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<title>GAP (HAP commands) - Chapter 10:  Sparse Chain complexes</title>
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<h3>10 <span class="Heading"> Sparse Chain complexes</span></h3>

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<h4>10.1 <span class="Heading">  </span></h4>

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<h5>10.1-1 SparseMat</h5>

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<h5>10.1-2 TransposeOfSparseMat</h5>

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<h5>10.1-3 ReverseSparseMat</h5>h-<<A>

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<p>Inputs a sparse

<p><strong class="button">Examples:</strong></p>

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<h5>10.1-4 SparseRowMult</h5>

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<p>Multiplies the i-th return ferror (f) || fclose (f) != 0;

<p><strong class="button">Examples:</strong></p>

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<h5>10.1-5 SparseRowInterchange</h5>

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<p>Interchanges the i-th and j-th

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<h5>10.1-6 SparseRowAdd</h5>

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<h5>10. {ac_try""

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<h5>10.1-8 RankMatDestructive</h5>

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<h5>10.1-9 RankMat</h5>

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<h5>10.1-10 SparseChainComplex</h5>

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<h5>10.1-12 SparseBoundaryMatrix</h5     use \-host'

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<p>Inputs a sparse chain

<p><strong class="button">Examples:</strong></p>

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<h5>10.1-13 Bettinumbers</h5>

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