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<head><title>markovRing -- ring of probability distributions on several discrete random variables</title>
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<div><h1>markovRing -- ring of probability distributions on several discrete random variables</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>markovRing(d1,d2,...,dr)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>di</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, Each d<sub>i</sub> should be a positive integer</span></li>
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<li><div class="single">Consequences:<ul><li><div>Information about this sequence of integers is placed into the ring, and is used by other functions in this package. Also, at most one ring for each such sequence is created: the results are cached.</div>
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<li><div class="single">Outputs:<ul><li><span><tt>R</tt>, <span>a <a href="../../Macaulay2Doc/html/___Ring.html">ring</a></span>, A polynomial ring with d1*d2*...*dr variables <i>p<sub>(i1,...,ir)</sub></i>, with each i<sub>j</sub> satisfying 1 <= i<sub>j</sub> <= d<sub>j</sub>.</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = markovRing(2,3,4,5);</pre>
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<tr><td><pre>i2 : numgens R
o2 = 120</pre>
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<tr><td><pre>i3 : R_0, R_1, R_119
o3 = (p , p , p )
1,1,1,1 1,1,1,2 2,3,4,5
o3 : Sequence</pre>
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<tr><td><pre>i4 : coefficientRing R
o4 = QQ
o4 : Ring</pre>
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<div class="single"><h2>Caveat</h2>
<div><div>Currently, the user has no choice about the names of the variables. Also, the base field is set to be QQ, without option of changing it. These will hopefully change in a later version.</div>
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