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  • Committer: Package Import Robot
  • Author(s): Sylvestre Ledru
  • Date: 2012-08-30 14:42:38 UTC
  • mfrom: (1.4.7)
  • Revision ID: package-import@ubuntu.com-20120830144238-c1y2og7dbm7m9nig
Tags: 5.4.0-beta-3-1~exp1
* New upstream release
* Update the scirenderer dep
* Get ride of libjhdf5-java dependency

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modules/elementary_functions/help/en_US/trigonometry/asech.xml
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 * Ajouter ici d'éventuels commentaires sur le fichier XML
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<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" version="5.0-subset Scilab" xml:id="asech" xml:lang="en">
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  <refnamediv>
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    <refname>asech</refname>
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    <refpurpose>computes the element-wise inverse hyperbolic secant of the
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      argument.
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    </refpurpose>
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  </refnamediv>
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  <refsynopsisdiv>
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    <title>Calling Sequence</title>
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    <synopsis>y = asech(x)</synopsis>
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  </refsynopsisdiv>
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  <refsection>
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    <title>Arguments</title>
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    <variablelist>
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      <varlistentry>
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        <term>x</term>
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        <listitem>
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          <para>Real or complex array.</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>y</term>
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        <listitem>
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          <para>Real or complex array.</para>
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        </listitem>
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      </varlistentry>
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    </variablelist>
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  </refsection>
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  <refsection>
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    <title>Description</title>
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    <para>Computes the element-wise inverse hyperbolic secant of the argument.
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      If the argument is real and have absolute value less than one the result
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      is real.
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    </para>
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    <para>
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      The following equalities hold: <literal>asech(x) = acosh(1 ./ x)=
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        %i*csgn(%i*(1−1 ./ x))*asec(x)=csgn(%i*(1 − 1 ./
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        x))*(%pi/2*(%i+acsch(%i*x)))
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      </literal>
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    </para>
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  </refsection>
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  <refsection>
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    <title>Examples</title>
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    <programlisting role="example"><![CDATA[ 
 
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    <refnamediv>
 
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        <refname>asech</refname>
 
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        <refpurpose>computes the element-wise inverse hyperbolic secant of the
 
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            argument.
 
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        </refpurpose>
 
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    </refnamediv>
 
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    <refsynopsisdiv>
 
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        <title>Calling Sequence</title>
 
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        <synopsis>y = asech(x)</synopsis>
 
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    </refsynopsisdiv>
 
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    <refsection>
 
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        <title>Arguments</title>
 
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        <variablelist>
 
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            <varlistentry>
 
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                <term>x</term>
 
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                <listitem>
 
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                    <para>Real or complex array.</para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>y</term>
 
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                <listitem>
 
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                    <para>Real or complex array.</para>
 
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                </listitem>
 
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            </varlistentry>
 
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        </variablelist>
 
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    </refsection>
 
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    <refsection>
 
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        <title>Description</title>
 
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        <para>Computes the element-wise inverse hyperbolic secant of the argument.
 
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            If the argument is real and have absolute value less than one the result
 
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            is real.
 
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        </para>
 
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        <para>
 
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            The following equalities hold: <literal>asech(x) = acosh(1 ./ x)=
 
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                %i*csgn(%i*(1−1 ./ x))*asec(x)=csgn(%i*(1 − 1 ./
 
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                x))*(%pi/2*(%i+acsch(%i*x)))
 
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            </literal>
 
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        </para>
 
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    </refsection>
 
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    <refsection>
 
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        <title>Examples</title>
 
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        <programlisting role="example"><![CDATA[ 
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asech(1)
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 ]]></programlisting>
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  </refsection>
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  <refsection role="see also">
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    <title>See Also</title>
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    <simplelist type="inline">
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      <member>
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        <link linkend="sech">sech</link>
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        <!--<link linkend="csgn" >csgn</link>-->
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      </member>
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    </simplelist>
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  </refsection>
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  <refsection>
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    <title>References</title>
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    <simplelist type="vert">
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      <member>Kahan, W., "Branch cuts for complex elementary functions, or,
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        Much ado about nothing's sign bit", Proceedings of the joing IMA/SIAM
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        conference on The State of the Art in Numerical Analysis, University of
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        Birmingham, A. Iserles and M.J.D. Powell, eds, Clarendon Press, Oxford,
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        1987, 165-210.
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      </member>
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    </simplelist>
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  </refsection>
 
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    </refsection>
 
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    <refsection role="see also">
 
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        <title>See Also</title>
 
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        <simplelist type="inline">
 
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            <member>
 
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                <link linkend="sech">sech</link>
 
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                <!--<link linkend="csgn" >csgn</link>-->
 
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            </member>
 
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        </simplelist>
 
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    </refsection>
 
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    <refsection>
 
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        <title>References</title>
 
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        <simplelist type="vert">
 
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            <member>Kahan, W., "Branch cuts for complex elementary functions, or,
 
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                Much ado about nothing's sign bit", Proceedings of the joing IMA/SIAM
 
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                conference on The State of the Art in Numerical Analysis, University of
 
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                Birmingham, A. Iserles and M.J.D. Powell, eds, Clarendon Press, Oxford,
 
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                1987, 165-210.
 
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            </member>
 
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        </simplelist>
 
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    </refsection>
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</refentry>