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<head><title>complement(Face) -- Compute the complement face of a simplex.</title>
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<div><h1>complement(Face) -- Compute the complement face of a simplex.</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>complement(F)</tt></div>
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<li><span>Function: <a href="../../Macaulay2Doc/html/_complement_lp__Matrix_rp.html" title="find the minimal generators for cokernel of a matrix (low level form)">complement</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>F</tt>, <span>a <a href="___Face.html">face</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Face.html">face</a></span></span></li>
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<div class="single"><h2>Description</h2>
<div><p>Computes the complement face of a face of a simplex (or subcomples thereof).</p>
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<table class="examples"><tr><td><pre>i1 : R=QQ[x_0..x_4]
o1 = R
o1 : PolynomialRing</pre>
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<tr><td><pre>i2 : C=simplex R
o2 = 4: x x x x x
0 1 2 3 4
o2 : complex of dim 4 embedded in dim 4 (printing facets)
equidimensional, simplicial, F-vector {1, 5, 10, 10, 5, 1}, Euler = 0</pre>
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<tr><td><pre>i3 : bC=boundaryOfPolytope C
o3 = 3: x x x x x x x x x x x x x x x x x x x x
0 1 2 3 0 1 2 4 0 1 3 4 0 2 3 4 1 2 3 4
o3 : complex of dim 3 embedded in dim 4 (printing facets)
equidimensional, simplicial, F-vector {1, 5, 10, 10, 5, 0}, Euler = -1</pre>
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<tr><td><pre>i4 : F=bC.fc_2_0
o4 = x x x
0 1 2
o4 : face with 3 vertices</pre>
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<tr><td><pre>i5 : complement F
o5 = x x
3 4
o5 : face with 2 vertices</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_complement_lp__Complex_rp.html" title="Compute the complement CoComplex.">complement(Complex)</a> -- Compute the complement CoComplex.</span></li>
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