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<head><title>pureBettiDiagram(List) -- pure Betti diagram given a list of degrees</title>
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<div><h1>pureBettiDiagram(List) -- pure Betti diagram given a list of degrees</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>pureBettiDiagram L</tt></div>
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<li><span>Function: <a href="_pure__Betti__Diagram_lp__List_rp.html" title="pure Betti diagram given a list of degrees">pureBettiDiagram</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>L</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, of strictly increasing integers</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Betti__Tally.html">Betti tally</a></span>, containing the minimal integral Betti numbers which satisfy the Herzog-Kuhl equations</span></li>
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<div class="single"><h2>Description</h2>
<div>See <a href="_pure__Betti_lp__List_rp.html" title="list of smallest integral Betti numbers corresponding to a degree sequence">pureBetti</a> for a description of the Herzog-Kuhl equations.<table class="examples"><tr><td><pre>i1 : pureBettiDiagram{0,2,4,5}
0 1 2 3
o1 = total: 3 10 15 8
0: 3 . . .
1: . 10 . .
2: . . 15 8
o1 : BettiTally</pre>
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<tr><td><pre>i2 : pureBettiDiagram{0,3,4,5,6,7,10}
0 1 2 3 4 5 6
o2 = total: 1 50 175 252 175 50 1
0: 1 . . . . . .
1: . . . . . . .
2: . 50 175 252 175 50 .
3: . . . . . . .
4: . . . . . . 1
o2 : BettiTally</pre>
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<tr><td><pre>i3 : pureBettiDiagram{0,3,4,5,6,7,8,11}
0 1 2 3 4 5 6 7
o3 = total: 1 77 330 616 616 330 77 1
0: 1 . . . . . . .
1: . . . . . . . .
2: . 77 330 616 616 330 77 .
3: . . . . . . . .
4: . . . . . . . 1
o3 : BettiTally</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_pure__Betti_lp__List_rp.html" title="list of smallest integral Betti numbers corresponding to a degree sequence">pureBetti</a> -- list of smallest integral Betti numbers corresponding to a degree sequence</span></li>
<li><span><a href="../../Macaulay2Doc/html/_betti.html" title="display degrees">betti</a> -- display degrees</span></li>
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