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1 | 1 | { |
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2 | 2 | "metadata": { |
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3 | 3 | "name": "00_notebook_tour" |
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4 | 4 | }, |
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5 | 5 | "nbformat": 2, |
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6 | 6 | "worksheets": [ |
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7 | 7 | { |
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8 | 8 | "cells": [ |
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9 | 9 | { |
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10 | 10 | "cell_type": "markdown", |
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11 | 11 | "source": [ |
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12 | 12 | "# A brief tour of the IPython notebook", |
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13 | 13 | "", |
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14 | 14 | "This document will give you a brief tour of the capabilities of the IPython notebook. ", |
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15 | 15 | "You can view its contents by scrolling around, or execute each cell by typing `Shift-Enter`.", |
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16 | 16 | "After you conclude this brief high-level tour, you should read the accompanying notebook ", |
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17 | 17 | "titled `01_notebook_introduction`, which takes a more step-by-step approach to the features of the", |
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18 | 18 | "system. ", |
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19 | 19 | "", |
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20 | 20 | "The rest of the notebooks in this directory illustrate various other aspects and ", |
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21 | 21 | "capabilities of the IPython notebook; some of them may require additional libraries to be executed.", |
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22 | 22 | "", |
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23 | 23 | "**NOTE:** This notebook *must* be run from its own directory, so you must ``cd``", |
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24 | 24 | "to this directory and then start the notebook, but do *not* use the ``--notebook-dir``", |
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25 | 25 | "option to run it from another location.", |
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26 | 26 | "", |
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27 | 27 | "The first thing you need to know is that you are still controlling the same old IPython you're used to,", |
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28 | 28 | "so things like shell aliases and magic commands still work:" |
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29 | 29 | ] |
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30 | 30 | }, |
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31 | 31 | { |
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32 | 32 | "cell_type": "code", |
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33 | 33 | "collapsed": false, |
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34 | 34 | "input": [ |
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35 | 35 | "pwd" |
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36 | 36 | ], |
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37 | 37 | "language": "python", |
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38 | 38 | "outputs": [ |
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39 | 39 | { |
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40 | 40 | "output_type": "pyout", |
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41 | 41 | "prompt_number": 1, |
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42 | 42 | "text": [ |
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43 |
"u |
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43 | "u'/home/fperez/ipython/ipython/docs/examples/notebooks'" | |
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44 | 44 | ] |
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45 | 45 | } |
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46 | 46 | ], |
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47 | 47 | "prompt_number": 1 |
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48 | 48 | }, |
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49 | 49 | { |
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50 | 50 | "cell_type": "code", |
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51 | 51 | "collapsed": false, |
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52 | 52 | "input": [ |
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53 | 53 | "ls" |
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54 | 54 | ], |
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55 | 55 | "language": "python", |
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56 | 56 | "outputs": [ |
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57 | 57 | { |
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58 | 58 | "output_type": "stream", |
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59 | 59 | "stream": "stdout", |
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60 | 60 | "text": [ |
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61 | 61 | "00_notebook_tour.ipynb python-logo.svg", |
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62 | 62 | "01_notebook_introduction.ipynb sympy.ipynb", |
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63 | 63 | "animation.m4v sympy_quantum_computing.ipynb", |
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64 | 64 | "display_protocol.ipynb trapezoid_rule.ipynb", |
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65 | 65 | "formatting.ipynb" |
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66 | 66 | ] |
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67 | 67 | } |
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68 | 68 | ], |
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69 | 69 | "prompt_number": 2 |
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70 | 70 | }, |
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71 | 71 | { |
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72 | 72 | "cell_type": "code", |
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73 | 73 | "collapsed": false, |
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74 | 74 | "input": [ |
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75 | 75 | "message = 'The IPython notebook is great!'", |
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76 | 76 | "# note: the echo command does not run on Windows, it's a unix command.", |
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77 | 77 | "!echo $message" |
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78 | 78 | ], |
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79 | 79 | "language": "python", |
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80 | 80 | "outputs": [ |
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81 | 81 | { |
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82 | 82 | "output_type": "stream", |
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83 | 83 | "stream": "stdout", |
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84 | 84 | "text": [ |
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85 | 85 | "The IPython notebook is great!" |
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86 | 86 | ] |
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87 | 87 | } |
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88 | 88 | ], |
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89 | 89 | "prompt_number": 3 |
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90 | 90 | }, |
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91 | 91 | { |
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92 | 92 | "cell_type": "markdown", |
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93 | 93 | "source": [ |
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94 | 94 | "Plots with matplotlib: do *not* execute the next below if you do not have matplotlib installed or didn't start up ", |
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95 | 95 | "this notebook with the `--pylab` option, as the code will not work." |
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96 | 96 | ] |
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97 | 97 | }, |
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98 | 98 | { |
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99 | 99 | "cell_type": "code", |
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100 | 100 | "collapsed": false, |
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101 | 101 | "input": [ |
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102 | 102 | "x = linspace(0, 3*pi, 500)", |
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103 | 103 | "plot(x, sin(x**2))", |
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104 | 104 | "title('A simple chirp');" |
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105 | 105 | ], |
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106 | 106 | "language": "python", |
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107 | 107 | "outputs": [ |
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108 | 108 | { |
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109 | 109 | "output_type": "display_data", |
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110 | 110 | "png": 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wZcoUR8LXhfffB6ZPd77BdCMKSp/X0wfUnmJFERTpOx0qYoUOT19lwTVeTz9q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\nAwODbgRD+gYGBgbdCIb0DQwMDLoR/j8U8QHdaUyIsAAAAABJRU5ErkJggg==\n" |
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111 | 111 | } |
|
|
112 | 112 | ], |
|
|
113 | 113 | "prompt_number": 4 |
|
|
114 | 114 | }, |
|
|
115 | 115 | { |
|
|
116 | 116 | "cell_type": "markdown", |
|
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117 | 117 | "source": [ |
|
|
118 | 118 | "You can paste blocks of input with prompt markers, such as those from", |
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119 | 119 | "[the official Python tutorial](http://docs.python.org/tutorial/interpreter.html#interactive-mode)" |
|
|
120 | 120 | ] |
|
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121 | 121 | }, |
|
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122 | 122 | { |
|
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123 | 123 | "cell_type": "code", |
|
|
124 | 124 | "collapsed": false, |
|
|
125 | 125 | "input": [ |
|
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126 | 126 | ">>> the_world_is_flat = 1", |
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127 | 127 | ">>> if the_world_is_flat:", |
|
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128 | 128 | "... print \"Be careful not to fall off!\"" |
|
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129 | 129 | ], |
|
|
130 | 130 | "language": "python", |
|
|
131 | 131 | "outputs": [ |
|
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132 | 132 | { |
|
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133 | 133 | "output_type": "stream", |
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134 | 134 | "stream": "stdout", |
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135 | 135 | "text": [ |
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136 | 136 | "Be careful not to fall off!" |
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137 | 137 | ] |
|
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138 | 138 | } |
|
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139 | 139 | ], |
|
|
140 | 140 | "prompt_number": 5 |
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141 | 141 | }, |
|
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142 | 142 | { |
|
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143 | 143 | "cell_type": "markdown", |
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144 | 144 | "source": [ |
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145 | 145 | "Errors are shown in informative ways:" |
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146 | 146 | ] |
|
|
147 | 147 | }, |
|
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148 | 148 | { |
|
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149 | 149 | "cell_type": "code", |
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150 | 150 | "collapsed": false, |
|
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151 | 151 | "input": [ |
|
|
152 | 152 | "%run non_existent_file" |
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|
153 | 153 | ], |
|
|
154 | 154 | "language": "python", |
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155 | 155 | "outputs": [ |
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156 | 156 | { |
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157 | 157 | "output_type": "stream", |
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158 | 158 | "stream": "stderr", |
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159 | 159 | "text": [ |
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160 |
"ERROR: File |
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|
|
160 | "ERROR: File `non_existent_file.py` not found." | |
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161 | 161 | ] |
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162 | 162 | } |
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163 | 163 | ], |
|
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164 | 164 | "prompt_number": 6 |
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165 | 165 | }, |
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166 | 166 | { |
|
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167 | 167 | "cell_type": "code", |
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168 | 168 | "collapsed": false, |
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169 | 169 | "input": [ |
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|
170 | 170 | "x = 1", |
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|
171 | 171 | "y = 4", |
|
|
172 | 172 | "z = y/(1-x)" |
|
|
173 | 173 | ], |
|
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174 | 174 | "language": "python", |
|
|
175 | 175 | "outputs": [ |
|
|
176 | 176 | { |
|
|
177 | 177 | "ename": "ZeroDivisionError", |
|
|
178 | 178 | "evalue": "integer division or modulo by zero", |
|
|
179 | 179 | "output_type": "pyerr", |
|
|
180 | 180 | "traceback": [ |
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181 | "<span class=\"ansired\">---------------------------------------------------------------------------</span>\n<span class=\"ansired\">ZeroDivisionError</span> Traceback (most recent call last)", | |
|
|
182 | "<span class=\"ansigreen\">/home/fperez/ipython/ipython/docs/examples/notebooks/<ipython-input-7-dc39888fd1d2></span> in <span class=\"ansicyan\"><module></span><span class=\"ansiblue\">()</span>\n<span class=\"ansigreen\"> 1</span> x <span class=\"ansiyellow\">=</span> <span class=\"ansicyan\">1</span><span class=\"ansiyellow\"></span>\n<span class=\"ansigreen\"> 2</span> y <span class=\"ansiyellow\">=</span> <span class=\"ansicyan\">4</span><span class=\"ansiyellow\"></span>\n<span class=\"ansigreen\">----> 3</span><span class=\"ansiyellow\"> </span>z <span class=\"ansiyellow\">=</span> y<span class=\"ansiyellow\">/</span><span class=\"ansiyellow\">(</span><span class=\"ansicyan\">1</span><span class=\"ansiyellow\">-</span>x<span class=\"ansiyellow\">)</span><span class=\"ansiyellow\"></span>\n", | |
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183 |
" |
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181 | "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mZeroDivisionError\u001b[0m Traceback (most recent call last)", | |
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|
182 | "\u001b[0;32m/home/fperez/ipython/ipython/docs/examples/notebooks/<ipython-input-7-dc39888fd1d2>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m4\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mz\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", | |
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183 | "\u001b[0;31mZeroDivisionError\u001b[0m: integer division or modulo by zero" | |
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184 | 184 | ] |
|
|
185 | 185 | } |
|
|
186 | 186 | ], |
|
|
187 | 187 | "prompt_number": 7 |
|
|
188 | 188 | }, |
|
|
189 | 189 | { |
|
|
190 | 190 | "cell_type": "markdown", |
|
|
191 | 191 | "source": [ |
|
|
192 | 192 | "When IPython needs to display additional information (such as providing details on an object via `x?`", |
|
|
193 | 193 | "it will automatically invoke a pager at the bottom of the screen:" |
|
|
194 | 194 | ] |
|
|
195 | 195 | }, |
|
|
196 | 196 | { |
|
|
197 | 197 | "cell_type": "code", |
|
|
198 | 198 | "collapsed": true, |
|
|
199 | 199 | "input": [ |
|
|
200 | 200 | "magic" |
|
|
201 | 201 | ], |
|
|
202 | 202 | "language": "python", |
|
|
203 | 203 | "outputs": [], |
|
|
204 | 204 | "prompt_number": 8 |
|
|
205 | 205 | }, |
|
|
206 | 206 | { |
|
|
207 | 207 | "cell_type": "markdown", |
|
|
208 | 208 | "source": [ |
|
|
209 | 209 | "## Non-blocking output of kernel", |
|
|
210 | 210 | "", |
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211 | 211 | "If you execute the next cell, you will see the output arriving as it is generated, not all at the end." |
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212 | 212 | ] |
|
|
213 | 213 | }, |
|
|
214 | 214 | { |
|
|
215 | 215 | "cell_type": "code", |
|
|
216 | 216 | "collapsed": false, |
|
|
217 | 217 | "input": [ |
|
|
218 | 218 | "import time, sys", |
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|
219 | 219 | "for i in range(8):", |
|
|
220 | 220 | " print i,", |
|
|
221 | 221 | " time.sleep(0.5)" |
|
|
222 | 222 | ], |
|
|
223 | 223 | "language": "python", |
|
|
224 | 224 | "outputs": [ |
|
|
225 | 225 | { |
|
|
226 | 226 | "output_type": "stream", |
|
|
227 | 227 | "stream": "stdout", |
|
|
228 | 228 | "text": [ |
|
|
229 | 229 | "0 " |
|
|
230 | 230 | ] |
|
|
231 | 231 | }, |
|
|
232 | 232 | { |
|
|
233 | 233 | "output_type": "stream", |
|
|
234 | 234 | "stream": "stdout", |
|
|
235 | 235 | "text": [ |
|
|
236 | 236 | "1 " |
|
|
237 | 237 | ] |
|
|
238 | 238 | }, |
|
|
239 | 239 | { |
|
|
240 | 240 | "output_type": "stream", |
|
|
241 | 241 | "stream": "stdout", |
|
|
242 | 242 | "text": [ |
|
|
243 | 243 | "2 " |
|
|
244 | 244 | ] |
|
|
245 | 245 | }, |
|
|
246 | 246 | { |
|
|
247 | 247 | "output_type": "stream", |
|
|
248 | 248 | "stream": "stdout", |
|
|
249 | 249 | "text": [ |
|
|
250 | 250 | "3 " |
|
|
251 | 251 | ] |
|
|
252 | 252 | }, |
|
|
253 | 253 | { |
|
|
254 | 254 | "output_type": "stream", |
|
|
255 | 255 | "stream": "stdout", |
|
|
256 | 256 | "text": [ |
|
|
257 | 257 | "4 " |
|
|
258 | 258 | ] |
|
|
259 | 259 | }, |
|
|
260 | 260 | { |
|
|
261 | 261 | "output_type": "stream", |
|
|
262 | 262 | "stream": "stdout", |
|
|
263 | 263 | "text": [ |
|
|
264 | 264 | "5 " |
|
|
265 | 265 | ] |
|
|
266 | 266 | }, |
|
|
267 | 267 | { |
|
|
268 | 268 | "output_type": "stream", |
|
|
269 | 269 | "stream": "stdout", |
|
|
270 | 270 | "text": [ |
|
|
271 | 271 | "6 " |
|
|
272 | 272 | ] |
|
|
273 | 273 | }, |
|
|
274 | 274 | { |
|
|
275 | 275 | "output_type": "stream", |
|
|
276 | 276 | "stream": "stdout", |
|
|
277 | 277 | "text": [ |
|
|
278 | 278 | "7" |
|
|
279 | 279 | ] |
|
|
280 | 280 | } |
|
|
281 | 281 | ], |
|
|
282 | 282 | "prompt_number": 9 |
|
|
283 | 283 | }, |
|
|
284 | 284 | { |
|
|
285 | 285 | "cell_type": "markdown", |
|
|
286 | 286 | "source": [ |
|
|
287 | 287 | "## Clean crash and restart", |
|
|
288 | 288 | "", |
|
|
289 | 289 | "We call the low-level system libc.time routine with the wrong argument via", |
|
|
290 | 290 | "ctypes to segfault the Python interpreter:" |
|
|
291 | 291 | ] |
|
|
292 | 292 | }, |
|
|
293 | 293 | { |
|
|
294 | 294 | "cell_type": "code", |
|
|
295 | 295 | "collapsed": true, |
|
|
296 | 296 | "input": [ |
|
|
297 | 297 | "from ctypes import CDLL", |
|
|
298 | 298 | "# This will crash a linux system; equivalent calls can be made on Windows or Mac", |
|
|
299 | 299 | "libc = CDLL(\"libc.so.6\") ", |
|
|
300 | 300 | "libc.time(-1) # BOOM!!" |
|
|
301 | 301 | ], |
|
|
302 | 302 | "language": "python", |
|
|
303 | 303 | "outputs": [], |
|
|
304 | 304 | "prompt_number": "*" |
|
|
305 | 305 | }, |
|
|
306 | 306 | { |
|
|
307 | 307 | "cell_type": "markdown", |
|
|
308 | 308 | "source": [ |
|
|
309 | 309 | "## Markdown cells can contain formatted text and code", |
|
|
310 | 310 | "", |
|
|
311 | 311 | "You can *italicize*, **boldface**", |
|
|
312 | 312 | "", |
|
|
313 | 313 | "* build", |
|
|
314 | 314 | "* lists", |
|
|
315 | 315 | "", |
|
|
316 | 316 | "and embed code meant for illustration instead of execution in Python:", |
|
|
317 | 317 | "", |
|
|
318 | 318 | " def f(x):", |
|
|
319 | 319 | " \"\"\"a docstring\"\"\"", |
|
|
320 | 320 | " return x**2", |
|
|
321 | 321 | "", |
|
|
322 | 322 | "or other languages:", |
|
|
323 | 323 | "", |
|
|
324 | 324 | " if (i=0; i<n; i++) {", |
|
|
325 | 325 | " printf(\"hello %d\\n\", i);", |
|
|
326 | 326 | " x += 4;", |
|
|
327 | 327 | " }" |
|
|
328 | 328 | ] |
|
|
329 | 329 | }, |
|
|
330 | 330 | { |
|
|
331 | 331 | "cell_type": "markdown", |
|
|
332 | 332 | "source": [ |
|
|
333 | 333 | "Courtesy of MathJax, you can include mathematical expressions both inline: ", |
|
|
334 | 334 | "$e^{i\\pi} + 1 = 0$ and displayed:", |
|
|
335 | 335 | "", |
|
|
336 | 336 | "$$e^x=\\sum_{i=0}^\\infty \\frac{1}{i!}x^i$$" |
|
|
337 | 337 | ] |
|
|
338 | 338 | }, |
|
|
339 | 339 | { |
|
|
340 | 340 | "cell_type": "markdown", |
|
|
341 | 341 | "source": [ |
|
|
342 | 342 | "## Rich displays: include anyting a browser can show", |
|
|
343 | 343 | "", |
|
|
344 | 344 | "Note that we have an actual protocol for this, see the `display_protocol` notebook for further details.", |
|
|
345 | 345 | "", |
|
|
346 | 346 | "### Images" |
|
|
347 | 347 | ] |
|
|
348 | 348 | }, |
|
|
349 | 349 | { |
|
|
350 | 350 | "cell_type": "code", |
|
|
351 | 351 | "collapsed": false, |
|
|
352 | 352 | "input": [ |
|
|
353 | 353 | "from IPython.core.display import Image", |
|
|
354 | 354 | "Image(filename='../../source/_static/logo.png')" |
|
|
355 | 355 | ], |
|
|
356 | 356 | "language": "python", |
|
|
357 | 357 | "outputs": [ |
|
|
358 | 358 | { |
|
|
359 | 359 | "output_type": "pyout", |
|
|
360 | 360 | "png": 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361 | 361 | "prompt_number": 1, |
|
|
362 | 362 | "text": [ |
|
|
363 | 363 | "<IPython.core.display.Image at 0x41d4690>" |
|
|
364 | 364 | ] |
|
|
365 | 365 | } |
|
|
366 | 366 | ], |
|
|
367 | 367 | "prompt_number": 1 |
|
|
368 | 368 | }, |
|
|
369 | 369 | { |
|
|
370 | 370 | "cell_type": "markdown", |
|
|
371 | 371 | "source": [ |
|
|
372 | 372 | "An image can also be displayed from raw data or a url" |
|
|
373 | 373 | ] |
|
|
374 | 374 | }, |
|
|
375 | 375 | { |
|
|
376 | 376 | "cell_type": "code", |
|
|
377 | 377 | "collapsed": false, |
|
|
378 | 378 | "input": [ |
|
|
379 | 379 | "Image('http://python.org/images/python-logo.gif')" |
|
|
380 | 380 | ], |
|
|
381 | 381 | "language": "python", |
|
|
382 | 382 | "outputs": [ |
|
|
383 | 383 | { |
|
|
384 | 384 | "html": [ |
|
|
385 | 385 | "<img src=\"http://python.org/images/python-logo.gif\" />" |
|
|
386 | 386 | ], |
|
|
387 | 387 | "output_type": "pyout", |
|
|
388 | 388 | "prompt_number": 2, |
|
|
389 | 389 | "text": [ |
|
|
390 | 390 | "<IPython.core.display.Image at 0x41d4550>" |
|
|
391 | 391 | ] |
|
|
392 | 392 | } |
|
|
393 | 393 | ], |
|
|
394 | 394 | "prompt_number": 2 |
|
|
395 | 395 | }, |
|
|
396 | 396 | { |
|
|
397 | 397 | "cell_type": "markdown", |
|
|
398 | 398 | "source": [ |
|
|
399 | 399 | "SVG images are also supported out of the box (since modern browsers do a good job of rendering them):" |
|
|
400 | 400 | ] |
|
|
401 | 401 | }, |
|
|
402 | 402 | { |
|
|
403 | 403 | "cell_type": "code", |
|
|
404 | 404 | "collapsed": false, |
|
|
405 | 405 | "input": [ |
|
|
406 | 406 | "from IPython.core.display import SVG", |
|
|
407 | 407 | "SVG(filename='python-logo.svg')" |
|
|
408 | 408 | ], |
|
|
409 | 409 | "language": "python", |
|
|
410 | 410 | "outputs": [ |
|
|
411 | 411 | { |
|
|
412 | 412 | "output_type": "pyout", |
|
|
413 | 413 | "prompt_number": 3, |
|
|
414 | 414 | "svg": [ |
|
|
415 | 415 | "<svg height=\"115.02pt\" id=\"svg2\" inkscape:version=\"0.43\" sodipodi:docbase=\"/home/sdeibel\" sodipodi:docname=\"logo-python-generic.svg\" sodipodi:version=\"0.32\" version=\"1.0\" width=\"388.84pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:cc=\"http://web.resource.org/cc/\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:inkscape=\"http://www.inkscape.org/namespaces/inkscape\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\" xmlns:sodipodi=\"http://inkscape.sourceforge.net/DTD/sodipodi-0.dtd\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">", |
|
|
416 | 416 | " <metadata id=\"metadata2193\">", |
|
|
417 | 417 | " <rdf:RDF>", |
|
|
418 | 418 | " <cc:Work rdf:about=\"\">", |
|
|
419 | 419 | " <dc:format>image/svg+xml</dc:format>", |
|
|
420 | 420 | " <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>", |
|
|
421 | 421 | " </cc:Work>", |
|
|
422 | 422 | " </rdf:RDF>", |
|
|
423 | 423 | " </metadata>", |
|
|
424 | 424 | " <sodipodi:namedview bordercolor=\"#666666\" borderopacity=\"1.0\" id=\"base\" inkscape:current-layer=\"svg2\" inkscape:cx=\"243.02499\" inkscape:cy=\"71.887497\" inkscape:pageopacity=\"0.0\" inkscape:pageshadow=\"2\" inkscape:window-height=\"543\" inkscape:window-width=\"791\" inkscape:window-x=\"0\" inkscape:window-y=\"0\" inkscape:zoom=\"1.4340089\" pagecolor=\"#ffffff\"/>", |
|
|
425 | 425 | " <defs id=\"defs4\">", |
|
|
426 | 426 | " <linearGradient id=\"linearGradient2795\">", |
|
|
427 | 427 | " <stop id=\"stop2797\" offset=\"0\" style=\"stop-color:#b8b8b8;stop-opacity:0.49803922\"/>", |
|
|
428 | 428 | " <stop id=\"stop2799\" offset=\"1\" style=\"stop-color:#7f7f7f;stop-opacity:0\"/>", |
|
|
429 | 429 | " </linearGradient>", |
|
|
430 | 430 | " <linearGradient id=\"linearGradient2787\">", |
|
|
431 | 431 | " <stop id=\"stop2789\" offset=\"0\" style=\"stop-color:#7f7f7f;stop-opacity:0.5\"/>", |
|
|
432 | 432 | " <stop id=\"stop2791\" offset=\"1\" style=\"stop-color:#7f7f7f;stop-opacity:0\"/>", |
|
|
433 | 433 | " </linearGradient>", |
|
|
434 | 434 | " <linearGradient id=\"linearGradient3676\">", |
|
|
435 | 435 | " <stop id=\"stop3678\" offset=\"0\" style=\"stop-color:#b2b2b2;stop-opacity:0.5\"/>", |
|
|
436 | 436 | " <stop id=\"stop3680\" offset=\"1\" style=\"stop-color:#b3b3b3;stop-opacity:0\"/>", |
|
|
437 | 437 | " </linearGradient>", |
|
|
438 | 438 | " <linearGradient id=\"linearGradient3236\">", |
|
|
439 | 439 | " <stop id=\"stop3244\" offset=\"0\" style=\"stop-color:#f4f4f4;stop-opacity:1\"/>", |
|
|
440 | 440 | " <stop id=\"stop3240\" offset=\"1\" style=\"stop-color:#ffffff;stop-opacity:1\"/>", |
|
|
441 | 441 | " </linearGradient>", |
|
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442 | 442 | " <linearGradient id=\"linearGradient4671\">", |
|
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443 | 443 | " <stop id=\"stop4673\" offset=\"0\" style=\"stop-color:#ffd43b;stop-opacity:1\"/>", |
|
|
444 | 444 | " <stop id=\"stop4675\" offset=\"1\" style=\"stop-color:#ffe873;stop-opacity:1\"/>", |
|
|
445 | 445 | " </linearGradient>", |
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446 | 446 | " <linearGradient id=\"linearGradient4689\">", |
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447 | 447 | " <stop id=\"stop4691\" offset=\"0\" style=\"stop-color:#5a9fd4;stop-opacity:1\"/>", |
|
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448 | 448 | " <stop id=\"stop4693\" offset=\"1\" style=\"stop-color:#306998;stop-opacity:1\"/>", |
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449 | 449 | " </linearGradient>", |
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472 | 472 | " <path d=\"M 463.5544,26.909383 L 465.11635,26.909383 L 465.11635,17.113143 L 468.81648,17.113143 L 468.81648,15.945483 L 459.85427,15.945483 L 459.85427,17.113143 L 463.5544,17.113143 L 463.5544,26.909383 M 470.20142,26.909383 L 471.53589,26.909383 L 471.53589,17.962353 L 474.4323,26.908259 L 475.91799,26.908259 L 478.93615,17.992683 L 478.93615,26.909383 L 480.39194,26.909383 L 480.39194,15.945483 L 478.46605,15.945483 L 475.16774,25.33834 L 472.35477,15.945483 L 470.20142,15.945483 L 470.20142,26.909383\" id=\"text3004\" style=\"font-size:15.16445827px;font-style:normal;font-weight:normal;line-height:125%;fill:#646464;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans\"/>", |
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473 | 473 | " <path d=\"M 110.46717 132.28575 A 48.948284 8.6066771 0 1 1 12.570599,132.28575 A 48.948284 8.6066771 0 1 1 110.46717 132.28575 z\" id=\"path1894\" style=\"opacity:0.44382019;fill:url(#radialGradient1480);fill-opacity:1;fill-rule:nonzero;stroke:none;stroke-width:20;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1\" transform=\"matrix(0.73406,0,0,0.809524,16.24958,27.00935)\"/>", |
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474 | 474 | " </g>", |
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475 | 475 | "</svg>" |
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476 | 476 | ], |
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477 | 477 | "text": [ |
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478 | 478 | "<IPython.core.display.SVG at 0x41d4910>" |
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479 | 479 | ] |
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480 | 480 | } |
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481 | 481 | ], |
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482 | 482 | "prompt_number": 3 |
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483 | 483 | }, |
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484 | 484 | { |
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485 | 485 | "cell_type": "markdown", |
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486 | 486 | "source": [ |
|
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487 | 487 | "### Video" |
|
|
488 | 488 | ] |
|
|
489 | 489 | }, |
|
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490 | 490 | { |
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491 | 491 | "cell_type": "markdown", |
|
|
492 | 492 | "source": [ |
|
|
493 | 493 | "And more exotic objects can also be displayed, as long as their representation supports ", |
|
|
494 | 494 | "the IPython display protocol.", |
|
|
495 | 495 | "", |
|
|
496 | 496 | "For example, videos hosted externally on YouTube are easy to load (and writing a similar wrapper for other", |
|
|
497 | 497 | "hosted content is trivial):" |
|
|
498 | 498 | ] |
|
|
499 | 499 | }, |
|
|
500 | 500 | { |
|
|
501 | 501 | "cell_type": "code", |
|
|
502 | 502 | "collapsed": false, |
|
|
503 | 503 | "input": [ |
|
|
504 | 504 | "from IPython.lib.display import YouTubeVideo", |
|
|
505 | 505 | "# a talk about IPython at Sage Days at U. Washington, Seattle.", |
|
|
506 | 506 | "# Video credit: William Stein.", |
|
|
507 | 507 | "YouTubeVideo('1j_HxD4iLn8')" |
|
|
508 | 508 | ], |
|
|
509 | 509 | "language": "python", |
|
|
510 | 510 | "outputs": [ |
|
|
511 | 511 | { |
|
|
512 | 512 | "html": [ |
|
|
513 | 513 | "", |
|
|
514 | 514 | " <iframe", |
|
|
515 | 515 | " width=\"400\"", |
|
|
516 | 516 | " height=\"300\"", |
|
|
517 | 517 | " src=\"http://www.youtube.com/embed/1j_HxD4iLn8\"", |
|
|
518 | 518 | " frameborder=\"0\"", |
|
|
519 | 519 | " allowfullscreen", |
|
|
520 | 520 | " ></iframe>", |
|
|
521 | 521 | " " |
|
|
522 | 522 | ], |
|
|
523 | 523 | "output_type": "pyout", |
|
|
524 | 524 | "prompt_number": 4, |
|
|
525 | 525 | "text": [ |
|
|
526 | 526 | "<IPython.lib.display.YouTubeVideo at 0x41d4310>" |
|
|
527 | 527 | ] |
|
|
528 | 528 | } |
|
|
529 | 529 | ], |
|
|
530 | 530 | "prompt_number": 4 |
|
|
531 | 531 | }, |
|
|
532 | 532 | { |
|
|
533 | 533 | "cell_type": "markdown", |
|
|
534 | 534 | "source": [ |
|
|
535 | 535 | "Using the nascent video capabilities of modern browsers, you may also be able to display local", |
|
|
536 | 536 | "videos. At the moment this doesn't work very well in all browsers, so it may or may not work for you;", |
|
|
537 | 537 | "we will continue testing this and looking for ways to make it more robust. ", |
|
|
538 | 538 | "", |
|
|
539 | 539 | "The following cell loads a local file called `animation.m4v`, encodes the raw video as base64 for http", |
|
|
540 | 540 | "transport, and uses the HTML5 video tag to load it. On Chrome 15 it works correctly, displaying a control", |
|
|
541 | 541 | "bar at the bottom with a play/pause button and a location slider." |
|
|
542 | 542 | ] |
|
|
543 | 543 | }, |
|
|
544 | 544 | { |
|
|
545 | 545 | "cell_type": "code", |
|
|
546 | 546 | "collapsed": false, |
|
|
547 | 547 | "input": [ |
|
|
548 | 548 | "from IPython.core.display import HTML", |
|
|
549 | 549 | "video = open(\"animation.m4v\", \"rb\").read()", |
|
|
550 | 550 | "video_encoded = video.encode(\"base64\")", |
|
|
551 | 551 | "video_tag = '<video controls alt=\"test\" src=\"data:video/x-m4v;base64,{0}\">'.format(video_encoded)", |
|
|
552 | 552 | "HTML(data=video_tag)" |
|
|
553 | 553 | ], |
|
|
554 | 554 | "language": "python", |
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|
555 | 555 | "outputs": [ |
|
|
556 | 556 | { |
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557 | 557 | "html": [ |
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558 | 558 | "<video controls alt=\"test\" src=\"data:video/x-m4v;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAAAqiW1kYXQAAAKMBgX//4jcRem9", |
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761 | 761 | "AAABAAAAFAAAAAIAAAAcc3RzYwAAAAAAAAABAAAAAQAAAAEAAAABAAAAZHN0c3oAAAAAAAAAAAAA", |
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763 | 763 | "/QAAAUEAAAEaAAABKQAAAQAAAADlAAAAzQAAAGBzdGNvAAAAAAAAABQAAAAsAAANZQAAEA4AABJt", |
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764 | 764 | "AAAUgAAAFwsAABkqAAAbWQAAHOEAAB48AAAfdQAAINAAACIUAAAjegAAJHcAACW4AAAm0gAAJ/sA", |
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765 | 765 | "ACj7AAAp4AAAAGF1ZHRhAAAAWW1ldGEAAAAAAAAAIWhkbHIAAAAAAAAAAG1kaXJhcHBsAAAAAAAA", |
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766 | 766 | "AAAAAAAALGlsc3QAAAAkqXRvbwAAABxkYXRhAAAAAQAAAABMYXZmNTIuMTExLjA=", |
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767 | 767 | "\">" |
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768 | 768 | ], |
|
|
769 | 769 | "output_type": "pyout", |
|
|
770 | 770 | "prompt_number": 5, |
|
|
771 | 771 | "text": [ |
|
|
772 | 772 | "<IPython.core.display.HTML at 0x423a550>" |
|
|
773 | 773 | ] |
|
|
774 | 774 | } |
|
|
775 | 775 | ], |
|
|
776 | 776 | "prompt_number": 5 |
|
|
777 | 777 | }, |
|
|
778 | 778 | { |
|
|
779 | 779 | "cell_type": "markdown", |
|
|
780 | 780 | "source": [ |
|
|
781 | 781 | "### External sites", |
|
|
782 | 782 | "", |
|
|
783 | 783 | "You can even embed an entire page from another site in an iframe; for example this is today's Wikipedia", |
|
|
784 | 784 | "page for mobile users:" |
|
|
785 | 785 | ] |
|
|
786 | 786 | }, |
|
|
787 | 787 | { |
|
|
788 | 788 | "cell_type": "code", |
|
|
789 | 789 | "collapsed": false, |
|
|
790 | 790 | "input": [ |
|
|
791 | 791 | "HTML('<iframe src=http://en.mobile.wikipedia.org/?useformat=mobile width=700 height=350>')" |
|
|
792 | 792 | ], |
|
|
793 | 793 | "language": "python", |
|
|
794 | 794 | "outputs": [ |
|
|
795 | 795 | { |
|
|
796 | 796 | "html": [ |
|
|
797 | 797 | "<iframe src=http://en.mobile.wikipedia.org/?useformat=mobile width=700 height=350>" |
|
|
798 | 798 | ], |
|
|
799 | 799 | "output_type": "pyout", |
|
|
800 | 800 | "prompt_number": 6, |
|
|
801 | 801 | "text": [ |
|
|
802 | 802 | "<IPython.core.display.HTML at 0x41d4710>" |
|
|
803 | 803 | ] |
|
|
804 | 804 | } |
|
|
805 | 805 | ], |
|
|
806 | 806 | "prompt_number": 6 |
|
|
807 | 807 | }, |
|
|
808 | 808 | { |
|
|
809 | 809 | "cell_type": "markdown", |
|
|
810 | 810 | "source": [ |
|
|
811 | 811 | "### Mathematics", |
|
|
812 | 812 | "", |
|
|
813 | 813 | "And we also support the display of mathematical expressions typeset in LaTeX, which is rendered", |
|
|
814 | 814 | "in the browser thanks to the [MathJax library](http://mathjax.org). ", |
|
|
815 | 815 | "", |
|
|
816 | 816 | "Note that this is *different* from the above examples. Above we were typing mathematical expressions", |
|
|
817 | 817 | "in Markdown cells (along with normal text) and letting the browser render them; now we are displaying", |
|
|
818 | 818 | "the output of a Python computation as a LaTeX expression wrapped by the `Math()` object so the browser", |
|
|
819 | 819 | "renders it:" |
|
|
820 | 820 | ] |
|
|
821 | 821 | }, |
|
|
822 | 822 | { |
|
|
823 | 823 | "cell_type": "code", |
|
|
824 | 824 | "collapsed": false, |
|
|
825 | 825 | "input": [ |
|
|
826 | 826 | "from IPython.core.display import Math", |
|
|
827 | 827 | "Math(r'$F(k) = \\int_{-\\infty}^{\\infty} f(x) e^{2\\pi i k} dx$')" |
|
|
828 | 828 | ], |
|
|
829 | 829 | "language": "python", |
|
|
830 | 830 | "outputs": [ |
|
|
831 | 831 | { |
|
|
832 | 832 | "latex": [ |
|
|
833 | 833 | "$F(k) = \\int_{-\\infty}^{\\infty} f(x) e^{2\\pi i k} dx$" |
|
|
834 | 834 | ], |
|
|
835 | 835 | "output_type": "pyout", |
|
|
836 | 836 | "prompt_number": 8, |
|
|
837 | 837 | "text": [ |
|
|
838 | 838 | "<IPython.core.display.Math at 0x45840d0>" |
|
|
839 | 839 | ] |
|
|
840 | 840 | } |
|
|
841 | 841 | ], |
|
|
842 | 842 | "prompt_number": 8 |
|
|
843 | 843 | }, |
|
|
844 | 844 | { |
|
|
845 | 845 | "cell_type": "markdown", |
|
|
846 | 846 | "source": [ |
|
|
847 | 847 | "# Loading external codes", |
|
|
848 | 848 | "* Drag and drop a ``.py`` in the dashboard", |
|
|
849 | 849 | "* Use ``%loadpy`` with any local or remote url: [the Matplotlib Gallery!](http://matplotlib.sourceforge.net/gallery.html)", |
|
|
850 | 850 | "", |
|
|
851 | 851 | "In this notebook we've kept the output saved so you can see the result, but you should run the next", |
|
|
852 | 852 | "cell yourself (with an active internet connection)." |
|
|
853 | 853 | ] |
|
|
854 | 854 | }, |
|
|
855 | 855 | { |
|
|
856 | 856 | "cell_type": "code", |
|
|
857 | 857 | "collapsed": true, |
|
|
858 | 858 | "input": [ |
|
|
859 | 859 | "%loadpy http://matplotlib.sourceforge.net/mpl_examples/pylab_examples/integral_demo.py" |
|
|
860 | 860 | ], |
|
|
861 | 861 | "language": "python", |
|
|
862 | 862 | "outputs": [], |
|
|
863 | 863 | "prompt_number": 8 |
|
|
864 | 864 | }, |
|
|
865 | 865 | { |
|
|
866 | 866 | "cell_type": "code", |
|
|
867 | 867 | "collapsed": false, |
|
|
868 | 868 | "input": [ |
|
|
869 | 869 | "#!/usr/bin/env python", |
|
|
870 | 870 | "", |
|
|
871 | 871 | "# implement the example graphs/integral from pyx", |
|
|
872 | 872 | "from pylab import *", |
|
|
873 | 873 | "from matplotlib.patches import Polygon", |
|
|
874 | 874 | "", |
|
|
875 | 875 | "def func(x):", |
|
|
876 | 876 | " return (x-3)*(x-5)*(x-7)+85", |
|
|
877 | 877 | "", |
|
|
878 | 878 | "ax = subplot(111)", |
|
|
879 | 879 | "", |
|
|
880 | 880 | "a, b = 2, 9 # integral area", |
|
|
881 | 881 | "x = arange(0, 10, 0.01)", |
|
|
882 | 882 | "y = func(x)", |
|
|
883 | 883 | "plot(x, y, linewidth=1)", |
|
|
884 | 884 | "", |
|
|
885 | 885 | "# make the shaded region", |
|
|
886 | 886 | "ix = arange(a, b, 0.01)", |
|
|
887 | 887 | "iy = func(ix)", |
|
|
888 | 888 | "verts = [(a,0)] + zip(ix,iy) + [(b,0)]", |
|
|
889 | 889 | "poly = Polygon(verts, facecolor='0.8', edgecolor='k')", |
|
|
890 | 890 | "ax.add_patch(poly)", |
|
|
891 | 891 | "", |
|
|
892 | 892 | "text(0.5 * (a + b), 30,", |
|
|
893 | 893 | " r\"$\\int_a^b f(x)\\mathrm{d}x$\", horizontalalignment='center',", |
|
|
894 | 894 | " fontsize=20)", |
|
|
895 | 895 | "", |
|
|
896 | 896 | "axis([0,10, 0, 180])", |
|
|
897 | 897 | "figtext(0.9, 0.05, 'x')", |
|
|
898 | 898 | "figtext(0.1, 0.9, 'y')", |
|
|
899 | 899 | "ax.set_xticks((a,b))", |
|
|
900 | 900 | "ax.set_xticklabels(('a','b'))", |
|
|
901 | 901 | "ax.set_yticks([])", |
|
|
902 | 902 | "show()" |
|
|
903 | 903 | ], |
|
|
904 | 904 | "language": "python", |
|
|
905 | 905 | "outputs": [ |
|
|
906 | 906 | { |
|
|
907 | 907 | "output_type": "display_data", |
|
|
908 | 908 | "png": 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J/PxOExycR9OmxbRoYaN1aw9at/YlKiqAqKhg2rYNoXXrQHx8nPMRNj+/hJSUM+zZc4bU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\nSUVORK5CYII=\n" |
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909 | 909 | } |
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910 | 910 | ], |
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911 | 911 | "prompt_number": 9 |
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912 | 912 | }, |
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913 | 913 | { |
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914 | 914 | "cell_type": "code", |
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915 | 915 | "collapsed": true, |
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916 | 916 | "input": [], |
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917 | 917 | "language": "python", |
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918 |
"outputs": [] |
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919 | "prompt_number": " " | |
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918 | "outputs": [] | |
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920 | 919 | } |
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921 | 920 | ] |
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922 | 921 | } |
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923 | 922 | ] |
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924 | 923 | } No newline at end of file |
| @@ -1,421 +1,419 b'' | |||
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1 | 1 | { |
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2 | 2 | "metadata": { |
|
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3 | 3 | "name": "01_notebook_introduction" |
|
|
4 | 4 | }, |
|
|
5 | 5 | "nbformat": 2, |
|
|
6 | 6 | "worksheets": [ |
|
|
7 | 7 | { |
|
|
8 | 8 | "cells": [ |
|
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9 | 9 | { |
|
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10 | 10 | "cell_type": "markdown", |
|
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11 | 11 | "source": [ |
|
|
12 | 12 | "# An introduction to the IPython notebook", |
|
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13 | 13 | "", |
|
|
14 | 14 | "The IPython web notebook is a frontend that allows for new modes", |
|
|
15 | 15 | "of interaction with IPython: this web-based interface allows you to execute Python and IPython", |
|
|
16 | 16 | "commands in each input cell just like you would at the IPython terminal or Qt console, but you can", |
|
|
17 | 17 | "also save an entire session as a document in a file with the `.ipynb` extension.", |
|
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18 | 18 | "", |
|
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19 | 19 | "The document you are reading now is precisely an example of one such notebook, and we will show you", |
|
|
20 | 20 | "here how to best use this new interface.", |
|
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21 | 21 | "", |
|
|
22 | 22 | "The first thing to understand is that a notebook consists of a sequence of 'cells' that can contain ", |
|
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23 | 23 | "either text (such as this one) or code meant for execution (such as the next one):", |
|
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24 | 24 | "", |
|
|
25 | 25 | "* Text cells can be written using [Markdown syntax](http://daringfireball.net/projects/markdown/syntax) ", |
|
|
26 | 26 | "(in a future release we will also provide support for reStructuredText and Sphinx integration, and we ", |
|
|
27 | 27 | "welcome help from interested contributors to make that happen).", |
|
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28 | 28 | "", |
|
|
29 | 29 | "* Code cells take IPython input (i.e. Python code, `%magics`, `!system calls`, etc) like IPython at", |
|
|
30 | 30 | "the terminal or at the Qt Console. The only difference is that in order to execute a cell, you *must*", |
|
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31 | 31 | "use `Shift-Enter`, as pressing `Enter` will add a new line of text to the cell. When you type ", |
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32 | 32 | "`Shift-Enter`, the cell content is executed, output displayed and a new cell is created below. Try", |
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33 | 33 | "it now by putting your cursor on the next cell and typing `Shift-Enter`:" |
|
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34 | 34 | ] |
|
|
35 | 35 | }, |
|
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36 | 36 | { |
|
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37 | 37 | "cell_type": "code", |
|
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38 | 38 | "collapsed": false, |
|
|
39 | 39 | "input": [ |
|
|
40 | 40 | "\"This is the new IPython notebook\"" |
|
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41 | 41 | ], |
|
|
42 | 42 | "language": "python", |
|
|
43 | 43 | "outputs": [ |
|
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44 | 44 | { |
|
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45 | 45 | "output_type": "pyout", |
|
|
46 |
"prompt_number": |
|
|
|
46 | "prompt_number": 1, | |
|
|
47 | 47 | "text": [ |
|
|
48 |
" |
|
|
|
48 | "'This is the new IPython notebook'" | |
|
|
49 | 49 | ] |
|
|
50 | 50 | } |
|
|
51 | 51 | ], |
|
|
52 |
"prompt_number": |
|
|
|
52 | "prompt_number": 1 | |
|
|
53 | 53 | }, |
|
|
54 | 54 | { |
|
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55 | 55 | "cell_type": "markdown", |
|
|
56 | 56 | "source": [ |
|
|
57 | 57 | "You can re-execute the same cell over and over as many times as you want. Simply put your", |
|
|
58 | 58 | "cursor in the cell again, edit at will, and type `Shift-Enter` to execute. ", |
|
|
59 | 59 | "", |
|
|
60 | 60 | "**Tip:** A cell can also be executed", |
|
|
61 | 61 | "*in-place*, where IPython executes its content but leaves the cursor in the same cell. This is done by", |
|
|
62 | 62 | "typing `Ctrl-Enter` instead, and is useful if you want to quickly run a command to check something ", |
|
|
63 | 63 | "before tping the real content you want to leave in the cell. For example, in the next cell, try issuing", |
|
|
64 | 64 | "several system commands in-place with `Ctrl-Enter`, such as `pwd` and then `ls`:" |
|
|
65 | 65 | ] |
|
|
66 | 66 | }, |
|
|
67 | 67 | { |
|
|
68 | 68 | "cell_type": "code", |
|
|
69 | 69 | "collapsed": false, |
|
|
70 | 70 | "input": [ |
|
|
71 | 71 | "ls" |
|
|
72 | 72 | ], |
|
|
73 | 73 | "language": "python", |
|
|
74 | 74 | "outputs": [ |
|
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75 | 75 | { |
|
|
76 | 76 | "output_type": "stream", |
|
|
77 | 77 | "stream": "stdout", |
|
|
78 | 78 | "text": [ |
|
|
79 | 79 | "00_notebook_tour.ipynb formatting.ipynb sympy_quantum_computing.ipynb", |
|
|
80 | 80 | "01_notebook_introduction.ipynb python-logo.svg trapezoid_rule.ipynb", |
|
|
81 | 81 | "display_protocol.ipynb sympy.ipynb" |
|
|
82 | 82 | ] |
|
|
83 | 83 | } |
|
|
84 | 84 | ], |
|
|
85 |
"prompt_number": |
|
|
|
85 | "prompt_number": 2 | |
|
|
86 | 86 | }, |
|
|
87 | 87 | { |
|
|
88 | 88 | "cell_type": "markdown", |
|
|
89 | 89 | "source": [ |
|
|
90 | 90 | "In a cell, you can type anything from a single python expression to an arbitrarily long amount of code ", |
|
|
91 | 91 | "(although for reasons of readability, you should probably limit this to a few dozen lines):" |
|
|
92 | 92 | ] |
|
|
93 | 93 | }, |
|
|
94 | 94 | { |
|
|
95 | 95 | "cell_type": "code", |
|
|
96 | 96 | "collapsed": false, |
|
|
97 | 97 | "input": [ |
|
|
98 | 98 | "def f(x):", |
|
|
99 | 99 | " \"\"\"My function", |
|
|
100 | 100 | " x : parameter\"\"\"", |
|
|
101 | 101 | " ", |
|
|
102 | 102 | " return x+1", |
|
|
103 | 103 | "", |
|
|
104 | 104 | "print \"f(3) = \", f(3)" |
|
|
105 | 105 | ], |
|
|
106 | 106 | "language": "python", |
|
|
107 | 107 | "outputs": [ |
|
|
108 | 108 | { |
|
|
109 | 109 | "output_type": "stream", |
|
|
110 | 110 | "stream": "stdout", |
|
|
111 | 111 | "text": [ |
|
|
112 | 112 | "f(3) = 4" |
|
|
113 | 113 | ] |
|
|
114 | 114 | } |
|
|
115 | 115 | ], |
|
|
116 |
"prompt_number": |
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|
|
116 | "prompt_number": 3 | |
|
|
117 | 117 | }, |
|
|
118 | 118 | { |
|
|
119 | 119 | "cell_type": "markdown", |
|
|
120 | 120 | "source": [ |
|
|
121 | 121 | "## User interface", |
|
|
122 | 122 | "", |
|
|
123 | 123 | "When you start a new notebook server with `ipython notebook`, your", |
|
|
124 | 124 | "browser should open into the *Dashboard*, a page listing all notebooks", |
|
|
125 | 125 | "available in the current directory as well as letting you create new", |
|
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126 | 126 | "notebooks. In this page, you can also drag and drop existing `.py` files", |
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127 | 127 | "over the file list to import them as notebooks (see the manual for ", |
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128 | 128 | "[further details on how these files are ", |
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129 | 129 | "interpreted](http://ipython.org/ipython-doc/stable/interactive/htmlnotebook.html)).", |
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130 | 130 | "", |
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131 | 131 | "Once you open an existing notebook (like this one) or create a new one,", |
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132 | 132 | "you are in the main notebook interface, which consists of a main editing", |
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133 | 133 | "area (where these cells are contained) as well as a collapsible left panel, ", |
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134 | 134 | "a permanent header area at the top, and a pager that rises from the", |
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135 | 135 | "bottom when needed and can be collapsed again." |
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136 | 136 | ] |
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137 | 137 | }, |
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138 | 138 | { |
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139 | 139 | "cell_type": "markdown", |
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140 | 140 | "source": [ |
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141 | 141 | "### Main editing area", |
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142 | 142 | "", |
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143 | 143 | "Here, you can move with the arrow keys or using the ", |
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144 | 144 | "scroll bars. The cursor enters code cells immediately, but only selects", |
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145 | 145 | "text (markdown) cells without entering in them; to enter a text cell,", |
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146 | 146 | "use `Enter`, and `Shift-Enter` to exit it again (just like to execute a ", |
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147 | 147 | "code cell)." |
|
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148 | 148 | ] |
|
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149 | 149 | }, |
|
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150 | 150 | { |
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151 | 151 | "cell_type": "markdown", |
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152 | 152 | "source": [ |
|
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153 | 153 | "### Left panel", |
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154 | 154 | "", |
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155 | 155 | "This panel contains a number of panes that can be", |
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156 | 156 | "collapsed vertically by clicking on their title bar, and the whole panel", |
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157 | 157 | "can also be collapsed by clicking on the vertical divider (note that you", |
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158 | 158 | "can not *drag* the divider, for now you can only click on it).", |
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159 | 159 | "", |
|
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160 | 160 | "The *Notebook* section contains actions that pertain to the whole notebook,", |
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161 | 161 | "such as downloading the current notebook either in its original format", |
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162 | 162 | "or as a `.py` script, and printing it. When you click the `Print` button,", |
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163 | 163 | "a new HTML page opens with a static copy of the notebook; you can then", |
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164 | 164 | "use your web browser's mechanisms to save or print this file.", |
|
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165 | 165 | "", |
|
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166 | 166 | "The *Cell* section lets you manipulate individual cells, and the names should ", |
|
|
167 | 167 | "be fairly self-explanatory.", |
|
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168 | 168 | "", |
|
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169 | 169 | "The *Kernel* section lets you signal the kernel executing your code. ", |
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170 | 170 | "`Interrupt` does the equivalent of hitting `Ctrl-C` at a terminal, and", |
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171 | 171 | "`Restart` fully kills the kernel process and starts a fresh one. Obviously", |
|
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172 | 172 | "this means that all your previous variables are destroyed, but it also", |
|
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173 | 173 | "makes it easy to get a fresh kernel in which to re-execute a notebook, perhaps", |
|
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174 | 174 | "after changing an extension module for which Python's `reload` mechanism", |
|
|
175 | 175 | "does not work. If you check the 'Kill kernel upon exit' box, when you ", |
|
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176 | 176 | "close the page IPython will automatically shut down the running kernel;", |
|
|
177 | 177 | "otherwise the kernels won't close until you stop the whole ", |
|
|
178 | 178 | "", |
|
|
179 | 179 | "The *Help* section contains links to the documentation of some projects", |
|
|
180 | 180 | "closely related to IPython as well as the minimal keybindings you need to", |
|
|
181 | 181 | "know. But you should use `Ctrl-m h` (or click the `QuickHelp` button at", |
|
|
182 | 182 | "the top) and learn some of the other keybindings, as it will make your ", |
|
|
183 | 183 | "workflow much more fluid and efficient.", |
|
|
184 | 184 | "", |
|
|
185 | 185 | "The *Configuration* section at the bottom lets you change some values", |
|
|
186 | 186 | "related to the display of tooltips and the behavior of the tab completer." |
|
|
187 | 187 | ] |
|
|
188 | 188 | }, |
|
|
189 | 189 | { |
|
|
190 | 190 | "cell_type": "markdown", |
|
|
191 | 191 | "source": [ |
|
|
192 | 192 | "### Header bar", |
|
|
193 | 193 | "", |
|
|
194 | 194 | "The header area at the top allows you to rename an existing ", |
|
|
195 | 195 | "notebook and open up a short help tooltip. This area also indicates", |
|
|
196 | 196 | "with a red **Busy** mark on the right whenever the kernel is busy executing", |
|
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197 | 197 | "code." |
|
|
198 | 198 | ] |
|
|
199 | 199 | }, |
|
|
200 | 200 | { |
|
|
201 | 201 | "cell_type": "markdown", |
|
|
202 | 202 | "source": [ |
|
|
203 | 203 | "### The pager at the bottom", |
|
|
204 | 204 | "", |
|
|
205 | 205 | "Whenever IPython needs to display additional ", |
|
|
206 | 206 | "information, such as when you type `somefunction?` in a cell, the notebook", |
|
|
207 | 207 | "opens a pane at the bottom where this information is shown. You can keep", |
|
|
208 | 208 | "this pager pane open for reference (it doesn't block input in the main area)", |
|
|
209 | 209 | "or dismiss it by clicking on its divider bar." |
|
|
210 | 210 | ] |
|
|
211 | 211 | }, |
|
|
212 | 212 | { |
|
|
213 | 213 | "cell_type": "markdown", |
|
|
214 | 214 | "source": [ |
|
|
215 | 215 | "### Tab completion and tooltips", |
|
|
216 | 216 | "", |
|
|
217 | 217 | "The notebook uses the same underlying machinery for tab completion that ", |
|
|
218 | 218 | "IPython uses at the terminal, but displays the information differently.", |
|
|
219 | 219 | "Whey you complete with the `Tab` key, IPython shows a drop list with all", |
|
|
220 | 220 | "available completions. If you type more characters while this list is open,", |
|
|
221 | 221 | "IPython automatically eliminates from the list options that don't match the", |
|
|
222 | 222 | "new characters; once there is only one option left you can hit `Tab` once", |
|
|
223 | 223 | "more (or `Enter`) to complete. You can also select the completion you", |
|
|
224 | 224 | "want with the arrow keys or the mouse, and then hit `Enter`.", |
|
|
225 | 225 | "", |
|
|
226 | 226 | "In addition, if you hit `Tab` inside of open parentheses, IPython will ", |
|
|
227 | 227 | "search for the docstring of the last object left of the parens and will", |
|
|
228 | 228 | "display it on a tooltip. For example, type `list(<TAB>` and you will", |
|
|
229 | 229 | "see the docstring for the builtin `list` constructor:" |
|
|
230 | 230 | ] |
|
|
231 | 231 | }, |
|
|
232 | 232 | { |
|
|
233 | 233 | "cell_type": "code", |
|
|
234 | 234 | "collapsed": true, |
|
|
235 | 235 | "input": [ |
|
|
236 | 236 | "# Position your cursor after the ( and hit the Tab key:", |
|
|
237 | 237 | "list(" |
|
|
238 | 238 | ], |
|
|
239 | 239 | "language": "python", |
|
|
240 |
"outputs": [] |
|
|
|
241 | "prompt_number": " " | |
|
|
240 | "outputs": [] | |
|
|
242 | 241 | }, |
|
|
243 | 242 | { |
|
|
244 | 243 | "cell_type": "markdown", |
|
|
245 | 244 | "source": [ |
|
|
246 | 245 | "## The frontend/kernel model", |
|
|
247 | 246 | "", |
|
|
248 | 247 | "The IPython notebook works on a client/server model where an *IPython kernel*", |
|
|
249 | 248 | "starts in a separate process and acts as a server to executes the code you type,", |
|
|
250 | 249 | "while the web browser provides acts as a client, providing a front end environment", |
|
|
251 | 250 | "for you to type. But one kernel is capable of simultaneously talking to more than", |
|
|
252 | 251 | "one client, and they do not all need to be of the same kind. All IPython frontends", |
|
|
253 | 252 | "are capable of communicating with a kernel, and any number of them can be active", |
|
|
254 | 253 | "at the same time. In addition to allowing you to have, for example, more than one", |
|
|
255 | 254 | "browser session active, this lets you connect clients with different user interface features.", |
|
|
256 | 255 | "", |
|
|
257 | 256 | "For example, you may want to connect a Qt console to your kernel and use it as a help", |
|
|
258 | 257 | "browser, calling `??` on objects in the Qt console (whose pager is more flexible than the", |
|
|
259 | 258 | "one in the notebook). You can start a new Qt console connected to your current kernel by ", |
|
|
260 | 259 | "using the `%qtconsole` magic, this will automatically detect the necessary connection", |
|
|
261 | 260 | "information.", |
|
|
262 | 261 | "", |
|
|
263 | 262 | "If you want to open one manually, or want to open a text console from a terminal, you can ", |
|
|
264 | 263 | "get your kernel's connection information with the `%connect_info` magic:" |
|
|
265 | 264 | ] |
|
|
266 | 265 | }, |
|
|
267 | 266 | { |
|
|
268 | 267 | "cell_type": "code", |
|
|
269 | 268 | "collapsed": false, |
|
|
270 | 269 | "input": [ |
|
|
271 | 270 | "%connect_info" |
|
|
272 | 271 | ], |
|
|
273 | 272 | "language": "python", |
|
|
274 | 273 | "outputs": [ |
|
|
275 | 274 | { |
|
|
276 | 275 | "output_type": "stream", |
|
|
277 | 276 | "stream": "stdout", |
|
|
278 | 277 | "text": [ |
|
|
279 | 278 | "{", |
|
|
280 |
" |
|
|
|
281 |
" |
|
|
|
282 |
" |
|
|
|
283 | " "key": "e7b658da-b60b-42f6-b6b0-5098f5d2e533", ", | |
|
|
284 |
" |
|
|
|
285 |
" |
|
|
|
279 | " \"stdin_port\": 53970, ", | |
|
|
280 | " \"ip\": \"127.0.0.1\", ", | |
|
|
281 | " \"hb_port\": 53971, ", | |
|
|
282 | " \"key\": \"30daac61-6b73-4bae-a7d9-9dca538794d5\", ", | |
|
|
283 | " \"shell_port\": 53968, ", | |
|
|
284 | " \"iopub_port\": 53969", | |
|
|
286 | 285 | "}", |
|
|
287 | 286 | "", |
|
|
288 | 287 | "Paste the above JSON into a file, and connect with:", |
|
|
289 |
" $ |
|
|
|
288 | " $> ipython <app> --existing <file>", | |
|
|
290 | 289 | "or, if you are local, you can connect with just:", |
|
|
291 |
" $ |
|
|
|
290 | " $> ipython <app> --existing kernel-dd85d1cc-c335-44f4-bed8-f1a2173a819a.json ", | |
|
|
292 | 291 | "or even just:", |
|
|
293 |
" $ |
|
|
|
292 | " $> ipython <app> --existing ", | |
|
|
294 | 293 | "if this is the most recent IPython session you have started." |
|
|
295 | 294 | ] |
|
|
296 | 295 | } |
|
|
297 | 296 | ], |
|
|
298 |
"prompt_number": |
|
|
|
297 | "prompt_number": 4 | |
|
|
299 | 298 | }, |
|
|
300 | 299 | { |
|
|
301 | 300 | "cell_type": "markdown", |
|
|
302 | 301 | "source": [ |
|
|
303 | 302 | "## The kernel's `raw_input` and `%debug`", |
|
|
304 | 303 | "", |
|
|
305 | 304 | "The one feature the notebook currently doesn't support as a client is the ability to send data to the kernel's", |
|
|
306 | 305 | "standard input socket. That is, if the kernel requires information to be typed interactively by calling the", |
|
|
307 | 306 | "builtin `raw_input` function, the notebook will be blocked. This happens for example if you run a script", |
|
|
308 | 307 | "that queries interactively for parameters, and very importantly, is how the interactive IPython debugger that ", |
|
|
309 | 308 | "activates when you type `%debug` works.", |
|
|
310 | 309 | "", |
|
|
311 | 310 | "So, in order to be able to use `%debug` or anything else that requires `raw_input`, you can either use a Qt ", |
|
|
312 | 311 | "console or a terminal console:", |
|
|
313 | 312 | "", |
|
|
314 | 313 | "- From the notebook, typing `%qtconsole` finds all the necessary connection data for you.", |
|
|
315 | 314 | "- From the terminal, first type `%connect_info` while still in the notebook, and then copy and paste the ", |
|
|
316 | 315 | "resulting information, using `qtconsole` or `console` depending on which type of client you want." |
|
|
317 | 316 | ] |
|
|
318 | 317 | }, |
|
|
319 | 318 | { |
|
|
320 | 319 | "cell_type": "markdown", |
|
|
321 | 320 | "source": [ |
|
|
322 | 321 | "## Display of complex objects", |
|
|
323 | 322 | "", |
|
|
324 | 323 | "As the 'tour' notebook shows, the IPython notebook has fairly sophisticated display capabilities. In addition", |
|
|
325 | 324 | "to the examples there, you can study the `display_protocol` notebook in this same examples folder, to ", |
|
|
326 | 325 | "learn how to customize arbitrary objects (in your own code or external libraries) to display in the notebook", |
|
|
327 | 326 | "in any way you want, including graphical forms or mathematical expressions." |
|
|
328 | 327 | ] |
|
|
329 | 328 | }, |
|
|
330 | 329 | { |
|
|
331 | 330 | "cell_type": "markdown", |
|
|
332 | 331 | "source": [ |
|
|
333 | 332 | "## Plotting support", |
|
|
334 | 333 | "", |
|
|
335 | 334 | "As we've explained already, the notebook is just another frontend talking to the same IPython kernel that", |
|
|
336 | 335 | "you're already familiar with, so the same options for plotting support apply.", |
|
|
337 | 336 | "", |
|
|
338 | 337 | "If you start the notebook with `--pylab`, you will get matplotlib's floating, interactive windows and you", |
|
|
339 | 338 | "can call the `display` function to paste figures into the notebook document. If you start it with ", |
|
|
340 | 339 | "`--pylab inline`, all plots will appear inline automatically. In this regard, the notebook works identically", |
|
|
341 | 340 | "to the Qt console.", |
|
|
342 | 341 | "", |
|
|
343 | 342 | "Note that if you start the notebook server with pylab support, *all* kernels are automatically started in", |
|
|
344 | 343 | "pylab mode and with the same choice of backend (i.e. floating windows or inline figures). But you can also", |
|
|
345 | 344 | "start the notebook server simply by typing `ipython notebook`, and then selectively turn on pylab support ", |
|
|
346 | 345 | "only for the notebooks you want by using the `%pylab` magic (see its docstring for details)." |
|
|
347 | 346 | ] |
|
|
348 | 347 | }, |
|
|
349 | 348 | { |
|
|
350 | 349 | "cell_type": "code", |
|
|
351 | 350 | "collapsed": false, |
|
|
352 | 351 | "input": [ |
|
|
353 | 352 | "%pylab inline", |
|
|
354 | 353 | "plot(rand(100))" |
|
|
355 | 354 | ], |
|
|
356 | 355 | "language": "python", |
|
|
357 | 356 | "outputs": [ |
|
|
358 | 357 | { |
|
|
359 | 358 | "output_type": "stream", |
|
|
360 | 359 | "stream": "stdout", |
|
|
361 | 360 | "text": [ |
|
|
362 | 361 | "", |
|
|
363 | 362 | "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].", |
|
|
364 |
"For more information, type |
|
|
|
363 | "For more information, type 'help(pylab)'." | |
|
|
365 | 364 | ] |
|
|
366 | 365 | }, |
|
|
367 | 366 | { |
|
|
368 | 367 | "output_type": "pyout", |
|
|
369 |
"prompt_number": |
|
|
|
368 | "prompt_number": 5, | |
|
|
370 | 369 | "text": [ |
|
|
371 |
"[ |
|
|
|
370 | "[<matplotlib.lines.Line2D at 0x11165bcd0>]" | |
|
|
372 | 371 | ] |
|
|
373 | 372 | }, |
|
|
374 | 373 | { |
|
|
375 | 374 | "output_type": "display_data", |
|
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376 | 375 | "png": 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KENI/dkzdg4/aoskrBQ+Ya9OYpuCp/w5kB1k7O0nQMmkFr0Lwfgp+dJTc1GgKm/szBwYI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\n" |
|
|
377 | 376 | } |
|
|
378 | 377 | ], |
|
|
379 |
"prompt_number": |
|
|
|
378 | "prompt_number": 5 | |
|
|
380 | 379 | }, |
|
|
381 | 380 | { |
|
|
382 | 381 | "cell_type": "markdown", |
|
|
383 | 382 | "source": [ |
|
|
384 | 383 | "## Security", |
|
|
385 | 384 | "", |
|
|
386 | 385 | "By default the notebook only listens on localhost, so it does not expose your computer to attacks coming from", |
|
|
387 | 386 | "the internet. By default the notebook does not require any authentication, but you can configure it to", |
|
|
388 | 387 | "ask for a password before allowing access to the files. ", |
|
|
389 | 388 | "", |
|
|
390 | 389 | "Furthermore, you can require the notebook to encrypt all communications by using SSL and making all connections", |
|
|
391 | 390 | "using the https protocol instead of plain http. This is a good idea if you decide to run your notebook on", |
|
|
392 | 391 | "addresses that are visible from the internet. For further details on how to configure this, see the", |
|
|
393 | 392 | "[security section](http://ipython.org/ipython-doc/stable/interactive/htmlnotebook.html#security) of the ", |
|
|
394 | 393 | "manual.", |
|
|
395 | 394 | "", |
|
|
396 | 395 | "Finally, note that you can also run a notebook with the `--read-only` flag, which lets you provide access", |
|
|
397 | 396 | "to your notebook documents to others without letting them execute code (which can be useful to broadcast", |
|
|
398 | 397 | "a computation to colleagues or students, for example). The read-only flag behaves differently depending", |
|
|
399 | 398 | "on whether the server has a password or not:", |
|
|
400 | 399 | "", |
|
|
401 | 400 | "- Passwordless server: users directly see all notebooks in read-only mode.", |
|
|
402 | 401 | "- Password-protected server: users can see all notebooks in read-only mode, but a login button is available", |
|
|
403 | 402 | "and once a user authenticates, he or she obtains write/execute privileges.", |
|
|
404 | 403 | "", |
|
|
405 | 404 | "The first case above makes it easy to broadcast on the fly an existing notebook by simply starting a *second* ", |
|
|
406 | 405 | "notebook server in the same directory as the first, but in read-only mode. This can be done without having", |
|
|
407 | 406 | "to configure a password first (which requires calling a hashing function and editing a configuration file)." |
|
|
408 | 407 | ] |
|
|
409 | 408 | }, |
|
|
410 | 409 | { |
|
|
411 | 410 | "cell_type": "code", |
|
|
412 | 411 | "collapsed": true, |
|
|
413 | 412 | "input": [], |
|
|
414 | 413 | "language": "python", |
|
|
415 |
"outputs": [] |
|
|
|
416 | "prompt_number": " " | |
|
|
414 | "outputs": [] | |
|
|
417 | 415 | } |
|
|
418 | 416 | ] |
|
|
419 | 417 | } |
|
|
420 | 418 | ] |
|
|
421 | } | |
|
|
419 | } No newline at end of file | |
| @@ -1,126 +1,126 b'' | |||
|
|
1 | 1 | { |
|
|
2 | 2 | "metadata": { |
|
|
3 | 3 | "name": "formatting" |
|
|
4 | 4 | }, |
|
|
5 | 5 | "nbformat": 2, |
|
|
6 | 6 | "worksheets": [ |
|
|
7 | 7 | { |
|
|
8 | 8 | "cells": [ |
|
|
9 | 9 | { |
|
|
10 | 10 | "cell_type": "markdown", |
|
|
11 | 11 | "source": [ |
|
|
12 | 12 | "# Examples of basic formatting in the notebook", |
|
|
13 | 13 | "", |
|
|
14 | 14 | "Normal and formatted text cells such as this one use the ", |
|
|
15 | 15 | "[Markdown](http://daringfireball.net/projects/markdown/basics) syntax.", |
|
|
16 | 16 | "", |
|
|
17 | 17 | "", |
|
|
18 | 18 | "# Title (h1)", |
|
|
19 | 19 | "", |
|
|
20 | 20 | "## Heading (h2)", |
|
|
21 | 21 | "", |
|
|
22 | 22 | "### Heading (h3)", |
|
|
23 | 23 | "", |
|
|
24 | 24 | "Here is a paragraph of text.", |
|
|
25 | 25 | "", |
|
|
26 | 26 | "* One.", |
|
|
27 | 27 | " - Sublist", |
|
|
28 | 28 | " - Here we go", |
|
|
29 | 29 | " - Sublist", |
|
|
30 | 30 | " - Here we go", |
|
|
31 | 31 | " - Here we go", |
|
|
32 | 32 | "* Two.", |
|
|
33 | 33 | " - Sublist", |
|
|
34 | 34 | "* Three.", |
|
|
35 | 35 | " - Sublist", |
|
|
36 | 36 | "", |
|
|
37 | 37 | "Now another list:", |
|
|
38 | 38 | "", |
|
|
39 | 39 | "---", |
|
|
40 | 40 | "", |
|
|
41 | 41 | "1. Here we go", |
|
|
42 | 42 | " 1. Sublist", |
|
|
43 | 43 | " 2. Sublist", |
|
|
44 | 44 | "2. There we go", |
|
|
45 | 45 | "3. Now this", |
|
|
46 | 46 | "", |
|
|
47 | 47 | "And another paragraph.", |
|
|
48 | 48 | "", |
|
|
49 | 49 | "### Heading (h3)", |
|
|
50 | 50 | "", |
|
|
51 | 51 | "#### Heading (h4)", |
|
|
52 | 52 | "", |
|
|
53 | 53 | "##### Heading (h5)", |
|
|
54 | 54 | "", |
|
|
55 | 55 | "###### Heading (h6)", |
|
|
56 | 56 | "", |
|
|
57 | 57 | "## Heading (h2)" |
|
|
58 | 58 | ] |
|
|
59 | 59 | }, |
|
|
60 | 60 | { |
|
|
61 | 61 | "cell_type": "markdown", |
|
|
62 | 62 | "source": [ |
|
|
63 | 63 | "# Heading (h1)", |
|
|
64 | 64 | "", |
|
|
65 | 65 | "## Heading (h2)", |
|
|
66 | 66 | "", |
|
|
67 | 67 | "### Heading (h3)", |
|
|
68 | 68 | "", |
|
|
69 | 69 | "#### Heading (h4)", |
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70 | 70 | "", |
|
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71 | 71 | "##### Heading (h5)", |
|
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72 | 72 | "", |
|
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73 | 73 | "###### Heading (h6)", |
|
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74 | 74 | "", |
|
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75 | 75 | "Now for a simple code example:", |
|
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76 | 76 | "", |
|
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77 | 77 | " for i in range(10):", |
|
|
78 | 78 | " print i", |
|
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79 | 79 | "", |
|
|
80 | 80 | "Now more text" |
|
|
81 | 81 | ] |
|
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82 | 82 | }, |
|
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83 | 83 | { |
|
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84 | 84 | "cell_type": "markdown", |
|
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85 | 85 | "source": [ |
|
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86 | 86 | "## Heading (h2)", |
|
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87 | 87 | "", |
|
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88 | 88 | "Here is text.", |
|
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89 | 89 | "", |
|
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90 | 90 | "> This is a *block* quote. This is a block quote. This is a block quote. ", |
|
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91 | 91 | "> This is a **block** quote. This is a block quote. This is a block quote. ", |
|
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92 | 92 | "> This is a `block` quote. This is a block quote. This is a block quote. ", |
|
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93 | 93 | "> This is a block quote. This is a block quote. This is a block quote. ", |
|
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94 | 94 | "> This is a block quote. This is a block quote. This is a block quote. ", |
|
|
95 | 95 | "> This is a block quote. This is a block quote. This is a block quote. ", |
|
|
96 | 96 | "", |
|
|
97 | 97 | "Here is text", |
|
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98 | 98 | "", |
|
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99 | 99 | "<table>", |
|
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100 | 100 | "<tr>", |
|
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101 | 101 | "<th>Header 1</th>", |
|
|
102 | 102 | "<th>Header 2</th>", |
|
|
103 | 103 | "</tr>", |
|
|
104 | 104 | "<tr>", |
|
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105 | 105 | "<td>row 1, cell 1</td>", |
|
|
106 | 106 | "<td>row 1, cell 2</td>", |
|
|
107 | 107 | "</tr>", |
|
|
108 | 108 | "<tr>", |
|
|
109 | 109 | "<td>row 2, cell 1</td>", |
|
|
110 | 110 | "<td>row 2, cell 2</td>", |
|
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111 | 111 | "</tr>", |
|
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112 | 112 | "</table>" |
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113 | 113 | ] |
|
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114 | 114 | }, |
|
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115 | 115 | { |
|
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116 | 116 | "cell_type": "code", |
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117 | 117 | "collapsed": true, |
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118 | 118 | "input": [], |
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119 | 119 | "language": "python", |
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120 |
"outputs": [], |
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120 | "outputs": [], | |
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121 | 121 | "prompt_number": " " |
|
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122 | 122 | } |
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123 | 123 | ] |
|
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124 | 124 | } |
|
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125 | 125 | ] |
|
|
126 | 126 | } No newline at end of file |
| @@ -1,625 +1,626 b'' | |||
|
|
1 | 1 | { |
|
|
2 | 2 | "metadata": { |
|
|
3 | 3 | "name": "sympy" |
|
|
4 | 4 | }, |
|
|
5 | 5 | "nbformat": 2, |
|
|
6 | 6 | "worksheets": [ |
|
|
7 | 7 | { |
|
|
8 | 8 | "cells": [ |
|
|
9 | 9 | { |
|
|
10 | 10 | "cell_type": "markdown", |
|
|
11 | 11 | "source": [ |
|
|
12 | 12 | "# SymPy: Open Source Symbolic Mathematics", |
|
|
13 | 13 | "", |
|
|
14 | 14 | "This notebook uses the [SymPy](http://sympy.org) package to perform symbolic manipulations,", |
|
|
15 | 15 | "and combined with numpy and matplotlib, also displays numerical visualizations of symbolically", |
|
|
16 | 16 | "constructed expressions.", |
|
|
17 | 17 | "", |
|
|
18 | 18 | "We first load sympy printing and plotting support, as well as all of sympy:" |
|
|
19 | 19 | ] |
|
|
20 | 20 | }, |
|
|
21 | 21 | { |
|
|
22 | 22 | "cell_type": "code", |
|
|
23 | 23 | "collapsed": false, |
|
|
24 | 24 | "input": [ |
|
|
25 | 25 | "%load_ext sympyprinting", |
|
|
26 | 26 | "%pylab inline", |
|
|
27 | 27 | "", |
|
|
28 | 28 | "from __future__ import division", |
|
|
29 | 29 | "import sympy as sym", |
|
|
30 | 30 | "from sympy import *", |
|
|
31 | 31 | "x, y, z = symbols(\"x y z\")", |
|
|
32 | 32 | "k, m, n = symbols(\"k m n\", integer=True)", |
|
|
33 | 33 | "f, g, h = map(Function, 'fgh')" |
|
|
34 | 34 | ], |
|
|
35 | 35 | "language": "python", |
|
|
36 | 36 | "outputs": [ |
|
|
37 | 37 | { |
|
|
38 | 38 | "output_type": "stream", |
|
|
39 | 39 | "stream": "stdout", |
|
|
40 | 40 | "text": [ |
|
|
41 | 41 | "", |
|
|
42 | 42 | "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].", |
|
|
43 |
"For more information, type |
|
|
|
43 | "For more information, type 'help(pylab)'." | |
|
|
44 | 44 | ] |
|
|
45 | 45 | } |
|
|
46 | 46 | ], |
|
|
47 | 47 | "prompt_number": 1 |
|
|
48 | 48 | }, |
|
|
49 | 49 | { |
|
|
50 | 50 | "cell_type": "markdown", |
|
|
51 | 51 | "source": [ |
|
|
52 | 52 | "<h2>Elementary operations</h2>" |
|
|
53 | 53 | ] |
|
|
54 | 54 | }, |
|
|
55 | 55 | { |
|
|
56 | 56 | "cell_type": "code", |
|
|
57 | 57 | "collapsed": false, |
|
|
58 | 58 | "input": [ |
|
|
59 | 59 | "Rational(3,2)*pi + exp(I*x) / (x**2 + y)" |
|
|
60 | 60 | ], |
|
|
61 | 61 | "language": "python", |
|
|
62 | 62 | "outputs": [ |
|
|
63 | 63 | { |
|
|
64 | 64 | "latex": [ |
|
|
65 | 65 | "$$\\frac{3}{2} \\pi + \\frac{e^{\\mathbf{\\imath} x}}{x^{2} + y}$$" |
|
|
66 | 66 | ], |
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|
67 | 67 | "output_type": "pyout", |
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68 | 68 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFAAAAAlCAYAAADV/m7fAAAABHNCSVQICAgIfAhkiAAAA91JREFU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\ndFwsfldTlGRq0aJFi6bjP9GM0XhICUQDAAAAAElFTkSuQmCC\n", |
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69 | 69 | "prompt_number": 2, |
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70 | 70 | "text": [ |
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71 | 71 | "", |
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72 | 72 | " \u2148\u22c5x ", |
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73 | 73 | "3\u22c5\u03c0 \u212f ", |
|
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74 | 74 | "\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500", |
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75 | 75 | " 2 2 ", |
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76 | 76 | " x + y" |
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77 | 77 | ] |
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78 | 78 | } |
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79 | 79 | ], |
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80 | 80 | "prompt_number": 2 |
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81 | 81 | }, |
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82 | 82 | { |
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83 | 83 | "cell_type": "code", |
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84 | 84 | "collapsed": false, |
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85 | 85 | "input": [ |
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86 | 86 | "exp(I*x).subs(x,pi).evalf()" |
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87 | 87 | ], |
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88 | 88 | "language": "python", |
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89 | 89 | "outputs": [ |
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90 | 90 | { |
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91 | 91 | "latex": [ |
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92 | 92 | "$$-1.0$$" |
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93 | 93 | ], |
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94 | 94 | "output_type": "pyout", |
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95 | 95 | "png": "iVBORw0KGgoAAAANSUhEUgAAACsAAAASCAYAAADCKCelAAAABHNCSVQICAgIfAhkiAAAAU1JREFU\nSInt1csrBlEcxvGPWxKFhcsCK5QFJVlYsfJPsLKQjf8CG8qejVKWkhUbsRBZuWzct0okxQK5LGam\npmmU923evMpTp9N5njm/+c7MmXP4QyopQM0WbKM9j3mzuMEjKjCP+yzhIlVjGOf4zHFuGS4xHvOm\nsInSTOhi6sIaZrArd9gRvAgeOFJHWGcsC8DvtCR32ENspfhXWI0Gmb/iPFSOHlykZJcYigbFANsk\n+NGfUrJn1KOS4oBtDvvnlCzy6igO2Jew/0jJKuJZMcCe4fWbrBpvuCNY3JG6seDnB8UhJvIEjOsN\np4K1mVQNboW7Sxz2BAMZ3DwfHaM14ZWhF3uR8RvLoBVVCe8Igwm/H7WYKyTMuuCzNaZkfXjHRsKv\nFxzTkzFvAfuFAGzEjmBj/wzbAw4wGruuDdeYTqnRiWUshm0FDYWA/def1heszTze5axPeQAAAABJ\nRU5ErkJggg==\n", |
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96 | 96 | "prompt_number": 4, |
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97 | 97 | "text": [ |
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98 | 98 | "-1.00000000000000" |
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99 | 99 | ] |
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100 | 100 | } |
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101 | 101 | ], |
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102 | 102 | "prompt_number": 4 |
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103 | 103 | }, |
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104 | 104 | { |
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105 | 105 | "cell_type": "code", |
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106 | 106 | "collapsed": true, |
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107 | 107 | "input": [ |
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108 | 108 | "e = x + 2*y" |
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109 | 109 | ], |
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110 | 110 | "language": "python", |
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111 | 111 | "outputs": [], |
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112 | 112 | "prompt_number": 5 |
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113 | 113 | }, |
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114 | 114 | { |
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115 | 115 | "cell_type": "code", |
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116 | 116 | "collapsed": false, |
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117 | 117 | "input": [ |
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118 | 118 | "srepr(e)" |
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119 | 119 | ], |
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120 | 120 | "language": "python", |
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121 | 121 | "outputs": [ |
|
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122 | 122 | { |
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123 | 123 | "output_type": "pyout", |
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124 | 124 | "prompt_number": 6, |
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125 | 125 | "text": [ |
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126 |
"Add(Symbol( |
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|
126 | "Add(Symbol('x'), Mul(Integer(2), Symbol('y')))" | |
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127 | 127 | ] |
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128 | 128 | } |
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129 | 129 | ], |
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130 | 130 | "prompt_number": 6 |
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131 | 131 | }, |
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132 | 132 | { |
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133 | 133 | "cell_type": "code", |
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134 | 134 | "collapsed": false, |
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135 | 135 | "input": [ |
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136 | 136 | "exp(pi * sqrt(163)).evalf(50)" |
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137 | 137 | ], |
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138 | 138 | "language": "python", |
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139 | 139 | "outputs": [ |
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140 | 140 | { |
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141 | 141 | "latex": [ |
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142 | 142 | "$$262537412640768743.99999999999925007259719818568888$$" |
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143 | 143 | ], |
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144 | 144 | "output_type": "pyout", |
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146 | 146 | "prompt_number": 7, |
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147 | 147 | "text": [ |
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148 | 148 | "262537412640768743.99999999999925007259719818568888" |
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149 | 149 | ] |
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150 | 150 | } |
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151 | 151 | ], |
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152 | 152 | "prompt_number": 7 |
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153 | 153 | }, |
|
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154 | 154 | { |
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155 | 155 | "cell_type": "markdown", |
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156 | 156 | "source": [ |
|
|
157 | 157 | "<h2>Algebra<h2>" |
|
|
158 | 158 | ] |
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159 | 159 | }, |
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160 | 160 | { |
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161 | 161 | "cell_type": "code", |
|
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162 | 162 | "collapsed": false, |
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163 | 163 | "input": [ |
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164 | 164 | "eq = ((x+y)**2 * (x+1))", |
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165 | 165 | "eq" |
|
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166 | 166 | ], |
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167 | 167 | "language": "python", |
|
|
168 | 168 | "outputs": [ |
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169 | 169 | { |
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170 | 170 | "latex": [ |
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171 | 171 | "$$\\left(x + 1\\right) \\left(x + y\\right)^{2}$$" |
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172 | 172 | ], |
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173 | 173 | "output_type": "pyout", |
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174 | 174 | "png": "iVBORw0KGgoAAAANSUhEUgAAAHQAAAAbCAYAAACtOKuoAAAABHNCSVQICAgIfAhkiAAAA/tJREFU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\nAElFTkSuQmCC\n", |
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175 | 175 | "prompt_number": 8, |
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176 | 176 | "text": [ |
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177 | 177 | "", |
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178 | 178 | " 2", |
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179 | 179 | "(x + 1)\u22c5(x + y) " |
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180 | 180 | ] |
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181 | 181 | } |
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182 | 182 | ], |
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183 | 183 | "prompt_number": 8 |
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184 | 184 | }, |
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185 | 185 | { |
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186 | 186 | "cell_type": "code", |
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187 | 187 | "collapsed": false, |
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188 | 188 | "input": [ |
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189 | 189 | "expand(eq)" |
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190 | 190 | ], |
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191 | 191 | "language": "python", |
|
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192 | 192 | "outputs": [ |
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193 | 193 | { |
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194 | 194 | "latex": [ |
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195 | 195 | "$$x^{3} + 2 x^{2} y + x^{2} + x y^{2} + 2 x y + y^{2}$$" |
|
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196 | 196 | ], |
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197 | 197 | "output_type": "pyout", |
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198 | 198 | "png": "iVBORw0KGgoAAAANSUhEUgAAAQ0AAAAbCAYAAABm6to6AAAABHNCSVQICAgIfAhkiAAABQhJREFU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\n", |
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199 | 199 | "prompt_number": 9, |
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200 | 200 | "text": [ |
|
|
201 | 201 | "", |
|
|
202 | 202 | " 3 2 2 2 2", |
|
|
203 | 203 | "x + 2\u22c5x \u22c5y + x + x\u22c5y + 2\u22c5x\u22c5y + y " |
|
|
204 | 204 | ] |
|
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205 | 205 | } |
|
|
206 | 206 | ], |
|
|
207 | 207 | "prompt_number": 9 |
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208 | 208 | }, |
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209 | 209 | { |
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210 | 210 | "cell_type": "code", |
|
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211 | 211 | "collapsed": false, |
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212 | 212 | "input": [ |
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213 | 213 | "a = 1/x + (x*sin(x) - 1)/x", |
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214 | 214 | "a" |
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215 | 215 | ], |
|
|
216 | 216 | "language": "python", |
|
|
217 | 217 | "outputs": [ |
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|
218 | 218 | { |
|
|
219 | 219 | "latex": [ |
|
|
220 | 220 | "$$\\frac{x \\operatorname{sin}\\left(x\\right) -1}{x} + \\frac{1}{x}$$" |
|
|
221 | 221 | ], |
|
|
222 | 222 | "output_type": "pyout", |
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223 | 223 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFwAAAAbCAYAAADxsuiMAAAABHNCSVQICAgIfAhkiAAAAolJREFU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\n1YVPJWzHYFHp/atRo0aNquc3S/HNyBXE+1kAAAAASUVORK5CYII=\n", |
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224 | 224 | "prompt_number": 10, |
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225 | 225 | "text": [ |
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|
226 | 226 | "", |
|
|
227 | 227 | "x\u22c5sin(x) - 1 1", |
|
|
228 | 228 | "\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500", |
|
|
229 | 229 | " x x" |
|
|
230 | 230 | ] |
|
|
231 | 231 | } |
|
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232 | 232 | ], |
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233 | 233 | "prompt_number": 10 |
|
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234 | 234 | }, |
|
|
235 | 235 | { |
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236 | 236 | "cell_type": "code", |
|
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237 | 237 | "collapsed": false, |
|
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238 | 238 | "input": [ |
|
|
239 | 239 | "simplify(a)" |
|
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240 | 240 | ], |
|
|
241 | 241 | "language": "python", |
|
|
242 | 242 | "outputs": [ |
|
|
243 | 243 | { |
|
|
244 | 244 | "latex": [ |
|
|
245 | 245 | "$$\\operatorname{sin}\\left(x\\right)$$" |
|
|
246 | 246 | ], |
|
|
247 | 247 | "output_type": "pyout", |
|
|
248 | 248 | "png": "iVBORw0KGgoAAAANSUhEUgAAADAAAAASCAYAAAAdZl26AAAABHNCSVQICAgIfAhkiAAAAnNJREFU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\n89kW1gAAAABJRU5ErkJggg==\n", |
|
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249 | 249 | "prompt_number": 11, |
|
|
250 | 250 | "text": [ |
|
|
251 | 251 | "sin(x)" |
|
|
252 | 252 | ] |
|
|
253 | 253 | } |
|
|
254 | 254 | ], |
|
|
255 | 255 | "prompt_number": 11 |
|
|
256 | 256 | }, |
|
|
257 | 257 | { |
|
|
258 | 258 | "cell_type": "code", |
|
|
259 | 259 | "collapsed": false, |
|
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260 | 260 | "input": [ |
|
|
261 | 261 | "eq = Eq(x**3 + 2*x**2 + 4*x + 8, 0)", |
|
|
262 | 262 | "eq" |
|
|
263 | 263 | ], |
|
|
264 | 264 | "language": "python", |
|
|
265 | 265 | "outputs": [ |
|
|
266 | 266 | { |
|
|
267 | 267 | "latex": [ |
|
|
268 | 268 | "$$x^{3} + 2 x^{2} + 4 x + 8 = 0$$" |
|
|
269 | 269 | ], |
|
|
270 | 270 | "output_type": "pyout", |
|
|
271 | 271 | "png": "iVBORw0KGgoAAAANSUhEUgAAALIAAAAZCAYAAACVUXRFAAAABHNCSVQICAgIfAhkiAAABSRJREFU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\nX/JnRRiZjdxGAAAAAElFTkSuQmCC\n", |
|
|
272 | 272 | "prompt_number": 12, |
|
|
273 | 273 | "text": [ |
|
|
274 | 274 | "", |
|
|
275 | 275 | " 3 2 ", |
|
|
276 | 276 | "x + 2\u22c5x + 4\u22c5x + 8 = 0" |
|
|
277 | 277 | ] |
|
|
278 | 278 | } |
|
|
279 | 279 | ], |
|
|
280 | 280 | "prompt_number": 12 |
|
|
281 | 281 | }, |
|
|
282 | 282 | { |
|
|
283 | 283 | "cell_type": "code", |
|
|
284 | 284 | "collapsed": false, |
|
|
285 | 285 | "input": [ |
|
|
286 | 286 | "solve(eq, x)" |
|
|
287 | 287 | ], |
|
|
288 | 288 | "language": "python", |
|
|
289 | 289 | "outputs": [ |
|
|
290 | 290 | { |
|
|
291 | 291 | "output_type": "pyout", |
|
|
292 | 292 | "prompt_number": 13, |
|
|
293 | 293 | "text": [ |
|
|
294 | 294 | "[-2, -2\u22c5\u2148, 2\u22c5\u2148]" |
|
|
295 | 295 | ] |
|
|
296 | 296 | } |
|
|
297 | 297 | ], |
|
|
298 | 298 | "prompt_number": 13 |
|
|
299 | 299 | }, |
|
|
300 | 300 | { |
|
|
301 | 301 | "cell_type": "code", |
|
|
302 | 302 | "collapsed": false, |
|
|
303 | 303 | "input": [ |
|
|
304 | 304 | "a, b = symbols('a b')", |
|
|
305 | 305 | "Sum(6*n**2 + 2**n, (n, a, b))" |
|
|
306 | 306 | ], |
|
|
307 | 307 | "language": "python", |
|
|
308 | 308 | "outputs": [ |
|
|
309 | 309 | { |
|
|
310 | 310 | "latex": [ |
|
|
311 | 311 | "$$\\sum_{n=a}^{b} \\left(2^{n} + 6 n^{2}\\right)$$" |
|
|
312 | 312 | ], |
|
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313 | 313 | "output_type": "pyout", |
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314 | 314 | "png": "iVBORw0KGgoAAAANSUhEUgAAAHgAAAA4CAYAAAA2PDy+AAAABHNCSVQICAgIfAhkiAAABt1JREFU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\nTkSuQmCC\n", |
|
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315 | 315 | "prompt_number": 14, |
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316 | 316 | "text": [ |
|
|
317 | 317 | "", |
|
|
318 | 318 | " b ", |
|
|
319 | 319 | " ___ ", |
|
|
320 |
" \ |
|
|
|
321 |
" \ |
|
|
|
322 |
" |
|
|
|
323 |
" |
|
|
|
320 | " \u2572 ", | |
|
|
321 | " \u2572 \u239b n 2\u239e", | |
|
|
322 | " \u2571 \u239d2 + 6\u22c5n \u23a0", | |
|
|
323 | " \u2571 ", | |
|
|
324 | " \u203e\u203e\u203e ", | |
|
|
324 | 325 | "n = a " |
|
|
325 | 326 | ] |
|
|
326 | 327 | } |
|
|
327 | 328 | ], |
|
|
328 | 329 | "prompt_number": 14 |
|
|
329 | 330 | }, |
|
|
330 | 331 | { |
|
|
331 | 332 | "cell_type": "markdown", |
|
|
332 | 333 | "source": [ |
|
|
333 | 334 | "<h2>Calculus</h2>" |
|
|
334 | 335 | ] |
|
|
335 | 336 | }, |
|
|
336 | 337 | { |
|
|
337 | 338 | "cell_type": "code", |
|
|
338 | 339 | "collapsed": false, |
|
|
339 | 340 | "input": [ |
|
|
340 | 341 | "limit((sin(x)-x)/x**3, x, 0)" |
|
|
341 | 342 | ], |
|
|
342 | 343 | "language": "python", |
|
|
343 | 344 | "outputs": [ |
|
|
344 | 345 | { |
|
|
345 | 346 | "latex": [ |
|
|
346 | 347 | "$$- \\frac{1}{6}$$" |
|
|
347 | 348 | ], |
|
|
348 | 349 | "output_type": "pyout", |
|
|
349 | 350 | "png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAAeCAYAAADZ7LXbAAAABHNCSVQICAgIfAhkiAAAAPpJREFU\nSInt1aFKBFEUh/Gfq0WDCO6iguhoMwg2k6YFi7DRaBKMvoDZavYhDBaDLyBo2CfQJhgMgm6wjGHu\nLOOAgnIWXHa/cs+ce/n+3GHmXoaMOdxgpT4xFRRwhCbaaAQ5vyVHVm8OPHUc8j9DJoM8hzjBFtaw\niNsg96gxUak3cVHr/UQXx78N+St5gGNIiHhdJR1MYwazOA90o7hHzlKd4SMFhdHAE1YrvfXqgoib\ncQNLih3sYhtXeAhw9zlQfMY76Xker1guF0Scwm9pvE/jC3rYjwzpKnZSPdFzvAe4v3CNvVS38IyF\ncjLqP2niFI9Jfom7IPeYAfAJyood4uaM00cAAAAASUVORK5CYII=\n", |
|
|
350 | 351 | "prompt_number": 15, |
|
|
351 | 352 | "text": [ |
|
|
352 | 353 | "-1/6" |
|
|
353 | 354 | ] |
|
|
354 | 355 | } |
|
|
355 | 356 | ], |
|
|
356 | 357 | "prompt_number": 15 |
|
|
357 | 358 | }, |
|
|
358 | 359 | { |
|
|
359 | 360 | "cell_type": "code", |
|
|
360 | 361 | "collapsed": false, |
|
|
361 | 362 | "input": [ |
|
|
362 | 363 | "(1/cos(x)).series(x, 0, 6)" |
|
|
363 | 364 | ], |
|
|
364 | 365 | "language": "python", |
|
|
365 | 366 | "outputs": [ |
|
|
366 | 367 | { |
|
|
367 | 368 | "latex": [ |
|
|
368 | 369 | "$$1 + \\frac{1}{2} x^{2} + \\frac{5}{24} x^{4} + \\operatorname{\\mathcal{O}}\\left(x^{6}\\right)$$" |
|
|
369 | 370 | ], |
|
|
370 | 371 | "output_type": "pyout", |
|
|
371 | 372 | "png": "iVBORw0KGgoAAAANSUhEUgAAAMEAAAAfCAYAAABedqnDAAAABHNCSVQICAgIfAhkiAAABlFJREFU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\nVzAtLS0tLS0tLS0tLS0t+B+WXJxZxtS3TgAAAABJRU5ErkJggg==\n", |
|
|
372 | 373 | "prompt_number": 16, |
|
|
373 | 374 | "text": [ |
|
|
374 | 375 | "", |
|
|
375 | 376 | " 2 4 ", |
|
|
376 | 377 | " x 5\u22c5x \u239b 6\u239e", |
|
|
377 | 378 | "1 + \u2500\u2500 + \u2500\u2500\u2500\u2500 + O\u239dx \u23a0", |
|
|
378 | 379 | " 2 24 " |
|
|
379 | 380 | ] |
|
|
380 | 381 | } |
|
|
381 | 382 | ], |
|
|
382 | 383 | "prompt_number": 16 |
|
|
383 | 384 | }, |
|
|
384 | 385 | { |
|
|
385 | 386 | "cell_type": "code", |
|
|
386 | 387 | "collapsed": false, |
|
|
387 | 388 | "input": [ |
|
|
388 | 389 | "diff(cos(x**2)**2 / (1+x), x)" |
|
|
389 | 390 | ], |
|
|
390 | 391 | "language": "python", |
|
|
391 | 392 | "outputs": [ |
|
|
392 | 393 | { |
|
|
393 | 394 | "latex": [ |
|
|
394 | 395 | "$$- 4 \\frac{x \\operatorname{sin}\\left(x^{2}\\right) \\operatorname{cos}\\left(x^{2}\\right)}{x + 1} - \\frac{\\operatorname{cos}^{2}\\left(x^{2}\\right)}{\\left(x + 1\\right)^{2}}$$" |
|
|
395 | 396 | ], |
|
|
396 | 397 | "output_type": "pyout", |
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397 | 398 | "png": "iVBORw0KGgoAAAANSUhEUgAAAMIAAAAoCAYAAACsPiXVAAAABHNCSVQICAgIfAhkiAAABhBJREFU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\nRCKRSCQWBq8BH7XPIH70GuoAAAAASUVORK5CYII=\n", |
|
|
398 | 399 | "prompt_number": 17, |
|
|
399 | 400 | "text": [ |
|
|
400 | 401 | "", |
|
|
401 | 402 | " 2 ", |
|
|
402 | 403 | " \u239b 2\u239e \u239b 2\u239e \u239b 2\u239e", |
|
|
403 | 404 | " 4\u22c5x\u22c5sin\u239dx \u23a0\u22c5cos\u239dx \u23a0 cos \u239dx \u23a0", |
|
|
404 | 405 | "- \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500", |
|
|
405 | 406 | " x + 1 2", |
|
|
406 | 407 | " (x + 1) " |
|
|
407 | 408 | ] |
|
|
408 | 409 | } |
|
|
409 | 410 | ], |
|
|
410 | 411 | "prompt_number": 17 |
|
|
411 | 412 | }, |
|
|
412 | 413 | { |
|
|
413 | 414 | "cell_type": "code", |
|
|
414 | 415 | "collapsed": false, |
|
|
415 | 416 | "input": [ |
|
|
416 | 417 | "integrate(x**2 * cos(x), (x, 0, pi/2))" |
|
|
417 | 418 | ], |
|
|
418 | 419 | "language": "python", |
|
|
419 | 420 | "outputs": [ |
|
|
420 | 421 | { |
|
|
421 | 422 | "latex": [ |
|
|
422 | 423 | "$$-2 + \\frac{1}{4} \\pi^{2}$$" |
|
|
423 | 424 | ], |
|
|
424 | 425 | "output_type": "pyout", |
|
|
425 | 426 | "png": "iVBORw0KGgoAAAANSUhEUgAAAEwAAAAfCAYAAABNjStyAAAABHNCSVQICAgIfAhkiAAAArVJREFU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\nTp1YfAdxIoFGVphKVAAAAABJRU5ErkJggg==\n", |
|
|
426 | 427 | "prompt_number": 18, |
|
|
427 | 428 | "text": [ |
|
|
428 | 429 | "", |
|
|
429 | 430 | " 2", |
|
|
430 | 431 | " \u03c0 ", |
|
|
431 | 432 | "-2 + \u2500\u2500", |
|
|
432 | 433 | " 4 " |
|
|
433 | 434 | ] |
|
|
434 | 435 | } |
|
|
435 | 436 | ], |
|
|
436 | 437 | "prompt_number": 18 |
|
|
437 | 438 | }, |
|
|
438 | 439 | { |
|
|
439 | 440 | "cell_type": "code", |
|
|
440 | 441 | "collapsed": false, |
|
|
441 | 442 | "input": [ |
|
|
442 | 443 | "eqn = Eq(Derivative(f(x),x,x) + 9*f(x), 1)", |
|
|
443 | 444 | "display(eqn)", |
|
|
444 | 445 | "dsolve(eqn, f(x))" |
|
|
445 | 446 | ], |
|
|
446 | 447 | "language": "python", |
|
|
447 | 448 | "outputs": [ |
|
|
448 | 449 | { |
|
|
449 | 450 | "latex": [ |
|
|
450 | 451 | "$$9 \\operatorname{f}\\left(x\\right) + \\frac{\\partial^{2}}{\\partial^{2} x} \\operatorname{f}\\left(x\\right) = 1$$" |
|
|
451 | 452 | ], |
|
|
452 | 453 | "output_type": "display_data", |
|
|
453 | 454 | "png": "iVBORw0KGgoAAAANSUhEUgAAAI4AAAAnCAYAAADZ7nAuAAAABHNCSVQICAgIfAhkiAAABX5JREFU\neJzt23msXGMYx/GPLrS2LmgtRbWoLV2oNlSThhCSUppIRIIgCKUICYkQRASpJZY/qglXrKlY/rFH\nLKmlliAiWmKXJmInQRX1x3Mmc2bunNnuzJ2Z2/NNTu4575z3nGd+9z3v+zzPeWYzOZUYhsvwH/7F\nss6ak9MrHIdpyf5j2KeDtnQlwzptQJcyBYuS/c+wdwdtyekhtsA2yf5z2LmDtnQlwzttQJfyL/7G\nfOHnPNNZc3K6lZ1xBU5UXL7H4MqOWZTTE4zBeBFJrU7almAkRuPIDtmV00OsErPPb/gBP+OAjlrU\nhYzotAFdyGp8jW07bUg3Uz5wJmGpmJ434HfcIZ68WuyJ67BORCVLWmdmWxmBazEL72J3fNeG+/Si\nPpPwsrA9k+3xMU5NtZ2Dp7FZjRtsLvIdZ2A5/sSWzdk66DyElSLC3FpEVKe0+B69ps9WOAqfYGOt\nk+/HT0qTghOTjifX6Htsct5UzMGhTRg7EKZrbtmdK+zeLzkufN89WmRXgU7r0wj74klcj9fUMXDW\n4a0K7T+Ip7IaN6tvOWsXfZjcRL+lWJs6vgKvtsCecjqtT7P0yRg4had0LHYS02k5X2BBjRvMUXnQ\ndTufC0eYeK2wBMe34T69qk8mhYHzC75STLOn2SnZRuCfss+WC2fyMKzBs/gUF4rcx3Opc/fD6cIx\nHCP8p0uFbzURl2McfhWDdTB4UbyTWil8jsVa+w/O0ucC4RKkNapHn68w0+BqVJM7Rc5iVKptski5\nb8SEjH5Tks8Xp9pOFI5mgd1xi6L/tBIfCeFmiwju7OSzy5qwvU9zS9VgUEkfSjVqRB+yNboH7ze4\nLahie586fJxReEOk2UeK2ecavCcijawoYHFy8SmptqVl5yxTOps9iXeS/V1FODw2OV6I/WsZW0af\n7h04lfShVKNG9KE5jZqhT8bASUdQf+FofCucuQuxQgyiz/FHxsVniixrYeocrX+5xl0iJ1RgtuIU\n/Q2uEsslMZXPqfJleo1yfeivUSP60AUalYewv+LeZCswHm9WucZMMeUVRuY4/QdZWrRp2AUvZVzv\na/2n9QL3YUaF9t2EkH9X+OxMkdjrFOX60F+jRvShukaDQq3cx17CMX6syjkzxNRa4BcxvWZxuPgH\nv55qm6oY0U1S+vSlOS2jvQ9X48sq96WO9XqAVEqUlutDdY1q6UO2RitEBrwRLsErDfYpGThniTzG\nwfg+aTtJjPwHM/pvJ572D1JtfyiNvrYQztwT+FAsh2sUn7itcT4uTo73wtuNfpE6ycqAt6vGuJI+\nlGrUqD5ka3RWS6yug/Q6+6Pw3jckx/NEOHhulf6F0V0uzDfYIdlfIJzsqcn5kxVF21ys37el+k43\n+DmPhXgcN+IQrasxztKHokYLNKYPg6fR+ORvv4g6PeM8joNwa3LicFEBt7a8U4pZwi8qF+YBEW4+\nKN42P4QjxBQ8Wzjfd4vw/2GRn4AD8bz2LynlTBGD5SbFGuM1Lbhulj4UNXpK/frQfo0m4FFR3FZ4\nublWOOS3J3YPmEdU938Giz4DC8fbVWPcLfq0nGZ+5XC2yIAS/lBLRuAA+U2kE+qlvFR0vXA254sy\ngnUDsKUb9ekKXhdizFU9TO9mKpWKtqrGeCjo0xYWibBvmXDoep1VooyiVTXGQ02fnAxuFvmhvMa4\nATbFmuOsUtFaNcbzRPQ1XSxBO4pI6FLxSiZniNNMqei24tUFnKDoF90nBlDOEKfZUtFRIhkHN4ja\nmJxNiFaUir4rwmxKSx1yhjAL8UKyv7fI19RTnnAMLhJJxvXCTxqG81pvYm9Q62cvQ43RIm0+RhSm\nXae+XMvp4lXAp2LQ/JVsT4h3fDk5OTk5OTk5OTk5myr/A6A8U1gkaI7IAAAAAElFTkSuQmCC\n", |
|
|
454 | 455 | "text": [ |
|
|
455 | 456 | "", |
|
|
456 | 457 | " 2 ", |
|
|
457 | 458 | " d ", |
|
|
458 | 459 | "9\u22c5f(x) + \u2500\u2500\u2500(f(x)) = 1", |
|
|
459 | 460 | " 2 ", |
|
|
460 | 461 | " dx " |
|
|
461 | 462 | ] |
|
|
462 | 463 | }, |
|
|
463 | 464 | { |
|
|
464 | 465 | "latex": [ |
|
|
465 | 466 | "$$\\operatorname{f}\\left(x\\right) = C_{1} \\operatorname{sin}\\left(3 x\\right) + C_{2} \\operatorname{cos}\\left(3 x\\right) + \\frac{1}{9}$$" |
|
|
466 | 467 | ], |
|
|
467 | 468 | "output_type": "pyout", |
|
|
468 | 469 | "png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAAeCAYAAAAl8At9AAAABHNCSVQICAgIfAhkiAAACFtJREFU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\n", |
|
|
469 | 470 | "prompt_number": 19, |
|
|
470 | 471 | "text": [ |
|
|
471 | 472 | "f(x) = C\u2081\u22c5sin(3\u22c5x) + C\u2082\u22c5cos(3\u22c5x) + 1/9" |
|
|
472 | 473 | ] |
|
|
473 | 474 | } |
|
|
474 | 475 | ], |
|
|
475 | 476 | "prompt_number": 19 |
|
|
476 | 477 | }, |
|
|
477 | 478 | { |
|
|
478 | 479 | "cell_type": "markdown", |
|
|
479 | 480 | "source": [ |
|
|
480 | 481 | "# Illustrating Taylor series", |
|
|
481 | 482 | "", |
|
|
482 | 483 | "We will define a function to compute the Taylor series expansions of a symbolically defined expression at", |
|
|
483 | 484 | "various orders and visualize all the approximations together with the original function" |
|
|
484 | 485 | ] |
|
|
485 | 486 | }, |
|
|
486 | 487 | { |
|
|
487 | 488 | "cell_type": "code", |
|
|
488 | 489 | "collapsed": true, |
|
|
489 | 490 | "input": [ |
|
|
490 | 491 | "# You can change the default figure size to be a bit larger if you want,", |
|
|
491 | 492 | "# uncomment the next line for that:", |
|
|
492 | 493 | "#plt.rc('figure', figsize=(10, 6))" |
|
|
493 | 494 | ], |
|
|
494 | 495 | "language": "python", |
|
|
495 | 496 | "outputs": [], |
|
|
496 | 497 | "prompt_number": 20 |
|
|
497 | 498 | }, |
|
|
498 | 499 | { |
|
|
499 | 500 | "cell_type": "code", |
|
|
500 | 501 | "collapsed": true, |
|
|
501 | 502 | "input": [ |
|
|
502 | 503 | "def plot_taylor_approximations(func, x0=None, orders=(2, 4), xrange=(0,1), yrange=None, npts=200):", |
|
|
503 | 504 | " \"\"\"Plot the Taylor series approximations to a function at various orders.", |
|
|
504 | 505 | "", |
|
|
505 | 506 | " Parameters", |
|
|
506 | 507 | " ----------", |
|
|
507 | 508 | " func : a sympy function", |
|
|
508 | 509 | " x0 : float", |
|
|
509 | 510 | " Origin of the Taylor series expansion. If not given, x0=xrange[0].", |
|
|
510 | 511 | " orders : list", |
|
|
511 | 512 | " List of integers with the orders of Taylor series to show. Default is (2, 4).", |
|
|
512 | 513 | " xrange : 2-tuple or array.", |
|
|
513 | 514 | " Either an (xmin, xmax) tuple indicating the x range for the plot (default is (0, 1)),", |
|
|
514 | 515 | " or the actual array of values to use.", |
|
|
515 | 516 | " yrange : 2-tuple", |
|
|
516 | 517 | " (ymin, ymax) tuple indicating the y range for the plot. If not given,", |
|
|
517 | 518 | " the full range of values will be automatically used. ", |
|
|
518 | 519 | " npts : int", |
|
|
519 | 520 | " Number of points to sample the x range with. Default is 200.", |
|
|
520 | 521 | " \"\"\"", |
|
|
521 | 522 | " if not callable(func):", |
|
|
522 | 523 | " raise ValueError('func must be callable')", |
|
|
523 | 524 | " if isinstance(xrange, (list, tuple)):", |
|
|
524 | 525 | " x = np.linspace(float(xrange[0]), float(xrange[1]), npts)", |
|
|
525 | 526 | " else:", |
|
|
526 | 527 | " x = xrange", |
|
|
527 | 528 | " if x0 is None: x0 = x[0]", |
|
|
528 | 529 | " xs = sym.Symbol('x')", |
|
|
529 | 530 | " # Make a numpy-callable form of the original function for plotting", |
|
|
530 | 531 | " fx = func(xs)", |
|
|
531 | 532 | " f = sym.lambdify(xs, fx, modules=['numpy'])", |
|
|
532 | 533 | " # We could use latex(fx) instead of str(), but matploblib gets confused", |
|
|
533 | 534 | " # with some of the (valid) latex constructs sympy emits. So we play it safe.", |
|
|
534 | 535 | " plot(x, f(x), label=str(fx), lw=2)", |
|
|
535 | 536 | " # Build the Taylor approximations, plotting as we go", |
|
|
536 | 537 | " apps = {}", |
|
|
537 | 538 | " for order in orders:", |
|
|
538 | 539 | " app = fx.series(xs, x0, n=order).removeO()", |
|
|
539 | 540 | " apps[order] = app", |
|
|
540 | 541 | " # Must be careful here: if the approximation is a constant, we can't", |
|
|
541 | 542 | " # blindly use lambdify as it won't do the right thing. In that case, ", |
|
|
542 | 543 | " # evaluate the number as a float and fill the y array with that value.", |
|
|
543 | 544 | " if isinstance(app, sym.numbers.Number):", |
|
|
544 | 545 | " y = np.zeros_like(x)", |
|
|
545 | 546 | " y.fill(app.evalf())", |
|
|
546 | 547 | " else:", |
|
|
547 | 548 | " fa = sym.lambdify(xs, app, modules=['numpy'])", |
|
|
548 | 549 | " y = fa(x)", |
|
|
549 | 550 | " tex = sym.latex(app).replace('$', '')", |
|
|
550 | 551 | " plot(x, y, label=r'$n=%s:\\, %s$' % (order, tex) )", |
|
|
551 | 552 | " ", |
|
|
552 | 553 | " # Plot refinements", |
|
|
553 | 554 | " if yrange is not None:", |
|
|
554 | 555 | " plt.ylim(*yrange)", |
|
|
555 | 556 | " grid()", |
|
|
556 | 557 | " legend(loc='best').get_frame().set_alpha(0.8)" |
|
|
557 | 558 | ], |
|
|
558 | 559 | "language": "python", |
|
|
559 | 560 | "outputs": [], |
|
|
560 | 561 | "prompt_number": 21 |
|
|
561 | 562 | }, |
|
|
562 | 563 | { |
|
|
563 | 564 | "cell_type": "markdown", |
|
|
564 | 565 | "source": [ |
|
|
565 | 566 | "With this function defined, we can now use it for any sympy function or expression" |
|
|
566 | 567 | ] |
|
|
567 | 568 | }, |
|
|
568 | 569 | { |
|
|
569 | 570 | "cell_type": "code", |
|
|
570 | 571 | "collapsed": false, |
|
|
571 | 572 | "input": [ |
|
|
572 | 573 | "plot_taylor_approximations(sin, 0, [2, 4, 6], (0, 2*pi), (-2,2))" |
|
|
573 | 574 | ], |
|
|
574 | 575 | "language": "python", |
|
|
575 | 576 | "outputs": [ |
|
|
576 | 577 | { |
|
|
577 | 578 | "output_type": "display_data", |
|
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578 | 579 | "png": 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MwoMQYO5cIDSUbroyMlKom7t3aZROTAzQqBGwaxcwaBB1dx1NTcUPT5/Crn59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\nfgk2a5wJG34AAAAASUVORK5CYII=\n" |
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579 | 580 | } |
|
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580 | 581 | ], |
|
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581 | 582 | "prompt_number": 22 |
|
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582 | 583 | }, |
|
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583 | 584 | { |
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584 | 585 | "cell_type": "code", |
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585 | 586 | "collapsed": false, |
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586 | 587 | "input": [ |
|
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587 | 588 | "plot_taylor_approximations(cos, 0, [2, 4, 6], (0, 2*pi), (-2,2))" |
|
|
588 | 589 | ], |
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589 | 590 | "language": "python", |
|
|
590 | 591 | "outputs": [ |
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591 | 592 | { |
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592 | 593 | "output_type": "display_data", |
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593 | 594 | "png": 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4q3ZtmpQtq7YUq+fyZejXD5KTlTN6c+eqrUhSGMhcN9bOqlXKqamjR3Ot2SaE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\n" |
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594 | 595 | } |
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595 | 596 | ], |
|
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596 | 597 | "prompt_number": 23 |
|
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597 | 598 | }, |
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598 | 599 | { |
|
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599 | 600 | "cell_type": "markdown", |
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600 | 601 | "source": [ |
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601 | 602 | "This shows easily how a Taylor series is useless beyond its convergence radius, illustrated by ", |
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602 | 603 | "a simple function that has singularities on the real axis:" |
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603 | 604 | ] |
|
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604 | 605 | }, |
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605 | 606 | { |
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606 | 607 | "cell_type": "code", |
|
|
607 | 608 | "collapsed": false, |
|
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608 | 609 | "input": [ |
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609 | 610 | "# For an expression made from elementary functions, we must first make it into", |
|
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610 | 611 | "# a callable function, the simplest way is to use the Python lambda construct.", |
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611 | 612 | "plot_taylor_approximations(lambda x: 1/cos(x), 0, [2,4,6], (0, 2*pi), (-5,5))" |
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612 | 613 | ], |
|
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613 | 614 | "language": "python", |
|
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614 | 615 | "outputs": [ |
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615 | 616 | { |
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616 | 617 | "output_type": "display_data", |
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617 | 618 | "png": 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Dd+wA7tyRrlyOZfAAbgZTPlpMDD2OGUODeFm2ZGbiUG4ulolIS//E1HCDAZg/n5rrP/wA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\nIQwG86sqpdRfVsvmzZslK7cy5H7+1mK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|
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618 | 619 | } |
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619 | 620 | ], |
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620 | 621 | "prompt_number": 24 |
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621 | 622 | } |
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622 | 623 | ] |
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623 | 624 | } |
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624 | 625 | ] |
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625 | 626 | } No newline at end of file |
| @@ -1,119 +1,118 b'' | |||
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1 | 1 | { |
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2 | 2 | "metadata": { |
|
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3 | 3 | "name": "trapezoid_rule" |
|
|
4 | 4 | }, |
|
|
5 | 5 | "nbformat": 2, |
|
|
6 | 6 | "worksheets": [ |
|
|
7 | 7 | { |
|
|
8 | 8 | "cells": [ |
|
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9 | 9 | { |
|
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10 | 10 | "cell_type": "markdown", |
|
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11 | 11 | "source": [ |
|
|
12 | 12 | "Basic numerical integration: the trapezoid rule", |
|
|
13 | 13 | "===============================================", |
|
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14 | 14 | "", |
|
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15 | 15 | "A simple illustration of the trapezoid rule for definite integration:", |
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16 | 16 | "", |
|
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17 | 17 | "$$", |
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18 | 18 | "\\int_{a}^{b} f(x)\\, dx \\approx \\frac{1}{2} \\sum_{k=1}^{N} \\left( x_{k} - x_{k-1} \\right) \\left( f(x_{k}) + f(x_{k-1}) \\right).", |
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19 | 19 | "$$", |
|
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20 | 20 | "<br>", |
|
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21 | 21 | "First, we define a simple function and sample it between 0 and 10 at 200 points" |
|
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22 | 22 | ] |
|
|
23 | 23 | }, |
|
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24 | 24 | { |
|
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25 | 25 | "cell_type": "code", |
|
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26 | 26 | "collapsed": true, |
|
|
27 | 27 | "input": [ |
|
|
28 | 28 | "def f(x):", |
|
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29 | 29 | " return (x-3)*(x-5)*(x-7)+85", |
|
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30 | 30 | "", |
|
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31 | 31 | "x = linspace(0, 10, 200)", |
|
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32 | 32 | "y = f(x)" |
|
|
33 | 33 | ], |
|
|
34 | 34 | "language": "python", |
|
|
35 | 35 | "outputs": [], |
|
|
36 | 36 | "prompt_number": 1 |
|
|
37 | 37 | }, |
|
|
38 | 38 | { |
|
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39 | 39 | "cell_type": "markdown", |
|
|
40 | 40 | "source": [ |
|
|
41 | 41 | "Choose a region to integrate over and take only a few points in that region" |
|
|
42 | 42 | ] |
|
|
43 | 43 | }, |
|
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44 | 44 | { |
|
|
45 | 45 | "cell_type": "code", |
|
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46 | 46 | "collapsed": true, |
|
|
47 | 47 | "input": [ |
|
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48 | 48 | "a, b = 1, 9", |
|
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49 | 49 | "xint = x[logical_and(x>=a, x<=b)][::30]", |
|
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50 | 50 | "yint = y[logical_and(x>=a, x<=b)][::30]" |
|
|
51 | 51 | ], |
|
|
52 | 52 | "language": "python", |
|
|
53 | 53 | "outputs": [], |
|
|
54 | 54 | "prompt_number": 2 |
|
|
55 | 55 | }, |
|
|
56 | 56 | { |
|
|
57 | 57 | "cell_type": "markdown", |
|
|
58 | 58 | "source": [ |
|
|
59 | 59 | "Plot both the function and the area below it in the trapezoid approximation" |
|
|
60 | 60 | ] |
|
|
61 | 61 | }, |
|
|
62 | 62 | { |
|
|
63 | 63 | "cell_type": "code", |
|
|
64 | 64 | "collapsed": false, |
|
|
65 | 65 | "input": [ |
|
|
66 | 66 | "plot(x, y, lw=2)", |
|
|
67 | 67 | "axis([0, 10, 0, 140])", |
|
|
68 | 68 | "fill_between(xint, 0, yint, facecolor='gray', alpha=0.4)", |
|
|
69 | 69 | "text(0.5 * (a + b), 30,r\"$\\int_a^b f(x)dx$\", horizontalalignment='center', fontsize=20);" |
|
|
70 | 70 | ], |
|
|
71 | 71 | "language": "python", |
|
|
72 | 72 | "outputs": [ |
|
|
73 | 73 | { |
|
|
74 | 74 | "output_type": "display_data", |
|
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75 | 75 | "png": 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x4gTLli3jm2++qXlAjabOXwLmrrwcRo1Sxmh/4gnYvr2q22NZWRmbNm3CysqK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\nAElFTkSuQmCC\n" |
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|
76 | 76 | } |
|
|
77 | 77 | ], |
|
|
78 | 78 | "prompt_number": 3 |
|
|
79 | 79 | }, |
|
|
80 | 80 | { |
|
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81 | 81 | "cell_type": "markdown", |
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82 | 82 | "source": [ |
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83 | 83 | "Compute the integral both at high accuracy and with the trapezoid approximation" |
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|
84 | 84 | ] |
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|
85 | 85 | }, |
|
|
86 | 86 | { |
|
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87 | 87 | "cell_type": "code", |
|
|
88 | 88 | "collapsed": false, |
|
|
89 | 89 | "input": [ |
|
|
90 | 90 | "from scipy.integrate import quad, trapz", |
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91 | 91 | "integral, error = quad(f, 1, 9)", |
|
|
92 | 92 | "print \"The integral is:\", integral, \"+/-\", error", |
|
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93 | 93 | "print \"The trapezoid approximation with\", len(xint), \"points is:\", trapz(yint, xint)" |
|
|
94 | 94 | ], |
|
|
95 | 95 | "language": "python", |
|
|
96 | 96 | "outputs": [ |
|
|
97 | 97 | { |
|
|
98 | 98 | "output_type": "stream", |
|
|
99 | 99 | "stream": "stdout", |
|
|
100 | 100 | "text": [ |
|
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101 | 101 | "The integral is: 680.0 +/- 7.54951656745e-12", |
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102 | 102 | "The trapezoid approximation with 6 points is: 621.286411141" |
|
|
103 | 103 | ] |
|
|
104 | 104 | } |
|
|
105 | 105 | ], |
|
|
106 | 106 | "prompt_number": 4 |
|
|
107 | 107 | }, |
|
|
108 | 108 | { |
|
|
109 | 109 | "cell_type": "code", |
|
|
110 | 110 | "collapsed": true, |
|
|
111 | 111 | "input": [], |
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|
112 | 112 | "language": "python", |
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|
113 |
"outputs": [] |
|
|
|
114 | "prompt_number": " " | |
|
|
113 | "outputs": [] | |
|
|
115 | 114 | } |
|
|
116 | 115 | ] |
|
|
117 | 116 | } |
|
|
118 | 117 | ] |
|
|
119 | 118 | } No newline at end of file |
| @@ -1,65 +1,92 b'' | |||
|
|
1 | 1 | { |
|
|
2 | "nbformat": 2, | |
|
|
3 | "metadata": { | |
|
|
4 | "name": "helloworld" | |
|
|
2 | "metadata": { | |
|
|
3 | "name": "helloworld" | |
|
|
4 | }, | |
|
|
5 | "nbformat": 2, | |
|
|
6 | "worksheets": [ | |
|
|
7 | { | |
|
|
8 | "cells": [ | |
|
|
9 | { | |
|
|
10 | "cell_type": "markdown", | |
|
|
11 | "source": [ | |
|
|
12 | "# Distributed hello world", | |
|
|
13 | "", | |
|
|
14 | "Originally by Ken Kinder (ken at kenkinder dom com)" | |
|
|
15 | ] | |
|
|
5 | 16 | }, |
|
|
6 | "worksheets": [ | |
|
|
7 | { | |
|
|
8 | "cells": [ | |
|
|
9 | { | |
|
|
10 | "source": "# Distributed hello world\n\nOriginally by Ken Kinder (ken at kenkinder dom com)", | |
|
|
11 | "cell_type": "markdown" | |
|
|
12 | }, | |
|
|
13 | { | |
|
|
14 | "cell_type": "code", | |
|
|
15 | "language": "python", | |
|
|
16 | "outputs": [], | |
|
|
17 | "collapsed": true, | |
|
|
18 | "prompt_number": 3, | |
|
|
19 | "input": "from IPython.parallel import Client" | |
|
|
20 | }, | |
|
|
21 | { | |
|
|
22 | "cell_type": "code", | |
|
|
23 |
|
|
|
|
24 |
|
|
|
|
25 | "collapsed": true, | |
|
|
26 | "prompt_number": 4, | |
|
|
27 | "input": "rc = Client()\nview = rc.load_balanced_view()" | |
|
|
28 | }, | |
|
|
29 | { | |
|
|
30 | "cell_type": "code", | |
|
|
31 | "language": "python", | |
|
|
32 | "outputs": [], | |
|
|
33 | "collapsed": true, | |
|
|
34 | "prompt_number": 5, | |
|
|
35 | "input": "def sleep_and_echo(t, msg):\n import time\n time.sleep(t)\n return msg" | |
|
|
36 | }, | |
|
|
37 | { | |
|
|
38 | "cell_type": "code", | |
|
|
39 | "language": "python", | |
|
|
40 | "outputs": [], | |
|
|
41 | "collapsed": true, | |
|
|
42 | "prompt_number": 6, | |
|
|
43 | "input": "world = view.apply_async(sleep_and_echo, 3, 'World!')\nhello = view.apply_async(sleep_and_echo, 2, 'Hello')\n" | |
|
|
44 | }, | |
|
|
45 | { | |
|
|
46 | "cell_type": "code", | |
|
|
47 |
|
|
|
|
48 |
|
|
|
|
49 | { | |
|
|
50 | "output_type": "stream", | |
|
|
51 | "text": "Submitted tasks: ['9e533683-d54e-4588-929e-984dd3eb6dc4'] ['90395f15-723f-44df-a743-a5d88cdeb6a0']\nHello" | |
|
|
52 | }, | |
|
|
53 | { | |
|
|
54 | "output_type": "stream", | |
|
|
55 | "text": "World!" | |
|
|
56 | } | |
|
|
57 | ], | |
|
|
58 | "collapsed": false, | |
|
|
59 | "prompt_number": 7, | |
|
|
60 | "input": "print \"Submitted tasks:\", hello.msg_ids, world.msg_ids\nprint hello.get(), world.get()" | |
|
|
61 | } | |
|
|
62 | ] | |
|
|
63 |
|
|
|
|
64 | ] | |
|
|
17 | { | |
|
|
18 | "cell_type": "code", | |
|
|
19 | "collapsed": true, | |
|
|
20 | "input": [ | |
|
|
21 | "from IPython.parallel import Client" | |
|
|
22 | ], | |
|
|
23 | "language": "python", | |
|
|
24 | "outputs": [], | |
|
|
25 | "prompt_number": 1 | |
|
|
26 | }, | |
|
|
27 | { | |
|
|
28 | "cell_type": "code", | |
|
|
29 | "collapsed": true, | |
|
|
30 | "input": [ | |
|
|
31 | "rc = Client()", | |
|
|
32 | "view = rc.load_balanced_view()" | |
|
|
33 | ], | |
|
|
34 | "language": "python", | |
|
|
35 | "outputs": [], | |
|
|
36 | "prompt_number": 2 | |
|
|
37 | }, | |
|
|
38 | { | |
|
|
39 | "cell_type": "code", | |
|
|
40 | "collapsed": true, | |
|
|
41 | "input": [ | |
|
|
42 | "def sleep_and_echo(t, msg):", | |
|
|
43 | " import time", | |
|
|
44 | " time.sleep(t)", | |
|
|
45 | " return msg" | |
|
|
46 | ], | |
|
|
47 | "language": "python", | |
|
|
48 | "outputs": [], | |
|
|
49 | "prompt_number": 3 | |
|
|
50 | }, | |
|
|
51 | { | |
|
|
52 | "cell_type": "code", | |
|
|
53 | "collapsed": true, | |
|
|
54 | "input": [ | |
|
|
55 | "world = view.apply_async(sleep_and_echo, 3, 'World!')", | |
|
|
56 | "hello = view.apply_async(sleep_and_echo, 2, 'Hello')" | |
|
|
57 | ], | |
|
|
58 | "language": "python", | |
|
|
59 | "outputs": [], | |
|
|
60 | "prompt_number": 4 | |
|
|
61 | }, | |
|
|
62 | { | |
|
|
63 | "cell_type": "code", | |
|
|
64 | "collapsed": false, | |
|
|
65 | "input": [ | |
|
|
66 | "print \"Submitted tasks:\", hello.msg_ids, world.msg_ids", | |
|
|
67 | "print hello.get(), world.get()" | |
|
|
68 | ], | |
|
|
69 | "language": "python", | |
|
|
70 | "outputs": [ | |
|
|
71 | { | |
|
|
72 | "output_type": "stream", | |
|
|
73 | "stream": "stdout", | |
|
|
74 | "text": [ | |
|
|
75 | "Submitted tasks: ['dd1052e0-aa75-4b25-9d35-ecbdaf6e3ed7'] ['1b46aa21-20d1-459c-bc36-2d8d03336f74']", | |
|
|
76 | "Hello" | |
|
|
77 | ] | |
|
|
78 | }, | |
|
|
79 | { | |
|
|
80 | "output_type": "stream", | |
|
|
81 | "stream": "stdout", | |
|
|
82 | "text": [ | |
|
|
83 | " World!" | |
|
|
84 | ] | |
|
|
85 | } | |
|
|
86 | ], | |
|
|
87 | "prompt_number": 5 | |
|
|
88 | } | |
|
|
89 | ] | |
|
|
90 | } | |
|
|
91 | ] | |
|
|
65 | 92 | } No newline at end of file |
| @@ -1,139 +1,224 b'' | |||
|
|
1 | 1 | { |
|
|
2 | "worksheets": [ | |
|
|
3 | { | |
|
|
4 | "cells": [ | |
|
|
5 | { | |
|
|
6 | "source": "# Simple usage of a set of MPI engines\n\nThis example assumes you've started a cluster of N engines (4 in this example) as part\nof an MPI world. \n\nOur documentation describes [how to create an MPI profile](http://ipython.org/ipython-doc/dev/parallel/parallel_process.html#using-ipcluster-in-mpiexec-mpirun-mode)\nand explains [basic MPI usage of the IPython cluster](http://ipython.org/ipython-doc/dev/parallel/parallel_mpi.html).\n\n\nFor the simplest possible way to start 4 engines that belong to the same MPI world, \nyou can run this in a terminal or antoher notebook:\n\n<pre>\nipcluster start --engines=MPIExecEngineSetLauncher -n 4\n</pre>\n\nNote: to run the above in a notebook, use a *new* notebook and prepend the command with `!`, but do not run\nit in *this* notebook, as this command will block until you shut down the cluster. To stop the cluster, use \nthe 'Interrupt' button on the left, which is the equivalent of sending `Ctrl-C` to the kernel.\n\nOnce the cluster is running, we can connect to it and open a view into it:", | |
|
|
7 | "cell_type": "markdown" | |
|
|
8 | }, | |
|
|
9 | { | |
|
|
10 |
|
|
|
|
11 | "language": "python", | |
|
|
12 | "outputs": [], | |
|
|
13 | "collapsed": true, | |
|
|
14 | "prompt_number": 21, | |
|
|
15 | "input": "from IPython.parallel import Client\nc = Client()\nview = c[:]" | |
|
|
16 | }, | |
|
|
17 | { | |
|
|
18 | "source": "Let's define a simple function that ", | |
|
|
19 | "cell_type": "markdown" | |
|
|
20 | }, | |
|
|
21 | { | |
|
|
22 | "cell_type": "code", | |
|
|
23 | "language": "python", | |
|
|
24 | "outputs": [], | |
|
|
25 | "collapsed": true, | |
|
|
26 | "prompt_number": 22, | |
|
|
27 | "input": "@view.remote(block=True)\ndef mpi_rank():\n from mpi4py import MPI\n comm = MPI.COMM_WORLD\n return comm.Get_rank()" | |
|
|
28 | }, | |
|
|
29 | { | |
|
|
30 | "cell_type": "code", | |
|
|
31 | "language": "python", | |
|
|
32 | "outputs": [ | |
|
|
33 | { | |
|
|
34 | "output_type": "pyout", | |
|
|
35 | "prompt_number": 23, | |
|
|
36 | "text": "[3, 0, 2, 1]" | |
|
|
37 | } | |
|
|
38 | ], | |
|
|
39 | "collapsed": false, | |
|
|
40 | "prompt_number": 23, | |
|
|
41 | "input": "mpi_rank()" | |
|
|
42 | }, | |
|
|
43 | { | |
|
|
44 | "source": "For interactive convenience, we load the parallel magic extensions and make this view\nthe active one for the automatic parallelism magics.\n\nThis is not necessary and in production codes likely won't be used, as the engines will \nload their own MPI codes separately. But it makes it easy to illustrate everything from\nwithin a single notebook here.", | |
|
|
45 | "cell_type": "markdown" | |
|
|
46 | }, | |
|
|
47 | { | |
|
|
48 | "cell_type": "code", | |
|
|
49 | "language": "python", | |
|
|
50 | "outputs": [], | |
|
|
51 | "collapsed": true, | |
|
|
52 | "prompt_number": 4, | |
|
|
53 | "input": "%load_ext parallelmagic\nview.activate()" | |
|
|
54 | }, | |
|
|
55 | { | |
|
|
56 | "source": "Use the autopx magic to make the rest of this cell execute on the engines instead\nof locally", | |
|
|
57 | "cell_type": "markdown" | |
|
|
58 | }, | |
|
|
59 | { | |
|
|
60 | "cell_type": "code", | |
|
|
61 | "language": "python", | |
|
|
62 | "outputs": [], | |
|
|
63 | "collapsed": true, | |
|
|
64 | "prompt_number": 24, | |
|
|
65 | "input": "view.block = True" | |
|
|
66 | }, | |
|
|
67 | { | |
|
|
68 | "cell_type": "code", | |
|
|
69 | "language": "python", | |
|
|
70 | "outputs": [ | |
|
|
71 | { | |
|
|
72 | "output_type": "stream", | |
|
|
73 | "stream": "stdout", | |
|
|
74 | "text": "%autopx enabled\n\n" | |
|
|
75 | } | |
|
|
76 | ], | |
|
|
77 | "collapsed": false, | |
|
|
78 | "prompt_number": 32, | |
|
|
79 | "input": "%autopx" | |
|
|
80 | }, | |
|
|
81 | { | |
|
|
82 | "source": "With autopx enabled, the next cell will actually execute *entirely on each engine*:", | |
|
|
83 | "cell_type": "markdown" | |
|
|
84 | }, | |
|
|
85 | { | |
|
|
86 | "cell_type": "code", | |
|
|
87 | "language": "python", | |
|
|
88 | "outputs": [], | |
|
|
89 | "collapsed": true, | |
|
|
90 | "prompt_number": 29, | |
|
|
91 | "input": "from mpi4py import MPI\n\ncomm = MPI.COMM_WORLD\nsize = comm.Get_size()\nrank = comm.Get_rank()\n\nif rank == 0:\n data = [(i+1)**2 for i in range(size)]\nelse:\n data = None\ndata = comm.scatter(data, root=0)\n\nassert data == (rank+1)**2, 'data=%s, rank=%s' % (data, rank)" | |
|
|
92 | }, | |
|
|
93 | { | |
|
|
94 | "source": "Though the assertion at the end of the previous block validated the code, we can now \npull the 'data' variable from all the nodes for local inspection.\nFirst, don't forget to toggle off `autopx` mode so code runs again in the notebook:\n", | |
|
|
95 | "cell_type": "markdown" | |
|
|
96 | }, | |
|
|
97 | { | |
|
|
98 | "cell_type": "code", | |
|
|
99 | "language": "python", | |
|
|
100 | "outputs": [ | |
|
|
101 | { | |
|
|
102 | "output_type": "stream", | |
|
|
103 | "stream": "stdout", | |
|
|
104 | "text": "%autopx disabled\n\n" | |
|
|
105 | } | |
|
|
106 | ], | |
|
|
107 | "collapsed": false, | |
|
|
108 | "prompt_number": 33, | |
|
|
109 | "input": "%autopx" | |
|
|
110 | }, | |
|
|
111 | { | |
|
|
112 | "cell_type": "code", | |
|
|
113 | "language": "python", | |
|
|
114 | "outputs": [ | |
|
|
115 | { | |
|
|
116 | "output_type": "pyout", | |
|
|
117 | "prompt_number": 34, | |
|
|
118 | "text": "[16, 1, 9, 4]" | |
|
|
119 | } | |
|
|
120 | ], | |
|
|
121 | "collapsed": false, | |
|
|
122 | "prompt_number": 34, | |
|
|
123 | "input": "view['data']" | |
|
|
124 | }, | |
|
|
125 | { | |
|
|
126 | "input": "", | |
|
|
127 | "cell_type": "code", | |
|
|
128 | "collapsed": true, | |
|
|
129 | "language": "python", | |
|
|
130 | "outputs": [] | |
|
|
131 | } | |
|
|
132 | ] | |
|
|
133 | } | |
|
|
134 | ], | |
|
|
135 | "metadata": { | |
|
|
136 | "name": "parallel_mpi" | |
|
|
2 | "metadata": { | |
|
|
3 | "name": "parallel_mpi" | |
|
|
4 | }, | |
|
|
5 | "nbformat": 2, | |
|
|
6 | "worksheets": [ | |
|
|
7 | { | |
|
|
8 | "cells": [ | |
|
|
9 | { | |
|
|
10 | "cell_type": "markdown", | |
|
|
11 | "source": [ | |
|
|
12 | "# Simple usage of a set of MPI engines", | |
|
|
13 | "", | |
|
|
14 | "This example assumes you've started a cluster of N engines (4 in this example) as part", | |
|
|
15 | "of an MPI world. ", | |
|
|
16 | "", | |
|
|
17 | "Our documentation describes [how to create an MPI profile](http://ipython.org/ipython-doc/dev/parallel/parallel_process.html#using-ipcluster-in-mpiexec-mpirun-mode)", | |
|
|
18 | "and explains [basic MPI usage of the IPython cluster](http://ipython.org/ipython-doc/dev/parallel/parallel_mpi.html).", | |
|
|
19 | "", | |
|
|
20 | "", | |
|
|
21 | "For the simplest possible way to start 4 engines that belong to the same MPI world, ", | |
|
|
22 | "you can run this in a terminal or antoher notebook:", | |
|
|
23 | "", | |
|
|
24 | "<pre>", | |
|
|
25 | "ipcluster start --engines=MPI -n 4", | |
|
|
26 | "</pre>", | |
|
|
27 | "", | |
|
|
28 | "Note: to run the above in a notebook, use a *new* notebook and prepend the command with `!`, but do not run", | |
|
|
29 | "it in *this* notebook, as this command will block until you shut down the cluster. To stop the cluster, use ", | |
|
|
30 | "the 'Interrupt' button on the left, which is the equivalent of sending `Ctrl-C` to the kernel.", | |
|
|
31 | "", | |
|
|
32 | "Once the cluster is running, we can connect to it and open a view into it:" | |
|
|
33 | ] | |
|
|
137 | 34 | }, |
|
|
138 | "nbformat": 2 | |
|
|
35 | { | |
|
|
36 | "cell_type": "code", | |
|
|
37 | "collapsed": true, | |
|
|
38 | "input": [ | |
|
|
39 | "from IPython.parallel import Client", | |
|
|
40 | "c = Client()", | |
|
|
41 | "view = c[:]" | |
|
|
42 | ], | |
|
|
43 | "language": "python", | |
|
|
44 | "outputs": [], | |
|
|
45 | "prompt_number": 21 | |
|
|
46 | }, | |
|
|
47 | { | |
|
|
48 | "cell_type": "markdown", | |
|
|
49 | "source": [ | |
|
|
50 | "Let's define a simple function that gets the MPI rank from each engine." | |
|
|
51 | ] | |
|
|
52 | }, | |
|
|
53 | { | |
|
|
54 | "cell_type": "code", | |
|
|
55 | "collapsed": true, | |
|
|
56 | "input": [ | |
|
|
57 | "@view.remote(block=True)", | |
|
|
58 | "def mpi_rank():", | |
|
|
59 | " from mpi4py import MPI", | |
|
|
60 | " comm = MPI.COMM_WORLD", | |
|
|
61 | " return comm.Get_rank()" | |
|
|
62 | ], | |
|
|
63 | "language": "python", | |
|
|
64 | "outputs": [], | |
|
|
65 | "prompt_number": 22 | |
|
|
66 | }, | |
|
|
67 | { | |
|
|
68 | "cell_type": "code", | |
|
|
69 | "collapsed": false, | |
|
|
70 | "input": [ | |
|
|
71 | "mpi_rank()" | |
|
|
72 | ], | |
|
|
73 | "language": "python", | |
|
|
74 | "outputs": [ | |
|
|
75 | { | |
|
|
76 | "output_type": "pyout", | |
|
|
77 | "prompt_number": 23, | |
|
|
78 | "text": [ | |
|
|
79 | "[3, 0, 2, 1]" | |
|
|
80 | ] | |
|
|
81 | } | |
|
|
82 | ], | |
|
|
83 | "prompt_number": 23 | |
|
|
84 | }, | |
|
|
85 | { | |
|
|
86 | "cell_type": "markdown", | |
|
|
87 | "source": [ | |
|
|
88 | "For interactive convenience, we load the parallel magic extensions and make this view", | |
|
|
89 | "the active one for the automatic parallelism magics.", | |
|
|
90 | "", | |
|
|
91 | "This is not necessary and in production codes likely won't be used, as the engines will ", | |
|
|
92 | "load their own MPI codes separately. But it makes it easy to illustrate everything from", | |
|
|
93 | "within a single notebook here." | |
|
|
94 | ] | |
|
|
95 | }, | |
|
|
96 | { | |
|
|
97 | "cell_type": "code", | |
|
|
98 | "collapsed": true, | |
|
|
99 | "input": [ | |
|
|
100 | "%load_ext parallelmagic", | |
|
|
101 | "view.activate()" | |
|
|
102 | ], | |
|
|
103 | "language": "python", | |
|
|
104 | "outputs": [], | |
|
|
105 | "prompt_number": 4 | |
|
|
106 | }, | |
|
|
107 | { | |
|
|
108 | "cell_type": "markdown", | |
|
|
109 | "source": [ | |
|
|
110 | "Use the autopx magic to make the rest of this cell execute on the engines instead", | |
|
|
111 | "of locally" | |
|
|
112 | ] | |
|
|
113 | }, | |
|
|
114 | { | |
|
|
115 | "cell_type": "code", | |
|
|
116 | "collapsed": true, | |
|
|
117 | "input": [ | |
|
|
118 | "view.block = True" | |
|
|
119 | ], | |
|
|
120 | "language": "python", | |
|
|
121 | "outputs": [], | |
|
|
122 | "prompt_number": 24 | |
|
|
123 | }, | |
|
|
124 | { | |
|
|
125 | "cell_type": "code", | |
|
|
126 | "collapsed": false, | |
|
|
127 | "input": [ | |
|
|
128 | "%autopx" | |
|
|
129 | ], | |
|
|
130 | "language": "python", | |
|
|
131 | "outputs": [ | |
|
|
132 | { | |
|
|
133 | "output_type": "stream", | |
|
|
134 | "stream": "stdout", | |
|
|
135 | "text": [ | |
|
|
136 | "%autopx enabled" | |
|
|
137 | ] | |
|
|
138 | } | |
|
|
139 | ], | |
|
|
140 | "prompt_number": 32 | |
|
|
141 | }, | |
|
|
142 | { | |
|
|
143 | "cell_type": "markdown", | |
|
|
144 | "source": [ | |
|
|
145 | "With autopx enabled, the next cell will actually execute *entirely on each engine*:" | |
|
|
146 | ] | |
|
|
147 | }, | |
|
|
148 | { | |
|
|
149 | "cell_type": "code", | |
|
|
150 | "collapsed": true, | |
|
|
151 | "input": [ | |
|
|
152 | "from mpi4py import MPI", | |
|
|
153 | "", | |
|
|
154 | "comm = MPI.COMM_WORLD", | |
|
|
155 | "size = comm.Get_size()", | |
|
|
156 | "rank = comm.Get_rank()", | |
|
|
157 | "", | |
|
|
158 | "if rank == 0:", | |
|
|
159 | " data = [(i+1)**2 for i in range(size)]", | |
|
|
160 | "else:", | |
|
|
161 | " data = None", | |
|
|
162 | "data = comm.scatter(data, root=0)", | |
|
|
163 | "", | |
|
|
164 | "assert data == (rank+1)**2, 'data=%s, rank=%s' % (data, rank)" | |
|
|
165 | ], | |
|
|
166 | "language": "python", | |
|
|
167 | "outputs": [], | |
|
|
168 | "prompt_number": 29 | |
|
|
169 | }, | |
|
|
170 | { | |
|
|
171 | "cell_type": "markdown", | |
|
|
172 | "source": [ | |
|
|
173 | "Though the assertion at the end of the previous block validated the code, we can now ", | |
|
|
174 | "pull the 'data' variable from all the nodes for local inspection.", | |
|
|
175 | "First, don't forget to toggle off `autopx` mode so code runs again in the notebook:" | |
|
|
176 | ] | |
|
|
177 | }, | |
|
|
178 | { | |
|
|
179 | "cell_type": "code", | |
|
|
180 | "collapsed": false, | |
|
|
181 | "input": [ | |
|
|
182 | "%autopx" | |
|
|
183 | ], | |
|
|
184 | "language": "python", | |
|
|
185 | "outputs": [ | |
|
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186 | { | |
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187 | "output_type": "stream", | |
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188 | "stream": "stdout", | |
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189 | "text": [ | |
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190 | "%autopx disabled" | |
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191 | ] | |
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192 | } | |
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193 | ], | |
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194 | "prompt_number": 33 | |
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195 | }, | |
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196 | { | |
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197 | "cell_type": "code", | |
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198 | "collapsed": false, | |
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199 | "input": [ | |
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200 | "view['data']" | |
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201 | ], | |
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202 | "language": "python", | |
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203 | "outputs": [ | |
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204 | { | |
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205 | "output_type": "pyout", | |
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206 | "prompt_number": 34, | |
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207 | "text": [ | |
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208 | "[16, 1, 9, 4]" | |
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209 | ] | |
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210 | } | |
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211 | ], | |
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212 | "prompt_number": 34 | |
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213 | }, | |
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214 | { | |
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215 | "cell_type": "code", | |
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216 | "collapsed": true, | |
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217 | "input": [], | |
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218 | "language": "python", | |
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219 | "outputs": [] | |
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220 | } | |
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221 | ] | |
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222 | } | |
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223 | ] | |
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139 | 224 | } No newline at end of file |
| @@ -1,71 +1,109 b'' | |||
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1 | 1 | { |
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2 | "nbformat": 2, | |
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3 | "metadata": { | |
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4 | "name": "taskmap" | |
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2 | "metadata": { | |
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3 | "name": "taskmap" | |
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4 | }, | |
|
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5 | "nbformat": 2, | |
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6 | "worksheets": [ | |
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7 | { | |
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8 | "cells": [ | |
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9 | { | |
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10 | "cell_type": "markdown", | |
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11 | "source": [ | |
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12 | "# Load balanced map and parallel function decorator" | |
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13 | ] | |
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5 | 14 | }, |
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6 | "worksheets": [ | |
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7 | { | |
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8 | "cells": [ | |
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9 | { | |
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10 | "source": "# Load balanced map and parallel function decorator", | |
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11 | "cell_type": "markdown" | |
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12 | }, | |
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13 | { | |
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14 | "cell_type": "code", | |
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15 | "language": "python", | |
|
|
16 | "outputs": [], | |
|
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17 | "collapsed": true, | |
|
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18 | "prompt_number": 4, | |
|
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19 | "input": "from IPython.parallel import Client" | |
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20 | }, | |
|
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21 | { | |
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22 | "cell_type": "code", | |
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23 |
|
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24 |
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25 | "collapsed": true, | |
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26 | "prompt_number": 5, | |
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27 | "input": "rc = Client()\nv = rc.load_balanced_view()" | |
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28 | }, | |
|
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29 | { | |
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30 | "cell_type": "code", | |
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31 | "language": "python", | |
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32 | "outputs": [ | |
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33 | { | |
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34 | "output_type": "stream", | |
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35 | "text": "Simple, default map: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]" | |
|
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36 | } | |
|
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37 | ], | |
|
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38 | "collapsed": false, | |
|
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39 | "prompt_number": 6, | |
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40 | "input": "result = v.map(lambda x: 2*x, range(10))\nprint \"Simple, default map: \", list(result)" | |
|
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41 | }, | |
|
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42 | { | |
|
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43 | "cell_type": "code", | |
|
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44 | "language": "python", | |
|
|
45 | "outputs": [ | |
|
|
46 | { | |
|
|
47 | "output_type": "stream", | |
|
|
48 | "text": "Submitted tasks, got ids: ['2a25ff3f-f0d0-4428-909a-3fe808ca61f9', 'edd42168-fac2-4b3f-a696-ce61b37aa71d', '8a548908-7812-44e6-a8b1-68e941bee608', '26435a77-fe86-49b6-b59f-de864d59c99f', '6750c7b4-2168-49ec-bcc4-feb1e17c5e53', '117240d1-5dfc-4783-948f-e9523b2b2f6a', '6de16d46-f2e2-49bd-8180-e43d1d875529', '3d372b84-0c68-4315-92c8-a080c68478b7', '43acedae-e35c-4a17-87f0-9e5e672500f7', 'eb71dd1f-9500-4375-875d-c2c42999848c']\nUsing a mapper: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]" | |
|
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49 | } | |
|
|
50 | ], | |
|
|
51 | "collapsed": false, | |
|
|
52 | "prompt_number": 7, | |
|
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53 | "input": "ar = v.map_async(lambda x: 2*x, range(10))\nprint \"Submitted tasks, got ids: \", ar.msg_ids\nresult = ar.get()\nprint \"Using a mapper: \", result" | |
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54 | }, | |
|
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55 | { | |
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56 | "cell_type": "code", | |
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57 | "language": "python", | |
|
|
58 | "outputs": [ | |
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59 | { | |
|
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60 | "output_type": "stream", | |
|
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61 | "text": "Using a parallel function: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]" | |
|
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62 | } | |
|
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63 | ], | |
|
|
64 | "collapsed": false, | |
|
|
65 | "prompt_number": 8, | |
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66 | "input": "@v.parallel(block=True)\ndef f(x): return 2*x\n\nresult = f.map(range(10))\nprint \"Using a parallel function: \", result" | |
|
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67 | } | |
|
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68 | ] | |
|
|
69 | } | |
|
|
70 | ] | |
|
|
15 | { | |
|
|
16 | "cell_type": "code", | |
|
|
17 | "collapsed": true, | |
|
|
18 | "input": [ | |
|
|
19 | "from IPython.parallel import Client" | |
|
|
20 | ], | |
|
|
21 | "language": "python", | |
|
|
22 | "outputs": [], | |
|
|
23 | "prompt_number": 1 | |
|
|
24 | }, | |
|
|
25 | { | |
|
|
26 | "cell_type": "code", | |
|
|
27 | "collapsed": false, | |
|
|
28 | "input": [ | |
|
|
29 | "rc = Client()", | |
|
|
30 | "v = rc.load_balanced_view()" | |
|
|
31 | ], | |
|
|
32 | "language": "python", | |
|
|
33 | "outputs": [], | |
|
|
34 | "prompt_number": 3 | |
|
|
35 | }, | |
|
|
36 | { | |
|
|
37 | "cell_type": "code", | |
|
|
38 | "collapsed": false, | |
|
|
39 | "input": [ | |
|
|
40 | "result = v.map(lambda x: 2*x, range(10))", | |
|
|
41 | "print \"Simple, default map: \", list(result)" | |
|
|
42 | ], | |
|
|
43 | "language": "python", | |
|
|
44 | "outputs": [ | |
|
|
45 | { | |
|
|
46 | "output_type": "stream", | |
|
|
47 | "stream": "stdout", | |
|
|
48 | "text": [ | |
|
|
49 | "Simple, default map: " | |
|
|
50 | ] | |
|
|
51 | }, | |
|
|
52 | { | |
|
|
53 | "output_type": "stream", | |
|
|
54 | "stream": "stdout", | |
|
|
55 | "text": [ | |
|
|
56 | "[0, 2, 4, 6, 8, 10, 12, 14, 16, 18]" | |
|
|
57 | ] | |
|
|
58 | } | |
|
|
59 | ], | |
|
|
60 | "prompt_number": 4 | |
|
|
61 | }, | |
|
|
62 | { | |
|
|
63 | "cell_type": "code", | |
|
|
64 | "collapsed": false, | |
|
|
65 | "input": [ | |
|
|
66 | "ar = v.map_async(lambda x: 2*x, range(10))", | |
|
|
67 | "print \"Submitted tasks, got ids: \", ar.msg_ids", | |
|
|
68 | "result = ar.get()", | |
|
|
69 | "print \"Using a mapper: \", result" | |
|
|
70 | ], | |
|
|
71 | "language": "python", | |
|
|
72 | "outputs": [ | |
|
|
73 | { | |
|
|
74 | "output_type": "stream", | |
|
|
75 | "stream": "stdout", | |
|
|
76 | "text": [ | |
|
|
77 | "Submitted tasks, got ids: ['5100a4c7-73a4-4832-aa91-e774f6f3ede8', 'd0cae1cf-2b32-4092-9eb7-f17b43fb3849', 'e08d3ee2-f221-47fe-9556-ed938e692030', '065585e4-cdf9-4240-a5fe-e44b2ae5d023', 'd2162f23-68e5-4318-ba1e-e34fd03a72ac', '5b3b835f-2099-4a70-9896-d1aa810c77e6', 'e2c2a823-bd44-4f91-8db3-c154d0d86e56', '991e0c25-f98a-44b5-9d9e-889d4180b9a5', '4ad41221-28bd-482f-a300-97c404648161', '5b730eb3-e0bb-4cdd-b228-c3b8d158828a']", | |
|
|
78 | "Using a mapper: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]" | |
|
|
79 | ] | |
|
|
80 | } | |
|
|
81 | ], | |
|
|
82 | "prompt_number": 5 | |
|
|
83 | }, | |
|
|
84 | { | |
|
|
85 | "cell_type": "code", | |
|
|
86 | "collapsed": false, | |
|
|
87 | "input": [ | |
|
|
88 | "@v.parallel(block=True)", | |
|
|
89 | "def f(x): return 2*x", | |
|
|
90 | "", | |
|
|
91 | "result = f.map(range(10))", | |
|
|
92 | "print \"Using a parallel function: \", result" | |
|
|
93 | ], | |
|
|
94 | "language": "python", | |
|
|
95 | "outputs": [ | |
|
|
96 | { | |
|
|
97 | "output_type": "stream", | |
|
|
98 | "stream": "stdout", | |
|
|
99 | "text": [ | |
|
|
100 | "Using a parallel function: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]" | |
|
|
101 | ] | |
|
|
102 | } | |
|
|
103 | ], | |
|
|
104 | "prompt_number": 6 | |
|
|
105 | } | |
|
|
106 | ] | |
|
|
107 | } | |
|
|
108 | ] | |
|
|
71 | 109 | } No newline at end of file |
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