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      <h1>toOrdinal -- turns the label of a basis element of a labeled module into a corresponding ordinal</h1>
      <ul>
        <li>
          <dl class="element">
            <dt>Usage: </dt>
            <dd><code class="language-macaulay2">toOrdinal(i,F)</code></dd>
          </dl>
        </li>
        <li>Inputs:          <ul>
            <li><span><span class="tt">l</span>, <span>a <a title="the class of all things" href="../../Macaulay2Doc/html/___Thing.html">thing</a></span>, </span></li>
            <li><span><span class="tt">F</span>, <span>a <a title="the class of free modules with a labeled basis" href="___Labeled__Module.html">free module with labeled basis</a></span>, </span></li>
          </ul>
        </li>
        <li>Outputs:          <ul>
            <li><span><span>an <a title="the class of all integers" href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, </span></li>
          </ul>
        </li>
      </ul>
      <div>
        <h2>Description</h2>
        <div>
          <p>This function allows one to move from the labels of the basis elements of a labeled free module of rank $r$ to the integers $\{0,1, \dots, r-1\}$. More specifically, if $F$ is a labeled free module where we have labeled the basis with the list $L$, then this function an element  $l\in L$ to the ordinal $j$ such that $l$ is the $j$'th element of $L$.</p>
          <p></p>
        </div>
        <table class="examples">
          <tr>
            <td>
              <pre><code class="language-macaulay2">i1 : S=ZZ/101[x_{0,0,0}..x_{2,1,1}];</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i2 : C=symmetricPower(2,labeledModule(S^3))

6
o2 = S

o2 : free S-module with labeled basis</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i3 : basisList C

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

o3 : List</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i4 : toOrdinal({0,0},C)

o4 = 0</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i5 : toOrdinal({1,2},C)

o5 = 4</code></pre>
            </td>
          </tr>
        </table>
      </div>
      <div>
        <h2>See also</h2>
        <ul>
          <li><span><a title="gives the list used to label the basis elements of a labeled module" href="_basis__List.html">basisList</a> -- gives the list used to label the basis elements of a labeled module</span></li>
          <li><span><a title="outputs the label of a basis element of a labeled module" href="_from__Ordinal.html">fromOrdinal</a> -- outputs the label of a basis element of a labeled module</span></li>
        </ul>
      </div>
      <div>
        <div class="waystouse">
          <h2>Ways to use <span class="tt">toOrdinal</span>:</h2>
          <ul>
            <li><kbd>toOrdinal(Thing,LabeledModule)</kbd></li>
          </ul>
        </div>
        <div class="waystouse">
          <h2>For the programmer</h2>
          <p>The object <a title="turns the label of a basis element of a labeled module into a corresponding ordinal" href="_to__Ordinal.html">toOrdinal</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function.html">method function</a></span>.</p>
        </div>
        <hr>
        <div class="waystouse">
          <p>The source of this document is in <span class="tt">TensorComplexes.m2:1687:0</span>.</p>
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