Mercurial > hg > octave-lyh

annotate doc/interpreter/arith.txi @ 6778:083721ae3dfa

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
[project @ 2007-07-18 17:03:10 by jwe]
author jwe
date Wed, 18 Jul 2007 17:03:11 +0000
parents babcbcc11ab6
children c81a0f3f5a82
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
6778
083721ae3dfa [project @ 2007-07-18 17:03:10 by jwe]
jwe
parents: 6770
diff changeset
1 @c Copyright (C) 1996, 1997, 2007 John W. Eaton
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
2 @c This is part of the Octave manual.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
3 @c For copying conditions, see the file gpl.texi.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
4
4167
aae05d51353c [project @ 2002-11-12 02:52:50 by jwe]
jwe
parents: 3982
diff changeset
5 @node Arithmetic
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
6 @chapter Arithmetic
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
7
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
8 Unless otherwise noted, all of the functions described in this chapter
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
9 will work for real and complex scalar or matrix arguments.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
10
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
11 @menu
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
12 * Utility Functions::
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
13 * Complex Arithmetic::
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
14 * Trigonometry::
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
15 * Sums and Products::
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
16 * Special Functions::
3803
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
17 * Coordinate Transformations::
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
18 * Mathematical Constants::
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
19 @end menu
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
20
4169
d5667eaf8859 [project @ 2002-11-12 03:13:42 by jwe]
jwe
parents: 4167
diff changeset
21 @node Utility Functions
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
22 @section Utility Functions
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
23
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
24 The following functions are available for working with complex numbers.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
25 Each expects a single argument. They are called @dfn{mapping functions}
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
26 because when given a matrix argument, they apply the given function to
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
27 each element of the matrix.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
28
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
29 @DOCSTRING(ceil)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
30
6550
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
31 @DOCSTRING(cplxpair)
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
32
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
33 @DOCSTRING(exp)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
34
6550
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
35 @DOCSTRING(factor)
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
36
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
37 @DOCSTRING(factorial)
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
38
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
39 @DOCSTRING(fix)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
40
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
41 @DOCSTRING(floor)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
42
6550
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
43 @DOCSTRING(fmod)
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
44
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
45 @DOCSTRING(gcd)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
46
6551
75c4045cf1db [project @ 2007-04-20 08:09:16 by jwe]
jwe
parents: 6550
diff changeset
47 @DOCSTRING(gradient)
75c4045cf1db [project @ 2007-04-20 08:09:16 by jwe]
jwe
parents: 6550
diff changeset
48
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
49 @DOCSTRING(lcm)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
50
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
51 @DOCSTRING(log)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
52
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
53 @DOCSTRING(log10)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
54
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
55 @DOCSTRING(log2)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
56
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
57 @DOCSTRING(max)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
58
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
59 @DOCSTRING(min)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
60
3982
334b3ee09f4b [project @ 2002-07-10 19:23:58 by jwe]
jwe
parents: 3803
diff changeset
61 @DOCSTRING(mod)
334b3ee09f4b [project @ 2002-07-10 19:23:58 by jwe]
jwe
parents: 3803
diff changeset
62
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
63 @DOCSTRING(nextpow2)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
64
6550
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
65 @DOCSTRING(nthroot)
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
66
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
67 @DOCSTRING(pow2)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
68
6550
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
69 @DOCSTRING(primes)
1b7a6061a05d [project @ 2007-04-20 07:40:26 by jwe]
jwe
parents: 6502
diff changeset
70
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
71 @DOCSTRING(rem)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
72
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
73 @DOCSTRING(round)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
74
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
75 @DOCSTRING(sign)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
76
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
77 @DOCSTRING(sqrt)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
78
4169
d5667eaf8859 [project @ 2002-11-12 03:13:42 by jwe]
jwe
parents: 4167
diff changeset
79 @node Complex Arithmetic
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
80 @section Complex Arithmetic
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
81
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
82 The following functions are available for working with complex
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
83 numbers. Each expects a single argument. Given a matrix they work on
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
84 an element by element basis. In the descriptions of the following
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
85 functions,
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
86 @iftex
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
87 @tex
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
88 $z$ is the complex number $x + iy$, where $i$ is defined as
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
89 $\sqrt{-1}$.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
90 @end tex
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
91 @end iftex
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
92 @ifinfo
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
93 @var{z} is the complex number @var{x} + @var{i}@var{y}, where @var{i} is
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
94 defined as @code{sqrt (-1)}.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
95 @end ifinfo
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
96
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
97 @DOCSTRING(abs)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
98
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
99 @DOCSTRING(arg)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
100
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
101 @DOCSTRING(conj)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
102
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
103 @DOCSTRING(imag)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
104
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
105 @DOCSTRING(real)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
106
4169
d5667eaf8859 [project @ 2002-11-12 03:13:42 by jwe]
jwe
parents: 4167
diff changeset
107 @node Trigonometry
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
108 @section Trigonometry
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
109
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
110 Octave provides the following trigonometric functions. Angles are
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
111 specified in radians. To convert from degrees to radians multipy by
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
112 @iftex
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
113 @tex
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
114 $\pi/180$
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
115 @end tex
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
116 @end iftex
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
117 @ifinfo
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
118 @code{pi/180}
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
119 @end ifinfo
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
120 (e.g. @code{sin (30 * pi/180)} returns the sine of 30 degrees).
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
121
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
122 @DOCSTRING(sin)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
123 @DOCSTRING(cos)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
124 @DOCSTRING(tan)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
125 @DOCSTRING(sec)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
126 @DOCSTRING(csc)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
127 @DOCSTRING(cot)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
128
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
129 @DOCSTRING(asin)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
130 @DOCSTRING(acos)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
131 @DOCSTRING(atan)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
132 @DOCSTRING(asec)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
133 @DOCSTRING(acsc)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
134 @DOCSTRING(acot)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
135
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
136 @DOCSTRING(sinh)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
137 @DOCSTRING(cosh)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
138 @DOCSTRING(tanh)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
139 @DOCSTRING(sech)
3428
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3321
diff changeset
140 @DOCSTRING(csch)
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
141 @DOCSTRING(coth)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
142
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
143 @DOCSTRING(asinh)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
144 @DOCSTRING(acosh)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
145 @DOCSTRING(atanh)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
146 @DOCSTRING(asech)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
147 @DOCSTRING(acsch)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
148 @DOCSTRING(acoth)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
149
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
150 Each of these functions expect a single argument. For matrix arguments,
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
151 they work on an element by element basis. For example,
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
152
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
153 @example
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
154 @group
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
155 sin ([1, 2; 3, 4])
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
156 @result{} 0.84147 0.90930
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
157 0.14112 -0.75680
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
158 @end group
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
159 @end example
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
160
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
161 @DOCSTRING(atan2)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
162
6502
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
163 In addition to the trigonometric functions that work with radians,
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
164 Octave also provides the following functions which work with degrees.
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
165
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
166 @DOCSTRING(sind)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
167 @DOCSTRING(cosd)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
168 @DOCSTRING(tand)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
169 @DOCSTRING(secd)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
170 @DOCSTRING(cscd)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
171 @DOCSTRING(cotd)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
172
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
173 @DOCSTRING(asind)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
174 @DOCSTRING(acosd)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
175 @DOCSTRING(atand)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
176 @DOCSTRING(asecd)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
177 @DOCSTRING(acscd)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
178 @DOCSTRING(acotd)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
179
4169
d5667eaf8859 [project @ 2002-11-12 03:13:42 by jwe]
jwe
parents: 4167
diff changeset
180 @node Sums and Products
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
181 @section Sums and Products
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
182
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
183 @DOCSTRING(sum)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
184
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
185 @DOCSTRING(prod)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
186
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
187 @DOCSTRING(cumsum)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
188
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
189 @DOCSTRING(cumprod)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
190
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
191 @DOCSTRING(sumsq)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
192
6770
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents: 6551
diff changeset
193 @DOCSTRING(accumarray)
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents: 6551
diff changeset
194
4169
d5667eaf8859 [project @ 2002-11-12 03:13:42 by jwe]
jwe
parents: 4167
diff changeset
195 @node Special Functions
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
196 @section Special Functions
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
197
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3444
diff changeset
198 @DOCSTRING(besselj)
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3444
diff changeset
199
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3444
diff changeset
200 @DOCSTRING(airy)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
201
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
202 @DOCSTRING(beta)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
203
3444
fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe]
jwe
parents: 3428
diff changeset
204 @DOCSTRING(betainc)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
205
6502
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
206 @DOCSTRING(betaln)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
207
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
208 @DOCSTRING(bincoeff)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
209
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
210 @DOCSTRING(erf)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
211
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
212 @DOCSTRING(erfc)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
213
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
214 @DOCSTRING(erfinv)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
215
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
216 @DOCSTRING(gamma)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
217
3444
fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe]
jwe
parents: 3428
diff changeset
218 @DOCSTRING(gammainc)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
219
6502
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
220 @DOCSTRING(legendre)
6ab0a8767780 [project @ 2007-04-06 03:32:06 by jwe]
jwe
parents: 4169
diff changeset
221
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
222 @DOCSTRING(lgamma)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
223
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
224 @DOCSTRING(cross)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
225
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
226 @DOCSTRING(commutation_matrix)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
227
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
228 @DOCSTRING(duplication_matrix)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
229
4169
d5667eaf8859 [project @ 2002-11-12 03:13:42 by jwe]
jwe
parents: 4167
diff changeset
230 @node Coordinate Transformations
3803
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
231 @section Coordinate Transformations
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
232
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
233 @DOCSTRING(cart2pol)
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
234
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
235 @DOCSTRING(pol2cart)
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
236
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
237 @DOCSTRING(cart2sph)
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
238
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
239 @DOCSTRING(sph2cart)
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents: 3459
diff changeset
240
4169
d5667eaf8859 [project @ 2002-11-12 03:13:42 by jwe]
jwe
parents: 4167
diff changeset
241 @node Mathematical Constants
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
242 @section Mathematical Constants
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
243
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
244 @DOCSTRING(I)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
245
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
246 @DOCSTRING(Inf)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
247
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
248 @DOCSTRING(NaN)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
249
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
250 @DOCSTRING(pi)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
251
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
252 @DOCSTRING(e)
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
253
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
254 @DOCSTRING(eps)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
255
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
256 @DOCSTRING(realmax)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
257
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3294
diff changeset
258 @DOCSTRING(realmin)