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Macaulay2-1.3.1-8.fc15.i686.rpm

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<head><title>permutations -- produce all permutations of a list</title>
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<div><h1>permutations -- produce all permutations of a list</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>permutations x</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>x</tt>, <span>a <a href="___Visible__List.html">visible list</a></span> or <span>an <a href="___Z__Z.html">integer</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span>a list of all the permutations of the visible list <tt>x</tt>, or, if <tt>x</tt> is an integer, of the list of integers from 0 through <tt>n-1</tt></span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : permutations {a,b,c,d}

o1 = {{a, b, c, d}, {a, b, d, c}, {a, c, b, d}, {a, c, d, b}, {a, d, b, c},
     ------------------------------------------------------------------------
     {a, d, c, b}, {b, a, c, d}, {b, a, d, c}, {b, c, a, d}, {b, c, d, a},
     ------------------------------------------------------------------------
     {b, d, a, c}, {b, d, c, a}, {c, a, b, d}, {c, a, d, b}, {c, b, a, d},
     ------------------------------------------------------------------------
     {c, b, d, a}, {c, d, a, b}, {c, d, b, a}, {d, a, b, c}, {d, a, c, b},
     ------------------------------------------------------------------------
     {d, b, a, c}, {d, b, c, a}, {d, c, a, b}, {d, c, b, a}}

o1 : List</pre>
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<tr><td><pre>i2 : permutations 3

o2 = {{0, 1, 2}, {0, 2, 1}, {1, 0, 2}, {1, 2, 0}, {2, 0, 1}, {2, 1, 0}}

o2 : List</pre>
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<div class="waystouse"><h2>Ways to use <tt>permutations</tt> :</h2>
<ul><li>permutations(VisibleList)</li>
<li>permutations(ZZ)</li>
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