* Bug 15891 fixed: [doc] matrix-wise trigo pages => subsection
[scilab.git] / scilab / modules / elementary_functions / help / ja_JP / trigonometry / asech.xml
1 <?xml version="1.0" encoding="utf-8"?>
2
3 <refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org"  xml:id="asech" xml:lang="ja">
4
5     <refnamediv>
6
7         <refname>asech</refname>
8
9         <refpurpose>
10
11             引数の要素毎の逆双曲線割線を計算する.
12
13         </refpurpose>
14
15     </refnamediv>
16
17     <refsynopsisdiv>
18
19         <title>呼び出し手順</title>
20
21         <synopsis>y = asech(x)</synopsis>
22
23     </refsynopsisdiv>
24
25     <refsection>
26
27         <title>引数</title>
28
29         <variablelist>
30
31             <varlistentry>
32
33                 <term>x</term>
34
35                 <listitem>
36
37                     <para>実数または複素数の配列.</para>
38
39                 </listitem>
40
41             </varlistentry>
42
43             <varlistentry>
44
45                 <term>y</term>
46
47                 <listitem>
48
49                     <para>実数または複素数の配列.</para>
50
51                 </listitem>
52
53             </varlistentry>
54
55         </variablelist>
56
57     </refsection>
58
59     <refsection>
60
61         <title>説明</title>
62
63         <para>
64
65             引数の要素毎の逆双曲線割線を計算します.
66
67             引数が実数で絶対値が1より小さい場合,結果は実数となります.
68
69         </para>
70
71         <para>
72
73             以下の等式が成り立ちます: <code>asech(x) == acosh(1 ./ x) ==
74
75                 %i*csgn(%i*(1?1 ./ x))*asec(x) == csgn(%i*(1 ? 1 ./
76
77                 x))*(%pi/2*(%i+acsch(%i*x)))
78
79             </code>
80
81         </para>
82
83     </refsection>
84
85     <refsection>
86
87         <title>例</title>
88
89         <programlisting role="example"><![CDATA[
90 asech(1)
91  ]]></programlisting>
92
93     </refsection>
94
95     <refsection role="see also">
96
97         <title>参照</title>
98
99         <simplelist type="inline">
100
101             <member>
102
103                 <link linkend="sech">sech</link>
104
105             </member>
106
107         </simplelist>
108
109     </refsection>
110
111     <refsection>
112
113         <title>参考文献</title>
114
115         <simplelist type="vert">
116
117             <member>Kahan, W., "Branch cuts for complex elementary functions, or,
118
119                 Much ado about nothing's sign bit", Proceedings of the joing IMA/SIAM
120
121                 conference on The State of the Art in Numerical Analysis, University of
122
123                 Birmingham, A. Iserles and M.J.D. Powell, eds, Clarendon Press, Oxford,
124
125                 1987, 165-210.
126
127             </member>
128
129         </simplelist>
130
131     </refsection>
132
133 </refentry>
134