFQ5i/BcRCeqpyfO9TfmxVxIeSXueCGd7SWFbvhHcZzqXkeGRQhtL9z5WHl0tM3pJo5UdmCzdnlEmpPgnVAuXThS3Ud9Axab/bO9MQwKPOZ5C1Qna/NjKoQG9PMnKtpo3fQyboqD4M5XTOmCnG0rJmoIB/iAuaJu8tB8hZtRueWMr2VjGBjqpn23iEK6508zU/lERAmSNzg3P3Oknx7gyVbh4JaozEMynwmZRsMdML1c3orGUFOagRDVsnJSifWr7AOacZTsd6JzSY5Xt7CprQI3abDcBkO12JFnq4yRuNw/Tjd7VWRB/FrwTfEufudJfnlLSyJCcIcqP/4bsOgzGeStwBCuRt+XVIYXibh3Bu+7qw2HYZi8ZOi+i5aegbZmKa/O8LphCVDSIJygfnYED9SIgKcG6fr79BShlO2OW+fTqB/yMrp6jYl3F1gGJT5jX84xK6Cily9lYzA39uTNYvDOFbuxBu+8jBaOqda/u18+znmpOkfMHU6jjhK1RHl0tNz0iIoqHRienrVUZBW5QzK2WttDFpsuo8/cWAYlPlOyjaoOYnJ4qY6EVMkJzWCK9c7ae8ddM4OKw9p6Zz++vuRh3O0rJmUSP3TOV1G8lYts06x9PRN6RH0Dlo5d63NOTusyAMvf1h0m3P25ySOl7fgIWC9AvETMAzK/CdlG9iGCOm4qreSEeSkmZHSSX7uoT6oKVAufjJosXGyspVN89Hd5UDR8SgbUs14CM2gO4WKPG12AE9v5+zPSRwpbeaWRaEE+449d5m7MQzKfGdxNph8CGu7oLeSEaxKCCXA2+Qct9e142AdVM4dcb6mnd5BKznz2aAEx2qFpsrVcqsG+3qxKiHUOQalo06rUpmybfb7ciIdvUNcrG1nS7o615dhUOY7Xn6wOFs5g+Jl8mB9crhzxqOUHwSTNyRunP2+nMjRsmY8xNyufzIlUm/XMuyG+vVWMoLNaRFcqGmno29odjtyDN5M2TZbSU4lv7wZm4TNGeqUiTIMykIgZRuBPVXQ3ai3khFsSo+kormH2rZZ1q8oz9V6Yt4BzhHmJPLLmlm5KJQQPzXcES4j9Xaw9EHNCb2VjCAnLQKbdEKV0Io8CIjUZgdQiMOlzQT6eLI6IXTyld2EYVAWAinbtHfF/NyOrvrhklm4JbrqoeGy9lBTiO4BC+dr2tk0H7O7RpOYAx5eWk9RIdYsDsPf28TR0llcX1JqBiV5K3io87iUUnKktInsFDNeJnV0qaPEwHXErmLIM1C59OG0qEBiQ3w5Uto08504xtgoZlAKKlqw2CQ5iowPcCk+gVoPUTGD4u3pQVZy+OzGozQVQXeDcu6u6pZeatv62JKh1vVlGJSFgIeJ9tCVUJ6n1LxLQgi2pEdytKx55mWByw9qkxRGr3SuuFlyqKQJPy8Ta5PUmpXWZaRuh/pLyrpV69pnmDbvSDZI2eYsSU7hiN1IqpZBaBiUBUJr+BrorNWyVRRic0YEXf0WLtR2TH9jm0274VO3K+WOAM2gbEw14+M5jyaEnAhHD1GxWRkcD9xjM3V7lR/QJlkNTXCiqtlzpKSJ+FA/kiPUihuqdRcauIzW8Fu1D2X79RUyik1pEXgIOFwyA7dX4xXoaVTO3VXV3EN1Sy9bM9XJvnE5MavAL1w5t1dGdCBRQT4cmolbdahPGyGffqfzhc0Cq31+uM3p6s0Pp4tBEUKECyH2CSFK7e9j+gWEENZh1Rp3D1ueLIQoEEKUCSH+ZC8XbDABA76RELkESvfpLWUEof7e3LIolMMzueEdD6+U7c4VNUsc57JVoXROl+PhofUUyw8q51bdmhHJkZKm6btVq46BpR/S1DIoFR02ugYsbE5X7/rSq4fyOHBASpkOHLB/H4u+YdUa7x22/D+An0gp04A24POulTtPSNsB1cdgsEdvJSPYkm4fL9A7zfEC5Qchark2uE4hDhU3kWT2J9GsljvC5aTeoQWwG9WalWFbZhSd/VrW3bQo2w+evsqV+73SYkUIlJm/azh6GZT7gOftn58H7p/qhkLr490OvDqT7Rc0aTu0EeVVR/VWMoItGZHYJNMbNT/YC9XHtVaxQgxYrOSXt7BlIfVOHDj+F4q5vTalR2DyEOQVT7MXXLYPkjZpg4MV4mKTle6VaRcAACAASURBVFviQwgLUM8xo5dBiZZS3rB/rgeix1nPVwhxWghxQgjhMBpmoF1K6ajOVAvEu1Dr/CFxozbBnWJxlNUJoQT5eE4vfbj6mFY9TzGDcrqqjb4h68JydzkIjoPIpcpdXyF+Xty6OJS8kmlkoLVWaoXD0na4TtgMaOkeoLLDxvYlUXpLGRNPV+1YCLEfiBnjp28O/yKllEKI8ZyuiVLKOiFECnBQCHEJmFY6kBDiEeARgOjoaPLy8qaz+U26u7tnvK0KdHd3k3f0OCuClxNwcTcF/u/XW9IIMkIl71ysZWdYy7iBxuH/g/SS3xLj4cOxahu22jz3CZ2El4sG8RQwVHeVvIbCEb/N9WsIJj+HFN8lLKr8G8f278Xq6e8+YZOw2GuQ/60a4nq8nNL/IK5uLxlAQWswfQr9z47VDSGBkJ4a8vKu6y3nvUgp3f4CioFY++dYoHgK2zwHfAQQQDPgaV++AXh7Ksddu3atnCm5ubkz3lYFbuoveFrKJ4OlbC7TVc9o/lhQLRMf2yOLbnSOu87Nc7DZpPzxCin/+An3iJsGd/3kkPzkM8fH/G2uX0NSTuEcKo9o19eV192iZ6pcqm2XiY/tkd/7wztT2+DFj0v5k5XataYQj/7xrFz5f96QVqt7dQGn5RSesXq5vHYDD9s/Pwy8PnoFIUSYEMLH/jkCyAGu2k8uF824jLu9wTik3aG9K+aWuN3ehd9f2DD5yk1F0HEN0ne6WNX0qO/op6i+a2G6uxwkZIFPCJS+rbeSESyPCyYyyIeLTdbJV7YMaNMUpe3QiogpgsVq41BxI7dEmvDwUEfXcPQyKD8C7hRClAI77N8RQqwTQvzGvs5S4LQQ4gKaAfmRlNKRPvIY8DUhRBlaTOVZt6qfy4SnaAO1FDMo0cG+rIwP4WDRFPzcJfaHVcZdrhU1TfKKNe0LMiDvwOSlNVpK9ylVxVEIwbaMSC43WydPH752HIZ6lBt/cvZaO539FlZFqjtYVheDIqVskVLeIaVMl1LukFK22pefllJ+wf45X0q5Ukq5yv7+7LDtK6SU66WUaVLKj0opB/Q4jzlL2g6oPKIN3FKI25dEcfZaG609k1RxLHlbq84YHOceYVNkf2Ej8aF+ZEYH6S1FXzLu0tKHb5zXW8kItmVG0Wth8vTh0n1aOQTFyknnFjfi6SFYbjYMioFKZNylTTdecUhvJSO4Y2kUUr7b0h+T3latOmO6Wr2TvkErR8uauHNZtHKjl91O2g5AQOk7eisZwaZ0bVaGCdOHpYTiN7UZlH0C3SduCuQWNbIuKQx/L3WvL5dlec0VhoaGqK2tpb9/4uJAISEhFBYWTriOyozQL2Nh16vQ7Q+jzsnX15dFixbh5eX+Gh4r4kKIDPLhQFEjH7p10dgrlR8EaYWMXe4VNwnHyprpH7KxY+l4GfALiIAIrfZ6yVuwbbwxy+4nxM+LtFAP9hc28C93ZY69UnMJtJZD9t+7V9wk1LX3UVTfxRN3LwFZo7eccVnwBqW2tpagoCCSkpImbFl2dXURFDR3XRnv0d/qB4PdEL3kZuBRSklLSwu1tbUkJye7XaOHh+COJVG8cfEGgxYb3p5jdKBL3gZ/M8Tf6nZ9E7G/sIEgH0/WJ4frLUUNMnbCwe9DVwMEqWNkb43y5OXiLq619LLYPEZac9Eb2nvm3e4VNgmOXvvtS6KoK1TXoCx4l1d/fz9ms3nhuSl8Q8BmgaF3qyUKITCbzZP21lzJ7Uui6BqwcLqq9b0/Sqs2ejntTvBQx49ss0n2FzayNTNybCO4EHG4JBVze90arV0371ytH3uF4jchdhWEjNND1omDhY0sCvMjLUotN9xojKsfFp4xAfANBgT0jxwnqvffIictAm9PDw6Mke0V3FkCfW3KZXddqG2nuXuAO5ep0xLXnZiVEBSnub0UIsrfgyUxQey7OkZ6encj1J6CTLUG/XYPWDhS1jwn4nOGQZkGJpOJ1atX33xVVVU5bd/t7e388pe/vPn9+vXrfOQjH5lgi1ni4anVYO+fQR0SFxLg48mGFDMHChscA1pvEtl0XCs16xhLowj7CxsweQi2Zag5HYYuCKG5jcoPavOuKcTOZdGcqmp9bzZh8ZuAhCXv00XXeOQVNzJosbFr+VgTj6iFYVCmgZ+fH+fPn7/5SkpKctq+RxuUuLg4Xn311Qm2cAK+Idr03Bb9XFxjsWNpFFUtvZQ2dr+7UErNoKRu13QrxP6rjdyWFEaIv/sTGZRm2b2aS1WxMU87l8dgk3Bg9CDa4r0QshiiV+gjbBzeulyPOcCbdUnqx+cMgzJLnnvuOR599NGb3++5556bcwUFBgbyzW9+k1WrVpGdnU1Dg3YBNzQ08MEPfpBVq1axatUq8vPzefzxxykvL2f16tV8/etfp6qqihUrtAu7v7+fz372s6xcuZI1a9aQm5t789gf+tCH2LVrF+np6XzjG98AwGq18pnPfIYVK1awcuVKfvKTn4wt3vFgVqyXctfyGISAvZduvLvwxnl8Bxph6b3jb6gD11p6KW7oMrK7xiJxk1Z0q3D35Ou6keVxwcSF+PLOcLfXYI9WbXLJ+5QaHd8/ZCW3qJGdy6MxKTo6fjgLPstrOvT19bF69WoAkpOTee211yZcv6enh+zsbH7wgx/wjW98g2eeeYZvfetbfPWrX2Xr1q289tprWK1Wuru7+dGPfsTly5c5f14bDDbcnfaLX/wCIQSXLl2iqKiInTt3UlKilfI9f/48586dw8fHh8zMTL7yla/Q2NhIXV0dly9fBrTez5h4+oCnn2ZQAtV5IEYF+3JbYjhvXqrn/9uRoS28uhuJB2KJWv5tR3DXMChjYPLUHtBXd2vTmXj66K0I0OKEO5fH8PKpa/QNWvHzNmmuOUs/ZKrl7sovb6Zn0Mpdc8DdBUYPZVoMd3lNZkwAvL29ueeee/5fe2ceF8WV7fHvtUHaDVBRUEHFXXaCGCduuMSoY9QkLtEsmqjZJpksM1l8vskk8zLPTDJvsk1ejNGoeVFjYjQa97jFfUVQBNzFgKCACiJ7931/VKsgAt3QTXXr/X4+/aGr+lbVr5rqOnXuPfccAKKiom4Yic2bN/P881qcu8FgwMur6i6cHTt28PjjjwPQrVs32rVrd8OgDBo0CC8vL4xGI0FBQaSkpNChQwdOnz7NSy+9xLp16/D09Kx850Yv7enMZGNxKwczPNSPYxeucvJinjbZLGklV7xDoKFzuf2rj6TTvZUn7Z2strfT0H0UFOU6Xa35+4N8KSwx36wUmrxG+y20u09fYbewLiGDJh5u3NfRR28pVqEMSi1xc3PDXCZnUdmQW3d39xtRGQaDgdLS0grb1xYPj5tPfdeP0bRpU+Lj44mJiWHWrFlMnTq18h008LYIt7GanYMZGqJVYVx7JB0uJkH2STJbONePPfVyPofOXWFEmHNVjHQqOvQHD0/NS3EiegY2w9PoxvqjGZr3lLxa804MzjMOVmoy80viBQZ2b+ky4eiuodKJad++PXFxcZjNZn777Tf27dtX7TaDBg3iiy++ALTxjpycHJo0acLVq1dv275v374sXLgQgOPHj3Pu3Dm6dq1kpi+QlZWF2WzmkUce4b333iM2NrZyMW5G7VXgXAbFz8tIVLumrEnIsPTBC7J8euktqxyrD2tjPA+GOVdOMafCzUPLanBstVN5we6Getwf5McviRcoTt4ARTkQ4sCoyhqw7+wlLueXuER013WUQaklvXv3JjAwkKCgIP74xz9yzz3Vz+D+5JNP2LJlC6GhoURFRZGYmEjz5s3p3bs3ISEhvP766+Xav/DCC5jNZkJDQxk/fjzz588v55ncSlpaGjExMURERPD4448zc+bMysUIAQ2aarPmS6tJyljHDAvxIyk9l+IjP0HbXhR7NNVbUjlWH0knzN/r9jOuFTcJGqnNH3Ky0tMjI1pztbCU7L2LtewLHfrrLakc6xMy8HCrR/+urpO9Wg3K20BeXl6FdUKIG95DVe3HjBlzY16Jr68vK1ZULOGyaNGicsvXB9WNRiPz5s2r0H7y5MlMnjz5xvKqVatuvL/VK6nM+9EO4A1X07Vur8bOM5diWGgrvl2zmfrZSdBjJjhRTumU7GscTs3hP4Z301uK89NxkFZ6OmmlU5Vs7t2xOW0ammmWugmiJjpdd9eahAxiuragYX3XuU0rD0UB7kZwb6A9RToRbbwbMLVpvLbQ/UF9xdzCKkt31/BQNX5SLfUbasXQElc6VbeXm6EeL7c9hYcsJL/raL3llGPnqWwyrxYxOqKN3lJsQhkUhUaDptoktFIncgOkZAS/ssfcnTOlzhXdtepwOpFtvfFvqrq7rCJsPORnaeG5TsT95p1kyKasy22vt5Ry/HQoDU+jGwO6OU+PgTXoYlCEEM2EEL8IIU5Y/lboHBdCDBBCxJV5FQohRls+my+EOFPms4i6P4s7DKMl2suZvJS0g3jnp7Dc1Jdlsal6q7nBqcw8ktJzGaEG462n02BtnCJ+sd5KblKYg3faVn5168PKw1aUnq4jrhWVsi4hg9+HtcLo7jxJUK1BLw/lLWCTlLIzsMmyXA4p5RYpZYSUMgIYCOQDZVOXvn79cymlc5WGc0XcPMC9kXNFe8UtAjcjlwOH8+PBVMy35PbSi5/jzwPwe9XdZT1u9bUoquQ1zvPQkrwaYSqmqNtotp/IIjvPObzzDYkZFJSYeCjSuTIeW4NeBmUUsMDyfgFQXQfmGGCtlNK5sszdaTRoqlVydIZ+7tIiSPgRuo1gRHRXzucUknxJ/xrlZrPkhwOp9Onkg5+XUW85rkXEBDAVwdGf9FaiceQH8G5LdO/7MZmlFqLuBCyLTaONdwN6tHOuqEZr0Ct8wFdKeT1RUwZQXd6KR4F/3bLu70KIt7F4OJXVlRdCPAM8A1p01fU8W9fx8vKqOgLKgslksqqds2KNfmF2pxGC0vycCt9TXeOTuZuQwiscFsEYs47RwA22nC0gSGddCVkm0q4U8mA7s83fUV5enu7fa22p1TlISXTDAEq3fcmhvLov4AY39RsLLnDvqS2ktBtHxrFY2jQWLNiaSEDhGV10XedKoZkdJwoY0cGdbdtuX6Lbqa8jKaVDXsBGIOE2r1HAlVvaXq5iP62ATMD9lnUC8EDzcN62RlNUVJS8lcTExArrbkdubq5V7WrCe++9J4OCgmRoaKgMDw+Xe/bskVOmTJFHjx612zGs1p99Wibu3iBlcYHdjl0jFk2Q8sMuUpaWSCmlnL7ssOw8fZXMLSjWVdYfFh6U4e+ulwXFpTZvu2XLFvsLqmNqfQ7b/yXlXz2lzD5lFz22ckP/pv+S8q9eUl4+J6WU8stfT8p2b66SxzIc9zu3hq+2nZLt3lwlT1y4WmkbPa4j4IC04h7rsC4vKeVgKWXIbV4rgAtCiFYAlr8VqyndZBywXEp5ox9GSpluOc8iYB7Q01Hn4Wh2797NqlWriI2N5fDhw2zcuJGAgADmzJlDUFBQ3Qtq5APSrG+G2GvZcGI9hI3VEgwCY6L8KTbD2iP6dUtcvlbMhqMXeCiyjcsNljoNoeMAAfFL9NNgKoVD30Ln+8E7AIAxUQHUN9Rj0d5zusmSUvJjbBph/l5OX5mxMvQaQ1kJTLK8nwRUnOV3kwlAudCQMsZIoI2/JDhAY52Qnp6Oj4/PjZnvPj4+tG7dmpiYGA4cOABUngY/MzOTRx55hOjoaKKjo9m5c2ftBdVvrBWxOrig+raO4sgPWnni8Ak3VkUGeOPXSLD0oH7RXssPpVFsMjM+OkA3DS6PVxvoEAPxi8Bs0kfDiQ3aRN6oyTdWNWtUn2GhfvwYm0pBsT66Ys9dJik9l7E9XPf60msM5X3geyHEFCAFzQtBCNEDeE5KOdWy3B4IAG7tTFwohGiB1u0VBzxnD1Hv/nyUxPO5t/3MZDJhMNj+VBrU2pO/Phhc6edDhgzhb3/7G126dGHw4MGMHz+e/v3Lp4CoLA3+yy+/zKuvvkqfPn04d+4cDzzwAElJSTZrLIcQWiXHlB2QdQJ8Otduf7ZiNsO+2dCmB/je/N6EEPRp48bS45c4nZlHhxZ1+wQnpWTJ/t8ID/Cmm18V2ZsV1RM1CX6YrN3Yuw6r++MfnA+N/W7Wvbfw2L3tWBF3np8Pn2ecDjf1BbtSaGJ04+FI15rMWBZdPBQpZbaUcpCUsrOla+ySZf2B68bEsnxWStlGSmm+ZfuBUspQSxfa41LKijlRXITGjRtz8OBBZs+eTYsWLW7k6ipLZWnwN27cyIsvvkhERAQjR44kNzf3tulhbKZ+I61EcKwOXsrJjXDpFPR6vsJHfdu4U99Qj/m7zta5rPjUHI5duMp4F356dBq6PQiebWDPF3V+aI/CTDj5C0Q+fqM79TrR7ZvSqWVjFurQ7XUxt5A1R9IZGxVAIw/XSbVyK66r3AFU5UlcvXqVJk2aOOS4BoOBmJgYYmJiCA0NZcGC8jfyytLgm81m9uzZg9Fo5/DVegbtyTFuEQz8S90WRtr7BTRpBUGjKnzk5SEYGdGaHw6k8tr9XfBuWL/OZH27J4UG7gYeDFdzT2qNwQ2ip8Kmd+FCIvjW3VihX8YmbYzwnicqfCaE4LF72/Luz4kkpOUQ0qbuSk0v3vcbpWbJE79rV2fHdAQq9YrOHDt2jBMnTtxYjouLo1076y6qIUOG8Nlnn5Xb1m5ETYb8bDhafSExu5F5TEvN0WNKpYn6nu4dSEGJicX7fqszWek5BayIS2NcD3+aGJ0ngaBLEzVZK5uw78u6O2ZpEa3Pr4eOA6Fp+9s2eTjSHw+3eizaV3deSonJzMK9KfTv0oJAFy/UpgyKzuTl5TFp0iSCgoIICwsjMTGRd955x6ptP/30Uw4cOEBYWBhBQUHMmjXLfsI6DISWwbDjI21coy7Y+yUYPKDHU5U2CWrtSe9OzVmw6ywlprrR9fWOM5glTO3boU6Od1fQsBmEjdOivfIv1c0x4xfjUXwJ7nup0iZeDd0ZGd6a5bFpdTZzfl1CBhevFjHpPtf2TkB1eelOVFQUu3btqrC+7MSlytLg+/j4sGSJg8Iv69WDvq/Bj1O04kiOzvZbcFnL8xQ6VgtdroIpfQJ5ev4B1hxJZ5SDs7Hm5JewaO85RoS1IqCZSgRpV+59DmK/0cbq+rzq2GOZSmHHx+Q26YRnh6pT6D/bvyNLY1OZs+MMbw51fHmCBbvO0rZZQ2K6uFYiyNuhPBRF5QSNhqaBsP1/tLrujuTgAi3b8b3PVts0pktLOrRoxNwdZ65PdHUY3+5N4VqxiWf7dXToce5KfIMhsB/s+8rxxd0Sf4LLZzjXdowWyVgFnVo25vehrfhm11mu5DtW166TWRxIucxTvdtTr17VulwBZVAUlWNwgz6vwPlDcHqL445TmAM7P9b6tluFVdu8Xj3BU70DOZyaw65T2Y6TVWJi3s4z9O/SgqDWKlTYIfR+BXLT4GDFAnJ2w2zWHop8upLlc69Vm7w4sBPXik18vcNxqViklHy44RitvIxM6NnWYcepS5RBUVRN+ARo0hq235pKzY7s/FTr8hr8jtWbjI3yp7WXkZlrkzCbHeOlLD2YSlZeMc/1V96Jw+g4ENr3hV8/gCIH5co7sR4uJmpduMK6W143P0+GBvsxb9dZcgockyx1c/JFDp27wksDO98xmReUQVFUjZuHNoh5djukVBzrqTVXM2DP/0LII9Aq3OrNjO4G/vxAVxLScllpSSdvT/KKSvl00wnuaetNrw7OVdzrjkIIGPyuVnxr9+f237/ZrBkr77baNWYDLw7sxNXCUhY4YN6T2Sz554bjtGvekLE9XC9NfWUog6KonqhJ2kS0NW9og5v25NcPwFQMA2bYvOnoiDYEt/bkw/XHKCyxb7qMzzad4OLVIt5+MPjGHCCFg/CPgu4jYddnkJdp333HL4LzsdD/TZtrxoe08WJw95bM2X6aLDtHfK1NyCApPZdXBnfG3XDn3IbvnDNROI76jWDoTLhwREuLYi+yT2kRPlGTobnt3Ur16glmDO9O2pUCu86eP3kxj7k7zjCuhz8RAd5226+iCga9DSUFsP2f9ttn/iXY8BcI6AXhE2u0i7eGdaOgxMR/rUq0m6ziUjP/88sxOrdszMhw102zcjuUQXECMjIyePTRR+nYsSNRUVEMHz6c48eP27SP4cOHc+WKA6stdh8Jne6HLX+HXDt0MUkJ66aDoT70e6PGu7mvkw8Durbg8y0nuXSt9hE5Ukre/fkoDeobeKMOQkYVFnw6a+lQ9s+FDDvlet34jhbwMeJfWhh8DejUsgkvxHRiRdx5th6rKim69Xyy6TinM68xfXg3DHdAZFdZlEHRGSklDz30EDExMZw6dYqDBw8yc+bMGxmFrWXNmjV4ezvwaVoIGP6BlgV4/X/Ufn/752iDpYP+Ck2qq69WNdOHd6ewxMQbSw/XOox4Q+IFtp/I4tXBXfBpXIcpZxSal9KwmTb3qaSgdvv6bZ/m/fZ6vlyS0ZrwwoCOdGzRiP/8KYH84tp1+R5MucwXW08xroc/A7vV7rp3RpRB0ZktW7bg7u7Oc8/dTJgcHh5Onz59eP311wkJCSE0NPTGBMb09HT69etHREQEISEhbN++HYD27duTlZXF2bNn6d69O9OmTSM4OJghQ4ZQUKD9OE+dOsXQoUOJioqib9++JCcn2ya2WQfo+yctHUvympqf9IVEWD9D83ismHdSHV18mzB9WHc2Jl1gbi3CPNOuFDBj+RG6+jZx+ZxKLkkjHxj9BWQmw4b/rPl+ivNh1atadGLM9FrL8nAzMPPhMFIvF/DRL7b1HJQlv7iUP30fRyuvBvxlhA61juoANVO+LGvfgowjt/2ogam0QnZSq/ALhWHvV/pxQkICUVFRFdYvW7aMuLg44uPjycrKIjo6mn79+rFo0SIeeOABZsyYgclkIj8/v8K2J06cYPHixXz11VeMGzeOH3/8kVGjRvHMM88wa9YsOnfuzN69e3nhhRfYvHmzbefT+2VI+hmWTYOn1lo1b6QcJQXaE6jRU7t52GnA+6ne7dlzOpv31yYT1a4pkW1tq8edX1zKtAUHKCox8/ljkXfUQKlL0WkQ/O5F2P1v6DTY9vT2ZpN2bV44ChO/Bw/7lDnoGdiMCT3bMmfHGSLbNmV4qO1JQt9fm0zKpXwWT+t1x+aEU78aJ2XHjh1MmDABg8GAr68v/fv3Z//+/URHRzNv3jzeeecdjhw5ctsMyIGBgURERAA3093n5eWxa9cuxo4dS0REBM8++yzp6em2C3Pz0H6oRm9YNA5ybCh4ZTbBqte0OQGjZ0HjFrYfvxKEEHw4Jhw/LyMvLjrEZRvGU8xmyZ++jyc5I5dPJ0bSqaVjskorrGTQ29qD2E8vwEUbvej1MyB5FQx9H7oMsaust0cEEdW2Ka98F8eOE1k2bTt72ym+2Z3C070D6dWhuV11ORO6eChCiLHAO0B3oKeU8kAl7YYCnwAGYI6U8n3L+kDgO6A5cBB4QkpZ+xHZKjyJAgelrw8ODmbp0qVWt+/Xrx/btm1j9erVTJ48mddee40nn3yyXJvr1R9BS3dfUFCA2WzG29vbPhmJPVvBY9/D10Nh4VjNU2lQzfhNSQH8OFX7scdMh86Da6/jFrwauvPvifcwbtZuHvliF3MnR1ebvdVklvxjXTJrEzKYMbw7A7q6fj4ll8fNA8bMh/nD4esHYOISaNur+u32fKGVP+j1AvSyS829cjSob2DupGjGz97NM/93gMXTehFeTRSglJJPN53ko43HGRHWireG3dmBHnp5KAnAw8C2yhoIIQzA58AwIAiYIIS43vH4D+AjKWUn4DIwxbFyHcfAgQMpKipi9uyb4biHDx/G29ubJUuWYDKZyMzMZNu2bfTs2ZOUlBR8fX2ZNm0aU6dOJTY21qrjeHp6EhgYyA8//ABoF3p8fHzNhfsGw7hvIOs4fNkXTm6qvG3BZfi/hyB5NQz9B8S8VfPjVkNEgDffTr2Xy/nFjP58J7tOVv4kmXalgIlf7WH2ttNMvLctU/sGOkyXwkZ8OsGUDdCwOXwzSrt2KiP/Eix/Dta9Bd1GwJD3HCbLq6E73zzdk+aN6/Pk1/v4/sBvlWZqKDGZeX9tMh9tPM6YKH8+efTO70rVq2JjkpTyWDXNegInpZSnLd7Hd8AoSx35gcD1x/oFaHXlXRIhBMuXL2fjxo107NiR4OBgpk+fzsSJEwkLCyM8PJyBAwfywQcf4Ofnx9atWwkPDycyMpIlS5bw8ssvW32shQsXMnfuXMLDwwkODmbFihW1E99xAExeraWc//ZhWP48nI+DAkv4cuYxrQvisx6QdhDGfO2QJ8db6RnYjBV/6EPLJh488fU+Xv8hns3JFygqNVFiMpOUnsv8nWcY+vE2EtJy+HBMGH8fHaImMDobTdtrRsU3GL57THsoSVgGpUVgKoFLp7UicJ/3hCM/QN8/a9dYPcemMWnpaWThlF50bNGIN5YeZvT/7mT3qWyu5BdjMktyC0v48tdT9P3HFr7cdprH7m3LB4+E3XEhwrdDODpba5UHF2Ir8OfbdXkJIcYAQ8vUl38CuBetq2yPxTtBCBEArJVShlR3vB49esgDB8ofKikpie7du1er1ZEVG+sCW/Rb+53coKQQtn0AOz/RwooBPDyhKFcrJdx1mJYE0L9HDZTfZOvWrcTExFjd/mphCX9fncTqw+lcLSqlUX0DJWZJcalWRyWyrTcfj4+gXfO6KWpkq35nRJdzKL6m5Xs79C3kpoJ7Qygt1CovArSOhJGfaeMu1WBP/VJKfopL4/21yVzIvTmT3lBPYDJL7uvYnGl9OxDTtYVdH1b0+B8IIQ5KKav9ATvMoAghNgJ+t/lohpRyhaXNVhxsUIQQzwDPAPj6+kZ999135T738vKiU6dO1Z6PyWTCYHDdBG62cKeM3AAABrxJREFU6D958iQ5OTk2H8NYcIHGeadoUHABY+FFChr4csE3hpL69pkfk5eXR+PGtkftlJolidkm4i6aqG8QtPesRzvPevg2EtSrQ6+kpvqdCV3PQZpoejken6z9lLg3ptDoS0EDP3I9uyOt9Eocob+wVBJ70cTVYkl+iaTEDD39DLT3csz9Qo//wYABA6wyKA4blJdS1nbUNQ0IKLPsb1mXDXgLIdyklKVl1lemYzYwGzQP5VbLnpSUZNWT+93koRiNRiIjI+1y3OpNtfXU5snM/iEAtqM8FHswqFZbO0r/ULvvsXL0/x9UjjOPEO0HOgshAoUQ9YFHgZVSc6m2AGMs7SYBtRwMUCgUCkVt0cWgCCEeEkKkAr8DVgsh1lvWtxZCrAGweB8vAuuBJOB7KeVRyy7eBF4TQpxECx2eWxs9eo4jORvqu1AoFDVFl3koUsrlwPLbrD8PDC+zvAaokONDSnkaLQqs1hiNRrKzs2nevPldH+UjpSQ7Oxuj0ai3FIVC4YLc9alX/P39SU1NJTOz6joMhYWFLn2jtVa/0WjE3//OKfijUCjqjrveoLi7uxMYWP2Etq1bt9ptoFoPXF2/QqFwfpx5UF6hUCgULoQyKAqFQqGwC8qgKBQKhcIu6Jp6pa4RQmQCKTXc3AewLWe1c+Hq+sH1z8HV9YPrn4Or6wd9zqGdlLLaehN3lUGpDUKIA9akHnBWXF0/uP45uLp+cP1zcHX94NznoLq8FAqFQmEXlEFRKBQKhV1QBsV6ZlffxKlxdf3g+ufg6vrB9c/B1fWDE5+DGkNRKBQKhV1QHopCoVAo7IIyKFYghBgqhDgmhDgphHBcQXQHIIQIEEJsEUIkCiGOCiGsrxnsRAghDEKIQ0KIVXprqQlCCG8hxFIhRLIQIkkI8Tu9NdmCEOJVy/WTIIRYLIRw+sR2QoivhRAXhRAJZdY1E0L8IoQ4YfnbVE+NVVGJ/g8t19BhIcRyIYR9qtfZCWVQqkEIYQA+B4YBQcAEIUSQvqpsohT4k5QyCOgF/MHF9F/nZbQyBq7KJ8A6KWU3IBwXOhchRBvgj0APS2VUA1p9ImdnPhVrX70FbJJSdgY2WZadlflU1P8LECKlDAOOA9PrWlRVKINSPT2Bk1LK01LKYuA7YJTOmqxGSpkupYy1vL+KdiNro68q2xBC+AO/B+boraUmCCG8gH5Y6vZIKYullFf0VWUzbkADIYQb0BA4r7OeapFSbgMu3bJ6FLDA8n4BMLpORdnA7fRLKTdYakUB7EGrWOs0KINSPW2A38osp+JiN+TrCCHaA5HAXn2V2MzHwBuAWW8hNSQQyATmWbrt5gghGuktylqklGnAP4FzQDqQI6XcoK+qGuMrpUy3vM8AfPUUU0ueBtbqLaIsyqDcJQghGgM/Aq9IKXP11mMtQogRwEUp5UG9tdQCN+Ae4AspZSRwDefuaimHZZxhFJphbA00EkI8rq+q2mMpJ+6SYa5CiBlo3dkL9dZSFmVQqicNCCiz7G9Z5zIIIdzRjMlCKeUyvfXYSG9gpBDiLFp340AhxLf6SrKZVCBVSnndM1yKZmBchcHAGSllppSyBFgG3KezpppyQQjRCsDy96LOemxGCDEZGAE8Jp1s3ocyKNWzH+gshAgUQtRHG4xcqbMmqxFaXeO5QJKU8l9667EVKeV0KaW/lLI92ne/WUrpUk/HUsoM4DchRFfLqkFAoo6SbOUc0EsI0dByPQ3ChYIKbmElMMnyfhKwQkctNiOEGIrW/TtSSpmvt55bUQalGiwDYC8C69F+RN9LKY/qq8omegNPoD3Zx1lew/UWdRfyErBQCHEYiAD+W2c9VmPxrJYCscARtPuG087Wvo4QYjGwG+gqhEgVQkwB3gfuF0KcQPO83tdTY1VUov/fQBPgF8tveZauIm9BzZRXKBQKhV1QHopCoVAo7IIyKAqFQqGwC8qgKBQKhcIuKIOiUCgUCrugDIpCoVAo7IIyKAqFQqGwC8qgKBQKhcIuKIOiUOiIECLaUtvCKIRoZKk5EqK3LoWiJqiJjQqFzggh3gOMQAO0nF8zdZakUNQIZVAUCp2x5IjbDxQC90kpTTpLUihqhOryUij0pznQGC1Hk9OX1lUoKkN5KAqFzgghVqKl5g8EWkkpX9RZkkJRI9z0FqBQ3M0IIZ4ESqSUi4QQBmCXEGKglHKz3toUCltRHopCoVAo7IIaQ1EoFAqFXVAGRaFQKBR2QRkUhUKhUNgFZVAUCoVCYReUQVEoFAqFXVAGRaFQKBR2QRkUhUKhUNgFZVAUCoVCYRf+H1cPh5/RE/6FAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(x, y1, label='Sine')\n", "ax.plot(x, y2, label='Cosine')\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('f(x)')\n", "ax.grid()\n", "ax.legend(title='Functions')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(x, y1, label='Sine')\n", "ax.plot(x, y2, label='Cosine')\n", "ax.fill_between(x, y2, y1, color='C2', alpha=0.25)\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('f(x)')\n", "ax.grid()\n", "ax.legend(title='Functions')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Let's try to make some plots based on the text file people.txt that we created in the first part of these lectures. (If you lost it, you can download it [here](https://icecube.wisc.edu/~icecube-bootcamp/public_html/bootcamp2019/introduction/people.txt))." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#!/usr/bin/env python3\n", "\n", "f=open(\"people.txt\",'r+')\n", "\n", "# Reserve two python lists for the names and ages in the txt file\n", "names = []\n", "ages = []\n", "\n", "# Loop over the lines in the file and fill the lists\n", "for line in f:\n", " names.append(line.split()[0])\n", " ages.append(int(line.split()[1]))\n", "\n", "# Make a plot\n", "fig, ax = plt.subplots(figsize = (8,5))\n", "\n", "bar_width = 0.75\n", "opacity = 0.6\n", "\n", "bars = ax.bar(names, ages, bar_width,\n", " alpha=opacity, color='r')\n", "\n", "ax.set_xlabel('Name')\n", "ax.set_ylabel('Age')\n", "ax.set_title('Ages of people in people.txt')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " We could also make two data series for the men and women separately. We could (and should) have done that by adding another column 'gender' in the txt file, but let's take another approach in the example below where we use a dictionary instead." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#!/usr/bin/env python3\n", "\n", "people = {'James':[24,'m'],'Jane':[40,'f'],'Sam':[12,'m'],'Ben':[1,'m'],'Debbie':[20,'f'],'Peggy':[30,'f'],\\\n", " 'Chuck':[67,'m'],'Mary':[8,'f'],'Buck':[30,'m'],'Burt':[100,'m']}\n", "# Loop over the lines in the file and fill the lists\n", "male = []\n", "male_ages = []\n", "female = []\n", "female_ages = []\n", "\n", "for key,value in people.items():\n", " if value[1] == 'm':\n", " male.append(key)\n", " male_ages.append(value[0])\n", " if value[1] == 'f':\n", " female.append(key)\n", " female_ages.append(value[0])\n", "\n", "# Make a plot\n", "fig, ax = plt.subplots(figsize = (8,5))\n", "\n", "bar_width = 0.75\n", "opacity = 0.6\n", "\n", "male_bars = ax.bar(male, male_ages, bar_width,\n", " alpha=opacity, color='b')\n", "\n", "female_bars = ax.bar(female, female_ages, bar_width,\n", " alpha=opacity, color='r')\n", "\n", "ax.set_xlabel('Name')\n", "ax.set_ylabel('Age')\n", "ax.set_title('Ages of people in people.txt')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Finally, we can make a histogram of the ages, print out some statistics, and let one of the bins stand out by changing the color." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average age is 33\n", "Standard deviation is 28\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#!/usr/bin/env python\n", "\n", "f=open(\"people.txt\",'r+')\n", "\n", "# Make a list of all the ages in the dataset using Python's list comprehension\n", "ages = np.array([int(line.split()[1]) for line in f])\n", "mu = ages.mean()\n", "sigma = ages.std()\n", "\n", "print('Average age is {:.0f}'.format(mu))\n", "print('Standard deviation is {:.0f}'.format(sigma))\n", "\n", "# Make a plot\n", "fig, ax = plt.subplots(figsize = (8,5))\n", "\n", "# Bin the data using the ax.hist command\n", "n, bins, patches = ax.hist(ages, 10,color='b',alpha=0.6)\n", " \n", "ax.set_xlabel('Age')\n", "ax.set_ylabel('Number of people')\n", "ax.set_title(r'Histogram of ages: $\\mu={:.0f}$, $\\sigma={:.0f}$'.format(mu,sigma))\n", "ax.set_yticks([1,2,3,4])\n", "plt.setp(patches[-1], 'facecolor', 'g')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other Python packages to check out\n", "--------------------------------------------------------------------------\n", "\n", "[[back to top](#top)]\n", "\n", " * [Scipy](https://www.scipy.org) The SciPy (Scientific Python) package extends the functionality of NumPy with a substantial collection of useful algorithms, like minimization, Fourier transformation, regression, and other applied mathematical techniques. You can import scipy into your program using any of the aforementioned methods using scipy as the package, however odds are your package of interest lies within a project which you need to import explicitly to use, see the examples below. I won't go into details on the use of scipy functions because there are just too many. You can find them on their documentation page and I have provided a list of some common functions below. Scipy and numpy work hand in hand so use scipy to preform operations on your arrays rather then writing them by hand.\n", "\t + scipy.stats - Everything statistics.\n", "\t + scipy.constants - Physical and mathematical constants\n", "\t + scipy.fftpack - Fourier transform\n", "\t + scipy.integrate - Integration routines\n", "\t + scipy.interpolate - Interpolation\n", "\t + scipy.linalg - Linear algebra routines\n", "\t + scipy.ndimage - n-dimensional image package\n", "\t + scipy.special - Any special mathematical functions\n", "\t \n", " * [Pandas](http://pandas.pydata.org) — High-performance data analysis toolkit\n", " * [Seaborn](http://seaborn.pydata.org/) — Statistical data visualization using Matplotlib\n", " * [Scikit-learn](http://scikit-learn.org/stable/) — Machine learning library\n", " * [Jupyter](http://jupyter.org/) — Document that combined code, markdown documentation, images, etc. Ideal for documenting an analysis." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Additional exercises\n", "==============================================\n", "\n", "#### If you're still up for it, here are some additional exercises :)\n", "\n", "[[back to top](#top)]\n", "\n", " 1. Use the ipython terminal to prototype a function that prints the first 100 terms of the Fibonacci sequence. Save your lines of code to a file named fibscript.py so you can use it later.\n", " + Write a script called mcpi.py that calculates pi by drawing random numbers uniformly on the space x=(-1,1) y=(-1,1).\n", "\t * Hint: Write out the area of a circle and a square and take the ratio.\n", "\t * Super Hint: The number of things falling randomly in a given area are proportional to their area.\n", "\t \n", " + Write a script called peopletodict.py to make a dictionary from people.txt where the keys are the names and the values are the ages.\n", " " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 1 }