scilab/modules/polynomials/help/ja_JP/poly.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" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:lang="ja" xml:id="poly">
   3     <refnamediv>
   4         <refname>poly</refname>
   5         <refpurpose>多項式を定義する</refpurpose>
   6     </refnamediv>
   7     <refsynopsisdiv>
   8         <title>呼び出し手順</title>
   9         <synopsis>p=poly(a,vname, ["flag"])</synopsis>
  10     </refsynopsisdiv>
  11     <refsection>
  12         <title>パラメータ</title>
  13         <variablelist>
  14             <varlistentry>
  15                 <term>a</term>
  16                 <listitem>
  17                     <para>行列または実数値</para>
  18                 </listitem>
  19             </varlistentry>
  20             <varlistentry>
  21                 <term>vname</term>
  22                 <listitem>
  23                     <para>文字列, 記号変数を表します. 文字列が4文字以上の場合,
  24                         最初の4文字のみが使用されます.
  25                     </para>
  26                 </listitem>
  27             </varlistentry>
  28             <varlistentry>
  29                 <term>"flag"  </term>
  30                 <listitem>
  31                     <para>文字列 ("roots", "coeff"), デフォルト値は
  32                         "roots"です.
  33                     </para>
  34                 </listitem>
  35             </varlistentry>
  36         </variablelist>
  37     </refsection>
  38     <refsection>
  39         <title>説明</title>
  40         <variablelist>
  41             <varlistentry>
  42                 <term>a が行列の場合,</term>
  43                 <listitem>
  44                     <para>
  45                         <literal>p</literal> は特性多項式,すなわち
  46                         <literal>determinant(x*eye()-a)</literal>となり, <literal>x</literal>が
  47                         記号変数となります.
  48                     </para>
  49                 </listitem>
  50             </varlistentry>
  51             <varlistentry>
  52                 <term>v がベクトルの場合,</term>
  53                 <listitem>
  54                     <itemizedlist>
  55                         <listitem>
  56                             <para>
  57                                 <literal>poly(v,"x",["roots"])</literal>  は
  58                                 <literal>v</literal>のエントリを<literal>根(roots)</literal>とし,
  59                                 <literal>"x"</literal>を形式変数とする多項式となります
  60                                 (この場合,<literal>roots</literal>と<literal>poly</literal>は逆関数となります).
  61                                 根が無限大の場合,最高次の係数がゼロになることに注意してください.
  62                             </para>
  63                         </listitem>
  64                         <listitem>
  65                             <para>
  66                                 <literal>poly(v,"x","coeff")</literal> は記号を<literal>"x"</literal>
  67                                 とし,<literal>v</literal>のエントリを係数とする多項式を作成します
  68                                 (v(1)が多項式の定数項となります).
  69                                 (この場合, <literal>poly</literal> と <literal>coeff</literal> が逆関数となります)
  70                             </para>
  71                         </listitem>
  72                     </itemizedlist>
  73                 </listitem>
  74             </varlistentry>
  75         </variablelist>
  76         <para>
  77             <literal>s=poly(0,"s")</literal> は記号<literal>"s"</literal>を
  78             用いた多項式を定義するための準備作業です.
  79         </para>
  80     </refsection>
  81     <refsection>
  82         <title>例</title>
  83         <programlisting role="example"><![CDATA[
  84 s=poly(0,"s");
  85 p=1+s+2*s^2
  86 A=rand(2,2);
  87 poly(A,"x")
  88 //rational fractions
  89 h=(1+2*%s)/poly(1:4,'s','c')
  90  ]]></programlisting>
  91     </refsection>
  92     <refsection role="see also">
  93         <title>参照</title>
  94         <simplelist type="inline">
  95             <member>
  96                 <link linkend="coeff">coeff</link>
  97             </member>
  98             <member>
  99                 <link linkend="roots">roots</link>
 100             </member>
 101             <member>
 102                 <link linkend="varn">varn</link>
 103             </member>
 104             <member>
 105                 <link linkend="horner">horner</link>
 106             </member>
 107             <member>
 108                 <link linkend="derivat">derivat</link>
 109             </member>
 110             <member>
 111                 <link linkend="matrices">matrices</link>
 112             </member>
 113             <member>
 114                 <link linkend="rational">rational</link>
 115             </member>
 116         </simplelist>
 117     </refsection>
 118 </refentry>