{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "![PyData_logo](./static/pydata-logo-madrid-2016.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Basic Python Packages for Science\n", "## The Aeropython’s guide to the Python Galaxy! " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![Aropython_logo](./static/aeropython_name_mini.png)\n", "###### Siro Moreno Martín\n", "###### Alejandro Sáez Mollejo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 0. Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Python in the Scientific environment " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Principal Python Packages for scientific purposes " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Anaconda & conda" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![conda](./static/conda.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "http://conda.pydata.org/docs/intro.html\n", "\n", "Conda is a package manager application that quickly installs, runs, and updates packages and their dependencies. The conda command is the primary interface for managing installations of various packages. It can query and search the package index and current installation, create new environments, and install and update packages into existing conda environments. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import HTML\n", "HTML('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Main objectives of this workshop " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Provide you with a first insight into the principal Python tools & libraries used in Science:\n", " - conda.\n", " - Jupyter Notebook.\n", " - NumPy, matplotlib, SciPy\n", "* Provide you with the basic skills to face basic tasks such as:\n", " - \n", "* Show other common libraries:\n", " - Pandas, scikit-learn (some talks & workshops will focus on these packages)\n", " - SymPy\n", " - Numba ¿?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Jupyter Notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![jupyter](./static/jupyter-logo.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Jupyter Notebook is a web application that allows you to create and share documents that contain live code, equations, visualizations and explanatory text. Uses include: data cleaning and transformation, numerical simulation, statistical modeling, machine learning and much more.\n", "\n", "It has been widely recognised as a great way to distribute scientific papers, because of the capability to have an integrated format with text and executable code, highly reproducible. Top level investigators around the world are already using it, like the team behind the Gravitational Waves discovery (LIGO), whose analysis was translated to an interactive dowloadable Jupyter notebook. You can see it here: https://github.com/minrk/ligo-binder/blob/master/GW150914_tutorial.ipynb" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2. Using arrays: NumPy " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![numpy-logo](./static/numpy.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### ndarray object " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "| index | 0 | 1 | 2 | 3 | ... | n-1 | n |\n", "| ---------- | :---: | :---: | :---: | :---: | :---: | :---: | :---: |\n", "| value | 2.1 | 3.6 | 7.8 | 1.5 | ... | 5.4 | 6.3 |" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* N-dimensional data structure.\n", "* Homogeneously typed.\n", "* Efficient!\n", "\n", "A universal function (or ufunc for short) is a function that operates on ndarrays. It is a “vectorized function\"." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# importing numpy\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1000 loops, best of 3: 1.54 ms per loop\n" ] } ], "source": [ "# performance list sum\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10000 loops, best of 3: 97.8 µs per loop\n" ] } ], "source": [ "# performance array sum\n", "\n", "%timeit np.sum(array)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Array creation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1, 2, 3, 4])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "one_dim_array = \n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[1, 2, 3],\n", " [4, 5, 6],\n", " [7, 8, 9]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "two_dim_array = \n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "9" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# size & shape\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(3, 3)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "dtype('int64')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# data type\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# usual arrays\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 1, 2, 3, 4],\n", " [ 5, 6, 7, 8, 9],\n", " [10, 11, 12, 13, 14]])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# changing the shape\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 0. , 0.5, 1. , 1.5, 2. , 2.5, 3. , 3.5, 4. ,\n", " 4.5, 5. , 5.5, 6. , 6.5, 7. , 7.5, 8. , 8.5,\n", " 9. , 9.5, 10. ])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# linspace\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Basic slicing " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "one_dim_array" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "9" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "two_dim_array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`[start:stop:step]`" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32,\n", " 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66,\n", " 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[0, 1, 0, 1, 0, 1, 0, 1],\n", " [1, 0, 1, 0, 1, 0, 1, 0],\n", " [0, 1, 0, 1, 0, 1, 0, 1],\n", " [1, 0, 1, 0, 1, 0, 1, 0],\n", " [0, 1, 0, 1, 0, 1, 0, 1],\n", " [1, 0, 1, 0, 1, 0, 1, 0],\n", " [0, 1, 0, 1, 0, 1, 0, 1],\n", " [1, 0, 1, 0, 1, 0, 1, 0]])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Chess board\n", "chess_board = np.zeros([8, 8], dtype=int)\n", "# your code\n", "\n", "chess_board" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "array([[0, 1, 0, 1, 0, 1, 0, 1],\n", " [1, 0, 1, 0, 1, 0, 1, 0],\n", " [0, 1, 0, 1, 0, 1, 0, 1],\n", " [1, 0, 1, 0, 1, 0, 1, 0],\n", " [0, 1, 0, 1, 0, 1, 0, 1],\n", " [1, 0, 1, 0, 1, 0, 1, 0],\n", " [0, 1, 0, 1, 0, 1, 0, 1],\n", " [1, 0, 1, 0, 1, 0, 1, 0]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2. Drawing: Matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![Matplotlib-logo](./static/matplotlib.png)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# drawing the chessboard\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Operations & linalg " ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# numpy functions\n", "x = \n", "y = " ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plotting\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# another function" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[10, 40, 77],\n", " [25, 25, 68],\n", " [33, 16, 91]])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# transpose\n", "two_dim_array = \n", "\n" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 3641, 3119, 3733],\n", " [ 2632, 2713, 3176],\n", " [10497, 9813, 11910]])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# matrix multiplication\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 240.4, 250.8, 783.1])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# matrix vector\n" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[-0.05372256, 0.00140303, 0.01923512],\n", " [ 0.10898393, 0.07381761, -0.05250057],\n", " [-0.03598099, -0.05634759, 0.03394433]])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# inv\n" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 133.6946629, -17.266221 , 9.5715581]),\n", " array([[-0.29580975, -0.74274264, 0.0661375 ],\n", " [-0.24477775, 0.65983255, -0.79576005],\n", " [-0.92335283, 0.1138173 , 0.60198985]]))" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# eigenvectors & eigenvalues\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Air quality data " ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import HTML\n", "HTML('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Loading the data " ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estación: Barrio del Pilar;;;;\r\n", "Fecha;Hora;CO;NO2;O3\r\n", ";;mg/m³;µg/m³;µg/m³\r\n", "22/03/2016;01:00;0.2;14;73\r\n", "22/03/2016;02:00;0.2;10;77\r\n", "22/03/2016;03:00;0.2;9;75\r\n", "22/03/2016;04:00;0.2;3;81\r\n", "22/03/2016;05:00;0.2;3;81\r\n", "22/03/2016;06:00;0.2;6;79\r\n", "22/03/2016;07:00;0.2;24;59\r\n" ] } ], "source": [ "# Linux command \n", "!head ./data/barrio_del_pilar-20160322.csv\n", "\n", "# Windows\n", "# !gc log.txt | select -first 10 # head" ] }, { "cell_type": "code", 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66. , 27. ],\n", " [ 0.3, 51. , 38. ],\n", " [ 0.3, 42. , 46. ]])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# loading the data\n", "# ./data/barrio_del_pilar-20160322.csv\n", "data2016 = " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Dealing with missing values " ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ nan, nan, nan])" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# mean\n" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([ 0.33717277, 29.79581152, 55.47643979])" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "masked_array(data = [0.3371727748691094 29.79581151832461 55.47643979057592],\n", " mask = [False False False],\n", " fill_value = 1e+20)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# masking invalid data\n" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data2015 = " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Plotting the data " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Maximum values ** from: http://www.mambiente.munimadrid.es/opencms/export/sites/default/calaire/Anexos/valores_limite_1.pdf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* NO2\n", " - Media anual: 40 µg/m3\n", " - **Media horaria: 200 µg/m3 **" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 220)" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JvsVqwRg35rI6kS/wyTZvBcJoNgKgAiTHwOgAtEQrK1RCpMSlqDIBqtvcDcOQ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\nBoPB0Iowom8wGAytiP8DZhkyA9miEikAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import HTML\n", "HTML('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* CO \n", " - **Máxima diaria de las medias móviles octohorarias: 10 mg/m³**" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# http://docs.scipy.org/doc/numpy-1.10.0/reference/generated/numpy.convolve.html\n", "def moving_average(x, N=8):\n", " return np.convolve(x, np.ones(N)/N, mode='same')" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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fTqDXquUE1ahRcMUVZ/fO69d3vlC1ajnj0XPnQlSUU26LFs5/CwqcXyEFBdCq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\nAJPio4yvFU8AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* O3\n", " - **Máxima diaria de las medias móviles octohorarias: 120 µg/m3**\n", " - Umbral de información. 180 µg/m3\n", " - Media horaria. Umbral de alerta. 240 µg/m3" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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aWdc/3hJbzm1B+0/bI+qrKBSXFdfYr5/iwh5C8CpqrsLmoE9E54moG8numl2J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\nqb4GfUvz6fHxQFSU/DkuOc5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YLIRoJIQIA9ABcqBffVLlXpQHN72xAE6U/1zf78VCACeJ\n6BODbVp9X9S4F4q+L1RqoR4J2SqdBGCG2i3mTn7tYZA9lo5ABvsZ5dtvAbC5/L5sBOCndlkd9PqX\nAsgAUATgAoDHADQz9doBvAbZI+EUgOFql98J9+J7AMfK3yOrIPPa9fpeABgAoMzg7+JweYww+Teh\nwXuh2PuCB2cxxpiGcEMuY4xpCAd9xhjTEA76jDGmIRz0GWNMQzjoM8aYhnDQZ4wxDeGgzxhjGsJB\nnzHGNOT/AbtwPgv0ixBaAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4. Scientific functions: SciPy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![matplotlib](./static/scipy_logo.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```\n", "scipy.linalg: ATLAS LAPACK and BLAS libraries\n", "\n", "scipy.stats: distributions, statistical functions...\n", "\n", "scipy.integrate: integration of functions and ODEs\n", "\n", "scipy.optimization: local and global optimization, fitting, root finding...\n", "\n", "scipy.interpolate: interpolation, splines...\n", "\n", "scipy.fftpack: Fourier trasnforms\n", "\n", "scipy.signal, scipy.special, scipy.io\n", "```" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "#### Temperature data " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we will use some temperature data from the Spanish Ministry of Agriculture." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HTML('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The file contains data from 2004 to 2015 (included). Each row corresponds to a day of the year, so evey 365 lines contain data from a whole year*\n", "\n", "Note1: 29th February has been removed for leap-years.\n", "Note2: Missing values have been replaced with the immediately prior valid data.\n", "\n", "These kind of events are better handled with Pandas!" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# mean; max; min\r\n", "3.49;10.87;-2.75\r\n", "5.10;10.88;-2.36\r\n", "8.77;11.86;3.80\r\n", "6.07;14.77;-1.36\r\n", "2.48;12.06;-3.68\r\n", "1.69;11.47;-3.81\r\n", "2.57;9.29;-3.81\r\n", "6.28;11.08;0.49\r\n", "11.66;16.24;8.76\r\n" ] } ], "source": [ "!head data/M01_Center_Finca_temperature_data_2004_2015.csv" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Loading the data\n", "temp_data = " ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Importing SciPy stats\n" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "DescribeResult(nobs=4380, minmax=(array([ -4.21, -0.04, -11.88]), array([ 30.59, 42. , 21.77])), mean=array([ 14.03399543, 21.22098858, 6.86335388]), variance=array([ 59.25648501, 76.46548678, 44.03205308]), skewness=array([ 0.07277802, 0.10781561, -0.0989195 ]), kurtosis=array([-1.09612434, -1.11634177, -0.94371617]))" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Applying some functions: describe, mode, mean...\n" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "ModeResult(mode=array([[ 21. , 24.77, 0. ]]), count=array([[10, 11, 53]]))" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 14.03399543, 21.22098858, 6.86335388])" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 13.52, 20.62, 7.09])" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also get information about **percentiles**!" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 7.65 , 13.665, 1.32 ])" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1.1415525114155249" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.022831050228310501" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "19.315068493150687" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Rearranging the data " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![3d_array](./static/3d_array.png)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "temp_data2 = np.zeros([365, 3, 12])\n", "\n" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Calculating mean of mean temp\n", "\n", "# max of max\n", "\n", "# min of min\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Let's visualize data! " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using matplotlib styles http://matplotlib.org/users/whats_new.html#styles" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "['seaborn-deep',\n", " 'seaborn-ticks',\n", " 'dark_background',\n", " 'grayscale',\n", " 'seaborn-muted',\n", " 'ggplot',\n", " 'seaborn-talk',\n", " 'seaborn-paper',\n", " 'seaborn-poster',\n", " 'seaborn-bright',\n", " 'seaborn-whitegrid',\n", " 'classic',\n", " 'fivethirtyeight',\n", " 'seaborn-pastel',\n", " 'bmh',\n", " 'seaborn-white',\n", " 'seaborn-darkgrid',\n", " 'seaborn-dark',\n", " 'seaborn-colorblind',\n", " 'seaborn-notebook',\n", " 'seaborn-dark-palette']" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt.style.available" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(1, 365)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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/wC/LvOeZhjJLS3PMzpWJaUBbXKcllAZsoT8ft8Mgs0P0UgtlDNpjCukyC6vJ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\ngkiYDD1RFR0R0Q0zaipY2RPJcvs51biMQK80Wl2HVHUFtm/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plotting max_max, min_min, mean_mean\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see if 2015 was a normal year..." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(1, 365)" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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cP/86QpZcHIc6xvdCFBNC1pa51Wrlhhtu4P777+f73/8+L774Iq2trTz77LMs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\n0+vxUXs77lwkZrTt3Lkzdo+6ujrU1dWNj5ibzWIetcFgwCW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# mean vs mean_mean\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# and max, min 2015\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But the power of Matplotlib does not end here!\n", "\n", "For example, lets represent a function over a 2D domain!\n", "\n", "For this we will use the contour function, which requires some special inputs..." ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#we will use numpy functions in order to work with numpy arrays\n", "def funcion(x,y):\n", " return " ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "-1.9489167712635838" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 0D: works!\n", "funcion(3,5)" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 1D: works!\n", "x = np.\n", "plt.plot( , )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In oder to plot the 2D function, we will need a grid.\n", "\n", "For 1D domain, we just needed one 1D array containning the X position and another 1D array containing the value.\n", "\n", "Now, we will create a grid, a distribution of points covering a surface. For the 2D domain, we will need:\n", "- One 2D array containing the X coordinate of the points.\n", "- One 2D array containing the Y coordinate of the points.\n", "- One 2D array containing the function value at the points.\n", "\n", "The three matrices must have the exact same dimensions, because each cell of them represents a particular point." ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#We can create the X and Y matrices by hand, or use a function designed to make ir easy:\n", "\n", "#we create two 1D arrays of the desired lengths:\n", "x_1d = np.linspace(0, 5, 5)\n", "y_1d = np.linspace(-2, 4, 7)\n", "#And we use the meshgrid function to create the X and Y matrices!\n", "X, Y = " ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0. , 1.25, 2.5 , 3.75, 5. ],\n", " [ 0. , 1.25, 2.5 , 3.75, 5. ],\n", " [ 0. , 1.25, 2.5 , 3.75, 5. ],\n", " [ 0. , 1.25, 2.5 , 3.75, 5. ],\n", " [ 0. , 1.25, 2.5 , 3.75, 5. ],\n", " [ 0. , 1.25, 2.5 , 3.75, 5. ],\n", " [ 0. , 1.25, 2.5 , 3.75, 5. ]])" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[-2., -2., -2., -2., -2.],\n", " [-1., -1., -1., -1., -1.],\n", " [ 0., 0., 0., 0., 0.],\n", " [ 1., 1., 1., 1., 1.],\n", " [ 2., 2., 2., 2., 2.],\n", " [ 3., 3., 3., 3., 3.],\n", " [ 4., 4., 4., 4., 4.]])" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that with the meshgrid function we can only create rectangular grids" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#Using Numpy arrays, calculating the function value at the points is easy!\n", "Z " ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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hUUAxLyHTIiHtHoqIEGGFcxkhMcRw7whaWFuq8sAurkAAgZgCMgIxKlKQ4opQ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\nmXC1m7IS2RDsDKO0WOGl+72MGhLj9Olu3v5ImzUPZgFmWxp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WTz755EGfJwgCt99+O3Z7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\niuwfkl4aelwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Let's plot it!\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can try a little more resolution..." ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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gMBi44447aNy47A+3VEYkoPIWYFr2EeYlHxJr3B7f0LuJNbn4m8K5KO1No2En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\nQ0EKlkS0jPVbeFjn4TqtP+Hj/92NsGy9loemWbisZ4Dxt3gk9ZdKgdc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+AAAB\nT0lEQVRx40Y2b95MOBwmEAgwffp07rnnnoqeWrmxWq0ApKSk0KlTJ/Lz88970ZbVp924cWOOHj1K\nQUEB0WiUVatWlbiEYWWnuvre3nzzTerWrVvlo0ZO4na7/3QhhMNhtm3bRmamPM0BpOLqq6/mzTff\nZPr06TzwwAO0bNmyWgh2KBQiGDzRWCMYDLJ161bq1atXwbOqeGTdaSsUCm655RYmT56MKIrk5ORU\n6R3OSV599VV+/fVXPB4Pd955JyNHjqRv374VPa1ys2PHDlauXEn9+vV55JFHEASBMWPG0KZNm4qe\nWplxOp288cYbxONxRFGkW7dutGvXrqKnleQMlLWgUnUnmcaeJEmSJFWIZEZkkiRJklQhkqKdJEmS\nJFWIpGgnSZIkSRUiKdpJkiRJUoX4/3bqgAQAAABA0P/X7Qh0hNIGGJE2wIi0AUakDTASV4UY8N8Q\noqcAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_1d = np.???(0, 5, 100)\n", "y_1d = np.???(-2, 4, 100)\n", "X, Y = np.???( , )\n", "Z = funcion(X,Y)\n", "plt.contour(X, Y, Z)\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The countourf function is simmilar, but it colours also between the lines. In both functions, we can manually adjust the number of lines/zones we want to differentiate on the plot." ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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uQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.contourf( , , , ,cmap=plt.cm.Spectral) #With cmap, a color map is specified\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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YM2YMFixYgEKhgEwmgwsuuAAHDx7EihUr8OGHHyKTyaC9vR1r1qxBe3s7rr/+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\n45xwJFNpN+XupnYR4/jM66k+urzeVF6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bjOvibTk8A/DO7p2CqQ7sMYFelp5dlzGtk6sb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\nZR7HD8lzPi/kK583ibsOjg+lubywb5lg78PVh/Z1XBohOMc0cvpBxXL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.contourf( , , , ,cmap=plt.cm.Spectral)\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xHJNZ4lRuEZIo0D01ga5NEykyWejbugYv3nMLGkGwPjS0pceRA15tPQONxqnM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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#We can even combine them!\n", "plt.contourf(X, Y, Z, np.linspace(-2, 2, 100),cmap=plt.cm.Spectral)\n", "plt.colorbar()\n", "cs = plt.???(X, Y, Z, np.linspace(-2, 2, 9), colors='k')\n", "plt.clabel(cs)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These functions can be enormously useful when you want to visualize something.\n", "\n", "And remember!\n", "\n", "## Always visualize data!\n", "\n", "Let's try it with **Real** data!" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": true }, "outputs": [], "source": [ "time_vector = np. ('data/ligo_tiempos.txt')\n", "frequency_vector = np. ('data/ligo_frecuencias.txt')\n", "intensity_matrix = np. ('data/ligo_datos.txt')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The time and frequency vectors contain the values at which the instrument was reading, and the intensity matrix, the postprocessed strength measured for each frequency at each time.\n", "\n", "We need again to create the 2D arrays of coordinates." ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "collapsed": true }, "outputs": [], "source": [ "time_2D, freq_2D = np." ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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oVtNiGmwD4w4AmcKOWUmwYsJvu4gKcQkkiTypKBq924txEE8SL7niYaa2dowL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\nPuXnYZtYXTu72xZ1105b0l65Fh8XbMLZ5sMjFxI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UY9OaJsHh8BzrnB/ddul6yWTqSKHR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+xLWEyjQPO86X3EFZxCX4aCFdHh3bi8i2FONlX4QNziJI6jwji1XV9FllThSw4bigu8BetmGbjF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt. ( ) #We can manually adjust the sice of the picture\n", "plt. ( , , ,np.linspace(0, 0.02313, 200),cmap='bone')\n", "plt.xlabel('time (s)')\n", "plt.ylabel('Frequency (Hz)')\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wow! What is that? Let's zoom into it!" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[9.9, 10.05, 0, 300]" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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D+0znp8OEgHGo0CjhHTDPQQKMw2P2tt95CFA7n2loOIIkZ3oZ+7Clhyzpc72bhYCoqyNm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\nA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t1qnhoykPR4O0ZTUaMtA5KAEGfhzs82c9tZfclMS/RYM2iu7Zt3lrBy036uuPAUn7I4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QrY7nFDPqs7V8u/YQL1zajps7NgSngl6qoJUqHqCSfG5Btxu+35/N5B17KFNUHmvVhv6p6eia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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "plt.figure(figsize=(10,6))\n", "plt.contourf(time_2D, freq_2D,intensity_matrix,np.linspace(0, 0.02313, 200),cmap = plt.cm.Spectral)\n", "plt.colorbar()\n", "plt.contour(time_2D, freq_2D,intensity_matrix,np.linspace(0, 0.02313, 9), colors='k')\n", "plt.xlabel('time (s)')\n", "plt.ylabel('Frequency (Hz)')\n", "\n", "plt.axis([9.9, 10.05, 0, 300])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# IPython Widgets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The IPython Widgets are interactive tools to use in the notebook. They are fun and very useful to quickly understand how different parameters affect a certain function.\n", "\n", "This is based on a section of the PyConEs 14 talk by Kiko Correoso \"Hacking the notebook\": http://nbviewer.jupyter.org/github/kikocorreoso/PyConES14_talk-Hacking_the_Notebook/blob/master/notebooks/Using%20Interact.ipynb" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from ipywidgets import interact" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#Lets define a extremely simple function:\n", "def ejemplo(x):\n", " print(x)" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ " #Try changing the value of x to True, 'Hello' or ['hello', 'world']" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9.0\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#We can control the slider values with more precission:\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you want a dropdown menu that passes non-string values to the Python function, you can pass a dictionary. The keys in the dictionary are used for the names in the dropdown menu UI and the values are the arguments that are passed to the underlying Python function." ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's have some fun! We talked before about frequencys and waves. Have you ever learn about AM and FM modulation? It's the process used to send radio communications!" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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4bDPo7J+QBr8ilnsKvIrUpgtYszbO9wqn3/a2OCUe+nAdKOUypIH/LVIbvOWE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\nR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1, 7, 1000)\n", "\n", "fig = plt.figure()\n", "fig.tight_layout()\n", "\n", "plt.subplot(211)#This allows us to display multiple sub-plots, and where to put them\n", "plt.plot(x, np.sin(x))\n", "plt.grid(False)\n", "plt.title(\"Audio signal: modulator\")\n", "\n", "plt.subplot(212)\n", "plt.plot(x, np.sin(50 * x))\n", "plt.grid(False)\n", "plt.title(\"Radio signal: carrier\")" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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aasUbBsc3ruE9EBIEFA0gaRgAYhAQn7VSlsJG3DaTYwR+IWwe88jD5k9KELZ2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\nCERPh0d50gnMW7u9KE8uHC/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ebMbZ9UlgvkuYdWJADX3Wzq1OhjBoKmQ93oXaHEIdOdZ0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Am modulation simply works like this:\n", "am_wave = np.sin(50 * x) * (0.5 + 0.5 * np.sin(x))\n", "plt.plot(x, am_wave)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to interact with it, we will need to transform it into a function" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def am_mod (f_carr=50, f_mod=1, depth=0.5): #The default values will be the starting points of the sliders\n", " \n", " " ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xyz2ExUljYSFx0WwGJzBy+CK9gBk5bN0Tp45n6DDy9aCR6SaljMOVhi2y8Mgh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\nw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "interact(am_mod,\n", " f_carr = (1,100,2),\n", " f_mod = (0.2, 2, 0.1),\n", " depth = (0, 1, 0.1))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "#### Other options... \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5. Other packages" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Symbolic calculations with SymPy " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![sympy](./static/sympy.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SymPy is a Python package for symbolic math. We will not cover it in depth, but let's take a picure of the basics!" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "IPython console for SymPy 1.0 (Python 3.5.1-64-bit) (ground types: python)\n", "\n", "These commands were executed:\n", ">>> from __future__ import division\n", ">>> from sympy import *\n", ">>> x, y, z, t = symbols('x y z t')\n", ">>> k, m, n = symbols('k m n', integer=True)\n", ">>> f, g, h = symbols('f g h', cls=Function)\n", ">>> init_printing()\n", "\n", "Documentation can be found at http://docs.sympy.org/1.0/\n" ] } ], "source": [ "# Importación\n", "from sympy import init_session\n", "\n", "init_session(use_latex='matplotlib') #We must start calling this function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The basic unit of this package is the symbol. A simbol object has name and graphic representation, which can be different:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAABUAAAARCAYAAAAyhueAAAAABHNCSVQICAgIfAhkiAAAAQJJREFU\nOI3t0T0vREEYxfHfkmg0CgqJwm4IiYgoFRuFGp2oFApRIfEdFBohtKh9A/FSqih0akKBKGzES2Ip\n9m4yJveKvaFzmpnn5Mz/eWaGP1AhxRvEMh7xjFes4CVvkyncYCipR1HBZF7gcDLVTOBN4AxdjYDC\n6x+gD0W8p2SPcY0LtGMJa7hHL8roCQ90oIqtjOYlzAf1NK6izGp90xQcKuA0AzqG7ag+ijKXMfQ2\nWSspwKLa571F0MMot5k2zT42Iq+MHbQGXgkf6EyD8PWj2tQevooHtOAcu4lX1xwWMZAFzaM9rP8m\nsIA7jH8Xav4hrBsLmMUIntCPk/zz/asRfQIdAy28Z1kRZwAAAABJRU5ErkJggg==\n", "text/plain": [ "c_T" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coef_traccion = " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "w = \n", "W = \n", "w, W" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, SymPy takes symbols as complex numbers. That can lead to unexpected results in front of certain operations, like logarithms. We can explicitly signal that a symbol is real when we create it. We can also create several symbols at a time." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x, y, z, t = symbols('x y z t', real=True)\n", "x.assumptions0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Expressions can be created from symbols:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "expr = \n", "expr" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#We can substitute pieces of the expression:\n", "expr." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#We can particularize on a certain value:\n", "(sin(x) + 3 * x)." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#We can evaluate the numerical value with a certain precission:\n", "(sin(x) + 3 * x)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can manipulate the expression in several ways. For example:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "expr1 = (x ** 3 + 3 * y + 2) ** 2\n", "expr1" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "expr1." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can derivate and integrate:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "expr = cos(2*x)\n", "expr." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "expr_xy = y ** 3 * sin(x) ** 2 + x ** 2 * cos(y)\n", "expr_xy" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "int2 = 1 / sin(x)\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x, a = symbols('x a', real=True)\n", "\n", "int3 = 1 / (x**2 + a**2)**2\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also have ecuations and differential ecuations:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "a, x, t, C = symbols('a, x, t, C', real=True)\n", "ecuacion = \n", "ecuacion" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x = symbols('x')\n", "f = Function('y')\n", "ecuacion_dif = \n", "ecuacion_dif" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Data Analysis with pandas " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![pandas](./static/pandas_logo.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pandas is a package that focus on data structures and data analysis tools. We will not cover it because the next workshop, by Kiko Correoso, will develop it in depth." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Machine Learning with scikit-learn " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![scikit-learn](./static/scikit-learn-logo.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Scikit-learn is a very complete Python package focusing on machin learning, and data mining and analysis. We will not cover it in depth because it will be the focus of many more talks at the PyData." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### A world of possibilities... " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![scikit-learn](./static/cheatsheet-scikit-learn.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Thanks for yor attention! " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![PyData_logo](./static/pydata-logo-madrid-2016.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Any Questions?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "---\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Notebook style\n", "from IPython.core.display import HTML\n", "css_file = './static/style.css'\n", "HTML(open(css_file, \"r\").read())" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }