6984b1c4f6e123990bfbfabc367f43df63154d82
[scilab.git] / scilab / modules / special_functions / help / ja_JP / delip.xml
1 <?xml version="1.0" encoding="UTF-8"?>
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16 <!--  module: signal_processing  -->
17 <refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="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="delip" xml:lang="ja">
18     <refnamediv>
19         <refname>delip</refname>
20         <refpurpose>
21             第一種の完全および不完全楕円積分
22         </refpurpose>
23     </refnamediv>
24     <refsynopsisdiv>
25         <title>呼び出し手順</title>
26         <synopsis>[r]=delip(x,ck)</synopsis>
27     </refsynopsisdiv>
28     <refsection>
29         <title>パラメータ</title>
30         <variablelist>
31             <varlistentry>
32                 <term>x</term>
33                 <listitem>
34                     <para>非負の要素を有する実数ベクトル</para>
35                 </listitem>
36             </varlistentry>
37             <varlistentry>
38                 <term>ck</term>
39                 <listitem>
40                     <para>-1 と 1の間の実数</para>
41                 </listitem>
42             </varlistentry>
43             <varlistentry>
44                 <term>r</term>
45                 <listitem>
46                     <para>
47                         <literal>x</literal>と同じ大きさの
48                         実数または複素数(またはベクトル)
49                     </para>
50                 </listitem>
51             </varlistentry>
52         </variablelist>
53     </refsection>
54     <refsection>
55         <title>説明</title>
56         <para>
57             引数<literal>ck</literal>の
58             第一種の楕円積分は以下のように定義されます:
59         </para>
60         <para>
61             <inlinemediaobject>
62                 <imageobject>
63                     <imagedata align="center">
64                         <mml:math>
65                             <mml:semantics>
66                                 <mml:mrow>
67                                     <mml:munderover>
68                                         <mml:mo mml:stretchy="false">∫</mml:mo>
69                                         <mml:mn>0</mml:mn>
70                                         <mml:mi>x</mml:mi>
71                                     </mml:munderover>
72                                     <mml:mfrac>
73                                         <mml:mi mml:fontstyle="italic">dt</mml:mi>
74                                         <mml:msqrt>
75                                             <mml:mrow>
76                                                 <mml:mrow>
77                                                     <mml:mo mml:stretchy="false">(</mml:mo>
78                                                     <mml:mrow>
79                                                         <mml:mn>1</mml:mn>
80                                                         <mml:mo mml:stretchy="false">−</mml:mo>
81                                                         <mml:msup>
82                                                             <mml:mi>t</mml:mi>
83                                                             <mml:mn>2</mml:mn>
84                                                         </mml:msup>
85                                                     </mml:mrow>
86                                                     <mml:mo mml:stretchy="false">)</mml:mo>
87                                                 </mml:mrow>
88                                                 <mml:mrow>
89                                                     <mml:mo mml:stretchy="false">(</mml:mo>
90                                                     <mml:mrow>
91                                                         <mml:mrow>
92                                                             <mml:mn>1</mml:mn>
93                                                             <mml:mo mml:stretchy="false">−</mml:mo>
94                                                             <mml:msubsup>
95                                                                 <mml:mi>c</mml:mi>
96                                                                 <mml:mi>k</mml:mi>
97                                                                 <mml:mn>2</mml:mn>
98                                                             </mml:msubsup>
99                                                         </mml:mrow>
100                                                         <mml:msup>
101                                                             <mml:mi>t</mml:mi>
102                                                             <mml:mn>2</mml:mn>
103                                                         </mml:msup>
104                                                     </mml:mrow>
105                                                     <mml:mo mml:stretchy="false">)</mml:mo>
106                                                 </mml:mrow>
107                                             </mml:mrow>
108                                         </mml:msqrt>
109                                     </mml:mfrac>
110                                 </mml:mrow>
111                                 <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
112                                     (1-t^2)(1-c_k^2 t^2)}}
113                                 </mml:annotation>
114                             </mml:semantics>
115                         </mml:math>
116                     </imagedata>
117                 </imageobject>
118             </inlinemediaobject>
119         </para>
120         <para>
121             ただし, <literal>x</literal> は実数および正で,
122             <literal>ck</literal> は <literal>[-1 1]</literal>の範囲となります.
123         </para>
124         <para>x が1より小さい場合,結果は実数となります.</para>
125         <para>
126             <literal>x</literal>を指定して
127             コールされた場合,<literal>x</literal>の各エントリについて
128             ベクトル<literal>r</literal>が評価されます.
129         </para>
130     </refsection>
131     <refsection>
132         <title>例</title>
133         <programlisting role="example"><![CDATA[
134 ck=0.5;
135 delip([1,2],ck)
136 deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
137 intg(0,1,f)    //OK since real solution!
138  ]]></programlisting>
139     </refsection>
140     <refsection role="see also">
141         <title>参照</title>
142         <simplelist type="inline">
143             <member>
144                 <link linkend="amell">amell</link>
145             </member>
146             <member>
147                 <link linkend="ellipj">ellipj</link>
148             </member>
149             <member>
150                 <link linkend="percentsn">%sn</link>
151             </member>
152         </simplelist>
153     </refsection>
154 </refentry>