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      <h1>Beta -- Beta function</h1>
      <ul>
        <li>
          <dl class="element">
            <dt>Usage: </dt>
            <dd><code class="language-macaulay2">Beta(x, y)</code></dd>
          </dl>
        </li>
        <li>Inputs:          <ul>
            <li><span><span class="tt">x</span>, <span>a <a title="the class of all real numbers" href="___R__R.html">real number</a></span>, </span></li>
            <li><span><span class="tt">y</span>, <span>a <a title="the class of all real numbers" href="___R__R.html">real number</a></span>, </span></li>
          </ul>
        </li>
        <li>Outputs:          <ul>
            <li><span><span>a <a title="the class of all real numbers" href="___R__R.html">real number</a></span>, the beta function of <span class="tt">x</span> and <span class="tt">y</span>; </span></li>
          </ul>
        </li>
      </ul>
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        <h2>Description</h2>
        <div>
          <p>This is the <a href="https://en.wikipedia.org/wiki/beta_function">beta function</a> \(B(x,y) = \int_0^1 t^{x - 1}(1 - t)^{y - 1}\,dt\).</p>
        </div>
        <table class="examples">
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            <td>
              <pre><code class="language-macaulay2">i1 : Beta(3, 4)

o1 = .01666666666666667

o1 : RR (of precision 53)</code></pre>
            </td>
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        </table>
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        <h2>See also</h2>
        <ul>
          <li><span><a title="regularized beta function" href="_regularized__Beta.html">regularizedBeta</a> -- regularized beta function</span></li>
          <li><span><a title="inverse of the regularized beta function" href="_inverse__Regularized__Beta.html">inverseRegularizedBeta</a> -- inverse of the regularized beta function</span></li>
        </ul>
      </div>
      <div>
        <div class="waystouse">
          <h2>Ways to use <span class="tt">Beta</span>:</h2>
          <ul>
            <li><kbd>Beta(CC,CC)</kbd></li>
            <li><kbd>Beta(CC,RR)</kbd></li>
            <li><kbd>Beta(RR,CC)</kbd></li>
            <li><kbd>Beta(RR,RR)</kbd></li>
            <li><kbd>Beta(RR,RRi)</kbd></li>
            <li><kbd>Beta(RRi,RR)</kbd></li>
            <li><kbd>Beta(RRi,RRi)</kbd></li>
          </ul>
        </div>
        <div class="waystouse">
          <h2>For the programmer</h2>
          <p>The object <a title="Beta function" href="___Beta.html">Beta</a> is <span>a <a title="a type of method function" href="___Method__Function.html">method function</a></span>.</p>
        </div>
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        <div class="waystouse">
          <p>The source of this document is in <span class="tt">Macaulay2Doc/functions/Beta-doc.m2:30:0</span>.</p>
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