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Edit File: _sort__Columns.html

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    <title>sortColumns -- permutation giving sort order</title>
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o2 = | ad b2 b100 b50d50 c2d |

1      5
o2 : Matrix R  &lt;-- R</code></pre>
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              <pre><code class="language-macaulay2">i3 : p = sortColumns m

o3 = {4, 1, 3, 2, 0}

o3 : List</code></pre>
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              <pre><code class="language-macaulay2">i4 : m_p

o4 = | c2d b2 b50d50 b100 ad |

1      5
o4 : Matrix R  &lt;-- R</code></pre>
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              <pre><code class="language-macaulay2">i5 : p = sortColumns(m, DegreeOrder=>null, MonomialOrder=>Descending)

o5 = {0, 2, 3, 1, 4}

o5 : List</code></pre>
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              <pre><code class="language-macaulay2">i6 : m_p

o6 = | ad b100 b50d50 b2 c2d |

1      5
o6 : Matrix R  &lt;-- R</code></pre>
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              <pre><code class="language-macaulay2">i7 : R = ZZ/101[a..c];</code></pre>
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              <pre><code class="language-macaulay2">i8 : f = matrix{{1,a,a^2,b^2,b,c,c^2,a*b,b*c,a*c}}

o8 = | 1 a a2 b2 b c c2 ab bc ac |

1      10
o8 : Matrix R  &lt;-- R</code></pre>
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              <pre><code class="language-macaulay2">i9 : s = sortColumns f

o9 = {0, 5, 4, 1, 6, 8, 9, 3, 7, 2}

o9 : List</code></pre>
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              <pre><code class="language-macaulay2">i10 : f_s

o10 = | 1 c b a c2 bc ac b2 ab a2 |

1      10
o10 : Matrix R  &lt;-- R</code></pre>
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              <pre><code class="language-macaulay2">i11 : s = sortColumns(f,DegreeOrder => Descending)

o11 = {6, 8, 9, 3, 7, 2, 5, 4, 1, 0}

o11 : List</code></pre>
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              <pre><code class="language-macaulay2">i12 : f_s

o12 = | c2 bc ac b2 ab a2 c b a 1 |

1      10
o12 : Matrix R  &lt;-- R</code></pre>
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        <h2>See also</h2>
        <ul>
          <li><span><a title="sort a list or columns of a matrix" href="_sort.html">sort</a> -- sort a list or columns of a matrix</span></li>
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        <h3>Menu</h3>
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          <li><span><a title="specify Ascending or Descending monomial order" href="_sort__Columns_lp..._cm__Monomial__Order_eq_gt..._rp.html">sortColumns(...,MonomialOrder=>...)</a> -- specify Ascending or Descending monomial order</span></li>
          <li><span><a title="specify Ascending, Descending, or null" href="_sort__Columns_lp..._cm__Degree__Order_eq_gt..._rp.html">sortColumns(...,DegreeOrder=>...)</a> -- specify Ascending, Descending, or null</span></li>
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        <div class="waystouse">
          <h2>Ways to use <span class="tt">sortColumns</span>:</h2>
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            <li><kbd>sortColumns(Matrix)</kbd></li>
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          <h2>For the programmer</h2>
          <p>The object <a title="permutation giving sort order" href="_sort__Columns.html">sortColumns</a> is <span>a <a title="a type of method function" href="___Method__Function__With__Options.html">method function with options</a></span>.</p>
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        <div class="waystouse">
          <p>The source of this document is in <span class="tt">Macaulay2Doc/functions/sortColumns-doc.m2:43:0</span>.</p>
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