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@@ -1,1178 +1,1179 b'' | |||||
1 | { |
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1 | { | |
2 | "metadata": { |
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2 | "metadata": { | |
3 | "name": "" |
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3 | "name": "", | |
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4 | "signature": "sha256:441fa273fba6403e4fa6ef51f4397b1a0ca9ddec43fe8fba217b854e2c7b0377" | |||
4 | }, |
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5 | }, | |
5 | "nbformat": 3, |
|
6 | "nbformat": 3, | |
6 | "nbformat_minor": 0, |
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7 | "nbformat_minor": 0, | |
7 | "worksheets": [ |
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8 | "worksheets": [ | |
8 | { |
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9 | { | |
9 | "cells": [ |
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10 | "cells": [ | |
10 | { |
|
11 | { | |
11 | "cell_type": "heading", |
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12 | "cell_type": "heading", | |
12 | "level": 1, |
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13 | "level": 1, | |
13 | "metadata": {}, |
|
14 | "metadata": {}, | |
14 | "source": [ |
|
15 | "source": [ | |
15 | "Basic Output" |
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16 | "Basic Output" | |
16 | ] |
|
17 | ] | |
17 | }, |
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18 | }, | |
18 | { |
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19 | { | |
19 | "cell_type": "markdown", |
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20 | "cell_type": "markdown", | |
20 | "metadata": {}, |
|
21 | "metadata": {}, | |
21 | "source": [ |
|
22 | "source": [ | |
22 | "When a cell is run, it can generate *output*. In IPython, the definition of output is quite general; it can be text, images, LaTeX, HTML or JSON. All output is displayed below the code that generated it, in the *output area*.\n", |
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23 | "When a cell is run, it can generate *output*. In IPython, the definition of output is quite general; it can be text, images, LaTeX, HTML or JSON. All output is displayed below the code that generated it, in the *output area*.\n", | |
23 | "\n", |
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24 | "\n", | |
24 | "This Notebook describes the basics of output and shows how the `stdout/stderr` streams are handled." |
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25 | "This Notebook describes the basics of output and shows how the `stdout/stderr` streams are handled." | |
25 | ] |
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26 | ] | |
26 | }, |
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27 | }, | |
27 | { |
|
28 | { | |
28 | "cell_type": "heading", |
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29 | "cell_type": "heading", | |
29 | "level": 2, |
|
30 | "level": 2, | |
30 | "metadata": {}, |
|
31 | "metadata": {}, | |
31 | "source": [ |
|
32 | "source": [ | |
32 | "Displayhook" |
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33 | "Displayhook" | |
33 | ] |
|
34 | ] | |
34 | }, |
|
35 | }, | |
35 | { |
|
36 | { | |
36 | "cell_type": "markdown", |
|
37 | "cell_type": "markdown", | |
37 | "metadata": {}, |
|
38 | "metadata": {}, | |
38 | "source": [ |
|
39 | "source": [ | |
39 | "When a Python object is returned by an expression, Python's `displayhook` mechanism is triggered. In IPython, this results in an output prompt, such as `Out[2]`. These objects are then available under the variables:\n", |
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40 | "When a Python object is returned by an expression, Python's `displayhook` mechanism is triggered. In IPython, this results in an output prompt, such as `Out[2]`. These objects are then available under the variables:\n", | |
40 | "\n", |
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41 | "\n", | |
41 | "* `_` (last output)\n", |
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42 | "* `_` (last output)\n", | |
42 | "* `__` (second to last output)\n", |
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43 | "* `__` (second to last output)\n", | |
43 | "* `_N` (`Out[N]`)" |
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44 | "* `_N` (`Out[N]`)" | |
44 | ] |
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45 | ] | |
45 | }, |
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46 | }, | |
46 | { |
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47 | { | |
47 | "cell_type": "code", |
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48 | "cell_type": "code", | |
48 | "collapsed": false, |
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49 | "collapsed": false, | |
49 | "input": [ |
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50 | "input": [ | |
50 | "import numpy as np\n", |
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51 | "import numpy as np\n", | |
51 | "import sys" |
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52 | "import sys" | |
52 | ], |
|
53 | ], | |
53 | "language": "python", |
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54 | "language": "python", | |
54 | "metadata": {}, |
|
55 | "metadata": {}, | |
55 | "outputs": [], |
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56 | "outputs": [], | |
56 | "prompt_number": 1 |
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57 | "prompt_number": 1 | |
57 | }, |
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58 | }, | |
58 | { |
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59 | { | |
59 | "cell_type": "code", |
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60 | "cell_type": "code", | |
60 | "collapsed": false, |
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61 | "collapsed": false, | |
61 | "input": [ |
|
62 | "input": [ | |
62 | "np.random.rand(10)" |
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63 | "np.random.rand(10)" | |
63 | ], |
|
64 | ], | |
64 | "language": "python", |
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65 | "language": "python", | |
65 | "metadata": {}, |
|
66 | "metadata": {}, | |
66 | "outputs": [ |
|
67 | "outputs": [ | |
67 | { |
|
68 | { | |
68 | "metadata": {}, |
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69 | "metadata": {}, | |
69 | "output_type": "pyout", |
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70 | "output_type": "pyout", | |
70 | "prompt_number": 2, |
|
71 | "prompt_number": 2, | |
71 | "text": [ |
|
72 | "text": [ | |
72 | "array([ 0.75222263, 0.72102181, 0.15122973, 0.00386071, 0.21584229,\n", |
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73 | "array([ 0.95903549, 0.20840774, 0.89732074, 0.72494962, 0.30424358,\n", | |
73 | " 0.72508214, 0.16864276, 0.96639874, 0.92500381, 0.30806583])" |
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74 | " 0.03881097, 0.72698477, 0.92148251, 0.96582423, 0.95202918])" | |
74 | ] |
|
75 | ] | |
75 | } |
|
76 | } | |
76 | ], |
|
77 | ], | |
77 | "prompt_number": 2 |
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78 | "prompt_number": 2 | |
78 | }, |
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79 | }, | |
79 | { |
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80 | { | |
80 | "cell_type": "code", |
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81 | "cell_type": "code", | |
81 | "collapsed": false, |
|
82 | "collapsed": false, | |
82 | "input": [ |
|
83 | "input": [ | |
83 | "np.sin(_)" |
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84 | "np.sin(_)" | |
84 | ], |
|
85 | ], | |
85 | "language": "python", |
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86 | "language": "python", | |
86 | "metadata": {}, |
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87 | "metadata": {}, | |
87 | "outputs": [ |
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88 | "outputs": [ | |
88 | { |
|
89 | { | |
89 | "metadata": {}, |
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90 | "metadata": {}, | |
90 | "output_type": "pyout", |
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91 | "output_type": "pyout", | |
91 | "prompt_number": 3, |
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92 | "prompt_number": 3, | |
92 | "text": [ |
|
93 | "text": [ | |
93 | "array([ 0.68326335, 0.66015253, 0.15065394, 0.0038607 , 0.21417025,\n", |
|
94 | "array([ 0.81863802, 0.20690236, 0.78165864, 0.66309773, 0.29957159,\n", | |
94 | " 0.66319692, 0.16784452, 0.82284458, 0.79862306, 0.3032161 ])" |
|
95 | " 0.03880123, 0.66461974, 0.79649888, 0.82251797, 0.81459417])" | |
95 | ] |
|
96 | ] | |
96 | } |
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97 | } | |
97 | ], |
|
98 | ], | |
98 | "prompt_number": 3 |
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99 | "prompt_number": 3 | |
99 | }, |
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100 | }, | |
100 | { |
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101 | { | |
101 | "cell_type": "heading", |
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102 | "cell_type": "heading", | |
102 | "level": 2, |
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103 | "level": 2, | |
103 | "metadata": {}, |
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104 | "metadata": {}, | |
104 | "source": [ |
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105 | "source": [ | |
105 | "sys.stdout and sys.stderr" |
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106 | "sys.stdout and sys.stderr" | |
106 | ] |
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107 | ] | |
107 | }, |
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108 | }, | |
108 | { |
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109 | { | |
109 | "cell_type": "markdown", |
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110 | "cell_type": "markdown", | |
110 | "metadata": {}, |
|
111 | "metadata": {}, | |
111 | "source": [ |
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112 | "source": [ | |
112 | "The stdout and stderr streams are displayed as text in the output area." |
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113 | "The stdout and stderr streams are displayed as text in the output area." | |
113 | ] |
|
114 | ] | |
114 | }, |
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115 | }, | |
115 | { |
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116 | { | |
116 | "cell_type": "code", |
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117 | "cell_type": "code", | |
117 | "collapsed": false, |
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118 | "collapsed": false, | |
118 | "input": [ |
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119 | "input": [ | |
119 | "print(\"hi, stdout\")" |
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120 | "print(\"hi, stdout\")" | |
120 | ], |
|
121 | ], | |
121 | "language": "python", |
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122 | "language": "python", | |
122 | "metadata": {}, |
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123 | "metadata": {}, | |
123 | "outputs": [ |
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124 | "outputs": [ | |
124 | { |
|
125 | { | |
125 | "output_type": "stream", |
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126 | "output_type": "stream", | |
126 | "stream": "stdout", |
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127 | "stream": "stdout", | |
127 | "text": [ |
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128 | "text": [ | |
128 | "hi, stdout\n" |
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129 | "hi, stdout\n" | |
129 | ] |
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130 | ] | |
130 | } |
|
131 | } | |
131 | ], |
|
132 | ], | |
132 | "prompt_number": 4 |
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133 | "prompt_number": 4 | |
133 | }, |
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134 | }, | |
134 | { |
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135 | { | |
135 | "cell_type": "code", |
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136 | "cell_type": "code", | |
136 | "collapsed": false, |
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137 | "collapsed": false, | |
137 | "input": [ |
|
138 | "input": [ | |
138 | "from __future__ import print_function\n", |
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139 | "from __future__ import print_function\n", | |
139 | "print('hi, stderr', file=sys.stderr)" |
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140 | "print('hi, stderr', file=sys.stderr)" | |
140 | ], |
|
141 | ], | |
141 | "language": "python", |
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142 | "language": "python", | |
142 | "metadata": {}, |
|
143 | "metadata": {}, | |
143 | "outputs": [ |
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144 | "outputs": [ | |
144 | { |
|
145 | { | |
145 | "output_type": "stream", |
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146 | "output_type": "stream", | |
146 | "stream": "stderr", |
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147 | "stream": "stderr", | |
147 | "text": [ |
|
148 | "text": [ | |
148 | "hi, stderr\n" |
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149 | "hi, stderr\n" | |
149 | ] |
|
150 | ] | |
150 | } |
|
151 | } | |
151 | ], |
|
152 | ], | |
152 | "prompt_number": 5 |
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153 | "prompt_number": 5 | |
153 | }, |
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154 | }, | |
154 | { |
|
155 | { | |
155 | "cell_type": "heading", |
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156 | "cell_type": "heading", | |
156 | "level": 2, |
|
157 | "level": 2, | |
157 | "metadata": {}, |
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158 | "metadata": {}, | |
158 | "source": [ |
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159 | "source": [ | |
159 | "Output is asynchronous" |
|
160 | "Output is asynchronous" | |
160 | ] |
|
161 | ] | |
161 | }, |
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162 | }, | |
162 | { |
|
163 | { | |
163 | "cell_type": "markdown", |
|
164 | "cell_type": "markdown", | |
164 | "metadata": {}, |
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165 | "metadata": {}, | |
165 | "source": [ |
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166 | "source": [ | |
166 | "All output is displayed asynchronously as it is generated in the Kernel. If you execute the next cell, you will see the output one piece at a time, not all at the end." |
|
167 | "All output is displayed asynchronously as it is generated in the Kernel. If you execute the next cell, you will see the output one piece at a time, not all at the end." | |
167 | ] |
|
168 | ] | |
168 | }, |
|
169 | }, | |
169 | { |
|
170 | { | |
170 | "cell_type": "code", |
|
171 | "cell_type": "code", | |
171 | "collapsed": false, |
|
172 | "collapsed": false, | |
172 | "input": [ |
|
173 | "input": [ | |
173 | "import time, sys\n", |
|
174 | "import time, sys\n", | |
174 | "for i in range(8):\n", |
|
175 | "for i in range(8):\n", | |
175 | " print(i)\n", |
|
176 | " print(i)\n", | |
176 | " time.sleep(0.5)" |
|
177 | " time.sleep(0.5)" | |
177 | ], |
|
178 | ], | |
178 | "language": "python", |
|
179 | "language": "python", | |
179 | "metadata": {}, |
|
180 | "metadata": {}, | |
180 | "outputs": [ |
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181 | "outputs": [ | |
181 | { |
|
182 | { | |
182 | "output_type": "stream", |
|
183 | "output_type": "stream", | |
183 | "stream": "stdout", |
|
184 | "stream": "stdout", | |
184 | "text": [ |
|
185 | "text": [ | |
185 | "0\n", |
|
186 | "0\n", | |
186 | "1" |
|
187 | "1" | |
187 | ] |
|
188 | ] | |
188 | }, |
|
189 | }, | |
189 | { |
|
190 | { | |
190 | "output_type": "stream", |
|
191 | "output_type": "stream", | |
191 | "stream": "stdout", |
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192 | "stream": "stdout", | |
192 | "text": [ |
|
193 | "text": [ | |
193 | "\n", |
|
194 | "\n", | |
194 | "2" |
|
195 | "2" | |
195 | ] |
|
196 | ] | |
196 | }, |
|
197 | }, | |
197 | { |
|
198 | { | |
198 | "output_type": "stream", |
|
199 | "output_type": "stream", | |
199 | "stream": "stdout", |
|
200 | "stream": "stdout", | |
200 | "text": [ |
|
201 | "text": [ | |
201 | "\n", |
|
202 | "\n", | |
202 | "3" |
|
203 | "3" | |
203 | ] |
|
204 | ] | |
204 | }, |
|
205 | }, | |
205 | { |
|
206 | { | |
206 | "output_type": "stream", |
|
207 | "output_type": "stream", | |
207 | "stream": "stdout", |
|
208 | "stream": "stdout", | |
208 | "text": [ |
|
209 | "text": [ | |
209 | "\n", |
|
210 | "\n", | |
210 | "4" |
|
211 | "4" | |
211 | ] |
|
212 | ] | |
212 | }, |
|
213 | }, | |
213 | { |
|
214 | { | |
214 | "output_type": "stream", |
|
215 | "output_type": "stream", | |
215 | "stream": "stdout", |
|
216 | "stream": "stdout", | |
216 | "text": [ |
|
217 | "text": [ | |
217 | "\n", |
|
218 | "\n", | |
218 | "5" |
|
219 | "5" | |
219 | ] |
|
220 | ] | |
220 | }, |
|
221 | }, | |
221 | { |
|
222 | { | |
222 | "output_type": "stream", |
|
223 | "output_type": "stream", | |
223 | "stream": "stdout", |
|
224 | "stream": "stdout", | |
224 | "text": [ |
|
225 | "text": [ | |
225 | "\n", |
|
226 | "\n", | |
226 | "6" |
|
227 | "6" | |
227 | ] |
|
228 | ] | |
228 | }, |
|
229 | }, | |
229 | { |
|
230 | { | |
230 | "output_type": "stream", |
|
231 | "output_type": "stream", | |
231 | "stream": "stdout", |
|
232 | "stream": "stdout", | |
232 | "text": [ |
|
233 | "text": [ | |
233 | "\n", |
|
234 | "\n", | |
234 | "7" |
|
235 | "7" | |
235 | ] |
|
236 | ] | |
236 | }, |
|
237 | }, | |
237 | { |
|
238 | { | |
238 | "output_type": "stream", |
|
239 | "output_type": "stream", | |
239 | "stream": "stdout", |
|
240 | "stream": "stdout", | |
240 | "text": [ |
|
241 | "text": [ | |
241 | "\n" |
|
242 | "\n" | |
242 | ] |
|
243 | ] | |
243 | } |
|
244 | } | |
244 | ], |
|
245 | ], | |
245 | "prompt_number": 6 |
|
246 | "prompt_number": 6 | |
246 | }, |
|
247 | }, | |
247 | { |
|
248 | { | |
248 | "cell_type": "heading", |
|
249 | "cell_type": "heading", | |
249 | "level": 2, |
|
250 | "level": 2, | |
250 | "metadata": {}, |
|
251 | "metadata": {}, | |
251 | "source": [ |
|
252 | "source": [ | |
252 | "Large outputs" |
|
253 | "Large outputs" | |
253 | ] |
|
254 | ] | |
254 | }, |
|
255 | }, | |
255 | { |
|
256 | { | |
256 | "cell_type": "markdown", |
|
257 | "cell_type": "markdown", | |
257 | "metadata": {}, |
|
258 | "metadata": {}, | |
258 | "source": [ |
|
259 | "source": [ | |
259 | "To better handle large outputs, the output area can be collapsed. Run the following cell and then single- or double- click on the active area to the left of the output:" |
|
260 | "To better handle large outputs, the output area can be collapsed. Run the following cell and then single- or double- click on the active area to the left of the output:" | |
260 | ] |
|
261 | ] | |
261 | }, |
|
262 | }, | |
262 | { |
|
263 | { | |
263 | "cell_type": "code", |
|
264 | "cell_type": "code", | |
264 | "collapsed": false, |
|
265 | "collapsed": false, | |
265 | "input": [ |
|
266 | "input": [ | |
266 | "for i in range(50):\n", |
|
267 | "for i in range(50):\n", | |
267 | " print(i)" |
|
268 | " print(i)" | |
268 | ], |
|
269 | ], | |
269 | "language": "python", |
|
270 | "language": "python", | |
270 | "metadata": {}, |
|
271 | "metadata": {}, | |
271 | "outputs": [ |
|
272 | "outputs": [ | |
272 | { |
|
273 | { | |
273 | "output_type": "stream", |
|
274 | "output_type": "stream", | |
274 | "stream": "stdout", |
|
275 | "stream": "stdout", | |
275 | "text": [ |
|
276 | "text": [ | |
276 | "0\n", |
|
277 | "0\n", | |
277 | "1\n", |
|
278 | "1\n", | |
278 | "2\n", |
|
279 | "2\n", | |
279 | "3\n", |
|
280 | "3\n", | |
280 | "4\n", |
|
281 | "4\n", | |
281 | "5\n", |
|
282 | "5\n", | |
282 | "6\n", |
|
283 | "6\n", | |
283 | "7\n", |
|
284 | "7\n", | |
284 | "8\n", |
|
285 | "8\n", | |
285 | "9\n", |
|
286 | "9\n", | |
286 | "10\n", |
|
287 | "10\n", | |
287 | "11\n", |
|
288 | "11\n", | |
288 | "12\n", |
|
289 | "12\n", | |
289 | "13\n", |
|
290 | "13\n", | |
290 | "14\n", |
|
291 | "14\n", | |
291 | "15\n", |
|
292 | "15\n", | |
292 | "16\n", |
|
293 | "16\n", | |
293 | "17\n", |
|
294 | "17\n", | |
294 | "18\n", |
|
295 | "18\n", | |
295 | "19\n", |
|
296 | "19\n", | |
296 | "20\n", |
|
297 | "20\n", | |
297 | "21\n", |
|
298 | "21\n", | |
298 | "22\n", |
|
299 | "22\n", | |
299 | "23\n", |
|
300 | "23\n", | |
300 | "24\n", |
|
301 | "24\n", | |
301 | "25\n", |
|
302 | "25\n", | |
302 | "26\n", |
|
303 | "26\n", | |
303 | "27\n", |
|
304 | "27\n", | |
304 | "28\n", |
|
305 | "28\n", | |
305 | "29\n", |
|
306 | "29\n", | |
306 | "30\n", |
|
307 | "30\n", | |
307 | "31\n", |
|
308 | "31\n", | |
308 | "32\n", |
|
309 | "32\n", | |
309 | "33\n", |
|
310 | "33\n", | |
310 | "34\n", |
|
311 | "34\n", | |
311 | "35\n", |
|
312 | "35\n", | |
312 | "36\n", |
|
313 | "36\n", | |
313 | "37\n", |
|
314 | "37\n", | |
314 | "38\n", |
|
315 | "38\n", | |
315 | "39\n", |
|
316 | "39\n", | |
316 | "40\n", |
|
317 | "40\n", | |
317 | "41\n", |
|
318 | "41\n", | |
318 | "42\n", |
|
319 | "42\n", | |
319 | "43\n", |
|
320 | "43\n", | |
320 | "44\n", |
|
321 | "44\n", | |
321 | "45\n", |
|
322 | "45\n", | |
322 | "46\n", |
|
323 | "46\n", | |
323 | "47\n", |
|
324 | "47\n", | |
324 | "48\n", |
|
325 | "48\n", | |
325 | "49\n" |
|
326 | "49\n" | |
326 | ] |
|
327 | ] | |
327 | } |
|
328 | } | |
328 | ], |
|
329 | ], | |
329 | "prompt_number": 7 |
|
330 | "prompt_number": 7 | |
330 | }, |
|
331 | }, | |
331 | { |
|
332 | { | |
332 | "cell_type": "markdown", |
|
333 | "cell_type": "markdown", | |
333 | "metadata": {}, |
|
334 | "metadata": {}, | |
334 | "source": [ |
|
335 | "source": [ | |
335 | "Beyond a certain point, output will scroll automatically:" |
|
336 | "Beyond a certain point, output will scroll automatically:" | |
336 | ] |
|
337 | ] | |
337 | }, |
|
338 | }, | |
338 | { |
|
339 | { | |
339 | "cell_type": "code", |
|
340 | "cell_type": "code", | |
340 | "collapsed": false, |
|
341 | "collapsed": false, | |
341 | "input": [ |
|
342 | "input": [ | |
342 | "for i in range(500):\n", |
|
343 | "for i in range(500):\n", | |
343 | " print(2**i - 1)" |
|
344 | " print(2**i - 1)" | |
344 | ], |
|
345 | ], | |
345 | "language": "python", |
|
346 | "language": "python", | |
346 | "metadata": {}, |
|
347 | "metadata": {}, | |
347 | "outputs": [ |
|
348 | "outputs": [ | |
348 | { |
|
349 | { | |
349 | "output_type": "stream", |
|
350 | "output_type": "stream", | |
350 | "stream": "stdout", |
|
351 | "stream": "stdout", | |
351 | "text": [ |
|
352 | "text": [ | |
352 | "0\n", |
|
353 | "0\n", | |
353 | "1\n", |
|
354 | "1\n", | |
354 | "3\n", |
|
355 | "3\n", | |
355 | "7\n", |
|
356 | "7\n", | |
356 | "15\n", |
|
357 | "15\n", | |
357 | "31\n", |
|
358 | "31\n", | |
358 | "63\n", |
|
359 | "63\n", | |
359 | "127\n", |
|
360 | "127\n", | |
360 | "255\n", |
|
361 | "255\n", | |
361 | "511\n", |
|
362 | "511\n", | |
362 | "1023\n", |
|
363 | "1023\n", | |
363 | "2047\n", |
|
364 | "2047\n", | |
364 | "4095\n", |
|
365 | "4095\n", | |
365 | "8191\n", |
|
366 | "8191\n", | |
366 | "16383\n", |
|
367 | "16383\n", | |
367 | "32767\n", |
|
368 | "32767\n", | |
368 | "65535\n", |
|
369 | "65535\n", | |
369 | "131071\n", |
|
370 | "131071\n", | |
370 | "262143\n", |
|
371 | "262143\n", | |
371 | "524287\n", |
|
372 | "524287\n", | |
372 | "1048575\n", |
|
373 | "1048575\n", | |
373 | "2097151\n", |
|
374 | "2097151\n", | |
374 | "4194303\n", |
|
375 | "4194303\n", | |
375 | "8388607\n", |
|
376 | "8388607\n", | |
376 | "16777215\n", |
|
377 | "16777215\n", | |
377 | "33554431\n", |
|
378 | "33554431\n", | |
378 | "67108863\n", |
|
379 | "67108863\n", | |
379 | "134217727\n", |
|
380 | "134217727\n", | |
380 | "268435455\n", |
|
381 | "268435455\n", | |
381 | "536870911\n", |
|
382 | "536870911\n", | |
382 | "1073741823\n", |
|
383 | "1073741823\n", | |
383 | "2147483647\n", |
|
384 | "2147483647\n", | |
384 | "4294967295\n", |
|
385 | "4294967295\n", | |
385 | "8589934591\n", |
|
386 | "8589934591\n", | |
386 | "17179869183\n", |
|
387 | "17179869183\n", | |
387 | "34359738367\n", |
|
388 | "34359738367\n", | |
388 | "68719476735\n", |
|
389 | "68719476735\n", | |
389 | "137438953471\n", |
|
390 | "137438953471\n", | |
390 | "274877906943\n", |
|
391 | "274877906943\n", | |
391 | "549755813887\n", |
|
392 | "549755813887\n", | |
392 | "1099511627775\n", |
|
393 | "1099511627775\n", | |
393 | "2199023255551\n", |
|
394 | "2199023255551\n", | |
394 | "4398046511103\n", |
|
395 | "4398046511103\n", | |
395 | "8796093022207\n", |
|
396 | "8796093022207\n", | |
396 | "17592186044415\n", |
|
397 | "17592186044415\n", | |
397 | "35184372088831\n", |
|
398 | "35184372088831\n", | |
398 | "70368744177663\n", |
|
399 | "70368744177663\n", | |
399 | "140737488355327\n", |
|
400 | "140737488355327\n", | |
400 | "281474976710655\n", |
|
401 | "281474976710655\n", | |
401 | "562949953421311\n", |
|
402 | "562949953421311\n", | |
402 | "1125899906842623\n", |
|
403 | "1125899906842623\n", | |
403 | "2251799813685247\n", |
|
404 | "2251799813685247\n", | |
404 | "4503599627370495\n", |
|
405 | "4503599627370495\n", | |
405 | "9007199254740991\n", |
|
406 | "9007199254740991\n", | |
406 | "18014398509481983\n", |
|
407 | "18014398509481983\n", | |
407 | "36028797018963967\n", |
|
408 | "36028797018963967\n", | |
408 | "72057594037927935\n", |
|
409 | "72057594037927935\n", | |
409 | "144115188075855871\n", |
|
410 | "144115188075855871\n", | |
410 | "288230376151711743\n", |
|
411 | "288230376151711743\n", | |
411 | "576460752303423487\n", |
|
412 | "576460752303423487\n", | |
412 | "1152921504606846975\n", |
|
413 | "1152921504606846975\n", | |
413 | "2305843009213693951\n", |
|
414 | "2305843009213693951\n", | |
414 | "4611686018427387903\n", |
|
415 | "4611686018427387903\n", | |
415 | "9223372036854775807\n", |
|
416 | "9223372036854775807\n", | |
416 | "18446744073709551615\n", |
|
417 | "18446744073709551615\n", | |
417 | "36893488147419103231\n", |
|
418 | "36893488147419103231\n", | |
418 | "73786976294838206463\n", |
|
419 | "73786976294838206463\n", | |
419 | "147573952589676412927\n", |
|
420 | "147573952589676412927\n", | |
420 | "295147905179352825855\n", |
|
421 | "295147905179352825855\n", | |
421 | "590295810358705651711\n", |
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422 | "590295810358705651711\n", | |
422 | "1180591620717411303423\n", |
|
423 | "1180591620717411303423\n", | |
423 | "2361183241434822606847\n", |
|
424 | "2361183241434822606847\n", | |
424 | "4722366482869645213695\n", |
|
425 | "4722366482869645213695\n", | |
425 | "9444732965739290427391\n", |
|
426 | "9444732965739290427391\n", | |
426 | "18889465931478580854783\n", |
|
427 | "18889465931478580854783\n", | |
427 | "37778931862957161709567\n", |
|
428 | "37778931862957161709567\n", | |
428 | "75557863725914323419135\n", |
|
429 | "75557863725914323419135\n", | |
429 | "151115727451828646838271\n", |
|
430 | "151115727451828646838271\n", | |
430 | "302231454903657293676543\n", |
|
431 | "302231454903657293676543\n", | |
431 | "604462909807314587353087\n", |
|
432 | "604462909807314587353087\n", | |
432 | "1208925819614629174706175\n", |
|
433 | "1208925819614629174706175\n", | |
433 | "2417851639229258349412351\n", |
|
434 | "2417851639229258349412351\n", | |
434 | "4835703278458516698824703\n", |
|
435 | "4835703278458516698824703\n", | |
435 | "9671406556917033397649407\n", |
|
436 | "9671406556917033397649407\n", | |
436 | "19342813113834066795298815\n", |
|
437 | "19342813113834066795298815\n", | |
437 | "38685626227668133590597631\n", |
|
438 | "38685626227668133590597631\n", | |
438 | "77371252455336267181195263\n", |
|
439 | "77371252455336267181195263\n", | |
439 | "154742504910672534362390527\n", |
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440 | "154742504910672534362390527\n", | |
440 | "309485009821345068724781055\n", |
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441 | "309485009821345068724781055\n", | |
441 | "618970019642690137449562111\n", |
|
442 | "618970019642690137449562111\n", | |
442 | "1237940039285380274899124223\n", |
|
443 | "1237940039285380274899124223\n", | |
443 | "2475880078570760549798248447\n", |
|
444 | "2475880078570760549798248447\n", | |
444 | "4951760157141521099596496895\n", |
|
445 | "4951760157141521099596496895\n", | |
445 | "9903520314283042199192993791\n", |
|
446 | "9903520314283042199192993791\n", | |
446 | "19807040628566084398385987583\n", |
|
447 | "19807040628566084398385987583\n", | |
447 | "39614081257132168796771975167\n", |
|
448 | "39614081257132168796771975167\n", | |
448 | "79228162514264337593543950335\n", |
|
449 | "79228162514264337593543950335\n", | |
449 | "158456325028528675187087900671\n", |
|
450 | "158456325028528675187087900671\n", | |
450 | "316912650057057350374175801343\n", |
|
451 | "316912650057057350374175801343\n", | |
451 | "633825300114114700748351602687\n", |
|
452 | "633825300114114700748351602687\n", | |
452 | "1267650600228229401496703205375\n", |
|
453 | "1267650600228229401496703205375\n", | |
453 | "2535301200456458802993406410751\n", |
|
454 | "2535301200456458802993406410751\n", | |
454 | "5070602400912917605986812821503\n", |
|
455 | "5070602400912917605986812821503\n", | |
455 | "10141204801825835211973625643007\n", |
|
456 | "10141204801825835211973625643007\n", | |
456 | "20282409603651670423947251286015\n", |
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457 | "20282409603651670423947251286015\n", | |
457 | "40564819207303340847894502572031\n", |
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458 | "40564819207303340847894502572031\n", | |
458 | "81129638414606681695789005144063\n", |
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459 | "81129638414606681695789005144063\n", | |
459 | "162259276829213363391578010288127\n", |
|
460 | "162259276829213363391578010288127\n", | |
460 | "324518553658426726783156020576255\n", |
|
461 | "324518553658426726783156020576255\n", | |
461 | "649037107316853453566312041152511\n", |
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462 | "649037107316853453566312041152511\n", | |
462 | "1298074214633706907132624082305023\n", |
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463 | "1298074214633706907132624082305023\n", | |
463 | "2596148429267413814265248164610047\n", |
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464 | "2596148429267413814265248164610047\n", | |
464 | "5192296858534827628530496329220095\n", |
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465 | "5192296858534827628530496329220095\n", | |
465 | "10384593717069655257060992658440191\n", |
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466 | "10384593717069655257060992658440191\n", | |
466 | "20769187434139310514121985316880383\n", |
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467 | "20769187434139310514121985316880383\n", | |
467 | "41538374868278621028243970633760767\n", |
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468 | "41538374868278621028243970633760767\n", | |
468 | "83076749736557242056487941267521535\n", |
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469 | "83076749736557242056487941267521535\n", | |
469 | "166153499473114484112975882535043071\n", |
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470 | "166153499473114484112975882535043071\n", | |
470 | "332306998946228968225951765070086143\n", |
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471 | "332306998946228968225951765070086143\n", | |
471 | "664613997892457936451903530140172287\n", |
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472 | "664613997892457936451903530140172287\n", | |
472 | "1329227995784915872903807060280344575\n", |
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473 | "1329227995784915872903807060280344575\n", | |
473 | "2658455991569831745807614120560689151\n", |
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474 | "2658455991569831745807614120560689151\n", | |
474 | "5316911983139663491615228241121378303\n", |
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475 | "5316911983139663491615228241121378303\n", | |
475 | "10633823966279326983230456482242756607\n", |
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476 | "10633823966279326983230456482242756607\n", | |
476 | "21267647932558653966460912964485513215\n", |
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477 | "21267647932558653966460912964485513215\n", | |
477 | "42535295865117307932921825928971026431\n", |
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478 | "42535295865117307932921825928971026431\n", | |
478 | "85070591730234615865843651857942052863\n", |
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479 | "85070591730234615865843651857942052863\n", | |
479 | "170141183460469231731687303715884105727\n", |
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480 | "170141183460469231731687303715884105727\n", | |
480 | "340282366920938463463374607431768211455\n", |
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481 | "340282366920938463463374607431768211455\n", | |
481 | "680564733841876926926749214863536422911\n", |
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482 | "680564733841876926926749214863536422911\n", | |
482 | "1361129467683753853853498429727072845823\n", |
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483 | "1361129467683753853853498429727072845823\n", | |
483 | "2722258935367507707706996859454145691647\n", |
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484 | "2722258935367507707706996859454145691647\n", | |
484 | "5444517870735015415413993718908291383295\n", |
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485 | "5444517870735015415413993718908291383295\n", | |
485 | "10889035741470030830827987437816582766591\n", |
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486 | "10889035741470030830827987437816582766591\n", | |
486 | "21778071482940061661655974875633165533183\n", |
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487 | "21778071482940061661655974875633165533183\n", | |
487 | "43556142965880123323311949751266331066367\n", |
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488 | "43556142965880123323311949751266331066367\n", | |
488 | "87112285931760246646623899502532662132735\n", |
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489 | "87112285931760246646623899502532662132735\n", | |
489 | "174224571863520493293247799005065324265471\n", |
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490 | "174224571863520493293247799005065324265471\n", | |
490 | "348449143727040986586495598010130648530943\n", |
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491 | "348449143727040986586495598010130648530943\n", | |
491 | "696898287454081973172991196020261297061887\n", |
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492 | "696898287454081973172991196020261297061887\n", | |
492 | "1393796574908163946345982392040522594123775\n", |
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493 | "1393796574908163946345982392040522594123775\n", | |
493 | "2787593149816327892691964784081045188247551\n", |
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494 | "2787593149816327892691964784081045188247551\n", | |
494 | "5575186299632655785383929568162090376495103\n", |
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495 | "5575186299632655785383929568162090376495103\n", | |
495 | "11150372599265311570767859136324180752990207\n", |
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496 | "11150372599265311570767859136324180752990207\n", | |
496 | "22300745198530623141535718272648361505980415\n", |
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497 | "22300745198530623141535718272648361505980415\n", | |
497 | "44601490397061246283071436545296723011960831\n", |
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498 | "44601490397061246283071436545296723011960831\n", | |
498 | "89202980794122492566142873090593446023921663\n", |
|
499 | "89202980794122492566142873090593446023921663\n", | |
499 | "178405961588244985132285746181186892047843327\n", |
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500 | "178405961588244985132285746181186892047843327\n", | |
500 | "356811923176489970264571492362373784095686655\n", |
|
501 | "356811923176489970264571492362373784095686655\n", | |
501 | "713623846352979940529142984724747568191373311\n", |
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502 | "713623846352979940529142984724747568191373311\n", | |
502 | "1427247692705959881058285969449495136382746623\n", |
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503 | "1427247692705959881058285969449495136382746623\n", | |
503 | "2854495385411919762116571938898990272765493247\n", |
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504 | "2854495385411919762116571938898990272765493247\n", | |
504 | "5708990770823839524233143877797980545530986495\n", |
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505 | "5708990770823839524233143877797980545530986495\n", | |
505 | "11417981541647679048466287755595961091061972991\n", |
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506 | "11417981541647679048466287755595961091061972991\n", | |
506 | "22835963083295358096932575511191922182123945983\n", |
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507 | "22835963083295358096932575511191922182123945983\n", | |
507 | "45671926166590716193865151022383844364247891967\n", |
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508 | "45671926166590716193865151022383844364247891967\n", | |
508 | "91343852333181432387730302044767688728495783935\n", |
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509 | "91343852333181432387730302044767688728495783935\n", | |
509 | "182687704666362864775460604089535377456991567871\n", |
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510 | "182687704666362864775460604089535377456991567871\n", | |
510 | "365375409332725729550921208179070754913983135743\n", |
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511 | "365375409332725729550921208179070754913983135743\n", | |
511 | "730750818665451459101842416358141509827966271487\n", |
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512 | "730750818665451459101842416358141509827966271487\n", | |
512 | "1461501637330902918203684832716283019655932542975\n", |
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513 | "1461501637330902918203684832716283019655932542975\n", | |
513 | "2923003274661805836407369665432566039311865085951\n", |
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514 | "2923003274661805836407369665432566039311865085951\n", | |
514 | "5846006549323611672814739330865132078623730171903\n", |
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515 | "5846006549323611672814739330865132078623730171903\n", | |
515 | "11692013098647223345629478661730264157247460343807\n", |
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516 | "11692013098647223345629478661730264157247460343807\n", | |
516 | "23384026197294446691258957323460528314494920687615\n", |
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517 | "23384026197294446691258957323460528314494920687615\n", | |
517 | "46768052394588893382517914646921056628989841375231\n", |
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518 | "46768052394588893382517914646921056628989841375231\n", | |
518 | "93536104789177786765035829293842113257979682750463\n", |
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519 | "93536104789177786765035829293842113257979682750463\n", | |
519 | "187072209578355573530071658587684226515959365500927\n", |
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520 | "187072209578355573530071658587684226515959365500927\n", | |
520 | "374144419156711147060143317175368453031918731001855\n", |
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521 | "374144419156711147060143317175368453031918731001855\n", | |
521 | "748288838313422294120286634350736906063837462003711\n", |
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522 | "748288838313422294120286634350736906063837462003711\n", | |
522 | "1496577676626844588240573268701473812127674924007423\n", |
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523 | "1496577676626844588240573268701473812127674924007423\n", | |
523 | "2993155353253689176481146537402947624255349848014847\n", |
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524 | "2993155353253689176481146537402947624255349848014847\n", | |
524 | "5986310706507378352962293074805895248510699696029695\n", |
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525 | "5986310706507378352962293074805895248510699696029695\n", | |
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820 | "381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764927\n", | |
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825 | "12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477695\n", | |
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830 | "390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286271\n", | |
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852 | "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794687\n" | |
852 | ] |
|
853 | ] | |
853 | } |
|
854 | } | |
854 | ], |
|
855 | ], | |
855 | "prompt_number": 8 |
|
856 | "prompt_number": 8 | |
856 | }, |
|
857 | }, | |
857 | { |
|
858 | { | |
858 | "cell_type": "heading", |
|
859 | "cell_type": "heading", | |
859 | "level": 2, |
|
860 | "level": 2, | |
860 | "metadata": {}, |
|
861 | "metadata": {}, | |
861 | "source": [ |
|
862 | "source": [ | |
862 | "Capturing output with <tt>%%capture</tt>" |
|
863 | "Capturing output with <tt>%%capture</tt>" | |
863 | ] |
|
864 | ] | |
864 | }, |
|
865 | }, | |
865 | { |
|
866 | { | |
866 | "cell_type": "markdown", |
|
867 | "cell_type": "markdown", | |
867 | "metadata": {}, |
|
868 | "metadata": {}, | |
868 | "source": [ |
|
869 | "source": [ | |
869 | "IPython has a [cell magic](Cell%20Magics.ipynb), `%%capture`, which captures the stdout/stderr of a cell. With this magic you can discard these streams or store them in a variable." |
|
870 | "IPython has a [cell magic](Cell%20Magics.ipynb), `%%capture`, which captures the stdout/stderr of a cell. With this magic you can discard these streams or store them in a variable." | |
870 | ] |
|
871 | ] | |
871 | }, |
|
872 | }, | |
872 | { |
|
873 | { | |
873 | "cell_type": "code", |
|
874 | "cell_type": "code", | |
874 | "collapsed": false, |
|
875 | "collapsed": false, | |
875 | "input": [ |
|
876 | "input": [ | |
876 | "from __future__ import print_function\n", |
|
877 | "from __future__ import print_function\n", | |
877 | "import sys" |
|
878 | "import sys" | |
878 | ], |
|
879 | ], | |
879 | "language": "python", |
|
880 | "language": "python", | |
880 | "metadata": {}, |
|
881 | "metadata": {}, | |
881 | "outputs": [], |
|
882 | "outputs": [], | |
882 | "prompt_number": 9 |
|
883 | "prompt_number": 9 | |
883 | }, |
|
884 | }, | |
884 | { |
|
885 | { | |
885 | "cell_type": "markdown", |
|
886 | "cell_type": "markdown", | |
886 | "metadata": {}, |
|
887 | "metadata": {}, | |
887 | "source": [ |
|
888 | "source": [ | |
888 | "By default, `%%capture` discards these streams. This is a simple way to suppress unwanted output." |
|
889 | "By default, `%%capture` discards these streams. This is a simple way to suppress unwanted output." | |
889 | ] |
|
890 | ] | |
890 | }, |
|
891 | }, | |
891 | { |
|
892 | { | |
892 | "cell_type": "code", |
|
893 | "cell_type": "code", | |
893 | "collapsed": false, |
|
894 | "collapsed": false, | |
894 | "input": [ |
|
895 | "input": [ | |
895 | "%%capture\n", |
|
896 | "%%capture\n", | |
896 | "print('hi, stdout')\n", |
|
897 | "print('hi, stdout')\n", | |
897 | "print('hi, stderr', file=sys.stderr)" |
|
898 | "print('hi, stderr', file=sys.stderr)" | |
898 | ], |
|
899 | ], | |
899 | "language": "python", |
|
900 | "language": "python", | |
900 | "metadata": {}, |
|
901 | "metadata": {}, | |
901 | "outputs": [], |
|
902 | "outputs": [], | |
902 | "prompt_number": 10 |
|
903 | "prompt_number": 10 | |
903 | }, |
|
904 | }, | |
904 | { |
|
905 | { | |
905 | "cell_type": "markdown", |
|
906 | "cell_type": "markdown", | |
906 | "metadata": {}, |
|
907 | "metadata": {}, | |
907 | "source": [ |
|
908 | "source": [ | |
908 | "If you specify a name, then stdout/stderr will be stored in an object in your namespace." |
|
909 | "If you specify a name, then stdout/stderr will be stored in an object in your namespace." | |
909 | ] |
|
910 | ] | |
910 | }, |
|
911 | }, | |
911 | { |
|
912 | { | |
912 | "cell_type": "code", |
|
913 | "cell_type": "code", | |
913 | "collapsed": false, |
|
914 | "collapsed": false, | |
914 | "input": [ |
|
915 | "input": [ | |
915 | "%%capture captured\n", |
|
916 | "%%capture captured\n", | |
916 | "print('hi, stdout')\n", |
|
917 | "print('hi, stdout')\n", | |
917 | "print('hi, stderr', file=sys.stderr)" |
|
918 | "print('hi, stderr', file=sys.stderr)" | |
918 | ], |
|
919 | ], | |
919 | "language": "python", |
|
920 | "language": "python", | |
920 | "metadata": {}, |
|
921 | "metadata": {}, | |
921 | "outputs": [], |
|
922 | "outputs": [], | |
922 | "prompt_number": 11 |
|
923 | "prompt_number": 11 | |
923 | }, |
|
924 | }, | |
924 | { |
|
925 | { | |
925 | "cell_type": "code", |
|
926 | "cell_type": "code", | |
926 | "collapsed": false, |
|
927 | "collapsed": false, | |
927 | "input": [ |
|
928 | "input": [ | |
928 | "captured" |
|
929 | "captured" | |
929 | ], |
|
930 | ], | |
930 | "language": "python", |
|
931 | "language": "python", | |
931 | "metadata": {}, |
|
932 | "metadata": {}, | |
932 | "outputs": [ |
|
933 | "outputs": [ | |
933 | { |
|
934 | { | |
934 | "metadata": {}, |
|
935 | "metadata": {}, | |
935 | "output_type": "pyout", |
|
936 | "output_type": "pyout", | |
936 | "prompt_number": 12, |
|
937 | "prompt_number": 12, | |
937 | "text": [ |
|
938 | "text": [ | |
938 |
"<IPython.utils.capture.CapturedIO at 0x |
|
939 | "<IPython.utils.capture.CapturedIO at 0x1076c9310>" | |
939 | ] |
|
940 | ] | |
940 | } |
|
941 | } | |
941 | ], |
|
942 | ], | |
942 | "prompt_number": 12 |
|
943 | "prompt_number": 12 | |
943 | }, |
|
944 | }, | |
944 | { |
|
945 | { | |
945 | "cell_type": "markdown", |
|
946 | "cell_type": "markdown", | |
946 | "metadata": {}, |
|
947 | "metadata": {}, | |
947 | "source": [ |
|
948 | "source": [ | |
948 | "Calling the object writes the output to stdout/stderr as appropriate." |
|
949 | "Calling the object writes the output to stdout/stderr as appropriate." | |
949 | ] |
|
950 | ] | |
950 | }, |
|
951 | }, | |
951 | { |
|
952 | { | |
952 | "cell_type": "code", |
|
953 | "cell_type": "code", | |
953 | "collapsed": false, |
|
954 | "collapsed": false, | |
954 | "input": [ |
|
955 | "input": [ | |
955 | "captured()" |
|
956 | "captured()" | |
956 | ], |
|
957 | ], | |
957 | "language": "python", |
|
958 | "language": "python", | |
958 | "metadata": {}, |
|
959 | "metadata": {}, | |
959 | "outputs": [ |
|
960 | "outputs": [ | |
960 | { |
|
961 | { | |
961 | "output_type": "stream", |
|
962 | "output_type": "stream", | |
962 | "stream": "stdout", |
|
963 | "stream": "stdout", | |
963 | "text": [ |
|
964 | "text": [ | |
964 | "hi, stdout\n" |
|
965 | "hi, stdout\n" | |
965 | ] |
|
966 | ] | |
966 | }, |
|
967 | }, | |
967 | { |
|
968 | { | |
968 | "output_type": "stream", |
|
969 | "output_type": "stream", | |
969 | "stream": "stderr", |
|
970 | "stream": "stderr", | |
970 | "text": [ |
|
971 | "text": [ | |
971 | "hi, stderr\n" |
|
972 | "hi, stderr\n" | |
972 | ] |
|
973 | ] | |
973 | } |
|
974 | } | |
974 | ], |
|
975 | ], | |
975 | "prompt_number": 13 |
|
976 | "prompt_number": 13 | |
976 | }, |
|
977 | }, | |
977 | { |
|
978 | { | |
978 | "cell_type": "code", |
|
979 | "cell_type": "code", | |
979 | "collapsed": false, |
|
980 | "collapsed": false, | |
980 | "input": [ |
|
981 | "input": [ | |
981 | "captured.stdout" |
|
982 | "captured.stdout" | |
982 | ], |
|
983 | ], | |
983 | "language": "python", |
|
984 | "language": "python", | |
984 | "metadata": {}, |
|
985 | "metadata": {}, | |
985 | "outputs": [ |
|
986 | "outputs": [ | |
986 | { |
|
987 | { | |
987 | "metadata": {}, |
|
988 | "metadata": {}, | |
988 | "output_type": "pyout", |
|
989 | "output_type": "pyout", | |
989 | "prompt_number": 14, |
|
990 | "prompt_number": 14, | |
990 | "text": [ |
|
991 | "text": [ | |
991 | "'hi, stdout\\n'" |
|
992 | "'hi, stdout\\n'" | |
992 | ] |
|
993 | ] | |
993 | } |
|
994 | } | |
994 | ], |
|
995 | ], | |
995 | "prompt_number": 14 |
|
996 | "prompt_number": 14 | |
996 | }, |
|
997 | }, | |
997 | { |
|
998 | { | |
998 | "cell_type": "code", |
|
999 | "cell_type": "code", | |
999 | "collapsed": false, |
|
1000 | "collapsed": false, | |
1000 | "input": [ |
|
1001 | "input": [ | |
1001 | "captured.stderr" |
|
1002 | "captured.stderr" | |
1002 | ], |
|
1003 | ], | |
1003 | "language": "python", |
|
1004 | "language": "python", | |
1004 | "metadata": {}, |
|
1005 | "metadata": {}, | |
1005 | "outputs": [ |
|
1006 | "outputs": [ | |
1006 | { |
|
1007 | { | |
1007 | "metadata": {}, |
|
1008 | "metadata": {}, | |
1008 | "output_type": "pyout", |
|
1009 | "output_type": "pyout", | |
1009 | "prompt_number": 15, |
|
1010 | "prompt_number": 15, | |
1010 | "text": [ |
|
1011 | "text": [ | |
1011 | "'hi, stderr\\n'" |
|
1012 | "'hi, stderr\\n'" | |
1012 | ] |
|
1013 | ] | |
1013 | } |
|
1014 | } | |
1014 | ], |
|
1015 | ], | |
1015 | "prompt_number": 15 |
|
1016 | "prompt_number": 15 | |
1016 | }, |
|
1017 | }, | |
1017 | { |
|
1018 | { | |
1018 | "cell_type": "markdown", |
|
1019 | "cell_type": "markdown", | |
1019 | "metadata": {}, |
|
1020 | "metadata": {}, | |
1020 | "source": [ |
|
1021 | "source": [ | |
1021 | "`%%capture` grabs all output types, not just stdout/stderr, so you can do plots and use IPython's display system inside `%%capture`" |
|
1022 | "`%%capture` grabs all output types, not just stdout/stderr, so you can do plots and use IPython's display system inside `%%capture`" | |
1022 | ] |
|
1023 | ] | |
1023 | }, |
|
1024 | }, | |
1024 | { |
|
1025 | { | |
1025 | "cell_type": "code", |
|
1026 | "cell_type": "code", | |
1026 | "collapsed": false, |
|
1027 | "collapsed": false, | |
1027 | "input": [ |
|
1028 | "input": [ | |
1028 | "%matplotlib inline\n", |
|
1029 | "%matplotlib inline\n", | |
1029 | "import matplotlib.pyplot as plt\n", |
|
1030 | "import matplotlib.pyplot as plt\n", | |
1030 | "import numpy as np" |
|
1031 | "import numpy as np" | |
1031 | ], |
|
1032 | ], | |
1032 | "language": "python", |
|
1033 | "language": "python", | |
1033 | "metadata": {}, |
|
1034 | "metadata": {}, | |
1034 | "outputs": [], |
|
1035 | "outputs": [], | |
1035 | "prompt_number": 16 |
|
1036 | "prompt_number": 16 | |
1036 | }, |
|
1037 | }, | |
1037 | { |
|
1038 | { | |
1038 | "cell_type": "code", |
|
1039 | "cell_type": "code", | |
1039 | "collapsed": false, |
|
1040 | "collapsed": false, | |
1040 | "input": [ |
|
1041 | "input": [ | |
1041 | "%%capture wontshutup\n", |
|
1042 | "%%capture wontshutup\n", | |
1042 | "\n", |
|
1043 | "\n", | |
1043 | "print(\"setting up X\")\n", |
|
1044 | "print(\"setting up X\")\n", | |
1044 | "x = np.linspace(0,5,1000)\n", |
|
1045 | "x = np.linspace(0,5,1000)\n", | |
1045 | "print(\"step 2: constructing y-data\")\n", |
|
1046 | "print(\"step 2: constructing y-data\")\n", | |
1046 | "y = np.sin(x)\n", |
|
1047 | "y = np.sin(x)\n", | |
1047 | "print(\"step 3: display info about y\")\n", |
|
1048 | "print(\"step 3: display info about y\")\n", | |
1048 | "plt.plot(x,y)\n", |
|
1049 | "plt.plot(x,y)\n", | |
1049 | "print(\"okay, I'm done now\")" |
|
1050 | "print(\"okay, I'm done now\")" | |
1050 | ], |
|
1051 | ], | |
1051 | "language": "python", |
|
1052 | "language": "python", | |
1052 | "metadata": {}, |
|
1053 | "metadata": {}, | |
1053 | "outputs": [], |
|
1054 | "outputs": [], | |
1054 | "prompt_number": 17 |
|
1055 | "prompt_number": 17 | |
1055 | }, |
|
1056 | }, | |
1056 | { |
|
1057 | { | |
1057 | "cell_type": "code", |
|
1058 | "cell_type": "code", | |
1058 | "collapsed": false, |
|
1059 | "collapsed": false, | |
1059 | "input": [ |
|
1060 | "input": [ | |
1060 | "wontshutup()" |
|
1061 | "wontshutup()" | |
1061 | ], |
|
1062 | ], | |
1062 | "language": "python", |
|
1063 | "language": "python", | |
1063 | "metadata": {}, |
|
1064 | "metadata": {}, | |
1064 | "outputs": [ |
|
1065 | "outputs": [ | |
1065 | { |
|
1066 | { | |
1066 | "output_type": "stream", |
|
1067 | "output_type": "stream", | |
1067 | "stream": "stdout", |
|
1068 | "stream": "stdout", | |
1068 | "text": [ |
|
1069 | "text": [ | |
1069 | "setting up X\n", |
|
1070 | "setting up X\n", | |
1070 | "step 2: constructing y-data\n", |
|
1071 | "step 2: constructing y-data\n", | |
1071 | "step 3: display info about y\n", |
|
1072 | "step 3: display info about y\n", | |
1072 | "okay, I'm done now\n" |
|
1073 | "okay, I'm done now\n" | |
1073 | ] |
|
1074 | ] | |
1074 | }, |
|
1075 | }, | |
1075 | { |
|
1076 | { | |
1076 | "metadata": {}, |
|
1077 | "metadata": {}, | |
1077 | "output_type": "display_data", |
|
1078 | "output_type": "display_data", | |
1078 | "png": 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1079 | "png": 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| |
1079 | "text": [ |
|
1080 | "text": [ | |
1080 |
"<matplotlib.figure.Figure at 0x |
|
1081 | "<matplotlib.figure.Figure at 0x10866ae90>" | |
1081 | ] |
|
1082 | ] | |
1082 | } |
|
1083 | } | |
1083 | ], |
|
1084 | ], | |
1084 | "prompt_number": 18 |
|
1085 | "prompt_number": 18 | |
1085 | }, |
|
1086 | }, | |
1086 | { |
|
1087 | { | |
1087 | "cell_type": "markdown", |
|
1088 | "cell_type": "markdown", | |
1088 | "metadata": {}, |
|
1089 | "metadata": {}, | |
1089 | "source": [ |
|
1090 | "source": [ | |
1090 | "And you can selectively disable capturing stdout, stderr or rich display, by passing `--no-stdout`, `--no-stderr` and `--no-display`" |
|
1091 | "And you can selectively disable capturing stdout, stderr or rich display, by passing `--no-stdout`, `--no-stderr` and `--no-display`" | |
1091 | ] |
|
1092 | ] | |
1092 | }, |
|
1093 | }, | |
1093 | { |
|
1094 | { | |
1094 | "cell_type": "code", |
|
1095 | "cell_type": "code", | |
1095 | "collapsed": false, |
|
1096 | "collapsed": false, | |
1096 | "input": [ |
|
1097 | "input": [ | |
1097 | "%%capture cap --no-stderr\n", |
|
1098 | "%%capture cap --no-stderr\n", | |
1098 | "print('hi, stdout')\n", |
|
1099 | "print('hi, stdout')\n", | |
1099 | "print(\"hello, stderr\", file=sys.stderr)" |
|
1100 | "print(\"hello, stderr\", file=sys.stderr)" | |
1100 | ], |
|
1101 | ], | |
1101 | "language": "python", |
|
1102 | "language": "python", | |
1102 | "metadata": {}, |
|
1103 | "metadata": {}, | |
1103 | "outputs": [ |
|
1104 | "outputs": [ | |
1104 | { |
|
1105 | { | |
1105 | "output_type": "stream", |
|
1106 | "output_type": "stream", | |
1106 | "stream": "stderr", |
|
1107 | "stream": "stderr", | |
1107 | "text": [ |
|
1108 | "text": [ | |
1108 | "hello, stderr\n" |
|
1109 | "hello, stderr\n" | |
1109 | ] |
|
1110 | ] | |
1110 | } |
|
1111 | } | |
1111 | ], |
|
1112 | ], | |
1112 | "prompt_number": 19 |
|
1113 | "prompt_number": 19 | |
1113 | }, |
|
1114 | }, | |
1114 | { |
|
1115 | { | |
1115 | "cell_type": "code", |
|
1116 | "cell_type": "code", | |
1116 | "collapsed": false, |
|
1117 | "collapsed": false, | |
1117 | "input": [ |
|
1118 | "input": [ | |
1118 | "cap.stdout" |
|
1119 | "cap.stdout" | |
1119 | ], |
|
1120 | ], | |
1120 | "language": "python", |
|
1121 | "language": "python", | |
1121 | "metadata": {}, |
|
1122 | "metadata": {}, | |
1122 | "outputs": [ |
|
1123 | "outputs": [ | |
1123 | { |
|
1124 | { | |
1124 | "metadata": {}, |
|
1125 | "metadata": {}, | |
1125 | "output_type": "pyout", |
|
1126 | "output_type": "pyout", | |
1126 | "prompt_number": 20, |
|
1127 | "prompt_number": 20, | |
1127 | "text": [ |
|
1128 | "text": [ | |
1128 | "'hi, stdout\\n'" |
|
1129 | "'hi, stdout\\n'" | |
1129 | ] |
|
1130 | ] | |
1130 | } |
|
1131 | } | |
1131 | ], |
|
1132 | ], | |
1132 | "prompt_number": 20 |
|
1133 | "prompt_number": 20 | |
1133 | }, |
|
1134 | }, | |
1134 | { |
|
1135 | { | |
1135 | "cell_type": "code", |
|
1136 | "cell_type": "code", | |
1136 | "collapsed": false, |
|
1137 | "collapsed": false, | |
1137 | "input": [ |
|
1138 | "input": [ | |
1138 | "cap.stderr" |
|
1139 | "cap.stderr" | |
1139 | ], |
|
1140 | ], | |
1140 | "language": "python", |
|
1141 | "language": "python", | |
1141 | "metadata": {}, |
|
1142 | "metadata": {}, | |
1142 | "outputs": [ |
|
1143 | "outputs": [ | |
1143 | { |
|
1144 | { | |
1144 | "metadata": {}, |
|
1145 | "metadata": {}, | |
1145 | "output_type": "pyout", |
|
1146 | "output_type": "pyout", | |
1146 | "prompt_number": 21, |
|
1147 | "prompt_number": 21, | |
1147 | "text": [ |
|
1148 | "text": [ | |
1148 | "''" |
|
1149 | "''" | |
1149 | ] |
|
1150 | ] | |
1150 | } |
|
1151 | } | |
1151 | ], |
|
1152 | ], | |
1152 | "prompt_number": 21 |
|
1153 | "prompt_number": 21 | |
1153 | }, |
|
1154 | }, | |
1154 | { |
|
1155 | { | |
1155 | "cell_type": "code", |
|
1156 | "cell_type": "code", | |
1156 | "collapsed": false, |
|
1157 | "collapsed": false, | |
1157 | "input": [ |
|
1158 | "input": [ | |
1158 | "cap.outputs" |
|
1159 | "cap.outputs" | |
1159 | ], |
|
1160 | ], | |
1160 | "language": "python", |
|
1161 | "language": "python", | |
1161 | "metadata": {}, |
|
1162 | "metadata": {}, | |
1162 | "outputs": [ |
|
1163 | "outputs": [ | |
1163 | { |
|
1164 | { | |
1164 | "metadata": {}, |
|
1165 | "metadata": {}, | |
1165 | "output_type": "pyout", |
|
1166 | "output_type": "pyout", | |
1166 | "prompt_number": 22, |
|
1167 | "prompt_number": 22, | |
1167 | "text": [ |
|
1168 | "text": [ | |
1168 | "[]" |
|
1169 | "[]" | |
1169 | ] |
|
1170 | ] | |
1170 | } |
|
1171 | } | |
1171 | ], |
|
1172 | ], | |
1172 | "prompt_number": 22 |
|
1173 | "prompt_number": 22 | |
1173 | } |
|
1174 | } | |
1174 | ], |
|
1175 | ], | |
1175 | "metadata": {} |
|
1176 | "metadata": {} | |
1176 | } |
|
1177 | } | |
1177 | ] |
|
1178 | ] | |
1178 | } No newline at end of file |
|
1179 | } |
This diff has been collapsed as it changes many lines, (12219 lines changed) Show them Hide them | |||||
@@ -1,8652 +1,8339 b'' | |||||
1 | { |
|
1 | { | |
2 | "metadata": { |
|
2 | "metadata": { | |
3 | "name": "" |
|
3 | "name": "", | |
|
4 | "signature": "sha256:906200fa9b27beaf47e1e91d3dde8ecf3376ff8aa7fe5e58aff3a2104ba975fb" | |||
4 | }, |
|
5 | }, | |
5 | "nbformat": 3, |
|
6 | "nbformat": 3, | |
6 | "nbformat_minor": 0, |
|
7 | "nbformat_minor": 0, | |
7 | "worksheets": [ |
|
8 | "worksheets": [ | |
8 | { |
|
9 | { | |
9 | "cells": [ |
|
10 | "cells": [ | |
10 | { |
|
11 | { | |
11 | "cell_type": "heading", |
|
12 | "cell_type": "heading", | |
12 | "level": 1, |
|
13 | "level": 1, | |
13 | "metadata": {}, |
|
14 | "metadata": {}, | |
14 | "source": [ |
|
15 | "source": [ | |
15 | "Defining Custom Display Logic for Your Own Objects" |
|
16 | "Defining Custom Display Logic for Your Own Objects" | |
16 | ] |
|
17 | ] | |
17 | }, |
|
18 | }, | |
18 | { |
|
19 | { | |
19 | "cell_type": "heading", |
|
20 | "cell_type": "heading", | |
20 | "level": 2, |
|
21 | "level": 2, | |
21 | "metadata": {}, |
|
22 | "metadata": {}, | |
22 | "source": [ |
|
23 | "source": [ | |
23 | "Overview" |
|
24 | "Overview" | |
24 | ] |
|
25 | ] | |
25 | }, |
|
26 | }, | |
26 | { |
|
27 | { | |
27 | "cell_type": "markdown", |
|
28 | "cell_type": "markdown", | |
28 | "metadata": {}, |
|
29 | "metadata": {}, | |
29 | "source": [ |
|
30 | "source": [ | |
30 | "In Python, objects can declare their textual representation using the `__repr__` method. IPython expands on this idea and allows objects to declare other, richer representations including:\n", |
|
31 | "In Python, objects can declare their textual representation using the `__repr__` method. IPython expands on this idea and allows objects to declare other, richer representations including:\n", | |
31 | "\n", |
|
32 | "\n", | |
32 | "* HTML\n", |
|
33 | "* HTML\n", | |
33 | "* JSON\n", |
|
34 | "* JSON\n", | |
34 | "* PNG\n", |
|
35 | "* PNG\n", | |
35 | "* JPEG\n", |
|
36 | "* JPEG\n", | |
36 | "* SVG\n", |
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37 | "* SVG\n", | |
37 | "* LaTeX\n", |
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38 | "* LaTeX\n", | |
38 | "\n", |
|
39 | "\n", | |
39 | "This Notebook shows how you can add custom display logic to your own classes, so that they can be displayed using these rich representations. There are two ways of accomplishing this:\n", |
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40 | "This Notebook shows how you can add custom display logic to your own classes, so that they can be displayed using these rich representations. There are two ways of accomplishing this:\n", | |
40 | "\n", |
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41 | "\n", | |
41 | "1. Implementing special display methods such as `_repr_html_`.\n", |
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42 | "1. Implementing special display methods such as `_repr_html_`.\n", | |
42 | "2. Registering a display function for a particular type.\n", |
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43 | "2. Registering a display function for a particular type.\n", | |
43 | "\n", |
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44 | "\n", | |
44 | "In this Notebook we show how both approaches work." |
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45 | "In this Notebook we show how both approaches work." | |
45 | ] |
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46 | ] | |
46 | }, |
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47 | }, | |
47 | { |
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48 | { | |
48 | "cell_type": "markdown", |
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49 | "cell_type": "markdown", | |
49 | "metadata": {}, |
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50 | "metadata": {}, | |
50 | "source": [ |
|
51 | "source": [ | |
51 | "Parts of this notebook need the inline matplotlib backend:" |
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52 | "Parts of this notebook need the inline matplotlib backend:" | |
52 | ] |
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53 | ] | |
53 | }, |
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54 | }, | |
54 | { |
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55 | { | |
55 | "cell_type": "code", |
|
56 | "cell_type": "code", | |
56 | "collapsed": false, |
|
57 | "collapsed": false, | |
57 | "input": [ |
|
58 | "input": [ | |
58 | "%matplotlib inline\n", |
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59 | "%matplotlib inline\n", | |
59 | "import numpy as np\n", |
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60 | "import numpy as np\n", | |
60 | "import matplotlib.pyplot as plt" |
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61 | "import matplotlib.pyplot as plt" | |
61 | ], |
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62 | ], | |
62 | "language": "python", |
|
63 | "language": "python", | |
63 | "metadata": {}, |
|
64 | "metadata": {}, | |
64 | "outputs": [], |
|
65 | "outputs": [], | |
65 | "prompt_number": 1 |
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66 | "prompt_number": 1 | |
66 | }, |
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67 | }, | |
67 | { |
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68 | { | |
68 | "cell_type": "heading", |
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69 | "cell_type": "heading", | |
69 | "level": 2, |
|
70 | "level": 2, | |
70 | "metadata": {}, |
|
71 | "metadata": {}, | |
71 | "source": [ |
|
72 | "source": [ | |
72 | "Implementing special display methods" |
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73 | "Implementing special display methods" | |
73 | ] |
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74 | ] | |
74 | }, |
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75 | }, | |
75 | { |
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76 | { | |
76 | "cell_type": "markdown", |
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77 | "cell_type": "markdown", | |
77 | "metadata": {}, |
|
78 | "metadata": {}, | |
78 | "source": [ |
|
79 | "source": [ | |
79 | "The main idea of the first approach is that you have to implement special display methods, one for each representation you want to use. The names of the special methods are self explanatory:\n", |
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80 | "The main idea of the first approach is that you have to implement special display methods, one for each representation you want to use. The names of the special methods are self explanatory:\n", | |
80 | "\n", |
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81 | "\n", | |
81 | "* `_repr_html_`\n", |
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82 | "* `_repr_html_`\n", | |
82 | "* `_repr_json_`\n", |
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83 | "* `_repr_json_`\n", | |
83 | "* `_repr_jpeg_`\n", |
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84 | "* `_repr_jpeg_`\n", | |
84 | "* `_repr_png_`\n", |
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85 | "* `_repr_png_`\n", | |
85 | "* `_repr_svg_`\n", |
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86 | "* `_repr_svg_`\n", | |
86 | "* `_repr_latex_`\n", |
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87 | "* `_repr_latex_`\n", | |
87 | "\n", |
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88 | "\n", | |
88 | "As an illustration, we build a class that holds data generated by sampling a Gaussian distribution with given mean and variance. Each frontend can then decide which representation it will display be default. Further, we show how to display a particular representation." |
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89 | "As an illustration, we build a class that holds data generated by sampling a Gaussian distribution with given mean and variance. Each frontend can then decide which representation it will display be default. Further, we show how to display a particular representation." | |
89 | ] |
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90 | ] | |
90 | }, |
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91 | }, | |
91 | { |
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92 | { | |
92 | "cell_type": "markdown", |
|
93 | "cell_type": "markdown", | |
93 | "metadata": {}, |
|
94 | "metadata": {}, | |
94 | "source": [ |
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95 | "source": [ | |
95 | "The next cell defines the Gaussian class:" |
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96 | "The next cell defines the Gaussian class:" | |
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 | "cell_type": "code", | |
100 | "collapsed": false, |
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101 | "collapsed": false, | |
101 | "input": [ |
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102 | "input": [ | |
102 | "from IPython.core.pylabtools import print_figure\n", |
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103 | "from IPython.core.pylabtools import print_figure\n", | |
103 | "from IPython.display import Image, SVG, Math\n", |
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104 | "from IPython.display import Image, SVG, Math\n", | |
104 | "\n", |
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105 | "\n", | |
105 | "class Gaussian(object):\n", |
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106 | "class Gaussian(object):\n", | |
106 | " \"\"\"A simple object holding data sampled from a Gaussian distribution.\n", |
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107 | " \"\"\"A simple object holding data sampled from a Gaussian distribution.\n", | |
107 | " \"\"\"\n", |
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108 | " \"\"\"\n", | |
108 | " def __init__(self, mean=0, std=1, size=1000):\n", |
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109 | " def __init__(self, mean=0, std=1, size=1000):\n", | |
109 | " self.data = np.random.normal(mean, std, size)\n", |
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110 | " self.data = np.random.normal(mean, std, size)\n", | |
110 | " self.mean = mean\n", |
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111 | " self.mean = mean\n", | |
111 | " self.std = std\n", |
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112 | " self.std = std\n", | |
112 | " self.size = size\n", |
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113 | " self.size = size\n", | |
113 | " # For caching plots that may be expensive to compute\n", |
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114 | " # For caching plots that may be expensive to compute\n", | |
114 | " self._png_data = None\n", |
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115 | " self._png_data = None\n", | |
115 | " self._svg_data = None\n", |
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116 | " self._svg_data = None\n", | |
116 | " \n", |
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117 | " \n", | |
117 | " def _figure_data(self, format):\n", |
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118 | " def _figure_data(self, format):\n", | |
118 | " fig, ax = plt.subplots()\n", |
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119 | " fig, ax = plt.subplots()\n", | |
119 | " ax.plot(self.data, 'o')\n", |
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120 | " ax.plot(self.data, 'o')\n", | |
120 | " ax.set_title(self._repr_latex_())\n", |
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121 | " ax.set_title(self._repr_latex_())\n", | |
121 | " data = print_figure(fig, format)\n", |
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122 | " data = print_figure(fig, format)\n", | |
122 | " # We MUST close the figure, otherwise IPython's display machinery\n", |
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123 | " # We MUST close the figure, otherwise IPython's display machinery\n", | |
123 | " # will pick it up and send it as output, resulting in a double display\n", |
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124 | " # will pick it up and send it as output, resulting in a double display\n", | |
124 | " plt.close(fig)\n", |
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125 | " plt.close(fig)\n", | |
125 | " return data\n", |
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126 | " return data\n", | |
126 | " \n", |
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127 | " \n", | |
127 | " # Here we define the special repr methods that provide the IPython display protocol\n", |
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128 | " # Here we define the special repr methods that provide the IPython display protocol\n", | |
128 | " # Note that for the two figures, we cache the figure data once computed.\n", |
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129 | " # Note that for the two figures, we cache the figure data once computed.\n", | |
129 | " \n", |
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130 | " \n", | |
130 | " def _repr_png_(self):\n", |
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131 | " def _repr_png_(self):\n", | |
131 | " if self._png_data is None:\n", |
|
132 | " if self._png_data is None:\n", | |
132 | " self._png_data = self._figure_data('png')\n", |
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133 | " self._png_data = self._figure_data('png')\n", | |
133 | " return self._png_data\n", |
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134 | " return self._png_data\n", | |
134 | "\n", |
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135 | "\n", | |
135 | "\n", |
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136 | "\n", | |
136 | " def _repr_svg_(self):\n", |
|
137 | " def _repr_svg_(self):\n", | |
137 | " if self._svg_data is None:\n", |
|
138 | " if self._svg_data is None:\n", | |
138 | " self._svg_data = self._figure_data('svg').decode('utf-8')#.encode('utf-8')\n", |
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139 | " self._svg_data = self._figure_data('svg').decode('utf-8')#.encode('utf-8')\n", | |
139 | " return self._svg_data\n", |
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140 | " return self._svg_data\n", | |
140 | " \n", |
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141 | " \n", | |
141 | " def _repr_latex_(self):\n", |
|
142 | " def _repr_latex_(self):\n", | |
142 | " return r'$\\mathcal{N}(\\mu=%.2g, \\sigma=%.2g),\\ N=%d$' % (self.mean,\n", |
|
143 | " return r'$\\mathcal{N}(\\mu=%.2g, \\sigma=%.2g),\\ N=%d$' % (self.mean,\n", | |
143 | " self.std, self.size)\n", |
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144 | " self.std, self.size)\n", | |
144 | " \n", |
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145 | " \n", | |
145 | " # We expose as properties some of the above reprs, so that the user can see them\n", |
|
146 | " # We expose as properties some of the above reprs, so that the user can see them\n", | |
146 | " # directly (since otherwise the client dictates which one it shows by default)\n", |
|
147 | " # directly (since otherwise the client dictates which one it shows by default)\n", | |
147 | " @property\n", |
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148 | " @property\n", | |
148 | " def png(self):\n", |
|
149 | " def png(self):\n", | |
149 | " return Image(self._repr_png_(), embed=True)\n", |
|
150 | " return Image(self._repr_png_(), embed=True)\n", | |
150 | " \n", |
|
151 | " \n", | |
151 | " @property\n", |
|
152 | " @property\n", | |
152 | " def svg(self):\n", |
|
153 | " def svg(self):\n", | |
153 | " return SVG(self._repr_svg_())\n", |
|
154 | " return SVG(self._repr_svg_())\n", | |
154 | " \n", |
|
155 | " \n", | |
155 | " @property\n", |
|
156 | " @property\n", | |
156 | " def latex(self):\n", |
|
157 | " def latex(self):\n", | |
157 | " return Math(self._repr_latex_())\n", |
|
158 | " return Math(self._repr_latex_())\n", | |
158 | " \n", |
|
159 | " \n", | |
159 | " # An example of using a property to display rich information, in this case\n", |
|
160 | " # An example of using a property to display rich information, in this case\n", | |
160 | " # the histogram of the distribution. We've hardcoded the format to be png\n", |
|
161 | " # the histogram of the distribution. We've hardcoded the format to be png\n", | |
161 | " # in this case, but in production code it would be trivial to make it an option\n", |
|
162 | " # in this case, but in production code it would be trivial to make it an option\n", | |
162 | " @property\n", |
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163 | " @property\n", | |
163 | " def hist(self):\n", |
|
164 | " def hist(self):\n", | |
164 | " fig, ax = plt.subplots()\n", |
|
165 | " fig, ax = plt.subplots()\n", | |
165 | " ax.hist(self.data, bins=100)\n", |
|
166 | " ax.hist(self.data, bins=100)\n", | |
166 | " ax.set_title(self._repr_latex_())\n", |
|
167 | " ax.set_title(self._repr_latex_())\n", | |
167 | " data = print_figure(fig, 'png')\n", |
|
168 | " data = print_figure(fig, 'png')\n", | |
168 | " plt.close(fig)\n", |
|
169 | " plt.close(fig)\n", | |
169 | " return Image(data, embed=True)" |
|
170 | " return Image(data, embed=True)" | |
170 | ], |
|
171 | ], | |
171 | "language": "python", |
|
172 | "language": "python", | |
172 | "metadata": {}, |
|
173 | "metadata": {}, | |
173 | "outputs": [], |
|
174 | "outputs": [], | |
174 | "prompt_number": 2 |
|
175 | "prompt_number": 2 | |
175 | }, |
|
176 | }, | |
176 | { |
|
177 | { | |
177 | "cell_type": "markdown", |
|
178 | "cell_type": "markdown", | |
178 | "metadata": {}, |
|
179 | "metadata": {}, | |
179 | "source": [ |
|
180 | "source": [ | |
180 | "Now, we create an instance of the Gaussian distribution, whose default representation will be its LaTeX form:" |
|
181 | "Now, we create an instance of the Gaussian distribution, whose default representation will be its LaTeX form:" | |
181 | ] |
|
182 | ] | |
182 | }, |
|
183 | }, | |
183 | { |
|
184 | { | |
184 | "cell_type": "code", |
|
185 | "cell_type": "code", | |
185 | "collapsed": false, |
|
186 | "collapsed": false, | |
186 | "input": [ |
|
187 | "input": [ | |
187 | "x = Gaussian()\n", |
|
188 | "x = Gaussian()\n", | |
188 | "x" |
|
189 | "x" | |
189 | ], |
|
190 | ], | |
190 | "language": "python", |
|
191 | "language": "python", | |
191 | "metadata": {}, |
|
192 | "metadata": {}, | |
192 | "outputs": [ |
|
193 | "outputs": [ | |
193 | { |
|
194 | { | |
194 | "latex": [ |
|
195 | "latex": [ | |
195 | "$\\mathcal{N}(\\mu=0, \\sigma=1),\\ N=1000$" |
|
196 | "$\\mathcal{N}(\\mu=0, \\sigma=1),\\ N=1000$" | |
196 | ], |
|
197 | ], | |
197 | "metadata": {}, |
|
198 | "metadata": {}, | |
198 | "output_type": "pyout", |
|
199 | "output_type": "pyout", | |
199 | "png": 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pPfR9GVx4on+kEC1n3Qubj2IcPm8hYU7xaDoOX3aWMMJWZk64UZa8skCI7vvE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MzJw5M67nDUanaH/jUomKSbRgvVT6RQcvhOVAOBUvlQ1UBS/kR384+3fu3ImdO3fGdQ8V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\nw9F05h+9ALJ3fsa+sVptjrKZwNnC9ipbMpbNwgpu2uWFE9Yp4nMMs3W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1090 | " <use style=\"fill:#348abd;stroke:#000000;stroke-linecap:butt;stroke-width:0.5;\" x=\"144.2193125\" xlink:href=\"#md3a4af8f21\" y=\"201.933252334\"/>\n", |
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1833 | "L7.42188 75\n", | |
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1834 | "Q7.71875 75 7.90625 74.8125\n", | |
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1984 | "Q29.1094 34.5781 29.1094 25\n", |
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1837 | "Q29.1094 34.5781 29.1094 25\n", | |
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1842 | "Q7.71875 -25 7.42188 -25\n", | |
1990 | "z\n", |
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1843 | "z\n", | |
1991 | "\" id=\"Cmr10-29\"/>\n", |
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1844 | "\" id=\"Cmr10-29\"/>\n", | |
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1993 | "M4.6875 0\n", |
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1996 | "Q4.04688 2.78125 4.3125 3.14062\n", |
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1998 | "Q14.5469 3.51562 16.1094 9.625\n", |
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1851 | "Q14.5469 3.51562 16.1094 9.625\n", | |
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1872 | "Q77.4375 64.7969 75.875 58.6875\n", | |
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1910 | "M18.7969 1.51562\n", | |
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1911 | "Q24.2656 1.51562 28.4844 5.78125\n", | |
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1912 | "Q32.7188 10.0625 34.9531 16.2344\n", | |
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1915 | "Q32.4688 36.9219 28.2188 36.9219\n", | |
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1917 | "Q14.2656 29.1094 12.2344 23.1875\n", | |
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1919 | "Q10.2031 7.51562 12.4688 4.51562\n", | |
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1932 | "Q17.8281 13.0312 17.8281 10.0156\n", | |
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1942 | "Q52.2031 41.5469 52.2031 40.2812\n", | |
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1943 | "Q52.2031 39.7031 52.0938 39.5\n", | |
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1944 | "L44.9219 10.6875\n", | |
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1945 | "Q44.1875 7.85938 44.1875 5.8125\n", | |
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1949 | "Q54.7812 15.2812 55.4219 15.2812\n", | |
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1966 | "M7.51562 13.2812\n", | |
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1970 | "Q6.6875 17.2812 7.51562 17.2812\n", | |
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1974 | "Q72.125 14.5469 71.5781 13.9062\n", | |
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1975 | "Q71.0469 13.2812 70.3125 13.2812\n", | |
2123 | "z\n", |
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1976 | "z\n", | |
2124 | "\n", |
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1977 | "\n", | |
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1978 | "M7.51562 32.7188\n", | |
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1979 | "Q6.6875 32.7188 6.14062 33.2969\n", | |
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1980 | "Q5.60938 33.8906 5.60938 34.7188\n", | |
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1981 | "Q5.60938 35.4531 6.14062 36.0781\n", | |
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1982 | "Q6.6875 36.7188 7.51562 36.7188\n", | |
2130 | "L70.3125 36.7188\n", |
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1983 | "L70.3125 36.7188\n", | |
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1984 | "Q71.0469 36.7188 71.5781 36.0781\n", | |
2132 | "Q72.125 35.4531 72.125 34.7188\n", |
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1985 | "Q72.125 35.4531 72.125 34.7188\n", | |
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1986 | "Q72.125 33.8906 71.5781 33.2969\n", | |
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1987 | "Q71.0469 32.7188 70.3125 32.7188\n", | |
2135 | "z\n", |
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1988 | "z\n", | |
2136 | "\" id=\"Cmr10-3d\"/>\n", |
|
1989 | "\" id=\"Cmr10-3d\"/>\n", | |
2137 | " <path d=\"\n", |
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1990 | " <path d=\"\n", | |
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2195 | " <path d=\"\n", |
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2048 | " <path d=\"\n", | |
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2065 | "Q9.90625 -18.5 9.90625 -18.0156\" id=\"Cmmi10-3b\"/>\n", | |
2213 | " </defs>\n", |
|
2066 | " </defs>\n", | |
2214 |
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|
2067 | " <g transform=\"translate(128.60125 16.56)scale(0.12 -0.12)\">\n", | |
2215 | " <use transform=\"translate(0.0 0.125)\" xlink:href=\"#Cmsy10-4e\"/>\n", |
|
2068 | " <use transform=\"translate(0.0 0.125)\" xlink:href=\"#Cmsy10-4e\"/>\n", | |
2216 | " <use transform=\"translate(81.982421875 0.125)\" xlink:href=\"#Cmr10-28\"/>\n", |
|
2069 | " <use transform=\"translate(81.982421875 0.125)\" xlink:href=\"#Cmr10-28\"/>\n", | |
2217 | " <use transform=\"translate(120.80078125 0.125)\" xlink:href=\"#Cmmi10-b9\"/>\n", |
|
2070 | " <use transform=\"translate(120.80078125 0.125)\" xlink:href=\"#Cmmi10-b9\"/>\n", | |
2218 | " <use transform=\"translate(198.564453125 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", |
|
2071 | " <use transform=\"translate(198.564453125 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", | |
2219 | " <use transform=\"translate(282.623046875 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", |
|
2072 | " <use transform=\"translate(282.623046875 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", | |
2220 | " <use transform=\"translate(332.623046875 0.125)\" xlink:href=\"#Cmmi10-3b\"/>\n", |
|
2073 | " <use transform=\"translate(332.623046875 0.125)\" xlink:href=\"#Cmmi10-3b\"/>\n", | |
2221 | " <use transform=\"translate(362.291015625 0.125)\" xlink:href=\"#Cmmi10-be\"/>\n", |
|
2074 | " <use transform=\"translate(362.291015625 0.125)\" xlink:href=\"#Cmmi10-be\"/>\n", | |
2222 | " <use transform=\"translate(436.9296875 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", |
|
2075 | " <use transform=\"translate(436.9296875 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", | |
2223 | " <use transform=\"translate(520.98828125 0.125)\" xlink:href=\"#Cmr10-31\"/>\n", |
|
2076 | " <use transform=\"translate(520.98828125 0.125)\" xlink:href=\"#Cmr10-31\"/>\n", | |
2224 | " <use transform=\"translate(570.98828125 0.125)\" xlink:href=\"#Cmr10-29\"/>\n", |
|
2077 | " <use transform=\"translate(570.98828125 0.125)\" xlink:href=\"#Cmr10-29\"/>\n", | |
2225 | " <use transform=\"translate(609.806640625 0.125)\" xlink:href=\"#Cmmi10-3b\"/>\n", |
|
2078 | " <use transform=\"translate(609.806640625 0.125)\" xlink:href=\"#Cmmi10-3b\"/>\n", | |
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|
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2227 | " <use transform=\"translate(763.693359375 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", |
|
2080 | " <use transform=\"translate(763.693359375 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", | |
2228 | " <use transform=\"translate(847.751953125 0.125)\" xlink:href=\"#Cmr10-31\"/>\n", |
|
2081 | " <use transform=\"translate(847.751953125 0.125)\" xlink:href=\"#Cmr10-31\"/>\n", | |
2229 | " <use transform=\"translate(897.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", |
|
2082 | " <use transform=\"translate(897.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", | |
2230 | " <use transform=\"translate(947.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", |
|
2083 | " <use transform=\"translate(947.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", | |
2231 | " <use transform=\"translate(997.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", |
|
2084 | " <use transform=\"translate(997.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", | |
2232 | " </g>\n", |
|
2085 | " </g>\n", | |
2233 | " </g>\n", |
|
2086 | " </g>\n", | |
2234 | " </g>\n", |
|
2087 | " </g>\n", | |
2235 | " </g>\n", |
|
2088 | " </g>\n", | |
2236 | " <defs>\n", |
|
2089 | " <defs>\n", | |
2237 |
" <clipPath id=\"p |
|
2090 | " <clipPath id=\"p169ef6c7ca\">\n", | |
2238 |
" <rect height=\" |
|
2091 | " <rect height=\"223.2\" width=\"334.8\" x=\"24.08125\" y=\"21.56\"/>\n", | |
2239 | " </clipPath>\n", |
|
2092 | " </clipPath>\n", | |
2240 | " </defs>\n", |
|
2093 | " </defs>\n", | |
2241 | "</svg>\n" |
|
2094 | "</svg>\n" | |
2242 | ], |
|
2095 | ], | |
2243 | "text": [ |
|
2096 | "text": [ | |
2244 |
"<__main__.Gaussian at 0x1 |
|
2097 | "<__main__.Gaussian at 0x1083b1b90>" | |
2245 | ] |
|
2098 | ] | |
2246 | } |
|
2099 | } | |
2247 | ], |
|
2100 | ], | |
2248 | "prompt_number": 3 |
|
2101 | "prompt_number": 3 | |
2249 | }, |
|
2102 | }, | |
2250 | { |
|
2103 | { | |
2251 | "cell_type": "markdown", |
|
2104 | "cell_type": "markdown", | |
2252 | "metadata": {}, |
|
2105 | "metadata": {}, | |
2253 | "source": [ |
|
2106 | "source": [ | |
2254 | "We can view the data in png or svg formats:" |
|
2107 | "We can view the data in png or svg formats:" | |
2255 | ] |
|
2108 | ] | |
2256 | }, |
|
2109 | }, | |
2257 | { |
|
2110 | { | |
2258 | "cell_type": "code", |
|
2111 | "cell_type": "code", | |
2259 | "collapsed": false, |
|
2112 | "collapsed": false, | |
2260 | "input": [ |
|
2113 | "input": [ | |
2261 | "x.png" |
|
2114 | "x.png" | |
2262 | ], |
|
2115 | ], | |
2263 | "language": "python", |
|
2116 | "language": "python", | |
2264 | "metadata": {}, |
|
2117 | "metadata": {}, | |
2265 | "outputs": [ |
|
2118 | "outputs": [ | |
2266 | { |
|
2119 | { | |
2267 | "metadata": {}, |
|
2120 | "metadata": {}, | |
2268 | "output_type": "pyout", |
|
2121 | "output_type": "pyout", | |
2269 | "png": 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pPfR9GVx4on+kEC1n3Qubj2IcPm8hYU7xaDoOX3aWMMJWZk64UZa8skCI7vvE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MzJw5M67nDUanaH/jUomKSbRgvVT6RQcvhOVAOBUvlQ1UBS/kR384+3fu3ImdO3fGdQ8V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\nw9F05h+9ALJ3fsa+sVptjrKZwNnC9ipbMpbNwgpu2uWFE9Yp4nMMs3W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2270 | "prompt_number": 4, |
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2123 | "prompt_number": 4, | |
2271 | "text": [ |
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2124 | "text": [ | |
2272 |
"<IPython.core.display.Image at 0x1 |
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2125 | "<IPython.core.display.Image at 0x1083d5510>" | |
2273 | ] |
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2126 | ] | |
2274 | } |
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2127 | } | |
2275 | ], |
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2128 | ], | |
2276 | "prompt_number": 4 |
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2129 | "prompt_number": 4 | |
2277 | }, |
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2130 | }, | |
2278 | { |
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2131 | { | |
2279 | "cell_type": "code", |
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2132 | "cell_type": "code", | |
2280 | "collapsed": false, |
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2133 | "collapsed": false, | |
2281 | "input": [ |
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2134 | "input": [ | |
2282 | "x.svg" |
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2135 | "x.svg" | |
2283 | ], |
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2136 | ], | |
2284 | "language": "python", |
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2137 | "language": "python", | |
2285 | "metadata": {}, |
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2138 | "metadata": {}, | |
2286 | "outputs": [ |
|
2139 | "outputs": [ | |
2287 | { |
|
2140 | { | |
2288 | "metadata": {}, |
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2141 | "metadata": {}, | |
2289 | "output_type": "pyout", |
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2142 | "output_type": "pyout", | |
2290 | "prompt_number": 5, |
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2143 | "prompt_number": 5, | |
2291 | "svg": [ |
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2144 | "svg": [ | |
2292 |
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2293 | " <defs>\n", |
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2146 | " <defs>\n", | |
2294 | " <style type=\"text/css\">\n", |
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2147 | " <style type=\"text/css\">\n", | |
2295 |
"*{stroke-linecap: |
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2148 | "*{stroke-linecap:butt;stroke-linejoin:round;}\n", | |
2296 | " </style>\n", |
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2149 | " </style>\n", | |
2297 | " </defs>\n", |
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2150 | " </defs>\n", | |
2298 | " <g id=\"figure_1\">\n", |
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2151 | " <g id=\"figure_1\">\n", | |
2299 | " <g id=\"patch_1\">\n", |
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2152 | " <g id=\"patch_1\">\n", | |
2300 |
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2153 | " <path d=\" M0 265.638 L377.925 265.638 L377.925 0 L0 0 z \" style=\"fill:#ffffff;\"/>\n", | |
2301 | " </g>\n", |
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2154 | " </g>\n", | |
2302 | " <g id=\"axes_1\">\n", |
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2155 | " <g id=\"axes_1\">\n", | |
2303 | " <g id=\"patch_2\">\n", |
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2156 | " <g id=\"patch_2\">\n", | |
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2157 | " <path d=\" M24.0813 244.76 L358.881 244.76 L358.881 21.56 L24.0813 21.56 z \" style=\"fill:#ffffff;\"/>\n", | |
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2158 | " </g>\n", | |||
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2159 | " <g id=\"line2d_1\">\n", | |||
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2160 | " <defs>\n", | |||
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2395 | " </defs>\n", |
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2418 | " </defs>\n", |
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3295 | " </g>\n", | |
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3307 | " </g>\n", | |
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3684 | " <use transform=\"translate(81.982421875 0.125)\" xlink:href=\"#Cmr10-28\"/>\n", |
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3498 | " <use transform=\"translate(81.982421875 0.125)\" xlink:href=\"#Cmr10-28\"/>\n", | |
3685 | " <use transform=\"translate(120.80078125 0.125)\" xlink:href=\"#Cmmi10-b9\"/>\n", |
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3686 | " <use transform=\"translate(198.564453125 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", |
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3500 | " <use transform=\"translate(198.564453125 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", | |
3687 | " <use transform=\"translate(282.623046875 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", |
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3501 | " <use transform=\"translate(282.623046875 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", | |
3688 | " <use transform=\"translate(332.623046875 0.125)\" xlink:href=\"#Cmmi10-3b\"/>\n", |
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3502 | " <use transform=\"translate(332.623046875 0.125)\" xlink:href=\"#Cmmi10-3b\"/>\n", | |
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3503 | " <use transform=\"translate(362.291015625 0.125)\" xlink:href=\"#Cmmi10-be\"/>\n", | |
3690 | " <use transform=\"translate(436.9296875 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", |
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3504 | " <use transform=\"translate(436.9296875 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", | |
3691 | " <use transform=\"translate(520.98828125 0.125)\" xlink:href=\"#Cmr10-31\"/>\n", |
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3505 | " <use transform=\"translate(520.98828125 0.125)\" xlink:href=\"#Cmr10-31\"/>\n", | |
3692 | " <use transform=\"translate(570.98828125 0.125)\" xlink:href=\"#Cmr10-29\"/>\n", |
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3506 | " <use transform=\"translate(570.98828125 0.125)\" xlink:href=\"#Cmr10-29\"/>\n", | |
3693 | " <use transform=\"translate(609.806640625 0.125)\" xlink:href=\"#Cmmi10-3b\"/>\n", |
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3507 | " <use transform=\"translate(609.806640625 0.125)\" xlink:href=\"#Cmmi10-3b\"/>\n", | |
3694 | " <use transform=\"translate(665.8125 0.125)\" xlink:href=\"#Cmmi10-4e\"/>\n", |
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3508 | " <use transform=\"translate(665.8125 0.125)\" xlink:href=\"#Cmmi10-4e\"/>\n", | |
3695 | " <use transform=\"translate(763.693359375 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", |
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3509 | " <use transform=\"translate(763.693359375 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n", | |
3696 | " <use transform=\"translate(847.751953125 0.125)\" xlink:href=\"#Cmr10-31\"/>\n", |
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3510 | " <use transform=\"translate(847.751953125 0.125)\" xlink:href=\"#Cmr10-31\"/>\n", | |
3697 | " <use transform=\"translate(897.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", |
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3511 | " <use transform=\"translate(897.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", | |
3698 | " <use transform=\"translate(947.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", |
|
3512 | " <use transform=\"translate(947.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", | |
3699 | " <use transform=\"translate(997.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", |
|
3513 | " <use transform=\"translate(997.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n", | |
3700 | " </g>\n", |
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3514 | " </g>\n", | |
3701 | " </g>\n", |
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3515 | " </g>\n", | |
3702 | " </g>\n", |
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3516 | " </g>\n", | |
3703 | " </g>\n", |
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3517 | " </g>\n", | |
3704 | " <defs>\n", |
|
3518 | " <defs>\n", | |
3705 |
" <clipPath id=\"p |
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3519 | " <clipPath id=\"p169ef6c7ca\">\n", | |
3706 |
" <rect height=\" |
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3520 | " <rect height=\"223.2\" width=\"334.8\" x=\"24.08125\" y=\"21.56\"/>\n", | |
3707 | " </clipPath>\n", |
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3521 | " </clipPath>\n", | |
3708 | " </defs>\n", |
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3522 | " </defs>\n", | |
3709 | "</svg>" |
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3523 | "</svg>" | |
3710 | ], |
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3524 | ], | |
3711 | "text": [ |
|
3525 | "text": [ | |
3712 |
"<IPython.core.display.SVG at 0x1 |
|
3526 | "<IPython.core.display.SVG at 0x1083d5c90>" | |
3713 | ] |
|
3527 | ] | |
3714 | } |
|
3528 | } | |
3715 | ], |
|
3529 | ], | |
3716 | "prompt_number": 5 |
|
3530 | "prompt_number": 5 | |
3717 | }, |
|
3531 | }, | |
3718 | { |
|
3532 | { | |
3719 | "cell_type": "markdown", |
|
3533 | "cell_type": "markdown", | |
3720 | "metadata": {}, |
|
3534 | "metadata": {}, | |
3721 | "source": [ |
|
3535 | "source": [ | |
3722 | "Since IPython only displays by default as an ``Out[]`` cell the result of the last computation, we can use the\n", |
|
3536 | "Since IPython only displays by default as an ``Out[]`` cell the result of the last computation, we can use the\n", | |
3723 | "``display()`` function to show more than one representation in a single cell:" |
|
3537 | "``display()`` function to show more than one representation in a single cell:" | |
3724 | ] |
|
3538 | ] | |
3725 | }, |
|
3539 | }, | |
3726 | { |
|
3540 | { | |
3727 | "cell_type": "code", |
|
3541 | "cell_type": "code", | |
3728 | "collapsed": false, |
|
3542 | "collapsed": false, | |
3729 | "input": [ |
|
3543 | "input": [ | |
3730 | "from IPython.display import display" |
|
3544 | "from IPython.display import display" | |
3731 | ], |
|
3545 | ], | |
3732 | "language": "python", |
|
3546 | "language": "python", | |
3733 | "metadata": {}, |
|
3547 | "metadata": {}, | |
3734 | "outputs": [], |
|
3548 | "outputs": [], | |
3735 | "prompt_number": 6 |
|
3549 | "prompt_number": 6 | |
3736 | }, |
|
3550 | }, | |
3737 | { |
|
3551 | { | |
3738 | "cell_type": "code", |
|
3552 | "cell_type": "code", | |
3739 | "collapsed": false, |
|
3553 | "collapsed": false, | |
3740 | "input": [ |
|
3554 | "input": [ | |
3741 | "display(x.png)\n", |
|
3555 | "display(x.png)\n", | |
3742 | "display(x.svg)" |
|
3556 | "display(x.svg)" | |
3743 | ], |
|
3557 | ], | |
3744 | "language": "python", |
|
3558 | "language": "python", | |
3745 | "metadata": {}, |
|
3559 | "metadata": {}, | |
3746 | "outputs": [ |
|
3560 | "outputs": [ | |
3747 | { |
|
3561 | { | |
3748 | "metadata": {}, |
|
3562 | "metadata": {}, | |
3749 | "output_type": "display_data", |
|
3563 | "output_type": "display_data", | |
3750 | "png": 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pPfR9GVx4on+kEC1n3Qubj2IcPm8hYU7xaDoOX3aWMMJWZk64UZa8skCI7vvE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MzJw5M67nDUanaH/jUomKSbRgvVT6RQcvhOVAOBUvlQ1UBS/kR384+3fu3ImdO3fGdQ8V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\nw9F05h+9ALJ3fsa+sVptjrKZwNnC9ipbMpbNwgpu2uWFE9Yp4nMMs3W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3885 | " </defs>\n", |
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3897 | " </g>\n", |
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4718 | " </g>\n", | |
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3902 | " </g>\n", |
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3931 | " </g>\n", |
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3934 |
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3935 | " <defs>\n", |
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3937 | " </defs>\n", |
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4762 | " </defs>\n", | |
3938 |
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4763 | " <g transform=\"translate(7.2 247.519375)scale(0.1 -0.1)\">\n", | |
3939 |
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3940 |
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3941 | " </g>\n", |
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4766 | " </g>\n", | |
3942 | " </g>\n", |
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3947 |
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3948 | " </g>\n", |
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4774 | " </g>\n", | |
3950 |
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3951 | " <g>\n", |
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4776 | " <g>\n", | |
3952 |
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4779 | " </g>\n", | |
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5167 | " </g>\n", |
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4942 | " </g>\n", | |
5168 | " </g>\n", |
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4943 | " </g>\n", | |
5169 | " </g>\n", |
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4944 | " </g>\n", | |
5170 | " </g>\n", |
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4945 | " </g>\n", | |
5171 | " <defs>\n", |
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4946 | " <defs>\n", | |
5172 |
" <clipPath id=\"p |
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5173 |
" <rect height=\" |
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5174 | " </clipPath>\n", |
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5175 | " </defs>\n", |
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5176 | "</svg>" |
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4951 | "</svg>" | |
5177 | ], |
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4952 | ], | |
5178 | "text": [ |
|
4953 | "text": [ | |
5179 |
"<IPython.core.display.SVG at 0x1 |
|
4954 | "<IPython.core.display.SVG at 0x108861f10>" | |
5180 | ] |
|
4955 | ] | |
5181 | } |
|
4956 | } | |
5182 | ], |
|
4957 | ], | |
5183 | "prompt_number": 7 |
|
4958 | "prompt_number": 7 | |
5184 | }, |
|
4959 | }, | |
5185 | { |
|
4960 | { | |
5186 | "cell_type": "markdown", |
|
4961 | "cell_type": "markdown", | |
5187 | "metadata": {}, |
|
4962 | "metadata": {}, | |
5188 | "source": [ |
|
4963 | "source": [ | |
5189 | "Now let's create a new Gaussian with different parameters" |
|
4964 | "Now let's create a new Gaussian with different parameters" | |
5190 | ] |
|
4965 | ] | |
5191 | }, |
|
4966 | }, | |
5192 | { |
|
4967 | { | |
5193 | "cell_type": "code", |
|
4968 | "cell_type": "code", | |
5194 | "collapsed": false, |
|
4969 | "collapsed": false, | |
5195 | "input": [ |
|
4970 | "input": [ | |
5196 | "x2 = Gaussian(0.5, 0.2, 2000)\n", |
|
4971 | "x2 = Gaussian(0.5, 0.2, 2000)\n", | |
5197 | "x2" |
|
4972 | "x2" | |
5198 | ], |
|
4973 | ], | |
5199 | "language": "python", |
|
4974 | "language": "python", | |
5200 | "metadata": {}, |
|
4975 | "metadata": {}, | |
5201 | "outputs": [ |
|
4976 | "outputs": [ | |
5202 | { |
|
4977 | { | |
5203 | "latex": [ |
|
4978 | "latex": [ | |
5204 | "$\\mathcal{N}(\\mu=0.5, \\sigma=0.2),\\ N=2000$" |
|
4979 | "$\\mathcal{N}(\\mu=0.5, \\sigma=0.2),\\ N=2000$" | |
5205 | ], |
|
4980 | ], | |
5206 | "metadata": {}, |
|
4981 | "metadata": {}, | |
5207 | "output_type": "pyout", |
|
4982 | "output_type": "pyout", | |
5208 | "png": 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VidGwmvTum4mUnuegfP1baK7+GbGJSTjnL7MAAK1B2lu4uggx6QO559WrTIXb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\n0hIqpXEv4vusGCC8Ic6PRdFg6Dm644VqqmKKx6vun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SuU1wuI1Ec9cPFYrDkxEL0a98U5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RlNQDCxb8rt0nwR050oBz59RMNPl4bX//ycaPWthhvz3brud6QkCbgcVi8XrN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\ncvJ1LCNjn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8303 | "text": [ |
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7990 | "text": [ | |
8304 |
"<__main__.Gaussian at 0x1 |
|
7991 | "<__main__.Gaussian at 0x108861e10>" | |
8305 | ] |
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7992 | ] | |
8306 | } |
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7993 | } | |
8307 | ], |
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7994 | ], | |
8308 | "prompt_number": 8 |
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7995 | "prompt_number": 8 | |
8309 | }, |
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7996 | }, | |
8310 | { |
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7997 | { | |
8311 | "cell_type": "markdown", |
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7998 | "cell_type": "markdown", | |
8312 | "metadata": {}, |
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7999 | "metadata": {}, | |
8313 | "source": [ |
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8000 | "source": [ | |
8314 | "We can easily compare them by displaying their histograms" |
|
8001 | "We can easily compare them by displaying their histograms" | |
8315 | ] |
|
8002 | ] | |
8316 | }, |
|
8003 | }, | |
8317 | { |
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8004 | { | |
8318 | "cell_type": "code", |
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8319 | "collapsed": false, |
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8006 | "collapsed": false, | |
8320 | "input": [ |
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8007 | "input": [ | |
8321 | "display(x.hist)\n", |
|
8008 | "display(x.hist)\n", | |
8322 | "display(x2.hist)" |
|
8009 | "display(x2.hist)" | |
8323 | ], |
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8010 | ], | |
8324 | "language": "python", |
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8011 | "language": "python", | |
8325 | "metadata": {}, |
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8012 | "metadata": {}, | |
8326 | "outputs": [ |
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8013 | "outputs": [ | |
8327 | { |
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8014 | { | |
8328 | "metadata": {}, |
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8015 | "metadata": {}, | |
8329 | "output_type": "display_data", |
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8330 | "png": 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AAEMEKAAAAEMEKAAAAEMEKAAAAEMEKAAAAEMEKAAAAEMEKAAAAEP0gQIANJrN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\nkHruEt9371YAAAAASUVORK5CYII=\n", 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8017 | "png": 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| |
8331 | "text": [ |
|
8018 | "text": [ | |
8332 |
"<IPython.core.display.Image at 0x1 |
|
8019 | "<IPython.core.display.Image at 0x1083d5f90>" | |
8333 | ] |
|
8020 | ] | |
8334 | }, |
|
8021 | }, | |
8335 | { |
|
8022 | { | |
8336 | "metadata": {}, |
|
8023 | "metadata": {}, | |
8337 | "output_type": "display_data", |
|
8024 | "output_type": "display_data", | |
8338 | "png": 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Atr6Z6ervzIhnaUBSIFABAMJqvYGydGJNttZtc8YNIlChS2LIDwAAwBCBCgAA\nwBBDfsD/Yd8+wFywuVaRzqsK9meQOVlIFQQq4P+wbx9gLthcq0jnVQX7M8icLKQKhvwAAAAMEagA\nAAAMEagAAAAMEagAAAAMEagAAAAMEagAAAAMEagAAAAMsQ4VuiQW8QTix2SxTyBVEKjQJbGIJxA/\nJot9AqmCIT8AAABDBCoAAABDYYf8mpubtWTJEtXV1Wn27NmSpOrqapWXl8tutysnJ0fFxcUxLxQA\nACBZhf2EaunSpRo2bJj/2O12q7KyUmVlZZo5c6aysrJUVVUV0yIBAACSWdhAdffddys3N9d/XFtb\nK5fLJZvNJkkqLCxUTU1N7CoEAABIcu2eQ9XQ0CCn0+k/djqd8ng8US0KAAAglbQ7UGVlZQUEKI/H\nExCwAAAAupp2r0N1ySWXaMGCBcrPz5fdbldFRYXy8vJiURvQbsEW7MxMc6jxeEtAG4t4AokVbLFP\n/lwilbU7UPXp00cFBQUqLS2Vw+FQdna2ioqKYlEb0G6nW7Cz9aKCLOIJJFawxT75c4lUFnGgOrlk\ngiS5XC65XK6YFAQAAJBqWNgTAADAEIEKAADAEIEKAADAEIEKAADAEIEKAADAULuXTQDiIdh6Un0z\n09XfmZGgigAkq0jXnwt2D+Feg2ghUCEpBVtPas64QdzkALQR6fpzwe4h3GsQLQz5AQAAGCJQAQAA\nGCJQAQAAGGIOFVJGsM1UmTwKAEgGBCqkjGCbqTJ5FACQDBjyAwAAMESgAgAAMMSQHwCgSwg2D9Pb\nbCWoGnQ2BCoAQJcQbB7mtMKcBFWDzoYhPwAAAEMEKgAAAEMEKgAAAEMEKgAAAEMEKgAAAEMEKgAA\nAEMEKgAAAEOsQ4WY2e9pkrvRG9CWmeZQ4/GWsG0stgfgdFrfW7hfIBkQqBAz7kavSlbvCmibVpgT\ndGE9FtsDEKnW9xbuF0gGDPkBAAAYIlABAAAYYsgPIQWbB9U3M139nRkJqihQ681OmUsBdC6J2NA4\n2HMm030PyYlAhZCCzYOaM25Q0txYWm92ylwKoHNJxIbGwZ4zme57SE4M+QEAABgiUAEAABhiyC9J\nJWruUiTruzC/AEBXE+y+F2wNvY7eC5N9virCI1AlqUTNXYpkfRfmFwDoak43lyta98Jkn6+K8Bjy\nAwAAMESgiqEdO3YkuoSE6Kr97qp8Pl+iSwBirqv+nnM/jxxDfmE0Nbfoo6+Oqtn3t7lEZ5+Rpuyz\nu7e5tvWUas8fAAAHuklEQVQY+NfeDDk9TVH7yDbac5eCjdl3dH2XU2v72puhY/vrWROqi/C1tIS/\nCEhxJr/nre+1ke5fGum8LZO2cH+H7Ny5U0OGDDnt+Xhr/Vom0zyzDgeqFStWaOPGjZKk3Nxc3XLL\nLVErKpk0+yzNXfepPjl0zN826f+dFzRQBR0DP6d31N7saM9dOt1ee9Gp7RvWhAIABZ+bGsnaWpHO\n2zJpS7V5Wq1fy2Sqv0NDfnV1ddq7d6/KyspUVlamAwcO6IMPPoh2bQAAACmhQ4Fq8+bNuuqqq/zH\nV111lTZt2hS1ogAAAFJJh4b86uvrlZWV5T92Op06fPhw1IpKJnabTbdf1FeepmZ/2/B+WSF+AgAA\ndDU2y7LaPXN4yZIlGj58uIYPHy7pxKS19evX60c/+lHQ6ysrK42KBAAAiKdTR+Ii0aFPqHJzc1Ve\nXu4PVFVVVbr88sujVhQAAEAq6dAnVJK0fPnygG/5jR8/PqqFAQAApIoOByoAAACcwErpAAAAhghU\nAAAAhghUAAAAhmKyl9++ffv04osvym63Kz09XVOmTFGPHj2CXvvOO+/o97//vX77298qIyM5lo/v\nqEj6/dVXX+n555+Xz+dTc3Ozbr31Vl100UUJqrjjwm09VF1drfLyctntduXk5Ki4uDgRZcZEuL6/\n++67WrNmjdLS0pSZmanJkycrMzMzEaVGTSRbTfl8Ps2bN0+WZenhhx+Od4kxEUm/Gxoa9Nxzz+kn\nP/mJundvuyVVKgrX75PnHQ6HevToocmTJ+vMM89MRKlR1dzcrCVLlqiurk6zZ89uc76z3tfC9bsz\n3tOk8P2W2nlfs2LgF7/4hXXw4EHLsizrww8/tObPnx/0ur1791pLliyxpk+fbh09ejQWpcRVJP1e\nuXKl9eGHH1qWZVmHDx+2Hn300bjWGA3bt2+35s6d6z9esGCBtXXrVv/xX//6V2vatGmWz+ezLMuy\nXn/9dauysjLudcZCuL43Nzdb8+fPt5qamizLsqw//vGP1h/+8Ie41xlN4fp80muvvWatX7/eevrp\np+NZXsxE2u/Fixf7/9x3BpH0+5FHHrG8Xq9lWZb14osvWlu2bIlrjbHyn//5n1ZNTY3185//vM25\nznxfC9XvznhPOylUv09qz30t6kN+n3/+ufr376+zzz5bkjR06FAdOHCgzXUNDQ1auXKlbrvtNkmS\nzWaLdilxFWm/b7jhBg0dOlSS5PV61atXr7jWGQ3hth6qra2Vy+Xyv6eFhYWqqamJe52xEK7vDodD\nU6ZMUXp6uiTp2LFj6tOnT9zrjKZItprasGGDzjrrLA0aNCje5cVMJP1et26dtm3bphdeeEHLly+P\nd4kxEUm/f/CDH+if//mf9dBDD+mrr75KyU/Zg7n77ruVm5sb9Fxnvq+F6ndnvKedFKrfUvvvax0e\n8jt06JDmzZvXpv3CCy+U0+kMfJJu3dTS0iKHwyHpxEdoL730kv7pn/7J32alyOoNJv0+ldvt1sKF\nCzVp0qSY1Ror4bYeamho0MCBAwPOezyeuNYYK+3Zdumdd97RZ599pptvvjle5cVEuD5/8cUX2rJl\niyZOnCi3252IEmMiXL+PHDmi9evXa/r06crIyNArr7yitWvXKj8/PwHVRk+4fjc1NWnlypV65pln\n5HQ6tXjxYr3zzjtyuVyJKDduOvN9LVKd5Z4WiY7c1zocqHr27Klp06YFLeKNN94IaDt+/HhAqDh0\n6JD279+v3/3ud5KkTz75RPPnz9ePf/xjnXPOOR0tKS5M+n3S7t27tXTpUk2ePFm9e/eOWa2xkpWV\nFXAj8Xg8AWEy3PlUFmnf3njjDR05ckQPPPBAPMuLiXB9/uCDD/Tll19qzpw58nq9+vTTT7V48WLd\nddddiSg3asL1u66uTkOGDPHP/bzyyiu1cuXKlA9U4fr96aef6jvf+Y6/7corr9SKFSs6faDqzPe1\nSHSme1okOnJfi/qQ33nnnacDBw7om2++kXTipnPeeecFXNOrVy/NmjVLJSUlKikp0cCBA/WTn/wk\n6cNUKJH0W5Lef/99vfnmm/rZz36WkmFKOjFJtaqqyn9cVVWlvLw8//Ell1yi6upq+Xw+SVJFRUXA\n+VQWru8tLS1auHChMjMzdffddyeixKgL1+drrrlGjz32mEpKSnTfffdp8ODBKR+mpPD9zsrK0rZt\n2/y/55s2bQr4BCNVhet3v379tHv3bnm9XkknhsLOP//8uNcZb535vhZKZ7ynRaIj97WYfMtv4sSJ\neuaZZ+RwOJSenq6pU6dKOnHD8Xq9GjVqVCyeNuEi6feCBQt0/vnn66mnnpIk2e12lZaWJrLsdrvg\nggu0Y8cOPf7445JO3ICHDx+uV155RTfeeKP69OmjgoIClZaWyuFwKDs7W0VFRQmuOjrC9X3nzp3a\nsGGDDhw4oP/93/+VJI0YMUI33XRTIss2Eq7Pp/5fumVZKT8f8qRw/R48eLCGDx+u0tJSdevWTd/6\n1rc0YcKEBFdtLpL3++abb1ZZWZnsdrv69++viRMnJrjq2OkK97VgOvM9LRST+xpbzwAAABhiYU8A\nAABDBCoAAABDBCoAAABDBCoAAABDBCoAAABDBCoAAABDBCoAAABDBCoAAABDBCoAAABD/x+HR7ZU\nosd6xwAAAABJRU5ErkJggg==\n", 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8026 | "text": [ | |
8340 |
"<IPython.core.display.Image at 0x1 |
|
8027 | "<IPython.core.display.Image at 0x104eac510>" | |
8341 | ] |
|
8028 | ] | |
8342 | } |
|
8029 | } | |
8343 | ], |
|
8030 | ], | |
8344 | "prompt_number": 9 |
|
8031 | "prompt_number": 9 | |
8345 | }, |
|
8032 | }, | |
8346 | { |
|
8033 | { | |
8347 | "cell_type": "heading", |
|
8034 | "cell_type": "heading", | |
8348 | "level": 2, |
|
8035 | "level": 2, | |
8349 | "metadata": {}, |
|
8036 | "metadata": {}, | |
8350 | "source": [ |
|
8037 | "source": [ | |
8351 | "Adding IPython display support to existing objects" |
|
8038 | "Adding IPython display support to existing objects" | |
8352 | ] |
|
8039 | ] | |
8353 | }, |
|
8040 | }, | |
8354 | { |
|
8041 | { | |
8355 | "cell_type": "markdown", |
|
8042 | "cell_type": "markdown", | |
8356 | "metadata": {}, |
|
8043 | "metadata": {}, | |
8357 | "source": [ |
|
8044 | "source": [ | |
8358 | "When you are directly writing your own classes, you can adapt them for display in IPython by following the above example. But in practice, we often need to work with existing code we can't modify. We now illustrate how to add these kinds of extended display capabilities to existing objects. We will use the NumPy polynomials and change their default representation to be a formatted LaTeX expression." |
|
8045 | "When you are directly writing your own classes, you can adapt them for display in IPython by following the above example. But in practice, we often need to work with existing code we can't modify. We now illustrate how to add these kinds of extended display capabilities to existing objects. We will use the NumPy polynomials and change their default representation to be a formatted LaTeX expression." | |
8359 | ] |
|
8046 | ] | |
8360 | }, |
|
8047 | }, | |
8361 | { |
|
8048 | { | |
8362 | "cell_type": "markdown", |
|
8049 | "cell_type": "markdown", | |
8363 | "metadata": {}, |
|
8050 | "metadata": {}, | |
8364 | "source": [ |
|
8051 | "source": [ | |
8365 | "First, consider how a numpy polynomial object renders by default:" |
|
8052 | "First, consider how a numpy polynomial object renders by default:" | |
8366 | ] |
|
8053 | ] | |
8367 | }, |
|
8054 | }, | |
8368 | { |
|
8055 | { | |
8369 | "cell_type": "code", |
|
8056 | "cell_type": "code", | |
8370 | "collapsed": false, |
|
8057 | "collapsed": false, | |
8371 | "input": [ |
|
8058 | "input": [ | |
8372 | "p = np.polynomial.Polynomial([1,2,3], [-10, 10])\n", |
|
8059 | "p = np.polynomial.Polynomial([1,2,3], [-10, 10])\n", | |
8373 | "p" |
|
8060 | "p" | |
8374 | ], |
|
8061 | ], | |
8375 | "language": "python", |
|
8062 | "language": "python", | |
8376 | "metadata": {}, |
|
8063 | "metadata": {}, | |
8377 | "outputs": [ |
|
8064 | "outputs": [ | |
8378 | { |
|
8065 | { | |
8379 | "metadata": {}, |
|
8066 | "metadata": {}, | |
8380 | "output_type": "pyout", |
|
8067 | "output_type": "pyout", | |
8381 | "prompt_number": 10, |
|
8068 | "prompt_number": 10, | |
8382 | "text": [ |
|
8069 | "text": [ | |
8383 | "Polynomial([ 1., 2., 3.], [-10., 10.], [-1., 1.])" |
|
8070 | "Polynomial([ 1., 2., 3.], [-10., 10.], [-1., 1.])" | |
8384 | ] |
|
8071 | ] | |
8385 | } |
|
8072 | } | |
8386 | ], |
|
8073 | ], | |
8387 | "prompt_number": 10 |
|
8074 | "prompt_number": 10 | |
8388 | }, |
|
8075 | }, | |
8389 | { |
|
8076 | { | |
8390 | "cell_type": "markdown", |
|
8077 | "cell_type": "markdown", | |
8391 | "metadata": {}, |
|
8078 | "metadata": {}, | |
8392 | "source": [ |
|
8079 | "source": [ | |
8393 | "Next, we define a function that pretty-prints a polynomial as a LaTeX string:" |
|
8080 | "Next, we define a function that pretty-prints a polynomial as a LaTeX string:" | |
8394 | ] |
|
8081 | ] | |
8395 | }, |
|
8082 | }, | |
8396 | { |
|
8083 | { | |
8397 | "cell_type": "code", |
|
8084 | "cell_type": "code", | |
8398 | "collapsed": false, |
|
8085 | "collapsed": false, | |
8399 | "input": [ |
|
8086 | "input": [ | |
8400 | "def poly2latex(p):\n", |
|
8087 | "def poly2latex(p):\n", | |
8401 | " terms = ['%.2g' % p.coef[0]]\n", |
|
8088 | " terms = ['%.2g' % p.coef[0]]\n", | |
8402 | " if len(p) > 1:\n", |
|
8089 | " if len(p) > 1:\n", | |
8403 | " term = 'x'\n", |
|
8090 | " term = 'x'\n", | |
8404 | " c = p.coef[1]\n", |
|
8091 | " c = p.coef[1]\n", | |
8405 | " if c!=1:\n", |
|
8092 | " if c!=1:\n", | |
8406 | " term = ('%.2g ' % c) + term\n", |
|
8093 | " term = ('%.2g ' % c) + term\n", | |
8407 | " terms.append(term)\n", |
|
8094 | " terms.append(term)\n", | |
8408 | " if len(p) > 2:\n", |
|
8095 | " if len(p) > 2:\n", | |
8409 | " for i in range(2, len(p)):\n", |
|
8096 | " for i in range(2, len(p)):\n", | |
8410 | " term = 'x^%d' % i\n", |
|
8097 | " term = 'x^%d' % i\n", | |
8411 | " c = p.coef[i]\n", |
|
8098 | " c = p.coef[i]\n", | |
8412 | " if c!=1:\n", |
|
8099 | " if c!=1:\n", | |
8413 | " term = ('%.2g ' % c) + term\n", |
|
8100 | " term = ('%.2g ' % c) + term\n", | |
8414 | " terms.append(term)\n", |
|
8101 | " terms.append(term)\n", | |
8415 | " px = '$P(x)=%s$' % '+'.join(terms)\n", |
|
8102 | " px = '$P(x)=%s$' % '+'.join(terms)\n", | |
8416 | " dom = r', domain: $[%.2g,\\ %.2g]$' % tuple(p.domain)\n", |
|
8103 | " dom = r', domain: $[%.2g,\\ %.2g]$' % tuple(p.domain)\n", | |
8417 | " return px+dom" |
|
8104 | " return px+dom" | |
8418 | ], |
|
8105 | ], | |
8419 | "language": "python", |
|
8106 | "language": "python", | |
8420 | "metadata": {}, |
|
8107 | "metadata": {}, | |
8421 | "outputs": [], |
|
8108 | "outputs": [], | |
8422 | "prompt_number": 11 |
|
8109 | "prompt_number": 11 | |
8423 | }, |
|
8110 | }, | |
8424 | { |
|
8111 | { | |
8425 | "cell_type": "markdown", |
|
8112 | "cell_type": "markdown", | |
8426 | "metadata": {}, |
|
8113 | "metadata": {}, | |
8427 | "source": [ |
|
8114 | "source": [ | |
8428 | "This produces, on our polynomial ``p``, the following:" |
|
8115 | "This produces, on our polynomial ``p``, the following:" | |
8429 | ] |
|
8116 | ] | |
8430 | }, |
|
8117 | }, | |
8431 | { |
|
8118 | { | |
8432 | "cell_type": "code", |
|
8119 | "cell_type": "code", | |
8433 | "collapsed": false, |
|
8120 | "collapsed": false, | |
8434 | "input": [ |
|
8121 | "input": [ | |
8435 | "poly2latex(p)" |
|
8122 | "poly2latex(p)" | |
8436 | ], |
|
8123 | ], | |
8437 | "language": "python", |
|
8124 | "language": "python", | |
8438 | "metadata": {}, |
|
8125 | "metadata": {}, | |
8439 | "outputs": [ |
|
8126 | "outputs": [ | |
8440 | { |
|
8127 | { | |
8441 | "metadata": {}, |
|
8128 | "metadata": {}, | |
8442 | "output_type": "pyout", |
|
8129 | "output_type": "pyout", | |
8443 | "prompt_number": 12, |
|
8130 | "prompt_number": 12, | |
8444 | "text": [ |
|
8131 | "text": [ | |
8445 | "'$P(x)=1+2 x+3 x^2$, domain: $[-10,\\\\ 10]$'" |
|
8132 | "'$P(x)=1+2 x+3 x^2$, domain: $[-10,\\\\ 10]$'" | |
8446 | ] |
|
8133 | ] | |
8447 | } |
|
8134 | } | |
8448 | ], |
|
8135 | ], | |
8449 | "prompt_number": 12 |
|
8136 | "prompt_number": 12 | |
8450 | }, |
|
8137 | }, | |
8451 | { |
|
8138 | { | |
8452 | "cell_type": "code", |
|
8139 | "cell_type": "code", | |
8453 | "collapsed": false, |
|
8140 | "collapsed": false, | |
8454 | "input": [ |
|
8141 | "input": [ | |
8455 | "from IPython.display import Latex\n", |
|
8142 | "from IPython.display import Latex\n", | |
8456 | "Latex(poly2latex(p))" |
|
8143 | "Latex(poly2latex(p))" | |
8457 | ], |
|
8144 | ], | |
8458 | "language": "python", |
|
8145 | "language": "python", | |
8459 | "metadata": {}, |
|
8146 | "metadata": {}, | |
8460 | "outputs": [ |
|
8147 | "outputs": [ | |
8461 | { |
|
8148 | { | |
8462 | "latex": [ |
|
8149 | "latex": [ | |
8463 | "$P(x)=1+2 x+3 x^2$, domain: $[-10,\\ 10]$" |
|
8150 | "$P(x)=1+2 x+3 x^2$, domain: $[-10,\\ 10]$" | |
8464 | ], |
|
8151 | ], | |
8465 | "metadata": {}, |
|
8152 | "metadata": {}, | |
8466 | "output_type": "pyout", |
|
8153 | "output_type": "pyout", | |
8467 | "prompt_number": 13, |
|
8154 | "prompt_number": 13, | |
8468 | "text": [ |
|
8155 | "text": [ | |
8469 |
"<IPython.core.display.Latex at 0x1 |
|
8156 | "<IPython.core.display.Latex at 0x1083cbe10>" | |
8470 | ] |
|
8157 | ] | |
8471 | } |
|
8158 | } | |
8472 | ], |
|
8159 | ], | |
8473 | "prompt_number": 13 |
|
8160 | "prompt_number": 13 | |
8474 | }, |
|
8161 | }, | |
8475 | { |
|
8162 | { | |
8476 | "cell_type": "markdown", |
|
8163 | "cell_type": "markdown", | |
8477 | "metadata": {}, |
|
8164 | "metadata": {}, | |
8478 | "source": [ |
|
8165 | "source": [ | |
8479 | "But we can configure IPython to do this automatically for us as follows. We hook into the\n", |
|
8166 | "But we can configure IPython to do this automatically for us as follows. We hook into the\n", | |
8480 | "IPython display system and instruct it to use ``poly2latex`` for the latex mimetype, when\n", |
|
8167 | "IPython display system and instruct it to use ``poly2latex`` for the latex mimetype, when\n", | |
8481 | "encountering objects of the ``Polynomial`` type defined in the\n", |
|
8168 | "encountering objects of the ``Polynomial`` type defined in the\n", | |
8482 | "``numpy.polynomial.polynomial`` module:" |
|
8169 | "``numpy.polynomial.polynomial`` module:" | |
8483 | ] |
|
8170 | ] | |
8484 | }, |
|
8171 | }, | |
8485 | { |
|
8172 | { | |
8486 | "cell_type": "code", |
|
8173 | "cell_type": "code", | |
8487 | "collapsed": false, |
|
8174 | "collapsed": false, | |
8488 | "input": [ |
|
8175 | "input": [ | |
8489 | "ip = get_ipython()\n", |
|
8176 | "ip = get_ipython()\n", | |
8490 | "latex_formatter = ip.display_formatter.formatters['text/latex']\n", |
|
8177 | "latex_formatter = ip.display_formatter.formatters['text/latex']\n", | |
8491 | "latex_formatter.for_type_by_name('numpy.polynomial.polynomial',\n", |
|
8178 | "latex_formatter.for_type_by_name('numpy.polynomial.polynomial',\n", | |
8492 | " 'Polynomial', poly2latex)" |
|
8179 | " 'Polynomial', poly2latex)" | |
8493 | ], |
|
8180 | ], | |
8494 | "language": "python", |
|
8181 | "language": "python", | |
8495 | "metadata": {}, |
|
8182 | "metadata": {}, | |
8496 | "outputs": [], |
|
8183 | "outputs": [], | |
8497 | "prompt_number": 14 |
|
8184 | "prompt_number": 14 | |
8498 | }, |
|
8185 | }, | |
8499 | { |
|
8186 | { | |
8500 | "cell_type": "markdown", |
|
8187 | "cell_type": "markdown", | |
8501 | "metadata": {}, |
|
8188 | "metadata": {}, | |
8502 | "source": [ |
|
8189 | "source": [ | |
8503 | "For more examples on how to use the above system, and how to bundle similar print functions\n", |
|
8190 | "For more examples on how to use the above system, and how to bundle similar print functions\n", | |
8504 | "into a convenient IPython extension, see sympy's [`printing` extension](https://github.com/sympy/sympy/blob/master/sympy/interactive/printing.py).\n", |
|
8191 | "into a convenient IPython extension, see sympy's [`printing` extension](https://github.com/sympy/sympy/blob/master/sympy/interactive/printing.py).\n", | |
8505 | "\n", |
|
8192 | "\n", | |
8506 | "Once our special printer has been loaded, all polynomials will be represented by their \n", |
|
8193 | "Once our special printer has been loaded, all polynomials will be represented by their \n", | |
8507 | "mathematical form instead:" |
|
8194 | "mathematical form instead:" | |
8508 | ] |
|
8195 | ] | |
8509 | }, |
|
8196 | }, | |
8510 | { |
|
8197 | { | |
8511 | "cell_type": "code", |
|
8198 | "cell_type": "code", | |
8512 | "collapsed": false, |
|
8199 | "collapsed": false, | |
8513 | "input": [ |
|
8200 | "input": [ | |
8514 | "p" |
|
8201 | "p" | |
8515 | ], |
|
8202 | ], | |
8516 | "language": "python", |
|
8203 | "language": "python", | |
8517 | "metadata": {}, |
|
8204 | "metadata": {}, | |
8518 | "outputs": [ |
|
8205 | "outputs": [ | |
8519 | { |
|
8206 | { | |
8520 | "latex": [ |
|
8207 | "latex": [ | |
8521 | "$P(x)=1+2 x+3 x^2$, domain: $[-10,\\ 10]$" |
|
8208 | "$P(x)=1+2 x+3 x^2$, domain: $[-10,\\ 10]$" | |
8522 | ], |
|
8209 | ], | |
8523 | "metadata": {}, |
|
8210 | "metadata": {}, | |
8524 | "output_type": "pyout", |
|
8211 | "output_type": "pyout", | |
8525 | "prompt_number": 15, |
|
8212 | "prompt_number": 15, | |
8526 | "text": [ |
|
8213 | "text": [ | |
8527 | "Polynomial([ 1., 2., 3.], [-10., 10.], [-1., 1.])" |
|
8214 | "Polynomial([ 1., 2., 3.], [-10., 10.], [-1., 1.])" | |
8528 | ] |
|
8215 | ] | |
8529 | } |
|
8216 | } | |
8530 | ], |
|
8217 | ], | |
8531 | "prompt_number": 15 |
|
8218 | "prompt_number": 15 | |
8532 | }, |
|
8219 | }, | |
8533 | { |
|
8220 | { | |
8534 | "cell_type": "code", |
|
8221 | "cell_type": "code", | |
8535 | "collapsed": false, |
|
8222 | "collapsed": false, | |
8536 | "input": [ |
|
8223 | "input": [ | |
8537 | "p2 = np.polynomial.Polynomial([-20, 71, -15, 1])\n", |
|
8224 | "p2 = np.polynomial.Polynomial([-20, 71, -15, 1])\n", | |
8538 | "p2" |
|
8225 | "p2" | |
8539 | ], |
|
8226 | ], | |
8540 | "language": "python", |
|
8227 | "language": "python", | |
8541 | "metadata": {}, |
|
8228 | "metadata": {}, | |
8542 | "outputs": [ |
|
8229 | "outputs": [ | |
8543 | { |
|
8230 | { | |
8544 | "latex": [ |
|
8231 | "latex": [ | |
8545 | "$P(x)=-20+71 x+-15 x^2+x^3$, domain: $[-1,\\ 1]$" |
|
8232 | "$P(x)=-20+71 x+-15 x^2+x^3$, domain: $[-1,\\ 1]$" | |
8546 | ], |
|
8233 | ], | |
8547 | "metadata": {}, |
|
8234 | "metadata": {}, | |
8548 | "output_type": "pyout", |
|
8235 | "output_type": "pyout", | |
8549 |
"prompt_number": 1 |
|
8236 | "prompt_number": 16, | |
8550 | "text": [ |
|
8237 | "text": [ | |
8551 | "Polynomial([-20., 71., -15., 1.], [-1., 1.], [-1., 1.])" |
|
8238 | "Polynomial([-20., 71., -15., 1.], [-1., 1.], [-1., 1.])" | |
8552 | ] |
|
8239 | ] | |
8553 | } |
|
8240 | } | |
8554 | ], |
|
8241 | ], | |
8555 |
"prompt_number": 1 |
|
8242 | "prompt_number": 16 | |
8556 | }, |
|
8243 | }, | |
8557 | { |
|
8244 | { | |
8558 | "cell_type": "heading", |
|
8245 | "cell_type": "heading", | |
8559 | "level": 2, |
|
8246 | "level": 2, | |
8560 | "metadata": {}, |
|
8247 | "metadata": {}, | |
8561 | "source": [ |
|
8248 | "source": [ | |
8562 | "More complex display with `_ipython_display_`" |
|
8249 | "More complex display with `_ipython_display_`" | |
8563 | ] |
|
8250 | ] | |
8564 | }, |
|
8251 | }, | |
8565 | { |
|
8252 | { | |
8566 | "cell_type": "markdown", |
|
8253 | "cell_type": "markdown", | |
8567 | "metadata": {}, |
|
8254 | "metadata": {}, | |
8568 | "source": [ |
|
8255 | "source": [ | |
8569 | "Rich reprs can only display one object or mime-type at a time.\n", |
|
8256 | "Rich reprs can only display one object or mime-type at a time.\n", | |
8570 | "Sometimes this is not enough,\n", |
|
8257 | "Sometimes this is not enough,\n", | |
8571 | "because you need to get javascript on the page, or you want LaTeX and a PNG.\n", |
|
8258 | "because you need to get javascript on the page, or you want LaTeX and a PNG.\n", | |
8572 | "This can be done with multiple calls to display easily enough,\n", |
|
8259 | "This can be done with multiple calls to display easily enough,\n", | |
8573 | "but then users need to know more than they should.\n", |
|
8260 | "but then users need to know more than they should.\n", | |
8574 | "\n", |
|
8261 | "\n", | |
8575 | "In **IPython 2.0**, we added a special `_ipython_display_` method,\n", |
|
8262 | "In **IPython 2.0**, we added a special `_ipython_display_` method,\n", | |
8576 | "that allows your objects to take control of displaying.\n", |
|
8263 | "that allows your objects to take control of displaying.\n", | |
8577 | "If this method is defined, IPython will call it, and make no effort to display the object itself.\n", |
|
8264 | "If this method is defined, IPython will call it, and make no effort to display the object itself.\n", | |
8578 | "It's a way for you to say \"Back off, IPython, I got this.\"" |
|
8265 | "It's a way for you to say \"Back off, IPython, I got this.\"" | |
8579 | ] |
|
8266 | ] | |
8580 | }, |
|
8267 | }, | |
8581 | { |
|
8268 | { | |
8582 | "cell_type": "code", |
|
8269 | "cell_type": "code", | |
8583 | "collapsed": false, |
|
8270 | "collapsed": false, | |
8584 | "input": [ |
|
8271 | "input": [ | |
8585 | "import json\n", |
|
8272 | "import json\n", | |
8586 | "import uuid\n", |
|
8273 | "import uuid\n", | |
8587 | "from IPython.display import display_javascript, display_html, display\n", |
|
8274 | "from IPython.display import display_javascript, display_html, display\n", | |
8588 | "\n", |
|
8275 | "\n", | |
8589 | "class FlotPlot(object):\n", |
|
8276 | "class FlotPlot(object):\n", | |
8590 | " def __init__(self, x, y):\n", |
|
8277 | " def __init__(self, x, y):\n", | |
8591 | " self.x = x\n", |
|
8278 | " self.x = x\n", | |
8592 | " self.y = y\n", |
|
8279 | " self.y = y\n", | |
8593 | " self.uuid = str(uuid.uuid4())\n", |
|
8280 | " self.uuid = str(uuid.uuid4())\n", | |
8594 | " \n", |
|
8281 | " \n", | |
8595 | " def _ipython_display_(self):\n", |
|
8282 | " def _ipython_display_(self):\n", | |
8596 | " json_data = json.dumps(zip(self.x, self.y))\n", |
|
8283 | " json_data = json.dumps(zip(self.x, self.y))\n", | |
8597 | " display_html('<div id=\"{}\" style=\"height: 300px; width:80%;\"></div>'.format(self.uuid),\n", |
|
8284 | " display_html('<div id=\"{}\" style=\"height: 300px; width:80%;\"></div>'.format(self.uuid),\n", | |
8598 | " raw=True\n", |
|
8285 | " raw=True\n", | |
8599 | " )\n", |
|
8286 | " )\n", | |
8600 | " display_javascript(\"\"\"\n", |
|
8287 | " display_javascript(\"\"\"\n", | |
8601 | " require([\"//cdnjs.cloudflare.com/ajax/libs/flot/0.8.2/jquery.flot.min.js\"], function() {\n", |
|
8288 | " require([\"//cdnjs.cloudflare.com/ajax/libs/flot/0.8.2/jquery.flot.min.js\"], function() {\n", | |
8602 | " var line = JSON.parse(\"%s\");\n", |
|
8289 | " var line = JSON.parse(\"%s\");\n", | |
8603 | " console.log(line);\n", |
|
8290 | " console.log(line);\n", | |
8604 | " $.plot(\"#%s\", [line]);\n", |
|
8291 | " $.plot(\"#%s\", [line]);\n", | |
8605 | " });\n", |
|
8292 | " });\n", | |
8606 | " \"\"\" % (json_data, self.uuid), raw=True)\n" |
|
8293 | " \"\"\" % (json_data, self.uuid), raw=True)\n" | |
8607 | ], |
|
8294 | ], | |
8608 | "language": "python", |
|
8295 | "language": "python", | |
8609 | "metadata": {}, |
|
8296 | "metadata": {}, | |
8610 | "outputs": [], |
|
8297 | "outputs": [], | |
8611 | "prompt_number": 17 |
|
8298 | "prompt_number": 17 | |
8612 | }, |
|
8299 | }, | |
8613 | { |
|
8300 | { | |
8614 | "cell_type": "code", |
|
8301 | "cell_type": "code", | |
8615 | "collapsed": false, |
|
8302 | "collapsed": false, | |
8616 | "input": [ |
|
8303 | "input": [ | |
8617 | "import numpy as np\n", |
|
8304 | "import numpy as np\n", | |
8618 | "x = np.linspace(0,10)\n", |
|
8305 | "x = np.linspace(0,10)\n", | |
8619 | "y = np.sin(x)\n", |
|
8306 | "y = np.sin(x)\n", | |
8620 | "FlotPlot(x, np.sin(x))" |
|
8307 | "FlotPlot(x, np.sin(x))" | |
8621 | ], |
|
8308 | ], | |
8622 | "language": "python", |
|
8309 | "language": "python", | |
8623 | "metadata": {}, |
|
8310 | "metadata": {}, | |
8624 | "outputs": [ |
|
8311 | "outputs": [ | |
8625 | { |
|
8312 | { | |
8626 | "html": [ |
|
8313 | "html": [ | |
8627 |
"<div id=\" |
|
8314 | "<div id=\"47ba8d73-8a8b-4a34-b96b-378e969797f2\" style=\"height: 300px; width:80%;\"></div>" | |
8628 | ], |
|
8315 | ], | |
8629 | "metadata": {}, |
|
8316 | "metadata": {}, | |
8630 | "output_type": "display_data" |
|
8317 | "output_type": "display_data" | |
8631 | }, |
|
8318 | }, | |
8632 | { |
|
8319 | { | |
8633 | "javascript": [ |
|
8320 | "javascript": [ | |
8634 | "\n", |
|
8321 | "\n", | |
8635 | " require([\"//cdnjs.cloudflare.com/ajax/libs/flot/0.8.2/jquery.flot.min.js\"], function() {\n", |
|
8322 | " require([\"//cdnjs.cloudflare.com/ajax/libs/flot/0.8.2/jquery.flot.min.js\"], function() {\n", | |
8636 | " var line = JSON.parse(\"[[0.0, 0.0], [0.20408163265306123, 0.20266793654820095], [0.40816326530612246, 0.39692414892492234], [0.61224489795918369, 0.57470604121617908], [0.81632653061224492, 0.72863478346935029], [1.0204081632653061, 0.85232156971961837], [1.2244897959183674, 0.94063278511248671], [1.4285714285714286, 0.98990307637212394], [1.6326530612244898, 0.99808748213471832], [1.8367346938775511, 0.96484630898376322], [2.0408163265306123, 0.89155923041100371], [2.2448979591836737, 0.7812680235262639], [2.4489795918367347, 0.63855032022660208], [2.6530612244897958, 0.46932961277720098], [2.8571428571428572, 0.28062939951435684], [3.0612244897959187, 0.080281674842813497], [3.2653061224489797, -0.12339813736217871], [3.4693877551020407, -0.32195631507261868], [3.6734693877551021, -0.50715170948451438], [3.8775510204081636, -0.67129779355193209], [4.0816326530612246, -0.80758169096833643], [4.2857142857142856, -0.91034694431078278], [4.4897959183673475, -0.97532828606704558], [4.6938775510204085, -0.99982866838408957], [4.8979591836734695, -0.98283120392563061], [5.1020408163265305, -0.92504137173820289], [5.3061224489795915, -0.82885773637304272], [5.5102040816326534, -0.69827239556539955], [5.7142857142857144, -0.53870528838615628], [5.9183673469387754, -0.35677924089893803], [6.1224489795918373, -0.16004508604325057], [6.3265306122448983, 0.043331733368683463], [6.5306122448979593, 0.24491007101197931], [6.7346938775510203, 0.43632342647181932], [6.9387755102040813, 0.6096271964908323], [7.1428571428571432, 0.75762841539272019], [7.3469387755102042, 0.87418429881973347], [7.5510204081632653, 0.95445719973875187], [7.7551020408163271, 0.99511539477766364], [7.9591836734693882, 0.99447136726361685], [8.1632653061224492, 0.95255184753146038], [8.3673469387755102, 0.87109670348232071], [8.5714285714285712, 0.75348672743963763], [8.7755102040816322, 0.60460331650615429], [8.979591836734695, 0.43062587038273736], [9.183673469387756, 0.23877531564403087], [9.387755102040817, 0.037014401485062368], [9.591836734693878, -0.16628279384875641], [9.795918367346939, -0.36267842882654883], [10.0, -0.54402111088936989]]\");\n", |
|
8323 | " var line = JSON.parse(\"[[0.0, 0.0], [0.20408163265306123, 0.20266793654820095], [0.40816326530612246, 0.39692414892492234], [0.61224489795918369, 0.57470604121617908], [0.81632653061224492, 0.72863478346935029], [1.0204081632653061, 0.85232156971961837], [1.2244897959183674, 0.94063278511248671], [1.4285714285714286, 0.98990307637212394], [1.6326530612244898, 0.99808748213471832], [1.8367346938775511, 0.96484630898376322], [2.0408163265306123, 0.89155923041100371], [2.2448979591836737, 0.7812680235262639], [2.4489795918367347, 0.63855032022660208], [2.6530612244897958, 0.46932961277720098], [2.8571428571428572, 0.28062939951435684], [3.0612244897959187, 0.080281674842813497], [3.2653061224489797, -0.12339813736217871], [3.4693877551020407, -0.32195631507261868], [3.6734693877551021, -0.50715170948451438], [3.8775510204081636, -0.67129779355193209], [4.0816326530612246, -0.80758169096833643], [4.2857142857142856, -0.91034694431078278], [4.4897959183673475, -0.97532828606704558], [4.6938775510204085, -0.99982866838408957], [4.8979591836734695, -0.98283120392563061], [5.1020408163265305, -0.92504137173820289], [5.3061224489795915, -0.82885773637304272], [5.5102040816326534, -0.69827239556539955], [5.7142857142857144, -0.53870528838615628], [5.9183673469387754, -0.35677924089893803], [6.1224489795918373, -0.16004508604325057], [6.3265306122448983, 0.043331733368683463], [6.5306122448979593, 0.24491007101197931], [6.7346938775510203, 0.43632342647181932], [6.9387755102040813, 0.6096271964908323], [7.1428571428571432, 0.75762841539272019], [7.3469387755102042, 0.87418429881973347], [7.5510204081632653, 0.95445719973875187], [7.7551020408163271, 0.99511539477766364], [7.9591836734693882, 0.99447136726361685], [8.1632653061224492, 0.95255184753146038], [8.3673469387755102, 0.87109670348232071], [8.5714285714285712, 0.75348672743963763], [8.7755102040816322, 0.60460331650615429], [8.979591836734695, 0.43062587038273736], [9.183673469387756, 0.23877531564403087], [9.387755102040817, 0.037014401485062368], [9.591836734693878, -0.16628279384875641], [9.795918367346939, -0.36267842882654883], [10.0, -0.54402111088936989]]\");\n", | |
8637 | " console.log(line);\n", |
|
8324 | " console.log(line);\n", | |
8638 |
" $.plot(\"# |
|
8325 | " $.plot(\"#47ba8d73-8a8b-4a34-b96b-378e969797f2\", [line]);\n", | |
8639 | " });\n", |
|
8326 | " });\n", | |
8640 | " " |
|
8327 | " " | |
8641 | ], |
|
8328 | ], | |
8642 | "metadata": {}, |
|
8329 | "metadata": {}, | |
8643 | "output_type": "display_data" |
|
8330 | "output_type": "display_data" | |
8644 | } |
|
8331 | } | |
8645 | ], |
|
8332 | ], | |
8646 |
"prompt_number": 1 |
|
8333 | "prompt_number": 18 | |
8647 | } |
|
8334 | } | |
8648 | ], |
|
8335 | ], | |
8649 | "metadata": {} |
|
8336 | "metadata": {} | |
8650 | } |
|
8337 | } | |
8651 | ] |
|
8338 | ] | |
8652 | } No newline at end of file |
|
8339 | } |
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