File: empty.xml

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<?xml version="1.0" encoding="UTF-8"?>
<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" version="5.0-subset Scilab" xml:lang="fr" xml:id="empty">
  <info>
    <pubdate>$LastChangedDate$</pubdate>
  </info>
  <refnamediv>
    <refname>empty ([])</refname>
    <refpurpose> matrice vide  </refpurpose>
  </refnamediv>
  <refsection>
    <title>Description</title>
    <para><literal> [] </literal> désigne une matrice vide. Elle est définie de façon unique et possède
    0 lignes et 0 colonnes, soit <literal> size([]) =[0,0] </literal>.
    Les convention suivantes sont adoptées :
  </para>
    <para>
      <literal> [] * A = A * [] = [] </literal>
    </para>
    <para>
      <literal> [] + A = A + [] = A </literal>
    </para>
    <para>
    [ [], A] = [A, []] = A
    <literal> inv([]) =[] </literal>
  </para>
    <para>
      <literal> det([])=cond([])=rcond([])=1, rank([])=0 </literal>
    </para>
    <para>
    Les fonctions matricielles renvoient <literal>[]</literal> ou un message d'erreur
    quand il n'y pas de réponse évidente. Les systèmes dynamiques linéaires 
    (listes de type <literal>syslin</literal>) peuvent avoir plusieurs lignes ou colonnes.
  </para>
  </refsection>
  <refsection>
    <title>Exemples</title>
    <programlisting role="example"><![CDATA[ 
s=poly(0,'s'); A = [s, s+1]; 
A+[], A*[]
A=rand(2,2); AA=A([],1), size(AA)
svd([])
w=ssrand(2,2,2); wr=[]*w; size(wr), w1=ss2tf(wr), size(w1)
 ]]></programlisting>
  </refsection>
  <refsection>
    <title>Voir Aussi</title>
    <simplelist type="inline">
      <member>
        <link linkend="matrices">matrices</link>
      </member>
      <member>
        <link linkend="poly">poly</link>
      </member>
      <member>
        <link linkend="string">string</link>
      </member>
      <member>
        <link linkend="boolean">boolean</link>
      </member>
      <member>
        <link linkend="rational">rational</link>
      </member>
      <member>
        <link linkend="syslin">syslin</link>
      </member>
    </simplelist>
  </refsection>
</refentry>