scilab/modules/differential_equations/help/ja_JP/intsplin.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="intsplin" xml:lang="ja">
   4
   5     <refnamediv>
   6
   7         <refname>intsplin</refname>
   8
   9         <refpurpose>スプライン補間による実験データの積分</refpurpose>
  10
  11     </refnamediv>
  12
  13     <refsynopsisdiv>
  14
  15         <title>呼び出し手順</title>
  16         <synopsis>
  17           v = intsplin(y)
  18           v = intsplin(x, y)
  19         </synopsis>
  20     </refsynopsisdiv>
  21
  22     <refsection>
  23
  24         <title>引数</title>
  25
  26         <variablelist>
  27
  28             <varlistentry>
  29
  30                 <term>x</term>
  31
  32                 <listitem>
  33
  34                     <para>
  35
  36                         単調増加の<literal>x</literal>座標データベクトル.
  37
  38                         デフォルト値は
  39
  40                         <literal>1:size(y,'*')</literal>
  41
  42                     </para>
  43
  44                 </listitem>
  45
  46             </varlistentry>
  47
  48             <varlistentry>
  49
  50                 <term>y</term>
  51
  52                 <listitem>
  53
  54                     <para>
  55
  56                         <literal>y</literal>座標データのベクトル
  57
  58                     </para>
  59
  60                 </listitem>
  61
  62             </varlistentry>
  63
  64             <varlistentry>
  65
  66                 <term>v</term>
  67
  68                 <listitem>
  69
  70                     <para>積分値</para>
  71
  72                 </listitem>
  73
  74             </varlistentry>
  75
  76         </variablelist>
  77
  78     </refsection>
  79
  80     <refsection>
  81
  82         <title>説明</title>
  83
  84         <para>計算 :</para>
  85
  86         <para>
  87
  88             ただし,<literal>f</literal>は一連の実験値により記述される関数です:
  89
  90         </para>
  91
  92         <para>
  93
  94             <literal>y(i)=f(x(i))</literal> および <literal>x0=x(1)</literal>,
  95
  96             <literal>x1=x(n)</literal>
  97
  98         </para>
  99
 100         <para>メッシュ点の間で,関数はsplineにより補間されます.</para>
 101
 102     </refsection>
 103
 104     <refsection>
 105
 106         <title>例</title>
 107
 108         <programlisting role="example"><![CDATA[
 109 t = 0:0.1:%pi
 110 intsplin(t,sin(t))
 111
 112 intsplin(1:5)            // 12
 113
 114 x = 0:0.1:0.4;
 115 intsplin(x, 1:5)         // 1.2
 116
 117 intsplin((1:5)*%i)       // 12i
 118 intsplin(x, (1:5)*%i)    // 1.2i
 119 intsplin(x, x+(1:5)*%i)  // 0.08 + 1.2i
 120  ]]></programlisting>
 121
 122     </refsection>
 123
 124     <refsection role="see also">
 125
 126         <title>参照</title>
 127
 128         <simplelist type="inline">
 129
 130             <member>
 131
 132                 <link linkend="intg">intg</link>
 133
 134             </member>
 135
 136             <member>
 137
 138                 <link linkend="integrate">integrate</link>
 139
 140             </member>
 141
 142             <member>
 143
 144                 <link linkend="inttrap">inttrap</link>
 145
 146             </member>
 147
 148             <member>
 149
 150                 <link linkend="splin">splin</link>
 151
 152             </member>
 153
 154         </simplelist>
 155
 156     </refsection>
 157
 158 </refentry>
 159