{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Numpy - Plotting with Matplotlib" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import addutils.toc ; addutils.toc.js(ipy_notebook=True)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from addutils import css_notebook\n", "css_notebook()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1 Simple 2D Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "matplotlib is probably the single most used Python package for 2D-graphics. It provides both a very quick way to visualize data from Python and publication-quality figures in many formats. We are going to explore matplotlib in interactive mode covering most common cases.\n", "\n", "In this section, we want to draw the cosine and sine functions on the same plot. Starting from the default settings, we’ll enrich the figure step by step to make it nicer." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Documentation and reference:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* [matplotlib documentation](http://matplotlib.org/contents.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First step is to get the data for the sine and cosine functions:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "\n", "x = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "c, s = np.cos(x), np.sin(x)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, c)\n", "plt.plot(x, s)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the script below, we’ve instantiated all the figure settings that influence the appearance of the plot. The settings have been explicitly set to their default values: try playing with the values to explore their effect (see Line properties and Line styles below)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure of size 8x6 points, 80 dots per inch\n", "plt.figure(figsize=(8, 6), dpi=80)\n", "# Create a new subplot from a grid of 1x1\n", "plt.subplot(111)\n", "# Plot cosine with a blue continuous line of width 1 (pixels)\n", "plt.plot(x, c, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n", "# Plot sine with a green continuous line of width 1 (pixels)\n", "plt.plot(x, s, color=\"green\", linewidth=1.0, linestyle=\"-\")\n", "# Set x limits\n", "plt.xlim(-4.0, 4.0)\n", "# Set x ticks\n", "plt.xticks(np.linspace(-4, 4, 9, endpoint=True))\n", "# Set y limits\n", "plt.ylim(-1.0, 1.0)\n", "# Set y ticks\n", "plt.yticks(np.linspace(-1, 1, 5, endpoint=True))\n", "# Save figure using 72 dots per inch\n", "plt.savefig('temp/test_plot_01.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Changing colors and line widths:** we want to have the cosine in blue and the sine in red and a slighty thicker line for both of them. We’ll also slightly alter the figure size to make it more horizontal." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 4), dpi=80)\n", "plt.plot(x, c, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n", "plt.plot(x, s, color=\"red\", linewidth=2.5, linestyle=\"-\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Setting tick labels:** When we set tick values, we can also provide a corresponding label in the second argument list. Note that we’ll use latex to allow for nice rendering of the label." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 4), dpi=80)\n", "plt.plot(x, c, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n", "plt.plot(x, s, color=\"red\", linewidth=2.5, linestyle=\"-\")\n", "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n", " [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n", "plt.yticks([-1, 0, +1],\n", " [r'$-1$', r'$0$', r'$+1$'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Taking Care of Details:**\n", "\n", "* **Spines** are the lines connecting the axis tick marks and noting the boundaries of the data area. They can be placed at arbitrary positions. We’ll change that since we want to have them in the middle. Since there are four of them (top/bottom/left/right), we’ll discard the top and right by setting their color to none and we’ll move the bottom and left ones to coordinate 0 in data space coordinates.\n", "* **Legend:** let’s add a legend in the upper left corner. This only requires adding the keyword argument label (that will be used in the legend box) to the plot commands.\n", "* **Annotations:** let’s annotate some interesting points using the annotate command. We chose the 2π/3 value and we want to annotate both the sine and the cosine. We’ll first draw a marker on the curve as well as a straight dotted line. Then, we’ll use the annotate command to display some text with an arrow.\n", "* **Tick Labels:** the tick labels are now hardly visible because of the blue and red lines. We can make them bigger and we can also adjust their properties such that they’ll be rendered on a semi-transparent white background. This will allow us to see both the data and the labels." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16, 6), dpi=80)\n", "plt.plot(x, c, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n", "plt.plot(x, s, color=\"red\", linewidth=2.5, linestyle=\"-\")\n", "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n", " [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n", "plt.yticks([-1, 0, +1],\n", " [r'$-1$', r'$0$', r'$+1$'])\n", "# Spines:\n", "ax = plt.gca() # gca stands for 'get current axis'\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.spines['bottom'].set_position(('data',0))\n", "ax.yaxis.set_ticks_position('left')\n", "ax.spines['left'].set_position(('data',0))\n", "# Legend:\n", "plt.plot(x, c, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n", "plt.plot(x, c, color=\"red\", linewidth=2.5, linestyle=\"-\", label=\"sine\")\n", "plt.legend(loc='upper left')\n", "# Annotations:\n", "t = 2*np.pi/3\n", "plt.plot([t, t], [0, np.cos(t)], color='blue', linewidth=2.5, linestyle=\"--\")\n", "plt.scatter([t, ], [np.cos(t), ], 50, color='blue')\n", "plt.annotate(r'$sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n", " xy=(t, np.sin(t)), xycoords='data',\n", " xytext=(+10, +30), textcoords='offset points', fontsize=16,\n", " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n", "plt.plot([t, t],[0, np.sin(t)], color='red', linewidth=2.5, linestyle=\"--\")\n", "plt.scatter([t, ],[np.sin(t), ], 50, color='red')\n", "plt.annotate(r'$cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$',\n", " xy=(t, np.cos(t)), xycoords='data',\n", " xytext=(-90, -50), textcoords='offset points', fontsize=16,\n", " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n", "# Tick Labels:\n", "for label in ax.get_xticklabels() + ax.get_yticklabels():\n", " label.set_fontsize(16)\n", " label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2 Subplots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With subplot you can arrange plots in a regular grid. You need to specify the number of rows and columns and the number of the plot. Note that the gridspec command is a more powerful alternative." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.gridspec as gridspec\n", "\n", "plt.figure(figsize=(12, 6))\n", "G = gridspec.GridSpec(3, 3)\n", "\n", "axes_1 = plt.subplot(G[0, :])\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'Axes 1', ha='center', va='center', size=24, alpha=.5)\n", "\n", "axes_2 = plt.subplot(G[1, :-1])\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'Axes 2', ha='center', va='center', size=24, alpha=.5)\n", "\n", "axes_3 = plt.subplot(G[1:, -1])\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'Axes 3', ha='center', va='center', size=24, alpha=.5)\n", "\n", "axes_4 = plt.subplot(G[-1, 0])\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'Axes 4', ha='center', va='center', size=24, alpha=.5)\n", "\n", "axes_5 = plt.subplot(G[-1, -2])\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(0.5, 0.5, 'Axes 5', ha='center', va='center', size=24, alpha=.5)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3 Axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Axes are very similar to subplots but allow placement of plots at any location in the figure. So if we want to put a smaller plot inside a bigger one we do so with axes." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.axes([.1, .1, .8, .8])\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(.6, .6, 'axes([0.1,0.1,.8,.8])', ha='center', va='center',\n", " size=20, alpha=.5)\n", "\n", "plt.axes([.2, .2, .3, .3])\n", "plt.xticks(())\n", "plt.yticks(())\n", "plt.text(.5, .5, 'axes([0.2,0.2,.3,.3])', ha='center', va='center',\n", " size=10, alpha=.5)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4 Example: Cycle Trough many colors" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0. , 0.05263158, 0.10526316, 0.15789474, 0.21052632,\n", " 0.26315789, 0.31578947, 0.36842105, 0.42105263, 0.47368421,\n", " 0.52631579, 0.57894737, 0.63157895, 0.68421053, 0.73684211,\n", " 0.78947368, 0.84210526, 0.89473684, 0.94736842, 1. ])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.linspace(0,1,20)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from itertools import cycle\n", "\n", "colors = cycle('rgbcmyk')\n", "x = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "for i, c in zip(np.linspace(0,0.8,20), colors):\n", " plt.plot(np.cos(x+i)-i, c)\n", "\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5 Example: Filled Plots" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 256\n", "X = np.linspace(-np.pi, np.pi, n, endpoint=True)\n", "Y = np.sin(2 * X)\n", "\n", "plt.axes([0.025, 0.025, 0.95, 0.95])\n", "\n", "plt.plot(X, Y + 1, color='blue', alpha=1.00)\n", "plt.fill_between(X, 1, Y + 1, color='blue', alpha=.25)\n", "\n", "plt.plot(X, Y - 1, color='blue', alpha=1.00)\n", "plt.fill_between(X, -1, Y - 1, (Y - 1) > -1, color='blue', alpha=.25)\n", "plt.fill_between(X, -1, Y - 1, (Y - 1) < -1, color='red', alpha=.25)\n", "\n", "plt.xlim(-np.pi, np.pi)\n", "plt.xticks(())\n", "plt.ylim(-2.5, 2.5)\n", "plt.yticks(())\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6 Example: Custom Scatter Plot" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 1000\n", "X = np.random.normal(0, 1, n)\n", "Y = np.random.normal(0, 1, n)\n", "T = np.arctan2(Y, X)\n", "\n", "plt.axes([0.025, 0.025, 0.95, 0.95])\n", "plt.scatter(X, Y, s=100, c=T, alpha=.5)\n", "\n", "plt.xlim(-1.5, 1.5)\n", "plt.xticks(())\n", "plt.ylim(-1.5, 1.5)\n", "plt.yticks(())\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7 Example: Custom Histogram" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 12\n", "X = np.arange(n)\n", "Y1 = (1 - X / float(n)) * np.random.uniform(0.5, 1.0, n)\n", "Y2 = (1 - X / float(n)) * np.random.uniform(0.5, 1.0, n)\n", "\n", "plt.axes([0.025, 0.025, 0.95, 0.95])\n", "plt.bar(X, +Y1, facecolor='#9999ff', edgecolor='white')\n", "plt.bar(X, -Y2, facecolor='#ff9999', edgecolor='white')\n", "\n", "for x, y in zip(X, Y1):\n", " plt.text(x + 0.4, y + 0.05, '{:.2f}'.format(y), ha='center', va= 'bottom')\n", "\n", "for x, y in zip(X, Y2):\n", " plt.text(x + 0.4, -y - 0.05, '{:.2f}'.format(y), ha='center', va= 'top')\n", "\n", "plt.xlim(-.5, n)\n", "plt.xticks(())\n", "plt.ylim(-1.25, 1.25)\n", "plt.yticks(())\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 8 Example: Simple 3D Plot - Surface" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "fig = plt.figure(figsize=(8, 6))\n", "ax = Axes3D(fig)\n", "X = np.arange(-4, 4, 0.25)\n", "Y = np.arange(-4, 4, 0.25)\n", "X, Y = np.meshgrid(X, Y)\n", "R = np.sqrt(X ** 2 + Y ** 2)\n", "Z = np.sin(R)\n", "\n", "ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.hot)\n", "ax.contourf(X, Y, Z, zdir='z', offset=-2, cmap=plt.cm.hot)\n", "ax.set_zlim(-2, 2)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 9 Example: Colormaps" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rc('text', usetex=False)\n", "a = np.outer(np.arange(0,1,0.01), np.ones(10))\n", "plt.figure(figsize=(15,6))\n", "plt.subplots_adjust(top=0.8,bottom=0.05,left=0.01,right=0.99)\n", "maps = [m for m in plt.cm.datad if not (m.endswith(\"_r\") or 'Vega' in m or 'spectral' in m)]\n", "maps.sort()\n", "lenght = len(maps)+1\n", "for i, m in enumerate(maps):\n", " plt.subplot(1,lenght,i+1)\n", " plt.axis(\"off\")\n", " plt.imshow(a, aspect='auto', cmap=plt.get_cmap(m), origin=\"lower\")\n", " plt.title(m,rotation=90,fontsize=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 10 Example: Skew and Kurtosis" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Author: Jake VanderPlas \n", "# License: BSD\n", "# The figure produced by this code is published in the textbook\n", "# \"Statistics, Data Mining, and Machine Learning in Astronomy\" (2013)\n", "# For more information, see http://astroML.github.com\n", "import numpy as np\n", "from scipy import stats\n", "from matplotlib import pyplot as plt\n", "\n", "fig = plt.figure(figsize=(15, 6))\n", "fig.subplots_adjust(right=0.95, hspace=0.05)\n", "\n", "# First show distributions with different skeq\n", "ax = fig.add_subplot(121)\n", "x = np.linspace(-8, 8, 1000)\n", "N = stats.norm(0, 1)\n", "\n", "l1, = ax.plot(x, N.pdf(x), '-k',\n", " label=r'${\\rm Gaussian,}\\ \\Sigma=0$')\n", "\n", "l2, = ax.plot(x, 0.5 * N.pdf(x) * (2 + x + 0.5 * (x * x - 1)),\n", " '--k', label=r'${\\rm mod.\\ Gauss,}\\ \\Sigma=-0.36$')\n", "l3, = ax.plot(x[499:], stats.lognorm(1.2).pdf(x[499:]), '-.k',\n", " label=r'$\\rm log\\ normal,\\ \\Sigma=11.2$')\n", "\n", "ax.set_xlim(-5, 5)\n", "ax.set_ylim(0, 0.7001)\n", "ax.set_ylabel('$p(x)$', fontsize=16)\n", "ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "\n", "# trick to show multiple legends\n", "leg1 = ax.legend([l1], [l1.get_label()], loc=1)\n", "leg2 = ax.legend([l2, l3], (l2.get_label(), l3.get_label()), loc=2)\n", "ax.add_artist(leg1)\n", "ax.set_title('Skew $\\Sigma$ and Kurtosis $K$')\n", "\n", "# next show distributions with different kurtosis\n", "ax = fig.add_subplot(122)\n", "x = np.linspace(-5, 5, 1000)\n", "l1, = ax.plot(x, stats.laplace(0, 1).pdf(x), '--k',\n", " label=r'${\\rm Laplace,}\\ K=+3$')\n", "l2, = ax.plot(x, stats.norm(0, 1).pdf(x), '-k',\n", " label=r'${\\rm Gaussian,}\\ K=0$')\n", "l3, = ax.plot(x, stats.cosine(0, 1).pdf(x), '-.k',\n", " label=r'${\\rm Cosine,}\\ K=-0.59$')\n", "l4, = ax.plot(x, stats.uniform(-2, 4).pdf(x), ':k',\n", " label=r'${\\rm Uniform,}\\ K=-1.2$')\n", "\n", "ax.set_xlim(-5, 5)\n", "ax.set_ylim(0, 0.6001)\n", "ax.set_xlabel('$x$', fontsize=16)\n", "ax.set_ylabel('$p(x)$', fontsize=16)\n", "\n", "# trick to show multiple legends\n", "leg1 = ax.legend((l1, l2), (l1.get_label(), l2.get_label()), loc=2)\n", "leg2 = ax.legend((l3, l4), (l3.get_label(), l4.get_label()), loc=1)\n", "ax.add_artist(leg1)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "Visit [www.add-for.com]() for more tutorials and updates.\n", "\n", "This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License." ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:addfor_tutorials]", "language": "python", "name": "conda-env-addfor_tutorials-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }