1+ {
2+ "metadata" : {
3+ "name" : " notebook1"
4+ },
5+ "nbformat" : 3 ,
6+ "nbformat_minor" : 0 ,
7+ "worksheets" : [
8+ {
9+ "cells" : [
10+ {
11+ "cell_type" : " heading" ,
12+ "level" : 1 ,
13+ "metadata" : {},
14+ "source" : [
15+ " A simple SymPy example"
16+ ]
17+ },
18+ {
19+ "cell_type" : " markdown" ,
20+ "metadata" : {},
21+ "source" : [
22+ " First we import SymPy and initialize printing:"
23+ ]
24+ },
25+ {
26+ "cell_type" : " code" ,
27+ "collapsed" : false ,
28+ "input" : [
29+ " from sympy import init_printing\n " ,
30+ " from sympy import *\n " ,
31+ " init_printing()"
32+ ],
33+ "language" : " python" ,
34+ "metadata" : {},
35+ "outputs" : [],
36+ "prompt_number" : 2
37+ },
38+ {
39+ "cell_type" : " markdown" ,
40+ "metadata" : {},
41+ "source" : [
42+ " Create a few symbols:"
43+ ]
44+ },
45+ {
46+ "cell_type" : " code" ,
47+ "collapsed" : false ,
48+ "input" : [
49+ " x,y,z = symbols('x y z')"
50+ ],
51+ "language" : " python" ,
52+ "metadata" : {},
53+ "outputs" : [],
54+ "prompt_number" : 4
55+ },
56+ {
57+ "cell_type" : " markdown" ,
58+ "metadata" : {},
59+ "source" : [
60+ " Here is a basic expression:"
61+ ]
62+ },
63+ {
64+ "cell_type" : " code" ,
65+ "collapsed" : false ,
66+ "input" : [
67+ " e = x**2 + 2.0*y + sin(z); e"
68+ ],
69+ "language" : " python" ,
70+ "metadata" : {},
71+ "outputs" : [
72+ {
73+ "latex" : [
74+ " $$x^{2} + 2.0 y + \\ sin{\\ left (z \\ right )}$$"
75+ ],
76+ "metadata" : {},
77+ "output_type" : " pyout" ,
78+ "png": "iVBORw0KGgoAAAANSUhEUgAAAKMAAAAZBAMAAACvE4OgAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nSUVORK5CYII=\n",
79+ "prompt_number" : 6 ,
80+ "text" : [
81+ " 2 \n " ,
82+ " x + 2.0\u22c5 y + sin(z)"
83+ ]
84+ }
85+ ],
86+ "prompt_number" : 6
87+ },
88+ {
89+ "cell_type" : " code" ,
90+ "collapsed" : false ,
91+ "input" : [
92+ " diff(e, x)"
93+ ],
94+ "language" : " python" ,
95+ "metadata" : {},
96+ "outputs" : [
97+ {
98+ "latex" : [
99+ " $$2 x$$"
100+ ],
101+ "metadata" : {},
102+ "output_type" : " pyout" ,
103+ "png" : " iVBORw0KGgoAAAANSUhEUgAAABQAAAAOBAMAAADd6iHDAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\n AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpm7MhCriUTv3c12\n VGZoascqAAAAgElEQVQIHWNgVDJ2YICAMAb2H1BmKgPDTChzFgNDvgOEvT8AzgQKrA9gPZPYUwNk\n cXxnCGd4dWA1kMllwFDKUB9wEchUZmAIYNgMZDDwJIDIPyDiEgOjAAPLFwZWBhYFBh6BqzwfGI4y\n SJUXZXH8Zf7A+IBh////v1hzjh5/xwAAW80hUDE8HYkAAAAASUVORK5CYII=\n " ,
104+ "prompt_number" : 7 ,
105+ "text" : [
106+ " 2\u22c5 x"
107+ ]
108+ }
109+ ],
110+ "prompt_number" : 7
111+ },
112+ {
113+ "cell_type" : " code" ,
114+ "collapsed" : false ,
115+ "input" : [
116+ " integrate(e, z)"
117+ ],
118+ "language" : " python" ,
119+ "metadata" : {},
120+ "outputs" : [
121+ {
122+ "latex" : [
123+ " $$x^{2} z + 2.0 y z - \\ cos{\\ left (z \\ right )}$$"
124+ ],
125+ "metadata" : {},
126+ "output_type" : " pyout" ,
127+ "png": "iVBORw0KGgoAAAANSUhEUgAAALsAAAAZBAMAAACbakK8AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nYII=\n",
128+ "prompt_number" : 8 ,
129+ "text" : [
130+ " 2 \n " ,
131+ " x \u22c5 z + 2.0\u22c5 y\u22c5 z - cos(z)"
132+ ]
133+ }
134+ ],
135+ "prompt_number" : 8
136+ },
137+ {
138+ "cell_type" : " code" ,
139+ "collapsed" : false ,
140+ "input" : [],
141+ "language" : " python" ,
142+ "metadata" : {},
143+ "outputs" : []
144+ }
145+ ],
146+ "metadata" : {}
147+ }
148+ ]
149+ }
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