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<title>Chapter&#160;12.&#160;Internals (Series, Rationals and Continued Fractions, Root Finding, Function Minimization, Testing and Development Tools)</title>
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<div class="titlepage"><div><div><h1 class="title">
<a name="toolkit"></a>Chapter&#160;12.&#160;Internals (Series, Rationals and Continued Fractions, Root Finding, Function
  Minimization, Testing and Development Tools)</h1></div></div></div>
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<p><b>Table of Contents</b></p>
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<dt><span class="section"><a href="math_toolkit/internals_overview.html">Overview</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals1.html">Utilities &amp; internals</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/internals1/series_evaluation.html">Series Evaluation</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals1/cf.html">Continued Fraction Evaluation</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals1/rational.html">Polynomial and Rational
      Function Evaluation</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals1/roots.html">Root Finding With Derivatives:
      Newton-Raphson, Halley &amp; Schroeder</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals1/roots2.html">Root Finding Without
      Derivatives: Bisection, Bracket and TOMS748</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals1/minima.html">Locating Function Minima:
      Brent's algorithm</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals1/tuples.html">Tuples</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/internals2/polynomials.html">Polynomials</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals2/minimax.html">Minimax Approximations
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<dt><span class="section"><a href="math_toolkit/internals2/error_test.html">Relative Error and
      Testing</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals2/test_data.html">Graphing, Profiling,
      and Generating Test Data for Special Functions</a></span></dt>
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        Distributed under the Boost Software License, Version 1.0. (See accompanying
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