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Finishing the display example notebooks.
Brian Granger -
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1 {
1 {
2 "metadata": {
2 "metadata": {
3 "name": "Custom Display Logic"
3 "name": "Custom Display Logic"
4 },
4 },
5 "nbformat": 3,
5 "nbformat": 3,
6 "nbformat_minor": 0,
6 "nbformat_minor": 0,
7 "worksheets": [
7 "worksheets": [
8 {
8 {
9 "cells": [
9 "cells": [
10 {
10 {
11 "cell_type": "heading",
11 "cell_type": "heading",
12 "level": 1,
12 "level": 1,
13 "metadata": {},
13 "metadata": {},
14 "source": [
14 "source": [
15 "Defining Custom Display Logic for Your Own Objects"
15 "Defining Custom Display Logic for Your Own Objects"
16 ]
16 ]
17 },
17 },
18 {
18 {
19 "cell_type": "heading",
20 "level": 2,
21 "metadata": {},
22 "source": [
23 "Overview"
24 ]
25 },
26 {
19 "cell_type": "markdown",
27 "cell_type": "markdown",
20 "metadata": {},
28 "metadata": {},
21 "source": [
29 "source": [
22 "IPython extends the idea of the ``__repr__`` method in Python to support multiple representations for a given\n",
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",
23 "object, which clients can use to display the object according to their capabilities. An object can return multiple\n",
31 "\n",
24 "representations of itself by implementing special methods, and you can also define at runtime custom display \n",
32 "* HTML\n",
25 "functions for existing objects whose methods you can't or won't modify. In this notebook, we show how both approaches work."
33 "* JSON\n",
34 "* PNG\n",
35 "* JPEG\n",
36 "* SVG\n",
37 "* LaTeX\n",
38 "\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",
40 "\n",
41 "1. Implementing special display methods such as `_repr_html_`.\n",
42 "2. Registering a display function for a particular type.\n",
43 "\n",
44 "In this Notebook we show how both approaches work."
26 ]
45 ]
27 },
46 },
28 {
47 {
29 "cell_type": "markdown",
48 "cell_type": "markdown",
30 "metadata": {},
49 "metadata": {},
31 "source": [
50 "source": [
32 "Parts of this notebook need the inline matplotlib backend:"
51 "Parts of this notebook need the inline matplotlib backend:"
33 ]
52 ]
34 },
53 },
35 {
54 {
36 "cell_type": "code",
55 "cell_type": "code",
37 "collapsed": false,
56 "collapsed": false,
38 "input": [
57 "input": [
39 "%pylab inline"
58 "%pylab inline"
40 ],
59 ],
41 "language": "python",
60 "language": "python",
42 "metadata": {},
61 "metadata": {},
43 "outputs": []
62 "outputs": [
63 {
64 "output_type": "stream",
65 "stream": "stdout",
66 "text": [
67 "\n",
68 "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n",
69 "For more information, type 'help(pylab)'.\n"
70 ]
71 }
72 ],
73 "prompt_number": 1
44 },
74 },
45 {
75 {
46 "cell_type": "heading",
76 "cell_type": "heading",
47 "level": 2,
77 "level": 2,
48 "metadata": {},
78 "metadata": {},
49 "source": [
79 "source": [
50 "Custom-built classes with dedicated ``_repr_*_`` methods"
80 "Implementing special display methods"
51 ]
81 ]
52 },
82 },
53 {
83 {
54 "cell_type": "markdown",
84 "cell_type": "markdown",
55 "metadata": {},
85 "metadata": {},
56 "source": [
86 "source": [
57 "In our first example, we illustrate how objects can expose directly to IPython special representations of\n",
87 "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",
58 "themselves, by providing methods such as ``_repr_svg_``, ``_repr_png_``, ``_repr_latex_``, etc. For a full\n",
59 "list of the special ``_repr_*_`` methods supported, see the code in ``IPython.core.displaypub``.\n",
60 "\n",
88 "\n",
61 "As an illustration, we build a class that holds data generated by sampling a Gaussian distribution with given mean \n",
89 "* _repr_html_\n",
62 "and variance. The class can display itself in a variety of ways: as a LaTeX expression or as an image in PNG or SVG \n",
90 "* _repr_json_\n",
63 "format. Each frontend can then decide which representation it can handle.\n",
91 "* _repr_jpeg_\n",
64 "Further, we illustrate how to expose directly to the user the ability to directly access the various alternate \n",
92 "* _repr_png_\n",
65 "representations (since by default displaying the object itself will only show one, and which is shown will depend on the \n",
93 "* _repr_svg_\n",
66 "required representations that even cache necessary data in cases where it may be expensive to compute.\n",
94 "* _repr_latex_\n",
67 "\n",
95 "\n",
96 "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."
97 ]
98 },
99 {
100 "cell_type": "markdown",
101 "metadata": {},
102 "source": [
68 "The next cell defines the Gaussian class:"
103 "The next cell defines the Gaussian class:"
69 ]
104 ]
70 },
105 },
71 {
106 {
72 "cell_type": "code",
107 "cell_type": "code",
73 "collapsed": false,
108 "collapsed": false,
74 "input": [
109 "input": [
75 "from IPython.core.pylabtools import print_figure\n",
110 "from IPython.core.pylabtools import print_figure\n",
76 "from IPython.display import Image, SVG, Math\n",
111 "from IPython.display import Image, SVG, Math\n",
77 "\n",
112 "\n",
78 "class Gaussian(object):\n",
113 "class Gaussian(object):\n",
79 " \"\"\"A simple object holding data sampled from a Gaussian distribution.\n",
114 " \"\"\"A simple object holding data sampled from a Gaussian distribution.\n",
80 " \"\"\"\n",
115 " \"\"\"\n",
81 " def __init__(self, mean=0, std=1, size=1000):\n",
116 " def __init__(self, mean=0, std=1, size=1000):\n",
82 " self.data = np.random.normal(mean, std, size)\n",
117 " self.data = np.random.normal(mean, std, size)\n",
83 " self.mean = mean\n",
118 " self.mean = mean\n",
84 " self.std = std\n",
119 " self.std = std\n",
85 " self.size = size\n",
120 " self.size = size\n",
86 " # For caching plots that may be expensive to compute\n",
121 " # For caching plots that may be expensive to compute\n",
87 " self._png_data = None\n",
122 " self._png_data = None\n",
88 " self._svg_data = None\n",
123 " self._svg_data = None\n",
89 " \n",
124 " \n",
90 " def _figure_data(self, format):\n",
125 " def _figure_data(self, format):\n",
91 " fig, ax = plt.subplots()\n",
126 " fig, ax = plt.subplots()\n",
92 " ax.plot(self.data, 'o')\n",
127 " ax.plot(self.data, 'o')\n",
93 " ax.set_title(self._repr_latex_())\n",
128 " ax.set_title(self._repr_latex_())\n",
94 " data = print_figure(fig, format)\n",
129 " data = print_figure(fig, format)\n",
95 " # We MUST close the figure, otherwise IPython's display machinery\n",
130 " # We MUST close the figure, otherwise IPython's display machinery\n",
96 " # will pick it up and send it as output, resulting in a double display\n",
131 " # will pick it up and send it as output, resulting in a double display\n",
97 " plt.close(fig)\n",
132 " plt.close(fig)\n",
98 " return data\n",
133 " return data\n",
99 " \n",
134 " \n",
100 " # Here we define the special repr methods that provide the IPython display protocol\n",
135 " # Here we define the special repr methods that provide the IPython display protocol\n",
101 " # Note that for the two figures, we cache the figure data once computed.\n",
136 " # Note that for the two figures, we cache the figure data once computed.\n",
102 " \n",
137 " \n",
103 " def _repr_png_(self):\n",
138 " def _repr_png_(self):\n",
104 " if self._png_data is None:\n",
139 " if self._png_data is None:\n",
105 " self._png_data = self._figure_data('png')\n",
140 " self._png_data = self._figure_data('png')\n",
106 " return self._png_data\n",
141 " return self._png_data\n",
107 "\n",
142 "\n",
108 "\n",
143 "\n",
109 " def _repr_svg_(self):\n",
144 " def _repr_svg_(self):\n",
110 " if self._svg_data is None:\n",
145 " if self._svg_data is None:\n",
111 " self._svg_data = self._figure_data('svg')\n",
146 " self._svg_data = self._figure_data('svg')\n",
112 " return self._svg_data\n",
147 " return self._svg_data\n",
113 " \n",
148 " \n",
114 " def _repr_latex_(self):\n",
149 " def _repr_latex_(self):\n",
115 " return r'$\\mathcal{N}(\\mu=%.2g, \\sigma=%.2g),\\ N=%d$' % (self.mean,\n",
150 " return r'$\\mathcal{N}(\\mu=%.2g, \\sigma=%.2g),\\ N=%d$' % (self.mean,\n",
116 " self.std, self.size)\n",
151 " self.std, self.size)\n",
117 " \n",
152 " \n",
118 " # We expose as properties some of the above reprs, so that the user can see them\n",
153 " # We expose as properties some of the above reprs, so that the user can see them\n",
119 " # directly (since otherwise the client dictates which one it shows by default)\n",
154 " # directly (since otherwise the client dictates which one it shows by default)\n",
120 " @property\n",
155 " @property\n",
121 " def png(self):\n",
156 " def png(self):\n",
122 " return Image(self._repr_png_(), embed=True)\n",
157 " return Image(self._repr_png_(), embed=True)\n",
123 " \n",
158 " \n",
124 " @property\n",
159 " @property\n",
125 " def svg(self):\n",
160 " def svg(self):\n",
126 " return SVG(self._repr_svg_())\n",
161 " return SVG(self._repr_svg_())\n",
127 " \n",
162 " \n",
128 " @property\n",
163 " @property\n",
129 " def latex(self):\n",
164 " def latex(self):\n",
130 " return Math(self._repr_svg_())\n",
165 " return Math(self._repr_svg_())\n",
131 " \n",
166 " \n",
132 " # An example of using a property to display rich information, in this case\n",
167 " # An example of using a property to display rich information, in this case\n",
133 " # the histogram of the distribution. We've hardcoded the format to be png\n",
168 " # the histogram of the distribution. We've hardcoded the format to be png\n",
134 " # in this case, but in production code it would be trivial to make it an option\n",
169 " # in this case, but in production code it would be trivial to make it an option\n",
135 " @property\n",
170 " @property\n",
136 " def hist(self):\n",
171 " def hist(self):\n",
137 " fig, ax = plt.subplots()\n",
172 " fig, ax = plt.subplots()\n",
138 " ax.hist(self.data, bins=100)\n",
173 " ax.hist(self.data, bins=100)\n",
139 " ax.set_title(self._repr_latex_())\n",
174 " ax.set_title(self._repr_latex_())\n",
140 " data = print_figure(fig, 'png')\n",
175 " data = print_figure(fig, 'png')\n",
141 " plt.close(fig)\n",
176 " plt.close(fig)\n",
142 " return Image(data, embed=True)"
177 " return Image(data, embed=True)"
143 ],
178 ],
144 "language": "python",
179 "language": "python",
145 "metadata": {},
180 "metadata": {},
146 "outputs": []
181 "outputs": [],
182 "prompt_number": 2
147 },
183 },
148 {
184 {
149 "cell_type": "markdown",
185 "cell_type": "markdown",
150 "metadata": {},
186 "metadata": {},
151 "source": [
187 "source": [
152 "Now, we create an instance of the Gaussian distribution, whose default representation will be its LaTeX form:"
188 "Now, we create an instance of the Gaussian distribution, whose default representation will be its LaTeX form:"
153 ]
189 ]
154 },
190 },
155 {
191 {
156 "cell_type": "code",
192 "cell_type": "code",
157 "collapsed": false,
193 "collapsed": false,
158 "input": [
194 "input": [
159 "x = Gaussian()\n",
195 "x = Gaussian()\n",
160 "x"
196 "x"
161 ],
197 ],
162 "language": "python",
198 "language": "python",
163 "metadata": {},
199 "metadata": {},
164 "outputs": []
200 "outputs": [
201 {
202 "latex": [
203 "$\\mathcal{N}(\\mu=0, \\sigma=1),\\ N=1000$"
204 ],
205 "output_type": "pyout",
206 "png": 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srAzPPvsscnJyLN9XVVWF/544cSImTpxovFZvjD3uDSt0okzCntAAY9X06Lt/CwcPlgJY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\n5xa8T9QZM2bztaOpwUrE7mXi7biWaveNjfI+38Lhtmdb77FjqtnEVyh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2253 "text": [
2254 "<__main__.Gaussian at 0x10aadf750>"
2255 ]
2256 }
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2258 "prompt_number": 3
165 },
2259 },
166 {
2260 {
167 "cell_type": "markdown",
2261 "cell_type": "markdown",
168 "metadata": {},
2262 "metadata": {},
169 "source": [
2263 "source": [
170 "We can view the data in png or svg formats:"
2264 "We can view the data in png or svg formats:"
171 ]
2265 ]
172 },
2266 },
173 {
2267 {
174 "cell_type": "code",
2268 "cell_type": "code",
175 "collapsed": false,
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176 "input": [
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177 "x.png"
2271 "x.png"
178 ],
2272 ],
179 "language": "python",
2273 "language": "python",
180 "metadata": {},
2274 "metadata": {},
181 "outputs": []
2275 "outputs": [
2276 {
2277 "output_type": "pyout",
2278 "png": 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BsF1UdAtic/PL8PnmY8yY5BRzScQinGioY6uwkODQIfH9OxtPTpRR7hrSz1H+\n/p0tLglBvE7+w4cPk5EjRxq/B6BszMW/kRFtSS47yBszPP3c5yu3SU02bdg6KeQRe11UnsnqnGQt\ncmyz/J2ewIqENibV4hj1xOO53xinHc3mqu5YHrZqDW9MxKZcdH1QL5C/zZXGSn7+fcKmrZnTXQzn\no2GF00LXE6kBonsnPVEnQe2zSJuITu6ZyCABJ21W+8nrnauEdkZH/iYGV6ib8/R9mUnfeAa2Pn9o\n1KhHCCFf4s1YuxUMsNdMGHQluTZuXOWIBEsHvhnrhUrlunr1ppBGWaV9lkgl9uLlI1eP45msL9se\nr8s+Zq4kVXNTrafHH/+d9tp5eVdgwwZdKNwyW3+77h6ROcvZ81xpOQ5A6Dr6TfSlSx/UnhNN+55+\nepvmaPa+/VD3dM6d+xZOn2YWpu5dMkrfSaBzYAg8nl3Izv4C5869BkojDKjafEHBR1i//iFDe3Q8\n8X4cPJiCWbNexrhxdVi2bJKGk/4kgNPYvTsVpaUVUWWVmixP2bKNvAfgLEigFMzt8fbbNXjssX0Y\nN25kTESGdlYNcAIffXQXzp7tA9VC9XqXY+nS+yzXE11HJteYx/MJAgHxLE76RjOI/QB+rG3v8ePH\nIz5T1Ih3pXCm0VeGfiYQ4I+WFay4eIHjkKVkhIaZNCZe5iy2EnuJ1ui5ZsLaa2eFRO5LFVu21AsJ\nKdZrJxOm4u6ZmYssGi6zSKgWzdvp8dyfEIpn+5KKkcaC7ns9QVdq6r025/D3b0qmSk9/QPk8cYR3\nzvvFatl6vXO1Yan6BCr5eelctLbT43lAc82VjkJdI1kYslVfEXqfFY7GvOlZrGGyuuMWKM/5RwL8\nX+Syy75KKisrSQLEcxg9pNEfA9AKqglNtHzb3Hwap069hGRtMIrQFdlobNQQatC7hX4XAlgEgGvw\nHs9flBWbQvQ/Ow0Fi4YGGQDWrHkN779fhvPnR8BshXA49fvRPYAloBuCVgsnmRWlTMXdb7jhNVx2\nGadyJcSDp5/epqV4DgQ4xTF7nlj4UHTvIytrf4iTRzf+7JKuGKWv1Zrt7h5jPEd8/6ZkqmCwAnzO\nfAxAjHCi2n119Z8QDJ4BtQLtqagjwWnx+Eh7ANbr0Gd4++196OjIhs7yDwS+guZmNZy3FOvWvR4x\nAi3SXpHMNcPPy8ur0p4nUoK36gtf4aqrLkdHhziGdH13Gei75/sxwJPw+baiqqoKP/xh4gqP9JCg\nHwTg56CpGegZAAAgAElEQVQvlBFovQqgDamp3Th7NhXy5gV98X/5y1n4fEvwxBNlmo0sGU5Cw7iZ\nxSbMSyEzSh/WNmxYHvr0YW6db4O9kLS0ncjIyEcgYG/qRcNHzo5rbDyB5ubTyM4uDFfO0XFa+3xL\n0NCgmqPPoLNzjvZZnJMrjQewCepE00UiJRJW4epHVlYNzp8vBCEEEycOwsaN54Xvq6DPRP4Z1qyZ\njzNnBsUcp8wX1Pk4fLgVQB8UFKTg3LkVaG7O1pwxyTb7+cSJXDQ02C0Qsstm4MAPsX79YkuQwpw5\nNZLLkiogr4MqIFXC53L+Av8uXTmGKlW7dh1wtIjr5545zPbNN6u038nX4W09d47NQ901nS0yuoUr\nkiIVjUzR55Oo8KO5+TS8XmDAgDIUFhaiqalJQ/o2CVlZ8kKV6HDsMOIxB6ZPn04GDx5MPB4PGTJk\nCPnFL35hOQaAYq7UECsHtbjBaG9expM9aS5MbuaHsa+uE72pZ4do3C4mIriCgjJbN4Cz/rE3dZMF\nkYxLdQdYOYOmhdpp5XCPpw/Etug28IqKyrTuJDu+oi1b6onHo8t4rSdpad+S2u/1ftc4lu0LTJv+\nJoS7+pzNsWj6JBbuGTN1N3uf6jXVDWvWX+bNet097d6PU5lirX5VT4Dl0v9paQssfVtZWWPkqVLb\nxTaj4xTPEuLS6P/93/89hrOaAHwFcoKSuMGoxhbrkwliSZiQC5OLoOeKdSvZNfUbYdGbetEXUaYw\nZd19/HGT9l7DhuWhf//YMge55pOi/T7ZNTj1iUwUNKwU4BrgEtDNrPNQ6w6fP69vv86q0b0bQKc9\nU5dEaelqVFffFtX4mzx5PIYMeRGHDskWIPBLpKT0hZqsZ4J9gWnR/aNq7qyqE6MuTkEsLhzd3Ium\neLwuSODgwbM4c4YdwbLM94G7SsX3rboUnXNS2cXeRyNTrG6nfaD1r5n7ZT+6uuRxc/Dgk9i5czXW\nry+NeA95c1elrY4dPc5Hr78lcxeI36vJBH488EANRowwpyeL0E1gPlH0/uCbbtpqMTf1Zl20pt7v\npbj/vXtXYMOGSEWUzaY196XLgiMrayHWrp0FID5ypTVrXsNf//pQKG/AfvImA3pfsC72eAPkyeAH\nkIJz585qrysWQu/sTMcXXzTi+PG+aG6+F6yvt2//MXJyitDScr32Gh0daWGhwa719NPbUF1dZzsm\nr7zyOhw6dCtkf2wWgsEaiO+6uTnbsjcl7itxF5HYJ4Do/klP34tg+Ks6UCXKD2ArgM8B6KNinLj3\ndALTWjzej4aGOnzrWy/j+us34YknaI6LjkisqIgWmqcQFys/gNVISdkLQv7/0PeqSzFyLodTOE3C\n+uKLk+D5JH4A9QB+LRxRpZxB3+3OnY0gxH6MAHplLxHoEUHPuU8Ak5AEykKDeGDof1Wzfwvt7Zts\n05MZZF88D9G6996hobYwzYZ/n5W1HyUlEyzX0vn3vN4mAPrMQnWB+fjjT9Hc/Kp0zebmZ7Bs2XSb\nhehFAHvBNn9bWuSMOe5LB0TBUVTE+yNaYSy2e+DAy/GDHxTiv/5LnLx0QiYrc0+ENSQwHUAzPJ75\nCASuEI4sEv7mikF3N9sLkgVASckQRdhUQKUhCAQqEAj8CFxblGuWtrZ+BsB5qCGb2JwTSey3KqgK\nDSAnv+kKpTD/f0ZGG5qaxHE4HsOHv4mZM0sFLVtnfeqLmcRqsbG0/o6OH0nPI46Zvn1Pa4MEZG4k\n6/5GU1ORwFap1pM2W+I6RMONZD62E8BxcMuoUDlTv//gpJAOYA42iRsJcwIZAEDyj/l85UYO6srK\nGuLzlYd8oKI/0nnFeUKYH01fb5L5xK666ltKwQ/OWqheT5egpfP56Xx9qakPaNuekjJP68ejoXD2\nfs9ILKDRJpuY9gZMYaeJYjm0K79oTc4iJDt7CklLm+zQL033TwoKZkv9Ih9TqTmvUjjf2gavd7nh\nWmwM6ZPozP7taEIrrd+bfM/sc+t+hem5HnHkozeNLb5/oG8vD1W2+tPt/Ofy88ceWh3N/pe+3gU9\nlrPVlhPgds1cFeVO9PNHft7EieceEfQqtmypJz5fOSkomE4KCmYTn2+xZXOEUhazjZc5Np1pfWlO\nik5bY5P114tmgOgnpW5j0JyNS4VrpbbtbJPJrgBJLDH0JmESaXJGS3Gs1mm1a6ue7liNBRf/tu8z\nPi7Efi/TnCf2hXmi6mOzzfkNrA/UjEq5aA0/p7h4gdJmuS8KCsoc9b11rMQWSGC9jqwYFRXNsn0P\n+g1ys7Kmv684BmhfZWU5y4yPJlfFmkuygADTSG7udIVKfRrRyQ7gPlJUVEZSU2dEHJPsnmLWNM8X\nSJx47nH2SpUMTIfJk8fje9/bhyefFGt5irDPsKV8JGYfK6CaSObrEeKc5dFsdqmbcEdhMtmvucYD\nJ3sAfft+hpycu9DZmYbMzFz07ZuPzZvPCOaxc1Y8c7s7hb+5C2P37l0oL/9Ccl1FW1P37bfLQuRs\n/PpiVmcwqLKRqu+Iuqzy8v6Ca65hdYetT8A4aDo700PjQg3jVamlRb+v6iqg6OhI04QIvgrgHCK5\nYtT+2bz5AzQ0WM85dGiRwosi3usttLT8KkwYF8kd0LfvZygooNnM588HQ3VYnQUSMFgZF0VXqh+p\nqS+AuzOssAYJ+JGe/jpOndoUeg4/3n7bugenbpQePfoRGhtPIhD4/wBQtlGWGc/aqXPNOM2/sfJJ\n8VDstjagrc2P9PRFIblUCJ0L9eqrszFixFAcOqTvS3Eey3ODzrGMjPeRl3e/MUY/JiRsyTAAQJwr\nMCsOIIa06bUGnmGrhmhZS7PJK7xZG4yGK8SqNTAzea6kPaWnTyEmi4Nm1Kl8KvMIMJmMGvWIsOJb\nNQm7koZ2mr0p8zI39w7DvWJxpanHVyr3jBS2Z/8e9OGQ31WyKesJcK/y/1QiFx6h5/l8i23DNPn9\nWNtXCT+RNUcGWYO0u49d30eqCWzXr/L5JktNngemurvMpWHOZmYWjbV8aHyZ8ZF4f/Rz01oQx8on\npZsbC0h6+l0kN/d+Y1/KBYnEObrQMDd0lgG0YyYWJO5KphsAmkm8MKKpL3cUE/bTCfAtkpV1t7aD\n5cFTQ4CF2g60xrWaB4GTqlcMVjNTNAG5oC8qut9I2JWTcyehgme5cK5uoptS7Z0JA725aO0rr3cu\nycu7T7mWKnSduNJMbTW1V/V3O3sm0TWi32N4RNNm+n4yM2U3YqT4au5iZH1ST6KJ7WYw5USIixh7\nLjt3mvpuTe4SXfW0ysoaMnbsPE2OwEoHipFuPNAawKaKavYLh3mOmRSvSLkTlZU1JD19odA+/Xjl\n+3usn3Xjhc8NUwUyPi7sXWT2exswjplo0UPhldbsRZ3rQ9zppmZ2ENx04lWlurqmhfi0WVjcSaSm\nNqGtLU+42mJw09w+rrWx8SQOHVokkFaJWYWiqUZhCuESMypptIpIVsWf9corq9Cv30khrIzD4xmI\ns2czATC3iOqyEHMB5IgQoBCZmQ+ho+Ny64Uhk57piJjy8p5Da+t/Suc0N7+MgoI5ypVUd4ITV5oK\nMZtUH1aamno0TMh29OiHaGxcEDbZAf17OHHieKgKWR+cP69zgeVo2kzfT0cHcNllqy2RS6ZQ1cmT\nxapoLKpGHmsMdhEtgwfnCJEl/Pn37duPqqoXpSgeUz0GPWFYleZu41FU9G8YMoRnYQeDGVi37u9o\nb/dCLsTBXX/f+94EIfrMru4uwPqzpGS1sbKa7JJyTmtiymI1FSRi19ixownBIMtuPwCZLoKPVxpl\n9xYOHmT1LVi+inWMNze/jKKib2HAgDIEg1lIT2/HTTcNDZEuiuHPdLwMH74yHP5sfZ4ki+KELRkG\nAGpmrF7D0W32pKTMMK72RUX3E4+nXFlpYyMfY/fXRynQtgwcWOa45qs5A5drGfYUuZU27WfX1NfO\nLSq6P6IVEu3mqz5yQ7y3vo9lV5o5K5BfP5L1xbUj1QWoj9SxsxTM4yKajWar6W3OsjbB6gbibZW1\n0FUkI4PV6tW7Q51GqeizU1mfMGvY+h70mctiO5m2+10yduxiYx+as2OtblZ7OWFP5czGvGwJ2MsE\nFixCrZvvEHM9aCvpHs+AFr0Qs0le3r0RNpsvCo3eClXD0SUKEHIOppXus8+6EAj8HDJRkzWBgpNR\n2d/fvirSeBQXb8P27VUAzOXtGPjGjzmhw6QtAsADD9QIbVY1GHbNPlA1DOBJ5OcvQXV1GR5+2Jwd\n62zzFWBaXSDQriTqjIfX+0sUFlJtmxKMWa/GyeoY9FwutDwiy6GwWgYvvFAmZKnSc9SSf3KpQ5GS\ndxEoTxHPl7j33qGoq9O3WS46Qq/j9/PEH9UKteZZbEVGxj5kZt6PoUOvQmFhrqPMWUCXjbspZEly\nK/P8eYDmWbwClk0ubkjK79Y8/uT5xs4JgicB6a1gpqFba+mODpcKbG09hqamfDQ0WDfrAViyYzs7\ngyGL+tuIVHHJbt7YjXnZErAPdmCyoKrqRTzxxFZ0d5dCXw+6TipGBPgRCPQDf18bwMbQ2bOHsHo1\n71O1zOJ//VeDkKSYePSQoJeZH3UmtzUr9C3QdHB9we3OzozQX+J5fAe8X7+jKCm5UknRNt+fQR/l\nUIe9e4+itLQCN99cqK32IybKcFdFZLIqnQB47LF9IcH3bQDNAB4C8NPwNb3eX6KtrTMUPSG7bzo7\ngxFdDibzV46M4ElbZ8/S+4iJLEuXPqhwclv7ODu7UBCm3H1VXFwlnbtx47HQs+p59oPBLO3nomlP\nx88ZqMlmOqG4a9cqfO97+nFBiEcQ8tbEHwBS26ur65CZ+XmYvIr2zT9Zjnn66W344otGAH3Qt+9l\n2upq3A2E0P3/HvpbdRs0WfqKuR769CHCp4xOoAzp6Sno149g5swJGmoPNh4KATwLYAx0EPvbLnKu\ntLQCe/ZYC8evWTMfTU3doQUZALzweo9jw4Y5APS0E7oIN7t7m8a8zACqzim9TNi8+QN0dy8Hp2CQ\nF02P52CIwVZkEB0B/r7kJL6Ghjrcd9+/ICXl8pALkikSf8L11+fiBz8olurqvvWW9hFjQg8Jes78\nyIQdIIddysUKxIEt8l4AjNWws7Mj9L+9f7C21o/Nm/eEw8tosQyrZsbAC5EMBtUIUwD8DC0tNLPN\nGhaoo0t9EcB8ALPAhfB7uO22rzjKKKVFyV8MXZNpBauRmfkpbrghF2vXPojq6jrU1alheX7s3/8s\nRo9ebksTIWuhnOKAkNyQdjEfDQ2nQIjorx+P9vbxKCy0+l1NC0t1dZ3R98zCDWXNsk7bH+npGpMM\nslVGF6+PQIWg+H70QlHeo+GMoQcOmISrvO+gKy+ZkTEP6emBMCWCrBRYQyjNJQbZ/btZDyhPrqd4\n6OhIw6OP3qq822OglgHVkJnmL2cf7wcwFTQkeSiiofgArFmkx4/r2/fRR004e/ZGiNw+zc2rsGbN\na9i9++fKQic/lxOIFCGNjScxZ04NCgt5uObMmVdo51RhYSf69h0gUVkAwP79beDKGqOPmI7s7FRc\nd10O9u07D/m9VgG4FVbeLtEiqwC3Ol8BMBgdHcPQ0BDE8eO7sWHDnPBzpKTIi2VcSJgTyABA9tEX\nFy8gY8fOIxkZLCuwkgDzSFraN4nHw1jfVH8Y9c1mZ98j+AaZj9rsE42lCEdlZU3I92/yceoiJNQE\nqDKtn9MUbaTzCTvJiLQyOjp/VtkPKZ/jJGnLCcy+Z942OeLE7MuPxC64ZUs9Ae7UtDuyP1a+NutT\n3XuuJzk5d4b6TH3nCzTvW3w/zqKGeFseIbwwherDjhwiad5v4j56uqfBfu4R2qkLd12gLfIRTQhn\nero+Wq6gYDohxFwAyBThZm4LC0+eR+hcnE08nnuEpC75neqyYM3lAGl7eHSO7h2z56hUPhc/0++x\niVE5iRTPPeyj94cKJwPUxOHcGF1dG9DV5QfVhFVmRqqlZ2WV4dQppjXPBl0R+Urr8aRg5Mj+YY29\ntLRCk+xkLk5eW+vHunX1CARUgjUROtZItRhwVeg45l+lmmx7+0AtYZWOMyU7+5y2/3btOoCJE6vQ\np08Qgwb1wyefsO+iKzQs85PI59AomwLLOUBkPhSVNIyQNqSn/78IBjdb7rNmzXx8/PEXwqfc1VVQ\n8CluuumqsDkdySqbPHk8cnNfQlubLiJEdG9R98nevW0oLa3QFCDPB2VJVIvR0Pd79uxY0HFbBfmd\nM02No71d5EGJHFkiWkZbt/4N3d1jQf3sr4G7GuqgcyNkZS1ESckYwUomGDJksDZChxGzDR68Cc3N\nnQAuBy1MDnDun1IwK5zta+hcllYOGz/a2/OQklIOQnik3PDhK/HZZ7khd6MKD2pr/Th+nLFs2pfz\nM80Z3pby0KeXg0XrBQIIlcBUoee0p3OgzNKejIxpOHHiMhw6dBZ0vIqlN9meCDuPJY+J756NzzaI\nkYQUTxraGD96VNBnZdWE3B7TwR9SFVCDQF0e1k0kq88XALaiX79OlJRcg5KSwdixoylsgllNSF63\nUZdVyLPiGHQmbL6lbdT0DQqfBWEV/hRiliRgpiYeMKBM23YxIzIrSzwm+spb9puyuo3thVi69DuW\no0V2xQMHWhAIfAWU+CkdNIytSnuXw4dbFRZOKpBTUw9h6NACLF16GwDGesgnRf/+q3SXwzXX5KOh\nQW13IaigZIVveOhsXR2QmTlHuUp66GeOch02TtmzBCGPXV3VpKPC/+a9H5+vHKLv/uabC7FtWzq6\nu4+H2svavhrA38AXFJ6Nedllf7cIYnl8cLDFum/fywB8CLmAhuiqoK7WX/5ySWicmpQC8ZneAjAb\nhLwKYAZSU7swbFgW1q+fh2XLNmgF/bBhuaHNdMayyZ+rsLDNoqhY58yLOHjwY6SkkND/beCKJAch\nwzW9YTcH1KzXY0hJ6YeGhhrw/soRzuF9l5OzD6mpQXR2LkQgIGZYi8EUDFwRaW09lxyG2ITZBgYA\nCIclcjN9tsaUUU0cHko3cGBZRHeGzoS0FnuwN5+tHDk698s0oW0LQqbbdwgNo1LN68jmuikBxFpH\nV80ULiPA3SQl5buOnk2FnOwj//AsQ3M4I4NMACWao5HD/Hg4p5pRSd0hmZmzNcla9uY8T/yi7U5J\nMZGgmcbcXGF8iskuav1gNTlKV+zDxMtj+lscY8w1UE5YiB5QRtLS7tT2h/5d6pOj5GxRcza1GCLp\nLPRWdfvQ95iaOoMUFZWFyAyXK+cv1rjwePtVTp8tW+qVtohzlL2D2cRpOKTJzaTLtJXliX04LXNz\nFRcvILm5dwhuaXpuSsrtxn5nbs1Eiuce0ehZWGJpaUVocy5X+NaUOKGP0rBSBs/FiRNZmDXrRbS0\nyEkQgcBAyFqZvdZLuaaZ2VUKupHFN5I9nl3o2zcDhPw7OjpmgHFgUIjUryza4R3b+wGmCBi5FFlu\nbgaOHQsgGGQbOKyMGUCIH2lptyMjA+jstJrLuugiZvrKSR38HM5pv1XYXF2iTXB76qk6BAK/B9VK\nToJbanZhfqxMIHMDjQfVaKw0tx0dVdAlhokuLJEXZcMGud1NTdcIG8K69z8plGTG3CIvg79LMdGt\nInw8f5ZN0nXkZxQ38phGeAKpqZPRr1+eMFZ15RCvB93UY9o8Qn3wGrq6FkN9Z17vXLS16es8sOQo\nUyTK9u3PhCJH5LZmZe1AR8cgNDQw91OH9fJQI7XSoY84AQ4dEjchucY+bBgtvGwtpGO1YPfunQeg\nH1parhSOE0NBWW3nXJhqTog1iK2FUyjkOcBDRvfty5OuRbEV2dkfIDt7OgYPHozCwlyUlAxRrCs/\nPJ4fIzf3W8jIyMGwYbmYMmUKXnqJlaY0b/onDAlbMgwQbyFvluhS/KNLc/f5ygUNTscCOJvIWpk9\npwjfnJpHgDss2oCsqdjRk+o0AP3zWClR1eQT9r+JS0XkxaEWhscz3cIIKsLKbSNbTk4xduw8oY9X\nErOGy5NHUlNvDyX8qH1WqTmPEOumVT3RJfPoEmusNABmTh+fbzHp12+O8V3KvDm0z3jykqhBU0ZH\nu41H++QdE3WGqk3Sz/Py7gy1KzYKXzn4gD3rI6SoqMxBv3PqhIKC6aFnNr1HnYZNwtq6Mz4l0Zpi\n70J9Z8wKul/zDvVUzHY0yfKccdbH0TDj2lFaJFI895iPXo45rkFubgbOnqWrYEZGG4Al+PzzE/j0\n0/ngWgyQnk43mRjEGFoar8s2j66E1SdeAVkrEwtSyJWTVq/ehObmOQB+D+BeWGO6Vc0rU/neWgSh\npGSSbQy/HEO+GsAJAEcRDL4h3ZcnzbwMYJhy31dBNXzuj6RFy084ZKvUW06sfXaFGijVgBg3LFo1\nTMOVKSy6u1lhD6alfw6gDKmp7ejuBqxat5oYVgcxJwOwbjpbGQHZO1fbRK/b1gacOSNWO7LmP2zY\nQEOCeQgpsHTpPymfccvH5ytHQ4O6l7MSw4bl2iTviGXzxPR5P1JS/gZC2HH8naWnTw+xiOqLrUSq\ntlRVtRjjxvmVZ7gPs2a9qLSd3e9ufP3rvtD4HoKXXvoYzc3MivODxuED1veoD9lsbT2GvXsDsFo/\nRzVHi9c8EzqWbdqplBZ+ANUAJiM9PQ9ZWQHccss14ZwGHZMuDU5IR3U1DfO1JkHeCrWPMzMXYenS\nb0tzZe9ese3mIIk333wC48bVoU4TVZzosp1xC3q/34+FCxciGAxi2bJlWLp0qeUYa8WnwTh3ju7k\nnzqVgc7OfujTJwhCgE8/LYNo2gWD38HOnVu196adL5qKKq+Nak7TZKPs7OloaiqQyp6lpn4cutYz\noAuEaB4C1hKH6vf0+mo5QnUSlZQMCQ+2PXv+gtbW3wvnvwVgsHJNsULQJlgnTPS796aEKUbpe+zY\nSXzyyVEEAlciEOCZrVY63D6Q6/2WgSa5PQM2cVNS1oGQLcrzWDep09LKMGgQM2UBvhCoG+rpyvfU\nndPYeDJ8hLxZJ0fyDBvmwYEDVk4ffbWj8Rg+fKUlyU2F7rMnnpiN8vJX0NzMx7LX24y1ax/Eu+/u\nw7ZtjD9JHKN6KuaMjN04f16fxMQ39Vgb5gNoRXp6d2izVYa6eN98c6HEpbN0KVvMdclr45GX93LY\nFevzLUFzc430PbAPKSnzQIg6jq2b+17vXDQ15aOlJVs4X3WVAXJCEsBdbADNWVkEquyI2AdgIICf\nIRgEWlv9+M1vXpc4q1ii4+bNeyw5EfocBysl8Q03UIFsrVzGYO8u1lWwYwv0W2/1ojj6G2+8kdTX\n15MjR46Qa6+9lpw8eVL6HoDBNGMmFjdXTIyOpthtel3RJDRt6EyXzDI9Nah4rUobU3Kx5ly+eTh2\nrNllIruu5hFghub6JgpY0U0jtktfuCIn527jO7On9BVpd+3NVB73PEtpI3MrTNVssplNYJ+vnPh8\n5aEcC5M7zxTnzXMUIlFL233vxIwX+9GOE8d0LT4fmFumnACLSXq6Pu6dupT0lLdy7Ll9LoWOT0p1\nE2ZlTSNXX/0dkpp6u7YtPt/i8POZ3A45OXdrczQY/bOVXdTOVabbuFbfXw0B7hLmwALC6ajF3Bar\nbKBu02hzHFjfPm4IEondHS2OkwSI5zDi0ujPhMq3jx9PV7pJkybhT3/6EyZPniwdJ2veDHUQXTQA\n0NGh05LNZsyyZZPw9tsiL0yO5iirls3Tv8U2TQJnjNSt3h8C+JZwD1GDSgdgrasKQIop//jjv6O1\n9RFQbVbVQEz8OJME9kx6T4/nx/B46MZOR8ff0d5uzZA9e/ZPyMujxwwdmivxtOgyWU+cyApxkzDu\nIN5fIsSN5CeeKEN5+Qo0N3sguxrGA1iJa67pj4EDRWZG9nx6qoO8vCuwfXsVfL4laGgw8RdNAnUP\n/E46V2RE1dec5fVeTRZNZmaX4yLRplhuQOZl0V2L1/yVv8vLm66Ne6eZweJ4PAHgNNLTUwHkhJhc\nn0GkXApu6XANORhkm8KsmMgSfPLJWwAWgFtn9HuPpxrnz1+J0tKKUPaoyo1E4fFkY/fun1v4cETa\nDAAYPXp56C95ruXm7sOGDcsAqLQI7DiVFmUxgE/Aw2grQC1jNbdFBYuh131nznFQN7ZlOgnezoKC\nGSgs7Csw41KoLjWT6yiRiEvQv/vuu7juuuvC/99www3YuXOnRdDTiaXeKlIEBIWp6Dbzr3FeGNUM\nNp/PuWjUNuSB+3BlitGsrLIQ6ZaYSCRGi3CwZKAzZwYp6e9DIMdjiz6/oHBNQPQPL1kyXuLAWLr0\n/5H80VOnViMQ+G3oPBaZcxXa2gYDSEdLSxAzZ/4cGzeahdDEiVVKn0ROg2dRLrNmvYyWFp5gA3QB\nuB15eduwbNmtFtM0JeUEuL/Zem3Z5WDlL/rww8uERDEO0RymNBZeiGOhqWkFamv9tuayU5jyH5hQ\ntdvfcMY1xNs1c6YaGcIrHjU0UIppn28JDh48i5Dupe0XusCYhB8blyJJIMAWltTUIAKB34YqStFF\nraAAaGnR70MA9pw0ANDUJEba8IUvM3N6+DwrLQI7RpQTftD8Arb4s+gsceHT9bnzsW73PPr3SRXM\npUtvw+rVr+LIEXOyn53SkCj0yGbswIHHkJ7+LoJBAJgY+nEW/rR06e149919WLdur7Qqso5QN5Na\nW08AoKyKMrOd2JGMY36gcO86UI3ADzHbNjc3BV//+gg0NRXi/ff7wboho+/Cw4db0dLCLBZxErHj\nT0IW6oxpkWnuVv+wDjTDcaOSIZsCmhXIF6DTp1dZsnJF8MHKfpsXTfX+dEPJqqFmZm6VNKHGxhOh\nzOjHba9tnTgyf1FpaYVW0IvsgzTrUxbEzc3PhDfBWJt0YYdOYFeaLpK2b1po1JA+sV1sjO/adcAS\nRtzc/DLGjFmNgQMLlI09mZCP8kmZhF+68hvgwrcC3d1WZcbnmw+vt1m7D+EEXm8+Tp2yLhSXX94v\n/DWBR2cAACAASURBVB8NeVYhywnKniruYbAwaWY5+qEjMuPMts7Gugmm91lSMsSY7KcqntRq2R76\nAQ4ezHB0b8eIx+9z+vRpcuONN4b//973vke2bNkiHQOAbNlST4qKppKUlLmSH0vlsNbxdldW1pDU\n1HuNfi4n3OH6RKsakpZ2C0lJmRf6396vK4dXRQ7ZlP2XlcJ5LOFK9LVTP2Ja2l0kK2sSyc29nxQU\nUH+/jl9EhJXzptLgj6Shfab+0vPS6CsvqYhUiUn/HsxhnTzUle85eL3fdVz5iRCdH572cb9+cxwV\nM48E/ZiiSWiRqh2xZ3C6FyAi0v6CtZC26PeeSzyemRF8yTp/s32R+Fieg/ehXIEJqA9fh3NiyQXB\nPZ77peQ9OdFRnFuLhf95+HFKygPE51uscCg5G+sm6PrBedlD/TuNUzxLiEuj79ePrrx+vx9XXXUV\ntm7disrKSstxDz/8Fg4d+g+oLIxTpsgc1oR4LAxy69bVo7tbH3HQ2HjCEXe4VfuirH5dXdtCf+v4\ndSiYlkjdAa+guVl26WRnT0Fn50J0dfHolPT0hSgoIIK/lWklLJGK+ZjZvamPv6vLj/Z27mtvafHj\n/fetkQKA7NeTaQSCMFXbCQTO2ZqItIj0TxEInENqqsinPi/sjrAr9B5JQ3Ya1knRD7JLbEX4Lyf3\nsxbvpv165gylPohUUBuwDy+1anG82LVTn28sae6R9hcA2Gr+eXn3hhKkANGizMl5H93djBpbDEE2\nRZjJexoiHTObv5FcWLyak0kTZomBLwJ4HayuQCAwEuvWUX9OVdXiUJ8wrTwFVJOnCWZ0DI2DOJYI\noeHH1tBSoKTkHyQaFRMDrArd+7T67ilkax8wuY4SinhXiu3bt5PrrruODB8+nKxfv97yPQBhxeQa\nmsjSZmKZ5CyK+pVRrssoRxOwxJVJk1ZpWPF0CQ3OUpkzM0tJevrdJDf328TnWxy6tlUrkVdtNenn\nEUNb7CJu9Joh1/BEWoa7tH2elXWX9nqRCisz7coaRTHXtoqQikiMnPbHmYuP62CuYGS+r76Orr5P\n2PH6YtexJS85gVPryTm1hrV4d3HxAjJwYFmo+DWLENMX/Da3Sa3LHLkPrZpwpdCf5kgr2RpVrQ99\nAW/GmMnaMHbsPJKTc6dg4cvtdRJh5ZSBNjd3uvKZXvYkQDyHkbgrmW4AaB8kM3OREm6mPviqULiZ\nmTaVh+7ZZ6JZi/iKk8DsTpBL2OkHrH5CUY6O4uIFZMCAaSQn5ztEL4jVtqjX0k9WMdzU5Jai4WVq\nacZvaa+Xk2PvGtOXOouOFpmQeIRU9Pdi9ystrRAyXs39aG1bdMJabnP05QSjgZodLi62TDGJRFHs\nxN1SXLyAqG48YDbJyblPOsdELxyppKUJ1oLZlRHfh5ma2cTRMzt8Hi9B6dTVEils1W6he9zA31RP\nMjLukt7Jl1DQOyET002SVYSTFnEhnJp6X3hAWwWiOc29qKiM5OTcSShvOfve7H90UvvVPoaW/nAf\nus56cKrR82cRa2mahKfMvW0XG19PUlNnaD5X+0AVvs4Foaopi7HUzvZUIk9yO23LiSVhPUZ9Xt4n\nOsi5GdwfnJs7PWrftZN9J3acOS5eV/c1usXGJKgHDiyT2qDPf6kn6ekPaM8vLl7g8H2J49bZ+7BS\niugXIeaHp89oGuP0J9KeSySyRXVRlRdQ9vM4KS5eID1LIgV9j0TdZGYeRYeGE4n5LK2VdUSK2b2g\nvjlKmwrsRVnZNaiqWozaWn/IT5oinK9msLI0dz/OnXsB3d03goZPzgONZTf7Hzs6dJEIDJQbvrCw\nn1JPVUdStSR0jFoTlUbbpKbOQ3f3yzDH0Eeupan6q59+ehsOHVL71JomT6mjr3HQB2Js+qsANAHf\nsNIi6yJQhg9fhbVrb7Wt8iX7v/XDtLHxBHy+cuzb14rz5/kz7N37CjZsgI0/3RpVYd3Hia7Kkimk\nMzd3BUpKBmtT7xlUDv/jx/uG4uIpTPsJy5ZtwKFDrwqfiHQZMiFfVtb+cBlBpygsLNTW1R08mGe9\n0thvdQ7RuRcMfkVzVVqT4oMPuM9cfT7r+6qGk/dhpRRJg8dzGB7PQrS18T00r3c5pkwpDhH7RaIl\nB0x7XnLYqv57ne++uroOH3wwCWo48pAhegaARKBHBP311+eGOEQYrHVY+YsVmyQW7yChz27ARx/R\nxBfWgWvWvCYU1mUbn6Jwo8kh3d1fAd+U2QST8GMbQi+8wAJ4dVzilFmPbrjyeqqNjX/XJL1QFsGm\npqPCd3wz8vrrF4YZBtXw0JKS0XjhBftamqbBxCHSKABsgBUUfIQhQwrx/vvW8DLG4cGvMwl0cVSv\nKcNJ0Xe7giiA+F7nh8rP6Y7SFbGhYOXp7BLE7Ddv2fM6D7kzh3Teq5SZlAWbdSG0FjDR9VdV1Ys4\nfFhtM3snKu+LtZi6E6SnB7SfZ2Twz2UOGEZx8jFoHQKTYmEdy2vWzLcUzN65k4XkDkR7ez/Q8ceT\n7dT3oaO+CASAkSPnKyHb92H16k2hIiUiXYH+nfftm6tNZGNj3W6DXAfTJnQ0eRzRokcE/RNPlAnF\no9XiD368/XYNBg3KwIABZejs7BKKE0Qu3iHu+j///Gq8884RnD27CkCGcm6V0CI/eAUhq/CbOfMb\n2LjxmEDjKyZQAfIi8iqANrS3Z+LIkcMYMeIK7aAYMmQQPB7dIkC/U+uwiti+/YTjWppiERBuaYgD\nkS8wN920GgcOfGLpA1rw4bSGGnoTeMKYfWES1o4//alR+0xO6oA2NXWHaoyq/W8qYsNg5fqJFOVi\n1SI5L9Jnn7Wivb0Thw9nY/r0T3DNNZtw993FEkfMsmWThEQvMSN3v1awWbNVGZwVkHnhhXoQIlpi\nrPar82tERifUfgdWAuCCnnPA7AONjBEzTU2KhXofP/7613Sp2tnBg6uwfn2poP2+BVoMhl4rNXUv\nZs78poZ4zIq8vCukzPjaWn+oHixAx/ErynOuhsdzGCNH9sPatbR4C5dfFKJgjjYBz2mUWiLRI4Le\nHPbF0q43hRNgvN55yM1lKd1qdhtFR8dPjZXhJ06sQn39raBp0mrVJ35P2WUjC78dO5qUyUcTqDIy\npuC660aEtHYrN3xrK3D48CwhJZ2CWQgvvdQElT3T4zmCEyf62VaVcaoxWLVDamnk5p7DqVPMPSS3\n6Y9/3C20id1/JfLz88L9CtB3t3PnWZw5w4SZdXEoKtJpqaLGZN92K13EDZC1W0rYlZHRjbQ0llCi\nN6sBj+FzM2h4Kc9gnDLla3jppd04ezYH9D0/GcpG9WPv3n+TQmpZKTurYlKlvZfZ7Hf2roPBLFjZ\nOJlikqKeHr5GJEZSEX37DgHV1q0ZzwxcyKWAs4qqz0Ct8fPnz+DIER1tQp2UDQ/wxdBKn0Lb2t1t\ntVAiUV8wyO4m9uyvAZiBjIwuXHllKvr1G4C8vMvCIZaskLxOMMciuGMNr40VPUZTLAti9qlViDc3\nvwyfbz7GjFmNxsaT2L+/NURfK0PUTqz0BlWhb0ROFbZyM4ZLP6gpmAKq3feBx3MGJSWTsH37CeE8\nvgj84z9WYfv2KpSWVqCujrJwqmb26dOvweebj8LC+Th8uBW0RFwuNm8+I5RK47HzgYDMj6N7+U41\nBqt2OD7k2ngd3d2cCjk1tQnB4GC88MJBBAI3IdJkZu+OPrfeOgCAIUNWa9oR2QVipRVmdBFqPv8g\nAD/H+fPA+fNsARGL2PAJHgy2WhZPk5Dj958dPr+jYz9On96J5uarQmeL77lOEvIAzxSVXROili3D\nbPaLwrsOdA+nCR9+ODjMMTN58niF/6YGVMjXgVIBNIGOMZnuu3///Ij8PCJkxkYmOOskwcnOozQY\numdgi54fbW3nobPO7Pbw9PQp/HsRkagv5LwaMcOdjuPMzEX4wQ9GY+PGYwLXErcu7KzunhbcUSNh\n27oGqLeQd6gj76RHqgxvjTyoITQTTrfjXk94yb96Asy07H57vcsd3ZNGGujbr4tVliMToo+zdhIS\nd/XV8zXXVSN31DDT6KJneHEWc1EHfXgkDXPUtV0eE2Kkky42XYxqYdFYKsshizKJHALH452tUSo0\nGqlS857N45aH/NrnZ9i1Kz//vlBBE/MzVVbWCBE2C5R76TNO8/LMhXB0kT5y6KE8RyJHNqnFecxh\nzHbzzZr5bT9GI81dua1yH/l85Y5zPaKB0ygqFYkUz4m7kukGSmOjTWSJFHutp2mtCQ2yewjwXelc\nPmjs6XIjxXvT+7IJxZOSzBMq0gJnrY8ZDbZsqSepqbqEKPFeusQxfY6CXUifz1dOcnImS4ljouCK\nNn5aX3GpngB3C22r1LS1nqSk3Eeuvvo7JCNDnwzmJASOhrvp2myq6uUk3NZ5FS91Eedj2n5+VFbW\nkIEDywgPF7YLEzSH0eqTqFaGEol0ytIqUlAw20ChwY+VlRtdm3TUDdb5Zg2ZlJMZxTkTiaLa2laZ\nYlxfu9YcVutkXkZKGjMhkYK+R1w3ato883c1Np50TOEp1m5kVAmrV7+KDz4QfX514OYiN59TU6ei\nuPjqUD1HxgRoJg3Ky7sCa9feautze+KJMsyc+RxOn/4cYsWjlJQH0N6uo0sWmTnNUTzMreUkRV9E\ndXUdursLYd08E10HbfJJYJtcnHkyK2s/HnvMHIZnZ6JGqkVr2pzSV1waD/oOWdsOQN5zoccQMh7X\nXbcaQ4emaTas/eHasnLVH+7i2bXrAILBAIDRmpZNQkZGDc6fz1WeZxLS0mTaC/H5qJtNHF/2dA+R\nmURlMJdFVdViVFUtxujRy0MbnHZsjHXo7i5SPqP98NFHzQgGra6oNWvm48iRgHI8C6R4EXV19fif\n//kYOTnPYcWKb2L9+lKsWcNdlsFgq+CScUbdoJtvuipY1rqs4j6J/j4MYlQX3QTmFONZWWURzzdB\n5xqMJeosKUjYkmEAANvVzC7LT6f5WLMXVU3ZmZUgJ0o40zxV6M1Ee0uBaZCyhuKszSYyskmTVoWy\nP3Umu6gNscQP0QqZR1JT74iJlEpFrLVozWRc6t9OktvYsWravq7YDP3xeKbbvjOdBVNZWWN0pemt\nGr0mbN+P+oxx9RrW43WZ6LOJuW/1FgClvNC51UQ3F21TSsoMcvnldysZ6GICV2KzhZ0ThtEiJs6z\nh+u11kN0lBtc1uktBNl6NxEXJlI899hmLIO6monhkZE2injsK4O6qeJs42by5PF45RWESr3Jmmd+\n/kycONEPEydWWaIS1BU7GNRFdphrS65dO0u6FtNQ9u49qg27ZG029c277+4TtJoKcA1dDnl87LEx\n2LlzNd55pxVnz7JEMX5Mevp8PPqoPoHJbgNT/dwJaZkY/tncfBqFhYUYPDgnHDet5hKIf+/Zcwat\nrYAuquLRR2eFNGlm0cl1dGXSK1nDCgSGwxQuKr4zp2DjyxxSbG+x8c13cePSfI2bby4MlSYUCckA\nkUCQkFw0NIiRUgdAY90Bvba9KWR9irHw7P3Wgwc00DYR4sdnn9WAFyoJXTkYRHr6PcjLy0dBQSfy\n82UK8WjGnAi7UMopUwbhhRfKEAxmoavrBDo7i9DQ8ELoCD+2bWNEgVWaK9CcF5bX4jT00aS5Dxig\nWggvAmgQrHc//vAHawRXwpGwJcMAKBq9yd8VaRNky5b6kOalas+i9iiWEIusHTOiMkYLXFRUZtFI\nGDmajuRKv0lk3ugxIdKzm76XtUZx84/eNytrmkTnSvvQvCGnIlqyKucb57Fz1/DNQSttraxJ67VU\nfVp+PcnIKJf6TqXCjWVDzcy/Yu5z9VyZYEx/DZlYbwGhltsjkiVlfZeV0vNb9z5mKN9XEG4Rfkcz\n1tUSf7G/Yyc+becavd3+ij11AZMRAwZwgkRT+52RyNUTum9oao/chkSK58RdyXQDWAW9Tujqiae4\niZObewexbphZ67ampf3fCu+9M6Y9K9ucqWasfH/VzOO1LvX314EKsOXSc3g83yFFRTQigfeNvPGb\nna1urumjW0QhZWXOoz/q4mu3qWr6vKjofluz1wl3UCRwoaZnMrQSYsl9pt8orycezwNEXJjz8+8L\nm/tFRVNDUTDWMeNkAXCyQRgJdoLEaa1l0U2qdy1VkIKC2TZuzXqSlnY/4aR8al87E6J2cBr1YtpQ\ntRKGVUrHAKKcMTPWRquQ2LW7srKGDBgwjaSl3U2AbxvaR6R20jkPx+MjEnrcdSNuWtkn1qgblNNB\na0OKpul4AM+hqGg6mpoK0NHxU3R10XMZJQHlU+eml93miGwOqjH+IocOdxtcdtkpXH+9uFGchUDg\nLM6fL0NhIb8/YN2Uls3BM5Dj6/04dIi5YSpgTcQBOjruU/pMrsRk7eMXAeyGDq2tx8LtY3wrMg8I\nB03WUeFHU9Nl6OiYARO/yvHjjMvAzB2kc5mJoNmnOj4hWjO2Tx8S+qQQwDQA10jHdndPtyS00dj3\nX0ttOX26OxRLzWLhZ4K+h5MATuPgwUJMn/5j5OZep+WlAaDkdvBrs/Gzb99+baKcznVhSgb69NPP\n0NEx0tKXIsWIWDdAdKHJ2Z7jMXz4m1i/fh6efnpbKOlQdmVlZLwAQgIA7gCthsYqtOnqHceWnWvH\nG6P2T2bm58jMvAWdnUUg5GV0dAAdHVXKmUHIc0eUM9yVVVDwKW666SosXXq7ICMqQIMBWGW4IA4e\nLMXzz2+1vDO7KlM0y34TgIWgla7U9jHIdRNo3k9i0ENRN3p/l31ijTqZ+0CXjZmT04URI0bg0CHR\nH0sThZqaatC///VhvpbJk8fbDiQ5+kOXsWgVtidPLsKLL94WKnfYjPb2slDbB+Pcuf2YOnUCALWU\noeyjra6uCyVTiTwnauFylujF0d29XCFUs+P/eBGUIO5RqBPY652LpqZ87NnD7s3aoc9qpck6IvwA\natDRIRZx9qO9PYjq6j9hx44m3HxzIT7+mBV3YX3JBFYjgL6Ooo7MCTQqydxAAJdBXRDOnv0Vrr2W\nJuSxMUnLRIpHiX1fByAfPDqJ1msFgLa2CrS1/Uh6loMHU7BsWTVSUq7VlK78tnCdOpw6dT0eeKAG\njz22D1VViwGY92NmzrxCmwzU2TkL8txxth9gF+lC54t1rmVmBtDa6gNVuF4EUAugHLzQvboHYEWk\n6JVIWeDW5LoayImRugQ0ce6ocoYvcKxPHn+c1Z49CXW+A/Pwzjt/tygkpv6UZdxp0DGpFrtnJUSt\nCkzCkDDbwAC7W9gl1sil+AjhMeCyKV5UVKYU3xCTaSK5Z/g5tHSf6IePlADCf3y+8pC/Xu9SMPmu\nWYIGd82I/aE+kzkG2i6RiveN6s+nboqMjLs07RPvbWfaisdUKteXzeqUlLuFz9XkpOiStqx7I2oi\nGOPeV9tEx01BgRwFZE9RXCn0ne44ax+lpJj5xu3cTvq28L4wR3mJ71S/H0Aj2uaRgoKycJlK5/TH\n9L3TCBLdvCi3FOxw4sI0JWnZxdRbk+t0MkQXVaWXM7qIKT6+7FzFslxxJuMeCV1jLhHdhCkppcTn\nW6xxX8N43WjR464bEXZFoAkhSqHjMgCzAFwFcdU7d25FqICwap7pGQBlE0vWflpaKNdOURElsjp3\nbi4I+UW4benpNaEC5zIOH25Fe/v1MLkUjhyZo3l6kciJac5qPLkfwO9BIxmWaK4RmRCN97HobmER\nMX50dzfg0CGVHlIsfQgw6oSMjCZkZ4/Ajh1N4SgZzl0kav8i6RuLyqiCnLIvWidaekqtmT958ng8\n9tg+rFsnWjKbQtfkz0dIHaz8RvTdtLTIlBNWs1t9D4Whv3VWnvWdE6KLyR+P7Oxf4MwZs9spksXJ\nSdPYM1GKhJSUeSDkZdD+rdKc7cf773+B8+dHgPEytbQA5eUrJDpnBjvt1Mp0Oh5ZWf8Wjuzixz+o\nvYbsOrJaLuvXl9ryysj9Q90paj8DwMCB01FcfB0yM7tw4kR/hT0XAAhSUwkIIdKncmnOQuUc67uL\nFBMvy7gc8DnAKYnHjr0Su3fXhChGtJeJHwlbMgywu4Xd6q3LhjNFjHCNWqeR8R+2OWUfDcE2WK0r\nr+n+1PowF0fQ30e38atqwvcIf9vTDkTuYzvtRG2Leq96kpa2QKvJyNaUGpdt2pyrVO7nPJNWFw1h\niqQBphK7ykGmYt0+X7myOW7S6E2x/XZRUpVEl00tF6HXt9VakEMcs7Qv9Bvl5tyOaFL75agpfWSX\nU8RaLtKq0UfO7DbnaVi1cnk8q32pjlu9hajvM3Fu8XevFr2XrSBE3a8mXFCN3qQ5ALAUEMjK2o9B\ngwaFWS5F5OVdgUGDUoTv7P18eoI1hrqQplgB2fcHBAJ+rU+c8lUzX6AVw4bloX9/eaNGJnLiq3x2\n9gfIzp6OnJx0fPJJarhNvOCxSCXcFjG+lxdz+AiHDolEV+oeANPSdPfaj64uPdUu3/zU+WfF4SXe\nQy00Y82kFSmPAaoBrl79Kvbvz5CYDvPzVyEzs1ugtmYYj5ycdbj22hPYu/eM1hKzK9Yt5jkcPdqF\nxsYFCARmQtVmPZ5nhGLb/Fl142TmzAl46qktCATOQ66V8DL27DmD2lp/RAI7zhSpkteNR2Hhajz1\n1BILpS4da8OsHYDoqIv5fN0qzNclMWV4Wi0XanWdOrXJdp9G7h9nmd1m9lx2H66Vcw2cnS++b2cW\nogjx3o2NJ3DgQCoCAX3Re4oz4PMugYh1hfj1r39NbrjhBpKamkp2795tPC6WWziLG7fT6J1l4env\nU0msqzf/0fnE+aptLt9m5jOxalj8emW2bYmWf4Nxo/TrN4dkZKhaMNXS0tJ01od6fx4Cpssv4P5Z\nnQZcQXJy7hastUrpO2Y9iWXVeH/oxwUNvbWWZvP5yoUwUasWHa02K8a1jxr1SDh0TmeVmjJneYlH\ns2bJ+IR0/vQtW+o1+1fyeNCPtcSTdcWDeMpFiuUoaeayfWlKEZFCXa1eBm4tcUsvOaGj1u97gUY/\natQo/O53v8PChQsTt+qEYPJTer35yM+3ajuEeAS/GudVFzludNltOu0pK2t/iNpXbxX06dMNQggA\nhH+Lmk5jI8Fnn03H4MGDLfdVNUZV8/J65+LEiSzMmvViSOsoByLwi0cDxo1SW+vHnDk1Spk46rfP\nzy/TlI8zh4A1NNB9DZ9PzHh8EIBa+YveY/jwNzFzZik2b96DI0dm4MyZL0I01HrKY0CMHKrSPtfV\nV1+JY8f24/TpMtC9iHbk55/HlCnfDHHvTAAvikGRnr4IJSU6X7oeYgY3C30kJIhx40Zi3LiRjrnI\nr7yyKFTi0ezvXbr0Npw5MwgtLdT6UjXGcePqtL5c1WJlqK31a7PAvd7lWLpUDdHtGTgtF9nRkRZT\nOUoT6H6eFWLfAaqXYYm0tyBTMstttUOk0FHT94lAzFe+7rrrEtkOCaYQqyFDBmHp0tu09VGt4WDH\nkJVF0L9/PxBCr6eLT1Y3fjjpmZU32xqGKJuX0Qw6HVlbU1M+GhqeARdos0FjaVMBPASAuyxiLT0W\niXhs5kz2/OJzNwFgsef6GgJjxqyWqviwZxRdIK2tx3D6dCt+8pMWdHRsAF001Oo+VgHEJ4B58c3M\nHAox/T4zcwU2b/5AKBf3M+mcYPBnUZfWs9tAtNsQl9vKnsE86SMRYVHedTkXwE5oT548Hhs20IWX\nVt6ihVXWri27YBzq6vjft29/SMGw0lskihisttaP48c7EGm82c1lJwutCZFCR03fJwIX1Edvgp2f\nUvcSeF1THk0CvIWzZ38e9vft3TsPQD9LcotuklKmvK1obPxc0s5PnMgKCWII14idiU58ltLSCmEB\nUf2EW0GjXmiFK5OF4gTWSUMXxoEDP8TMmeOxY0cTMjM/x4ABYsLXgwBYlanGUDKHDJM2o3IZHTp0\nOeRcgch7D3wC6IuYEOKR3isANDc/g87OOaH/9MlujY167c6ERAgcuSKTFXJBdhlyH4u+3C4AX9je\nVzdvamv9EZL4kgs1gau8XF805Px551FZJnArlnH0RLfXJSLa0oHs/idPNgsMttbzdNdNGOz8Ot/8\n5jfJyJEjLT+bN28OHzNx4sSIPvrKykry7W8/SIYP/wYZM2aOI64Q1c/onP3Q5O+L30eZiFR2Z9dO\nDNMf5ROXY6dNfNt2nOQiYi3MwM8Tn9NZf1ojFypIZubsMA++/r3Uk/R0lqpvis5YGFWfJur9Mx88\nZYe0vuNYuY+cjmU2Lqz3N8eEx8L1E+25pn2raOsb6O5Px49+7I8a9YjjZxGvGZt8so5fhj/+8Y8h\nOTmeXH31hIT66OO+khNBH4moKJ5BxCB2vH6zKv5JmozqM+Zrc+6RWOiDZQIwfl2PR0+O5XQyRUpo\nMcHKQRPd4ms3sfR9t1L5HZ+wsN6HFbeZQ9LT7wqHGJqSgEwU07pnitTH8Sw4+o1tvlE9YMA0y7u0\n26CMNF+dkpTZPZdeCXGm+MicTfoxMHBgmfHdJQKxyo1eJ+j//Oc/m28A2D6oNXZUX6pMB9OL0d8v\nkXHE0Q+4nr427QNnRGw861E/yXSCy6k2I7dHFMLq37E/s71FRzM3aUx9fAu9XXRVevpCMmPGYxou\n9LmaDFFnLI7OFzbzoqy+O36uWvKQC3xWbUk/n6LLDo1GyEWSE9GOOf6+2AKywNJ24HFSXLwgqcpo\nrAtzrxD0//mf/0mGDBlCMjMzyeWXX05uv/12/Q0A2wc10wMstr2/3YvRfRcLq6TpvtEOuAtxbdrn\neuF99dXfCYcKsqQjvUYvLgp6IcDaHWkSmMzXoqKyqMLjnPSdbNGJdVTjW+jZfbhLiEh9w1kddQqG\nHN5pR1vtpA2RlALT/KALumjhiNQieq1d7s/orDC9da0vm5kcZUdss64wT72SjKZfZGJVRuV2RLcw\n9wpB7/gGgKLNyYPdFBNcUDDb9rpO+Ot18e7JEtK9DbR/zKaqzhzn1YDoD89NsI/5dmqa91T/USmt\nAgAAGMVJREFU64uNJ67CkcxJEqlSU6X23pmZi+J6/kh9aZ+LwgTeXMIze51SdJuVNrV9+twHe4sg\nWt+3nYJhzdo2j4FkKKPWvohuYf7SCXqTv9jrXW4sqFBQMN32usncGL0YsGVLPcnIuNvS58xUNaWg\nDxxYFp5k3J3jJC3fXlvp6Wfnk6ZSej6mzRUUTI95L0jW6CPtOSSGfiBaOOOvFxOpKm2ew0SXYX4W\nPi5iJ7CzgxMFQ1/acgHJyLgrnPBm7+4lIaqU2JRRtb3RL8yJE889El45efJ4DB68Cc3Navz1M8jN\nvRNqyBywEsOG5dpeM1JMqh2clCr7smPy5PEYOXITGhpYevgJUJrUQjQ3n0ZqarbmrPEoLt6G7dur\nANCQT7notAxreBsn2vrDH5owevRyDB6cc0H6t2/fz1BQMAOtrecE+oP/0965x0ZV7Xv829p4KIKl\nFrEgQmtb+0LaorQ8QhmVtnI5FQPhIh4bTevjcrX4wGMUSlr02gQIB6sRz41XNDFBxD+MppVHlUwH\nI7RF0QOlVBHRIpZTikKhLfJY949hZs+e/Zj9WHtmz8zvk/AH09mz11p7r9/6rd/6PYSgrMLCVYol\nEQMVP790yZOP/Z9QTvPgJjn5BE6fvuiTJkFcmFwuHz0P1GJRrr329NUkXzdCKHvp6+7p/7zd7UtM\nXIJx467H0aPqqbEB39iHE3AXXvcEsw3ItkuPqyQg5+rqwo8/xqCi4h1MnboTy5aV+rkrup99WtoK\nNDT8TTZ40p0Geiw87rfJySdQXf0IKio2KrRCkvtCkUBxNlYGSwFB9KMXZ94TmDjxFvT19aCnR/Br\nTU7uwcsvP6L6e0Z8WQHloBdAvn5nOPPKK4uv9lWcR72vDxgYCFztPpDPd3//r/j5Z4//tifT5v0A\nduDSpf/FgQMuHDiwEy7XO8jO/hCvvGI+QCeQYBae7/952+XOBS8VTHrfBbFw2Qh3MZx+n/7vBHAK\nwGKMGBGLmTPTUV39CFat+vCqYNWeI8UsgeaHOyo7BkKsxvsQgvLkFoliFBY2Y/v2V1BXt9FbkzUu\nblBUXMaDsND0AmAQspXK1zjQG+UtFozyOfgDZcKUkgBx1lt3HpqUlBH4/Xf9yqgerAyWAsBxb6CA\n5xa8T9QZM2bztaOpwUrE7mXi7biWaveNjfI+38Lhtmdb77FjqtnEVyh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2279 "prompt_number": 4,
2280 "text": [
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2284 ],
2285 "prompt_number": 4
182 },
2286 },
183 {
2287 {
184 "cell_type": "code",
2288 "cell_type": "code",
185 "collapsed": false,
2289 "collapsed": false,
186 "input": [
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187 "x.svg"
2291 "x.svg"
188 ],
2292 ],
189 "language": "python",
2293 "language": "python",
190 "metadata": {},
2294 "metadata": {},
191 "outputs": []
2295 "outputs": [
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3769 " </g>\n",
3770 " </g>\n",
3771 " </g>\n",
3772 " <defs>\n",
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3777 "</svg>"
3778 ],
3779 "text": [
3780 "<IPython.core.display.SVG at 0x10aad6a10>"
3781 ]
3782 }
3783 ],
3784 "prompt_number": 5
192 },
3785 },
193 {
3786 {
194 "cell_type": "markdown",
3787 "cell_type": "markdown",
195 "metadata": {},
3788 "metadata": {},
196 "source": [
3789 "source": [
197 "Since IPython only displays by default as an ``Out[]`` cell the result of the last computation, we can use the\n",
3790 "Since IPython only displays by default as an ``Out[]`` cell the result of the last computation, we can use the\n",
198 "``display()`` function to show more than one representation in a single cell:"
3791 "``display()`` function to show more than one representation in a single cell:"
199 ]
3792 ]
200 },
3793 },
201 {
3794 {
202 "cell_type": "code",
3795 "cell_type": "code",
203 "collapsed": false,
3796 "collapsed": false,
204 "input": [
3797 "input": [
205 "display(x.png)\n",
3798 "display(x.png)\n",
206 "display(x.svg)"
3799 "display(x.svg)"
207 ],
3800 ],
208 "language": "python",
3801 "language": "python",
209 "metadata": {},
3802 "metadata": {},
210 "outputs": []
3803 "outputs": [
3804 {
3805 "output_type": "display_data",
3806 "png": 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BsF1UdAtic/PL8PnmY8yY5BRzScQinGioY6uwkODQIfH9OxtPTpRR7hrSz1H+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\n5xa8T9QZM2bztaOpwUrE7mXi7biWaveNjfI+38Lhtmdb77FjqtnEVyh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5293 "text": [
5294 "<IPython.core.display.SVG at 0x10aaf8d90>"
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5296 }
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5298 "prompt_number": 6
211 },
5299 },
212 {
5300 {
213 "cell_type": "markdown",
5301 "cell_type": "markdown",
214 "metadata": {},
5302 "metadata": {},
215 "source": [
5303 "source": [
216 "Now let's create a new Gaussian with different parameters"
5304 "Now let's create a new Gaussian with different parameters"
217 ]
5305 ]
218 },
5306 },
219 {
5307 {
220 "cell_type": "code",
5308 "cell_type": "code",
221 "collapsed": false,
5309 "collapsed": false,
222 "input": [
5310 "input": [
223 "x2 = Gaussian(0.5, 0.2, 2000)\n",
5311 "x2 = Gaussian(0.5, 0.2, 2000)\n",
224 "x2"
5312 "x2"
225 ],
5313 ],
226 "language": "python",
5314 "language": "python",
227 "metadata": {},
5315 "metadata": {},
228 "outputs": []
5316 "outputs": [
5317 {
5318 "latex": [
5319 "$\\mathcal{N}(\\mu=0.5, \\sigma=0.2),\\ N=2000$"
5320 ],
5321 "output_type": "pyout",
5322 "png": 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/zIQJE4LPdO/enbq6OhobG/nmm29ITk7G4/G0afOyojXcbWsDiloS6UpKfGzd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ignFMIPfvBeBHzAn5kYQ2trV9koGW5lO68lvv9lpD3iXZ+H10sIPiE5OQ0QAXZy30j/eHl5FWpr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\nD+bM0OnTs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8449 "text": [
8450 "<__main__.Gaussian at 0x10aaf8fd0>"
8451 ]
8452 }
8453 ],
8454 "prompt_number": 7
229 },
8455 },
230 {
8456 {
231 "cell_type": "markdown",
8457 "cell_type": "markdown",
232 "metadata": {},
8458 "metadata": {},
233 "source": [
8459 "source": [
234 "We can easily compare them by displaying their histograms"
8460 "We can easily compare them by displaying their histograms"
235 ]
8461 ]
236 },
8462 },
237 {
8463 {
238 "cell_type": "code",
8464 "cell_type": "code",
239 "collapsed": false,
8465 "collapsed": false,
240 "input": [
8466 "input": [
241 "display(x.hist)\n",
8467 "display(x.hist)\n",
242 "display(x2.hist)"
8468 "display(x2.hist)"
243 ],
8469 ],
244 "language": "python",
8470 "language": "python",
245 "metadata": {},
8471 "metadata": {},
246 "outputs": []
8472 "outputs": [
8473 {
8474 "output_type": "display_data",
8475 "png": 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8476 "text": [
8477 "<IPython.core.display.Image at 0x10aaf3b50>"
8478 ]
8479 },
8480 {
8481 "output_type": "display_data",
8482 "png": 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dRiGEuHDhgpg+fbqYO3euKCsrC3tGIXznbGlpEePGjRO7du0SQogu30c4+MpZ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\n",
8483 "text": [
8484 "<IPython.core.display.Image at 0x10aa6a450>"
8485 ]
8486 }
8487 ],
8488 "prompt_number": 8
8489 },
8490 {
8491 "cell_type": "heading",
8492 "level": 2,
8493 "metadata": {},
8494 "source": [
8495 "Adding IPython display support to existing objects"
8496 ]
8497 },
8498 {
8499 "cell_type": "markdown",
8500 "metadata": {},
8501 "source": [
8502 "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."
8503 ]
247 },
8504 },
248 {
8505 {
249 "cell_type": "markdown",
8506 "cell_type": "markdown",
250 "metadata": {},
8507 "metadata": {},
251 "source": [
8508 "source": [
252 "## Adding IPython display support to existing objects\n",
253 "\n",
254 "When you are directly writing your own classes, you can adapt them for display in IPython by \n",
255 "following the above example. But in practice, we often need to work with existing code we\n",
256 "can't modify. \n",
257 "\n",
258 "We now illustrate how to add these kinds of extended display capabilities to existing objects.\n",
259 "We will use the numpy polynomials and change their default representation to be a formatted\n",
260 "LaTeX expression.\n",
261 "\n",
262 "First, consider how a numpy polynomial object renders by default:"
8509 "First, consider how a numpy polynomial object renders by default:"
263 ]
8510 ]
264 },
8511 },
265 {
8512 {
266 "cell_type": "code",
8513 "cell_type": "code",
267 "collapsed": false,
8514 "collapsed": false,
268 "input": [
8515 "input": [
269 "p = np.polynomial.Polynomial([1,2,3], [-10, 10])\n",
8516 "p = np.polynomial.Polynomial([1,2,3], [-10, 10])\n",
270 "p"
8517 "p"
271 ],
8518 ],
272 "language": "python",
8519 "language": "python",
273 "metadata": {},
8520 "metadata": {},
274 "outputs": []
8521 "outputs": [
8522 {
8523 "output_type": "pyout",
8524 "prompt_number": 9,
8525 "text": [
8526 "Polynomial([ 1., 2., 3.], [-10., 10.], [-1., 1.])"
8527 ]
8528 }
8529 ],
8530 "prompt_number": 9
275 },
8531 },
276 {
8532 {
277 "cell_type": "markdown",
8533 "cell_type": "markdown",
278 "metadata": {},
8534 "metadata": {},
279 "source": [
8535 "source": [
280 "Next, we define a function that pretty-prints a polynomial as a LaTeX string:"
8536 "Next, we define a function that pretty-prints a polynomial as a LaTeX string:"
281 ]
8537 ]
282 },
8538 },
283 {
8539 {
284 "cell_type": "code",
8540 "cell_type": "code",
285 "collapsed": false,
8541 "collapsed": false,
286 "input": [
8542 "input": [
287 "def poly2latex(p):\n",
8543 "def poly2latex(p):\n",
288 " terms = ['%.2g' % p.coef[0]]\n",
8544 " terms = ['%.2g' % p.coef[0]]\n",
289 " if len(p) > 1:\n",
8545 " if len(p) > 1:\n",
290 " term = 'x'\n",
8546 " term = 'x'\n",
291 " c = p.coef[1]\n",
8547 " c = p.coef[1]\n",
292 " if c!=1:\n",
8548 " if c!=1:\n",
293 " term = ('%.2g ' % c) + term\n",
8549 " term = ('%.2g ' % c) + term\n",
294 " terms.append(term)\n",
8550 " terms.append(term)\n",
295 " if len(p) > 2:\n",
8551 " if len(p) > 2:\n",
296 " for i in range(2, len(p)):\n",
8552 " for i in range(2, len(p)):\n",
297 " term = 'x^%d' % i\n",
8553 " term = 'x^%d' % i\n",
298 " c = p.coef[i]\n",
8554 " c = p.coef[i]\n",
299 " if c!=1:\n",
8555 " if c!=1:\n",
300 " term = ('%.2g ' % c) + term\n",
8556 " term = ('%.2g ' % c) + term\n",
301 " terms.append(term)\n",
8557 " terms.append(term)\n",
302 " px = '$P(x)=%s$' % '+'.join(terms)\n",
8558 " px = '$P(x)=%s$' % '+'.join(terms)\n",
303 " dom = r', domain: $[%.2g,\\ %.2g]$' % tuple(p.domain)\n",
8559 " dom = r', domain: $[%.2g,\\ %.2g]$' % tuple(p.domain)\n",
304 " return px+dom"
8560 " return px+dom"
305 ],
8561 ],
306 "language": "python",
8562 "language": "python",
307 "metadata": {},
8563 "metadata": {},
308 "outputs": []
8564 "outputs": [],
8565 "prompt_number": 10
309 },
8566 },
310 {
8567 {
311 "cell_type": "markdown",
8568 "cell_type": "markdown",
312 "metadata": {},
8569 "metadata": {},
313 "source": [
8570 "source": [
314 "This produces, on our polynomial ``p``, the following:"
8571 "This produces, on our polynomial ``p``, the following:"
315 ]
8572 ]
316 },
8573 },
317 {
8574 {
318 "cell_type": "code",
8575 "cell_type": "code",
319 "collapsed": false,
8576 "collapsed": false,
320 "input": [
8577 "input": [
321 "poly2latex(p)"
8578 "poly2latex(p)"
322 ],
8579 ],
323 "language": "python",
8580 "language": "python",
324 "metadata": {},
8581 "metadata": {},
325 "outputs": []
8582 "outputs": [
8583 {
8584 "output_type": "pyout",
8585 "prompt_number": 11,
8586 "text": [
8587 "'$P(x)=1+2 x+3 x^2$, domain: $[-10,\\\\ 10]$'"
8588 ]
8589 }
8590 ],
8591 "prompt_number": 11
326 },
8592 },
327 {
8593 {
328 "cell_type": "code",
8594 "cell_type": "code",
329 "collapsed": false,
8595 "collapsed": false,
330 "input": [
8596 "input": [
331 "from IPython.display import Latex\n",
8597 "from IPython.display import Latex\n",
332 "Latex(poly2latex(p))"
8598 "Latex(poly2latex(p))"
333 ],
8599 ],
334 "language": "python",
8600 "language": "python",
335 "metadata": {},
8601 "metadata": {},
336 "outputs": []
8602 "outputs": [
8603 {
8604 "latex": [
8605 "$P(x)=1+2 x+3 x^2$, domain: $[-10,\\ 10]$"
8606 ],
8607 "output_type": "pyout",
8608 "prompt_number": 12,
8609 "text": [
8610 "<IPython.core.display.Latex at 0x108f90350>"
8611 ]
8612 }
8613 ],
8614 "prompt_number": 12
337 },
8615 },
338 {
8616 {
339 "cell_type": "markdown",
8617 "cell_type": "markdown",
340 "metadata": {},
8618 "metadata": {},
341 "source": [
8619 "source": [
342 "But we can configure IPython to do this automatically for us as follows. We hook into the\n",
8620 "But we can configure IPython to do this automatically for us as follows. We hook into the\n",
343 "IPython display system and instruct it to use ``poly2latex`` for the latex mimetype, when\n",
8621 "IPython display system and instruct it to use ``poly2latex`` for the latex mimetype, when\n",
344 "encountering objects of the ``Polynomial`` type defined in the\n",
8622 "encountering objects of the ``Polynomial`` type defined in the\n",
345 "``numpy.polynomial.polynomial`` module:"
8623 "``numpy.polynomial.polynomial`` module:"
346 ]
8624 ]
347 },
8625 },
348 {
8626 {
349 "cell_type": "code",
8627 "cell_type": "code",
350 "collapsed": false,
8628 "collapsed": false,
351 "input": [
8629 "input": [
352 "ip = get_ipython()\n",
8630 "ip = get_ipython()\n",
353 "latex_formatter = ip.display_formatter.formatters['text/latex']\n",
8631 "latex_formatter = ip.display_formatter.formatters['text/latex']\n",
354 "latex_formatter.for_type_by_name('numpy.polynomial.polynomial',\n",
8632 "latex_formatter.for_type_by_name('numpy.polynomial.polynomial',\n",
355 " 'Polynomial', poly2latex)"
8633 " 'Polynomial', poly2latex)"
356 ],
8634 ],
357 "language": "python",
8635 "language": "python",
358 "metadata": {},
8636 "metadata": {},
359 "outputs": []
8637 "outputs": [],
8638 "prompt_number": 13
360 },
8639 },
361 {
8640 {
362 "cell_type": "markdown",
8641 "cell_type": "markdown",
363 "metadata": {},
8642 "metadata": {},
364 "source": [
8643 "source": [
365 "For more examples on how to use the above system, and how to bundle similar print functions\n",
8644 "For more examples on how to use the above system, and how to bundle similar print functions\n",
366 "into a convenient IPython extension, see the ``IPython/extensions/sympyprinting.py`` file. \n",
8645 "into a convenient IPython extension, see the ``IPython/extensions/sympyprinting.py`` file. \n",
367 "The machinery that defines the display system is in the ``display.py`` and ``displaypub.py`` \n",
8646 "The machinery that defines the display system is in the ``display.py`` and ``displaypub.py`` \n",
368 "files in ``IPython/core``.\n",
8647 "files in ``IPython/core``.\n",
369 "\n",
8648 "\n",
370 "Once our special printer has been loaded, all polynomials will be represented by their \n",
8649 "Once our special printer has been loaded, all polynomials will be represented by their \n",
371 "mathematical form instead:"
8650 "mathematical form instead:"
372 ]
8651 ]
373 },
8652 },
374 {
8653 {
375 "cell_type": "code",
8654 "cell_type": "code",
376 "collapsed": false,
8655 "collapsed": false,
377 "input": [
8656 "input": [
378 "p"
8657 "p"
379 ],
8658 ],
380 "language": "python",
8659 "language": "python",
381 "metadata": {},
8660 "metadata": {},
382 "outputs": []
8661 "outputs": [
8662 {
8663 "latex": [
8664 "$P(x)=1+2 x+3 x^2$, domain: $[-10,\\ 10]$"
8665 ],
8666 "output_type": "pyout",
8667 "prompt_number": 14,
8668 "text": [
8669 "Polynomial([ 1., 2., 3.], [-10., 10.], [-1., 1.])"
8670 ]
8671 }
8672 ],
8673 "prompt_number": 14
383 },
8674 },
384 {
8675 {
385 "cell_type": "code",
8676 "cell_type": "code",
386 "collapsed": false,
8677 "collapsed": false,
387 "input": [
8678 "input": [
388 "p2 = np.polynomial.Polynomial([-20, 71, -15, 1])\n",
8679 "p2 = np.polynomial.Polynomial([-20, 71, -15, 1])\n",
389 "p2"
8680 "p2"
390 ],
8681 ],
391 "language": "python",
8682 "language": "python",
392 "metadata": {},
8683 "metadata": {},
393 "outputs": []
8684 "outputs": [
8685 {
8686 "latex": [
8687 "$P(x)=-20+71 x+-15 x^2+x^3$, domain: $[-1,\\ 1]$"
8688 ],
8689 "output_type": "pyout",
8690 "prompt_number": 15,
8691 "text": [
8692 "Polynomial([-20., 71., -15., 1.], [-1., 1.], [-1., 1.])"
8693 ]
8694 }
8695 ],
8696 "prompt_number": 15
394 }
8697 }
395 ],
8698 ],
396 "metadata": {}
8699 "metadata": {}
397 }
8700 }
398 ]
8701 ]
399 } No newline at end of file
8702 }
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@@ -1,857 +1,1129 b''
1 {
1 {
2 "metadata": {
2 "metadata": {
3 "name": "Part 5 - Rich Display System"
3 "name": "Part 5 - Rich Display System"
4 },
4 },
5 "nbformat": 3,
5 "nbformat": 3,
6 "nbformat_minor": 0,
6 "nbformat_minor": 0,
7 "worksheets": [
7 "worksheets": [
8 {
8 {
9 "cells": [
9 "cells": [
10 {
10 {
11 "cell_type": "heading",
11 "cell_type": "heading",
12 "level": 1,
12 "level": 1,
13 "metadata": {},
13 "metadata": {},
14 "source": [
14 "source": [
15 "IPython's Rich Display System"
15 "IPython's Rich Display System"
16 ]
16 ]
17 },
17 },
18 {
18 {
19 "cell_type": "markdown",
19 "cell_type": "markdown",
20 "metadata": {},
20 "metadata": {},
21 "source": [
21 "source": [
22 "In Python, objects can declare their textual representation using the `__repr__` and `__str__` methods. IPython expands on this idea and allows objects to declare other, richer representations including:\n",
22 "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",
23 "\n",
23 "\n",
24 "* HTML\n",
24 "* HTML\n",
25 "* JSON\n",
25 "* JSON\n",
26 "* Images = PNG/JPEG\n",
26 "* PNG\n",
27 "* JPEG\n",
27 "* SVG\n",
28 "* SVG\n",
28 "* LaTeX\n",
29 "* LaTeX\n",
29 "\n",
30 "\n",
30 "A single object can declare some or all of these representations; all are handled by IPython's *display system*. This Notebook shows how you can use this display system to incorporate a broad range of content into your Notebooks."
31 "A single object can declare some or all of these representations; all are handled by IPython's *display system*. This Notebook shows how you can use this display system to incorporate a broad range of content into your Notebooks."
31 ]
32 ]
32 },
33 },
33 {
34 {
34 "cell_type": "heading",
35 "cell_type": "heading",
35 "level": 2,
36 "level": 2,
36 "metadata": {},
37 "metadata": {},
37 "source": [
38 "source": [
38 "Basic display imports"
39 "Basic display imports"
39 ]
40 ]
40 },
41 },
41 {
42 {
42 "cell_type": "markdown",
43 "cell_type": "markdown",
43 "metadata": {},
44 "metadata": {},
44 "source": [
45 "source": [
45 "The `display` function is a general purpose tool for displaying different representations of objects. Think of it as `print` for these rich representations."
46 "The `display` function is a general purpose tool for displaying different representations of objects. Think of it as `print` for these rich representations."
46 ]
47 ]
47 },
48 },
48 {
49 {
49 "cell_type": "code",
50 "cell_type": "code",
50 "collapsed": false,
51 "collapsed": false,
51 "input": [
52 "input": [
52 "from IPython.display import display"
53 "from IPython.display import display"
53 ],
54 ],
54 "language": "python",
55 "language": "python",
55 "metadata": {},
56 "metadata": {},
56 "outputs": [],
57 "outputs": [],
57 "prompt_number": 8
58 "prompt_number": 8
58 },
59 },
59 {
60 {
60 "cell_type": "markdown",
61 "cell_type": "markdown",
61 "metadata": {},
62 "metadata": {},
62 "source": [
63 "source": [
63 "A few points:\n",
64 "A few points:\n",
64 "\n",
65 "\n",
65 "* Calling `display` on an object will send **all** possible representations to the Notebook.\n",
66 "* Calling `display` on an object will send **all** possible representations to the Notebook.\n",
66 "* These representations are stored in the Notebook document.\n",
67 "* These representations are stored in the Notebook document.\n",
67 "* In general the Notebook will use the richest available representation.\n",
68 "* In general the Notebook will use the richest available representation.\n",
68 "\n",
69 "\n",
69 "If you want to display a particular representationa, there are specific functions for that:"
70 "If you want to display a particular representation, there are specific functions for that:"
70 ]
71 ]
71 },
72 },
72 {
73 {
73 "cell_type": "code",
74 "cell_type": "code",
74 "collapsed": false,
75 "collapsed": false,
75 "input": [
76 "input": [
76 "from IPython.display import display_pretty, display_html, display_jpeg, display_png, display_json, display_latex, display_svg"
77 "from IPython.display import display_pretty, display_html, display_jpeg, display_png, display_json, display_latex, display_svg"
77 ],
78 ],
78 "language": "python",
79 "language": "python",
79 "metadata": {},
80 "metadata": {},
80 "outputs": [],
81 "outputs": [],
81 "prompt_number": 11
82 "prompt_number": 11
82 },
83 },
83 {
84 {
84 "cell_type": "heading",
85 "cell_type": "heading",
85 "level": 2,
86 "level": 2,
86 "metadata": {},
87 "metadata": {},
87 "source": [
88 "source": [
88 "Images"
89 "Images"
89 ]
90 ]
90 },
91 },
91 {
92 {
92 "cell_type": "markdown",
93 "cell_type": "markdown",
93 "metadata": {},
94 "metadata": {},
94 "source": [
95 "source": [
95 "To work with images (JPEG, PNG) use the `Image` class."
96 "To work with images (JPEG, PNG) use the `Image` class."
96 ]
97 ]
97 },
98 },
98 {
99 {
99 "cell_type": "code",
100 "cell_type": "code",
100 "collapsed": false,
101 "collapsed": false,
101 "input": [
102 "input": [
102 "from IPython.display import Image"
103 "from IPython.display import Image"
103 ],
104 ],
104 "language": "python",
105 "language": "python",
105 "metadata": {},
106 "metadata": {},
106 "outputs": [],
107 "outputs": [],
107 "prompt_number": 2
108 "prompt_number": 2
108 },
109 },
109 {
110 {
110 "cell_type": "code",
111 "cell_type": "code",
111 "collapsed": false,
112 "collapsed": false,
112 "input": [
113 "input": [
113 "i = Image(filename='../../docs/source/_static/logo.png')"
114 "i = Image(filename='../../docs/source/_static/logo.png')"
114 ],
115 ],
115 "language": "python",
116 "language": "python",
116 "metadata": {},
117 "metadata": {},
117 "outputs": [],
118 "outputs": [],
118 "prompt_number": 5
119 "prompt_number": 5
119 },
120 },
120 {
121 {
121 "cell_type": "markdown",
122 "cell_type": "markdown",
122 "metadata": {},
123 "metadata": {},
123 "source": [
124 "source": [
124 "Returning an `Image` object from an expression will automatically display it:"
125 "Returning an `Image` object from an expression will automatically display it:"
125 ]
126 ]
126 },
127 },
127 {
128 {
128 "cell_type": "code",
129 "cell_type": "code",
129 "collapsed": false,
130 "collapsed": false,
130 "input": [
131 "input": [
131 "i"
132 "i"
132 ],
133 ],
133 "language": "python",
134 "language": "python",
134 "metadata": {},
135 "metadata": {},
135 "outputs": [
136 "outputs": [
136 {
137 {
137 "output_type": "pyout",
138 "output_type": "pyout",
138 "png": 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139 "png": 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139 "prompt_number": 6,
140 "prompt_number": 6,
140 "text": [
141 "text": [
141 "<IPython.core.display.Image at 0x107ea26d0>"
142 "<IPython.core.display.Image at 0x107ea26d0>"
142 ]
143 ]
143 }
144 }
144 ],
145 ],
145 "prompt_number": 6
146 "prompt_number": 6
146 },
147 },
147 {
148 {
148 "cell_type": "markdown",
149 "cell_type": "markdown",
149 "metadata": {},
150 "metadata": {},
150 "source": [
151 "source": [
151 "Or you can pass it to `display`:"
152 "Or you can pass it to `display`:"
152 ]
153 ]
153 },
154 },
154 {
155 {
155 "cell_type": "code",
156 "cell_type": "code",
156 "collapsed": false,
157 "collapsed": false,
157 "input": [
158 "input": [
158 "display(i)"
159 "display(i)"
159 ],
160 ],
160 "language": "python",
161 "language": "python",
161 "metadata": {},
162 "metadata": {},
162 "outputs": [
163 "outputs": [
163 {
164 {
164 "output_type": "display_data",
165 "output_type": "display_data",
165 "png": 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166 "png": 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166 "text": [
167 "text": [
167 "<IPython.core.display.Image at 0x107ea26d0>"
168 "<IPython.core.display.Image at 0x107ea26d0>"
168 ]
169 ]
169 }
170 }
170 ],
171 ],
171 "prompt_number": 9
172 "prompt_number": 9
172 },
173 },
173 {
174 {
174 "cell_type": "markdown",
175 "cell_type": "markdown",
175 "metadata": {},
176 "metadata": {},
176 "source": [
177 "source": [
177 "An image can also be displayed from raw data or a url"
178 "An image can also be displayed from raw data or a url"
178 ]
179 ]
179 },
180 },
180 {
181 {
181 "cell_type": "code",
182 "cell_type": "code",
182 "collapsed": false,
183 "collapsed": false,
183 "input": [
184 "input": [
184 "Image(url='http://python.org/images/python-logo.gif')"
185 "Image(url='http://python.org/images/python-logo.gif')"
185 ],
186 ],
186 "language": "python",
187 "language": "python",
187 "metadata": {},
188 "metadata": {},
188 "outputs": [
189 "outputs": [
189 {
190 {
190 "html": [
191 "html": [
191 "<img src=\"http://python.org/images/python-logo.gif\" />"
192 "<img src=\"http://python.org/images/python-logo.gif\" />"
192 ],
193 ],
193 "output_type": "pyout",
194 "output_type": "pyout",
194 "prompt_number": 2,
195 "prompt_number": 2,
195 "text": [
196 "text": [
196 "<IPython.core.display.Image at 0x1060e7410>"
197 "<IPython.core.display.Image at 0x1060e7410>"
197 ]
198 ]
198 }
199 }
199 ],
200 ],
200 "prompt_number": 2
201 "prompt_number": 2
201 },
202 },
202 {
203 {
203 "cell_type": "markdown",
204 "cell_type": "markdown",
204 "metadata": {},
205 "metadata": {},
205 "source": [
206 "source": [
206 "SVG images are also supported out of the box (since modern browsers do a good job of rendering them):"
207 "SVG images are also supported out of the box (since modern browsers do a good job of rendering them):"
207 ]
208 ]
208 },
209 },
209 {
210 {
210 "cell_type": "code",
211 "cell_type": "code",
211 "collapsed": false,
212 "collapsed": false,
212 "input": [
213 "input": [
213 "from IPython.display import SVG\n",
214 "from IPython.display import SVG\n",
214 "SVG(filename='python-logo.svg')"
215 "SVG(filename='python-logo.svg')"
215 ],
216 ],
216 "language": "python",
217 "language": "python",
217 "metadata": {},
218 "metadata": {},
218 "outputs": [
219 "outputs": [
219 {
220 {
220 "output_type": "pyout",
221 "output_type": "pyout",
221 "prompt_number": 3,
222 "prompt_number": 3,
222 "svg": [
223 "svg": [
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224 "<svg height=\"115.02pt\" id=\"svg2\" inkscape:version=\"0.43\" sodipodi:docbase=\"/home/sdeibel\" sodipodi:docname=\"logo-python-generic.svg\" sodipodi:version=\"0.32\" version=\"1.0\" width=\"388.84pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:cc=\"http://web.resource.org/cc/\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:inkscape=\"http://www.inkscape.org/namespaces/inkscape\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\" xmlns:sodipodi=\"http://inkscape.sourceforge.net/DTD/sodipodi-0.dtd\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
224 " <metadata id=\"metadata2193\">\n",
225 " <metadata id=\"metadata2193\">\n",
225 " <rdf:RDF>\n",
226 " <rdf:RDF>\n",
226 " <cc:Work rdf:about=\"\">\n",
227 " <cc:Work rdf:about=\"\">\n",
227 " <dc:format>image/svg+xml</dc:format>\n",
228 " <dc:format>image/svg+xml</dc:format>\n",
228 " <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
229 " <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
229 " </cc:Work>\n",
230 " </cc:Work>\n",
230 " </rdf:RDF>\n",
231 " </rdf:RDF>\n",
231 " </metadata>\n",
232 " </metadata>\n",
232 " <sodipodi:namedview bordercolor=\"#666666\" borderopacity=\"1.0\" id=\"base\" inkscape:current-layer=\"svg2\" inkscape:cx=\"243.02499\" inkscape:cy=\"71.887497\" inkscape:pageopacity=\"0.0\" inkscape:pageshadow=\"2\" inkscape:window-height=\"543\" inkscape:window-width=\"791\" inkscape:window-x=\"0\" inkscape:window-y=\"0\" inkscape:zoom=\"1.4340089\" pagecolor=\"#ffffff\"/>\n",
233 " <sodipodi:namedview bordercolor=\"#666666\" borderopacity=\"1.0\" id=\"base\" inkscape:current-layer=\"svg2\" inkscape:cx=\"243.02499\" inkscape:cy=\"71.887497\" inkscape:pageopacity=\"0.0\" inkscape:pageshadow=\"2\" inkscape:window-height=\"543\" inkscape:window-width=\"791\" inkscape:window-x=\"0\" inkscape:window-y=\"0\" inkscape:zoom=\"1.4340089\" pagecolor=\"#ffffff\"/>\n",
233 " <defs id=\"defs4\">\n",
234 " <defs id=\"defs4\">\n",
234 " <linearGradient id=\"linearGradient2795\">\n",
235 " <linearGradient id=\"linearGradient2795\">\n",
235 " <stop id=\"stop2797\" offset=\"0\" style=\"stop-color:#b8b8b8;stop-opacity:0.49803922\"/>\n",
236 " <stop id=\"stop2797\" offset=\"0\" style=\"stop-color:#b8b8b8;stop-opacity:0.49803922\"/>\n",
236 " <stop id=\"stop2799\" offset=\"1\" style=\"stop-color:#7f7f7f;stop-opacity:0\"/>\n",
237 " <stop id=\"stop2799\" offset=\"1\" style=\"stop-color:#7f7f7f;stop-opacity:0\"/>\n",
237 " </linearGradient>\n",
238 " </linearGradient>\n",
238 " <linearGradient id=\"linearGradient2787\">\n",
239 " <linearGradient id=\"linearGradient2787\">\n",
239 " <stop id=\"stop2789\" offset=\"0\" style=\"stop-color:#7f7f7f;stop-opacity:0.5\"/>\n",
240 " <stop id=\"stop2789\" offset=\"0\" style=\"stop-color:#7f7f7f;stop-opacity:0.5\"/>\n",
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282 " </g>\n",
283 " </g>\n",
283 "</svg>"
284 "</svg>"
284 ],
285 ],
285 "text": [
286 "text": [
286 "<IPython.core.display.SVG at 0x10fb998d0>"
287 "<IPython.core.display.SVG at 0x10fb998d0>"
287 ]
288 ]
288 }
289 }
289 ],
290 ],
290 "prompt_number": 3
291 "prompt_number": 3
291 },
292 },
292 {
293 {
293 "cell_type": "heading",
294 "cell_type": "heading",
294 "level": 3,
295 "level": 3,
295 "metadata": {},
296 "metadata": {},
296 "source": [
297 "source": [
297 "Embedded vs Non-embedded Images"
298 "Embedded vs Non-embedded Images"
298 ]
299 ]
299 },
300 },
300 {
301 {
301 "cell_type": "markdown",
302 "cell_type": "markdown",
302 "metadata": {},
303 "metadata": {},
303 "source": [
304 "source": [
304 "By default, image data is embedded in the Notebook document so that the images can be viewed offline. However it is also possible to tell the `Image` class to only store a *link* to the image. Let's see how this works using a webcam at Berkeley."
305 "By default, image data is embedded in the Notebook document so that the images can be viewed offline. However it is also possible to tell the `Image` class to only store a *link* to the image. Let's see how this works using a webcam at Berkeley."
305 ]
306 ]
306 },
307 },
307 {
308 {
308 "cell_type": "code",
309 "cell_type": "code",
309 "collapsed": false,
310 "collapsed": false,
310 "input": [
311 "input": [
311 "# by default Image data are embedded\n",
312 "# by default Image data are embedded\n",
312 "Embed = Image( 'http://scienceview.berkeley.edu/view/images/newview.jpg')\n",
313 "Embed = Image( 'http://scienceview.berkeley.edu/view/images/newview.jpg')\n",
313 "\n",
314 "\n",
314 "# if kwarg `url` is given, the embedding is assumed to be false\n",
315 "# if kwarg `url` is given, the embedding is assumed to be false\n",
315 "SoftLinked = Image(url='http://scienceview.berkeley.edu/view/images/newview.jpg')\n",
316 "SoftLinked = Image(url='http://scienceview.berkeley.edu/view/images/newview.jpg')\n",
316 "\n",
317 "\n",
317 "# In each case, embed can be specified explicitly with the `embed` kwarg\n",
318 "# In each case, embed can be specified explicitly with the `embed` kwarg\n",
318 "# ForceEmbed = Image(url='http://scienceview.berkeley.edu/view/images/newview.jpg', embed=True)"
319 "# ForceEmbed = Image(url='http://scienceview.berkeley.edu/view/images/newview.jpg', embed=True)"
319 ],
320 ],
320 "language": "python",
321 "language": "python",
321 "metadata": {},
322 "metadata": {},
322 "outputs": [],
323 "outputs": [],
323 "prompt_number": 4
324 "prompt_number": 4
324 },
325 },
325 {
326 {
326 "cell_type": "markdown",
327 "cell_type": "markdown",
327 "metadata": {},
328 "metadata": {},
328 "source": [
329 "source": [
329 "Here is the embedded version. Note that this image was pulled from the webcam when this code cell was originally run and stored in the Notebook. Unless we rerun this cell, this is not todays image."
330 "Here is the embedded version. Note that this image was pulled from the webcam when this code cell was originally run and stored in the Notebook. Unless we rerun this cell, this is not todays image."
330 ]
331 ]
331 },
332 },
332 {
333 {
333 "cell_type": "code",
334 "cell_type": "code",
334 "collapsed": false,
335 "collapsed": false,
335 "input": [
336 "input": [
336 "Embed"
337 "Embed"
337 ],
338 ],
338 "language": "python",
339 "language": "python",
339 "metadata": {},
340 "metadata": {},
340 "outputs": [
341 "outputs": [
341 {
342 {
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+lASoKhSUc4oCA1M0AM+tDNAHPGaG6oAbsVCc1RQpNAmhAZoE0KLm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JsEjY4wSD5ZrN0s+s9D9PaXqHQ/Ul3rd9ds/i313vAgg+nw8Rs7qAQSuMHO0epxzknJKK/3Nc1D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\nfwpJIyi7nVphszkjeCo54rKUor2g7esdX/Grqbpq66YurnqC60m+s7Sxu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+lASoKhSUc4oCA1M0AM+tDNAHPGaG6oAbsVCc1RQpNAmhAZoE0KLm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JsEjY4wSD5ZrN0s+s9D9PaXqHQ/Ul3rd9ds/i313vAgg+nw8Rs7qAQSuMHO0epxzknJKK/3Nc1D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\nfwpJIyi7nVphszkjeCo54rKUor2g7esdX/Grqbpq66YurnqC60m+s7Sxu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343 "output_type": "pyout",
344 "output_type": "pyout",
344 "prompt_number": 5,
345 "prompt_number": 5,
345 "text": [
346 "text": [
346 "<IPython.core.display.Image at 0x10fb99b50>"
347 "<IPython.core.display.Image at 0x10fb99b50>"
347 ]
348 ]
348 }
349 }
349 ],
350 ],
350 "prompt_number": 5
351 "prompt_number": 5
351 },
352 },
352 {
353 {
353 "cell_type": "markdown",
354 "cell_type": "markdown",
354 "metadata": {},
355 "metadata": {},
355 "source": [
356 "source": [
356 "Here is today's image from same webcam at Berkeley, (refreshed every minutes, if you reload the notebook), visible only with an active internet connection, that should be different from the previous one. Notebooks saved with this kind of image will be lighter and always reflect the current version of the source, but the image won't display offline."
357 "Here is today's image from same webcam at Berkeley, (refreshed every minutes, if you reload the notebook), visible only with an active internet connection, that should be different from the previous one. Notebooks saved with this kind of image will be lighter and always reflect the current version of the source, but the image won't display offline."
357 ]
358 ]
358 },
359 },
359 {
360 {
360 "cell_type": "code",
361 "cell_type": "code",
361 "collapsed": false,
362 "collapsed": false,
362 "input": [
363 "input": [
363 "SoftLinked"
364 "SoftLinked"
364 ],
365 ],
365 "language": "python",
366 "language": "python",
366 "metadata": {},
367 "metadata": {},
367 "outputs": [
368 "outputs": [
368 {
369 {
369 "html": [
370 "html": [
370 "<img src=\"http://scienceview.berkeley.edu/view/images/newview.jpg\" />"
371 "<img src=\"http://scienceview.berkeley.edu/view/images/newview.jpg\" />"
371 ],
372 ],
372 "output_type": "pyout",
373 "output_type": "pyout",
373 "prompt_number": 6,
374 "prompt_number": 6,
374 "text": [
375 "text": [
375 "<IPython.core.display.Image at 0x10fb99b10>"
376 "<IPython.core.display.Image at 0x10fb99b10>"
376 ]
377 ]
377 }
378 }
378 ],
379 ],
379 "prompt_number": 6
380 "prompt_number": 6
380 },
381 },
381 {
382 {
382 "cell_type": "markdown",
383 "cell_type": "markdown",
383 "metadata": {},
384 "metadata": {},
384 "source": [
385 "source": [
385 "Of course, if you re-run this Notebook, the two images will be the same again."
386 "Of course, if you re-run this Notebook, the two images will be the same again."
386 ]
387 ]
387 },
388 },
388 {
389 {
389 "cell_type": "heading",
390 "cell_type": "heading",
390 "level": 2,
391 "level": 2,
391 "metadata": {},
392 "metadata": {},
392 "source": [
393 "source": [
393 "Video"
394 "Video"
394 ]
395 ]
395 },
396 },
396 {
397 {
397 "cell_type": "markdown",
398 "cell_type": "markdown",
398 "metadata": {},
399 "metadata": {},
399 "source": [
400 "source": [
400 "And more exotic objects can also be displayed, as long as their representation supports \n",
401 "More exotic objects can also be displayed, as long as their representation supports the IPython display protocol. For example, videos hosted externally on YouTube are easy to load (and writing a similar wrapper for other hosted content is trivial):"
401 "the IPython display protocol.\n",
402 "\n",
403 "For example, videos hosted externally on YouTube are easy to load (and writing a similar wrapper for other\n",
404 "hosted content is trivial):"
405 ]
402 ]
406 },
403 },
407 {
404 {
408 "cell_type": "code",
405 "cell_type": "code",
409 "collapsed": false,
406 "collapsed": false,
410 "input": [
407 "input": [
411 "from IPython.display import YouTubeVideo\n",
408 "from IPython.display import YouTubeVideo\n",
412 "# a talk about IPython at Sage Days at U. Washington, Seattle.\n",
409 "# a talk about IPython at Sage Days at U. Washington, Seattle.\n",
413 "# Video credit: William Stein.\n",
410 "# Video credit: William Stein.\n",
414 "YouTubeVideo('1j_HxD4iLn8')"
411 "YouTubeVideo('1j_HxD4iLn8')"
415 ],
412 ],
416 "language": "python",
413 "language": "python",
417 "metadata": {},
414 "metadata": {},
418 "outputs": [
415 "outputs": [
419 {
416 {
420 "html": [
417 "html": [
421 "\n",
418 "\n",
422 " <iframe\n",
419 " <iframe\n",
423 " width=\"400\"\n",
420 " width=\"400\"\n",
424 " height=\"300\"\n",
421 " height=\"300\"\n",
425 " src=\"http://www.youtube.com/embed/1j_HxD4iLn8\"\n",
422 " src=\"http://www.youtube.com/embed/1j_HxD4iLn8\"\n",
426 " frameborder=\"0\"\n",
423 " frameborder=\"0\"\n",
427 " allowfullscreen\n",
424 " allowfullscreen\n",
428 " ></iframe>\n",
425 " ></iframe>\n",
429 " "
426 " "
430 ],
427 ],
431 "output_type": "pyout",
428 "output_type": "pyout",
432 "prompt_number": 7,
429 "prompt_number": 7,
433 "text": [
430 "text": [
434 "<IPython.lib.display.YouTubeVideo at 0x10fba2190>"
431 "<IPython.lib.display.YouTubeVideo at 0x10fba2190>"
435 ]
432 ]
436 }
433 }
437 ],
434 ],
438 "prompt_number": 7
435 "prompt_number": 7
439 },
436 },
440 {
437 {
441 "cell_type": "markdown",
438 "cell_type": "markdown",
442 "metadata": {},
439 "metadata": {},
443 "source": [
440 "source": [
444 "Using the nascent video capabilities of modern browsers, you may also be able to display local\n",
441 "Using the nascent video capabilities of modern browsers, you may also be able to display local\n",
445 "videos. At the moment this doesn't work very well in all browsers, so it may or may not work for you;\n",
442 "videos. At the moment this doesn't work very well in all browsers, so it may or may not work for you;\n",
446 "we will continue testing this and looking for ways to make it more robust. \n",
443 "we will continue testing this and looking for ways to make it more robust. \n",
447 "\n",
444 "\n",
448 "The following cell loads a local file called `animation.m4v`, encodes the raw video as base64 for http\n",
445 "The following cell loads a local file called `animation.m4v`, encodes the raw video as base64 for http\n",
449 "transport, and uses the HTML5 video tag to load it. On Chrome 15 it works correctly, displaying a control\n",
446 "transport, and uses the HTML5 video tag to load it. On Chrome 15 it works correctly, displaying a control\n",
450 "bar at the bottom with a play/pause button and a location slider."
447 "bar at the bottom with a play/pause button and a location slider."
451 ]
448 ]
452 },
449 },
453 {
450 {
454 "cell_type": "code",
451 "cell_type": "code",
455 "collapsed": false,
452 "collapsed": false,
456 "input": [
453 "input": [
457 "from IPython.display import HTML\n",
454 "from IPython.display import HTML\n",
458 "video = open(\"animation.m4v\", \"rb\").read()\n",
455 "video = open(\"animation.m4v\", \"rb\").read()\n",
459 "video_encoded = video.encode(\"base64\")\n",
456 "video_encoded = video.encode(\"base64\")\n",
460 "video_tag = '<video controls alt=\"test\" src=\"data:video/x-m4v;base64,{0}\">'.format(video_encoded)\n",
457 "video_tag = '<video controls alt=\"test\" src=\"data:video/x-m4v;base64,{0}\">'.format(video_encoded)\n",
461 "HTML(data=video_tag)"
458 "HTML(data=video_tag)"
462 ],
459 ],
463 "language": "python",
460 "language": "python",
464 "metadata": {},
461 "metadata": {},
465 "outputs": [
462 "outputs": [
466 {
463 {
467 "html": [
464 "html": [
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465 "<video controls alt=\"test\" src=\"data:video/x-m4v;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAAAqiW1kYXQAAAKMBgX//4jcRem9\n",
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677 "\">"
674 "\">"
678 ],
675 ],
679 "output_type": "pyout",
676 "output_type": "pyout",
680 "prompt_number": 8,
677 "prompt_number": 8,
681 "text": [
678 "text": [
682 "<IPython.core.display.HTML at 0x10fba28d0>"
679 "<IPython.core.display.HTML at 0x10fba28d0>"
683 ]
680 ]
684 }
681 }
685 ],
682 ],
686 "prompt_number": 8
683 "prompt_number": 8
687 },
684 },
688 {
685 {
689 "cell_type": "heading",
686 "cell_type": "heading",
690 "level": 2,
687 "level": 2,
691 "metadata": {},
688 "metadata": {},
692 "source": [
689 "source": [
693 "HTML"
690 "HTML"
694 ]
691 ]
695 },
692 },
696 {
693 {
697 "cell_type": "markdown",
694 "cell_type": "markdown",
698 "metadata": {},
695 "metadata": {},
699 "source": [
696 "source": [
700 "Python objects can declare HTML representations that will be displayed in the Notebook. If you have some HTML you want to display, simply use the `HTML` class."
697 "Python objects can declare HTML representations that will be displayed in the Notebook. If you have some HTML you want to display, simply use the `HTML` class."
701 ]
698 ]
702 },
699 },
703 {
700 {
701 "cell_type": "code",
702 "collapsed": false,
703 "input": [
704 "from IPython.display import HTML"
705 ],
706 "language": "python",
707 "metadata": {},
708 "outputs": [],
709 "prompt_number": 3
710 },
711 {
712 "cell_type": "code",
713 "collapsed": false,
714 "input": [
715 "s = \"\"\"<table>\n",
716 "<tr>\n",
717 "<th>Header 1</th>\n",
718 "<th>Header 2</th>\n",
719 "</tr>\n",
720 "<tr>\n",
721 "<td>row 1, cell 1</td>\n",
722 "<td>row 1, cell 2</td>\n",
723 "</tr>\n",
724 "<tr>\n",
725 "<td>row 2, cell 1</td>\n",
726 "<td>row 2, cell 2</td>\n",
727 "</tr>\n",
728 "</table>\"\"\""
729 ],
730 "language": "python",
731 "metadata": {},
732 "outputs": [],
733 "prompt_number": 4
734 },
735 {
736 "cell_type": "code",
737 "collapsed": false,
738 "input": [
739 "h = HTML(s); h"
740 ],
741 "language": "python",
742 "metadata": {},
743 "outputs": [
744 {
745 "html": [
746 "<table>\n",
747 "<tr>\n",
748 "<th>Header 1</th>\n",
749 "<th>Header 2</th>\n",
750 "</tr>\n",
751 "<tr>\n",
752 "<td>row 1, cell 1</td>\n",
753 "<td>row 1, cell 2</td>\n",
754 "</tr>\n",
755 "<tr>\n",
756 "<td>row 2, cell 1</td>\n",
757 "<td>row 2, cell 2</td>\n",
758 "</tr>\n",
759 "</table>"
760 ],
761 "output_type": "pyout",
762 "prompt_number": 5,
763 "text": [
764 "<IPython.core.display.HTML at 0x1087a0c10>"
765 ]
766 }
767 ],
768 "prompt_number": 5
769 },
770 {
771 "cell_type": "markdown",
772 "metadata": {},
773 "source": [
774 "Pandas makes use of this capability to allow `DataFrames` to be represented as HTML tables."
775 ]
776 },
777 {
778 "cell_type": "code",
779 "collapsed": false,
780 "input": [
781 "import pandas"
782 ],
783 "language": "python",
784 "metadata": {},
785 "outputs": [],
786 "prompt_number": 6
787 },
788 {
789 "cell_type": "markdown",
790 "metadata": {},
791 "source": [
792 "By default, `DataFrames` will be represented as text; to enable HTML representations we need to set a print option:"
793 ]
794 },
795 {
796 "cell_type": "code",
797 "collapsed": false,
798 "input": [
799 "pandas.core.format.set_printoptions(notebook_repr_html=True)"
800 ],
801 "language": "python",
802 "metadata": {},
803 "outputs": [],
804 "prompt_number": 9
805 },
806 {
807 "cell_type": "markdown",
808 "metadata": {},
809 "source": [
810 "Here is a small amount of stock data for APPL:"
811 ]
812 },
813 {
814 "cell_type": "code",
815 "collapsed": false,
816 "input": [
817 "%%file data.csv\n",
818 "Date,Open,High,Low,Close,Volume,Adj Close\n",
819 "2012-06-01,569.16,590.00,548.50,584.00,14077000,581.50\n",
820 "2012-05-01,584.90,596.76,522.18,577.73,18827900,575.26\n",
821 "2012-04-02,601.83,644.00,555.00,583.98,28759100,581.48\n",
822 "2012-03-01,548.17,621.45,516.22,599.55,26486000,596.99\n",
823 "2012-02-01,458.41,547.61,453.98,542.44,22001000,540.12\n",
824 "2012-01-03,409.40,458.24,409.00,456.48,12949100,454.53"
825 ],
826 "language": "python",
827 "metadata": {},
828 "outputs": [
829 {
830 "output_type": "stream",
831 "stream": "stdout",
832 "text": [
833 "Writing data.csv\n"
834 ]
835 }
836 ],
837 "prompt_number": 11
838 },
839 {
840 "cell_type": "markdown",
841 "metadata": {},
842 "source": [
843 "Read this as into a `DataFrame`:"
844 ]
845 },
846 {
847 "cell_type": "code",
848 "collapsed": false,
849 "input": [
850 "df = pandas.read_csv('data.csv')"
851 ],
852 "language": "python",
853 "metadata": {},
854 "outputs": [],
855 "prompt_number": 12
856 },
857 {
858 "cell_type": "markdown",
859 "metadata": {},
860 "source": [
861 "And view the HTML representation:"
862 ]
863 },
864 {
865 "cell_type": "code",
866 "collapsed": false,
867 "input": [
868 "df"
869 ],
870 "language": "python",
871 "metadata": {},
872 "outputs": [
873 {
874 "html": [
875 "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
876 "<table border=\"1\">\n",
877 " <thead>\n",
878 " <tr>\n",
879 " <th></th>\n",
880 " <th>Date</th>\n",
881 " <th>Open</th>\n",
882 " <th>High</th>\n",
883 " <th>Low</th>\n",
884 " <th>Close</th>\n",
885 " <th>Volume</th>\n",
886 " <th>Adj Close</th>\n",
887 " </tr>\n",
888 " </thead>\n",
889 " <tbody>\n",
890 " <tr>\n",
891 " <td><strong>0</strong></td>\n",
892 " <td> 2012-06-01</td>\n",
893 " <td> 569.16</td>\n",
894 " <td> 590.00</td>\n",
895 " <td> 548.50</td>\n",
896 " <td> 584.00</td>\n",
897 " <td> 14077000</td>\n",
898 " <td> 581.50</td>\n",
899 " </tr>\n",
900 " <tr>\n",
901 " <td><strong>1</strong></td>\n",
902 " <td> 2012-05-01</td>\n",
903 " <td> 584.90</td>\n",
904 " <td> 596.76</td>\n",
905 " <td> 522.18</td>\n",
906 " <td> 577.73</td>\n",
907 " <td> 18827900</td>\n",
908 " <td> 575.26</td>\n",
909 " </tr>\n",
910 " <tr>\n",
911 " <td><strong>2</strong></td>\n",
912 " <td> 2012-04-02</td>\n",
913 " <td> 601.83</td>\n",
914 " <td> 644.00</td>\n",
915 " <td> 555.00</td>\n",
916 " <td> 583.98</td>\n",
917 " <td> 28759100</td>\n",
918 " <td> 581.48</td>\n",
919 " </tr>\n",
920 " <tr>\n",
921 " <td><strong>3</strong></td>\n",
922 " <td> 2012-03-01</td>\n",
923 " <td> 548.17</td>\n",
924 " <td> 621.45</td>\n",
925 " <td> 516.22</td>\n",
926 " <td> 599.55</td>\n",
927 " <td> 26486000</td>\n",
928 " <td> 596.99</td>\n",
929 " </tr>\n",
930 " <tr>\n",
931 " <td><strong>4</strong></td>\n",
932 " <td> 2012-02-01</td>\n",
933 " <td> 458.41</td>\n",
934 " <td> 547.61</td>\n",
935 " <td> 453.98</td>\n",
936 " <td> 542.44</td>\n",
937 " <td> 22001000</td>\n",
938 " <td> 540.12</td>\n",
939 " </tr>\n",
940 " <tr>\n",
941 " <td><strong>5</strong></td>\n",
942 " <td> 2012-01-03</td>\n",
943 " <td> 409.40</td>\n",
944 " <td> 458.24</td>\n",
945 " <td> 409.00</td>\n",
946 " <td> 456.48</td>\n",
947 " <td> 12949100</td>\n",
948 " <td> 454.53</td>\n",
949 " </tr>\n",
950 " </tbody>\n",
951 "</table>\n",
952 "</div>"
953 ],
954 "output_type": "pyout",
955 "prompt_number": 14,
956 "text": [
957 " Date Open High Low Close Volume Adj Close\n",
958 "0 2012-06-01 569.16 590.00 548.50 584.00 14077000 581.50\n",
959 "1 2012-05-01 584.90 596.76 522.18 577.73 18827900 575.26\n",
960 "2 2012-04-02 601.83 644.00 555.00 583.98 28759100 581.48\n",
961 "3 2012-03-01 548.17 621.45 516.22 599.55 26486000 596.99\n",
962 "4 2012-02-01 458.41 547.61 453.98 542.44 22001000 540.12\n",
963 "5 2012-01-03 409.40 458.24 409.00 456.48 12949100 454.53"
964 ]
965 }
966 ],
967 "prompt_number": 14
968 },
969 {
970 "cell_type": "heading",
971 "level": 2,
972 "metadata": {},
973 "source": [
974 "External sites"
975 ]
976 },
977 {
704 "cell_type": "markdown",
978 "cell_type": "markdown",
705 "metadata": {},
979 "metadata": {},
706 "source": [
980 "source": [
707 "### External sites\n",
708 "\n",
709 "You can even embed an entire page from another site in an iframe; for example this is today's Wikipedia\n",
981 "You can even embed an entire page from another site in an iframe; for example this is today's Wikipedia\n",
710 "page for mobile users:"
982 "page for mobile users:"
711 ]
983 ]
712 },
984 },
713 {
985 {
714 "cell_type": "code",
986 "cell_type": "code",
715 "collapsed": false,
987 "collapsed": false,
716 "input": [
988 "input": [
717 "HTML('<iframe src=http://en.mobile.wikipedia.org/?useformat=mobile width=700 height=350></iframe>')"
989 "HTML('<iframe src=http://en.mobile.wikipedia.org/?useformat=mobile width=700 height=350></iframe>')"
718 ],
990 ],
719 "language": "python",
991 "language": "python",
720 "metadata": {},
992 "metadata": {},
721 "outputs": [
993 "outputs": [
722 {
994 {
723 "html": [
995 "html": [
724 "<iframe src=http://en.mobile.wikipedia.org/?useformat=mobile width=700 height=350></iframe>"
996 "<iframe src=http://en.mobile.wikipedia.org/?useformat=mobile width=700 height=350></iframe>"
725 ],
997 ],
726 "output_type": "pyout",
998 "output_type": "pyout",
727 "prompt_number": 9,
999 "prompt_number": 9,
728 "text": [
1000 "text": [
729 "<IPython.core.display.HTML at 0x1094900d0>"
1001 "<IPython.core.display.HTML at 0x1094900d0>"
730 ]
1002 ]
731 }
1003 }
732 ],
1004 ],
733 "prompt_number": 9
1005 "prompt_number": 9
734 },
1006 },
735 {
1007 {
736 "cell_type": "heading",
1008 "cell_type": "heading",
737 "level": 2,
1009 "level": 2,
738 "metadata": {},
1010 "metadata": {},
739 "source": [
1011 "source": [
740 "LaTeX"
1012 "LaTeX"
741 ]
1013 ]
742 },
1014 },
743 {
1015 {
744 "cell_type": "markdown",
1016 "cell_type": "markdown",
745 "metadata": {},
1017 "metadata": {},
746 "source": [
1018 "source": [
747 "And we also support the display of mathematical expressions typeset in LaTeX, which is rendered\n",
1019 "And we also support the display of mathematical expressions typeset in LaTeX, which is rendered\n",
748 "in the browser thanks to the [MathJax library](http://mathjax.org)."
1020 "in the browser thanks to the [MathJax library](http://mathjax.org)."
749 ]
1021 ]
750 },
1022 },
751 {
1023 {
752 "cell_type": "code",
1024 "cell_type": "code",
753 "collapsed": false,
1025 "collapsed": false,
754 "input": [
1026 "input": [
755 "from IPython.display import Math\n",
1027 "from IPython.display import Math\n",
756 "Math(r'F(k) = \\int_{-\\infty}^{\\infty} f(x) e^{2\\pi i k} dx')"
1028 "Math(r'F(k) = \\int_{-\\infty}^{\\infty} f(x) e^{2\\pi i k} dx')"
757 ],
1029 ],
758 "language": "python",
1030 "language": "python",
759 "metadata": {},
1031 "metadata": {},
760 "outputs": [
1032 "outputs": [
761 {
1033 {
762 "latex": [
1034 "latex": [
763 "$$F(k) = \\int_{-\\infty}^{\\infty} f(x) e^{2\\pi i k} dx$$"
1035 "$$F(k) = \\int_{-\\infty}^{\\infty} f(x) e^{2\\pi i k} dx$$"
764 ],
1036 ],
765 "output_type": "pyout",
1037 "output_type": "pyout",
766 "prompt_number": 10,
1038 "prompt_number": 10,
767 "text": [
1039 "text": [
768 "<IPython.core.display.Math at 0x10fba26d0>"
1040 "<IPython.core.display.Math at 0x10fba26d0>"
769 ]
1041 ]
770 }
1042 }
771 ],
1043 ],
772 "prompt_number": 10
1044 "prompt_number": 10
773 },
1045 },
774 {
1046 {
775 "cell_type": "markdown",
1047 "cell_type": "markdown",
776 "metadata": {},
1048 "metadata": {},
777 "source": [
1049 "source": [
778 "With the `Latex` class, you have to include the delimiters yourself. This allows you to use other LaTeX modes such as `eqnarray`:"
1050 "With the `Latex` class, you have to include the delimiters yourself. This allows you to use other LaTeX modes such as `eqnarray`:"
779 ]
1051 ]
780 },
1052 },
781 {
1053 {
782 "cell_type": "code",
1054 "cell_type": "code",
783 "collapsed": false,
1055 "collapsed": false,
784 "input": [
1056 "input": [
785 "from IPython.display import Latex\n",
1057 "from IPython.display import Latex\n",
786 "Latex(r\"\"\"\\begin{eqnarray}\n",
1058 "Latex(r\"\"\"\\begin{eqnarray}\n",
787 "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
1059 "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
788 "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
1060 "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
789 "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
1061 "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
790 "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n",
1062 "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n",
791 "\\end{eqnarray}\"\"\")"
1063 "\\end{eqnarray}\"\"\")"
792 ],
1064 ],
793 "language": "python",
1065 "language": "python",
794 "metadata": {},
1066 "metadata": {},
795 "outputs": [
1067 "outputs": [
796 {
1068 {
797 "latex": [
1069 "latex": [
798 "\\begin{eqnarray}\n",
1070 "\\begin{eqnarray}\n",
799 "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
1071 "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
800 "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
1072 "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
801 "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
1073 "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
802 "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n",
1074 "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n",
803 "\\end{eqnarray}"
1075 "\\end{eqnarray}"
804 ],
1076 ],
805 "output_type": "pyout",
1077 "output_type": "pyout",
806 "prompt_number": 11,
1078 "prompt_number": 11,
807 "text": [
1079 "text": [
808 "<IPython.core.display.Latex at 0x10fba2c10>"
1080 "<IPython.core.display.Latex at 0x10fba2c10>"
809 ]
1081 ]
810 }
1082 }
811 ],
1083 ],
812 "prompt_number": 11
1084 "prompt_number": 11
813 },
1085 },
814 {
1086 {
815 "cell_type": "markdown",
1087 "cell_type": "markdown",
816 "metadata": {},
1088 "metadata": {},
817 "source": [
1089 "source": [
818 "Or you can enter latex directly with the `%%latex` cell magic:"
1090 "Or you can enter latex directly with the `%%latex` cell magic:"
819 ]
1091 ]
820 },
1092 },
821 {
1093 {
822 "cell_type": "code",
1094 "cell_type": "code",
823 "collapsed": false,
1095 "collapsed": false,
824 "input": [
1096 "input": [
825 "%%latex\n",
1097 "%%latex\n",
826 "\\begin{aligned}\n",
1098 "\\begin{aligned}\n",
827 "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
1099 "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
828 "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
1100 "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
829 "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
1101 "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
830 "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n",
1102 "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n",
831 "\\end{aligned}"
1103 "\\end{aligned}"
832 ],
1104 ],
833 "language": "python",
1105 "language": "python",
834 "metadata": {},
1106 "metadata": {},
835 "outputs": [
1107 "outputs": [
836 {
1108 {
837 "latex": [
1109 "latex": [
838 "\\begin{aligned}\n",
1110 "\\begin{aligned}\n",
839 "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
1111 "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
840 "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
1112 "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
841 "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
1113 "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
842 "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n",
1114 "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n",
843 "\\end{aligned}"
1115 "\\end{aligned}"
844 ],
1116 ],
845 "output_type": "display_data",
1117 "output_type": "display_data",
846 "text": [
1118 "text": [
847 "<IPython.core.display.Latex at 0x10a617c90>"
1119 "<IPython.core.display.Latex at 0x10a617c90>"
848 ]
1120 ]
849 }
1121 }
850 ],
1122 ],
851 "prompt_number": 12
1123 "prompt_number": 12
852 }
1124 }
853 ],
1125 ],
854 "metadata": {}
1126 "metadata": {}
855 }
1127 }
856 ]
1128 ]
857 }
1129 }
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