File: hat.xml

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<?xml version="1.0" encoding="ISO-8859-1"?>
<!--
 * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
 * Copyright (C) {date_debut_1}-{date_fin_1} - {organisme 1} {auteur 1} 
 * Copyright (C) {date_debut_2}-{date_fin_2} - {organisme 2} {auteur 2}
 * ...
 * 
 * This file must be used under the terms of the CeCILL.
 * This source file is licensed as described in the file COPYING, which
 * you should have received as part of this distribution.  The terms
 * are also available at    
 * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
 *
 -->
<refentry version="5.0-subset Scilab" xml:id="hat" xml:lang="en"
          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">
  <info>
    <pubdate>$LastChangedDate$</pubdate>
  </info>

  <refnamediv>
    <refname>hat</refname>

    <refpurpose>(^) exponentiation</refpurpose>
  </refnamediv>

  <refsynopsisdiv>
    <title>Seqncia de Chamamento</title>

    <synopsis>A^b</synopsis>
  </refsynopsisdiv>

  <refsection>
    <title>Descrio</title>

    <para>Exponenciao de matrizes ou vetores por um vetor constante.</para>

    <para>Se <literal>A</literal>  um vetor ou uma matriz retangular, a
    exponenciao  feita elemento a elemento no sentido usual.</para>

    <para>Para matrizes quadradas, a exponenciao  feita no sentido
    matricial.</para>

    <para>Para matrizes de booleanos, polinmios ou razes de polinmios, o
    expoente deve ser um inteiro</para>

    <refsection>
      <title>Observaes</title>

      <para><literal>123.^b</literal>  interpretado como<literal>
      (123).^b</literal>. Em tais casos, o ponto  parte do operador, no do
      nmero.</para>

      <para>Para dois nmeros reais ou complexos <literal>x1</literal> e
      <literal>x2</literal> , o valor de <literal>x1^x2</literal>  o "valor
      principal" determinado por <literal>x1^x2 =
      exp(x2*log(x1))</literal>.</para>
    </refsection>
  </refsection>

  <refsection>
    <title>Exemplos</title>

    <programlisting role="example"><![CDATA[ 
2^4
(-0.5)^(1/3)
[1 2;2 4]^(1+%i)
s=poly(0,"s");
[1 2 s]^4
[s 1;1  s]^(-1)
 ]]></programlisting>
  </refsection>

  <refsection>
    <title> Ver Tambm </title>

    <simplelist type="inline">
      <member><link linkend="exp">exp</link></member>

      <member><link linkend="inv">inv</link></member>
    </simplelist>
  </refsection>
</refentry>