scilab/modules/polynomials/help/pt_BR/poly.xml

   1 <?xml version="1.0" encoding="ISO-8859-1"?>
   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: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="poly" xml:lang="en">
   3     <refnamediv>
   4         <refname>poly</refname>
   5         <refpurpose>definição de polinômios</refpurpose>
   6     </refnamediv>
   7     <refsynopsisdiv>
   8         <title>Seqüência de Chamamento</title>
   9         <synopsis>p=poly(a,x, ["flag"])</synopsis>
  10     </refsynopsisdiv>
  11     <refsection>
  12         <title>Parâmetros</title>
  13         <variablelist>
  14             <varlistentry>
  15                 <term>a</term>
  16                 <listitem>
  17                     <para>matriz ou número real </para>
  18                 </listitem>
  19             </varlistentry>
  20             <varlistentry>
  21                 <term>x</term>
  22                 <listitem>
  23                     <para>String, o nome da variável simbólica. Se o string tiver mais
  24                         de 4 caracteres, apenas os quatro primeiros serão levados em
  25                         conta.
  26                     </para>
  27                 </listitem>
  28             </varlistentry>
  29             <varlistentry>
  30                 <term>"flag"</term>
  31                 <listitem>
  32                     <para>string ("roots", "coeff"), valor padrão é "roots".</para>
  33                 </listitem>
  34             </varlistentry>
  35         </variablelist>
  36     </refsection>
  37     <refsection>
  38         <title>Descrição</title>
  39         <variablelist>
  40             <varlistentry>
  41                 <term>Se a é uma matriz,</term>
  42                 <listitem>
  43                     <para>
  44                         <literal>p</literal> é o polinômio característico, i.e.,
  45                         <literal>determinant(x*eye()-a)</literal>, <literal>x</literal>
  46                         sendo a variável simbólica.
  47                     </para>
  48                 </listitem>
  49             </varlistentry>
  50             <varlistentry>
  51                 <term>Se v é um vetor,</term>
  52                 <listitem>
  53                     <itemizedlist>
  54                         <listitem>
  55                             <para>
  56                                 <literal>poly(v,"x",["roots"])</literal> é o polinômio com
  57                                 entradas de <literal>v</literal> como raízes e
  58                                 <literal>"x"</literal> como variável formal (neste caso,
  59                                 <literal>roots</literal> e <literal>poly</literal> são funções
  60                                 inversas). Note que infinitas raízes fornecem zero coeficientes
  61                                 de grau mais elevado.
  62                             </para>
  63                         </listitem>
  64                         <listitem>
  65                             <para>
  66                                 <literal>poly(v,"x","coeff")</literal> cria o polinômio
  67                                 com símbolo <literal>"x"</literal> e com entradas de
  68                                 <literal>v</literal> como coeficientes (v(1) é o termo constante
  69                                 do polinômio). (aqui <literal>poly</literal> e
  70                                 <literal>coeff</literal> são funções inversas).
  71                             </para>
  72                         </listitem>
  73                     </itemizedlist>
  74                 </listitem>
  75             </varlistentry>
  76         </variablelist>
  77         <para>
  78             <literal>s=poly(0,"s")</literal> é a fonte para definir polinômios
  79             com símbolo <literal>"s"</literal>.
  80         </para>
  81     </refsection>
  82     <refsection>
  83         <title>Exemplos</title>
  84         <programlisting role="example"><![CDATA[
  85 s=poly(0,"s");
  86 p=1+s+2*s^2
  87 A=rand(2,2);
  88 poly(A,"x")
  89 //frações racionais
  90 h=(1+2*%s)/poly(1:4,'s','c')
  91  ]]></programlisting>
  92     </refsection>
  93     <refsection role="see also">
  94         <title>See Also</title>
  95         <simplelist type="inline">
  96             <member>
  97                 <link linkend="coeff">coeff</link>
  98             </member>
  99             <member>
 100                 <link linkend="roots">roots</link>
 101             </member>
 102             <member>
 103                 <link linkend="varn">varn</link>
 104             </member>
 105             <member>
 106                 <link linkend="horner">horner</link>
 107             </member>
 108             <member>
 109                 <link linkend="derivat">derivat</link>
 110             </member>
 111             <member>
 112                 <link linkend="matrices">matrices</link>
 113             </member>
 114             <member>
 115                 <link linkend="rational">rational</link>
 116             </member>
 117         </simplelist>
 118     </refsection>
 119 </refentry>