File: Mathematical-Constants.html

package info (click to toggle)
gsl-ref-html 2.3-1
  • links: PTS
  • area: non-free
  • in suites: bullseye, buster, sid
  • size: 6,876 kB
  • ctags: 4,574
  • sloc: makefile: 35
file content (157 lines) | stat: -rw-r--r-- 5,770 bytes parent folder | download
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<!-- Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016 The GSL Team.

Permission is granted to copy, distribute and/or modify this document
under the terms of the GNU Free Documentation License, Version 1.3 or
any later version published by the Free Software Foundation; with the
Invariant Sections being "GNU General Public License" and "Free Software
Needs Free Documentation", the Front-Cover text being "A GNU Manual",
and with the Back-Cover Text being (a) (see below). A copy of the
license is included in the section entitled "GNU Free Documentation
License".

(a) The Back-Cover Text is: "You have the freedom to copy and modify this
GNU Manual." -->
<!-- Created by GNU Texinfo 5.1, http://www.gnu.org/software/texinfo/ -->
<head>
<title>GNU Scientific Library &ndash; Reference Manual: Mathematical Constants</title>

<meta name="description" content="GNU Scientific Library &ndash; Reference Manual: Mathematical Constants">
<meta name="keywords" content="GNU Scientific Library &ndash; Reference Manual: Mathematical Constants">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="makeinfo">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<link href="index.html#Top" rel="start" title="Top">
<link href="Function-Index.html#Function-Index" rel="index" title="Function Index">
<link href="Mathematical-Functions.html#Mathematical-Functions" rel="up" title="Mathematical Functions">
<link href="Infinities-and-Not_002da_002dnumber.html#Infinities-and-Not_002da_002dnumber" rel="next" title="Infinities and Not-a-number">
<link href="Mathematical-Functions.html#Mathematical-Functions" rel="previous" title="Mathematical Functions">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.smallquotation {font-size: smaller}
div.display {margin-left: 3.2em}
div.example {margin-left: 3.2em}
div.indentedblock {margin-left: 3.2em}
div.lisp {margin-left: 3.2em}
div.smalldisplay {margin-left: 3.2em}
div.smallexample {margin-left: 3.2em}
div.smallindentedblock {margin-left: 3.2em; font-size: smaller}
div.smalllisp {margin-left: 3.2em}
kbd {font-style:oblique}
pre.display {font-family: inherit}
pre.format {font-family: inherit}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: inherit; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: inherit; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.nocodebreak {white-space:nowrap}
span.nolinebreak {white-space:nowrap}
span.roman {font-family:serif; font-weight:normal}
span.sansserif {font-family:sans-serif; font-weight:normal}
ul.no-bullet {list-style: none}
-->
</style>


</head>

<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<a name="Mathematical-Constants"></a>
<div class="header">
<p>
Next: <a href="Infinities-and-Not_002da_002dnumber.html#Infinities-and-Not_002da_002dnumber" accesskey="n" rel="next">Infinities and Not-a-number</a>, Up: <a href="Mathematical-Functions.html#Mathematical-Functions" accesskey="u" rel="up">Mathematical Functions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Mathematical-Constants-1"></a>
<h3 class="section">4.1 Mathematical Constants</h3>
<a name="index-mathematical-constants_002c-defined-as-macros"></a>
<a name="index-numerical-constants_002c-defined-as-macros"></a>
<a name="index-constants_002c-mathematical_002d_002d_002ddefined-as-macros"></a>
<a name="index-macros-for-mathematical-constants"></a>
<p>The library ensures that the standard <small>BSD</small> mathematical constants
are defined. For reference, here is a list of the constants:
</p>
<dl compact="compact">
<dt><code>M_E</code></dt>
<dd><a name="index-e_002c-defined-as-a-macro"></a>
<p>The base of exponentials, <em>e</em>
</p>
</dd>
<dt><code>M_LOG2E</code></dt>
<dd><p>The base-2 logarithm of <em>e</em>, <em>\log_2 (e)</em>
</p>
</dd>
<dt><code>M_LOG10E</code></dt>
<dd><p>The base-10 logarithm of <em>e</em>, <em>\log_10 (e)</em>
</p>
</dd>
<dt><code>M_SQRT2</code></dt>
<dd><p>The square root of two, <em>\sqrt 2</em>
</p>
</dd>
<dt><code>M_SQRT1_2</code></dt>
<dd><p>The square root of one-half, <em>\sqrt{1/2}</em>
</p>
</dd>
<dt><code>M_SQRT3</code></dt>
<dd><p>The square root of three, <em>\sqrt 3</em>
</p>
</dd>
<dt><code>M_PI</code></dt>
<dd><a name="index-pi_002c-defined-as-a-macro"></a>
<p>The constant pi, <em>\pi</em>
</p>
</dd>
<dt><code>M_PI_2</code></dt>
<dd><p>Pi divided by two, <em>\pi/2</em>
</p>
</dd>
<dt><code>M_PI_4</code></dt>
<dd><p>Pi divided by four, <em>\pi/4</em>
</p>
</dd>
<dt><code>M_SQRTPI</code></dt>
<dd><p>The square root of pi, <em>\sqrt\pi</em>
</p>
</dd>
<dt><code>M_2_SQRTPI</code></dt>
<dd><p>Two divided by the square root of pi, <em>2/\sqrt\pi</em>
</p>
</dd>
<dt><code>M_1_PI</code></dt>
<dd><p>The reciprocal of pi, <em>1/\pi</em>
</p>
</dd>
<dt><code>M_2_PI</code></dt>
<dd><p>Twice the reciprocal of pi, <em>2/\pi</em>
</p>
</dd>
<dt><code>M_LN10</code></dt>
<dd><p>The natural logarithm of ten, <em>\ln(10)</em>
</p>
</dd>
<dt><code>M_LN2</code></dt>
<dd><p>The natural logarithm of two, <em>\ln(2)</em>
</p>
</dd>
<dt><code>M_LNPI</code></dt>
<dd><p>The natural logarithm of pi, <em>\ln(\pi)</em>
</p>
</dd>
<dt><code>M_EULER</code></dt>
<dd><a name="index-Euler_0027s-constant_002c-defined-as-a-macro"></a>
<p>Euler&rsquo;s constant, <em>\gamma</em>
</p>
</dd>
</dl>




</body>
</html>