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<head><title>randomArrangement -- generate an arrangement at random</title>
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<div><h1>randomArrangement -- generate an arrangement at random</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>randomArrangement(n,l,N)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>n</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, number of hyperplanes</span></li>
<li><span><tt>l</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, dimension of ambient space</span></li>
<li><span><tt>N</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, absolute value of upper bound on coefficients</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Arrangement.html">hyperplane arrangement</a></span>, a random, rational arrangement of <tt>n</tt> hyperplanes in <tt>l</tt> variables.</span></li>
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<div class="single"><h2>Description</h2>
<div>As <tt>N</tt> increases, the random arrangement is a generic arrangement with probability tending to 1.<table class="examples"><tr><td><pre>i1 : randomArrangement(4,3,5)
o1 = {4x - 2x + x , - 2x - x - 3x , - 4x - 4x + 5x , 3x + 5x }
1 2 3 1 2 3 1 2 3 1 2
o1 : Hyperplane Arrangement </pre>
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<tr><td><pre>i2 : tally apply(12, i -> poincare randomArrangement(6,3,5))
2 3
o2 = Tally{1 + 6T + 15T + 10T => 10}
2 3
1 + 6T + 14T + 9T => 2
o2 : Tally</pre>
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<div class="waystouse"><h2>Ways to use <tt>randomArrangement</tt> :</h2>
<ul><li>randomArrangement(ZZ,ZZ,ZZ)</li>
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