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<title>GNU Scientific Library &ndash; Reference Manual: Multisets</title>

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<a name="Multisets"></a>
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<p>
Next: <a href="Sorting.html#Sorting" accesskey="n" rel="next">Sorting</a>, Previous: <a href="Combinations.html#Combinations" accesskey="p" rel="previous">Combinations</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Multisets-1"></a>
<h2 class="chapter">11 Multisets</h2>
<a name="index-multisets"></a>

<p>This chapter describes functions for creating and manipulating multisets. A
multiset <em>c</em> is represented by an array of <em>k</em> integers in the range
0 to <em>n-1</em>, where each value <em>c_i</em> may occur more than once.  The
multiset <em>c</em> corresponds to indices of <em>k</em> elements chosen from an
<em>n</em> element vector with replacement.  In mathematical terms, <em>n</em> is
the cardinality of the multiset while <em>k</em> is the maximum multiplicity of
any value.  Multisets are useful, for example, when iterating over the indices
of a <em>k</em>-th order symmetric tensor in <em>n</em>-space.
</p>
<p>The functions described in this chapter are defined in the header file
<samp>gsl_multiset.h</samp>.
</p>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top">&bull; <a href="The-Multiset-struct.html#The-Multiset-struct" accesskey="1">The Multiset struct</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Multiset-allocation.html#Multiset-allocation" accesskey="2">Multiset allocation</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Accessing-multiset-elements.html#Accessing-multiset-elements" accesskey="3">Accessing multiset elements</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Multiset-properties.html#Multiset-properties" accesskey="4">Multiset properties</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Multiset-functions.html#Multiset-functions" accesskey="5">Multiset functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Reading-and-writing-multisets.html#Reading-and-writing-multisets" accesskey="6">Reading and writing multisets</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Multiset-Examples.html#Multiset-Examples" accesskey="7">Multiset Examples</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
</table>




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