- <?xml version="1.0" encoding="UTF-8"?>
- <!--
+<?xml version="1.0" encoding="UTF-8"?>
+<!--
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) INRIA
*
* 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
+ * http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
*
-->
- <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" xmlns:scilab="http://www.scilab.org" xml:lang="en" xml:id="hat">
- <refnamediv>
- <refname>hat</refname>
- <refpurpose>(^) exponentiation</refpurpose>
- </refnamediv>
- <refsynopsisdiv>
- <title>Calling Sequence</title>
- <synopsis>A^b</synopsis>
- </refsynopsisdiv>
+<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" xmlns:scilab="http://www.scilab.org" xml:lang="en" xml:id="hat">
+ <refnamediv>
+ <refname>hat</refname>
+ <refpurpose>(^) exponentiation</refpurpose>
+ </refnamediv>
+ <refsynopsisdiv>
+ <title>Calling Sequence</title>
+ <synopsis>A^b</synopsis>
+ </refsynopsisdiv>
+ <refsection>
+ <title>Description</title>
+ <para>
+ Exponentiation of matrices or vectors by a constant vector.
+ </para>
+ <para>
+ If <literal>A</literal> is a vector or a rectangular matrix the exponentiation is done
+ element-wise, with the usual meaning.
+ </para>
+ <para>
+ For square <literal>A</literal> matrix the exponentiation is done in the matrix sense.
+ </para>
+ <para>
+ For boolean, polynomial and rational matrices, the exponent must be an
+ integer.
+ </para>
<refsection>
- <title>Description</title>
+ <title>Remarks </title>
<para>
- Exponentiation of matrices or vectors by a constant vector.
+ <literal>123.^b</literal> is interpreted as <literal>(123).^b</literal>. In such
+ cases dot is part of the operator, not of the number.
</para>
<para>
- If <literal>A</literal> is a vector or a rectangular matrix the exponentiation is done
- element-wise, with the usual meaning.
+ For two real or complex numbers <literal>x1</literal> and
+ <literal>x2</literal> the value of <literal>x1^x2</literal> is the "principal value"
+ determined by <literal>x1^x2 = exp(x2*log(x1))</literal>.
</para>
<para>
- For square <literal>A</literal> matrix the exponentiation is done in the matrix sense.
+ <warning>
+ Exponentiation is right-associative in Scilab contrarily to Matlab® and Octave. For example 2^3^4 is equal to 2^(3^4) in Scilab but is equal to (2^3)^4 in Matlab® and Octave.
+ </warning>
</para>
- <para>
- For boolean, polynomial and rational matrices, the exponent must be an
- integer.
- </para>
- <refsection>
- <title>Remarks </title>
- <para>
- <literal>123.^b</literal> is interpreted as <literal>(123).^b</literal>. In such
- cases dot is part of the operator, not of the number.
- </para>
- <para>
- For two real or complex numbers <literal>x1</literal> and
- <literal>x2</literal> the value of <literal>x1^x2</literal> is the "principal value"
- determined by <literal>x1^x2 = exp(x2*log(x1))</literal>.
- </para>
- </refsection>
</refsection>
- <refsection>
- <title>Examples</title>
- <programlisting role="example"><![CDATA[
+ </refsection>
+ <refsection>
+ <title>Examples</title>
+ <programlisting role="example"><![CDATA[
2^4
(-0.5)^(1/3)
[1 2;2 4]^(1+%i)
[1 2 s]^4
[s 1;1 s]^(-1)
]]></programlisting>
- </refsection>
- <refsection role="see also">
- <title>See Also</title>
- <simplelist type="inline">
- <member>
- <link linkend="exp">exp</link>
- </member>
- <member>
- <link linkend="log">log</link>
- </member>
- </simplelist>
- </refsection>
- </refentry>
+ </refsection>
+ <refsection role="see also">
+ <title>See Also</title>
+ <simplelist type="inline">
+ <member>
+ <link linkend="exp">exp</link>
+ </member>
+ <member>
+ <link linkend="log">log</link>
+ </member>
+ </simplelist>
+ </refsection>
+</refentry>