scilab/modules/special_functions/help/pt_BR/gamma.xml

   1 <?xml version="1.0" encoding="UTF-8"?>
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   4  * Copyright (C) 2008 - INRIA
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   9  * pursuant to article 5.3.4 of the CeCILL v.2.1.
  10  * This file was originally licensed under the terms of the CeCILL v2.1,
  11  * and continues to be available under such terms.
  12  * For more information, see the COPYING file which you should have received
  13  * along with this program.
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  16 <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="gamma" xml:lang="pt">
  17     <refnamediv>
  18         <refname>gamma</refname>
  19         <refpurpose>função gama </refpurpose>
  20     </refnamediv>
  21     <refsynopsisdiv>
  22         <title>Seqüência de Chamamento</title>
  23         <synopsis>y = gamma(x)</synopsis>
  24     </refsynopsisdiv>
  25     <refsection>
  26         <title>Parâmetros</title>
  27         <variablelist>
  28             <varlistentry>
  29                 <term>x</term>
  30                 <listitem>
  31                     <para>
  32                        scalar, vector, matrix, or hypermatrix of real numbers.
  33                     </para>
  34                     <note>
  35                       <literal>gamma</literal> can be overloaded for complex numbers or
  36                       of lists, tlists or mlists.
  37                     </note>
  38                 </listitem>
  39             </varlistentry>
  40             <varlistentry>
  41                 <term>y</term>
  42                 <listitem>
  43                     <para>vetor ou matriz de reais ou complexos de mesmo tamanho que
  44                         x
  45                     </para>
  46                 </listitem>
  47             </varlistentry>
  48         </variablelist>
  49     </refsection>
  50     <refsection>
  51         <title>Descrição</title>
  52         <para>
  53             <literal>gamma(x)</literal> avalia a função gama em todos os
  54             elementos de <literal>x</literal>. A função gama é defininda por :
  55         </para>
  56         <programlisting role=""><![CDATA[
  57             /+oo
  58             |   x-1  -t
  59 gamma(x) =  |  t    e    dt
  60             /0
  61  ]]></programlisting>
  62         <para>e generaliza a função fatorial para os números reais
  63             (<literal>gamma(u+1) = u*gamma(u)</literal>).
  64         </para>
  65     </refsection>
  66     <refsection>
  67         <title>Exemplos</title>
  68         <programlisting role="example"><![CDATA[
  69 // exemplos simples
  70 gamma(0.5)
  71 gamma(6)-prod(1:5)
  72
  73 // o gráfico da função gama em [a,b]
  74 a = -3; b = 5;
  75 x = linspace(a,b,40000);
  76 y = gamma(x);
  77 clf()
  78 plot2d(x, y, style=0, axesflag=5, rect=[a, -10, b, 10])
  79 xtitle("A função gama em  ["+string(a)+","+string(b)+"]")
  80 show_window() ]]></programlisting>
  81     </refsection>
  82     <refsection role="see also">
  83         <title>Ver Também</title>
  84         <simplelist type="inline">
  85             <member>
  86                 <link linkend="gammaln">gammaln</link>
  87             </member>
  88             <member>
  89                 <link linkend="dlgamma">dlgamma</link>
  90             </member>
  91             <member>
  92                 <link linkend="factorial">factorial</link>
  93             </member>
  94         </simplelist>
  95     </refsection>
  96     <refsection>
  97         <title>Histórico</title>
  98         <revhistory>
  99             <revision>
 100                 <revnumber>5.4.0</revnumber>
 101                 <revremark>Overloading allowed for list, mlist, tlist and hypermatrix types.</revremark>
 102             </revision>
 103             <revision>
 104               <revnumber>6.0.2</revnumber>
 105               <revremark>
 106                 <itemizedlist>
 107                   <listitem>
 108                     The input can now be an hypermatrix.
 109                   </listitem>
 110                   <listitem>
 111                     <literal>gamma</literal> can now be overloaded for complex numbers.
 112                   </listitem>
 113                 </itemizedlist>
 114               </revremark>
 115             </revision>
 116         </revhistory>
 117     </refsection>
 118 </refentry>