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<title>GNU Scientific Library – Reference Manual: Multisets</title>
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<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.
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<p>The functions described in this chapter are defined in the header file
<samp>gsl_multiset.h</samp>.
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<tr><td align="left" valign="top">• <a href="The-Multiset-struct.html#The-Multiset-struct" accesskey="1">The Multiset struct</a>:</td><td> </td><td align="left" valign="top">
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<tr><td align="left" valign="top">• <a href="Accessing-multiset-elements.html#Accessing-multiset-elements" accesskey="3">Accessing multiset elements</a>:</td><td> </td><td align="left" valign="top">
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<tr><td align="left" valign="top">• <a href="Multiset-properties.html#Multiset-properties" accesskey="4">Multiset properties</a>:</td><td> </td><td align="left" valign="top">
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<tr><td align="left" valign="top">• <a href="Multiset-functions.html#Multiset-functions" accesskey="5">Multiset functions</a>:</td><td> </td><td align="left" valign="top">
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<tr><td align="left" valign="top">• <a href="Reading-and-writing-multisets.html#Reading-and-writing-multisets" accesskey="6">Reading and writing multisets</a>:</td><td> </td><td align="left" valign="top">
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<tr><td align="left" valign="top">• <a href="Multiset-Examples.html#Multiset-Examples" accesskey="7">Multiset Examples</a>:</td><td> </td><td align="left" valign="top">
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