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Macaulay2-1.3.1-8.fc15.i686.rpm

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<head><title>ChainComplex Array -- degree shift</title>
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<div><h1>ChainComplex Array -- degree shift</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>D = C[i]</tt></div>
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<li><span>Operator: <a href="___S__P__A__C__E.html" title="blank operator; often used for function application, making polynomial rings">SPACE</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>C</tt>, <span>a <a href="___Chain__Complex.html">chain complex</a></span>, </span></li>
<li><span><tt>i</tt>, <span>an <a href="___Array.html">array</a></span>, an array <tt>[i]</tt> containing an integer <tt>i</tt></span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>D</tt>, <span>a <a href="___Chain__Complex.html">chain complex</a></span>, a new chain complex <tt>D</tt> in which <tt>D_j</tt> is <tt>C_(i+j)</tt>.  The signs of the differentials are reversed if <tt>i</tt> is odd.</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = QQ[x..z];</pre>
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<tr><td><pre>i2 : C = res coker vars R

      1      3      3      1
o2 = R  &lt;-- R  &lt;-- R  &lt;-- R  &lt;-- 0
                                  
     0      1      2      3      4

o2 : ChainComplex</pre>
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<tr><td><pre>i3 : C[3]

      1      3      3      1
o3 = R  &lt;-- R  &lt;-- R  &lt;-- R  &lt;-- 0
                                  
     -3     -2     -1     0      1

o3 : ChainComplex</pre>
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