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<head><title>Tally ^** ZZ -- Cartesian power of sets and tallies</title>
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<div><h1>Tally ^** ZZ -- Cartesian power of sets and tallies</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>B = A^**n</tt></div>
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<li><span>Operator: <a href="_^_st_st.html" title="a binary operator, usually used for tensor or Cartesian power">^**</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>A</tt>, <span>a <a href="___Tally.html">tally</a></span></span></li>
<li><span><tt>n</tt>, <span>an <a href="___Z__Z.html">integer</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>B</tt>, <span>a <a href="___Tally.html">tally</a></span>, the tally of <tt>n</tt>-tuples of elements from <tt>A</tt></span></li>
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<div class="single"><h2>Description</h2>
<div>If <tt>A</tt> is <span>a <a href="___Set.html">set</a></span>, then so is <tt>B</tt>.<table class="examples"><tr><td><pre>i1 : A = set {1,2}
o1 = set {1, 2}
o1 : Set</pre>
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<tr><td><pre>i2 : A^**3
o2 = set {(1, 1, 1), (1, 1, 2), (1, 2, 1), (1, 2, 2), (2, 1, 1), (2, 1, 2),
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(2, 2, 1), (2, 2, 2)}
o2 : Set</pre>
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<tr><td><pre>i3 : A = tally {1,1,2}
o3 = Tally{1 => 2}
2 => 1
o3 : Tally</pre>
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<tr><td><pre>i4 : A^**3
o4 = Tally{(1, 1, 1) => 8}
(1, 1, 2) => 4
(1, 2, 1) => 4
(1, 2, 2) => 2
(2, 1, 1) => 4
(2, 1, 2) => 2
(2, 2, 1) => 2
(2, 2, 2) => 1
o4 : Tally</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="___Set.html" title="the class of all sets">Set</a> -- the class of all sets</span></li>
<li><span><a href="___Set_sp_st_st_sp__Set.html" title="Cartesian product">Set ** Set</a> -- Cartesian product</span></li>
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