{ "cells": [ { "cell_type": "markdown", "metadata": { "toc": true }, "source": [ "

Mis notas: Matplotlib

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **Disclaimer**: Este notebook contiene mis notas sobre Matplotlib, resumiendo básicamente el [capítulo 4](https://jakevdp.github.io/PythonDataScienceHandbook/04.00-introduction-to-matplotlib.html) de [Python Data Science Handbook](https://jakevdp.github.io/PythonDataScienceHandbook/index.html) escrito por [Jake VanderPlas](http://vanderplas.com/). Recomiendo leer la fuente original e ir ejecutando todos los ejemplos (___learn by doing!___)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Intro" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Matplotlib](https://matplotlib.org/) (Math Plot Lib for Python) es una librería para la creación de visualizaciones en Python, basada en los arrays de NumPy, y diseñada para trabajar sobre todo el stack de SciPy.\n", "\n", "Una de las características más importantes de Matplotlib es que funciona en múltiples sistemas operativos y frameworks. Su desventaja reside en su interfaz gráfica, algo anticuada; pero se han desarrollado por encima nuevos paquetes como **Seaborn** que potencian ese aspecto.\n", "\n", "Para poder usar Matplotlib, simplemente tendremos que importar la librería. Usualmente también trabajaremos con el módulo `pyplot` (proporciona una interfaz con sintaxis parecido al de Matlab), que también importamos por defecto." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib as mpl # mpl es el alias usado habitualmente para matplotlib\n", "import matplotlib.pyplot as plt # plt es el alias para pyplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos especificar fácilmente el estilo de las visualizaciones:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "plt.style.use('seaborn-whitegrid')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Existen 3 formas de pintar gráficas con Matplotlib:\n", " * Desde un script: invocando `plt.show()` al final, de forma que se muestren todas las gráficas creadas.\n", " * Desde un terminal de IPython: escribiendo `%matplotlib` en el terminal, todas las gráficas que se creen después se visualizarán automáticamente. Podemos usar `plt.draw()` para refrescarlas.\n", " * Desde un notebook: escribiendo `%matplotlib notebook` activaremos la inserción de gráficas interactivas; mientras que con `%matplotlib inline` se insertarán imágenes estáticas. \n", " Estas imágenes se pueden guardar usando el método `savefig('name')`.\n", " También las podemos cargar usando la clase `Image` del módulo IPython.display:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from IPython.display import Image\n", "#Image('file')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos trabajar con la interfaz de pyplot, al estilo de Matlab:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "%matplotlib inline\n", "\n", "x = np.linspace(0, 10, 100)\n", "\n", "# Creamos una figura, que es el canvas para todo lo demás\n", "plt.figure()\n", "\n", "# Creamos el subpanel 1 (de 2) y pintamos la gráfica\n", "plt.subplot(2, 1, 1) # (filas, columnas, nº de subpanel)\n", "plt.plot(x, np.sin(x))\n", "\n", "# Creamos el subpanel 2 y pintamos la gráfica\n", "plt.subplot(2, 1, 2) # (filas, columnas, nº de subpanel)\n", "plt.plot(x, np.cos(x)); # el ';' evita que se imprima la salida, que es una línea de texto." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "O bien podemos trabajar con la interfaz orientada a objetos:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Creación de la figura y el panel, todo en uno\n", "fig, ax = plt.subplots(2) # ax sería un array de 2 objetos Axes\n", "\n", "# Pintamos las gráficas en los subpaneles (objetos Axes)\n", "ax[0].plot(x, np.sin(x))\n", "ax[1].plot(x, np.cos(x));" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Lo mismo sin usar subpaneles...\n", "fig = plt.figure()\n", "ax1 = fig.add_axes([0, 0.5, 1, 0.4], xticklabels=[], ylim=(-1.1, 1.1))\n", "ax2 = fig.add_axes([0, 0.1, 1, 0.4], ylim=(-1.1, 1.1))\n", "\n", "x = np.linspace(0, 10)\n", "\n", "ax1.plot(x, np.sin(x))\n", "ax2.plot(x, np.cos(x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib es bastante flexible con las gráficas que podemos dibujar dentro de una figura. A continuación 2 ejemplos sencillos:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Con subplots, ejemplo de 2 filas y 3 columnas\n", "fig, ax = plt.subplots(2, 3, sharex='col', sharey='row')\n", "ax[1, 2].plot(x, np.sin(x));" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Con GridSpec podemos hacer cosas más complicadas...\n", "grid = plt.GridSpec(2, 3, wspace=0.4, hspace=0.3)\n", "\n", "plt.subplot(grid[0, 0])\n", "plt.subplot(grid[0, 1:])\n", "plt.subplot(grid[1, :2])\n", "plt.subplot(grid[1, 2]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gráficas lineales" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Las visualizaciones más sencillas quizá sean las de una función lineal `y = f(x)`" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure() # creación de una figura (esto no pinta nada, sólo crea un contenedor para todo lo demás)\n", "ax = plt.axes() # creación de los ejes (esto pinta el grid)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo usando figure y axes\n", "fig = plt.figure()\n", "ax = plt.axes()\n", "\n", "x = np.linspace(0, 10, 1000)\n", "ax.plot(x, np.sin(x))\n", "ax.plot(x, np.cos(x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternativamente podemos usar la interfaz pylab, y que tanto la figura como los ejes se creen de forma transparente:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.plot(x, np.cos(x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Con `plot()` podemos usar varios parámetros:\n", " * `color`=...\n", " * 'blue' : nombre\n", " * 'chartreuse' : nombre HTML\n", " * 'b' : código rgbcmyk\n", " * '0.75' : escala de grises, entre 0 y 1\n", " * '#FF9944' : código hexadecimal RRGGBB, entre 0 y F\n", " * '(1, 0.7, 0.3)' : tupla R,G,B, entre 0 y 1\n", " * `linestyle`=\n", " * '-' | 'solid'\n", " * '--' | 'dashed'\n", " * '-' | 'dashdot'\n", " * '-' | 'dotted'\n", " * `label`='str' : etiqueta para una función que se mostrará en la leyenda de la gráfica, si se muestra\n", "\n", "Ambos se pueden combinar; escribiendo simplemente **'--g'** tendremos *dashed green*.\n", "\n", "Tenemos más métodos disponibles en `pyplot`:\n", " * `xlim(x1, x2)` : ajusta eje x, pudiendo ser creciente (lim2 > lim1) o decreciente\n", " * `ylim(y1, y2)` : ajusta eje y, creciente o decreciente.\n", " * `axis()` : ajusta ambos ejes\n", " * `axis([x1, x2, y1, y2])` : ajusta ambos ejes a lo indicado\n", " * `axis('tight')` : ajusta los ejes al contenido\n", " * `axis('equal')` : ajusta los ejes para que las unidades en x e y tengan el mismo tamaño\n", " * `title(str)` : establece el título de la gráfica\n", " * `xlabel(str)` : establece la etiqueta del eje x\n", " * `ylabel(str)` : establece la etiqueta del eje y\n", " * `legend()` : muestra la leyenda de la gráfica\n", " \n", "Cuando usamos la interfaz orientada a objetos, algunos métodos de Axes se llaman igual que los de pyplot, pero otros no. En todo caso se suelen aplicar todos como parámetros del método `set()`:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo\n", "ax = plt.axes()\n", "ax.plot(x, np.sin(x))\n", "ax.set(xlim=(0, 10), ylim=(-2, 2),\n", " xlabel='x', ylabel='sin(x)',\n", " title='A Simple Plot');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Diagramas de dispersión simples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Otro tipo de gráfica muy usada son los diagramas de dispersión, que viene a ser una versión discreta de la gráfica lineal.\n", "\n", "Podemos crearlos usando `plot()`:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo\n", "x = np.linspace(0, 10, 30)\n", "y = np.sin(x)\n", "\n", "plt.plot(x, y, 'o'); # el tercer argumento es el símbolo usado para representar los puntos" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo 2\n", "rng = np.random.RandomState(0)\n", "for marker in ['o', '.', ',', 'x', '+', 'v', '^', '<', '>', 's', 'd']:\n", " plt.plot(rng.rand(5), rng.rand(5), marker,\n", " label=\"marker='{0}'\".format(marker))\n", "plt.legend(numpoints=1, loc='upper right', frameon=True, fancybox=True, shadow=True)\n", "plt.xlim(0, 1.8);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Existen más parámetros para personalizar las gráficas. Lo mejor es echar un vistazo a la documentación de [pyplot.plot](https://matplotlib.org/api/_as_gen/matplotlib.pyplot.plot.html).\n", "\n", "Una segunda forma de crear este tipo de gráficas es usando la función `scatter()` de pyplot, que funciona de forma parecida a plot():" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo\n", "plt.scatter(x, y, marker='o'); " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La ventaja con respecto a plot, es que con scatter podemos tratar las propiedades de cada punto de forma individual. Esto nos permite en realidad ver representadas 4 dimensiones de un punto." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo con puntos aleatorios de distintos colores y tamaños\n", "rng = np.random.RandomState(0)\n", "x = rng.randn(100)\n", "y = rng.randn(100)\n", "colors = rng.rand(100)\n", "sizes = 1000 * rng.rand(100)\n", "\n", "plt.scatter(x, y, c=colors, s=sizes, alpha=0.3, cmap='viridis') # cmap especifica el mala de color; alpha la transparencia\n", "plt.colorbar(); # muestra la escala de colores" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La desventaja de usar scatter, es que para datasets grandes es sensiblemente menos eficiente que plot.\n", "\n", "Para más información sobre mapas de color:\n", " * [Choosing Colormaps in Matplotlib](https://matplotlib.org/tutorials/colors/colormaps.html)\n", " * [Ten Simple Rules for Better Figures](https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1003833)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualización de errores" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Barras de error" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos crear una gráfica de barras de error con una simple llamada a la función `errorbar()`:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo\n", "x = np.linspace(0, 10, 50)\n", "dy = 0.8\n", "y = np.sin(x) + dy * np.random.randn(50)\n", "\n", "plt.errorbar(x, y, yerr=dy, fmt='.k',\n", " ecolor='lightgray', elinewidth=3, capsize=0); # fmt indica el formato (mismo sinaxis que plot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para más opciones, lo mejor es consultar la documentación de [pyplot.errorbar](https://matplotlib.org/api/_as_gen/matplotlib.pyplot.errorbar.html).\n", "\n", "### Errores continuos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aunque Matplotlib no tiene nada específico para mostrar el error de forma continua, se puede conseguir su visualización combinando plot() y `fill()`:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo (https://scikit-learn.org/stable/auto_examples/gaussian_process/plot_gpr_noisy_targets.html)\n", "import numpy as np\n", "\n", "from sklearn.gaussian_process import GaussianProcessRegressor\n", "from sklearn.gaussian_process.kernels import RBF, ConstantKernel as C\n", "\n", "np.random.seed(1)\n", "\n", "def f(x):\n", " \"\"\"The function to predict.\"\"\"\n", " return x * np.sin(x)\n", "\n", "# First the noiseless case\n", "X = np.atleast_2d([1., 3., 5., 6., 7., 8.]).T\n", "\n", "# Observations\n", "y = f(X).ravel()\n", "\n", "# Mesh the input space for evaluations of the real function, the prediction and its MSE\n", "x = np.atleast_2d(np.linspace(0, 10, 1000)).T\n", "\n", "# Instantiate a Gaussian Process model\n", "kernel = C(1.0, (1e-3, 1e3)) * RBF(10, (1e-2, 1e2))\n", "gp = GaussianProcessRegressor(kernel=kernel, n_restarts_optimizer=9)\n", "\n", "# Fit to data using Maximum Likelihood Estimation of the parameters\n", "gp.fit(X, y)\n", "\n", "# Make the prediction on the meshed x-axis (ask for MSE as well)\n", "y_pred, sigma = gp.predict(x, return_std=True)\n", "\n", "# Plot the function, the prediction and the 95% confidence interval based on the MSE\n", "plt.figure()\n", "plt.plot(x, f(x), 'r:', label=u'$f(x) = x\\,\\sin(x)$')\n", "plt.plot(X, y, 'r.', markersize=10, label=u'Observations')\n", "plt.plot(x, y_pred, 'b-', label=u'Prediction')\n", "plt.fill(np.concatenate([x, x[::-1]]),\n", " np.concatenate([y_pred - 1.9600 * sigma,\n", " (y_pred + 1.9600 * sigma)[::-1]]),\n", " alpha=.2, fc='b', ec='None', label='95% confidence interval')\n", "plt.xlabel('$x$')\n", "plt.ylabel('$f(x)$')\n", "plt.ylim(-10, 20)\n", "plt.legend(loc='upper left');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gráficas de densidad y curvas de nivel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A veces queremos representar datos con 3 dimensiones en 2, usando curvas de nivel o regiones de color. Matplotlib tiene 3 funciones para realizar este tipo de gráficas:\n", " * `plt.contour()` : para crear curvas de densidad\n", " * `plt.contourf()` : para crear curvas de densidad rellenas\n", " * `plt.imshow()` : para mostrar imágenes" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo\n", "def f(x, y):\n", " return np.sin(x) ** 10 + np.cos(10 + y * x) * np.cos(x)\n", "\n", "x = np.linspace(0, 5, 50)\n", "y = np.linspace(0, 5, 40)\n", "\n", "X, Y = np.meshgrid(x, y)\n", "Z = f(X, Y)\n", "\n", "plt.contour(X, Y, Z, 20, cmap='RdGy');" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Versión en b/n\n", "plt.contour(X, Y, Z, colors='black'); # " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZIdfaF+w2HaogBKtS6hlKqb9WSn1d6wOSqlYckMpZT58+vQRYH2zHWFXQSj7ASuCam7eWAsEXk9SEq5ks25e7Qjp79S2n7Q59hXCsIq0UGMrBxr6rIUdC9a0kWJVSFwK/AvxNzR1LJ2KBfhtJCJIuYFPqEjeUlLikBkG40+lJFZpbNxuudBvyWgrXnElbIA1XIJq7SuSDK/g/Q8nItpxpGodwky2Gl9pL1cRuQ0niWH8ReBvQbMxkH6OvoG7OOhaVDuWtISlcgez6VqMxwdVd5gXC0YBUsRpXWIVri8nFaxX3u9/P0OP1h1QUrEqp7wc+r7X+UMmLS3qXW0sCGjcOyLm0HyoGyKkMCB2jvXxJqUKONua6Up1ZUOcqpRZcfSsRQDe4pjqzYLlTMAZXSEcCrV2rD6quxtbB1lIpx/pK4NuVUncCzwberZTynt58wbytGpNdj11jqosNOXLfnAFuZYC9PpREdu4aOpnmdGbVhEINuAIiuJZGA7aSAwjmSmXWY9MmQRUSYNVaP19r/W1a6xcAfwp8n9a62dAMt2GkvoyhLzPG1mnVZwzg5oMQv5yFYTqzoC1c7U4tWHWvYgfr+TwhHass9tWxRrjmWP+hf5dj0DDlVoKJWHIl/TJDOWuXOEC6vy6KdWDFZjPK6cCKlVz51AmuhF1Xi8vZVnAFf6eWBLChqzxp3mpUOmy4L22aW4UMsGqtX6C1/nRqu9CZd7dpbG7VVg7MS3JW+zveuf/UyncugmuPI7OMSuEanCw7UjEAy+4V0g7W99vJyVtzhw3Xcq2x76HVRDFj1+ADBHzDWlND9VrJ51rHDNCUQgMFcibstkERU1e45qyXZaslXIOTZQsqBnzRgJEBrNfFOh1ZrqRlbFB3JjGp7NceI1SVUhcopd6mlPqEUupOpdQznce/WSn1MaXUx5VS71VKXVSyn8HBOrQkZVcuYH2wHaLjqvOcAc6M+rB6eesqdkWSC9fZk/z1mbFL2q5gkMIVApNlwwpcYTl3hXA0IFXp5wfpSCCkDZhX9aXARVrrm4DXAW80Dyil9gC/CrxCa30zcAdwdclO1h6skh+Ze2kcu1SOAVLqYFvVyEpy1qyBAg2UA9ecEqLa5UMt4QrhaCAF2BwASwZfGIU+vz4GDIzFrc5lgInW+pPAc6zHvhb4AvBjSqmPAAe01rpkJ6MBa2iQgORLmXohV5XKWX0Tskgk+eG7uWsJXFtXCkBduKY6tWKANX/HPtsS12+Ucq3rOLa/w8irfYDtLp5SSu2d//8K4LnALwMvAl6olHphyfH1AlZv8D4iuQ5zTPWoXZUzIYsLBiNpzupKAleQdca0KnzvCtdYp5YvGsh1sCnFlnUB+YnJVo04wAe1vpa3T+gMcJn19wVa67Pz/38B+KzW+i+01k8yc7ZHS3YyqGP1zRcw5iLnkCQg7qPsSirpvAG5AwV8SsE1p8Z1KLj6ViKIlWNBPLPOOVHZnVjSIcNGXVzrLs5a7wJeAqCUuhG413rsc8ClVofW84D/V7KT0UQBrlpXBuyW1QV8UPAp9X66Dm/d+dwji9vKYxG4wvA1rhCHq/m/DVcI1LomcteQew1Jso3vKrCra4U6q66OLF8FeD/wRaXU3cCbgduUUrcopW7VWn8JeBVwu1LqU8Bfa63/V8lOmoE1VC4ylFIgLe1wcoHVx+QuKdfqW6rFKFV2VSMO8AE2BNeSOUjHCNdY7mpHA7DqXkOQlXzmLV2rUQqukuqUkcQAaK2/rLV+tdb6uVrrm7TWn9Za3661fvv88d/XWv8DrfU3a61fU7qfUTjW0iVaWivl8lKP9znENCYf7LvEAdJcsBZcfdPkDQ1XdyABrHZqQTwacD9bG7KlubZEfdS1xk7um6BRgDWlvgqNfQAyheK++9dNvmMurQ6QynWv6wzX1CgtCHdqwTJcY4ANyd4utRwOlNW1tqoQ2C3TdEo1HFgbzBeQq5yzqQ2lEFSHajyxS7FUHOCTpCYzV7sBriAfpQWruasdDcBy3JIDWIlCcYBR7jpjJg5IxQKxnH+T1CtYU1MHhtZOH4tC7nVMCg0UkMYBLVyr0dBwrTH8FdLlWCudWiByr3AesDUhaxRbOntSXa1FFOCqtDFIHOpuv2RJxQFGodVbY2PgJRoSrlBnbgGIwxXCnVpA0L26HYY2ZF3QRmciC8QBRi3igNZLsq+bRgnWPmtZW4XrrUP7rvWs3jggMpVgykGVrPkEux+u4MldPe41BlhbqcdDisUB0k6s3NKrlr+BgwcPim5DaZRgHVolrjX2nD56RqWrk7ryzR3gXq6G1GXUkN2ptQ5wtVUKV/BHAzHAujdXqe/IVR+mJbQO226/GrTVHKypda+kq7X2nQWtcyNIdSBE4wCBa83txDr28BMce/gJ72N9w7XWstrV4OrJtm3ADqV1nD9gTBrEsdaYL6BmztrVUeZAeEy9pu4P3pa0EytnIb0QYPuEK9RZ+RXCcHVrXd1OraVoALzuFcKAXQw6sB7L7XRsscJAqgZ4kzSaKCA0SGDInEQCTN82Y2pMOYXakpFYua7VB1IfYGvAVTL8tWvFgA+uoYEEUO5efYAVO9nIgA9XNScRj2lMv4k+NBqwjlUxuI4tLpD0zIZ+6EsKlAaFFHOtR664OPi8GFx9S0JLhr/64Grmc22ZuxqVwtUXxRjAptzo0uMZUG2hybXO1BtY3ZEiIQ21lG/syzeXde59Y1Zu5LDioDzKWd9JqhBcYXWZEgPXlVmxdk4k53PNyV1jgA095osF7P/74GpHA+BxrwHIureFBoZqSpsE2GEda+boq6GLmc2PI6cCYEyNKeWgliScBs8XCeSUXsFqNJCCK8inHJSuoeVzry5EU442B64i9worgA3K2SZnXbOuckv/Jtc6NFg7qjZo120AgbSWVdqoQyVBUoVcaywOsOXC1c1dQ3BNLfOSA9cQYKUxgQtXX8VALBpIAtZ1swnwtlyKZ3t7O9gGN33AwFqDtVSbdvbsqj5cq1GqU6t0DS0DV7dTy7eMh7RnPASPUB2n3e5C0QAkAGsrANQ+3KoLVMlJfpN+d6MAa6qWtc/KgC5ffu5zW5zVUxNfdylkj8k31NWGq9S1Ql24xsqxcqKBkErgKokGwA/YEGh9j9luNWcZ964T2BiZz2ZMJYZ9qXewxiZicUuudtukEUM2sFpuQbJMdtdIAMK5qw3X0/cdD8JVUusK+dGArVREEIKr/X87WvK5V1gGrFEKtCGomn3EIq3SdipZRbiWzNVH6jaURuFYu6gFaEsg1GLgQWuVutY+IgGjGFyBIFxBVusKfriWuFfv8Qvh6n4XEAZsLDd1H89xqlLFABrryNokNQGru7Z8rkJLYU/KVywOiCk3EnDhWiMSMArB1Xavjz14PF7rKqgYCNW7Qtq9Ro9fAFfwRwOwClhYhmwIuO5zfEOZ+zz5b1IkMJhjrbkMdolrTTWonAY3dmdq5DtOUemVR6G1sWyV1Lbe9/iT3Pf4kyv329FAUa0rJDu1QOZeayxlEoNrCrCS7ygG1daVLZNrXaMowO7A6itnlcA3tM3YYRs7vtaRQMi12kCNARa6l2Pl5K7u/yE/HkhdObhtyc1eXbdpQ9Z3szXE5Ow1lmlfZzUFq2il1kpLtLSCbQieueDs8zIo1yH48j1XpXDNiQSuv+TClft8gE11akG6YgDSuasvGqjtXmMDStwRfwawUlD6trVfL+SabdVym5vmWkfjWEMlV0P27NnyFXvHth2TUiOCbIU6snLUIm/NhWtOxQCs5q4p9+oDrA+ysceMUqP1YotcumuxxeAbgmorbXIk0AtYU3Oy2nIvz1qqVu9/icbWyHw/3tJIwFbuUi4+12rkg6ubu8Y6tWJzDEijgdSKwTZIc9ysBK6hbDTlYt3nxva12zuYlFIXKKXeppT6hFLqTqXUM53Hv0sp9Sml1B8ppX6gdD/9LiYonIhFIl+jHkON69jcaolqRgK2DFxLIgGjWDSQM8eAJBpwR2v5AOvCtot8wAsBNgZad9vYPjZQLwUu0lrfBLwOeKN5QCn1NOA/AS8CbgJ+XCl1RclORhMFSDS2VVulGpsLSJX72PJFAl06s6RwTSkG19zcNRQNQNi9QjweKFUozw8B0QVtDLrrWGvdQDcDdwBorT8JPMc8oLV+Cvh6rfVp4KuBPcBjJTtZK7BKNKRr3U2N1C3zgXjeWrtSIOZajWp1aoE8Goi5V9/fJYpVmsQgG3s9CVRdA1AjrmpVHWCuKFI3j/YBdkN+Sim11/yhtT6rlPpO4M+AjwKrpSkCJcGqlHqaUuqdSqm7lFIfVUpdX7IjW7FhrT617MDaTTCMKbdIHeJwDU3MDPUqBaRwtQEby13tTq1UvSv4owEIu9dagJU8LwXYGIR997e6qspd2bUHnQEus/6+QGt91t5Aa/0+4CrgK4DvK9mJxLF+x3xn3wr8O+BNJTvyqesggTFkqkahRj62GECiEFyNJNML9glXiEcDRtLcVRoNuO4VVtukb/askEpgbANU4mh9j/na6Ng6VyvqLuAlAEqpG4F7zQNKqX1KqY8opb5Sa/1l4HHgyyU7SYJVa/27wK3zP68G6g/bcBqxkc/KS3LWMQHXp1qNtqYbkDh3d9w6xIe81qxxlahW7grhaCDmXkPxgFEIsjU7wEIKAXfDoArwfuCLSqm7gTcDtymlblFK3aq1PgP8JvBRpdTHgXPAe0p2sje9ySJ3eBfwL4B/Gdpu53OPdJ50A2buoOUEva5OnDjRqWGva5zgvm/775MnTy5AcerUqQVAdnZ2Vk54Z86cmZ0Utw7Dzgn2bF21cjWy9/A1nD3xAJdefRWPPXic/ddfxen7jrN17YEF7Lauu3wBwCNXXLwA4/WXXOgdheWT2c443WMPP7EAtWmfO/efYuvaAysDWC61j/fQNZzbOT47UeycgK3D7Nu3jzNnziza59bWFjs7O4vP5tSpU4vP7OTJk4vP0tc++jj5p9pl66upEcYAzJ3oq527P209/nbg7V33IwLrfIcvV0r9JPCHSqm/o7V+vOvOa+jw4cPBhtsH8GL7GFsMcOzYsazayhRcT58+vbhEDsF176FrVjL1GFxDyoErzABrwxVmsLajAWAB2P3Xz47p0quvWioLND+QPfN/9wUml/YB1kQqMcDG1Kr9xtplDbc6RqD2LUnn1cuUUj81//MJZpnDU02PyiO7A0tadpXjCoYcLDCkckb9pCoFJGVYqVhg67rLF1c9R664eCkWkOatRr6OrcXxl0QDEM1eY/EA5F3yT1Bdb0kc6/uAX1dKfRS4EPgxrfUX2x7WMMqJBEovs8aYr7qKfQ41nGtfsYCR615LogFIu1dJPACsxC8++T7/LrCtCVS77Zlyqgmoy5J0Xj2utf5XWuvna61v0lr/jz4OzEgytDUGw5Je1hrbrJNS78ctNu/iXGt0aOU6V0DkXGu4V1/nVsjBQp6LLc1lW7rUQ4cOiaHaZZmXdVNvAwTcRpqSu0xLF9WEqwSqu6FTIDURSClcoU61QA24Zk9BGCrLsioHIBwP1AJsjmpBNbYiq0SbBFUYcORV6uzvUyxnbbkUdumIF1d9ZVi1GnEpXPsqxSqFa07uag8ogHz3CstXXW4bzgWstJ0fO3YsGkdJ26IL1Fy45iwdvpvUHKyiOVl7UOkqA2Oad7V1riq5XwJXiNe51hyhdf0lF1Z3ryCPBrq6V8gHbKot13CpXR0qtHWp5sSVug2ltZgrYNPWwPIBdMjOgapwLZgoWzJxS1e4QnpAgW84LMTdqz2wAMoA61PLOtga4/s30aXaWguwSpVqbK2LsluXskjUpUHnZMu+2e2NonCFLLj6yrGMWsIV6rhXCMcDMcDaio3k8qnLqgYtoVpjrbB10ajB6rPyJfWstsY+3NWnWm619jIiEK9z9U3cUjKfa26ta4t6V/B3bIncqyceCOWvqQ4uVzXbc8t1qjYJqtAQrF2XwG6pvntfS1QC0xqXXyXLzsQWvusykODSq69qPnmLrdyqAbF7hZV4APz5K8Q7uLrANXbVVAuqbhustartumlcjlVQGZBS65rAEpXGADk1gjVVsjqtJBqQVAzUqnWF/qOBmHutGQ9I2m4OzFpC1dY6Xiu72cEAACAASURBVC2WahRglUwfGDujl6rWFz2GOQFSbrWFa8iNBoxqVQz0mbt2da9QHg8YpeZ/HVITVJc1KFhzJ7yWakxf4rpOwSYtM8uJBqK5a2bFQB+5q6uq7hXE8UAsex0TXEMa63G11CBgzVlUsHUtWtcvfTe71Ry4lkYDRl1zV6l7zQGsFK6w2rEFee4V8gcXGIXg6n7vfZVAbWKm6qpXsOYsg52jdV1ksA+1qATI2bZr7rpn6ypR7goy9wp58UApXENDYqG7ezUqgWvfWgdH3UKjyFh98nVghc7ePuV8iS0mt4B+YoCYC6n1o8oZgRZyr0aSaADoHA1APfcqgaskGoA67rVLH4OvvazjzFTmBJS6DaXxgXWnbDz+urvWljWEtSRdV8ne1iinakBa71oSDZQC1q11heVOLWjjXo1Ca27B+bY/lGu1YW3va1PdKowIrLHKgNKcdcgvM3fmoBL14VZjkgLWVsy9GnWNBmIdW9ANsD41c6+EowGjErj2Pdx006AKPYG15kQsOXEAtKtrHUOnVUg5ULUXuCv9AUiXYjYKudcuVQNS95patNAA1gfZGHhtuEJ39zp7oj8agDK4xtRHHLDuV5U5GtyxxkqucjOSdfziSqdk6+I6YiDtAtlUTOADrJHPvdbo2JJkr6FVYW3IStysBK6wOt8A+KcjlCwH48oHV6MhXeumaXCw7kYNWbuacqt9dOpB3MWO1b2WLrttqwSuudEA+DNXIxeu0kigpmvdxMt/W8NNdJ1RywrynNXnWnfbl1wye1CpC+362YVcbCweaDUcti/ApuCaqnktWcgQ4tHYmCKBTdA4HWuiMiA3Z5UqZ3b2GuqrEmAsJxafgw11buWWZYWGw/rcaygeqAnYGFwhnrtC2SqxEM9bjfqMBMz+xxLTKaUuUEq9TSn1CaXUnUqpZzqPf4dS6lPzx3+wdD/Vweo2oBxJ5gwoVV9wyZmhvaZCbrXG+6752ZW411D2GirLimWvsXgA2kUEEIYryHPX2RPL4CotwdrlrvWlwEVa65uA1wFvNA8opS4E3gz8Y+DbgFuVUkUfRu+ONXf0laQDy3WtYzk7htTXomxjcao+SQFr1CV73XvomoV7hXQ8AGHAdoXsmOBq1NW1+syE+R7Nv+6qEwPqZuAOAK31J4HnWI99PfBZrfWO1vpLwMeB55XspClYpXOySidjsXPWkuVaJKBpDaMWl/991Ky2+lxSgJW6V5DPlpWKB2KABRlkY4/1BdeUUh1Zo3auphQtdVvVPuC09fdTSqm9gcceBYqK6MeZsULxCCyjsbvW1kqt9Om7dXnNkMxqoalcOgRYo5ruFcLxQA5godzJxuBqVAJXWzmuNaRRw7VMZ4DLrL8v0FqfDTx2GVCUbY4XrJmSdmK1dKSpfLUvt1q6fHJNuPpgakM2BFsXsFL3urOzE3avic4t8OevIAcs5EM21B/hqxawtQJXS9JKAfM9SjqycuA65oEzc90FvARAKXUjcK/12F8CNyilDiilvgJ4PvCJkp30Blbf6CtpyVUoZ01d8oRc65izx5gkWVhsVU8pOPv8fGoDFso6t1zAGveacrAhyJbIFwnA6vSDq09MRwKxKgGJdpFzfT/wRaXU3cw6qm5TSt2ilLpVa/0k8FrgQ8yA+k6tdVGP+p5z5851Osp77rnn3MPfs1yVYDc2uzGaRmovFGcatGnkcP7SzfwYYHmVT3seT3uMOSzXQEI4NC9Z28kodFau4VhjDdgHVslM7V0L/XPuNyp1LhIHbv9tnzxtd2agYufyixO0FTMZ12fn/DbAbMfomgPf5XtOVYwPyvbvBWS/Gff3cubMmcVvxPw+zO/C/B7cziX7+wq14+3tbVH79E3EYv694YYbOHr06J7giwh0zz33nPv718pA/8f3b3feX4nGHQV0zFlh97lWW62hGnt+q8/P52BrxgPS/DWVwcKqi4VlJ+sFZ8Lphjp8c6tpcjuyamoN4oDmGg1YS5dpGaLhlGiIaQFrwa8Erl0rFWoCFiLVA578tQZgF48lQFuiGh1ZriTfV0kc4DrjTdEgYC1ZScA3N6VPvrC+xLWum6PNOV6zbpLvlvv6rT+nGoB1qwe8+WtFwIYgW6JUR1ZMsd9Ji7pWO0LYdNc6Gsdqq+UIrHVVahVMVyHgpcrQYoAd8mQjBaxRdnkWdAZsDchKt0+51qXXFMwlAMMv47KbNDhYk5UBgpzVjQNyXOumKOVIpdvn5LgtfqgpwHbOXyE4wCAFWEhD1gWu7z5b9uvkyK0QsNVyNJbPtW5iHDA4WHMkjQNytG6X/D7Fes2h20nFB1hfSVaNz/Ghhx5a3FIKAdb+f2n+6uvgkgI2BVlbKXdaCtUxapOgCrA3vUl/Orv9wFLZVY62traWSq8OHDiwUnp18ODBQcYsD7meVQqqrrt3PzP7ddzP7vDhw0s/GPdvmLnWkrzNB1efizKvbdyx2b8Bvf23Of6DBw+uvM+tra0FXPfv379wr/tMyd/OiQVcz+0cX7TTs9sPLOAKsyswG64mF7UhKVlRwwdV+3VzZX4fvt+FrdLvy9ZDDz20+K6OHTvW5MpFHhc+rfq+JeoVrKfvOy4+C5/bOX6+Pq+xfECI3T9mSZxjLGszj/l+fC3hKnGp9jYuZHsDLGCKIl3AwvkaUxNxGRjaHU81nKgN8xXtnFiqAffJ/S5939uVV14prs12KwZsuBqt22+pi5pHAdKJWOIvcv4LicUBQ2atfa4aIHUAvvcqHfprrwLqvqYvGoj9DfXz1lBk4EYENSoIIN7JZY/k8sUE4I8KWksyM1yXCEd6JbaJFQJRxzqfn/CdwDXAVwI/q7X+QI0dP/bg8V4bWUrr6E4hb+G4kknBQw425Xj6+jwNXEscrPm/62APHDiwgGvQwe7bd94VZsQE4L+k95VShX4fUbfak1yo+kZl9REJjFUpx/q9wBe01s8DXgy8pcVB5C7TYivVidXCtfoayNgWZ3PfYwqqW1tb0cEWks8x5VxjP6wac4LmOtjQ/K+x1QtiDhb8HV2ui3XdLCw72pizdZ/n7ZOwhrb2KZ+DHXL9tyGVAutvA6+3/j4b2tBWl1UE7BFYoYA6dolTeyTWGKoGukLHB0UDUheovvvs10lNKi6BawiwNU5OMcDaKh0iC3mADUEW4qB15dvGO7/GwIrFA5sUCUSjAK31YwBKqcuA9wI/08dBeSUI5EOSVgisaxyQK+nJx2znTnTjxgMGrubzbFktIJUvIrD3d+TIkeAxhjq4siMCWIkJYBmItpGQXuKXVs6UyNeBlVvl4uvI2u1Kdl4ppb4G+APgN7TWt7c/pHylOrE2QZIZn6Dss4k5WFv2fks7tGr/ALtGBDkO1h4qK3GxsOxkJcD0bbPkVgvNR01NkUACrEqpg8CHgZ/UWr8ztJ27ImUfkvR42pJmrWO49I/JNyWbVDGo7t+/f+kWen6q8sKFa6pzra+8ujVgxTFBBLKwCtoUeENQ7ZKv1uhkGrJ2ewxKOdafBraA18+Xir1TKfVVXXYYmlTC7sAK5qyR4a0tXevYYWsr5lZ9CoE0BlkXsG72GstdfaO2+uwMbJXBgjCHhSXAwjJkJVmpd9uAU3XnZZWoVUSzSa41lbG+BnhNT8fSXGMajdW33BNNzpBgs609wbh5zdBot9zc1Ze5Gri2+EH6cr+ugwzMySWVw4Ini4WFccjuiBJMCG/kTnjdUqmJsbtIPM3oRdc32X9KvcwVUGWQgEduHFDLtUoc6phq8nIddek8Cz4H63OvtnKigVDFwBDutcsgg1QOC6xmsbAcF8Sy0sB20lU2bKU6azfJZdbUqOYKCGlpeGuH6gDwu9bdKN8yJTHFMms3r/M5WNu9+qoGQoMJXDcIYffa6kceGipb6mCBYCUBsORigVUnayRs59I8dRPa/Vg0qtmtQjlrTKlOLAlUJJ1Y65SzxuRzq6nPcN++fd5tXAcbc6/uUNiSwQR9lOz4XGyJg83p6LJPULaTXXG0jkKPp9yqLwZoVWa4qZ1Yg4O1ZDWBnE4sn0qGdq6DfCcIG3TuZxMCZkhm+5wIJtaxVRINXHnllb0B1lUOYEHe0QV+yBr5YBsCagiqPre6CTXbQ2lwsPahUtc6ZnV10FGg7pxYvgWe706IU8O95lQNtAZsKHrIWSoGVlcz8AE2BNkQbH3b2gpBNeVWa1cE7KJls7M0CFgl81GCbHgrpDuxfJK41tw4YCyjS4odeQikEchKAGsfV457tf+OdWy1/Nyl5Vmw6gBD7hVWO7rAD1kjH2x9MLWf776+vX+JW506rsq1Fp1XXmV2YrmlQT7lll61HpbZVaEYwOtWpUuN29tZn795TXOJandwuUNj7c4tX1kWhDuKDFz7LM0yr5sqz7KPM/Q+7Pbl6+gycttq6Kor1KbdS/8QVFvGAeviVue1+e8BngE8Crxca/15Z5sfAb4fOAf8R63178Vec3RRQOlMV61c60ZIClXf85znxr6H2p1bfTtYaXkWhOMBqYt1wWi70Ziz9T1X6lTHbBIa64eAe+ez+L0bZ04UpdQVwA8DzwVeCLxVKbVn5VUsNQOrO8NVrJZV2oHVdfXW3TiHgCRrDbrVwOX9uZ3j0duKnNfpKx6A4QDrkwSwvvvcSgKjGGhD27mKXYFNbnWhm4E75v//IPAi+0Gt9cPAs7TWTwKHgEe01udiLzj6KCC6DpYTB+zbt2+pt3T//v3R4B9W61rHMoFzrmp0vklPXGa7lRFCBq7z76SveADCsUzriMAn36TO9sTasfvcelhbOXWoLlBj+a85Zluxz+vQoUPBMqq+gCq+sr1ueeSVUupVwG3OVicBA4pHgZXLXa31WaXUjwJvAH4ptdvBooBYB1bsQ5tca7lW3Kqlks816GIzHGxs3gFfPCDp4Io52BouVvIaoc6tlHs1CrnYmELPqQlVIx9AU1AdQ+eu1vodWutvtG/MoHrZfJPLAO+E0lrrtwBXAs9XSv3D2H5G71iT6sG1xiTpwIqd4XMkGUZbOzcODdRwryK8LnZgB2sU6ugyynGzOXAILUcScq/gj3ZKx/X7gF0DqkZ2u14HqEZ0F/AS4I+YrZTyMftBpZQCfg74LuBJ4G+BL8decDRgja2B1WVZbFiFq6RCwFbO5X/LoZc5MqDyduIJ3Gpq5NvSBM3Wd2O/1tIwZOgNsPZ9EK4kMJKCtgQOvsoB+/hCgPU9JlWoraagWiLJpf/IoQrwVuBdSqmPA18CbgFQSr0W+KzW+gNKqT8DPsGsKuCDWuuPxF5wNGDN0crS2AnXKlGOax1rzloiF6riWYMCz/FBti/AQrmLtdUCBDH3Cn6Ium0sBNpUW/Q97nv/LQzBGkAVrfUTwHd77n+T9f83MMtXRRotWM+eeKDqapRdXeu6SzJ0NQZVN/cOfTfmNfoELOTFBJB2sS0UW6k0Blh3G6lC25dCNXcawHWAaiv1Ctad+0+xde35DPD0fcfZf71s7kk3DmjhWmPaTS7VyHarIaiGOhJToPW52FaABf/8ryCPCYxagrbPqSZbQDVHPqiOaarN1hqVY43lrDWUcq2lnVhjH4G1pIzBADmDNextQ5B1AQtzyDqjuSSAhRlk7c46n4uNxQT2fUYtQJsDFF/HVo5yBwCkoOoCVeJaNx2qMDKwunLjgKFdq62Yg/V1YNWqDOhLpSPg3Oe63x/IYwI7vjhz5szKPLClLhZknUcQBkIKuF1AUgLXkhFVuVAt1aZBFUYO1hbKda22dlMcEIsBQlBNjZDzXW34INs1JrArHUpcLIRda8zN2moNC0l1gKQtlkC1C1Bdt9pl8ct1VlOw7nzuEbauu7zlLjw7retaN2VNLCMfVKVDjt3tXNDGIJsbE0A3Fwt5kHUf61Ol+52gOpwGd6xuB5abs2bHAR6lBg3kuNaQ1ipnDagLVH2ynxuC7FAuFvIgm3psbCq9/K+l1lAVt8vrqu9apN7B6lYGtNlJt3WxpNoN0UCsxCrWeENDkkNVHiHISqKCUhcL9SAL+cX7uW0j9Zqt21pNt7rpGtyxlqgP12rLjgOGhGmsDrJPxeZ58D3mwrYEskkXC00gC2HQQhx2tZ1ay7ZXs2M15FY3KQ4YJVhTcYBIA6/muu6VASG3Kl39IfScXMiKXSyI62IhDVlIgxa6dSyVqAtcxzDUelM0CrDmDBQw6tu17nalyqtKgCp5HTdfNzKQbREVQBqygNfNQhy0Ri2BW9u5tjrZb6pbhZGAVaIhXKutUBxg/3/0HVhz4KSmCHTdagqqsUnMjUK5esjNjgWyEHezIAOtUS3g1oJrDaja+aovqto0qMJAYJV0YJWMwqrhWm11jQNGp63D5cuwOJLANLW92wZCbrYPyII/kwWSbhbioIX01H+5+a15Tle49hlPrdtKyF1UDazHHn6CI1dcvHK/tJa1RhwA6dFYKW1CHLBn6yrxxNa1IgCfbNj6TrQ+N9sKskC04wvCbhb88+CmYGsUm0XNlg+iIbj6rp7GMqXlJmhtogDoMONVh8mwbdeaO1hgtzbkXLda8poxN9sUsiBys+AHLchhayR1uKGZukL3D6lNvPy3NWqwSuIAkWvNlMS1luas61QZUCp3IcmQYlcyMdCmIAsz0OZCFuRuFlYnEfdFB8DK4BNXKdi6kI0BVrIOmKtNaJN9a9Rg9WkI11pb69yQY25VCtTU9j7ghkArzWV90xzGRntBnpsFOWghDlsXtCHI+gCbgmvfV1HmGGvnq+KIKroyVTsNBlZfB5YvZx2Dax1jJ5aZAcn8e/LkyUE7B3KhmvtaLmxD+WxpZOCOQBO5WSgCLchdrQ+yPgfbdSXhdT7Zj1GDrdLaRb6aS9GSIs6Pwv1BeNeHcpQLr9BQv1bLBA9xAqgJ1dg+zG3lsftPLd2MTt93fHEzeuzB40s3mLUnczM6u/3A4mbkXZXWrEjrWZU2tDqtvUqtkVmt1gWuWbXWhq27ei2sZpru6rW2+hx+Oqbct0/14lgHmeWK7q41pVDOuo7ae/iaTnOw5ujYw09EH/dVl9hy4Spxs7UiA8hzs7B6As+JDnxONmfVhFD2X3Nk4EMPPbQCa3dO2aGvqPrWoBlrlzjAl7WKVnPNmFawNA4Yw0CBnZ0db7Y3lFIwTW0bg20MtLUjA4jPxGXUFbSSGtpQtUqXASxTJFBHIrAqpb4F+Hmt9QvaHk595bpWSSdWrTla+2jEp0+fjkYcew+tOrJLr76q03SBrnKgmvsaodppoxBkwe9mpVUGEHazUA5aCWRDCyuG4GrLhutuLQccg5IZq1LqJ4BfAy5qfzgz+Xr8fD90ada6UgyfyFpzJKnX65pp2Y2/1AkvXPn8xyw92eQO2nBVA6qp17dvruxs1nW2vmzWzmVD2ayRnc2atmhns13zWSM3k3WzWANYN3s1bTPWRn1ts0v+P/SV2lgkcaz3Ad8J/EbjYxmNbNc69uqAvrV17YEmAwRqyYWr62hzYwNfNhtaKaFabCBYtRbCbdM3r0VJ3grd5hLwVa50MTGtpJT6KuA9wDOAR4GXa60/72zzYuDfz//8Y+BHtNbnQq+ZdKxa698Bniw9aKNQz3HOj3SsrtVo3UebFNUHEy/0z9V9jz8pvkkUc7MQrjbwVRlAutLAKFVp4HOz53fud7FGtoP1OVfwV6/EKgVCkrrXNY8Ufgi4V2v9PODdwM/YDyqlLgP+M/BPtdY3Ag8AV8RecLTlVl3HqJeUX9lKlV6lejhrN9yYjBMpzX19HX52Z6EbB+SsAJHq4e+iXNDmxAZL91eErA+0RitxgRMV+AALy9GAD66h6fvsNlqzBMsXB4y8YuZm4I75/z8IvMh5/LnAvcAblVIfA066jtbV2o28klYI+JTqyApVCKzbxCynTp3iwIEDycqAnMlYUtq67vLO9axSF5rz/OsvuTC4vQ3XWGRQo8oAZIMToislWBGBHQ+40YAvspKUA4Y6s+xO1lwjULKUt0TSK92nOX8rpV4F3ObcfRIwPdaPAq6ruoLZGK5nA48BH1NKfUJr/ZnQfkfhWEMfUo5rrTVoICXfWO8+OrB8kroA88NzO7B8sk9Q6+BaU5K62pibDXWA5QxMgLibXfwdiwkC7tXt2ILlDi0jX2dWqyursbpWrfU7tNbfaN+YQfWy+SaXAa5D+ALwKa31ttb6MeCjzCAblAisWusH5tlCVK17gI26lALlODTJSCxX65qzJut/ScM1lrUOCVdb0qy2VmSQqjIwClUXGK0Adq7acI0ZgBRcQznrGICa0F3AS+b/fzHwMefxe4BvVEpdoZTaC9wI/EXsBXt1rK2HPha7VkuhTizfJXWtnNVI6gpqlrT4opGQa/XJB9cQYFNwvf6SC6OX7q2U42ZdleayRi5ggaSDne1g2b2CHK4tFSoNHDlc3wp8g1Lq48CtwBsAlFKvVUr9s3me+lPAh4A/BN6ntf7z2AuOIgqA/Dggx7W6cE1VCKyzTAeWm7HlxAEx+epafbFADK4SwA4hSSeYpMJg5f4CwPoiAqOVCgL8cA2pi2vN1TrUtWqtn9Baf7fW+mat9T/SWm/P73+T1voD8///N6310fnt51OvORqw1lKN8e6p0qvSnDWkmpUBriSdbsa12nFAzLV2hSuM173C+AC7+H8IrnO5cB2Da7U1ctdaVaMCay3XKokEpK7Vd3k1hPqqExwTXGE49wpkd3q5ygWsrZB7DcYCjlzn6sK1tWutMVpwndU7WGvnrH11ZIWUKsS2NWRlgK3SOKALXLtGA0MCFrq52FQOayR1rzG4uldbrc3A9va2aHTWpsF1VI41ptwBA0UdWZ7e1pB8cYBPfQ4UcGVyVhMHxCaXsTuxQq4V/HD1VQuUAjYGWQPYoV1sSqmYYOW+TPcKMrimIoHUXAIpI2AD1QdX9yprk+A6OrCWjENv7VqlZVd9llrF6gSzRmAFXGsOXCHsXmOArQXZPkFbY18lcPUpt+JFotxKFlsSuG6KBgFraRzQi2tNaExznJZopToAgjNepeAqca8QBizEXSzIIAuroG0B29zXjNV158I11KE1lHImZ9lEuFYHa41BAjHXWqMjK75zeRxgNPTM6JKcVTokNzbk1zdsOOReSwFbA7JGNWE7dMYbkjEKuXGAq1pXWyHg1oarOxoudBtKo4sCukgaCSQrBDzKHYXVIhbIaZyhelZbPtcK4bwVZnCVuFdIA7ZPyBr5YOuCtyaQx+pafRO0SJVyq33BdcwaDKyps0mJaw2p1aVTSQdW64XcYu7V14kVWpbGhasPsK5SgO0DsiWwtVXTmXY9lmKNYMDLpi/vsnazW6UkWS4bVtfHWpr5KjCTkFFstqs+FxU8duyYqLPBzHaV1NbhpR+lO/uVu4zLYjJn58Rlf/7uVYQNV/cE6cJ1ZSkVD1xDJ+gU0FrMa5ED0T4W14yt5ybVtHxLmUYNVt9ig0a+RQdjkk4tGJNkPayh5JueLbYypr0W1pkzZ87nyQK4Al7AQjlkIR+0EAZU6opoqElhYkD1tfUuS+N0hWpXbW9vN1vmfewadpXWjstih+Aacq0uXKOrujqruaZUa4HBlHxLDefInqO1FK7gByyUQxbyQQvhyCjWrobo1Ei1cwlU7c8vahIK54GYVE9NwHrs4SeqOYKYa41JGgnYyl3RFcrWwWp9eeVzr+I4wMgDV1jt6AsBFuSQhTLQQnhe2FhGLz2ZlwC4xCiUtO9J49bgUUAr1ypV1LXOlZuzGvWRt9o5qzQOELlWWIErpAEL+ZAFf9lWKjqAcEdmCXBXXqOHHDR0nF1Xx+0id7HBLtrUOGBwsEpU07V2zVpLc9aajbU0DrBdawyuwHIsAEHAQhyyEI8LlrZLuFqQwdaWJE5IqcuqtLn7870f93OwPz/zWedeacW0SUNPW2kUYB2Taw1VB+Soz8qAkGz3GuvEMrLhCgH3Ct5Snhhkwb86QcrVLrYTwNZIEif4lCrfa3mpHjs+33v1QXVJ8+/JnCC7drZ2jaw20a3CSMAqUcq15nRklbhWSelKXx1YMaUWbwu5VhDAFZZPNAnIQnjwRSh+kbpbyIOuUSl8+1QKqLD8+S0+84gJMLGV6Q8w7XRoA1AqablcdI3qhmoG1twOLIlr7bMjK0clHVg1FapnDbnWXLhCYHhvArIQvkTtClxI9Iwjz3JD6jK5T45ixxQDKvg/35IyqxaA3VS3CmvkWCXKiQRipVfSOKBLB5akMiAW/Hctu7KVgiss/1iTkF168TzggjxOsFUC3sVzAyPzWp6MU/IdexSqns/fxADrtHT7btGowFrDtebWtpaoz4ECJb2qoTgg5FrBD1fwz5GQhKytWEZdAF2jVIdZSF0AvPJalYZKp/bve28hqMayVUkMUKvjapPdKowMrFKVRgKucrPWGkMEpcoday2JA1yl4ApxwEL4slM0M5ikY7ADfKEcwLZCU012HckXU+g4V963B6q23GzVp1AMELqiOnToULR9hqDaep6MMakpWEsGCnStEIBy1xqMAwo0hsoAo1iFgA+usDrvrO2AJDN9SU9AnRyvK0FnWkolMURred9DAKj29+SDaq1OqxBcJ6jOtJaOFYZzrSnFKgNq1rJCPGdNVQfY8o3K8rlXo1AMkju1IpR1tARhnFsaVwHErrqsoybat/MeU1C15WuXNmDttikps3LhOkH1vJqDtaVrLZmkpShrFdSzDl0ZAPHZrlJ1rSG4gnzVhK65sxTM1WBcOqY+Mi1fzUJ9IHiM7mcQgqqvTda8kjJwXWeoKqW+CngP8AzgUeDlWuvPO9v8JPA9wBngF7TWvxd7zdE61paRQEySIa5wvgNLUhnQVaXDAmOuVQpX8LufFkvU1OgQzM2CU6oK5AryvQ8JVHPcaq6kbbPLelqN9UPAvVrr/6CU+tfAzwCvMQ8qpb4JuAX4lvlddyulfl9rHSymHS1YpaoRCYTiAF/O2kcHVu56QrYrf9tbAgAABflJREFUkLpWCMMV0pN491XCkwvwLnBOVUDkSrq0T0ixfbvv0/0+QlA1MI251loTBNntcsRQBbgZ+IX5/z8IvN55/OuBO7XWXwRQSv0V8HeBT4ZesBewls521SoSaD1gwNWYOrJchYa7SgHbWrUBHgN1CZRj8UXtE3Do+HKh6io3W5WodQQgWYYc4NnO30qpVwG3OXefBMyH+yjgfqn3Aj+llLoM+ArgucDbY/sdvWOtEQnUOZCyeQNqqVYckDshti+jy4Ft69w5F/xdQO2D8lATn/veh/tZh6BaKwIIyYXqmNyq1vodwDvs+5RS7wMum/95GfCI85y/VEq9hZmb/Szwh8DDsf30Btaac7T6VNO1SnPWrqo1L2sqDugKV1dDd9LZanEsIViXQLlmFh3afwyoIIdql5GAIdntsMUCm5V0F/AS4I+AFwMfsx9USj0duEJrfbNSaj/wYeDPYy84escK/bjWnJxVqtoRQM25LUNwNWq5pPfQE9Wk3lsJrGvCWCrfccYu/btA1SjVBkO56oihCvBW4F1KqY8DX2LWUYVS6rXMHOr/BK5TSn1q/viPa62fir1gr2Dt4lq7DnftOrVgTKYywJRcjWGWq5RrDd1nZI5fCtih32+OuhxrTmQSUmluHdtHzKX6/s6VpEN1HUqrfJr37n+35/43WX/+25zXXAvHmqOcKoHSTixTGTDE4oIhx1A6KUtqIEFfwBy6c0/qqCSfRwtHHFKqjMr3d45bLV3G2udWR+5aq6p3sLZ2rTFlzX7ly1kH7sDqqhBEc0Zpddn3mJV7fF1ORl1jltDr+95DKVRLgTpppkEc65CRQEy1h7f6VGNYqzRr9dW09gHXmhDtE8g57z91XH1eBYSOpU+oprLVTXKrIACrUuoC4JeBZwF/C/yA1vqzXXfcukpAqr5rWluq6xyt5odYEzCtnttCNV1r7LX6OIFNTnVYSRzrS4GLtNY3KaVuBN4I/PO2hxVXF9da0onVdaarIZXjWu3Ha6vGa/a1yJ207rIUnpLPwi2Pk6rlHKu52jSXaksC1puBOwC01p9USj3H3eDZ//s3ax9XFYXGvYjHw9hlwo/Mz+T3x8/oZhij+feGG26Q7m3SJK+mNrSiB7/r7t+6Wrpt0yMJSALWfZwf7gXwlFJqr9b6LMDRo0f3NDmySZMmTfLo6NGj1wx9DCldINjmDOeHewFcYKA6adKkSZNWJQGrGe7FPGO9t+kRTZo0adKaSxIFvB/4dqXU3cAe4BVtD2nSpEmT1lt7zp07V/TEVmVYY5BS6luAn9dav2DoY6khpdSFwDuBa4CvBH5Wa/2BQQ+qgpRSTwN+FVDAU8ArtNb3DXtUdaSUegZwD/DtWutPD308NaSU+hPO99fcr7XetSatywCB0ZVh1ZBS6ieAlwGPD30sFfW9wBe01i9TSn018CfA2oMV+A4ArfW3KqVeALyJ3dEGLwR+BfiboY+llpRSFwHsFrOSkiRjDWmpDAtYKcNaU90HfOfQB1FZv83yrOi7ovNRa/27wK3zP69mNmHxbtAvAm8DxjWCopueBVyslPqwUur352Zs16oLWL1lWB2PZ3BprX8HkE1PvibSWj+mtX50PgP6e5mt6bMrpLU+q5R6F/BfmL23tZZS6vuBz2utPzT0sVTWE8xOGP8EeDXwm7uBFyF1AetUhrVGUkp9DfAHwG9orW8f+nhqSmv9cuBrgV9VSl0y9PF01CuZdRbfyWxlkXcrpepMwjusPgO8R2t9Tmv9GeALwHrOMyhQlzPGXcwyrt+ayrDGLaXUQWaznv+o1vr/DH08taSUehlwRGv9c8wc0ZeZdWKtrbTWzzf/n8P11Vrr3TCA/5XANwE/rJQ6zOyKt84CWyNUF7BOZVjro58GtoDXK6VM1vpirfW6d468D/h1pdRHgQuBHzMraU4and4B/Nf5LP3ngFfu5ivc4nKrSZMmTZrkV5eMddKkSZMmeTSBddKkSZMqawLrpEmTJlXWBNZJkyZNqqwJrJMmTZpUWRNYJ02aNKmyJrBOmjRpUmX9fzC3R6VeKQefAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Mejora rellenando el espacio entre líneas\n", "plt.contourf(X, Y, Z, 20, cmap='RdGy')\n", "plt.colorbar();" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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t2+xYdOnxe+yxxzyP+773vY/Jcz/135lcMfc/rTFHXuQ7wWOd/BmM9cfRuYd75op2tjB5Dl3NZFcEw1BxlDTHRAgPYHudZSiaK3yrToSS5QpVUoqiBBpVUoqiBJpsvHujlVnPfP4lAJ8C0Jpp+lMAO0Ybc1pzzmaQoijjkyxXUiOWWc+wFMDHjDGD78tEdIvHGP9zzmaQoijjkzEqs94M4C4i2jAsW4pnaXa/5L7MusOonBJhMdJw7sqnU1bGK5y4chNJ47Q0eo9UZn24IVPmfXLlSZJG72wM5zLPkGtu0nCeSCSs8Jm6hnlMrpzPU7mUvr4bkvbd3Ejf+hY37ib67FQ5kro/+iSTV6xYYfXZs2cPVq1aNSi7QpmkoXn3bj7f4dVmTiGvv0xzs+iWL1tjZjXytCp9b3Gj+NuFEZTV17C2ZDd3tJQV8j/YGTNmWOeZO3cuk3ft2mX1kc4Ar/xkY8kYlVn/OYB/QbrS8SNEdJOPMb7R1z1FySOyVFIjllknohCAfzbGdGTkxwEsGW3Mac85m0GKooxPxqDMeiWALURUnlFY1yJdD8FPaXZf6EpKUfKILGP3vMqs3w3gOaS9eM8aY57IeATZmKznnO1ARVHGH9m87vkos/5jAD/2MSYrcr/j3FEIIBXjhkI/iej9GM5ljiaZX8plnE4kEmy3t8xl5RojDZ3yPF7FLE6d1+s80nAej8etnekNDdxQHl2whMnVC2TuKKBtBy+jfkzkWmrfaue2SvS+wuSBPn6t62/nuZcAoK2yEitXrhyam+O+ykIAW7duZfKBAwesMTLfunSQyKIRALBo0XImlzfy/Pfh/UdR+m5ugA+LcvQQf9CuvGcyd72rPHprayuT5b13fWdZ5n7OnDlWn2zQzZyKogQaVVKKogQaVVKKogQa1961oKNKSlHyCFc+/qCjSkpR8gh93QMwEPP27hWJCieufDp+SqZLL5v0oLlCXJLJJPOu+BkjvTGuijIS+TB45ZcCbC9QPB5nZcsB2wM4Z85iJtcs5d4yAKjdy0slnjzE827t7LDn0rmT56Dq/wmv0hzvtscU/NHnMPnwUB4nmQcKAKseDQDPPssrMm/ZYlcwluXNf//73/O5Oe6HHHP++eczOVVchv5GXpFFPmNd4r67cl3JfUcuj6Z8FuTztH//fmuMrJ6cK++erqQURQk0upJSFCXQ6EpKUZRAo949RVECjb7uAUi5wmL6hZG1nxtuXSEvsjiDy3AuwyNkbiiXQVUazqUx1GU4lwUesinMIJEGe8DOKxSPx3H4MDd6yxCK6upqJk9afJV13BnHeIjFySP8+7S9zI3zALCrm3/HjgN8bn0/4vmZAGD2ta3Y9fCDg3LjbUetPtdd92Emy/m7cja99hovqiCLHWzfbocCyXt0/DgPDVq4cCE2btzI2mRIi7yv0rEB2PfMz7Mg5yadIYD9nW++Oauklhb6uqcoSqDxs5LyE4t6NlElpSh5hJ+VlCopRVHOGX5WUtmYL8YSVVKKkkf48e657KXnElVSipJHqOEcQHLAfp+VYTEQsp+wGFcpdul18+vdG+7Bk+EprjLr8jzyuK7lsVxW+1lmy7kkEgkr+ZkMoZAeqZIFC6zjll1+PZMb23lYRrzbDvfofo17nHae5H1eaLOvU017Lzb/8q2hYxy1k9FRK/dOvvt9vJx7bW2tNWb27NlM3rx5M5MPHeLl0gFYVXbeeIOn2J49e7bl3auqqmKyvGcyASEA7N27l8ku77AXrnAb13fKBboFQVGUQJPNSspHBeOPAPgCgAEArwP4rDEmSUSbMFTWao8xJqs856qkFCWPyHUFYyIqAfB1ABcZY3qI6D8B3EREzwCAMWb5mc7ZU0kRUQTAAwAIaU35SWOMXQFRUZTAk2VYDKtGTETDqxH3A7jcGHPqPbcAQB/Sq67SjLIqAHB3ppLxaeNHra7KTO4KAH8N4L5sTqQoyrknFAp5/nPgrEYMpKvCGGOOAAAR/TcA5QD+L4AeAN8GsBLpqjE/PTXmdPEcZIxZS0S/yYgNAI6M1t9ZZl0YylMiLMaVg6eiooLJrkodMpzGq3oMkDauDw+LkctfaSQH7Pw/ruNK5HFl3iHXwyBdvwMDA1YlFJlfSjoUZAl7AJg3791MrrmBOxjmOe5ZcoCHvQy8wUNCTJftlOhOJPFK+9C9bn/2batP18G1TF74Nv8+Das/Yo2ZKvJSSUP6W2+9BYl0MEijdywWs0KMpLFa3g+X4VyG6EiDPWA7VuTz7nr+s6yP50muKxgDgzarbwFYAOBDxpgUEW0HsNMYkwKwnYjaANQDsJNneeDrShhjEkT0QwAfBHCr/Hz+v/zd4P9T5fYfyd4arnBCh/nNTqTsCyf/+BYtWmT1Oe+885gsd8q6FEFFRQWWL18+Yh/pIQTsh1V6Y1z7Srw2xLmW3bLUV1VVFVavXs3apGKWD7jLO7ljxw7e0M/HJJrfb40pnrecyRf18u/Y5IjRnDRnJj7wo28OzS1i39eSKH/kjlTzH5+2k/Z1SQoPmmTu3LlW28yZM5ks72ulKL8F2M+CfJ78PBsj/TCOdlyX4hirbAVZbkF4Aek3qodGqEb8b0i/9q3O1NsDgDUALgLwWSKajvRqLCuXZeh0tsAT0TQALwM43xjTDQAtLS2p11d8dLDPoqtm2eP+6Goml1x3O5OPJOwAY/nr+Oabb1p95KpCrqRcv0YrV67E+vXrB2U/Kym5DUD+AstfU8Befcm5yJUiANTV1TH5zjvvxNq1fOUxf/58Ji8QWw6kDADz5s1jcnjnS0w+9vivrDE71vKV1GYfK6kbf/hN/PpjXx2aq+MHq/m8yUxe+Id8lTfVsZLqmXYhk7dt28bkbFZSK1assGoAymchm5WUfFYAuy6g/JFzraTk1pL7778fzc3NZ7TJqaWlJSXrBLpobW1l5xrm3bsYQ9WIlyL9avdq5t9/ATilTL4D4HEAPwAwO9P+VWPMi9nM24/h/A4AM40x30D6PTOJtAFdUZRxRjYrKa8KxhjZtn3baZ/MgZ/XvYcB/AcRPQ+gEMAXjDF2gmtFUQLPhEx6l3mt+8OzMBdFUcYYDYuBu1rMQJ+wX8ikd6W8gghgh8q4wmLKysr4eYSB0mW8TqVSzHYl+8gkZkB2YTHSBiW9bq5Ef3JMKpWyDLEyedu+ffuY7DLCyusyf/57mDx1tW07ioiKPpFCXi0msokn4wPSxorIsL+B7SftcI+O13m4zclDzzG5aRe39wHA7A/ysJ7mS3kCOFeivF27+Fa+3bt3M7mwsBDSPuNVmcfluZNtLpumfD7kszx5MrfTAe7woFygSkpRlECjsXuKogQaXUkpihJodCWlKEqg0ZUUgJQjn1SiTxhQY3xXdHG1bUT2YziXfaRB25VPKpVKsU16so/L8CnbpDHbTz4paTh35dDyU6Jb7iiXxl3X7neZ40jmrWpq4iXIAaDmQ2uYfNFk7tyIPmzvy+spCOOKyUM7yF9zlG8/0s+N+P/vMN/02vaQvWn3xG7uLJi3yjB56jX2jvlpVyxn8vTp05nc2tqKpUuXsjZ5/eV9l4Z1Vx9XPil576XDp6GhwRojoylyha6kFEUJNLqSUhQl0KiSUhQl0KiSUhQl0EzIsBhFUSYOupICkHTkGRro5d69ZC9PXeEKEZFJ7ior7dAZ6fGTni+XpyuVSrEwEendc+Vjkt4wmWrDT1iM9By5UrXI7xiJRKzvKI8rvUuu+Xd0dDBZhv7IVCIA0NTUxOTpqz/P5POm8cRzALAtWYp33754UJ7yzHarz5v7+bkPiDxVW13J9F7moTLdR/l3bnCE0tRfx9O5NL77Bn6M7lLrO8pnTt5XV6qW9vZ2JssUPS7ks1BfX2/1Of982+OaC1RJKYoSaFRJKYoSaHSflKIogUZXUoqiBBpdScEdFjMQ58bRVB8PHShI2QZuacSUoQSAbTiXIQmusBiJNK67xmRjOJcPgwyDkSW9AaCmpobJBQUFVptEGs5dhltp8JU5kFx5uWXubiJi8oIr7cywRVtfR+Pn/mxQrl74qNVn6m83Mfmd3/FQkz2d9vU/meDXd8de7giI/YYbyQGgt40b6Gcf4/mvIos+gKrOvazt4osvZrLMw+XHcJ5NmXVXiJTr+cgFupJSFCXQZKOifJRZX4V0Tc4EgAeNMQ94jTkdxt/aT1GU7Eklvf/ZDJZZB/AXSJdZBwAQUSGAfwLwPgBXA/iTTFWpEcecLqqkFCWfSCa9/9mwMusAhpdZPw/pIqDtxpgYgA0ArvQYc1qoklKUfCIZ9/5nM2KZdcdnXQAmeYw5LXJfiCFul+SThRiS3aLYQa+941nuynWVWZc7tKXR2LX7OhQKsUrB0jjq2qUu26SczY5zWfwRsIuDFhQUWG0SuXvcVWVX7iiXxRxkTirALjn+zjvvMPnwYbsQQ21tLQ4UDxn6Z378bqtP2aLfMnnahvVMrt9gF/o8to3P92Q7d2T0OXapHxXFTCOFrzE5Nf9q9G7lObHKr/oQk6WzoLWVHxOwC8W6jOvy+ktHjKv4h+s5zAkelbVHYLQy6/KzCgAnPMacFrqSUpQ8IpVKev5z8AKA9wOAo8z6VgBNRFRDREUArgLwkseY00K9e4qST2S3knoEwAoiehGZMutEdBuAcmPM94joSwCeRnrR86Ax5gARWWOynbIqKUXJJ1K2OcALrzLrxpjHADzmY0xWqJJSlHzC/ToXaFRJKUo+MTBGBvkx5JxUi0n1dQvZ9m6UlHKvlp+wGK8wGcD27slMhamUI6zHhwfQdZ7hyPn7Ka1dVFSEmTNnjnoe6RlyxWbJUB/pBXWVD5ceP+nFkmXLAeDWW2/Fyy+/PChfeOGFVp+mpmVMrj3vMiZXX/q8Naaz5WUmt725h3/+Dg+TAYCBGL9nsW5Rsag/js493INZ2MAr1dRddguTGxsbrfPMnTuXybLsPWCHLklZXlvA9qbmrHpMdjapc4qupBQln8jCJnWuUSWlKPmE2qQURQk0+rqnKEqg0ZXUCIUYhOE82S3CYFxhMTW89LTLcC7bvMJkgLRheXjZaz9JwLzCYmQIjKtNhvW4wmKk4bygoMDZNpzq6upRzwPY31HO3xU+JK+dDPdw5aBasWIFHn/88UHZGGP1ueiii5gsCw7MO++91pjJi3lb1a4WJsd2vm6N6XmHG8Wl8+ZYYQQltR45m8Rz6SqeIR0g0nkD2PdMXtv9+/dbY157jYfx5MxwPuCMzQs0upJSlDwipa97iqIEGn3dUxQl0Ew0JZXJuvcggEYAxQC+boz59VmYl6IoY8E4fN3zshrfDqDNGHMlgBsA/O+xn5KiKGPGQNz7X8AIucJATkFE5QBCxpguIpoM4BVjDIsDaGlpSfVsHwqRKC6KQFJYXsTkonLugQqV2h6RUBH33CUcvwDxePy0ZCAdajI8LEGGjLiqxcjjSO+YqwLHcA8iYCe9c3mBZNWQUChkeYbkueT9cyW9k/OXSdekDNgVceQxXIn+pk+fjoMHh6q/uDynw0OSAPu6SNnVVlxcLI5pvxCk4uI+ij++vmQY0ZD4DhE+NxTy87iuk/TUuUrWS++pfH5kaBZgf8cZM2agubn5jEq9tLS0pJZM8lZCmzoKz/hcuWTU1z1jzEkAIKIKAL8E8Feufjs/d8/g/+fMsd26My6dzeTpy3jpoOjiq6wx4bk87uv4SdtNLrNDSjf58D+YwbnMmIFXXnllUJYxaLt27bLGyOPI87i2IEyfPp3JMo7tsst4zBoAXHDBBUyORqPWFgP5ByuVhyszpIzN27FjB5O3bbNLQu3Zw+Pj5LV2xUV+7Wtfw7333jsou7aN1NfXM3nBggVMltcAsDNkzpo1i8l1dXybBgCkDvPvmDrBt0yY3igWFPMYunDVNCYP1M5n8vbt263zvPrqq0xet26d1eeNN3i+N3mPXD9YMibw61//utUnK5J+wmIKvbucRTwN50Q0C+mkV981xvxs7KekKMpYMeG2IBBRHYBnAHzeGPPs2ZmSoihjhq+VVLDwWkndDaAawD1EdOqd7gZjjP3upShK8JloSsoYcyeAO0/ngKmkIx+TCEmId3MdV3TStqOEe3hbSYlt65Lv8jJPjwyTAdLG3KmdbVQAABQtSURBVOGhI9LA7bIv+Qmd8UIaQl12CBkqk0gkLJtUebmw84jlu+zvOq68Lq6S3rJN2mNcOZAAfq06Ouw8T/IeyQosrjxV0mYm7VhNTU3WGGn7qqnjNsHUoUOIzeFt0qB9QlTMcVWLkfm8XI4XL6STArDL3OeKlMOZlA1EVALgJwBqkS5j9XFjTKvo80UAH86ITxhjvkZEIQDvADhlNHzJGHPXaOfSzZyKkk/kbiX1GQBvGGP+hog+jLRTbXBBQ0RzAXwUwHsApAD8V6Y4Qw+AjcaYVX5PpEpKUfKIlB8l5e/FYRmAb2X+/ySAe8Tn+wFcb4wZAAY3hvcBaAYwg4ieA9AL4IvGFYk+DFVSipJP+PHuCSVFRJ8C8EXR6wiGKhSfqlo8iDEmDuBY5vXuHwBsMsZsJ6JpAL5hjPkFES1D+pXxktGmo0pKUfIIXyspgTHm+wC+P7yNiB7GUIXiU1WLIfpEkQ6r6wLw2UzzqwASmeNuIKIZRBQyxoy4q1yVlKLkE7mzSZ2qUPx7pEPm/mv4h5kV1KMA1hljvjnso3sBtAH4FhEtArBvNAUFnK2kd3GRNK6bhxcku+1qManudiaXiN3AgJ3gTXrMRvLuDe8nx0hv36kxp4sMX/EKBwHsHdonu7pQXspDZeROavRzb1m0kPcHgBnV/NpVV3Ov1tSpU60xcsf87Nk8asBlRohGo8zzJivOAN5hJK5QpvZ2/izISiouj6Cs7CK/z5QpU9DSwpPnyXsm57p3717rPLLN5dGUIUTyGXMlKpQhUrnCl3fPfjRd/B8APySiDQBiAG4DgEw1450AIgCuBlBMRDdkxtwF4O8B/ISIbkR6RfUJrxPpSkpR8okcraSMMT0A/sDRft8wcSR1d+PpnEuVlKLkExNtM6eiKBOLCRe7pyjKBENXUiOUWe/lhvNYF0/zkeyyw2JS3bwtJAzpgLfh3FUtJpFIMIO6NFa7DJYy3082hnQ5xmWgt9oGEkAnNz4PHN4tZF7W2/VLGZnEK5qU1Dcyec7UOdaYujq+dUUazl2hKOFwGKtWDW0kdhm0ZTiNNK7LsBkXMvWMq+y9TIciz3v11Vdj48aNrE3eI2nUPyTCZAA7pY008gO24Vw+py7HRUNDg9WWC1KJ4CW180JXUoqST+hKSlGUQKNKSlGUIJNypJcOOqqkFCWfUO+eoiiBRl/3gKTDuzcQ5xdGJr1LOpLeybbQyeNWn9K6eUzu6+OeOldYTEdHByoqKgZlmRDOVTxAJqyTifFclVO88FNJJZUaQKqPe5ikN697104m95+wPZohca7iah4OEhUhIwBQNJMXIWicwRPNNV55pTVmy5YtuP766wdlWbzB1SZDXI4c4QUTAOD4cX7vZfUV1/WXbdLbF4vFLI+fDMmRIS4u755MhCeT4AH2vZbePZcnr7m52WrLBUn17imKEmRSjtjaoKNKSlHyCFVSiqIEGg2LURQl0OhKCiOFxXDDuaweE+u0QyEKOnjoQ6TKDjdAF+9TVlbBZGlgBdKhDqPlk3IZzmXuJ2k4d4VlyPLn2RjXkUoBCV59JNnDDeknD3DDbdc+u6JJrNuuRjKc4so3rbbSqa8wuWJ2HZPL5tqhNAUzLsGU1qFj1c60Q2dkJWcZ4iJlV5sMPXEZq2WFZVkivaCgADU1NaxNGte9ytP7OQ/gXUpeVrYB7Io4uWIgpoZzRVECjL7uKYoSaPR1T1GUQKNKSlGUQKOve4qiBBpXoZRs8Flm/X8BuCLzOQDcjHTRhlHHSXKupGQIDAAMxGRYDPeAyCR4AFAsvHvhTtvrEynlIS3FQnZV4YhEIqy9qqqKfe4KpcnGuzcgos2lpygWsz1ucgwQAsIiVCY5uqe055jDo3mIewT7O/kYl0c2XMjDVUqqefhNWd1ma0zBnzVi18MPDsqT5s2w+lTMncnkmsbzmDy1noc6AUBo7mIm9yZ5EkKXd08mrJMhLgMDA7jkEp7YT4boyDAlV0I+eVzp7XMhq9K4Ei1Kr3OuSMbsZzVLRi2znmEpgJXGmGOnGjLVZLzGMU4/xaSiKOOWVDLp+c8nywA8lfn/kwCuG/4hEYUBNAH4HhG9QERr/Ixzoa97ipJHZGM4z6bMOoAyAPcDuA/pGnzPEdGrACo9xlmoklKUPCIbJZVlmfUeAN/J1OcDEa0DsAhAp8c4C33dU5Q8IplMev7zyaky64CjzDqABQA2EFGEiAqRfs3b6GOcxVkJi7HzSfFQD1dYzEAnV7CRdtsBEC7lRu5QlIfFlJXxKilA2nA+3Cg5PLcU4M9wLqu6uIzgMiymv59/Z1f4hHWccAgo4kbVcJSH7YQLvW+hDEtqP8nP0x63H8xe+Yt7lN+joh12fq+ld/Ri8y/fGpRry3Zafcrr+fyrGp5j8qQ5tdYYaYAvmd3I5Cki9xUA1NbxPtL4vuWtrZg/n4+bNo2Xo5fPgusP2E9YjBwnnSgug7wM6ZI5zbIlh/ukRi2zboz5NRH9FMDvAMQB/MgY8yYR7XGNGw193VOUPCIZz03snp8y68aYbwH4lp9xo6FKSlHyiPG449yXTYqI3kNE68d4LoqijDGpgaTnv6DhuZIioq8AuAOAd2lZRVECTa52nJ9N/Lzu7QJwC4Af+zmg6yJYZdZFfqO4Y8d5XxvfRRyptHech0orRpWLynm+ICCdFH/4jnO5s9dlOJc5pqTh3FVUQe4el4ZQVwl42ScULkCoghv/I5O5cbdsGv+87LBt0O5t58ct7+JG/M6Ey3DODf8dwvkRS9oOkoWJJDaeGDIcF3X2W33KW/lv3VTD51tXzAtNAEDNtK1MrmrgW2smzZlijaleMIvJZQuIyZHaJajuepuPuZAb16Wx2uUgkbmuXPdVFpKQhnK50x2wy7cvWbLE6pMN4zF2LyS9UC6IqBHAz40xl8rPWlpaUj3bdw/KBWLLPwBECvkfcaSIhzVEim1dGSniIQlhoRgAIFQo2oqi4nPbI9Lb18/CHaTXzRXWIB886cFxhcVEIvw7ytAH6VV0taWSSUSL+XdM9XDlPdDN5xbvsb1LiT4RSiPDlBwKJy6eC+m0dT03k+bMRMeeoT84Gf4BABHRJJ+XQnsIIoX8WhYUi+enyPH8RMUPifDQ9heUIsoPY3lS/TwbMiTH5d2Tz4f8UXOFxchnobS0FM3NzY6r45+WlpZUyXf+xrNf751/c8bnyiU5MZzv/Nw9g/+fErUPWVEvViuzhNt/zlR7zCyRCXLObKtPQX0jl2t43Fdomh0HtmXbDuZq3r17N/v8rbfekkOwYcMGJhtjmCwzOgL2Q3b++ecz+brr7GiAZcuWMTne34eF83i5o/jGp5ncsfEFJh/dvMM6btc2/mt/Yh//wzrYZyvZ1n6uyPyspG764Tfxm49/dVAuCtvPeXkB/wOdKn6g6oql5gBqpsltC3wlVZ7FSmp37RIsrBLzm72QiTt28Gu5dStf0QHAc8/xLRRbtmyx+siVlFyZy2cDAJYvX87kXK2kJurrnqIoE4SU48cl6KiSUpQ8wlW8N+j4UlLGmL0ALHuUoijjiyBuMfAi92XWHctJGRYjwzRinQ7v3gmeD6iw7ZjVJxzl+aKSFTw3VKTMMcbDu+fK4yM9fjLPUK68ezIHUlFREWIhbgAunD6Xz7eJly1P9NkeqHCEz6+whN/2ov38vABQ1sGNxkf6uf3meMzOGybpdvxqd4vrIo9zoNe+ljU9fJd03QF+7eq22R7NanOUyVPO5yXVU7fORe/WF1lbyQC3zc2axSvbSNsSAOzbx72RLk+dtFlK797bb3MvIwBs3LiRyTnz7k3UlZSiKBMD6dl1ERi3XgZVUoqSR7jedCS2f/XcokpKUfIIfd1TFCXQ6D4p2DuTAWAgxi9Moo8bQvs77V26RZXcmN5/wjY0F1ZwQ2ZY5JwKV9r5pMLhQmY4l8Ua/ITFyHAJl+Fc5hCShnNZKtzVNmXKFMvoWlvLN6gWLeDHrS7mO6sBoKRWFJto5Nfp5AHbwVB7iG/4nH2QX/+eNrvgQ3lBGFdMHrqe7nAb3iY3hUYcu9TlptABsdu9r8sOv+kW+a+KK/mzEuqPo3PPIdZWMGMXk0tm8CIR1dXV1nlkqXaX40U+H9JpcvQoN/IDwLZt26y2XKArKUVRAo0qKUVRAo2r5FzQUSWlKHnEhN1xrijKxCBXO869KhgT0WIA/zxsyKUAVgN4GsA7AE5Fb79kjLlrtHOpklKUPCKHNqlRKxgbYzYDWA4ARPQHAA4aY54iovkANhpjVvk90Rh49xxhMTJ/kZUEz04OL715Mj8QABTInEEi6V242k4BA0wBeoY8ZtK7Jz15gO2x8RMWI3MISe+eK73LsWPcy1ZVVWW1lZTwFCQVjTxcoqjSTltS2MC9VKXt3Js0ud32Lg2c4B7AvraOUWUAaK0pxbs+cvGg7ExmKMJtEiJNjGtHtPzDComkVDI/GQCUVHMvZ9k07pnrLoxYXs9wmfDsFuSmQotEen5dyfRkiFTOzp07JbUMQ0UWngRwj6sTEZUB+BqAqzJNzQBmENFzAHoBfNHI3EcCXUkpSh6RjeE8ywrGp/gUgF8YY0792h4C8A1jzC+IaBnSr4yXjHZ+VVKKkkdk87qXZQXjU3wUwK3D5FcBJDLH3UBEM4goZIwZcWJawVhR8ogcVovxrERMRJMAFBtj9g9rvhfAFzKfLwKwbzQFBehKSlHyihzapDwrGCNdan2vGPf3AH5CRDcivaL6hNeJzoqSSooy3nFhKI+X2IbDvg4+tUjUERZTxhPYF1fxXN6u0uypymqkuodCJEpKuHHdlRRftvkJi5HGUJmg35WbSIZHNDQ0WAb2ggJ+XfpEqEZpBS9JDgDFU3gOqkKZezxuh7ign4eVlAhZfg4AHW39mPtnXxiUk92dVh/ZlurjxvVUvz2XZEyETcmKJ0mHnaWAOzciFfw67SqrRPllPM98ZCZ3MLR38mdOOjEA2wHiKsRgTU3cQ+m8AdyFOnJBrrx7PisYv4L0toPhn7cDuPF0zqUrKUXJI5I+qkMFDVVSipJHuKr8BB1VUoqSR7j2MQYdVVKKkkeMw9A9VVKKkk/oSgpuTZ0Qu1wLRBK82Ek7LCZcyMMnZIUTAOiL8tCMogruJYlUc28fAKBiAOgdCjkonjSTfezy7knvS5Eo+e4n6Z30+rjCYqR3Lx6P4+DBg6OeS4ZPSM8jYJd8d83Xa4wt2xuM46ETOBgdSjRYUO4ofy6OI0OMpOfL1cdrbmn4gyj/NlNbtyI2h1eD6ejgz9P+/TuZvHMnlwFg7969THbdVxkiJcOs6up4tW7AXdU4F+hKSlGUQKMrKUVRAk1s/KU4VyWlKPmErqQURQk0apOCW1PLJWaByCEk8wMBdo6g3nY73KAgyg2q/aI0e8lJR2B2cgCpnqGQDmkEdxmeo9GoZx/rNB6Gc1eZdRl2EY/HcfgwL6MujyuN+n6M+DJkx5XPSBp75TFcLFy4EC+//PKoc5GGcXn9pQx4X3/XGGlsD4kqNJFIBC0tLaxNOiFkyfStW7da55HGdJfhXF47mbOsoaHBGrN48WKrLRfoSkpRlECjKylFUQKNhsUoihJo9HVPUZRAMw53IKiSUpR8QldScBvm5HtwRFQEcXn3Yt3c4xQpsj1F/Z3cY1bcyROoxbtsDxqSSSR7hrw44RhPsubyFMk2P9VivDxq3d120jjpGUokEpbHTx5Xzk165QC7Uk1nJ08855qLHCPleNwOZaqvr8fjjz9utQ9HXivp7ZPXFrBDlaR3rLJSVHmBHXoir9PSpUuxceNG1iavw6FDh5gsQ2AA4MiRI0yW1xawv6Ocf319vTVmzpw5VlsuUMO5oiiBRldSiqIEmgnp3SOiMIDvAlgEoB/AHxtj7HBwRVECz3h83fNT0mo1gKgx5jIAfwHgH8d2SoqijBUDqZTnv6ARSnlMiojuA/B7Y8zPM/IBY8xgSZKWlpbgfStFmYA0NzfbHqbToKWlZS8AOwbH5u3m5ubGMzlXLvFjk6rEUDllABggogJjTAI48wunKMrZIUiK53Tw87rXiaFyygAQPqWgFEVRxho/SmqwnDIRXQrgjTGdkaIoyjD8vO49AmAFEb0IIATgk2M7JUVRlCE8DecjMR63JhDRewB80xiz/FzPZTSIqBDAgwAaARQD+Lox5tfndFIjQEQRAA8AIAADAD5pjNl1bmflDRHVAmgBsMIYs+1cz2ckiGgThmzCe4wxebdIOJPNnINbEzKvgf8I4ObcTCv3ENFXANwBwI4BCR63A2gzxtxBRJMBbAIQSCUFYBUAGGOuIKLlAO5DgJ8DYPBH4N8A9Hr1PZcQURQAgv6jOtb4sUmNxDIATwGAMeZ3AN6VkxmNHbsA3HKuJ+GTXwC4Z5gcWEeFMWYtgD/JiA0AjozSPSh8G8C/Ajjo1fEcswhAKRE9Q0TrMouBvONMlJRza8IZzmfMMMb8CoAdFRtAjDEnjTFdRFQB4JcA/upcz2k0jDEJIvohgPuRnm9gIaJPAGg1xjx9rufigx6kFepKAJ8G8NMg/42NFWeipHRrwhhCRLMAPAfgx8aYn53r+XhhjPk4gAUAHiCiMq/+55A1SDuC1gNYDOBHRDTt3E5pRLYD+IkxJmWM2Q6gDYCdMmGCcyZa+QWk7REP6daE3EJEdQCeAfB5Y8yz53o+o0FEdwCYaYz5BtK//EmkDeiBxBhz1an/ZxTVp40xh0cecU5ZA+AiAJ8loulIv70cGn3IxONMlJRuTRg77gZQDeAeIjplm7rBGBNEQ+/DAP6DiJ4HUAjgC8YYu7SPkg3fB/ADItqAdN34Nfn4tpL1FgRFUZSzwZnYpBRFUcYcVVKKogQaVVKKogQaVVKKogQaVVKKogQaVVKKogQaVVKKogSa/w9WKDzUHq8tJwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Mejora suavizando saltos\n", "plt.imshow(Z, extent=[0, 5, 0, 5], origin='lower', cmap='RdGy')\n", "plt.colorbar()\n", "plt.axis(aspect='image');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "¡Lo mejor es combinar ambas funciones y usar etiquetas!" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "contours = plt.contour(X, Y, Z, 3, colors='black')\n", "plt.clabel(contours, inline=True, fontsize=8)\n", "\n", "plt.imshow(Z, extent=[0, 5, 0, 5], origin='lower', cmap='RdGy', alpha=0.4)\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si tenemos outliers es posible que lleguemos a ver mal una gráfica de estas características. Pero tiene solución..." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo usando ruido\n", "x = np.linspace(0, 10, 1000)\n", "I = np.sin(x) * np.cos(x[:, np.newaxis])\n", "\n", "speckles = (np.random.random(I.shape) < 0.01)\n", "I[speckles] = np.random.normal(0, 3, np.count_nonzero(speckles))\n", "\n", "plt.figure(figsize=(10, 3.5))\n", "\n", "# En la gráfica de la izquierda vemos que la magnitud del ruido ha arruinado el rango de la gráfica\n", "plt.subplot(1, 2, 1)\n", "plt.imshow(I, cmap='RdBu')\n", "plt.colorbar()\n", "\n", "# En la gráfica de la derecha conseguimos arreglarlo\n", "plt.subplot(1, 2, 2)\n", "plt.imshow(I, cmap='RdBu')\n", "# esto es lo que usuamos para arreglar la visualización...\n", "plt.colorbar(extend='both') \n", "plt.clim(-1, 1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Histogramas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para pintar histogramas tenemos la función `hist()` de pyplot. Estas gráficas son fruto de repartir los datos disponibles en diferentes cajones o intervalos." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo\n", "data = np.random.randn(1000)\n", "plt.hist(data, bins=30, density=True, alpha=0.5,\n", " histtype='stepfilled', color='steelblue',\n", " edgecolor='none');" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD0CAYAAAC7KMweAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAQkElEQVR4nO3df4zkd13H8ectBy1wd6VycFC78Se8mSZwhNbkrhY4SYspoVAkamyMobbGxh8RiCaFiDEGozFWAtGLnAooaEgxngEiRaA5gStVu6ZQ07m3nqbme9d4cO398I7u3d4P/9i97dzu7Ox3Z2f2O5+d5+OvmfnOfPd1k9nXffYzn+/3u+HixYtIksox0XQASdLKWNySVBiLW5IKY3FLUmEsbkkqjMUtSYXZuBY/ZGpqyjWHktSH66+/fsPCx9akuOd++Fr9qCW1221arVbTMWoz7/CVltm8wzVqeaempro+7lSJJBXG4pakwljcklQYi1uSCmNxS1JhLG5JKozFLUmFsbglqTBrdgCOxtOXHz8yf/vm67Y1mERaPxxxS1JhLG5JKoxTJRqILz9+hOrQaQ5fPFJrSqRzCgWcRpFWwhG3JBXG4pakwljcklQYi1uSCmNxS1JhXFWinvo5gGbhihFJg+WIW5IKY3FLUmGcKtGacQpFGgxH3JJUGItbkgpjcUtSYSxuSSqMxS1JhbG4JakwFrckFcbilqTCWNySVBiLW5IKY3FLUmEsbkkqjCeZakJ+4dnbcWtzOVbIK7NLo8ERtyQVxuKWpMI4VaJF6p432/NrS81YtrgjYgLYDWwHzgB3Z+bBLs/bAzydmfcOPKUkaV6dqZLbgSszcydwL3DfwidExC8Crx5wNklSF3WK+ybgAYDMfBi4oXNjROwEdgAfHXg6SdIidea4twAnOu6fj4iNmXkuIl4O/DbwDuCneu2k3W73HXJQpqenRyLHpsPV/O1TF5bO01Te6tDpvl43c3aG6lC1/BO7aG94uq/XrdaofCbqMu9wlZK3TnGfBDZ33J/IzHNzt38S2Ar8A/Ay4AURcSAzP7FwJ61Wa5VRV6/dbo9EDiae6LjzxOXbOtZ1N5X38MX+vnSsDlVMXjvZ12tbrWbWhI/MZ6Im8w7XqOWdmprq+nid4t4P3AbcHxE7gMcubcjMjwAfAYiIdwGv6lba0nI6V6h4YI/UW53i3gvcEhEPARuAOyPiDmBTZu4ZajpJ0iLLFndmXgDuWfDwgS7P+8SAMkmSevDISUkqjMUtSYWxuCWpMBa3JBXG4pakwljcklQYi1uSCmNxS1JhLG5JKozFLUmFsbglqTAWtyQVxuKWpMJ4lfdRk1+Yv7npcHX5RRc6LrIgaXw54pakwjjiLknHaHwRR+PS2HDELUmFsbglqTBOlawXndMoTptI65ojbkkqjMUtSYWxuCWpMBa3JBXG4pakwriqZD1aeKBOjVUmX378yJDCSBo0R9ySVBiLW5IKY3FLUmEsbkkqjMUtSYWxuCWpMBa3JBXG4pakwljcklQYi1uSCrPsIe8RMQHsBrYDZ4C7M/Ngx/Z3AvcCF4E9mfnnQ8oqSaLeiPt24MrM3MlsQd93aUNEPAf4feBmYCfwGxGxdRhBJUmz6hT3TcADAJn5MHDDpQ2ZeR5oZeYJ4MXABuDUEHJKkubUKe4twImO++cjYn6KJTPPRcRPAN8EvgrMDDaiJKlTndO6ngQ2d9yfyMxznU/IzL+LiL8HPgH8HPDxhTtpt9uriDkY09PTI5Fj0+Gq1vPOzsxQVfWe28upC8v/m6tDp1f9c2bOzlAdWn3e9oanV72PukblM1GXeYerlLx1ins/cBtwf0TsAB67tCEitgCfA96cmWci4jRwodtOWq3WAOKuTrvdbibHwvNjT07WellVVUzWfG5vTzx7c4lzcx++uPrzcVeHKiavXX3eVmvbqvdRV2OfiT6Zd7hGLe/U1FTXx+sU917gloh4iNk57Dsj4g5gU2buiYi/Br4aETPAt4BPDSizJKmLZYs7My8A9yx4+EDH9j3AngHn0hrwqjdSmbx02aD0cbkwSeqHR05KUmEsbkkqjMUtSYWxuCWpMH45qZHTudrl5uvWbk23VAqLe1gWrjKRpAFxqkSSCmNxS1JhLG5JKozFLUmFsbglqTAWtyQVxuKWpMK4jnvcdKwv3/rkcY5e86YGw0jqhyNuSSqMxS1JhbG4JakwznFLA7Cv2rfktl2Tu9Ysh8aDxb0ankhKUgOcKpGkwjjiXucerY43HUHSgDnilqTCWNySVBiLW5IKY3FLUmEsbkkqjMUtSYWxuCWpMBa3JBXG4pakwljcklQYi1uSCuO5SpbTeQbAuLW5HJI0xxG3JBXG4pakwiw7VRIRE8BuYDtwBrg7Mw92bP8Z4N3AeeBbwC9l5oXhxJUk1Rlx3w5cmZk7gXuB+y5tiIjnAx8EfiwzbwSuAt46jKCSpFl1ivsm4AGAzHwYuKFj2xngxsz87tz9jcD0QBNKki5TZ1XJFuBEx/3zEbExM8/NTYkcAYiIXwU2AV/qtpN2u73arKs2PT294hybDlfzt09daC+5bRjOzsxQVav7GUeP9v5/tLowuH/DzNkZqkODfU8+vsT+dky+cCD77+cz0U11bOl/d/vU4D77g8q7Vsw7HHWK+ySwueP+RGaeu3Rnbg78D4BXAu/MzIvddtJqtVaTcyDa7fbKc0w88eztaC29bQiqqmJycnJV+3iKZS5dds3q9t+pOlQxee3g9tdLq7VtIPvp6zPRxZHqyJLbWpOD++wPKu9aMe/qTE1NdX28TnHvB24D7o+IHcBjC7Z/lNkpk9v9UlJqxr5q35Lbdk3uWrMcWht1insvcEtEPARsAO6MiDuYnRZ5BLgL+BrwYEQAfDgz9w4prySNvWWLe24Ufc+Chw903HYtuCStIQ95X4nOw9+1bg162mGp/TmFoX45WpakwljcklQYi1uSCmNxS1JhLG5JKoyrSsbc1icfnL999Jo3NZikDL1WnAxqX6420XIsbq17FqTWG6dKJKkwjrg1r3PaBJw6kUaVxS0V5JFjj/Q8E6HGg1MlklQYR9waW/uqfVTHKkewKo4jbkkqjMUtSYWxuCWpMM5xqyj/fvwbAGysXnTZ4x5Mo3HiiFuSCmNxS1JhnCpRkR6tjl92f9dkQ0GkBjjilqTCWNySVBiLW5IKY3FLUmEsbkkqjMUtSYWxuCWpMK7jlkbMIC9I3Gt/niagXI64JakwjrilMeVIvFyOuCWpMBa3JBXG4pakwjjHrZF06YIJkhazuNWXrU8+OH/76DVvajCJNH4sbjXGUfVo6rWO3BUno2HZ4o6ICWA3sB04A9ydmQcXPOcFwJeAuzLzwDCCDk1+oekEI8tRtTSa6nw5eTtwZWbuBO4F7uvcGBE3AF8Ffmjw8SRJC9WZKrkJeAAgMx+eK+pOVwDvAD454Gzq08LLeklaX+oU9xbgRMf98xGxMTPPAWTmfoCI6LmTdrvdb8aBmZ6eXpRj0+GqoTTLOzszQ1WtPN/Ro9MDz1JdWJDj6e8s2jZzdobqUP28R6ePDiQbwCcf6m/cMNPne9yUpvO2T63s97jb79woKyVvneI+CWzuuD9xqbRXotVqrfQlA9dutxfnmHiikSx1VFXF5OTKr4L7FEMYcV9zeY6tEy9ZtK06VDF5bf28J44fGkg0gMnJF/X1un7f46Y0nbc1ubLf466/cyNs1PJOTU11fbxOce8HbgPuj4gdwGMDzKUx4OqR9W+plSjb2La2QcZEneLeC9wSEQ8BG4A7I+IOYFNm7hlqOknSIssWd2ZeAO5Z8PCiJX+ZuWtAmSRJPXgAzjrhShJpfHiSKUkqjMUtSYUZz6kSD3Nfsc7D30dR51TRa/tcGiiVYjyLW1JfBn0hY/XHqRJJKozFLUmFsbglqTAWtyQVxi8n1dW/PfOf9Z/8X7PPPXnyBBfPXMXJF79mSKlWztUmWo8ccUtSYSxuSSqMxS1JhbG4Jakw6/fLyc7D2uPW5nJI0oA54pakwljcklSY9TtV0mlu2mTT4WqkLw4sSXWMR3FLKkavMxDumty1ZjlGmVMlklQYi1uSCuNUidYdL5xcBi/K0D9H3JJUGItbkgrjVMmI63Va0tVOCazo1K2SRobFrYHb8tS3ltw2SufqlkplcUsamkeOPcKR6kjTMdYdi3ud6DXt8brnv2INk4yuutNOXilHo67s4vYMgJLGkKtKJKkwZY+4x4wHlgzOpffy6NEzPIXvaylWetDOej23icWtxixcfdK54qTXNmncWdyF6Wftteu1pcW6jd6rYxUtWmsfZoUs7iF7tDo+X5w/+JIXXrbtRaeu6foaVzU0yxUm68d6PR/K6Bd358qRQTxPkgo3+sU9pvYde5yjzxzlJM9vOoqkEbNscUfEBLAb2A6cAe7OzIMd228Dfgs4B3wsM/9sSFnHxqPVcf77mdOcPHmWLVss7tI41VK2Eq7AU2fEfTtwZWbujIgdwH3A2wEi4rnAh4AfAU4D+yPic5n5v8MKrLL1Oo9Jv9s6ufpE46BOcd8EPACQmQ9HxA0d21rAwcw8BhARXwdeD3xm0EElqWmjso68TnFvAU503D8fERsz81yXbf8HXNVtJ1NTU31GfGmfr+vi6pfy7VOD213dn7n96ld23XT+6qVftv3qV0L3RSejq7S8AN872Xv7t1e+y9dfsXlVr+/luiuuG/g+h2nc8059u9/e661OcZ8EOj6JTMyVdrdtm2HxYWjXX3/9hr4TSpIuU+dcJfuBtwDMzXE/1rGtDbwiIr4nIp4HvAH4xsBTSpLmbbh48WLPJ3SsKnkNsAG4E3gdsCkz93SsKplgdlXJnww3siSNt2WLez2KiFcB/wxsy8zppvMsJSKuAj7F7HcJzwPem5kj9xfNcktGR83caqiPAd8PXAF8MDM/22ioGiLipcAUcEtmHmg6z3Ii4n3A25j97O7OzL9oONKS5j4Tf8nsZ+I88Auj/B6P3WldI2ILs0sazzSdpYb3Al/JzDcC7wJG9a+Z+SWjwL3Mvr+j7GeBpzLz9cCtwB83nGdZc8XyUeCZprPUERG7gBuBHwXeCCzzLXDj3gJszMwbgd8BfrfhPD2NVXFHxAZgD/B+4LsNx6njQ8z+ssLsF8mj+tfBZUtGgRt6P71xnwE+0HH/3FJPHCF/CPwp8GTTQWr6cWa/D9sLfA74fLNxlvUfwMa5vx63ADMN5+lp3R7yHhF3Ae9Z8PD/AJ/OzG9GRAOplrZE3jsz818j4mXMTpm8e+2T1dJryejIycxTABGxGfhb4DebTdRbRLwL+E5mfnFu+qEEW4HvA94K/ADw2Yh4VWaO6tzsKWanSQ4wm/2tjaZZxrot7rn5tMvm1CLiIHDXXEm+DPhHZlfCNK5bXoCIeDXwaeDXM/Of1jxYPb2WjI6kiJhkdjS4OzP/puk8y/h54GJE3Ay8FviriHjbiB+h/BRwIDPPAhkR08BLGN1V3e8BvpiZ75v7bDwYEa8e1e/A1m1xd5OZP3zpdkQ8Aby5sTA1RMR1zP5Z/9OZ+c2m8/SwH7gNuL/LktGRExHbmP1P+1cy8ytN51lOZs4PLiJiH3DPiJc2wNeBX4uIPwJeDryQ2TIfVcd4dnrkaeC5wHOai9PbWBV3gX4PuBL48NzUzonMfHuzkbraC9wSEQ/x7JLRUfZ+4GrgAxFxaa771sws4ou/EmTm5yPiDcC/MPtd2i9n5vmGY/XyIeBjEfE1ZlfBvD8zTzecaUljuRxQkko2VqtKJGk9sLglqTAWtyQVxuKWpMJY3JJUGItbkgpjcUtSYSxuSSrM/wP6w/IXUcsr3gAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo múltiple\n", "x1 = np.random.normal(0, 0.8, 1000)\n", "x2 = np.random.normal(-2, 1, 1000)\n", "x3 = np.random.normal(3, 2, 1000)\n", "\n", "kwargs = dict(histtype='stepfilled', alpha=0.3, density=True, bins=40)\n", "\n", "plt.hist(x1, **kwargs)\n", "plt.hist(x2, **kwargs)\n", "plt.hist(x3, **kwargs);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para hacer el cómputo del histograma sin dibujarlo (contar el nº de puntos por cajón), usamos la función `histogram()` de NumPy:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 6 141 453 349 51]\n" ] } ], "source": [ "# Ejemplo\n", "counts, bin_edges = np.histogram(data, bins=5)\n", "print(counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Histogramas de 2 dimensiones" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Igual que creamos los histogramas en 1D dividiendo valores en distintos cajones, podemos crear histogramas en 2D dividiendo los puntos en cajones de 2 dimensiones. En pyplot contamos con la función `hist2d()` para representar estos histogramas, y con `hexbin()` para usar hexágonos en vez de cuadros, así como otras opciones adicionales." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ejemplo:\n", "media = [0, 0]\n", "covarianza = [[1, 1], [1, 2]]\n", "x, y = np.random.multivariate_normal(media, covarianza, 10000).T\n", "\n", "plt.hist2d(x, y, bins=30, cmap='Blues')\n", "cb = plt.colorbar()\n", "cb.set_label('puntos por cajón')" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Mismo ejemplo con hexbin()\n", "plt.hexbin(x, y, gridsize=30, cmap='Blues')\n", "cb = plt.colorbar(label='puntos por cajón')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "También podemos hacer el cómputo de estos histogramas usando la función `histogram2d()` de NumPy. Si queremos pasar a más dimensiones usaremos `histogramdd()`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Personalización de estilo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Configuración" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos cambiar la configuración por defecto de Matplotlib usando la función `rc()` de pyplot, que modifica la configuración en tiempo de ejecución. Lo vemos con un ejemplo:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Histograma con la configuración por defecto\n", "x = np.random.randn(1000)\n", "plt.hist(x);" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAD0CAYAAABtjRZ7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAMv0lEQVR4nO3dYYyk9V3A8e/SgdtojkmdF2VMqiRqKk1Kk9IUDRIuatuciTlL9A0pUapIGiLFasDC4e9+yRGCKdhiRRvgpNEQmx5iKgbFiFBKqxCCicQm9Ygvr0Y3uYFevdPj1hcz603udm93n3l2n/ntfT+vZp5n9pn/Pzvz3WdnnnlmYXl5GUlSTRd1PQBJUnNGXJIKM+KSVJgRl6TCjLgkFWbEJamw3nbf4dGjR1s7prHf7zMajdraXKecy/zZKfMA5zKPNjOP4XC4sNa60nvivd62/w3aMs5l/uyUeYBzmUdtzaN0xCXpQmfEJakwIy5JhRlxSSrMiEtSYUZckgoz4pJUmBGXpMJ2xlHz2lEWDxzo5H5PdHS/0izcE5ekwoy4JBVmxCWpMCMuSYUZcUkqzIhLUmFGXJIKM+KSVJgRl6TCjLgkFWbEJakwIy5JhRlxSSrMiEtSYZ6KVpo4+xS4x4HFbbhfT4GrWbgnLkmFGXFJKsyIS1JhRlySCjPiklSYEZekwoy4JBVmxCWpMCMuSYUZcUkqzIhLUmFGXJIKM+KSVNh5z2KYmRcDh4DLgV3AQeBfgceBZeB14NaIOJ2ZNwO3AKeAgxHx9NYNW5IE6++JfxxYiohrgb3AF4AHgf2TZQvAvsy8DLgNuAb4KHBfZu7aumFLkmD984l/BTg8df0UcBXwwuT6M8BHgLeBlyLiJHAyM48AVwKvtDtcSdK080Y8Ir4LkJm7Gcd8P/DZiFie3OQtoA9cCoymfnRl+Tn6/T69XjvfRdHr9RgMBq1sq2vO5YzjLY6lgu34vfv4mj9tzWPdmmbmu4GngIcj4onM/L2p1buBY8Cbk8tnLz/HaDRabXEjg8GApaWl1rbXJedyxnZ8m8482Y7fu4+v+bOZeQyHwzXXnfc18cx8F/AscGdEHJosfi0z90wu7wVeBF4Grs3MxczsA1cwftNTkrSF1tsTvwt4J3BPZt4zWfYp4KHMvAT4FnA4It7OzIcYB/0i4O6IOLFVg5Ykja33mvinGEf7bNetcttHgEdaGpckaQP8sI8kFWbEJakwIy5JhRlxSSrMiEtSYUZckgoz4pJUmBGXpMKMuCQVZsQlqTAjLkmFGXFJKsyIS1JhRlySCjPiklSYEZekwoy4JBVmxCWpMCMuSYUZcUkqzIhLUmFGXJIKM+KSVJgRl6TCel0PQLrQLR44sOX3cRxYXGX5iW24b20t98QlqTAjLkmFGXFJKsyIS1JhRlySCjPiklSYEZekwoy4JBVmxCWpMCMuSYUZcUkqbEPnTsnMq4H7I2JPZn4A+Cvg3yar/ygivpyZNwO3AKeAgxHx9JaMWJL0/9aNeGbeAdzI+Bw6AB8AHoyIB6ZucxlwG/BBxufZ+Xpm/l1EnGx/yJKkFRvZE38DuB7408n1q4D3ZOY+xnvjtwMfAl6aRPtkZh4BrgReaX/IkqQV60Y8Ip7MzMunFr0MPBoRr2bm3UAA/wyMpm7zFtBfbXv9fp9er50z4PZ6PQaDQSvb6ppzOeP4+jdRSyo+5nbKc6WteTSp6VMRcWzlMvAHwNeA3VO32Q0cO/sHAUaj0WqLGxkMBiwtLbW2vS45lzNWO++1tkbFx9xOea5sZh7D4XDNdU0i/reZ+RsR8TLwM8CrjPfO783MRWAXcAXweoNta07M8kUFa30BgaT2NTnE8JPA5zLzeeAaxkeifAd4CHgReA64OyJOtDZKSdKqFpaXl7f1Do8ePdraHe6Uf6tg/uayHV8Zpu5V/Hq2eXuuNLXJl1MW1lrnh30kqTAjLkmFGXFJKsyIS1JhRlySCjPiklSYEZekwoy4JBVmxCWpMCMuSYUZcUkqzIhLUmFGXJIKM+KSVJgRl6TCjLgkFWbEJakwIy5JhRlxSSrMiEtSYUZckgoz4pJUmBGXpMKMuCQVZsQlqTAjLkmFGXFJKsyIS1JhRlySCjPiklSYEZekwoy4JBVmxCWpMCMuSYUZcUkqrLeRG2Xm1cD9EbEnM38UeBxYBl4Hbo2I05l5M3ALcAo4GBFPb9GYJUkT6+6JZ+YdwKPA4mTRg8D+iLgWWAD2ZeZlwG3ANcBHgfsyc9fWDFmStGIjL6e8AVw/df0q4IXJ5WeAnwU+BLwUEScjYgQcAa5sc6CSpHOtG/GIeBL436lFCxGxPLn8FtAHLgVGU7dZWS5J2kIbek38LKenLu8GjgFvTi6fvfwc/X6fXq/J3Z6r1+sxGAxa2VbX5m0ux7segLbFPD3mNmrenitNtTWPJjV9LTP3RMTzwF7gH4CXgXszcxHYBVzB+E3Pc4xGo9UWNzIYDFhaWmpte12at7ksrn8T7QDz9JjbqHl7rjS1mXkMh8M11zU5xPC3gMzMbwKXAIcj4jvAQ8CLwHPA3RFxosG2JUmbsLC8vLz+rVp09OjR1u5wp/xFhvmby+KBA10PQdvgRMHf87w9V5ra5J74wlrr/LCPJBVmxCWpMCMuSYUZcUkqzIhLUmFGXJIKM+KSVJgRl6TC2jmJiaSSuvpQV8UPGc0r98QlqTAjLkmFGXFJKsyIS1JhRlySCjPiklSYEZekwoy4JBVmxCWpMCMuSYUZcUkqzIhLUmFGXJIKM+KSVJgRl6TCPJ/4nOvqfM+SanBPXJIKM+KSVJgRl6TCjLgkFWbEJakwIy5JhRlxSSrMiEtSYUZckgoz4pJUmBGXpMIanzslM18DRpOr/w7cCzwOLAOvA7dGxOlZByhJWlujiGfmIkBE7Jla9lVgf0Q8n5l/DOwDnmpjkJKk1TXdE38/8H2Z+exkG3cBVwEvTNY/A3wEIy5JW6ppxL8HfBZ4FPgxxtFeiIjlyfq3gP5qP9jv9+n12jkDbq/XYzAYtLKtrq01l+MdjEXaarM8b3fK876teTSt6beBI5Nofzszlxjvia/YDRxb7QdHo9FqixsZDAYsLS21tr0urTWXxQ7GIm21WZ63O+V5v5l5DIfDNdc1PTrlE8ADAJn5g8ClwLOZuWeyfi/wYsNtS5I2qOme+GPA45n5dcZHo3wC+C/gkcy8BPgWcLidIUqS1tIo4hHxP8ANq6y6brbhSJI2ww/7SFJhRlySCjPiklSYEZekwoy4JBXWzkcnJWkTFg8caPyzx5ntQ3AnZrjveeSeuCQVZsQlqTAjLkmFGXFJKsyIS1JhRlySCjPiklSYEZekwoy4JBVmxCWpMCMuSYUZcUkqzBNgbcAsJ+vZqFlP6iPpwuSeuCQVZsQlqTAjLkmFGXFJKsyIS1JhRlySCjPiklSYEZekwoy4JBVmxCWpMCMuSYUZcUkqzIhLUmGexVDSBWU7zkq6mhNbdL/uiUtSYaX2xM/+C+o5uCVd6NwTl6TCWt0Tz8yLgIeB9wMngV+LiCNt3ock6Yy298R/AViMiJ8Efgd4oOXtS5KmtB3xnwL+BiAi/hH4YMvblyRNafuNzUuB0dT1tzOzFxGnVhYMh8OFxlv/4hdnGJokzZfhcDjzNtreE38T2D29/emAS5La1XbEXwJ+DiAzfwL4l5a3L0ma0vbLKU8BH87MbwALwE0tb1+SNGVheXm56zE0lpnfDzwB/ADjz/7cGBH/2e2omsnMPvBnjN9XuAT4dER8s9tRNZeZHwN+KSJu6Hosm7XTDpXNzKuB+yNiT9djaSozLwYOAZcDu4CDEfHVTgfVUGa+A3gEeA/wNnBTRLzRdHvVP+xzM/BqRFwL/Dmwv+PxzOLTwN9HxHXArwB/2O1wmsvMzwP3UffxtWMOlc3MO4BHqf/h5o8DS5Pn+l7gCx2PZxY/DxAR1wC/Czw4y8aqPskAiIjPAfdOrv4Q8B8dDmdWvw+sHH7TA050OJZZfQP4ZNeDmMFOOlT2DeD6rgfRgq8A90xdL3vARET8JfDrk6s/zIzdKnPulMz8VeA3z1p8U0S8kpnPAe8DPrz9I9u8deZyGeOXVW7f/pFtznnm8eXM3NPBkNqy7qGyVUTEk5l5edfjmFVEfBcgM3cDh6n9XzcRcSozvwR8DPjFWbZVJuIR8Rjw2Brrfjozfxz4a+BHtnVgDaw1l8x8H+OXhX47Il7Y9oFt0vl+J8V5qOwcysx3Mz544uGIeKLr8cwqIn45M+8E/ikz3xsRx5tsp/TLKZn5mcy8cXL1OOM3CUrKzPcy/pfxhoh4puvxXOA8VHbOZOa7gGeBOyPiUNfjmUVm3piZn5lc/R5wmhnaVWZPfA2HgC9N/q1/B7UPabyP8ZtPn89MgFFE7Ot2SBcsD5WdP3cB7wTuycyV18b3RsR/dzimpv4C+JPM/BpwMXB7RDR+D6z0IYaSdKEr/XKKJF3ojLgkFWbEJakwIy5JhRlxSSrMiEtSYUZckgoz4pJU2P8BMAfo1KVM7GMAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "# Pasos previos\n", "IPython_default = plt.rcParams.copy() # copia del diccionario rcParams, para poder resetear la configuración\n", "from matplotlib import cycler\n", "\n", "colors = cycler('color',\n", " ['#EE6666', '#3388BB', '#9988DD',\n", " '#EECC55', '#88BB44', '#FFBBBB'])\n", "\n", "# Config\n", "plt.rc('axes', facecolor='#E6E6E6', edgecolor='none',\n", " axisbelow=True, grid=True, prop_cycle=colors)\n", "plt.rc('grid', color='w', linestyle='solid')\n", "plt.rc('xtick', direction='out', color='gray')\n", "plt.rc('ytick', direction='out', color='gray')\n", "plt.rc('patch', edgecolor='#E6E6E6')\n", "plt.rc('lines', linewidth=2)\n", "\n", "# Histograma con la nueva configuración\n", "plt.hist(x);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hojas de estilo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para cambiar el aspecto de las gráficas es preferible usar las hojas de estilo. Por defecto tenemos varias incluidas dentro del módulo `style` de pyplot, pero también podemos crear las nuestras propias. Podemos ver todas las disponibles ejecutando el atributo `available`:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['bmh', 'classic', 'dark_background', 'fast', 'fivethirtyeight']" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt.style.available[:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Existen varias formas de cambiar la hoja de estilo:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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18Y6ODnV2dkqSZs2aJbfb7nIuXLigbdu26aWXXlJtba3T05nROFR26hkaGlJra6tWrVqlxYsXOz2dnHR2dqqjo0OSVFBQIJfLlVO7zLyc8m8efPBBtbW16fjx40omk2psbHR6Slk7dOiQ4vG49u/fL0ny+/3asGGDs5Oaoerr63XmzBm99tpr6UNl4ayOjg5dvXpV7e3t6QMYNm7cqIKCAodnlrn6+nq9++67am5uViKR0OrVq3Nah+lDDAFgprP7+gMAgIgDgGVEHAAMI+IAYBgRBwDDiDgAGEbEAcAwIg4Ahv0f4W2KAxX5Rn8AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Indefinidamente\n", "plt.style.use('seaborn-whitegrid')\n", "\n", "# Para una porción del código\n", "with plt.style.context('ggplot'):\n", " plt.hist(x);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mejora de las gráficas " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Anotaciones" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos escribir anotaciones dentro de las gráficas para añadir información o marcar puntos interesantes, y ayudar así a construir una historia." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo\n", "fig, ax = plt.subplots(facecolor='lightgray')\n", "ax.axis([0, 10, 0, 10])\n", "\n", "ax.text(1, 5, \". Data: (1, 5)\", transform=ax.transData) # por defecto: posición absoluta según la escala\n", "ax.text(0.5, 0.1, \". Axes: (0.5, 0.1)\", transform=ax.transAxes) # posición relativa a los ejes\n", "ax.text(0.2, 0.2, \". Figure: (0.2, 0.2)\", transform=fig.transFigure); # posición relativa al tamaño de la figura" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Más:\n", " * [Ejemplos de anotaciones](https://jakevdp.github.io/PythonDataScienceHandbook/04.09-text-and-annotation.html)\n", " * [Demo de anotaciones](https://matplotlib.org/examples/pylab_examples/annotation_demo2.html)\n", " \n", "### Marcas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos cambiar las escalas de los ejes, las unidades, y las marcas que se muestran (podemos incluso eliminarlas)." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo\n", "with plt.style.context('classic'):\n", " ax = plt.axes((0, 0, 0.48, 0.35), xscale='log', yscale='log')\n", " ax.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Más:\n", " * [Customizing ticks](https://jakevdp.github.io/PythonDataScienceHandbook/04.10-customizing-ticks.html)\n", " \n", "### Gráficas en 3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib incorpora el submódulo `mplot3d` que nos permite crear representaciones en 3D:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits import mplot3d\n", "\n", "fig = plt.figure()\n", "ax = plt.axes(projection='3d')" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo: puntos y líneas\n", "ax = plt.axes(projection='3d')\n", "\n", "# Data for a three-dimensional line\n", "zline = np.linspace(0, 15, 1000)\n", "xline = np.sin(zline)\n", "yline = np.cos(zline)\n", "ax.plot3D(xline, yline, zline, 'gray')\n", "\n", "# Data for three-dimensional scattered points\n", "zdata = 15 * np.random.random(100)\n", "xdata = np.sin(zdata) + 0.1 * np.random.randn(100)\n", "ydata = np.cos(zdata) + 0.1 * np.random.randn(100)\n", "ax.scatter3D(xdata, ydata, zdata, c=zdata, cmap='Greens');" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo: curvas de nivel\n", "def f(x, y):\n", " return np.sin(np.sqrt(x ** 2 + y ** 2))\n", "\n", "x = np.linspace(-6, 6, 30)\n", "y = np.linspace(-6, 6, 30)\n", "\n", "X, Y = np.meshgrid(x, y)\n", "Z = f(X, Y)\n", "\n", "fig = plt.figure()\n", "ax = plt.axes(projection='3d')\n", "ax.view_init(60, 35)\n", "ax.contour3D(X, Y, Z, 25, cmap='binary')\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z');" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo: superficie\n", "ax = plt.axes(projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n", " cmap='viridis', edgecolor='none')\n", "ax.set_title('surface');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Seaborn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Proporciona una API para Matplotlib que ofrece mejores estilos por defecto, define funciones de alto nivel para gráficas estadísticas comunes, y se integra con la funcionalidad de los DataFrames de Pandas.\n", "\n", "Podemos aplicar el estilo de Seaborn simplemente llamando a su método `set()` para obtener visualizaciones más agradables por defecto:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "sns.set()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Algunas de las funciones de alto nivel incluidas en Seaborn:\n", " * `kdeplot()` : dibuja la curva KDE (kernel density estimation) en lugar de un histograma (1D)\n", " * `distplot()` : dibuja la curva KDE y el histograma superpuestos (1 o 2D)\n", " * `jointplot()` : dibuja la distribución conjunta junto a las marginales (2D)\n", " * `pairplot()` : dibuja el equivalente a joinplot para más dimensiones o atributos (\"pairs plot\"), comparando 1 a 1 (+D)\n", " * `FacetGrid()` : dibuja histogramas por facetas (subconjuntos dentro de una dimensión)\n", " * `catplot()` : pinta la distribución de un parámetro dentro de los cajones definidos por otro parámetro, o pinta diagramas de barras con series temporales, etc.\n", " * `violinplot()` : compara distribuciones.\n", " * `regplot()` : ajusta una regresión lineal a los datos" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo de visualización de histogramas y curvas KDE\n", "import pandas as pd\n", "data = np.random.multivariate_normal([0, 0], [[5, 2], [2, 2]], size=2000)\n", "data = pd.DataFrame(data, columns=['x', 'y'])\n", "\n", "for col in 'xy':\n", " sns.distplot(data[col]);" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo de distribuciones conjuntas\n", "with sns.axes_style('white'):\n", " sns.jointplot(\"x\", \"y\", data, kind='kde'); # kind=hex para cambiar a estilo hexagonal, =reg para regresión" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo de \"pairs plot\"\n", "iris = sns.load_dataset(\"iris\")\n", "sns.pairplot(iris, hue='species', height=2.5);" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo de histogramas facetados\n", "tips = sns.load_dataset('tips')\n", "tips['tip_pct'] = 100 * tips['tip'] / tips['total_bill']\n", "grid = sns.FacetGrid(tips, row=\"sex\", col=\"time\", margin_titles=True)\n", "grid.map(plt.hist, \"tip_pct\", bins=np.linspace(0, 40, 15));" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo de factor plots\n", "with sns.axes_style(style='ticks'):\n", " g = sns.catplot(\"day\", \"total_bill\", \"sex\", data=tips, kind=\"box\")\n", " g.set_axis_labels(\"Day\", \"Total Bill\");" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo de diagramas de barras para series temporales\n", "planets = sns.load_dataset('planets')\n", "with sns.axes_style('white'):\n", " g = sns.catplot(\"year\", data=planets, aspect=2,\n", " kind=\"count\", color='steelblue')\n", " g.set_xticklabels(step=5)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " g = sns.catplot(\"year\", data=planets, aspect=4.0, kind='count',\n", " hue='method', order=range(2001, 2015))\n", " g.set_ylabels('Number of Planets Discovered')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Más información y recursos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " * [Matplotlib Gallery](https://matplotlib.org/gallery.html)\n", " * [Seaborn Examples](https://seaborn.pydata.org/examples/index.html)\n", " * [Mapas geográficos con Basemap](https://jakevdp.github.io/PythonDataScienceHandbook/04.13-geographic-data-with-basemap.html)\n", " * [Bokeh](https://bokeh.pydata.org/en/latest/)\n", " * [Plotly](https://plot.ly/)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" }, "toc": { "base_numbering": "0", "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Mis notas: Matplotlib", "title_sidebar": "Contents", "toc_cell": true, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }