* Bug 15891 fixed: [doc] matrix-wise trigo pages => subsection
[scilab.git] / scilab / modules / elementary_functions / help / ja_JP / trigonometry / acot.xml
1 <?xml version="1.0" encoding="utf-8"?>
2 <refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
3           xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml"
4           xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook"
5           xmlns:scilab="http://www.scilab.org"  xml:id="acot" xml:lang="ja">
6     <refnamediv>
7         <refname>acot</refname>
8         <refpurpose>引数の要素毎の逆正接を計算する.</refpurpose>
9     </refnamediv>
10     <refsynopsisdiv>
11         <title>呼び出し手順</title>
12         <synopsis>y = acot(x)</synopsis>
13     </refsynopsisdiv>
14     <refsection>
15         <title>引数</title>
16         <variablelist>
17             <varlistentry>
18                 <term>x</term>
19                 <listitem>
20                     <para>実数または複素数の配列.</para>
21                 </listitem>
22             </varlistentry>
23             <varlistentry>
24                 <term>y</term>
25                 <listitem>
26                     <para>実数または複素数の配列.</para>
27                 </listitem>
28             </varlistentry>
29         </variablelist>
30     </refsection>
31     <refsection>
32         <title>説明</title>
33         <para>引数について要素毎の逆正接を計算します.
34             引数が実数の場合,結果も実数となります.
35         </para>
36         <para>
37             以下の等式は保持されます:
38             <code>acot(z) =
39                 %pi-acot(-z)=%pi/2-atan(z)=%i*acoth(%i*z)+%pi/2*(1-csgn(z+%i))
40             </code>
41         </para>
42     </refsection>
43     <refsection>
44         <title>サンプル</title>
45         <scilab:image>
46             x=-30:0.1:30;
47             plot(x,acot(x))
48         </scilab:image>
49     </refsection>
50     <refsection>
51         <title>例</title>
52         <programlisting role="example"><![CDATA[
53 x=[1 2 -2 sqrt(2) -sqrt(2) 2/sqrt(3) -2/sqrt(3) -1];
54 acot(x)/%pi
55  ]]></programlisting>
56     </refsection>
57     <refsection role="see also">
58         <title>参考</title>
59         <simplelist type="inline">
60             <member>
61                 <link linkend="acotd">acotd</link>
62             </member>
63             <member>
64                 <link linkend="cotg">cotg</link>
65             </member>
66             <member>
67                 <link linkend="cotd">cotd</link>
68             </member>
69             <member>
70                 <link linkend="csgn">csgn</link>
71             </member>
72             <member>
73                 <link linkend="acoth">acoth</link>
74             </member>
75             <member>
76                 <link linkend="atan">atan</link>
77             </member>
78         </simplelist>
79     </refsection>
80     <refsection>
81         <title>参考文献</title>
82         <simplelist type="vert">
83             <member>Kahan, W., "Branch cuts for complex elementary functions, or,
84                 Much ado about nothing's sign bit", Proceedings of the joing IMA/SIAM
85                 conference on The State of the Art in Numerical Analysis, University of
86                 Birmingham, A. Iserles and M.J.D. Powell, eds, Clarendon Press, Oxford,
87                 1987, 165-210.
88             </member>
89         </simplelist>
90     </refsection>
91 </refentry>