|
@@
-1,633
+1,660
b''
|
|
1
|
A brief tour of the IPython notebook
|
|
1
|
A brief tour of the IPython notebook
|
|
2
|
====================================
|
|
2
|
====================================
|
|
3
|
|
|
3
|
|
|
4
|
This document will give you a brief tour of the capabilities of the
|
|
4
|
This document will give you a brief tour of the capabilities of the
|
|
5
|
IPython notebook.
|
|
5
|
IPython notebook.
|
|
6
|
You can view its contents by scrolling around, or execute each cell by
|
|
6
|
You can view its contents by scrolling around, or execute each cell by
|
|
7
|
typing ``Shift-Enter``. After you conclude this brief high-level tour,
|
|
7
|
typing ``Shift-Enter``. After you conclude this brief high-level tour,
|
|
8
|
you should read the accompanying notebook titled
|
|
8
|
you should read the accompanying notebook titled
|
|
9
|
``01_notebook_introduction``, which takes a more step-by-step approach
|
|
9
|
``01_notebook_introduction``, which takes a more step-by-step approach
|
|
10
|
to the features of the system.
|
|
10
|
to the features of the system.
|
|
11
|
|
|
11
|
|
|
12
|
The rest of the notebooks in this directory illustrate various other
|
|
12
|
The rest of the notebooks in this directory illustrate various other
|
|
13
|
aspects and capabilities of the IPython notebook; some of them may
|
|
13
|
aspects and capabilities of the IPython notebook; some of them may
|
|
14
|
require additional libraries to be executed.
|
|
14
|
require additional libraries to be executed.
|
|
15
|
|
|
15
|
|
|
16
|
**NOTE:** This notebook *must* be run from its own directory, so you
|
|
16
|
**NOTE:** This notebook *must* be run from its own directory, so you
|
|
17
|
must ``cd`` to this directory and then start the notebook, but do *not*
|
|
17
|
must ``cd`` to this directory and then start the notebook, but do *not*
|
|
18
|
use the ``--notebook-dir`` option to run it from another location.
|
|
18
|
use the ``--notebook-dir`` option to run it from another location.
|
|
19
|
|
|
19
|
|
|
20
|
The first thing you need to know is that you are still controlling the
|
|
20
|
The first thing you need to know is that you are still controlling the
|
|
21
|
same old IPython you're used to, so things like shell aliases and magic
|
|
21
|
same old IPython you're used to, so things like shell aliases and magic
|
|
22
|
commands still work:
|
|
22
|
commands still work:
|
|
23
|
|
|
23
|
|
|
24
|
In[1]:
|
|
24
|
In[1]:
|
|
25
|
|
|
25
|
|
|
26
|
.. code:: python
|
|
26
|
.. code:: python
|
|
27
|
|
|
27
|
|
|
28
|
pwd
|
|
28
|
pwd
|
|
29
|
|
|
29
|
|
|
30
|
Out[1]:
|
|
30
|
Out[1]:
|
|
31
|
.. parsed-literal::
|
|
31
|
.. parsed-literal::
|
|
32
|
|
|
32
|
|
|
33
|
u'/Users/minrk/dev/ip/mine/docs/examples/notebooks'
|
|
33
|
u'/Users/minrk/dev/ip/mine/docs/examples/notebooks'
|
|
34
|
|
|
34
|
|
|
35
|
|
|
35
|
|
|
36
|
In[2]:
|
|
36
|
In[2]:
|
|
37
|
|
|
37
|
|
|
38
|
.. code:: python
|
|
38
|
.. code:: python
|
|
39
|
|
|
39
|
|
|
40
|
ls
|
|
40
|
ls
|
|
41
|
|
|
41
|
|
|
42
|
|
|
42
|
|
|
43
|
.. parsed-literal::
|
|
43
|
.. parsed-literal::
|
|
44
|
|
|
44
|
|
|
45
|
00_notebook_tour.ipynb callbacks.ipynb python-logo.svg
|
|
45
|
00_notebook_tour.ipynb callbacks.ipynb python-logo.svg
|
|
46
|
01_notebook_introduction.ipynb cython_extension.ipynb rmagic_extension.ipynb
|
|
46
|
01_notebook_introduction.ipynb cython_extension.ipynb rmagic_extension.ipynb
|
|
47
|
Animations_and_Progress.ipynb display_protocol.ipynb sympy.ipynb
|
|
47
|
Animations_and_Progress.ipynb display_protocol.ipynb sympy.ipynb
|
|
48
|
Capturing Output.ipynb formatting.ipynb sympy_quantum_computing.ipynb
|
|
48
|
Capturing Output.ipynb formatting.ipynb sympy_quantum_computing.ipynb
|
|
49
|
Script Magics.ipynb octavemagic_extension.ipynb trapezoid_rule.ipynb
|
|
49
|
Script Magics.ipynb octavemagic_extension.ipynb trapezoid_rule.ipynb
|
|
50
|
animation.m4v progbar.ipynb
|
|
50
|
animation.m4v progbar.ipynb
|
|
51
|
|
|
51
|
|
|
52
|
In[3]:
|
|
52
|
In[3]:
|
|
53
|
|
|
53
|
|
|
54
|
.. code:: python
|
|
54
|
.. code:: python
|
|
55
|
|
|
55
|
|
|
56
|
message = 'The IPython notebook is great!'
|
|
56
|
message = 'The IPython notebook is great!'
|
|
57
|
# note: the echo command does not run on Windows, it's a unix command.
|
|
57
|
# note: the echo command does not run on Windows, it's a unix command.
|
|
58
|
!echo $message
|
|
58
|
!echo $message
|
|
59
|
|
|
59
|
|
|
60
|
|
|
60
|
|
|
61
|
.. parsed-literal::
|
|
61
|
.. parsed-literal::
|
|
62
|
|
|
62
|
|
|
63
|
The IPython notebook is great!
|
|
63
|
The IPython notebook is great!
|
|
64
|
|
|
64
|
|
|
65
|
Plots with matplotlib
|
|
65
|
Plots with matplotlib
|
|
66
|
---------------------
|
|
66
|
---------------------
|
|
67
|
|
|
67
|
|
|
68
|
|
|
|
|
|
69
|
IPython adds an 'inline' matplotlib backend, which embeds any matplotlib
|
|
68
|
IPython adds an 'inline' matplotlib backend, which embeds any matplotlib
|
|
70
|
figures into the notebook.
|
|
69
|
figures into the notebook.
|
|
71
|
|
|
70
|
|
|
72
|
In[4]:
|
|
71
|
In[4]:
|
|
73
|
|
|
72
|
|
|
74
|
.. code:: python
|
|
73
|
.. code:: python
|
|
75
|
|
|
74
|
|
|
76
|
%pylab inline
|
|
75
|
%pylab inline
|
|
77
|
|
|
76
|
|
|
78
|
|
|
77
|
|
|
79
|
.. parsed-literal::
|
|
78
|
.. parsed-literal::
|
|
80
|
|
|
79
|
|
|
81
|
|
|
80
|
|
|
82
|
Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].
|
|
81
|
Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].
|
|
83
|
For more information, type 'help(pylab)'.
|
|
82
|
For more information, type 'help(pylab)'.
|
|
84
|
|
|
83
|
|
|
85
|
In[5]:
|
|
84
|
In[5]:
|
|
86
|
|
|
85
|
|
|
87
|
.. code:: python
|
|
86
|
.. code:: python
|
|
88
|
|
|
87
|
|
|
89
|
x = linspace(0, 3*pi, 500)
|
|
88
|
x = linspace(0, 3*pi, 500)
|
|
90
|
plot(x, sin(x**2))
|
|
89
|
plot(x, sin(x**2))
|
|
91
|
title('A simple chirp');
|
|
90
|
title('A simple chirp');
|
|
92
|
|
|
91
|
|
|
93
|
.. image:: _fig_07.png
|
|
92
|
.. image:: _fig_07.png
|
|
94
|
|
|
93
|
|
|
95
|
You can paste blocks of input with prompt markers, such as those from
|
|
94
|
You can paste blocks of input with prompt markers, such as those from
|
|
96
|
`the official Python
|
|
95
|
`the official Python
|
|
97
|
tutorial <http://docs.python.org/tutorial/interpreter.html#interactive-mode>`_
|
|
96
|
tutorial <http://docs.python.org/tutorial/interpreter.html#interactive-mode>`_
|
|
98
|
|
|
97
|
|
|
99
|
In[6]:
|
|
98
|
In[6]:
|
|
100
|
|
|
99
|
|
|
101
|
.. code:: python
|
|
100
|
.. code:: python
|
|
102
|
|
|
101
|
|
|
103
|
>>> the_world_is_flat = 1
|
|
102
|
>>> the_world_is_flat = 1
|
|
104
|
>>> if the_world_is_flat:
|
|
103
|
>>> if the_world_is_flat:
|
|
105
|
... print "Be careful not to fall off!"
|
|
104
|
... print "Be careful not to fall off!"
|
|
106
|
|
|
105
|
|
|
107
|
|
|
106
|
|
|
108
|
.. parsed-literal::
|
|
107
|
.. parsed-literal::
|
|
109
|
|
|
108
|
|
|
110
|
Be careful not to fall off!
|
|
109
|
Be careful not to fall off!
|
|
111
|
|
|
110
|
|
|
112
|
Errors are shown in informative ways:
|
|
111
|
Errors are shown in informative ways:
|
|
113
|
|
|
112
|
|
|
114
|
In[7]:
|
|
113
|
In[7]:
|
|
115
|
|
|
114
|
|
|
116
|
.. code:: python
|
|
115
|
.. code:: python
|
|
117
|
|
|
116
|
|
|
118
|
%run non_existent_file
|
|
117
|
%run non_existent_file
|
|
119
|
|
|
118
|
|
|
120
|
|
|
119
|
|
|
121
|
.. parsed-literal::
|
|
120
|
.. parsed-literal::
|
|
122
|
|
|
121
|
|
|
123
|
ERROR: File `u'non_existent_file.py'` not found.
|
|
122
|
ERROR: File `u'non_existent_file.py'` not found.
|
|
124
|
In[8]:
|
|
123
|
In[8]:
|
|
125
|
|
|
124
|
|
|
126
|
.. code:: python
|
|
125
|
.. code:: python
|
|
127
|
|
|
126
|
|
|
128
|
x = 1
|
|
127
|
x = 1
|
|
129
|
y = 4
|
|
128
|
y = 4
|
|
130
|
z = y/(1-x)
|
|
129
|
z = y/(1-x)
|
|
131
|
|
|
130
|
|
|
132
|
::
|
|
131
|
::
|
|
133
|
|
|
132
|
|
|
134
|
---------------------------------------------------------------------------
|
|
133
|
---------------------------------------------------------------------------
|
|
135
|
ZeroDivisionError Traceback (most recent call last)
|
|
134
|
ZeroDivisionError Traceback (most recent call last)
|
|
136
|
<ipython-input-8-dc39888fd1d2> in <module>()
|
|
135
|
<ipython-input-8-dc39888fd1d2> in <module>()
|
|
137
|
1 x = 1
|
|
136
|
1 x = 1
|
|
138
|
2 y = 4
|
|
137
|
2 y = 4
|
|
139
|
----> 3 z = y/(1-x)
|
|
138
|
----> 3 z = y/(1-x)
|
|
140
|
|
|
139
|
|
|
141
|
ZeroDivisionError: integer division or modulo by zero
|
|
140
|
ZeroDivisionError: integer division or modulo by zero
|
|
142
|
When IPython needs to display additional information (such as providing
|
|
141
|
When IPython needs to display additional information (such as providing
|
|
143
|
details on an object via ``x?`` it will automatically invoke a pager at
|
|
142
|
details on an object via ``x?`` it will automatically invoke a pager at
|
|
144
|
the bottom of the screen:
|
|
143
|
the bottom of the screen:
|
|
145
|
|
|
144
|
|
|
146
|
In[18]:
|
|
145
|
In[18]:
|
|
147
|
|
|
146
|
|
|
148
|
.. code:: python
|
|
147
|
.. code:: python
|
|
149
|
|
|
148
|
|
|
150
|
magic
|
|
149
|
magic
|
|
151
|
|
|
150
|
|
|
152
|
Non-blocking output of kernel
|
|
151
|
Non-blocking output of kernel
|
|
153
|
-----------------------------
|
|
152
|
-----------------------------
|
|
154
|
|
|
153
|
|
|
155
|
If you execute the next cell, you will see the output arriving as it is
|
|
154
|
If you execute the next cell, you will see the output arriving as it is
|
|
156
|
generated, not all at the end.
|
|
155
|
generated, not all at the end.
|
|
157
|
|
|
156
|
|
|
158
|
In[19]:
|
|
157
|
In[19]:
|
|
159
|
|
|
158
|
|
|
160
|
.. code:: python
|
|
159
|
.. code:: python
|
|
161
|
|
|
160
|
|
|
162
|
import time, sys
|
|
161
|
import time, sys
|
|
163
|
for i in range(8):
|
|
162
|
for i in range(8):
|
|
164
|
print i,
|
|
163
|
print i,
|
|
165
|
time.sleep(0.5)
|
|
164
|
time.sleep(0.5)
|
|
166
|
|
|
165
|
|
|
167
|
|
|
166
|
|
|
168
|
.. parsed-literal::
|
|
167
|
.. parsed-literal::
|
|
169
|
|
|
168
|
|
|
170
|
0 1 2 3 4 5 6 7
|
|
169
|
0 1 2 3 4 5 6 7
|
|
|
|
|
170
|
|
|
171
|
Clean crash and restart
|
|
171
|
Clean crash and restart
|
|
172
|
-----------------------
|
|
172
|
-----------------------
|
|
173
|
|
|
173
|
|
|
174
|
We call the low-level system libc.time routine with the wrong argument
|
|
174
|
We call the low-level system libc.time routine with the wrong argument
|
|
175
|
via ctypes to segfault the Python interpreter:
|
|
175
|
via ctypes to segfault the Python interpreter:
|
|
176
|
|
|
176
|
|
|
177
|
In[*]:
|
|
177
|
In[*]:
|
|
178
|
|
|
178
|
|
|
179
|
.. code:: python
|
|
179
|
.. code:: python
|
|
180
|
|
|
180
|
|
|
181
|
import sys
|
|
181
|
import sys
|
|
182
|
from ctypes import CDLL
|
|
182
|
from ctypes import CDLL
|
|
183
|
# This will crash a Linux or Mac system; equivalent calls can be made on Windows
|
|
183
|
# This will crash a Linux or Mac system; equivalent calls can be made on Windows
|
|
184
|
dll = 'dylib' if sys.platform == 'darwin' else '.so.6'
|
|
184
|
dll = 'dylib' if sys.platform == 'darwin' else '.so.6'
|
|
185
|
libc = CDLL("libc.%s" % dll)
|
|
185
|
libc = CDLL("libc.%s" % dll)
|
|
186
|
libc.time(-1) # BOOM!!
|
|
186
|
libc.time(-1) # BOOM!!
|
|
187
|
|
|
187
|
|
|
188
|
Markdown cells can contain formatted text and code
|
|
188
|
Markdown cells can contain formatted text and code
|
|
189
|
--------------------------------------------------
|
|
189
|
--------------------------------------------------
|
|
190
|
|
|
190
|
|
|
191
|
You can *italicize*, **boldface**
|
|
191
|
You can *italicize*, **boldface**
|
|
192
|
|
|
192
|
|
|
193
|
- build
|
|
193
|
- build
|
|
194
|
- lists
|
|
194
|
- lists
|
|
195
|
|
|
195
|
|
|
196
|
and embed code meant for illustration instead of execution in Python:
|
|
196
|
and embed code meant for illustration instead of execution in Python:
|
|
197
|
|
|
197
|
|
|
198
|
::
|
|
198
|
::
|
|
199
|
|
|
199
|
|
|
200
|
def f(x):
|
|
200
|
def f(x):
|
|
201
|
"""a docstring"""
|
|
201
|
"""a docstring"""
|
|
202
|
return x**2
|
|
202
|
return x**2
|
|
203
|
|
|
203
|
|
|
204
|
or other languages:
|
|
204
|
or other languages:
|
|
205
|
|
|
205
|
|
|
206
|
::
|
|
206
|
::
|
|
207
|
|
|
207
|
|
|
208
|
if (i=0; i<n; i++) {
|
|
208
|
if (i=0; i<n; i++) {
|
|
209
|
printf("hello %d\n", i);
|
|
209
|
printf("hello %d\n", i);
|
|
210
|
x += 4;
|
|
210
|
x += 4;
|
|
211
|
}
|
|
211
|
}
|
|
212
|
|
|
212
|
|
|
213
|
|
|
213
|
|
|
214
|
Courtesy of MathJax, you can include mathematical expressions both
|
|
214
|
Courtesy of MathJax, you can include mathematical expressions both
|
|
215
|
inline: :math:`e^{i\pi} + 1 = 0` and displayed:
|
|
215
|
inline: :math:`e^{i\pi} + 1 = 0` and displayed:
|
|
216
|
|
|
216
|
|
|
217
|
.. math:: e^x=\sum_{i=0}^\infty \frac{1}{i!}x^i
|
|
217
|
.. math:: e^x=\sum_{i=0}^\infty \frac{1}{i!}x^i
|
|
218
|
|
|
218
|
|
|
219
|
|
|
219
|
|
|
220
|
|
|
220
|
|
|
221
|
Rich displays: include anyting a browser can show
|
|
221
|
Rich displays: include anyting a browser can show
|
|
222
|
-------------------------------------------------
|
|
222
|
-------------------------------------------------
|
|
223
|
|
|
223
|
|
|
224
|
Note that we have an actual protocol for this, see the
|
|
224
|
Note that we have an actual protocol for this, see the
|
|
225
|
``display_protocol`` notebook for further details.
|
|
225
|
``display_protocol`` notebook for further details.
|
|
226
|
|
|
226
|
|
|
227
|
Images
|
|
227
|
Images
|
|
228
|
~~~~~~
|
|
228
|
~~~~~~
|
|
229
|
|
|
229
|
|
|
230
|
|
|
230
|
|
|
231
|
In[1]:
|
|
231
|
In[1]:
|
|
232
|
|
|
232
|
|
|
233
|
.. code:: python
|
|
233
|
.. code:: python
|
|
234
|
|
|
234
|
|
|
235
|
from IPython.display import Image
|
|
235
|
from IPython.display import Image
|
|
236
|
Image(filename='../../source/_static/logo.png')
|
|
236
|
Image(filename='../../source/_static/logo.png')
|
|
237
|
|
|
237
|
|
|
238
|
Out[1]:
|
|
238
|
Out[1]:
|
|
239
|
.. image:: _fig_22.png
|
|
239
|
.. image:: _fig_22.png
|
|
240
|
|
|
240
|
|
|
241
|
|
|
241
|
|
|
242
|
An image can also be displayed from raw data or a url
|
|
242
|
An image can also be displayed from raw data or a url
|
|
243
|
|
|
243
|
|
|
244
|
In[2]:
|
|
244
|
In[2]:
|
|
245
|
|
|
245
|
|
|
246
|
.. code:: python
|
|
246
|
.. code:: python
|
|
247
|
|
|
247
|
|
|
248
|
Image(url='http://python.org/images/python-logo.gif')
|
|
248
|
Image(url='http://python.org/images/python-logo.gif')
|
|
249
|
|
|
249
|
|
|
250
|
Out[2]:
|
|
250
|
Out[2]:
|
|
|
|
|
251
|
.. parsed-literal::
|
|
|
|
|
252
|
|
|
|
|
|
253
|
<IPython.core.display.Image at 0x1060e7410>
|
|
|
|
|
254
|
|
|
251
|
|
|
255
|
|
|
252
|
SVG images are also supported out of the box (since modern browsers do a
|
|
256
|
SVG images are also supported out of the box (since modern browsers do a
|
|
253
|
good job of rendering them):
|
|
257
|
good job of rendering them):
|
|
254
|
|
|
258
|
|
|
255
|
In[3]:
|
|
259
|
In[3]:
|
|
256
|
|
|
260
|
|
|
257
|
.. code:: python
|
|
261
|
.. code:: python
|
|
258
|
|
|
262
|
|
|
259
|
from IPython.display import SVG
|
|
263
|
from IPython.display import SVG
|
|
260
|
SVG(filename='python-logo.svg')
|
|
264
|
SVG(filename='python-logo.svg')
|
|
261
|
|
|
265
|
|
|
262
|
Out[3]:
|
|
266
|
Out[3]:
|
|
263
|
.. image:: _fig_26.svg
|
|
267
|
.. image:: _fig_26.svg
|
|
264
|
|
|
268
|
|
|
265
|
|
|
269
|
|
|
266
|
Embedded vs Non-embedded Images
|
|
270
|
Embedded vs Non-embedded Images
|
|
267
|
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
|
|
271
|
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
|
|
268
|
|
|
272
|
|
|
269
|
|
|
273
|
|
|
270
|
As of IPython 0.13, images are embedded by default for compatibility
|
|
274
|
As of IPython 0.13, images are embedded by default for compatibility
|
|
271
|
with QtConsole, and the ability to still be displayed offline.
|
|
275
|
with QtConsole, and the ability to still be displayed offline.
|
|
272
|
|
|
276
|
|
|
273
|
Let's look at the differences:
|
|
277
|
Let's look at the differences:
|
|
274
|
|
|
278
|
|
|
275
|
In[4]:
|
|
279
|
In[4]:
|
|
276
|
|
|
280
|
|
|
277
|
.. code:: python
|
|
281
|
.. code:: python
|
|
278
|
|
|
282
|
|
|
279
|
# by default Image data are embedded
|
|
283
|
# by default Image data are embedded
|
|
280
|
Embed = Image( 'http://scienceview.berkeley.edu/view/images/newview.jpg')
|
|
284
|
Embed = Image( 'http://scienceview.berkeley.edu/view/images/newview.jpg')
|
|
281
|
|
|
285
|
|
|
282
|
# if kwarg `url` is given, the embedding is assumed to be false
|
|
286
|
# if kwarg `url` is given, the embedding is assumed to be false
|
|
283
|
SoftLinked = Image(url='http://scienceview.berkeley.edu/view/images/newview.jpg')
|
|
287
|
SoftLinked = Image(url='http://scienceview.berkeley.edu/view/images/newview.jpg')
|
|
284
|
|
|
288
|
|
|
285
|
# In each case, embed can be specified explicitly with the `embed` kwarg
|
|
289
|
# In each case, embed can be specified explicitly with the `embed` kwarg
|
|
286
|
# ForceEmbed = Image(url='http://scienceview.berkeley.edu/view/images/newview.jpg', embed=True)
|
|
290
|
# ForceEmbed = Image(url='http://scienceview.berkeley.edu/view/images/newview.jpg', embed=True)
|
|
287
|
|
|
291
|
|
|
288
|
Today's image from a webcam at Berkeley, (at the time I created this
|
|
292
|
Today's image from a webcam at Berkeley, (at the time I created this
|
|
289
|
notebook). This should also work in the Qtconsole. Drawback is that the
|
|
293
|
notebook). This should also work in the Qtconsole. Drawback is that the
|
|
290
|
saved notebook will be larger, but the image will still be present
|
|
294
|
saved notebook will be larger, but the image will still be present
|
|
291
|
offline.
|
|
295
|
offline.
|
|
292
|
|
|
296
|
|
|
293
|
In[5]:
|
|
297
|
In[5]:
|
|
294
|
|
|
298
|
|
|
295
|
.. code:: python
|
|
299
|
.. code:: python
|
|
296
|
|
|
300
|
|
|
297
|
Embed
|
|
301
|
Embed
|
|
298
|
|
|
302
|
|
|
299
|
Out[5]:
|
|
303
|
Out[5]:
|
|
300
|
..jpg image::
|
|
304
|
..jpg image::
|
|
301
|
|
|
305
|
|
|
302
|
|
|
306
|
|
|
303
|
Today's image from same webcam at Berkeley, (refreshed every minutes, if
|
|
307
|
Today's image from same webcam at Berkeley, (refreshed every minutes, if
|
|
304
|
you reload the notebook), visible only with an active internet
|
|
308
|
you reload the notebook), visible only with an active internet
|
|
305
|
connexion, that should be different from the previous one. This will not
|
|
309
|
connexion, that should be different from the previous one. This will not
|
|
306
|
work on Qtconsole. Notebook saved with this kind of image will be
|
|
310
|
work on Qtconsole. Notebook saved with this kind of image will be
|
|
307
|
lighter and always reflect the current version of the source, but the
|
|
311
|
lighter and always reflect the current version of the source, but the
|
|
308
|
image won't display offline.
|
|
312
|
image won't display offline.
|
|
309
|
|
|
313
|
|
|
310
|
In[6]:
|
|
314
|
In[6]:
|
|
311
|
|
|
315
|
|
|
312
|
.. code:: python
|
|
316
|
.. code:: python
|
|
313
|
|
|
317
|
|
|
314
|
SoftLinked
|
|
318
|
SoftLinked
|
|
315
|
|
|
319
|
|
|
316
|
Out[6]:
|
|
320
|
Out[6]:
|
|
|
|
|
321
|
.. parsed-literal::
|
|
|
|
|
322
|
|
|
|
|
|
323
|
<IPython.core.display.Image at 0x10fb99b10>
|
|
|
|
|
324
|
|
|
317
|
|
|
325
|
|
|
318
|
Of course, if you re-run the all notebook, the two images will be the
|
|
326
|
Of course, if you re-run the all notebook, the two images will be the
|
|
319
|
same again.
|
|
327
|
same again.
|
|
320
|
|
|
328
|
|
|
321
|
Video
|
|
329
|
Video
|
|
322
|
~~~~~
|
|
330
|
~~~~~
|
|
323
|
|
|
331
|
|
|
324
|
|
|
332
|
|
|
325
|
And more exotic objects can also be displayed, as long as their
|
|
333
|
And more exotic objects can also be displayed, as long as their
|
|
326
|
representation supports the IPython display protocol.
|
|
334
|
representation supports the IPython display protocol.
|
|
327
|
|
|
335
|
|
|
328
|
For example, videos hosted externally on YouTube are easy to load (and
|
|
336
|
For example, videos hosted externally on YouTube are easy to load (and
|
|
329
|
writing a similar wrapper for other hosted content is trivial):
|
|
337
|
writing a similar wrapper for other hosted content is trivial):
|
|
330
|
|
|
338
|
|
|
331
|
In[7]:
|
|
339
|
In[7]:
|
|
332
|
|
|
340
|
|
|
333
|
.. code:: python
|
|
341
|
.. code:: python
|
|
334
|
|
|
342
|
|
|
335
|
from IPython.display import YouTubeVideo
|
|
343
|
from IPython.display import YouTubeVideo
|
|
336
|
# a talk about IPython at Sage Days at U. Washington, Seattle.
|
|
344
|
# a talk about IPython at Sage Days at U. Washington, Seattle.
|
|
337
|
# Video credit: William Stein.
|
|
345
|
# Video credit: William Stein.
|
|
338
|
YouTubeVideo('1j_HxD4iLn8')
|
|
346
|
YouTubeVideo('1j_HxD4iLn8')
|
|
339
|
|
|
347
|
|
|
340
|
Out[7]:
|
|
348
|
Out[7]:
|
|
|
|
|
349
|
.. parsed-literal::
|
|
|
|
|
350
|
|
|
|
|
|
351
|
<IPython.lib.display.YouTubeVideo at 0x10fba2190>
|
|
|
|
|
352
|
|
|
341
|
|
|
353
|
|
|
342
|
Using the nascent video capabilities of modern browsers, you may also be
|
|
354
|
Using the nascent video capabilities of modern browsers, you may also be
|
|
343
|
able to display local videos. At the moment this doesn't work very well
|
|
355
|
able to display local videos. At the moment this doesn't work very well
|
|
344
|
in all browsers, so it may or may not work for you; we will continue
|
|
356
|
in all browsers, so it may or may not work for you; we will continue
|
|
345
|
testing this and looking for ways to make it more robust.
|
|
357
|
testing this and looking for ways to make it more robust.
|
|
346
|
|
|
358
|
|
|
347
|
The following cell loads a local file called ``animation.m4v``, encodes
|
|
359
|
The following cell loads a local file called ``animation.m4v``, encodes
|
|
348
|
the raw video as base64 for http transport, and uses the HTML5 video tag
|
|
360
|
the raw video as base64 for http transport, and uses the HTML5 video tag
|
|
349
|
to load it. On Chrome 15 it works correctly, displaying a control bar at
|
|
361
|
to load it. On Chrome 15 it works correctly, displaying a control bar at
|
|
350
|
the bottom with a play/pause button and a location slider.
|
|
362
|
the bottom with a play/pause button and a location slider.
|
|
351
|
|
|
363
|
|
|
352
|
In[8]:
|
|
364
|
In[8]:
|
|
353
|
|
|
365
|
|
|
354
|
.. code:: python
|
|
366
|
.. code:: python
|
|
355
|
|
|
367
|
|
|
356
|
from IPython.display import HTML
|
|
368
|
from IPython.display import HTML
|
|
357
|
video = open("animation.m4v", "rb").read()
|
|
369
|
video = open("animation.m4v", "rb").read()
|
|
358
|
video_encoded = video.encode("base64")
|
|
370
|
video_encoded = video.encode("base64")
|
|
359
|
video_tag = '<video controls alt="test" src="data:video/x-m4v;base64,{0}">'.format(video_encoded)
|
|
371
|
video_tag = '<video controls alt="test" src="data:video/x-m4v;base64,{0}">'.format(video_encoded)
|
|
360
|
HTML(data=video_tag)
|
|
372
|
HTML(data=video_tag)
|
|
361
|
|
|
373
|
|
|
362
|
Out[8]:
|
|
374
|
Out[8]:
|
|
|
|
|
375
|
.. parsed-literal::
|
|
|
|
|
376
|
|
|
|
|
|
377
|
<IPython.core.display.HTML at 0x10fba28d0>
|
|
|
|
|
378
|
|
|
363
|
|
|
379
|
|
|
364
|
Local Files
|
|
380
|
Local Files
|
|
365
|
-----------
|
|
381
|
-----------
|
|
366
|
|
|
382
|
|
|
367
|
The above examples embed images and video from the notebook filesystem
|
|
383
|
The above examples embed images and video from the notebook filesystem
|
|
368
|
in the output areas of code cells. It is also possible to request these
|
|
384
|
in the output areas of code cells. It is also possible to request these
|
|
369
|
files directly in markdown cells if they reside in the notebook
|
|
385
|
files directly in markdown cells if they reside in the notebook
|
|
370
|
directory via relative urls prefixed with ``files/``:
|
|
386
|
directory via relative urls prefixed with ``files/``:
|
|
371
|
|
|
387
|
|
|
372
|
::
|
|
388
|
::
|
|
373
|
|
|
389
|
|
|
374
|
files/[subdirectory/]<filename>
|
|
390
|
files/[subdirectory/]<filename>
|
|
375
|
|
|
391
|
|
|
376
|
For example, in the example notebook folder, we have the Python logo,
|
|
392
|
For example, in the example notebook folder, we have the Python logo,
|
|
377
|
addressed as:
|
|
393
|
addressed as:
|
|
378
|
|
|
394
|
|
|
379
|
::
|
|
395
|
::
|
|
380
|
|
|
396
|
|
|
381
|
<img src="files/python-logo.svg" />
|
|
397
|
<img src="files/python-logo.svg" />
|
|
382
|
|
|
398
|
|
|
383
|
and a video with the HTML5 video tag:
|
|
399
|
and a video with the HTML5 video tag:
|
|
384
|
|
|
400
|
|
|
385
|
::
|
|
401
|
::
|
|
386
|
|
|
402
|
|
|
387
|
<video controls src="files/animation.m4v" />
|
|
403
|
<video controls src="files/animation.m4v" />
|
|
388
|
|
|
404
|
|
|
389
|
These do not embed the data into the notebook file, and require that the
|
|
405
|
These do not embed the data into the notebook file, and require that the
|
|
390
|
files exist when you are viewing the notebook.
|
|
406
|
files exist when you are viewing the notebook.
|
|
391
|
|
|
407
|
|
|
392
|
Security of local files
|
|
408
|
Security of local files
|
|
393
|
~~~~~~~~~~~~~~~~~~~~~~~
|
|
409
|
~~~~~~~~~~~~~~~~~~~~~~~
|
|
394
|
|
|
410
|
|
|
395
|
Note that this means that the IPython notebook server also acts as a
|
|
411
|
Note that this means that the IPython notebook server also acts as a
|
|
396
|
generic file server for files inside the same tree as your notebooks.
|
|
412
|
generic file server for files inside the same tree as your notebooks.
|
|
397
|
Access is not granted outside the notebook folder so you have strict
|
|
413
|
Access is not granted outside the notebook folder so you have strict
|
|
398
|
control over what files are visible, but for this reason it is highly
|
|
414
|
control over what files are visible, but for this reason it is highly
|
|
399
|
recommended that you do not run the notebook server with a notebook
|
|
415
|
recommended that you do not run the notebook server with a notebook
|
|
400
|
directory at a high level in your filesystem (e.g. your home directory).
|
|
416
|
directory at a high level in your filesystem (e.g. your home directory).
|
|
401
|
|
|
417
|
|
|
402
|
When you run the notebook in a password-protected manner, local file
|
|
418
|
When you run the notebook in a password-protected manner, local file
|
|
403
|
access is restricted to authenticated users unless read-only views are
|
|
419
|
access is restricted to authenticated users unless read-only views are
|
|
404
|
active.
|
|
420
|
active.
|
|
405
|
|
|
421
|
|
|
406
|
Linking to files and directories for viewing in the browser
|
|
422
|
Linking to files and directories for viewing in the browser
|
|
407
|
-----------------------------------------------------------
|
|
423
|
-----------------------------------------------------------
|
|
408
|
|
|
424
|
|
|
409
|
It is also possible to link directly to files or directories so they can
|
|
425
|
It is also possible to link directly to files or directories so they can
|
|
410
|
be opened in the browser. This is especially convenient if you're
|
|
426
|
be opened in the browser. This is especially convenient if you're
|
|
411
|
interacting with a tool within IPython that generates HTML pages, and
|
|
427
|
interacting with a tool within IPython that generates HTML pages, and
|
|
412
|
you'd like to easily be able to open those in a new browser window.
|
|
428
|
you'd like to easily be able to open those in a new browser window.
|
|
413
|
Alternatively, if your IPython notebook server is on a remote system,
|
|
429
|
Alternatively, if your IPython notebook server is on a remote system,
|
|
414
|
creating links provides an easy way to download any files that get
|
|
430
|
creating links provides an easy way to download any files that get
|
|
415
|
generated.
|
|
431
|
generated.
|
|
416
|
|
|
432
|
|
|
417
|
As we saw above, there are a bunch of ``.ipynb`` files in our current
|
|
433
|
As we saw above, there are a bunch of ``.ipynb`` files in our current
|
|
418
|
directory.
|
|
434
|
directory.
|
|
419
|
|
|
435
|
|
|
420
|
In[1]:
|
|
436
|
In[1]:
|
|
421
|
|
|
437
|
|
|
422
|
.. code:: python
|
|
438
|
.. code:: python
|
|
423
|
|
|
439
|
|
|
424
|
ls
|
|
440
|
ls
|
|
425
|
|
|
441
|
|
|
426
|
|
|
442
|
|
|
427
|
.. parsed-literal::
|
|
443
|
.. parsed-literal::
|
|
428
|
|
|
444
|
|
|
429
|
00_notebook_tour.ipynb formatting.ipynb
|
|
445
|
00_notebook_tour.ipynb formatting.ipynb
|
|
430
|
01_notebook_introduction.ipynb octavemagic_extension.ipynb
|
|
446
|
01_notebook_introduction.ipynb octavemagic_extension.ipynb
|
|
431
|
Animations_and_Progress.ipynb publish_data.ipynb
|
|
447
|
Animations_and_Progress.ipynb publish_data.ipynb
|
|
432
|
Capturing Output.ipynb python-logo.svg
|
|
448
|
Capturing Output.ipynb python-logo.svg
|
|
433
|
Script Magics.ipynb rmagic_extension.ipynb
|
|
449
|
Script Magics.ipynb rmagic_extension.ipynb
|
|
434
|
animation.m4v sympy.ipynb
|
|
450
|
animation.m4v sympy.ipynb
|
|
435
|
cython_extension.ipynb sympy_quantum_computing.ipynb
|
|
451
|
cython_extension.ipynb sympy_quantum_computing.ipynb
|
|
436
|
display_protocol.ipynb trapezoid_rule.ipynb
|
|
452
|
display_protocol.ipynb trapezoid_rule.ipynb
|
|
437
|
|
|
453
|
|
|
438
|
If we want to create a link to one of them, we can call use the
|
|
454
|
If we want to create a link to one of them, we can call use the
|
|
439
|
``FileLink`` object.
|
|
455
|
``FileLink`` object.
|
|
440
|
|
|
456
|
|
|
441
|
In[2]:
|
|
457
|
In[2]:
|
|
442
|
|
|
458
|
|
|
443
|
.. code:: python
|
|
459
|
.. code:: python
|
|
444
|
|
|
460
|
|
|
445
|
from IPython.display import FileLink
|
|
461
|
from IPython.display import FileLink
|
|
446
|
FileLink('00_notebook_tour.ipynb')
|
|
462
|
FileLink('00_notebook_tour.ipynb')
|
|
447
|
|
|
463
|
|
|
448
|
Out[2]:
|
|
464
|
Out[2]:
|
|
|
|
|
465
|
.. parsed-literal::
|
|
|
|
|
466
|
|
|
|
|
|
467
|
<IPython.lib.display.FileLink at 0x10f7ea3d0>
|
|
|
|
|
468
|
|
|
449
|
|
|
469
|
|
|
450
|
Alternatively, if we want to link to all of them, we can use the
|
|
470
|
Alternatively, if we want to link to all of them, we can use the
|
|
451
|
``FileLinks`` object, passing ``'.'`` to indicate that we want links
|
|
471
|
``FileLinks`` object, passing ``'.'`` to indicate that we want links
|
|
452
|
generated for the current working directory. Note that if there were
|
|
472
|
generated for the current working directory. Note that if there were
|
|
453
|
other directories under the current directory, ``FileLinks`` would work
|
|
473
|
other directories under the current directory, ``FileLinks`` would work
|
|
454
|
in a recursive manner creating links to files in all sub-directories as
|
|
474
|
in a recursive manner creating links to files in all sub-directories as
|
|
455
|
well.
|
|
475
|
well.
|
|
456
|
|
|
476
|
|
|
457
|
In[7]:
|
|
477
|
In[7]:
|
|
458
|
|
|
478
|
|
|
459
|
.. code:: python
|
|
479
|
.. code:: python
|
|
460
|
|
|
480
|
|
|
461
|
from IPython.display import FileLinks
|
|
481
|
from IPython.display import FileLinks
|
|
462
|
FileLinks('.')
|
|
482
|
FileLinks('.')
|
|
463
|
|
|
483
|
|
|
464
|
Out[7]:
|
|
484
|
Out[7]:
|
|
|
|
|
485
|
.. parsed-literal::
|
|
|
|
|
486
|
|
|
|
|
|
487
|
<IPython.lib.display.FileLinks at 0x10f7eaad0>
|
|
|
|
|
488
|
|
|
465
|
|
|
489
|
|
|
466
|
External sites
|
|
490
|
External sites
|
|
467
|
~~~~~~~~~~~~~~
|
|
491
|
~~~~~~~~~~~~~~
|
|
468
|
|
|
492
|
|
|
469
|
You can even embed an entire page from another site in an iframe; for
|
|
493
|
You can even embed an entire page from another site in an iframe; for
|
|
470
|
example this is today's Wikipedia page for mobile users:
|
|
494
|
example this is today's Wikipedia page for mobile users:
|
|
471
|
|
|
495
|
|
|
472
|
In[9]:
|
|
496
|
In[9]:
|
|
473
|
|
|
497
|
|
|
474
|
.. code:: python
|
|
498
|
.. code:: python
|
|
475
|
|
|
499
|
|
|
476
|
HTML('<iframe src=http://en.mobile.wikipedia.org/?useformat=mobile width=700 height=350></iframe>')
|
|
500
|
HTML('<iframe src=http://en.mobile.wikipedia.org/?useformat=mobile width=700 height=350></iframe>')
|
|
477
|
|
|
501
|
|
|
478
|
Out[9]:
|
|
502
|
Out[9]:
|
|
|
|
|
503
|
.. parsed-literal::
|
|
|
|
|
504
|
|
|
|
|
|
505
|
<IPython.core.display.HTML at 0x1094900d0>
|
|
|
|
|
506
|
|
|
479
|
|
|
507
|
|
|
480
|
Mathematics
|
|
508
|
Mathematics
|
|
481
|
~~~~~~~~~~~
|
|
509
|
~~~~~~~~~~~
|
|
482
|
|
|
510
|
|
|
483
|
And we also support the display of mathematical expressions typeset in
|
|
511
|
And we also support the display of mathematical expressions typeset in
|
|
484
|
LaTeX, which is rendered in the browser thanks to the `MathJax
|
|
512
|
LaTeX, which is rendered in the browser thanks to the `MathJax
|
|
485
|
library <http://mathjax.org>`_.
|
|
513
|
library <http://mathjax.org>`_.
|
|
486
|
|
|
514
|
|
|
487
|
Note that this is *different* from the above examples. Above we were
|
|
515
|
Note that this is *different* from the above examples. Above we were
|
|
488
|
typing mathematical expressions in Markdown cells (along with normal
|
|
516
|
typing mathematical expressions in Markdown cells (along with normal
|
|
489
|
text) and letting the browser render them; now we are displaying the
|
|
517
|
text) and letting the browser render them; now we are displaying the
|
|
490
|
output of a Python computation as a LaTeX expression wrapped by the
|
|
518
|
output of a Python computation as a LaTeX expression wrapped by the
|
|
491
|
``Math()`` object so the browser renders it. The ``Math`` object will
|
|
519
|
``Math()`` object so the browser renders it. The ``Math`` object will
|
|
492
|
add the needed LaTeX delimiters (``$$``) if they are not provided:
|
|
520
|
add the needed LaTeX delimiters (``$$``) if they are not provided:
|
|
493
|
|
|
521
|
|
|
494
|
In[10]:
|
|
522
|
In[10]:
|
|
495
|
|
|
523
|
|
|
496
|
.. code:: python
|
|
524
|
.. code:: python
|
|
497
|
|
|
525
|
|
|
498
|
from IPython.display import Math
|
|
526
|
from IPython.display import Math
|
|
499
|
Math(r'F(k) = \int_{-\infty}^{\infty} f(x) e^{2\pi i k} dx')
|
|
527
|
Math(r'F(k) = \int_{-\infty}^{\infty} f(x) e^{2\pi i k} dx')
|
|
500
|
|
|
528
|
|
|
501
|
Out[10]:
|
|
529
|
Out[10]:
|
|
502
|
.. math::
|
|
530
|
.. math::
|
|
503
|
|
|
531
|
|
|
504
|
$$F(k) = \int_{-\infty}^{\infty} f(x) e^{2\pi i k} dx$$
|
|
532
|
$$F(k) = \int_{-\infty}^{\infty} f(x) e^{2\pi i k} dx$$
|
|
505
|
|
|
533
|
|
|
506
|
|
|
534
|
|
|
507
|
With the ``Latex`` class, you have to include the delimiters yourself.
|
|
535
|
With the ``Latex`` class, you have to include the delimiters yourself.
|
|
508
|
This allows you to use other LaTeX modes such as ``eqnarray``:
|
|
536
|
This allows you to use other LaTeX modes such as ``eqnarray``:
|
|
509
|
|
|
537
|
|
|
510
|
In[11]:
|
|
538
|
In[11]:
|
|
511
|
|
|
539
|
|
|
512
|
.. code:: python
|
|
540
|
.. code:: python
|
|
513
|
|
|
541
|
|
|
514
|
from IPython.display import Latex
|
|
542
|
from IPython.display import Latex
|
|
515
|
Latex(r"""\begin{eqnarray}
|
|
543
|
Latex(r"""\begin{eqnarray}
|
|
516
|
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\
|
|
544
|
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\
|
|
517
|
\nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
|
|
545
|
\nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
|
|
518
|
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
|
|
546
|
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
|
|
519
|
\nabla \cdot \vec{\mathbf{B}} & = 0
|
|
547
|
\nabla \cdot \vec{\mathbf{B}} & = 0
|
|
520
|
\end{eqnarray}""")
|
|
548
|
\end{eqnarray}""")
|
|
521
|
|
|
549
|
|
|
522
|
Out[11]:
|
|
550
|
Out[11]:
|
|
523
|
.. math::
|
|
551
|
.. math::
|
|
524
|
|
|
552
|
|
|
525
|
\begin{eqnarray}
|
|
553
|
\begin{eqnarray}
|
|
526
|
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\
|
|
554
|
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\
|
|
527
|
\nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
|
|
555
|
\nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
|
|
528
|
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
|
|
556
|
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
|
|
529
|
\nabla \cdot \vec{\mathbf{B}} & = 0
|
|
557
|
\nabla \cdot \vec{\mathbf{B}} & = 0
|
|
530
|
\end{eqnarray}
|
|
558
|
\end{eqnarray}
|
|
531
|
|
|
559
|
|
|
532
|
|
|
560
|
|
|
533
|
Or you can enter latex directly with the ``%%latex`` cell magic:
|
|
561
|
Or you can enter latex directly with the ``%%latex`` cell magic:
|
|
534
|
|
|
562
|
|
|
535
|
In[12]:
|
|
563
|
In[12]:
|
|
536
|
|
|
564
|
|
|
537
|
.. code:: python
|
|
565
|
.. code:: python
|
|
538
|
|
|
566
|
|
|
539
|
%%latex
|
|
567
|
%%latex
|
|
540
|
\begin{aligned}
|
|
568
|
\begin{aligned}
|
|
541
|
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\
|
|
569
|
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\
|
|
542
|
\nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
|
|
570
|
\nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
|
|
543
|
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
|
|
571
|
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
|
|
544
|
\nabla \cdot \vec{\mathbf{B}} & = 0
|
|
572
|
\nabla \cdot \vec{\mathbf{B}} & = 0
|
|
545
|
\end{aligned}
|
|
573
|
\end{aligned}
|
|
546
|
|
|
574
|
|
|
547
|
.. math::
|
|
575
|
.. math::
|
|
548
|
|
|
576
|
|
|
549
|
\begin{aligned}
|
|
577
|
\begin{aligned}
|
|
550
|
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\
|
|
578
|
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\
|
|
551
|
\nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
|
|
579
|
\nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
|
|
552
|
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
|
|
580
|
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
|
|
553
|
\nabla \cdot \vec{\mathbf{B}} & = 0
|
|
581
|
\nabla \cdot \vec{\mathbf{B}} & = 0
|
|
554
|
\end{aligned}
|
|
582
|
\end{aligned}
|
|
555
|
|
|
583
|
|
|
556
|
There is also a ``%%javascript`` cell magic for running javascript
|
|
584
|
There is also a ``%%javascript`` cell magic for running javascript
|
|
557
|
directly, and ``%%svg`` for manually entering SVG content.
|
|
585
|
directly, and ``%%svg`` for manually entering SVG content.
|
|
558
|
|
|
586
|
|
|
559
|
Loading external codes
|
|
587
|
Loading external codes
|
|
560
|
======================
|
|
588
|
======================
|
|
561
|
|
|
589
|
|
|
562
|
- Drag and drop a ``.py`` in the dashboard
|
|
590
|
- Drag and drop a ``.py`` in the dashboard
|
|
563
|
- Use ``%load`` with any local or remote url: `the Matplotlib
|
|
591
|
- Use ``%load`` with any local or remote url: `the Matplotlib
|
|
564
|
Gallery! <http://matplotlib.sourceforge.net/gallery.html>`_
|
|
592
|
Gallery! <http://matplotlib.sourceforge.net/gallery.html>`_
|
|
565
|
|
|
593
|
|
|
566
|
In this notebook we've kept the output saved so you can see the result,
|
|
594
|
In this notebook we've kept the output saved so you can see the result,
|
|
567
|
but you should run the next cell yourself (with an active internet
|
|
595
|
but you should run the next cell yourself (with an active internet
|
|
568
|
connection).
|
|
596
|
connection).
|
|
569
|
|
|
597
|
|
|
570
|
Let's make sure we have pylab again, in case we have restarted the
|
|
598
|
Let's make sure we have pylab again, in case we have restarted the
|
|
571
|
kernel due to the crash demo above
|
|
599
|
kernel due to the crash demo above
|
|
572
|
|
|
600
|
|
|
573
|
In[12]:
|
|
601
|
In[12]:
|
|
574
|
|
|
602
|
|
|
575
|
.. code:: python
|
|
603
|
.. code:: python
|
|
576
|
|
|
604
|
|
|
577
|
%pylab inline
|
|
605
|
%pylab inline
|
|
578
|
|
|
606
|
|
|
579
|
|
|
607
|
|
|
580
|
.. parsed-literal::
|
|
608
|
.. parsed-literal::
|
|
581
|
|
|
609
|
|
|
582
|
|
|
610
|
|
|
583
|
Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].
|
|
611
|
Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].
|
|
584
|
For more information, type 'help(pylab)'.
|
|
612
|
For more information, type 'help(pylab)'.
|
|
585
|
|
|
613
|
|
|
586
|
In[15]:
|
|
614
|
In[15]:
|
|
587
|
|
|
615
|
|
|
588
|
.. code:: python
|
|
616
|
.. code:: python
|
|
589
|
|
|
617
|
|
|
590
|
%load http://matplotlib.sourceforge.net/mpl_examples/pylab_examples/integral_demo.py
|
|
618
|
%load http://matplotlib.sourceforge.net/mpl_examples/pylab_examples/integral_demo.py
|
|
591
|
|
|
619
|
|
|
592
|
In[16]:
|
|
620
|
In[16]:
|
|
593
|
|
|
621
|
|
|
594
|
.. code:: python
|
|
622
|
.. code:: python
|
|
595
|
|
|
623
|
|
|
596
|
#!/usr/bin/env python
|
|
624
|
#!/usr/bin/env python
|
|
597
|
|
|
625
|
|
|
598
|
# implement the example graphs/integral from pyx
|
|
626
|
# implement the example graphs/integral from pyx
|
|
599
|
from pylab import *
|
|
627
|
from pylab import *
|
|
600
|
from matplotlib.patches import Polygon
|
|
628
|
from matplotlib.patches import Polygon
|
|
601
|
|
|
629
|
|
|
602
|
def func(x):
|
|
630
|
def func(x):
|
|
603
|
return (x-3)*(x-5)*(x-7)+85
|
|
631
|
return (x-3)*(x-5)*(x-7)+85
|
|
604
|
|
|
632
|
|
|
605
|
ax = subplot(111)
|
|
633
|
ax = subplot(111)
|
|
606
|
|
|
634
|
|
|
607
|
a, b = 2, 9 # integral area
|
|
635
|
a, b = 2, 9 # integral area
|
|
608
|
x = arange(0, 10, 0.01)
|
|
636
|
x = arange(0, 10, 0.01)
|
|
609
|
y = func(x)
|
|
637
|
y = func(x)
|
|
610
|
plot(x, y, linewidth=1)
|
|
638
|
plot(x, y, linewidth=1)
|
|
611
|
|
|
639
|
|
|
612
|
# make the shaded region
|
|
640
|
# make the shaded region
|
|
613
|
ix = arange(a, b, 0.01)
|
|
641
|
ix = arange(a, b, 0.01)
|
|
614
|
iy = func(ix)
|
|
642
|
iy = func(ix)
|
|
615
|
verts = [(a,0)] + zip(ix,iy) + [(b,0)]
|
|
643
|
verts = [(a,0)] + zip(ix,iy) + [(b,0)]
|
|
616
|
poly = Polygon(verts, facecolor='0.8', edgecolor='k')
|
|
644
|
poly = Polygon(verts, facecolor='0.8', edgecolor='k')
|
|
617
|
ax.add_patch(poly)
|
|
645
|
ax.add_patch(poly)
|
|
618
|
|
|
646
|
|
|
619
|
text(0.5 * (a + b), 30,
|
|
647
|
text(0.5 * (a + b), 30,
|
|
620
|
r"$\int_a^b f(x)\mathrm{d}x$", horizontalalignment='center',
|
|
648
|
r"$\int_a^b f(x)\mathrm{d}x$", horizontalalignment='center',
|
|
621
|
fontsize=20)
|
|
649
|
fontsize=20)
|
|
622
|
|
|
650
|
|
|
623
|
axis([0,10, 0, 180])
|
|
651
|
axis([0,10, 0, 180])
|
|
624
|
figtext(0.9, 0.05, 'x')
|
|
652
|
figtext(0.9, 0.05, 'x')
|
|
625
|
figtext(0.1, 0.9, 'y')
|
|
653
|
figtext(0.1, 0.9, 'y')
|
|
626
|
ax.set_xticks((a,b))
|
|
654
|
ax.set_xticks((a,b))
|
|
627
|
ax.set_xticklabels(('a','b'))
|
|
655
|
ax.set_xticklabels(('a','b'))
|
|
628
|
ax.set_yticks([])
|
|
656
|
ax.set_yticks([])
|
|
629
|
show()
|
|
657
|
show()
|
|
630
|
|
|
658
|
|
|
631
|
|
|
659
|
|
|
632
|
.. image:: _fig_60.png
|
|
660
|
.. image:: _fig_60.png
|
|
633
|
|
|
|
|