{ "metadata": { "name": "", "signature": "sha256:a5c37ad34c76299c57627573580f7381f8f27478fccd2fe1530aa3c8fcc4bd3e" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "![PyConES 2014](pycones2014.png)\n", "\n", "# Taller de Python cient\u00edfico\n", "\n", "## @CAChemE & @Pybonacci" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. El notebook de IPython\n", "\n", "__Ser\u00e1 nuestra herramienta de trabajo durante el curso__. Esto que est\u00e1s leyendo ahora no es m\u00e1s que un notebook de IPython, que como diremos luego adem\u00e1s de c\u00f3digo puede contener texto e im\u00e1genes. Pero veamos primero c\u00f3mo funciona.\n", "\n", "__Al iniciar el notebook de IPython, en la pantalla principal podemos ver una ruta y una lista de notebooks__. Cada notebook es un archivo que est\u00e1 almacenado en el ordenador en la ruta que aparece. Si en esa carpeta no hay notebooks, veremos un mensaje indicando que la lista de notebooks est\u00e1 vac\u00eda.\n", "\n", "Al crear un notebook o al abrir uno nuevo se abre la interfaz de IPython propiamente dicha donde ya podemos empezar a trabajar. Es similar a un int\u00e9rprete, pero est\u00e1 dividida en **celdas**. Las celdas pueden contener, c\u00f3digo, texto, im\u00e1genes...\n", "\n", "Cada celda de c\u00f3digo est\u00e1 marcada por la palabra `In []` y est\u00e1n **numeradas**. Tan solo tenemos que escribir el c\u00f3digo en ella y hacer click arriba en Cell -> Run, el tri\u00e1ngulo (\"Run cell\") o usar el atajo `shift + Enter`. El resultado de la celda se muestra en el campo `Out []`, tambi\u00e9n numerado y coincidiendo con la celda que acabamos de ejecutar. Esto es importante, como ya veremos luego.\n", "\n", "Si en la barra superior seleccionas Markdown (o usas el atajo `Shift-M`) en lugar de Code puedes escribir texto. Y si quieres incluso ecuaciones, \u00bfa qui\u00e9n no le gustan las ecuaciones?\n", "\n", "$$g\\!: \\mathbb{R}^2 \\rightarrow \\mathbb{R} \\\\ g(x, y) = \\cos{x} + \\sin^2{y}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Algunas caracter\u00edsticas interesantes de IPython:\n", "\n", "* Resultados de celdas en `_`\n", "* Editor modal, atajos de teclado\n", "* Ayuda en l\u00ednea y modos de autocompletado" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%timeit\n", "# Ejemplo de medida de tiempo de ejecuci\u00f3n\n", "import time\n", "def foo(x, y):\n", " time.sleep(0.01)\n", " return x ** y\n", "\n", "for ii in range(10):\n", " for jj in range(10):\n", " kk = foo(ii, jj)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "1 loops, best of 3: 1.01 s per loop\n" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "%%prun -s cumtime\n", "# Ejemplo de profiling\n", "import time\n", "def foo(x, y):\n", " time.sleep(0.01)\n", " return x ** y\n", "\n", "for ii in range(10):\n", " for jj in range(10):\n", " kk = foo(ii, jj)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " " ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "# Ejemplo de depuraci\u00f3n interactiva\n", "%pdb on\n", "def bar(t):\n", " ret = 1 / t\n", " return ret\n", "\n", "bar(0)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Automatic pdb calling has been turned ON\n" ] }, { "ename": "ZeroDivisionError", "evalue": "division by zero", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mZeroDivisionError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mret\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 6\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 7\u001b[1;33m \u001b[0mbar\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;32m\u001b[0m in \u001b[0;36mbar\u001b[1;34m(t)\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[0mget_ipython\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmagic\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'pdb on'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 3\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mbar\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mt\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 4\u001b[1;33m \u001b[0mret\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m1\u001b[0m \u001b[1;33m/\u001b[0m \u001b[0mt\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 5\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mret\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 6\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mZeroDivisionError\u001b[0m: division by zero" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "> \u001b[1;32m\u001b[0m(4)\u001b[0;36mbar\u001b[1;34m()\u001b[0m\n", "\u001b[1;32m 3 \u001b[1;33m\u001b[1;32mdef\u001b[0m \u001b[0mbar\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mt\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[0m\u001b[1;32m----> 4 \u001b[1;33m \u001b[0mret\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m1\u001b[0m \u001b[1;33m/\u001b[0m \u001b[0mt\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[0m\u001b[1;32m 5 \u001b[1;33m \u001b[1;32mreturn\u001b[0m \u001b[0mret\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[0m\n" ] }, { "name": "stdout", "output_type": "stream", "stream": "stdout", "text": [ "ipdb> c\n" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tambi\u00e9n se pueden incrustar objetos como im\u00e1genes, v\u00eddeo... \u00bfconoc\u00e9is ya a las PyLadies?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image('pyladies_square.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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mJ9BbnbB8n8suD50V+duFhMxPQQh/UjQdQvjgkSd/TE9ouXCR2tpTnD7TSEem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\n5vc//Cnftgc//kv+92f/D53w4z/+Ob94+QO+TecWUpydGcG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"prompt_number": 17, "text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Arrays con NumPy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NumPy es un paquete fundamental para la programaci\u00f3n cient\u00edfica que __proporciona un objeto tipo array__ para almacenar datos de forma eficiente y una serie de __funciones__ para operar y manipular esos datos." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Un array es un __bloque de memoria que contiene elementos del mismo tipo__. B\u00e1sicamente:\n", "\n", "* nos _recuerdan_ a los vectores, matrices, tensores...\n", "* podemos almacenar el array con un nombre y acceder a sus __elementos__ mediante sus __\u00edndices__.\n", "* ayudan a gestionar de manera eficiente la memoria y a acelerar los c\u00e1lculos.\n", "\n", "| \u00cdndice | 0 | 1 | 2 | 3 | ... | n-1 | n |\n", "| ---------- | :---: | :---: | :---: | :---: | :---: | :---: | :---: |\n", "| Valor | 2.1 | 3.6 | 7.8 | 1.5 | ... | 5.4 | 6.3 |\n", "\n", "**\u00bfQu\u00e9 solemos guardar en arrays?**\n", "\n", "* Vectores y matrices.\n", "* Datos de experimentos:\n", " - En distintos instantes discretos.\n", " - En distintos puntos del espacio.\n", "* Resultado de evaluar funciones con los datos anteriores.\n", "* Discretizaciones para usar algoritmos de: integraci\u00f3n, derivaci\u00f3n, interpolaci\u00f3n..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pdb off" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Automatic pdb calling has been turned OFF\n" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creaci\u00f3n de arrays a partir de listas" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "mi_primer_array = np.array([1, 2, 3, 4]) \n", "mi_primer_array" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "array([1, 2, 3, 4])" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "mi_segundo_array = np.array([\n", " [1, 2, 3],\n", " [4, 5, 6],\n", " [7, 8, 9]\n", "]) " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Funciones de creaci\u00f3n de arrays" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.zeros(10)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "array([ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "np.zeros([10, 10])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 25, "text": [ "array([[ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]])" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "np.ones([3, 2])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 26, "text": [ "array([[ 1., 1.],\n", " [ 1., 1.],\n", " [ 1., 1.]])" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "np.identity(4)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 27, "text": [ "array([[ 1., 0., 0., 0.],\n", " [ 0., 1., 0., 0.],\n", " [ 0., 0., 1., 0.],\n", " [ 0., 0., 0., 1.]])" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rangos" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.arange(0, 5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ "array([0, 1, 2, 3, 4])" ] } ], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "np.arange(0,11,3)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 29, "text": [ "array([0, 3, 6, 9])" ] } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "np.linspace(0, 1, 21)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 31, "text": [ "array([ 0. , 0.05, 0.1 , 0.15, 0.2 , 0.25, 0.3 , 0.35, 0.4 ,\n", " 0.45, 0.5 , 0.55, 0.6 , 0.65, 0.7 , 0.75, 0.8 , 0.85,\n", " 0.9 , 0.95, 1. ])" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Operaciones vectorizadas" ] }, { "cell_type": "code", "collapsed": false, "input": [ "arr = np.arange(11)\n", "arr" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 39, "text": [ "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "arr + 10" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 40, "text": [ "array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20])" ] } ], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "arr * 2" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 41, "text": [ "array([ 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20])" ] } ], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "np.sin(arr)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 42, "text": [ "array([ 0. , 0.84147098, 0.90929743, 0.14112001, -0.7568025 ,\n", " -0.95892427, -0.2794155 , 0.6569866 , 0.98935825, 0.41211849,\n", " -0.54402111])" ] } ], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Entrada/Salida" ] }, { "cell_type": "code", "collapsed": false, "input": [ "datos = np.loadtxt(\"temperaturas.dat\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "datos = datos / 10\n", "datos[:10]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 44, "text": [ "array([[ 0.44, -0.33],\n", " [ 0.06, -0.56],\n", " [ 0. , -0.44],\n", " [ 0.28, -0.11],\n", " [ 0.56, 0. ],\n", " [ 0.78, 0.11],\n", " [ 0.72, 0.28],\n", " [ 0.89, 0.17],\n", " [ 0.94, 0.39],\n", " [ 0.83, 0.44]])" ] } ], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. Visualizaci\u00f3n con matplotlib\n", "\n", "matplotlib es, hoy por hoy, el est\u00e1ndar _de facto_ de visualizaci\u00f3n con Python en dos dimensiones. Existen dos maneras diferentes de usarla: el paquete `pyplot` (inspirado en MATLAB y que pretende ser lo m\u00e1s similar posible) y la interfaz orientada a objetos.\n", "\n", "La biblioteca matplotlib es gigantesca y es dif\u00edcil hacerse una idea global de todas sus posibilidades en una primera toma de contacto. Es recomendable tener a mano la documentaci\u00f3n y la galer\u00eda (http://matplotlib.org/gallery.html#pylab_examples):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import HTML\n", "HTML('')" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "TODO\n", "\n", "* Perfil de Yukovski con widget al final [x]" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot([0.0, 0.1, 0.2, 0.7, 0.9], [1, -2, 3, 4, 1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "[]" ] }, { "metadata": {}, "output_type": 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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "def f(x):\n", " return np.exp(-x ** 2)\n", "\n", "x = np.linspace(-1, 3, 100)\n", "\n", "plt.plot(x, f(x), label=\"Funci\u00f3n f(x)\")\n", "plt.xlabel(\"Eje $x$\")\n", "plt.ylabel(\"$f(x)$\")\n", "plt.legend()\n", "plt.title(\"Funci\u00f3n $f(x)$\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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LL4eoddVEJMmohRHQtm1+q9UxY+CUU0KnCW/DBjjgAHjrLX8DgIiUD7UwUtBTT0GLFioW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\n2IWZ1TSzOpGvawGnAoXebRM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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "with plt.xkcd():\n", " plt.plot(x, f(x))\n", " plt.plot(x, 1 - f(x))\n", " plt.xlabel(\"Eje x\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/home/juanlu/.local/lib/python3.4/site-packages/matplotlib/font_manager.py:1279: UserWarning: findfont: Font family ['Humor Sans', 'Comic Sans MS'] not found. Falling back to Bitstream Vera Sans\n", " (prop.get_family(), self.defaultFamily[fontext]))\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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wwoBgtVMycbfb7WIfCh9/TK/9+gFareiHY4jEmDH0+uGHtDAuKnv2UGPdpCRg\nyBCRD8ZgVJ9gtVOSBVUAyM/Pp5RukbDbgU8+oe0nnxTtMAwJ6NgRuPZaqjWzdq3IB+NX34cNYx4B\nI6woo50BILq4J1/qZ2c2m4Hjx0U7zurVlINy/fVAhw6iHYYhAQoFzb0DFNYqGrm5tAKvUABPPy3i\ngRiMmlNGOwNAdHHX6/UAgMLCQuDoUdGOw8/PjhzJFlKjgX79qB7Qrl3Um1oU+ISI++4DrrxSpIMw\nGIFRRjsDwK+4e71efPXVV5g6dSr27t1b6X5utxtr1qzBpEmTsKRUgRD+0aKwsJASRUQQ+IMHgd9+\no4XURx8N+cczZECnA554grb5CKiQ4vFQjz+AtedihCVltDMA/Ir77Nmz8emnn6JDhw548sknsX37\n9nL7cByHhx56CFu2bEGHDh1gMpnKGZifn0+LVkuXBmRoVfBe+4ABbNo0muCbq3z2GfkFIeXrr4Gz\nZ4EmTYDu3UP84QxG8AQ7515l3BfHcVi8eDEOHDiA9PR0eL1eLF68GLddlsG3a9cuFBYWYv369eU+\nIzExEXFxcbBYLNSZeulSKqWqVgdk8OVYrXTxA74EGEZ00KoV0KkTBbSsXQsMHBiiD+Y44I03aPvZ\nZ1nja0ZYUkY7A6DKs7qgoAAAkJ6eDgBo06YN/vnnn3L77dmzBxqNBl26dMF1112Hl19+ucz7BoMB\nc+bMoSv14sWQCTsArFtHAt+5M4kBI7rgI5/4MNeQ8OuvwO+/UxeXQYNC+MEMRmhxuVziLKgWFxdD\npVIJ3yckJKC4gudjs9mMI0eO4LvvvsPPP/+Mr776Ctu2bRPeNxqNyMzMhEKhqPQrMzMzoD+A99r7\n9Qvo1xlhziOPUFPzHTtCGGzFT+IPHco6pjNkx5827tq1K6DPrVLc09PTkZ+fLxSuyc7ORkZGRrn9\nMjIy0KVLFxgMBqjVatx22234888/hfe1Ik2Enz4NbNoExMezhdRoRa8H+vShbT6PIShMJl/4Ix9v\nyWCEMSUBNjioUtzj4+PRqVMnbNy4EQCwatUq9OjRAwBw8uRJ7Ny5EwDQo0cP7N+/Hw6HA263G7/9\n9htatmwpfA6/MBBqliyh6dOHHgJSU0U5BCMM4OfaP/6YanwFxYoVVDr07ruBxo2DNY3BEB1noGna\nnB8OHTrEde7cmWvdujX30EMPcRaLheM4jvv888+5rl27CvstXryYa9u2LXfttddyL7zwAuf1eoX3\nevTowbWN5pgBAAAgAElEQVRv356+uXiR4+LjOU6h4LgTJ/wdvlLcbo6rV4/jAI7bsSPgj2FEAB4P\nxzVoQP/rXbuC+CCvl+Nat6YPWrMmZPYxGGJRRjtriF9x5/F4PH738Xq9ZUSdp2/fvtw111zj+8GA\nAXSBPfdcdQ9fju3b6SOuuoquWUZ0M3Ei/b+HDAniQ7ZupQ9JT+c4pzNktjEYYlFOO2tAtWPAYqoR\nLsYvAFxOuXZRpStDFRVV14QyrFhBr336sIzU2gAf1LJmDdURCoi5c+l19GhaqGEwwpxgWu1JEuCb\nlJQEk8kEju+d1qEDcPPNgMUCfPRRjT+vpMRXUIpFstUOWrSg06awkPKPasyxY8D33wMJCWwhlREx\nlNPOGiCJuCcnJ8PlcpUtXTlhAr3On0+p4DXgp58Asxlo2ZL1Ma5NDB5Mr8uWBfDLfPXHxx6jXn4M\nRgRQoXZWE0nE3Wg0AvAlRQEA7r8fuOoqarfz/fc1+rxPP6XXhx8OlYWMSKBvX0ClAn78ETh1qga/\nWFhIU4CAb0qQwYgAKtTOaiKJuPMZrjk5OaWOHEM1tIEaVYbKz6cpGYUihOnojIggOZnWWDiuhjHv\ny5ZRGvOttwLt24tlHoMRcirUzmoiibjXq1cPAHD+/PmybwwZQqUIfvgBOHy4Wp+1di1Vab3zTlal\ntTbCt09cs6aav+Dx+Jpfs+qPjAijUu2sBpJ67rm5uWXfSEnxud9vvlmtz/r8c3plGam1k+7dqbjo\n339TqWe/bNhAdQsaNwZ69hTbPAYjpFSqndVAEnHnM1QrrG42fjzNsXz6KZCVVeXnnDtHNUYSEnwp\n6YzaRXy8z3t/771q/MK8efQ6bhwQGyuaXQyGGFSpnX6QRNzVl6pAVrji27Qp0Ls3pYQvWFDl5/Be\n+333Uc0RRu2EL+382Wc0lV4pP/9MX6z5NSNCqVI7/SCJuMdfShhxuVwV7zBxIr2++y7FvlcCXwGS\n79DDqJ20akUlnouKgC+/rGLH116j11GjqGcfgxFh+NXOKpBE3GNiYqBWqyvPtLrpJopkKCz0tT67\njAMHgD//JCfsnntENJYREfAx78uXV7LDX38B33xDC/Ys/JERofjVzqp+VwR7KkSr1VZYC16A997f\neoumaC5j5Up67dePYp0ZtZs+feg82L6duuWVg28YM3QoUKeOlKYxGCHFr3ZWgmTirlKpqn60uPde\noHVr4MIF3/zLJUpKfB5a374iGsmIGIxGyoPjuHKnC3nta9bQ6ivvNDAYEYpf7awEScXd4XBUvoNC\n4bsQX3+9TOHub78FsrOp1ECXLiIbyogY+LpCS5eSyAu89BL9YNgw4Ior5DCNwQgZfrWzEiQT9/j4\neP93n759gYYNgX/+AUo12+Zriw0dyipAMnzcfTfNuBw7Rm1RAVAA/Lp1FC87ebKs9jEYoaBa2lkB\nkol7XFyc/3ZRcXG+gmKvvgpwHM6cAb77jt56/HHx7WREDkqlz3sXYt5nz6bXoUOBClpCMhiRRrW0\nswIkE/fY2FihF2uVPPkk9cz7/Xfgxx9x4ADN0Dz4IFsXY5Tn6afpNT8fVMJi1SryBJ5/Xla7GIxQ\nUW3tvAzJxF2pVMLtdvvfUasFnnuOtmfORJs2VGNs6FBx7WNEJk2aAHfddWkGZsYM8gSGDKHpPQYj\nCqi2dl5G+HnuACWdGI3A7t248twuPPMMcPvt4trHiFymTgU6qfZThExcHDBlitwmMRghI3o8dwDQ\n6XwV/F56CS+9RN47g1ERXbrAFyEzejSLkGFEFWHvucfExMBbKrzRH9y48eS9b9+OpAPbRLSMEenE\n7P8/ipfVaOB9YZLc5jAYIaWm2in8ngi2VEhFjbOrYs8RI/Dss/TNzJkiWMSIGvhs1FGj8OXONJjN\n8prDYISSmmonT1hOdhQU0AKqe8QYwXvHTz/JbRYjHPntN8qJSEgAnnsOM2YAH38st1EMhvxIJu5e\nr7fad6APPgCOHAE2/270Rc5Mn35ZGiKDAZprB4Bx43DenY5Dh6i4KDtVGNFCTbSzNJKJu9vthlKp\n9LufywW8/TZtazQAxo6l5pm7d1NnZAaDZ9s2YPNmWoCfMAHp6UD9+pSxunWr3MYxGKGhutp5OWEn\n7qtWUe2wli2pCjB0Ol9CyvPPl6k5w6jFcBww6dLi6cSJQEoKlEpfz3XeQWAwIp2wF3eXyyUUnq8M\njgPeeIO2n3uuVB2ZcePIJTt4EPjqK3ENZUQG33xD8+1paXR+XGLYMCoFvHEjcPSojPYxGCGiOtpZ\nEZKJu9VqRaKfbjg//EDVWuvW9fXJBECLZXxiypQpQAAxn4woguOAzEzanjKlTJelOnWoUxfHVbvn\nOoMR1lRHOytCMnG32+3QaDRV7jNnDr0++2wFDTmGDqVc86NHqcYro/by/ffAH39QYTC+uEwp+DX4\nZcuAnBxpTWMwQk11tLMiJBN3h8MBVRUtlHbvBnbtosjHCq5XSit/5RXanjEDCKBhLCMK4DhfXPtz\nz1Ebvcto3hx44AHA6WRz74zIx592VoYk4s5xHIqKiqDT6Srdh9ftMWMAvb6SnR5+GGjXjlZc588P\nvaGM8GfdOmDPHppr51dPK+CFF+h18WKwpCZGxFId7awMScTdZrPB7XYjKSmpwvf37qX5dq3WV1Km\nQmJigLlzaXvuXKCoKPTGMsIXjwd48UXanj6dIqkqoXNnoFs3wGJhc++MyMWfdlaFJOJeUFAAAJUa\nOH06vY4aRaXcq+T226lSVEEBsGhRCK1khD1r1tCay5VXVjJ3Vxa+asX8+cDFiyLbxmCIgD/trApJ\nxN1isQAADAZDufd27KD1scTEavZXUCh8kRKvvQbk5YXOUEb44vH41PrFF2kNxg8330x9161WasvL\nYEQaVWmnPyQRd5PJBKD83YfjqBY3QMLu12vnueMO6tBgsdDiKiP6Wb2aalI0buzrrVcNZs2i18WL\ngfPnRbGMwRCNyrSzOkgi7vn5+QCA1MvUe8sWipJJTgbGj6/hh/Jz70uWAGfPhsBKRtjidvvm7iZP\nBmqQ0HH99UCfPoDD4RN6BiNSqEw7q4Nfcb9w4QL69OmDNm3aYOzYsXA6nZXuW1xcjHvvvRfvv/9+\nmZ/nXZo6SU5OFn7m9fqa00+cWOXaWMW0aQM8+ijFu/HuPyM6+fxzKhhz9dU18tp5Zs2itfilS4HT\np0NvHoMhFhVpZ3XxK+7PPvss7rzzThw8eBA2mw3vvPNOpftOnToVLpcLZ86cKfPz3NxcAECdUh2u\n16wB9u0D6tWj5jkBMWcOoFQCK1bQxc+IPpxOX+XHqVOrNdd+Oc2bA337AiUlbBaPEVlUpJ3VpUpx\n93q9+O677zBw4EDExMRg6NChWLt2bYX7/vLLLygoKMBdd91V7j2TyQS1Wg31pYQTl8tXTSAzk0Ig\nA+LKK4GBA+kxgK2YRSfLlpG73aoV8PjjAX9MZibdFz7+mErSMBiRwOXaWROqFPfc3FwkJiYiISEB\nANCgQQOcr2BVyuFw4MUXX8Rcfh78MrKysmCz2YTv4+OB48dpQfWpp2psc1kmTqQImk8+Ac6dC/LD\nGGGF0+nLRp02DYiNDfijrrnG19hr5EgKvmEwwp25c+ciPT09oN+tUtzj4+PLdN0uKSmpsDrZrFmz\n8OSTT8JgMMDj8QhfPFlZWcjMzIRCoaj0K5MPb6wpTZtS5qrLxVbMoo3ly+mG3bo1/Y+DZNo0oEED\nYP9+1q2JET7408ZAmmMDfsTdaDTC6/UK4ThHjx5FkyZNyu138eJFLFy4EB07dsTixYuxbNkyvPXW\nW8L7ZrHzv2fMoBWzjz4CTp4U91gMaXC5fDUppk6l/2+QaLWUGsF/JEtwZkQCgUzJAH7EXaFQYPDg\nwZg0aRL279+Pl19+GUOHDgUAbNu2DdMvhactWbIE+/btw759+/DMM89gyJAheI4vzQffooBoNG9O\ndV49Hl9BeEZk88knwJkz1LUlBF47T9++QMeOVC1y3ryQfSyDIRqBVIQEqhEt8/LLL6N169aYP38+\nxowZgwcffBAAZUylpKSU279Tp0649dZby/zMZDLBarXixAkOAIeHHuLAcWW/Ap6W4eErRX38Mavz\nGul4PD4Xe8qUkHjtPAqFb+193jxAbL+DwfBHZmZmOT3kv9RqNe64447APpgTGY/HwwHgpk+fzm3f\nznFaLcedOiXSwXr25DiA4158UaQDMCRh7Vr6P155JceVlIhyiHvvpUMMGSLKxzMYQVNaOwNB9AxV\nPsMqKSkJZjNNjzdqJNLB+J6a77wDFBaKdBCGqHCcz2t/7jnKYxCBN9+kqK2PPqIKwgxGuFFaOwNB\ndHHPzs4GAGRkZMDpBMaOFfFgN91EXbULC4EPPhDxQAzR2LqVakCnpQGDB4t2mObNgQkTaHv0aNa5\nkRF+lNbOQJDMc09NTcWNN4rmiPngS0vOmweUiq1nRAi81z52LBDgQlJ1mTzZFxrJqkczwo1g6soA\nEoh7cXExAECr1aJxY7GPBuB//wOuuw7IzqaiYozI4cAB4Mcfqf7zyJGiH06rpRk8gOqSsZrvjHCi\ntHYGgujiXnQpmDiQNlEBoVD4apHMnUvx0ozIgG+ZNHQoEOA8Y03p0YP8gcJCX+FJBiMcCFY7o0/c\nAeD++yk++tw5YOVK6Y7LCJwLF4AvvqCwxyp7LYaeuXPpsEuWAIcOSXpoBqNSwl7crVYrACAxMVHs\nQ/mIifGtls2bRxEYjPBm0SJa1ezdmwrCSUiLFtRr2+OhhwZWd4YRDgSrnaKLO98mSq/Xi32osvTr\nB2RkAH/+Cfz0k7THZtQMmw3gewDw1b0kZs4cKj/9668UHslgyE2w2imJ565SqaAUPUzmMlQq36Lc\n/PnSHptRMz79FMjPB268EejcWRYTDAbflP/kyaw1L0N+gtVO0cXdbrcHXBshaIYPJ5H/9lvg6FF5\nbGBUDccBb79N2+PGyWrKI48A3bsDJhP14GYw5CRY7RRd3AsLC6VdTC1NWhrQvz9ts0Dm8OSnn4DD\nh4G6danZqYwoFNRIm89c3bFDVnMYtZxgtVOSaBnZxB3wpcQuW8ZKEoQj/E13xIiAWuiFmmbNfL19\nR46k1nwMhhwEq52ii7vT6YRKpRL7MJXTti2VJCgqYh0awo0zZ4ANG0jUg27JFTpeeIF6cR8+7Jsx\nYjCkJljtFF3cPR6P9Iupl8N774sXs7DIcGLpUup/++CDFNkUJiQk+EQ9MxOooLMkgyE6wWqnJOIe\nG0Tvy5Bw//0U53bsGLBzp7y2MIiSEl95iGHD5LWlAu69F+jVC7BaZYvOZNRygtVO0cXd7XbLL+5K\nJTBoEG0vXSqrKYxLrFtHWanNmwO33Sa3NRWyYAGgVgOrVwPbt8ttDaO2Eax2ii7uHMchJoSddALm\nySfpdc0aoKBAXlsYvoXUUaMoTCUMadjQ1yJg7FhWFpghLcFqpySqqwiHi7dJE+DOOwG7nSJnGPJx\n+DBNjyUmAgMGyG1NlUyYQM1l/vyTtQhgSE8w2imJuHu9XikO45/hw+n1o4/Ywqqc8DfXxx4DpC5L\nUUPUal/m6qRJbHGVIS3BaKfo4h4TExM+4t6jByU2HTpERUQY0uN0+kJS+amyMKd3b1qTLyykcHzm\nFzCkIFjtrF3iHh/va93GGnnIw8aNVLilbVtqixgBKBTAu+/SQ8Y33wBffSW3RYzaQNiLu1KphDuc\nVqKGDKHX1atZxqocfPYZvQ4YELYLqRVRvz5VjgRocfVSNVYGQzSC1U7RxV2tVsNut4t9mOrTtCmF\n3hUX+4SGIQ3Z2eT6xsZSSeYIY9gw4IYbaN591iy5rWFEO8Fqp+jirtPphKLzYQOf6r58ubx21DaW\nLqV4wh49qFBYhBEbS0nOCgUtsrKuTQwxCVY7RRd3jUYjNHoNG3r2pO7Iv/0GnDwptzW1A6/Xt84x\nYoS8tgTBDTcATz9N96gRI+jPYjDEIFjtFF3c4+LiUBJupfW0WgqBAFjGqlTs3AmcOgVccQXlG0Qw\nc+YAdeoAu3axhz+GeASrnaKLe0JCAhwOh9iHqTn81MyHHwIul7y21AZ4r33QIOpxG8EkJVFrXgCY\nOJGaSDEYoSZY7RT9KlOpVHA6nWIfpuZ07Qq0agXk5ACbNsltTXRTXAx8/TVt89FKEU7//lRJOi8P\nmDpVbmsY0Uiw2im6uMfHx4PjuPAKhwRoVezxx2mbTc2Iy1dfUdmHTp2Axo3ltiYk8F2blErgvfeA\nvXvltogRbQSrnZJMywAIT+990CAKgdi4EcjNldua6OWdd+iVTyCLElq1AsaPp4zVoUNZ1yZGaAlW\nO0UXd4PBAAAwm81iH6rmZGQAd99NoQ9r18ptTXSybx+VejAaIzK23R+ZmcBVV1FhsTfekNsaRjQR\nrHaKLu4pKSkAgPxwXXXiBef991nREDHgS/s++SRFKUUZGg2dOgAwcyZw/Li89jCih2C1U3RxT0xM\nBIDwS2Ti6dOHiokdPAj8/LPc1kQXZjOVeQB8FTmjkDvuoGoKTieVp2c+AiMUBKudkpQfABBeJQhK\no1LRhCnAiomFmqVLAZsN6N4duOYaua0RlTfeoBDJzZuBL76Q2xpGNBCsdoou7tpLj+Jhl6VaGj48\nb+1awGKR15ZoweulcBIAeOYZeW2RgDp1gLlzafuZZyjClsEIhmC1s1ri7vF4sGfPHpw5c6bSfex2\nO3777Tf88ccfZUJ30tLSAAA54Xy2N2lCxcRsNmDFCrmtiQ5++IFKOzRqBNx3n9zWSMLgwTRFYzKx\nuu+M4AlWO/2Ke2FhIW688UYsWbIEffr0wSJ+gawU+fn5aNOmDRYvXoyZM2eiQ4cOKLjUp5Q3sCDc\n+5YOG0avH37IrspQsHAhvY4YQeGmtQCFgpp86XSUs7V+vdwWMSIZfkE1UO30K+7Lli1D586dsXTp\nUmzatAmzZ88uNwek0+nw999/45NPPsHXX3+Nli1b4qtLHQ0SEhIQFxcHk8kUkIGS0asXkJoKHDgA\n7NkjtzWRzT//kOeuVvvWM2oJDRsCL79M2888w1oGMAJHo9EEpZ1+xX3Pnj3o1q0bACApKQmNGjXC\nv//+W2afuLg4IeAeoDtNUlISHSAmBvXq1cOrr74akIGSkZDga/vGzxUzAuOtt+j1iSeAS95HbWLk\nSKBDB+DsWeD55+W2hhGpxMTEwOVy4cKFC4H9vr8dTCaTEEwPAEajEXl5eZXu/8EHH8DlcqFnz57C\nz1JSUpCZmQmFQlHpV2ZmZkB/QEgZOZKKWq1eDZw7J7c1kUlBAfDpp7Q9bpy8tsiEUkltYuPjgQ8+\nAL77Tm6LGOGMP238NcB+z37FPTk5GYWlni0tFoswF3Q5n332GZYtW4Z169YhttQ8Kx+vGfY0agQ8\n9BBlrL73ntzWRCZLltDC9J13Ai1ayG2NbLRu7ZueefppNj3DCBzRyg/cdNNN2LlzJwBaXP3vv//Q\ntGlTAEBubq7QwHXlypVYsGABvv32W+h0ujKfUdnNICwZO5Ze33kHKCqS15ZIo6TEN6VVS7320jz7\nrK8t38SJclvDiFRsNltAv6fguKpDQ8xmM7p27Ypbb70V+/fvx4MPPogJEyYAoDkhs9kMq9WKhg0b\n4pZbbhGE/JFHHsHDDz8MABg+fDi+/vrr8A6HLM3NN1O26rx5dIUyqsfq1cCjjwLNmgGHD0d83fZQ\n8NdfwPXX031vwwbg/vvltogRSQSjnUp/OxiNRuzfvx87d+7EM888I3jtAHDo0CFotVokJCTgr7/+\nKvN7qampwnZSUhLy8/Ph9XoREwkX/AsvAA88ACxYAIwZA8TFyW1RZPD22/Q6ZgwT9ku0aQPMnk0L\nq08+Sfe8S9HBDIZfgtHOau0dFxeH7t27lxF2AGjRogViY2MRHx+PFi1alPlKK3UGp6Wlwe12oyhS\npjnuu4+8zzNnWC55ddm9m552jEYqtMIQePZZ4PbbqbHH8OEsjYJRfYLRTkncq+TkZAAI/1h3npgY\n4MUXafuVVwCPR157IoFZs+j1mWcoi4chEBPjS2766ivWG4ZRfYLRTknE3Wg0AgjTmu6V0b8/cOWV\nwNGjwKpVclsT3uzbRxWztFrfgjSjDI0b+9aax4wBDh2S1RxGhBCMdjLPvTLi4oApU2j7pZdYm52q\n4BPUhg8HLv2vGeV54glg4EDqOPjoo9RalsGoirD33Pn594gSd4CuxKZNgRMnqOYMozz//AN8+SXd\nDMePl9uasGfRIlrOOXSIyu4wGFURjHZKIu58ElPELKjyKJUU6gAAM2YA4dpwRE5mzaIVwsGDgfr1\n5bYm7ElMpHl3jYYSeZnPwKiKYLRTEnHX6/UAUCbTNWJ48EHgppuoQDdrklmW/fuBzz+nPPvJk+W2\nJmJo2dLXM3zUKFanjlE5wWinJOIeEQ07KkOh8HVhmDsXCLCIT9TBcb6qWKNHU+kGRrUZOJCE3eUi\n/+H8ebktYoQjwWinJOKuVCoRFxcXcBq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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "N = 100\n", "a = np.random.randn(N)\n", "b = np.random.randn(N)\n", "\n", "plt.scatter(a, b)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "s = np.abs(50 + 50 * np.random.randn(N))\n", "c = np.random.randn(N)\n", "\n", "plt.scatter(a, b, s=s, c=c, cmap=plt.cm.Blues)\n", "plt.colorbar()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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bt0+27a7du9m7dx9bt2xWqiZFdnTu3DmMzC0xypfy0BOApnYOLCs3ZM+ePYwd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\npl37EjjyZVa98xxvvvgcQ4YMKdS4tbtnrSS8LSLnFk+mdGl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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ejercicio**\n", "\n", "Representar las curvas de nivel de esta funci\u00f3n:\n", "\n", "$$g(x, y) = \\cos{x} + \\sin^2{y}$$\n", "\n", "Para obtener este resultado:\n", "\n", "![Ejercicio](ejercicio_contour.png)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def g(x, y):\n", " pass\n", "\n", "# Necesitamos muchos puntos en la malla, para que cuando se\n", "# crucen las l\u00edneas no se vean irregularidades\n", "#x = ?\n", "#y = ?\n", "\n", "xx, yy = np.meshgrid(x, y)\n", "\n", "zz = g(xx, yy)\n", "\n", "# Podemos ajustar el tama\u00f1o de la figura con figsize\n", "fig = plt.figure(figsize=(6, 6))\n", "\n", "# Ajustamos para que tenga 13 niveles y que use el colormap Spectral\n", "# Tenemos que asignar la salida a la variable cs para luego crear el colorbar\n", "#cs = ?\n", "\n", "# Creamos la barra de colores\n", "#plt.?\n", "\n", "# Con `colors='k'` dibujamos todas las l\u00edneas negras\n", "# Asignamos la salida a la variable cs2 para crear las etiquetas\n", "#cs = ?\n", "\n", "# Creamos las etiquetas sobre las l\u00edneas\n", "plt.clabel(cs)\n", "\n", "# Ponemos las etiquetas de los ejes" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 46, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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iONjbsGLtMXIXG0RQcBh/uMY/85ZS0rH/Crp2r0GRYupyur9+5UWXTvOZs7o7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\niojG3FF8ZF3im0iM7cQfBn9YJzYYS5siOq/zX8HStiiJscFahU5yY2z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3rE5ieBRvHorH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\n/oWENDqN/pm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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "code", "collapsed": false, "input": [ "def frecuencias(f1=10.0, f2=100.0):\n", " max_time = 0.5\n", " times = np.linspace(0, max_time, 1000)\n", " signal = np.sin(2 * np.pi * f1 * times) + np.sin(2 * np.pi * f2 * times)\n", " with plt.style.context(\"ggplot\"):\n", " plt.plot(signal, label=\"Se\u00f1al\")\n", " plt.xlabel(\"Tiempo ($t$)\")\n", " plt.title(\"Dos frecuencias\")\n", " plt.legend()\n", "\n", "frecuencias()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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yi6bTkShEyZ4NKoWYNV/Hc6KxC57bfRRbaq6WhD8GoBlccj6DYoPrAPZAd9JK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\nd+Duu++GY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"text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.html.widgets import interactive\n", "\n", "interactive(frecuencias, f1=(10.0,200.0), f2=(10.0,200.0))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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yi6bTkShEyZ4NKoWYNV/Hc6KxC57bfRRbaq6WhD8GoBlccj6DYoPrAPZAd9JK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\n", "text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "_Este notebook est\u00e1 basado en el curso de AeroPython, [Juan Luis Cano](http://es.linkedin.com/in/juanluiscanor) (@Pybonacci) y [\u00c1lex S\u00e1ez](http://es.linkedin.com/pub/alejandro-saez-mollejo/55/22/473) (@Alex__S12)_\n", "\n", "\"Licencia" ] } ], "metadata": {} } ] }