<title>Index</title>
<link rel="stylesheet" href="../math.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
-<link rel="home" href="../index.html" title="Math Toolkit 2.10.0">
-<link rel="up" href="../indexes.html" title="Chapter 23. Indexes">
+<link rel="home" href="../index.html" title="Math Toolkit 2.11.0">
+<link rel="up" href="../indexes.html" title="Chapter 24. Indexes">
<link rel="prev" href="s04.html" title="Macro Index">
</head>
<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
</div>
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="idm45274470006544"></a>Index</h2></div></div></div>
+<a name="idm45565358182736"></a>Index</h2></div></div></div>
<p><a class="link" href="s05.html#idx_id_124">1</a> <a class="link" href="s05.html#idx_id_125">2</a> <a class="link" href="s05.html#idx_id_126">4</a> <a class="link" href="s05.html#idx_id_127">5</a> <a class="link" href="s05.html#idx_id_128">7</a> <a class="link" href="s05.html#idx_id_129">A</a> <a class="link" href="s05.html#idx_id_130">B</a> <a class="link" href="s05.html#idx_id_131">C</a> <a class="link" href="s05.html#idx_id_132">D</a> <a class="link" href="s05.html#idx_id_133">E</a> <a class="link" href="s05.html#idx_id_134">F</a> <a class="link" href="s05.html#idx_id_135">G</a> <a class="link" href="s05.html#idx_id_136">H</a> <a class="link" href="s05.html#idx_id_137">I</a> <a class="link" href="s05.html#idx_id_138">J</a> <a class="link" href="s05.html#idx_id_139">K</a> <a class="link" href="s05.html#idx_id_140">L</a> <a class="link" href="s05.html#idx_id_141">M</a> <a class="link" href="s05.html#idx_id_142">N</a> <a class="link" href="s05.html#idx_id_143">O</a> <a class="link" href="s05.html#idx_id_144">P</a> <a class="link" href="s05.html#idx_id_145">Q</a> <a class="link" href="s05.html#idx_id_146">R</a> <a class="link" href="s05.html#idx_id_147">S</a> <a class="link" href="s05.html#idx_id_148">T</a> <a class="link" href="s05.html#idx_id_149">U</a> <a class="link" href="s05.html#idx_id_150">V</a> <a class="link" href="s05.html#idx_id_151">W</a> <a class="link" href="s05.html#idx_id_152">X</a> <a class="link" href="s05.html#idx_id_153">Y</a> <a class="link" href="s05.html#idx_id_154">Z</a></p>
<div class="variablelist"><dl class="variablelist">
<dt>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_0" title="Table 9.8. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_0" title="Table 10.8. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_0" title="Table 10.8. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">root</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_1" title="Table 9.11. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_1" title="Table 10.11. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_1" title="Table 10.11. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">root</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11" title="Table 9.5. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11" title="Table 10.5. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11" title="Table 10.5. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">root</span></a></p></li>
+</ul></div>
</li>
</ul></div></dd>
<dt>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_root.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Finding Zeros of Bessel Functions of the First and Second Kinds</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre_stieltjes.html" title="Legendre-Stieltjes Polynomials"><span class="index-entry-level-1">Legendre-Stieltjes Polynomials</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants.html#math_toolkit.constants.mathematical_constants" title="Table 4.1. Mathematical Constants"><span class="index-entry-level-1">Mathematical Constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">Noncentral Beta Distribution</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tuning.html#math_toolkit.tuning.table_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 20.3. Polynomial Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">Polynomial Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tuning.html#math_toolkit.tuning.table_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 20.4. Rational Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">Rational Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tuning.html#math_toolkit.tuning.table_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 21.3. Polynomial Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">Polynomial Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tuning.html#math_toolkit.tuning.table_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 21.4. Rational Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">Rational Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/sph_harm.html" title="Spherical Harmonics"><span class="index-entry-level-1">Spherical Harmonics</span></a></p></li>
</ul></div>
</li></ul></div></dd>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_0" title="Table 9.6. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_0" title="Table 10.6. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_0" title="Table 10.6. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">root</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_1" title="Table 9.9. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_1" title="Table 10.9. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_1" title="Table 10.9. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">root</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5" title="Table 9.3. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5" title="Table 10.3. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5" title="Table 10.3. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">root</span></a></p></li>
+</ul></div>
</li>
</ul></div></dd>
<dt>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_0" title="Table 9.7. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_0" title="Table 10.7. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_0" title="Table 10.7. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">root</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_1" title="Table 9.10. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_1" title="Table 10.10. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_1" title="Table 10.10. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">root</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7" title="Table 9.4. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7" title="Table 10.4. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7" title="Table 10.4. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">root</span></a></p></li>
+</ul></div>
</li>
</ul></div></dd>
<dt>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">About the Math Toolkit</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">autodiff</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">constants</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">integration</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">quadrature</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/factorials/sf_binomial.html" title="Binomial Coefficients"><span class="index-entry-level-1">Binomial Coefficients</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/binomial_dist.html" title="Binomial Distribution"><span class="index-entry-level-1">Binomial Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">Boost.Math Frequently Asked Questions (FAQs)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">Cardinal B-splines</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">Cardinal Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">Cauchy-Lorentz Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_caveats.html" title="Caveats"><span class="index-entry-level-1">Caveats</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/cbrt.html" title="cbrt"><span class="index-entry-level-1">cbrt</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/overview/complements.html" title="Complements are supported too - and when to use them"><span class="index-entry-level-1">Complements are supported too - and when to use them</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/real_concepts.html" title="Conceptual Requirements for Real Number Types"><span class="index-entry-level-1">Conceptual Requirements for Real Number Types</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cond.html" title="Condition Numbers"><span class="index-entry-level-1">Condition Numbers</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html#math_toolkit.diff.id" title="Table 12.1. Cost of Finite-Difference Numerical Differentiation"><span class="index-entry-level-1">Cost of Finite-Difference Numerical Differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html#math_toolkit.diff.id" title="Table 13.1. Cost of Finite-Difference Numerical Differentiation"><span class="index-entry-level-1">Cost of Finite-Difference Numerical Differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">Credits and Acknowledgements</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hankel/cyl_hankel.html" title="Cyclic Hankel Functions"><span class="index-entry-level-1">Cyclic Hankel Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/new_const.html" title="Defining New Constants"><span class="index-entry-level-1">Defining New Constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_derivative.html" title="Derivative of the Incomplete Beta Function"><span class="index-entry-level-1">Derivative of the Incomplete Beta Function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form"><span class="index-entry-level-1">Elliptic Integrals of the First Kind - Legendre Form</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_2.html" title="Elliptic Integrals of the Second Kind - Legendre Form"><span class="index-entry-level-1">Elliptic Integrals of the Second Kind - Legendre Form</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form"><span class="index-entry-level-1">Elliptic Integrals of the Third Kind - Legendre Form</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">Error Function erf and complement erfc</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_inv.html" title="Error Function Inverses"><span class="index-entry-level-1">Error Function Inverses</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">Error Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/expm1.html" title="expm1"><span class="index-entry-level-1">expm1</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/exp_dist.html" title="Exponential Distribution"><span class="index-entry-level-1">Exponential Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html" title="Exponential Integral Ei"><span class="index-entry-level-1">Exponential Integral Ei</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values"><span class="index-entry-level-1">Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html" title="Gamma"><span class="index-entry-level-1">Gamma</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution"><span class="index-entry-level-1">Gamma (and Erlang) Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">Gegenbauer Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">Generalizing to Compute the nth root</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">Geometric Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">Graphing, Profiling, and Generating Test Data for Special Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/heuman_lambda.html" title="Heuman Lambda Function"><span class="index-entry-level-1">Heuman Lambda Function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution"><span class="index-entry-level-1">Hyperexponential Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">Hypergeometric 1 F 1</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution"><span class="index-entry-level-1">Hypergeometric Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/complex_implementation.html" title="Implementation and Accuracy"><span class="index-entry-level-1">Implementation and Accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html" title="Incomplete Beta Functions"><span class="index-entry-level-1">Incomplete Beta Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/lambda.html" title="Using C++11 Lambda's"><span class="index-entry-level-1">Using C++11 Lambda's</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_ntl.html" title="Using NTL Library"><span class="index-entry-level-1">Using NTL Library</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library"><span class="index-entry-level-1">Using With MPFR or GMP - High-Precision Floating-Point Library</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/weibull_dist.html" title="Weibull Distribution"><span class="index-entry-level-1">Weibull Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/whittaker_shannon.html" title="Whittaker-Shannon interpolation"><span class="index-entry-level-1">Whittaker-Shannon interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/why_high_precision.html" title="Why use a high-precision library rather than built-in floating-point types?"><span class="index-entry-level-1">Why use a high-precision library rather than built-in floating-point types?</span></a></p></li>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_noderiv/TOMS748.html" title="Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions"><span class="index-entry-level-1">toms748_solve</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_noderiv/TOMS748.html" title="Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions"><span class="index-entry-level-1">interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_noderiv/TOMS748.html" title="Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions"><span class="index-entry-level-1">toms748_solve</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Anderson-Darling Test</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/anderson_darling.html" title="The Anderson-Darling Test"><span class="index-entry-level-1">anderson_darling_normality_statistic</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/anderson_darling.html" title="The Anderson-Darling Test"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/anderson_darling.html" title="The Anderson-Darling Test"><span class="index-entry-level-1">quadrature</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/anderson_darling.html" title="The Anderson-Darling Test"><span class="index-entry-level-1">v</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">anderson_darling_normality_statistic</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/anderson_darling.html" title="The Anderson-Darling Test"><span class="index-entry-level-1">The Anderson-Darling Test</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">apply_recurrence_relation_backward</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">Tools For 3-Term Recurrence Relations</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">apply_recurrence_relation_forward</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">Tools For 3-Term Recurrence Relations</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">arcsine</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.8. Library Comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">Library Comparison with GNU C++ version 5.3.0 on linux</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tr1_ref.html" title="TR1 C Functions Quick Reference"><span class="index-entry-level-1">TR1 C Functions Quick Reference</span></a></p></li>
</ul></div>
</li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">autodiff</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">About the Math Toolkit</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">Automatic Differentiation</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Automatic Differentiation</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">autodiff</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">derivative</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">erfc</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">fvar</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">lookup</span></a></p></li>
</dt>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">backward_recurrence_iterator</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">Tools For 3-Term Recurrence Relations</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Barycentric Rational Interpolation</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">barycentric_rational</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">expression</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">prime</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">r</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">bernoulli</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">bernoulli_distribution</span></a></strong></span></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">D</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">skewness</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/factorials/sf_binomial.html" title="Binomial Coefficients"><span class="index-entry-level-1">Binomial Coefficients</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_beta_incomplete_" title="Table 7.20. Error rates for beta (incomplete)"><span class="index-entry-level-1">Error rates for beta (incomplete)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_beta_incomplete_" title="Table 8.20. Error rates for beta (incomplete)"><span class="index-entry-level-1">Error rates for beta (incomplete)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html" title="Incomplete Beta Functions"><span class="index-entry-level-1">Incomplete Beta Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">Noncentral Beta Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses"><span class="index-entry-level-1">The Incomplete Beta Function Inverses</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/beta_dist.html" title="Beta Distribution"><span class="index-entry-level-1">ibeta_invb</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/beta_dist.html" title="Beta Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/beta_dist.html" title="Beta Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/beta_dist.html" title="Beta Distribution"><span class="index-entry-level-1">variance</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Boost.Math Frequently Asked Questions (FAQs)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">bug</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">Cephes</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">FAQ</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">GIT</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">P</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">Trac</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_macros" title="Table 1.11. Boost.Math Macros"><span class="index-entry-level-1">BOOST_MATH_STD_USING</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_macros" title="Table 1.11. Boost.Math Macros"><span class="index-entry-level-1">BOOST_MATH_USE_C99</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_macros" title="Table 1.11. Boost.Math Macros"><span class="index-entry-level-1">BOOST_MATH_USE_FLOAT128</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_macros" title="Table 1.11. Boost.Math Macros"><span class="index-entry-level-1">bug</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_macros" title="Table 1.11. Boost.Math Macros"><span class="index-entry-level-1">constants</span></a></p></li>
</ul></div>
</li>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">branch</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Lambert W function</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Lambert W function</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hints.html" title="Other Hints and tips"><span class="index-entry-level-1">Other Hints and tips</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">brent_find_minima</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">Locating Function Minima using Brent's algorithm</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">bug</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">Additional Implementation Notes</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">Boost.Math Frequently Asked Questions (FAQs)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_macros" title="Table 1.11. Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/contact.html" title="Contact Info and Support"><span class="index-entry-level-1">Contact Info and Support</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">Credits and Acknowledgements</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_ref/error_handling_policies.html" title="Error Handling Policies"><span class="index-entry-level-1">Error Handling Policies</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html#math_toolkit.sf_gamma.polygamma.table_polygamma" title="Table 8.6. Error rates for polygamma"><span class="index-entry-level-1">Error rates for polygamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/float128/exp_function.html" title="Exponential function"><span class="index-entry-level-1">Exponential function</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_history.html" title="History"><span class="index-entry-level-1">History</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/float128.html" title="Implementation of Float128 type"><span class="index-entry-level-1">Implementation of Float128 type</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/compilers_overview.html#math_toolkit.compilers_overview.supported_tested_compilers" title="Table 1.9. Supported/Tested Compilers"><span class="index-entry-level-1">Supported/Tested Compilers</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">Testing</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">Trapezoidal Quadrature</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">by</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/conventions.html" title="Document Conventions"><span class="index-entry-level-1">Document Conventions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">cyl_bessel_kl</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">cyl_neumann</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">cyl_neumannl</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">directory</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">double_t</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">ellint_1</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">ellint_1f</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">cyl_bessel_kl</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">cyl_neumann</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">cyl_neumannl</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">directory</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">double_t</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">ellint_1</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">ellint_1f</span></a></p></li>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Calculation of the Type of the Result</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/result_type.html" title="Calculation of the Type of the Result"><span class="index-entry-level-1">point</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/result_type.html" title="Calculation of the Type of the Result"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/result_type.html" title="Calculation of the Type of the Result"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/result_type.html" title="Calculation of the Type of the Result"><span class="index-entry-level-1">point</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">called</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">Naive Monte Carlo Integration</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Cardinal B-splines</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">cardinal_b_spline</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">cardinal_b_spline_double_prime</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">cardinal_b_spline_prime</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">forward_cardinal_b_spline</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">K</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">performance</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Cardinal Cubic B-spline interpolation</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">cardinal_cubic_b_spline</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">constants</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">data</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">operator</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">p</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">prime</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">v</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Cardinal Quadratic B-spline interpolation</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quadratic_b.html" title="Cardinal Quadratic B-spline interpolation"><span class="index-entry-level-1">cardinal_quadratic_b_spline</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quadratic_b.html" title="Cardinal Quadratic B-spline interpolation"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quadratic_b.html" title="Cardinal Quadratic B-spline interpolation"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quadratic_b.html" title="Cardinal Quadratic B-spline interpolation"><span class="index-entry-level-1">prime</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Cardinal Quintic B-spline interpolation</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation"><span class="index-entry-level-1">cardinal_quintic_b_spline</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation"><span class="index-entry-level-1">interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation"><span class="index-entry-level-1">operator</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation"><span class="index-entry-level-1">prime</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation"><span class="index-entry-level-1">v</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Cardinal Trigonometric interpolation</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">cardinal_trigonometric</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">integrate</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">operator</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">prime</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">v</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cardinal_b_spline</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">Cardinal B-splines</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cardinal_b_spline_double_prime</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">Cardinal B-splines</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cardinal_b_spline_prime</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">Cardinal B-splines</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cardinal_cubic_b_spline</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">Cardinal Cubic B-spline interpolation</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">cardinal_quadratic_b_spline</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quadratic_b.html" title="Cardinal Quadratic B-spline interpolation"><span class="index-entry-level-1">Cardinal Quadratic B-spline interpolation</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cardinal_quintic_b_spline</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation"><span class="index-entry-level-1">Cardinal Quintic B-spline interpolation</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cardinal_trigonometric</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">Cardinal Trigonometric interpolation</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">case</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">Extreme Value Distribution</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">catmull_rom</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">defined</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">K</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">P</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">scale</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">shape</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">values</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_caveats.html" title="Caveats"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_caveats.html" title="Caveats"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_caveats.html" title="Caveats"><span class="index-entry-level-1">expression</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_caveats.html" title="Caveats"><span class="index-entry-level-1">integration</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_caveats.html" title="Caveats"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_caveats.html" title="Caveats"><span class="index-entry-level-1">range</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/c99.html" title="C99 C Functions"><span class="index-entry-level-1">C99 C Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/powers/cbrt.html" title="cbrt"><span class="index-entry-level-1">cbrt</span></a></strong></span></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples.html" title="Examples of Root-Finding (with and without derivatives)"><span class="index-entry-level-1">Examples of Root-Finding (with and without derivatives)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 20.7. Library Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">Library Comparison with Microsoft Visual C++ version 14.0 on Windows x64</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 21.7. Library Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">Library Comparison with Microsoft Visual C++ version 14.0 on Windows x64</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/multiprecision_root.html" title="Root-finding using Boost.Multiprecision"><span class="index-entry-level-1">Root-finding using Boost.Multiprecision</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html" title="Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Bessel Functions of the First and Second Kinds</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_function.html" title="Beta"><span class="index-entry-level-1">Beta</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">Boost.Math Frequently Asked Questions (FAQs)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">Error Functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">Error Function erf and complement erfc</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html" title="Incomplete Beta Functions"><span class="index-entry-level-1">Incomplete Beta Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html" title="Incomplete Gamma Functions"><span class="index-entry-level-1">Incomplete Gamma Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants_faq.html" title="Math Constants FAQs"><span class="index-entry-level-1">Math Constants FAQs</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">integrate</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">n</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">of</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">prime</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">quad</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comp_compilers.html" title="Comparing Different Compilers"><span class="index-entry-level-1">performance</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Comparing the means of two samples with the Students-t test</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test"><span class="index-entry-level-1">not</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Comparison of Cube Root Finding Algorithms</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/cbrt_comparison.html" title="Comparison of Cube Root Finding Algorithms"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Computing the Fifth Root</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/5th_root_eg.html" title="Computing the Fifth Root"><span class="index-entry-level-1">differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/5th_root_eg.html" title="Computing the Fifth Root"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/5th_root_eg.html" title="Computing the Fifth Root"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/5th_root_eg.html" title="Computing the Fifth Root"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bivariate_statistics.html" title="Bivariate Statistics"><span class="index-entry-level-1">Bivariate Statistics</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_macros" title="Table 1.11. Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_tuning" title="Table 1.12. Boost.Math Tuning"><span class="index-entry-level-1">Boost.Math Tuning</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">Cardinal Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_caveats.html" title="Caveats"><span class="index-entry-level-1">Caveats</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">Chebyshev Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/overview/complements.html" title="Complements are supported too - and when to use them"><span class="index-entry-level-1">Complements are supported too - and when to use them</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/real_concepts.html" title="Conceptual Requirements for Real Number Types"><span class="index-entry-level-1">Conceptual Requirements for Real Number Types</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cond.html" title="Condition Numbers"><span class="index-entry-level-1">Condition Numbers</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">Credits and Acknowledgements</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/new_const.html" title="Defining New Constants"><span class="index-entry-level-1">Defining New Constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html" title="Digamma"><span class="index-entry-level-1">Digamma</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">Directory and File Structure</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">Error Function erf and complement erfc</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_inv.html" title="Error Function Inverses"><span class="index-entry-level-1">Error Function Inverses</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">Error Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/exact_typdefs.html" title="Exact-Width Floating-Point typedefs"><span class="index-entry-level-1">Exact-Width Floating-Point typedef s</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/exp_dist.html" title="Exponential Distribution"><span class="index-entry-level-1">Exponential Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html" title="Exponential Integral Ei"><span class="index-entry-level-1">Exponential Integral Ei</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Contact Info and Support</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/contact.html" title="Contact Info and Support"><span class="index-entry-level-1">bug</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/contact.html" title="Contact Info and Support"><span class="index-entry-level-1">GIT</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/contact.html" title="Contact Info and Support"><span class="index-entry-level-1">Trac</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Continued Fraction Evaluation</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/cf.html" title="Continued Fraction Evaluation"><span class="index-entry-level-1">complex</span></a></p></li>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Cost of Finite-Difference Numerical Differentiation</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html#math_toolkit.diff.id" title="Table 12.1. Cost of Finite-Difference Numerical Differentiation"><span class="index-entry-level-1">accuracy</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html#math_toolkit.diff.id" title="Table 13.1. Cost of Finite-Difference Numerical Differentiation"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html#math_toolkit.diff.id" title="Table 13.1. Cost of Finite-Difference Numerical Differentiation"><span class="index-entry-level-1">differentiation</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Cost of High-Precision Non-built-in Floating-point</span></p>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">cpp_bin_float</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_0" title="Table 9.8. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_1" title="Table 9.11. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11" title="Table 9.5. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_0" title="Table 9.6. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_1" title="Table 9.9. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5" title="Table 9.3. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_0" title="Table 9.7. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_1" title="Table 9.10. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7" title="Table 9.4. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_0" title="Table 10.8. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_1" title="Table 10.11. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11" title="Table 10.5. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_0" title="Table 10.6. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_1" title="Table 10.9. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5" title="Table 10.3. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_0" title="Table 10.7. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_1" title="Table 10.10. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7" title="Table 10.4. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">Automatic Differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">Boost.Math Frequently Asked Questions (FAQs)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/result_type.html" title="Calculation of the Type of the Result"><span class="index-entry-level-1">Calculation of the Type of the Result</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/cbrt_comparison.html" title="Comparison of Cube Root Finding Algorithms"><span class="index-entry-level-1">Comparison of Cube Root Finding Algorithms</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html" title="Comparison of Elliptic Integral Root Finding Algoritghms"><span class="index-entry-level-1">Comparison of Elliptic Integral Root Finding Algoritghms</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html" title="Comparison of Nth-root Finding Algorithms"><span class="index-entry-level-1">Comparison of Nth-root Finding Algorithms</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/real_concepts.html" title="Conceptual Requirements for Real Number Types"><span class="index-entry-level-1">Conceptual Requirements for Real Number Types</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/cbrt_comparison.html#math_toolkit.root_comparison.cbrt_comparison.cbrt_4" title="Table 9.1. Cube root(28) for float, double, long double and cpp_bin_float_50"><span class="index-entry-level-1">Cube root(28) for float, double, long double and cpp_bin_float_50</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/cbrt_comparison.html#math_toolkit.root_comparison.cbrt_comparison.cbrt_4" title="Table 10.1. Cube root(28) for float, double, long double and cpp_bin_float_50"><span class="index-entry-level-1">Cube root(28) for float, double, long double and cpp_bin_float_50</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">Directory and File Structure</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples"><span class="index-entry-level-1">Distribution Construction Examples</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values"><span class="index-entry-level-1">Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">Gauss-Legendre quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">Generalizing to Compute the nth root</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Lambert W function</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/multiprecision.html#math_toolkit.multiprecision.linpack_time" title="Table 20.2. Linpack Benchmark"><span class="index-entry-level-1">Linpack Benchmark</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/multiprecision.html#math_toolkit.multiprecision.linpack_time" title="Table 21.2. Linpack Benchmark"><span class="index-entry-level-1">Linpack Benchmark</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">Locating Function Minima using Brent's algorithm</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic0" title="Table 9.13. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic1" title="Table 9.14. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic" title="Table 9.12. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic0" title="Table 10.13. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic1" title="Table 10.14. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic" title="Table 10.12. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/multiprecision_root.html" title="Root-finding using Boost.Multiprecision"><span class="index-entry-level-1">Root-finding using Boost.Multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">Using Boost.Multiprecision</span></a></p></li>
</ul></div>
<p><span class="index-entry-level-0">Credits and Acknowledgements</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">bug</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">constants</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">expression</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">quadrature</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Cube root(28) for float, double, long double and cpp_bin_float_50</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/cbrt_comparison.html#math_toolkit.root_comparison.cbrt_comparison.cbrt_4" title="Table 9.1. Cube root(28) for float, double, long double and cpp_bin_float_50"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
-</li>
-<li class="listitem" style="list-style-type: none">
-<p><span class="index-entry-level-0">Cubic B-spline interpolation</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">accuracy</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">constants</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">cubic_b_spline</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">operator</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">p</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">performance</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">prime</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">v</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/cbrt_comparison.html#math_toolkit.root_comparison.cbrt_comparison.cbrt_4" title="Table 10.1. Cube root(28) for float, double, long double and cpp_bin_float_50"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/cbrt_comparison.html#math_toolkit.root_comparison.cbrt_comparison.cbrt_4" title="Table 10.1. Cube root(28) for float, double, long double and cpp_bin_float_50"><span class="index-entry-level-1">root</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
-<p><span class="index-entry-level-0">cubic_b_spline</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">Cubic B-spline interpolation</span></a></p></li></ul></div>
-</li>
-<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Cyclic Hankel Functions</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hankel/cyl_hankel.html" title="Cyclic Hankel Functions"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 7.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_i (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 8.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_i (integer orders)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Modified Bessel Functions of the First and Second Kinds</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tr1_ref.html" title="TR1 C Functions Quick Reference"><span class="index-entry-level-1">TR1 C Functions Quick Reference</span></a></p></li>
</ul></div>
<p><span class="index-entry-level-0">cyl_bessel_i_prime</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html" title="Derivatives of the Bessel Functions"><span class="index-entry-level-1">Derivatives of the Bessel Functions</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_i_prime_integer_orders_" title="Table 7.50. Error rates for cyl_bessel_i_prime (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_i_prime (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_i_prime_integer_orders_" title="Table 8.50. Error rates for cyl_bessel_i_prime (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_i_prime (integer orders)</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 7.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_j (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 8.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_j (integer orders)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tr1_ref.html" title="TR1 C Functions Quick Reference"><span class="index-entry-level-1">TR1 C Functions Quick Reference</span></a></p></li>
</ul></div>
</li>
<p><span class="index-entry-level-0">cyl_bessel_j_prime</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html" title="Derivatives of the Bessel Functions"><span class="index-entry-level-1">Derivatives of the Bessel Functions</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_j_prime_integer_orders_" title="Table 7.52. Error rates for cyl_bessel_j_prime (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_j_prime (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_j_prime_integer_orders_" title="Table 8.52. Error rates for cyl_bessel_j_prime (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_j_prime (integer orders)</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 7.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_k (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 8.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_k (integer orders)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Modified Bessel Functions of the First and Second Kinds</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tr1_ref.html" title="TR1 C Functions Quick Reference"><span class="index-entry-level-1">TR1 C Functions Quick Reference</span></a></p></li>
</ul></div>
<p><span class="index-entry-level-0">cyl_bessel_k_prime</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html" title="Derivatives of the Bessel Functions"><span class="index-entry-level-1">Derivatives of the Bessel Functions</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_k_prime_integer_orders_" title="Table 7.54. Error rates for cyl_bessel_k_prime (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_k_prime (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_k_prime_integer_orders_" title="Table 8.54. Error rates for cyl_bessel_k_prime (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_k_prime (integer orders)</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 7.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">Error rates for cyl_neumann (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 8.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">Error rates for cyl_neumann (integer orders)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tr1_ref.html" title="TR1 C Functions Quick Reference"><span class="index-entry-level-1">TR1 C Functions Quick Reference</span></a></p></li>
</ul></div>
</li>
<p><span class="index-entry-level-0">cyl_neumann_prime</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html" title="Derivatives of the Bessel Functions"><span class="index-entry-level-1">Derivatives of the Bessel Functions</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_cyl_neumann_prime_integer_orders_" title="Table 21.25. Error rates for cyl_neumann_prime (integer orders)"><span class="index-entry-level-1">Error rates for cyl_neumann_prime (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_cyl_neumann_prime_integer_orders_" title="Table 22.25. Error rates for cyl_neumann_prime (integer orders)"><span class="index-entry-level-1">Error rates for cyl_neumann_prime (integer orders)</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">D</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">Bernoulli Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html" title="Elliptic Integral D - Legendre Form"><span class="index-entry-level-1">Elliptic Integral D - Legendre Form</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_intro.html" title="Elliptic Integral Overview"><span class="index-entry-level-1">Elliptic Integral Overview</span></a></p></li>
</ul></div>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">Additional Implementation Notes</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html" title="Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Bessel Functions of the First and Second Kinds</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">Cardinal Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">Inverse Chi-Squared Distribution Bayes Example</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/polynomials.html" title="Polynomials"><span class="index-entry-level-1">Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html" title='Testing a sample mean for difference from a "true" mean'><span class="index-entry-level-1">Testing a sample mean for difference from a "true" mean</span></a></p></li>
<p><span class="index-entry-level-0">DCDFLIB</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html" title="Comparisons to Other Open Source Libraries"><span class="index-entry-level-1">Comparisons to Other Open Source Libraries</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.9. Distribution performance comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">Distribution performance comparison with GNU C++ version 5.3.0 on linux</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/refs.html" title="References"><span class="index-entry-level-1">References</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_test_app.html" title="The Performance Test Applications"><span class="index-entry-level-1">The Performance Test Applications</span></a></p></li>
</ul></div>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">differentiation</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">About the Math Toolkit</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">Automatic Differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">Cardinal Trigonometric interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/5th_root_eg.html" title="Computing the Fifth Root"><span class="index-entry-level-1">Computing the Fifth Root</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html#math_toolkit.diff.id" title="Table 13.1. Cost of Finite-Difference Numerical Differentiation"><span class="index-entry-level-1">Cost of Finite-Difference Numerical Differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">Credits and Acknowledgements</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/f_dist.html" title="F Distribution"><span class="index-entry-level-1">F Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">Generalizing to Compute the nth root</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff0.html" title="Lanczos Smoothing Derivatives"><span class="index-entry-level-1">Lanczos Smoothing Derivatives</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html" title="Numerical Differentiation"><span class="index-entry-level-1">Numerical Differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../quadrature.html" title="Chapter 13. Quadrature and Differentiation"><span class="index-entry-level-1">Quadrature and Differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">Trapezoidal Quadrature</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Digamma</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html" title="Digamma"><span class="index-entry-level-1">accuracy</span></a></p></li>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html" title="Digamma"><span class="index-entry-level-0">digamma</span></a></p></li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">directory</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">Additional Implementation Notes</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">Directory and File Structure</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">Graphing, Profiling, and Generating Test Data for Special Functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/building.html" title="If and How to Build a Boost.Math Library, and its Examples and Tests"><span class="index-entry-level-1">If and How to Build a Boost.Math Library, and its Examples and Tests</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/float128.html" title="Implementation of Float128 type"><span class="index-entry-level-1">Implementation of Float128 type</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/minimax.html" title="Minimax Approximations and the Remez Algorithm"><span class="index-entry-level-1">Minimax Approximations and the Remez Algorithm</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_test_app.html" title="The Performance Test Applications"><span class="index-entry-level-1">The Performance Test Applications</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">Using Boost.Multiprecision</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Directory and File Structure</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">constants</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">directory</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">file</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">performance</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Discrete Probability Distributions</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/dist_params.html" title="Discrete Probability Distributions"><span class="index-entry-level-1">performance</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/dist_params.html" title="Discrete Probability Distributions"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/dist_params.html" title="Discrete Probability Distributions"><span class="index-entry-level-1">values</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Discrete Quantile Policies</span></p>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples"><span class="index-entry-level-1">distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples"><span class="index-entry-level-1">file</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples"><span class="index-entry-level-1">function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples"><span class="index-entry-level-1">mean</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples"><span class="index-entry-level-1">multiprecision</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Distribution performance comparison with GNU C++ version 5.3.0 on linux</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.9. Distribution performance comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">DCDFLIB</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.9. Distribution performance comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.9. Distribution performance comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.9. Distribution performance comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">Rmath</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Distributions are Objects</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/overview/objects.html" title="Distributions are Objects"><span class="index-entry-level-1">distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/factorials/sf_double_factorial.html" title="Double Factorial"><span class="index-entry-level-1">double_factorial</span></a></strong></span></p></li>
</ul></div>
</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Double-exponential quadrature</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential.html" title="Double-exponential quadrature"><span class="index-entry-level-1">quadrature</span></a></p></li></ul></div>
+</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/factorials/sf_double_factorial.html" title="Double Factorial"><span class="index-entry-level-0">double_factorial</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">double_t</span></p>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form"><span class="index-entry-level-1">Elliptic Integrals of the First Kind - Legendre Form</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_1_complete_" title="Table 21.28. Error rates for ellint_1 (complete)"><span class="index-entry-level-1">Error rates for ellint_1 (complete)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_1_complete_" title="Table 22.28. Error rates for ellint_1 (complete)"><span class="index-entry-level-1">Error rates for ellint_1 (complete)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tr1_ref.html" title="TR1 C Functions Quick Reference"><span class="index-entry-level-1">TR1 C Functions Quick Reference</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_2.html" title="Elliptic Integrals of the Second Kind - Legendre Form"><span class="index-entry-level-1">Elliptic Integrals of the Second Kind - Legendre Form</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_2_complete_" title="Table 21.30. Error rates for ellint_2 (complete)"><span class="index-entry-level-1">Error rates for ellint_2 (complete)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_2_complete_" title="Table 22.30. Error rates for ellint_2 (complete)"><span class="index-entry-level-1">Error rates for ellint_2 (complete)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tr1_ref.html" title="TR1 C Functions Quick Reference"><span class="index-entry-level-1">TR1 C Functions Quick Reference</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html" title="Elliptic Integral D - Legendre Form"><span class="index-entry-level-1">Elliptic Integral D - Legendre Form</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form"><span class="index-entry-level-1">Elliptic Integrals of the Third Kind - Legendre Form</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_3_complete_" title="Table 21.32. Error rates for ellint_3 (complete)"><span class="index-entry-level-1">Error rates for ellint_3 (complete)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_3_complete_" title="Table 22.32. Error rates for ellint_3 (complete)"><span class="index-entry-level-1">Error rates for ellint_3 (complete)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tr1_ref.html" title="TR1 C Functions Quick Reference"><span class="index-entry-level-1">TR1 C Functions Quick Reference</span></a></p></li>
</ul></div>
</li>
<p><span class="index-entry-level-0">ellint_d</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html" title="Elliptic Integral D - Legendre Form"><span class="index-entry-level-1">Elliptic Integral D - Legendre Form</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html#math_toolkit.ellint.ellint_d.table_ellint_d_complete_" title="Table 7.66. Error rates for ellint_d (complete)"><span class="index-entry-level-1">Error rates for ellint_d (complete)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html#math_toolkit.ellint.ellint_d.table_ellint_d_complete_" title="Table 8.66. Error rates for ellint_d (complete)"><span class="index-entry-level-1">Error rates for ellint_d (complete)</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_intro.html" title="Elliptic Integral Overview"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_intro.html" title="Elliptic Integral Overview"><span class="index-entry-level-1">J</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_intro.html" title="Elliptic Integral Overview"><span class="index-entry-level-1">k</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_intro.html" title="Elliptic Integral Overview"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_intro.html" title="Elliptic Integral Overview"><span class="index-entry-level-1">R</span></a></p></li>
</ul></div>
</li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Empirical Cumulative Distribution Function</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">empirical_cumulative_distribution_function</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">O</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">operator</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">return_data</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">v</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-0">empirical_cumulative_distribution_function</span></a></p></li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">epsilon</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">Locating Function Minima using Brent's algorithm</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/c99.html" title="C99 C Functions"><span class="index-entry-level-1">C99 C Functions</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">Error Functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">Error Function erf and complement erfc</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/c99.html" title="C99 C Functions"><span class="index-entry-level-1">C99 C Functions</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">Error Functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">Error Function erf and complement erfc</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">Normal (Gaussian) Distribution</span></a></p></li>
</ul></div>
</li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Error Function erf and complement erfc</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">Cephes</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">constants</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">erf</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">erfc</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">R</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error Function Inverses</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_inv.html" title="Error Function Inverses"><span class="index-entry-level-1">accuracy</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
-<p><span class="index-entry-level-0">Error Functions</span></p>
+<p><span class="index-entry-level-0">Error Handling</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">accuracy</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">Cephes</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">constants</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">erf</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">erfc</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">R</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/error_handling.html" title="Error Handling"><span class="index-entry-level-1">checked_narrowing_cast</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/error_handling.html" title="Error Handling"><span class="index-entry-level-1">feedback</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
-<p><span class="index-entry-level-0">Error Handling</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/error_handling.html" title="Error Handling"><span class="index-entry-level-1">checked_narrowing_cast</span></a></p></li></ul></div>
-</li>
-<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error Handling Example</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/error_eg.html" title="Error Handling Example"><span class="index-entry-level-1">BOOST_MATH_DOMAIN_ERROR_POLICY</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error Handling Policies</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_ref/error_handling_policies.html" title="Error Handling Policies"><span class="index-entry-level-1">bug</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_ref/error_handling_policies.html" title="Error Handling Policies"><span class="index-entry-level-1">user_denorm_error</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_ref/error_handling_policies.html" title="Error Handling Policies"><span class="index-entry-level-1">user_domain_error</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_ref/error_handling_policies.html" title="Error Handling Policies"><span class="index-entry-level-1">user_evaluation_error</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error Logs For Error Rate Tables</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">bug</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">cyl_bessel_i</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">cyl_bessel_j</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">cyl_bessel_k</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for beta</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_function.html#math_toolkit.sf_beta.beta_function.table_beta" title="Table 7.17. Error rates for beta"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_function.html#math_toolkit.sf_beta.beta_function.table_beta" title="Table 7.17. Error rates for beta"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_function.html#math_toolkit.sf_beta.beta_function.table_beta" title="Table 8.17. Error rates for beta"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_function.html#math_toolkit.sf_beta.beta_function.table_beta" title="Table 8.17. Error rates for beta"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for beta (incomplete)</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_beta_incomplete_" title="Table 7.20. Error rates for beta (incomplete)"><span class="index-entry-level-1">beta</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_beta_incomplete_" title="Table 8.20. Error rates for beta (incomplete)"><span class="index-entry-level-1">beta</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for boost::math::powm1</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 21.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 21.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">powm1</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 21.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 22.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 22.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">powm1</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 22.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_bessel_i</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i" title="Table 7.45. Error rates for cyl_bessel_i"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i" title="Table 7.45. Error rates for cyl_bessel_i"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i" title="Table 8.45. Error rates for cyl_bessel_i"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i" title="Table 8.45. Error rates for cyl_bessel_i"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_bessel_i (integer orders)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 7.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">cyl_bessel_i</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 7.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 7.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 8.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">cyl_bessel_i</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 8.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 8.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_bessel_i_prime (integer orders)</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_i_prime_integer_orders_" title="Table 7.50. Error rates for cyl_bessel_i_prime (integer orders)"><span class="index-entry-level-1">cyl_bessel_i_prime</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_i_prime_integer_orders_" title="Table 8.50. Error rates for cyl_bessel_i_prime (integer orders)"><span class="index-entry-level-1">cyl_bessel_i_prime</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_bessel_j</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j" title="Table 7.41. Error rates for cyl_bessel_j"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j" title="Table 7.41. Error rates for cyl_bessel_j"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j" title="Table 8.41. Error rates for cyl_bessel_j"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j" title="Table 8.41. Error rates for cyl_bessel_j"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_bessel_j (integer orders)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 7.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">cyl_bessel_j</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 7.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 7.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 8.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">cyl_bessel_j</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 8.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 8.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_bessel_j_prime (integer orders)</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_j_prime_integer_orders_" title="Table 7.52. Error rates for cyl_bessel_j_prime (integer orders)"><span class="index-entry-level-1">cyl_bessel_j_prime</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_j_prime_integer_orders_" title="Table 8.52. Error rates for cyl_bessel_j_prime (integer orders)"><span class="index-entry-level-1">cyl_bessel_j_prime</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_bessel_k</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k" title="Table 7.47. Error rates for cyl_bessel_k"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k" title="Table 7.47. Error rates for cyl_bessel_k"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k" title="Table 8.47. Error rates for cyl_bessel_k"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k" title="Table 8.47. Error rates for cyl_bessel_k"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_bessel_k (integer orders)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 7.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">cyl_bessel_k</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 7.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 7.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 8.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">cyl_bessel_k</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 8.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 8.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_bessel_k_prime (integer orders)</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_k_prime_integer_orders_" title="Table 7.54. Error rates for cyl_bessel_k_prime (integer orders)"><span class="index-entry-level-1">cyl_bessel_k_prime</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_derivatives.html#math_toolkit.bessel.bessel_derivatives.table_cyl_bessel_k_prime_integer_orders_" title="Table 8.54. Error rates for cyl_bessel_k_prime (integer orders)"><span class="index-entry-level-1">cyl_bessel_k_prime</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_neumann</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann" title="Table 7.43. Error rates for cyl_neumann"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann" title="Table 7.43. Error rates for cyl_neumann"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann" title="Table 8.43. Error rates for cyl_neumann"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann" title="Table 8.43. Error rates for cyl_neumann"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_neumann (integer orders)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 7.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">cyl_neumann</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 7.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 7.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 8.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">cyl_neumann</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 8.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 8.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for cyl_neumann_prime (integer orders)</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_cyl_neumann_prime_integer_orders_" title="Table 21.25. Error rates for cyl_neumann_prime (integer orders)"><span class="index-entry-level-1">cyl_neumann_prime</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_cyl_neumann_prime_integer_orders_" title="Table 22.25. Error rates for cyl_neumann_prime (integer orders)"><span class="index-entry-level-1">cyl_neumann_prime</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for digamma</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html#math_toolkit.sf_gamma.digamma.table_digamma" title="Table 7.4. Error rates for digamma"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html#math_toolkit.sf_gamma.digamma.table_digamma" title="Table 7.4. Error rates for digamma"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html#math_toolkit.sf_gamma.digamma.table_digamma" title="Table 8.4. Error rates for digamma"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html#math_toolkit.sf_gamma.digamma.table_digamma" title="Table 8.4. Error rates for digamma"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_1</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_1.html#math_toolkit.ellint.ellint_1.table_ellint_1" title="Table 7.63. Error rates for ellint_1"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_1.html#math_toolkit.ellint.ellint_1.table_ellint_1" title="Table 8.63. Error rates for ellint_1"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_1 (complete)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_1_complete_" title="Table 21.28. Error rates for ellint_1 (complete)"><span class="index-entry-level-1">ellint_1</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_1_complete_" title="Table 21.28. Error rates for ellint_1 (complete)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_1_complete_" title="Table 22.28. Error rates for ellint_1 (complete)"><span class="index-entry-level-1">ellint_1</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_1_complete_" title="Table 22.28. Error rates for ellint_1 (complete)"><span class="index-entry-level-1">GSL</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_2</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_2.html#math_toolkit.ellint.ellint_2.table_ellint_2" title="Table 7.64. Error rates for ellint_2"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_2.html#math_toolkit.ellint.ellint_2.table_ellint_2" title="Table 8.64. Error rates for ellint_2"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_2 (complete)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_2_complete_" title="Table 21.30. Error rates for ellint_2 (complete)"><span class="index-entry-level-1">ellint_2</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_2_complete_" title="Table 21.30. Error rates for ellint_2 (complete)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_2_complete_" title="Table 22.30. Error rates for ellint_2 (complete)"><span class="index-entry-level-1">ellint_2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_2_complete_" title="Table 22.30. Error rates for ellint_2 (complete)"><span class="index-entry-level-1">GSL</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_3</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_3.html#math_toolkit.ellint.ellint_3.table_ellint_3" title="Table 7.65. Error rates for ellint_3"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_3.html#math_toolkit.ellint.ellint_3.table_ellint_3" title="Table 8.65. Error rates for ellint_3"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_3 (complete)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_3_complete_" title="Table 21.32. Error rates for ellint_3 (complete)"><span class="index-entry-level-1">ellint_3</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_3_complete_" title="Table 21.32. Error rates for ellint_3 (complete)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_3_complete_" title="Table 22.32. Error rates for ellint_3 (complete)"><span class="index-entry-level-1">ellint_3</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_3_complete_" title="Table 22.32. Error rates for ellint_3 (complete)"><span class="index-entry-level-1">GSL</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_d</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html#math_toolkit.ellint.ellint_d.table_ellint_d" title="Table 7.67. Error rates for ellint_d"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html#math_toolkit.ellint.ellint_d.table_ellint_d" title="Table 8.67. Error rates for ellint_d"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_d (complete)</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html#math_toolkit.ellint.ellint_d.table_ellint_d_complete_" title="Table 7.66. Error rates for ellint_d (complete)"><span class="index-entry-level-1">ellint_d</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html#math_toolkit.ellint.ellint_d.table_ellint_d_complete_" title="Table 8.66. Error rates for ellint_d (complete)"><span class="index-entry-level-1">ellint_d</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_rc</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rc" title="Table 7.58. Error rates for ellint_rc"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rc" title="Table 8.58. Error rates for ellint_rc"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_rd</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rd" title="Table 7.59. Error rates for ellint_rd"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rd" title="Table 8.59. Error rates for ellint_rd"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_rf</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rf" title="Table 7.61. Error rates for ellint_rf"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rf" title="Table 8.61. Error rates for ellint_rf"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_rg</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rg" title="Table 7.60. Error rates for ellint_rg"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rg" title="Table 8.60. Error rates for ellint_rg"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ellint_rj</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rj" title="Table 7.62. Error rates for ellint_rj"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rj" title="Table 8.62. Error rates for ellint_rj"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for erf</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html#math_toolkit.sf_erf.error_function.table_erf" title="Table 7.28. Error rates for erf"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html#math_toolkit.sf_erf.error_function.table_erf" title="Table 8.28. Error rates for erf"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for erfc</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html#math_toolkit.sf_erf.error_function.table_erfc" title="Table 7.29. Error rates for erfc"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html#math_toolkit.sf_erf.error_function.table_erfc" title="Table 8.29. Error rates for erfc"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for expint (Ei)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html#math_toolkit.expint.expint_i.table_expint_Ei_" title="Table 7.78. Error rates for expint (Ei)"><span class="index-entry-level-1">expint</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html#math_toolkit.expint.expint_i.table_expint_Ei_" title="Table 7.78. Error rates for expint (Ei)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html#math_toolkit.expint.expint_i.table_expint_Ei_" title="Table 8.78. Error rates for expint (Ei)"><span class="index-entry-level-1">expint</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html#math_toolkit.expint.expint_i.table_expint_Ei_" title="Table 8.78. Error rates for expint (Ei)"><span class="index-entry-level-1">GSL</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for expint (En)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html#math_toolkit.expint.expint_n.table_expint_En_" title="Table 7.77. Error rates for expint (En)"><span class="index-entry-level-1">expint</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html#math_toolkit.expint.expint_n.table_expint_En_" title="Table 7.77. Error rates for expint (En)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html#math_toolkit.expint.expint_n.table_expint_En_" title="Table 8.77. Error rates for expint (En)"><span class="index-entry-level-1">expint</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html#math_toolkit.expint.expint_n.table_expint_En_" title="Table 8.77. Error rates for expint (En)"><span class="index-entry-level-1">GSL</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for expm1</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/expm1.html#math_toolkit.powers.expm1.table_expm1" title="Table 7.82. Error rates for expm1"><span class="index-entry-level-1">Rmath</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/expm1.html#math_toolkit.powers.expm1.table_expm1" title="Table 8.82. Error rates for expm1"><span class="index-entry-level-1">Rmath</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for gamma_p</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 7.9. Error rates for gamma_p"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 7.9. Error rates for gamma_p"><span class="index-entry-level-1">Rmath</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 7.9. Error rates for gamma_p"><span class="index-entry-level-1">tgamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 8.9. Error rates for gamma_p"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 8.9. Error rates for gamma_p"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 8.9. Error rates for gamma_p"><span class="index-entry-level-1">tgamma</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for gamma_p_inv</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_p_inv" title="Table 7.13. Error rates for gamma_p_inv"><span class="index-entry-level-1">inverse</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_p_inv" title="Table 7.13. Error rates for gamma_p_inv"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_p_inv" title="Table 8.13. Error rates for gamma_p_inv"><span class="index-entry-level-1">inverse</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_p_inv" title="Table 8.13. Error rates for gamma_p_inv"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for gamma_q</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 7.10. Error rates for gamma_q"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 7.10. Error rates for gamma_q"><span class="index-entry-level-1">Rmath</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 7.10. Error rates for gamma_q"><span class="index-entry-level-1">tgamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 8.10. Error rates for gamma_q"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 8.10. Error rates for gamma_q"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 8.10. Error rates for gamma_q"><span class="index-entry-level-1">tgamma</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for gamma_q_inv</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_q_inv" title="Table 7.14. Error rates for gamma_q_inv"><span class="index-entry-level-1">inverse</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_q_inv" title="Table 7.14. Error rates for gamma_q_inv"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_q_inv" title="Table 8.14. Error rates for gamma_q_inv"><span class="index-entry-level-1">inverse</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_q_inv" title="Table 8.14. Error rates for gamma_q_inv"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ibeta</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibeta" title="Table 7.18. Error rates for ibeta"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibeta" title="Table 7.18. Error rates for ibeta"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibeta" title="Table 8.18. Error rates for ibeta"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibeta" title="Table 8.18. Error rates for ibeta"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ibetac</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibetac" title="Table 7.19. Error rates for ibetac"><span class="index-entry-level-1">Rmath</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibetac" title="Table 8.19. Error rates for ibetac"><span class="index-entry-level-1">Rmath</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ibetac_inv</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_inv_function.html#math_toolkit.sf_beta.ibeta_inv_function.table_ibetac_inv" title="Table 7.23. Error rates for ibetac_inv"><span class="index-entry-level-1">Rmath</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_inv_function.html#math_toolkit.sf_beta.ibeta_inv_function.table_ibetac_inv" title="Table 8.23. Error rates for ibetac_inv"><span class="index-entry-level-1">Rmath</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for ibeta_inv</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_inv_function.html#math_toolkit.sf_beta.ibeta_inv_function.table_ibeta_inv" title="Table 7.22. Error rates for ibeta_inv"><span class="index-entry-level-1">Rmath</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_inv_function.html#math_toolkit.sf_beta.ibeta_inv_function.table_ibeta_inv" title="Table 8.22. Error rates for ibeta_inv"><span class="index-entry-level-1">Rmath</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for jacobi_cn</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_cn" title="Table 7.70. Error rates for jacobi_cn"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_cn" title="Table 8.70. Error rates for jacobi_cn"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for jacobi_dn</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_dn" title="Table 7.71. Error rates for jacobi_dn"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_dn" title="Table 8.71. Error rates for jacobi_dn"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for jacobi_sn</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_sn" title="Table 7.72. Error rates for jacobi_sn"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_sn" title="Table 8.72. Error rates for jacobi_sn"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for laguerre(n, m, x)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_m_x_" title="Table 7.36. Error rates for laguerre(n, m, x)"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_m_x_" title="Table 7.36. Error rates for laguerre(n, m, x)"><span class="index-entry-level-1">laguerre</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_m_x_" title="Table 8.36. Error rates for laguerre(n, m, x)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_m_x_" title="Table 8.36. Error rates for laguerre(n, m, x)"><span class="index-entry-level-1">laguerre</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for laguerre(n, x)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_x_" title="Table 7.35. Error rates for laguerre(n, x)"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_x_" title="Table 7.35. Error rates for laguerre(n, x)"><span class="index-entry-level-1">laguerre</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_x_" title="Table 8.35. Error rates for laguerre(n, x)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_x_" title="Table 8.35. Error rates for laguerre(n, x)"><span class="index-entry-level-1">laguerre</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for legendre_p</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p" title="Table 7.32. Error rates for legendre_p"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p" title="Table 8.32. Error rates for legendre_p"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for legendre_p (associated)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p_associated_" title="Table 7.34. Error rates for legendre_p (associated)"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p_associated_" title="Table 7.34. Error rates for legendre_p (associated)"><span class="index-entry-level-1">legendre_p</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p_associated_" title="Table 8.34. Error rates for legendre_p (associated)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p_associated_" title="Table 8.34. Error rates for legendre_p (associated)"><span class="index-entry-level-1">legendre_p</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for legendre_q</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_q" title="Table 7.33. Error rates for legendre_q"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_q" title="Table 8.33. Error rates for legendre_q"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for lgamma</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/lgamma.html#math_toolkit.sf_gamma.lgamma.table_lgamma" title="Table 7.3. Error rates for lgamma"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/lgamma.html#math_toolkit.sf_gamma.lgamma.table_lgamma" title="Table 7.3. Error rates for lgamma"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/lgamma.html#math_toolkit.sf_gamma.lgamma.table_lgamma" title="Table 8.3. Error rates for lgamma"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/lgamma.html#math_toolkit.sf_gamma.lgamma.table_lgamma" title="Table 8.3. Error rates for lgamma"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for log1p</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/log1p.html#math_toolkit.powers.log1p.table_log1p" title="Table 7.81. Error rates for log1p"><span class="index-entry-level-1">Rmath</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/log1p.html#math_toolkit.powers.log1p.table_log1p" title="Table 8.81. Error rates for log1p"><span class="index-entry-level-1">Rmath</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for non central beta CDF</span></p>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for owens_t</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/owens_t.html#math_toolkit.owens_t.table_owens_t" title="Table 7.86. Error rates for owens_t"><span class="index-entry-level-1">T</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/owens_t.html#math_toolkit.owens_t.table_owens_t" title="Table 8.86. Error rates for owens_t"><span class="index-entry-level-1">T</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for polygamma</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html#math_toolkit.sf_gamma.polygamma.table_polygamma" title="Table 7.6. Error rates for polygamma"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html#math_toolkit.sf_gamma.polygamma.table_polygamma" title="Table 7.6. Error rates for polygamma"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html#math_toolkit.sf_gamma.polygamma.table_polygamma" title="Table 8.6. Error rates for polygamma"><span class="index-entry-level-1">bug</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html#math_toolkit.sf_gamma.polygamma.table_polygamma" title="Table 8.6. Error rates for polygamma"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html#math_toolkit.sf_gamma.polygamma.table_polygamma" title="Table 8.6. Error rates for polygamma"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for sph_bessel</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/sph_bessel.html#math_toolkit.bessel.sph_bessel.table_sph_bessel" title="Table 7.48. Error rates for sph_bessel"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/sph_bessel.html#math_toolkit.bessel.sph_bessel.table_sph_bessel" title="Table 8.48. Error rates for sph_bessel"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for sph_neumann</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/sph_bessel.html#math_toolkit.bessel.sph_bessel.table_sph_neumann" title="Table 7.49. Error rates for sph_neumann"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/sph_bessel.html#math_toolkit.bessel.sph_bessel.table_sph_neumann" title="Table 8.49. Error rates for sph_neumann"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for tgamma</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma" title="Table 7.1. Error rates for tgamma"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma" title="Table 7.1. Error rates for tgamma"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma" title="Table 8.1. Error rates for tgamma"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma" title="Table 8.1. Error rates for tgamma"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for tgamma (incomplete)</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_incomplete_" title="Table 7.12. Error rates for tgamma (incomplete)"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_incomplete_" title="Table 7.12. Error rates for tgamma (incomplete)"><span class="index-entry-level-1">tgamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_incomplete_" title="Table 8.12. Error rates for tgamma (incomplete)"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_incomplete_" title="Table 8.12. Error rates for tgamma (incomplete)"><span class="index-entry-level-1">tgamma</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for tgamma1pm1</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma1pm1" title="Table 7.2. Error rates for tgamma1pm1"><span class="index-entry-level-1">tgamma1pm1</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma1pm1" title="Table 8.2. Error rates for tgamma1pm1"><span class="index-entry-level-1">tgamma1pm1</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for tgamma_lower</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_lower" title="Table 7.11. Error rates for tgamma_lower"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_lower" title="Table 7.11. Error rates for tgamma_lower"><span class="index-entry-level-1">tgamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_lower" title="Table 8.11. Error rates for tgamma_lower"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_lower" title="Table 8.11. Error rates for tgamma_lower"><span class="index-entry-level-1">tgamma</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for trigamma</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/trigamma.html#math_toolkit.sf_gamma.trigamma.table_trigamma" title="Table 7.5. Error rates for trigamma"><span class="index-entry-level-1">GSL</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/trigamma.html#math_toolkit.sf_gamma.trigamma.table_trigamma" title="Table 7.5. Error rates for trigamma"><span class="index-entry-level-1">Rmath</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/trigamma.html#math_toolkit.sf_gamma.trigamma.table_trigamma" title="Table 8.5. Error rates for trigamma"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/trigamma.html#math_toolkit.sf_gamma.trigamma.table_trigamma" title="Table 8.5. Error rates for trigamma"><span class="index-entry-level-1">Rmath</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Error rates for zeta</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/zetas/zeta.html#math_toolkit.zetas.zeta.table_zeta" title="Table 7.76. Error rates for zeta"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/zetas/zeta.html#math_toolkit.zetas.zeta.table_zeta" title="Table 8.76. Error rates for zeta"><span class="index-entry-level-1">GSL</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Estimating Sample Sizes for a Binomial Distribution.</span></p>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Examples of Root-Finding (with and without derivatives)</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples.html" title="Examples of Root-Finding (with and without derivatives)"><span class="index-entry-level-1">cbrt</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples.html" title="Examples of Root-Finding (with and without derivatives)"><span class="index-entry-level-1">cbrt</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples.html" title="Examples of Root-Finding (with and without derivatives)"><span class="index-entry-level-1">root</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Examples Where Root Finding Goes Wrong</span></p>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html#math_toolkit.expint.expint_i.table_expint_Ei_" title="Table 7.78. Error rates for expint (Ei)"><span class="index-entry-level-1">Error rates for expint (Ei)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html#math_toolkit.expint.expint_n.table_expint_En_" title="Table 7.77. Error rates for expint (En)"><span class="index-entry-level-1">Error rates for expint (En)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html#math_toolkit.expint.expint_i.table_expint_Ei_" title="Table 8.78. Error rates for expint (Ei)"><span class="index-entry-level-1">Error rates for expint (Ei)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html#math_toolkit.expint.expint_n.table_expint_En_" title="Table 8.77. Error rates for expint (En)"><span class="index-entry-level-1">Error rates for expint (En)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html" title="Exponential Integral Ei"><span class="index-entry-level-1">Exponential Integral Ei</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html" title="Exponential Integral En"><span class="index-entry-level-1">Exponential Integral En</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tr1_ref.html" title="TR1 C Functions Quick Reference"><span class="index-entry-level-1">TR1 C Functions Quick Reference</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Exponential function</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/float128/exp_function.html" title="Exponential function"><span class="index-entry-level-1">bug</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Exponential Integral Ei</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html" title="Exponential Integral Ei"><span class="index-entry-level-1">accuracy</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html" title="Exponential Integral En"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html" title="Exponential Integral En"><span class="index-entry-level-1">expint</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html" title="Exponential Integral En"><span class="index-entry-level-1">interpolation</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/exp_dist.html" title="Exponential Distribution"><span class="index-entry-level-0">exponential_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html" title="Negative Binomial Sales Quota Example."><span class="index-entry-level-1">Negative Binomial Sales Quota Example.</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/nmp.html" title="Non-Member Properties"><span class="index-entry-level-1">Non-Member Properties</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">Noncentral Beta Distribution</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jac_over.html" title="Overvew of the Jacobi Elliptic Functions"><span class="index-entry-level-1">Overvew of the Jacobi Elliptic Functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jac_over.html" title="Overview of the Jacobi Elliptic Functions"><span class="index-entry-level-1">Overview of the Jacobi Elliptic Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/poisson_dist.html" title="Poisson Distribution"><span class="index-entry-level-1">Poisson Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/series_evaluation.html" title="Series Evaluation"><span class="index-entry-level-1">Series Evaluation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">Skew Normal Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lanczos.html" title="The Lanczos Approximation"><span class="index-entry-level-1">The Lanczos Approximation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/remez.html" title="The Remez Method"><span class="index-entry-level-1">The Remez Method</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_todo.html" title="To Do"><span class="index-entry-level-1">To Do</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">Tools For 3-Term Recurrence Relations</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/triangular_dist.html" title="Triangular Distribution"><span class="index-entry-level-1">Triangular Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/templ.html" title="Use in template code"><span class="index-entry-level-1">Use in template code</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library"><span class="index-entry-level-1">Using With MPFR or GMP - High-Precision Floating-Point Library</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/double_exponential/de_exp_sinh.html" title="exp_sinh"><span class="index-entry-level-1">exp_sinh</span></a></strong></span></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_exp_sinh.html" title="exp_sinh"><span class="index-entry-level-1">integrate</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_exp_sinh.html" title="exp_sinh"><span class="index-entry-level-1">integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">Overview</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_exp_sinh.html" title="exp_sinh"><span class="index-entry-level-1">support</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_exp_sinh.html" title="exp_sinh"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_exp_sinh.html" title="exp_sinh"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Extras/Future Directions</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/future.html" title="Extras/Future Directions"><span class="index-entry-level-1">cdf</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/future.html" title="Extras/Future Directions"><span class="index-entry-level-1">cdf</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/future.html" title="Extras/Future Directions"><span class="index-entry-level-1">integration</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Extreme Value Distribution</span></p>
<p><span class="index-entry-level-0">F Distribution</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/f_dist.html" title="F Distribution"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/f_dist.html" title="F Distribution"><span class="index-entry-level-1">differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/f_dist.html" title="F Distribution"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/f_dist.html" title="F Distribution"><span class="index-entry-level-1">fisher_f</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/f_dist.html" title="F Distribution"><span class="index-entry-level-1">fisher_f_distribution</span></a></p></li>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/factorials/sf_factorial.html" title="Factorial"><span class="index-entry-level-0">factorial</span></a></p></li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">factors</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_pfq.html" title="Hypergeometric pFq"><span class="index-entry-level-1">Hypergeometric p F q</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Falling Factorial</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/factorials/sf_falling_factorial.html" title="Falling Factorial"><span class="index-entry-level-1">accuracy</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">feedback</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/error_handling.html" title="Error Handling"><span class="index-entry-level-1">Error Handling</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">file</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">Directory and File Structure</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples"><span class="index-entry-level-1">Distribution Construction Examples</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_mem_fun.html" title="Octonion Member Functions"><span class="index-entry-level-1">Octonion Member Functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_overview.html" title="Overview"><span class="index-entry-level-1">Overview</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">tanh_sinh</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ljung_box.html" title="The Ljung-Box Test"><span class="index-entry-level-1">The Ljung-Box Test</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/user_def.html" title="Use With User-Defined Types"><span class="index-entry-level-1">Use With User-Defined Types</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Find Location (Mean) Example</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example"><span class="index-entry-level-1">cauchy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">n</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">root</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">tol</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">zero</span></a></p></li>
</ul></div>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_root.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_root.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">float_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_root.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_root.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">root</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_root.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">x</span></a></p></li>
</ul></div>
</li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_impl.html" title="Implementation"><span class="index-entry-level-1">Implementation</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">forward_cardinal_b_spline</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">Cardinal B-splines</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">forward_recurrence_iterator</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">Tools For 3-Term Recurrence Relations</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Fourier Integrals</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">integrate</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">ooura_fourier_cos</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">ooura_fourier_sin</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">quadrature</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">gauss_kronrod</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">integrate</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">positive</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">range</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">weights</span></a></p></li>
</ul></div>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">gauss</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">integrate</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">positive</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">weights</span></a></p></li>
</ul></div>
</li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">Gauss-Kronrod Quadrature</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">gegenbauer</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">Gegenbauer Polynomials</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Gegenbauer Polynomials</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">gegenbauer</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">gegenbauer_derivative</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">gegenbauer_prime</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">K</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">performance</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">gegenbauer_derivative</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">Gegenbauer Polynomials</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">gegenbauer_prime</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">Gegenbauer Polynomials</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Generalizing to Compute the nth root</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">operator</span></a></p></li>
</ul></div>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/overview/generic.html" title="Generic operations common to all distributions are non-member functions"><span class="index-entry-level-1">p</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/overview/generic.html" title="Generic operations common to all distributions are non-member functions"><span class="index-entry-level-1">pdf</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/overview/generic.html" title="Generic operations common to all distributions are non-member functions"><span class="index-entry-level-1">value</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/overview/generic.html" title="Generic operations common to all distributions are non-member functions"><span class="index-entry-level-1">values</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">mean</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">skewness</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">values</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">variance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">zero</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">Univariate Statistics</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">GIT</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">Boost.Math Frequently Asked Questions (FAQs)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/contact.html" title="Contact Info and Support"><span class="index-entry-level-1">Contact Info and Support</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hints.html" title="Other Hints and tips"><span class="index-entry-level-1">Other Hints and tips</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">Signal Statistics</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Graphing, Profiling, and Generating Test Data for Special Functions</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">directory</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">size</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">upper_incomplete_gamma_fract</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html" title="Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Bessel Functions of the First and Second Kinds</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_function.html" title="Beta"><span class="index-entry-level-1">Beta</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html" title="Comparisons to Other Open Source Libraries"><span class="index-entry-level-1">Comparisons to Other Open Source Libraries</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">Error Functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.9. Distribution performance comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">Distribution performance comparison with GNU C++ version 5.3.0 on linux</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">Error Function erf and complement erfc</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_function.html#math_toolkit.sf_beta.beta_function.table_beta" title="Table 7.17. Error rates for beta"><span class="index-entry-level-1">Error rates for beta</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 21.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">Error rates for boost::math::powm1</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i" title="Table 7.45. Error rates for cyl_bessel_i"><span class="index-entry-level-1">Error rates for cyl_bessel_i</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 7.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_i (integer orders)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j" title="Table 7.41. Error rates for cyl_bessel_j"><span class="index-entry-level-1">Error rates for cyl_bessel_j</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 7.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_j (integer orders)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k" title="Table 7.47. Error rates for cyl_bessel_k"><span class="index-entry-level-1">Error rates for cyl_bessel_k</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 7.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_k (integer orders)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann" title="Table 7.43. Error rates for cyl_neumann"><span class="index-entry-level-1">Error rates for cyl_neumann</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 7.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">Error rates for cyl_neumann (integer orders)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html#math_toolkit.sf_gamma.digamma.table_digamma" title="Table 7.4. Error rates for digamma"><span class="index-entry-level-1">Error rates for digamma</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_1.html#math_toolkit.ellint.ellint_1.table_ellint_1" title="Table 7.63. Error rates for ellint_1"><span class="index-entry-level-1">Error rates for ellint_1</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_1_complete_" title="Table 21.28. Error rates for ellint_1 (complete)"><span class="index-entry-level-1">Error rates for ellint_1 (complete)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_2.html#math_toolkit.ellint.ellint_2.table_ellint_2" title="Table 7.64. Error rates for ellint_2"><span class="index-entry-level-1">Error rates for ellint_2</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_2_complete_" title="Table 21.30. Error rates for ellint_2 (complete)"><span class="index-entry-level-1">Error rates for ellint_2 (complete)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_3.html#math_toolkit.ellint.ellint_3.table_ellint_3" title="Table 7.65. Error rates for ellint_3"><span class="index-entry-level-1">Error rates for ellint_3</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_3_complete_" title="Table 21.32. Error rates for ellint_3 (complete)"><span class="index-entry-level-1">Error rates for ellint_3 (complete)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html#math_toolkit.ellint.ellint_d.table_ellint_d" title="Table 7.67. Error rates for ellint_d"><span class="index-entry-level-1">Error rates for ellint_d</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rc" title="Table 7.58. Error rates for ellint_rc"><span class="index-entry-level-1">Error rates for ellint_rc</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rd" title="Table 7.59. Error rates for ellint_rd"><span class="index-entry-level-1">Error rates for ellint_rd</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rf" title="Table 7.61. Error rates for ellint_rf"><span class="index-entry-level-1">Error rates for ellint_rf</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rg" title="Table 7.60. Error rates for ellint_rg"><span class="index-entry-level-1">Error rates for ellint_rg</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rj" title="Table 7.62. Error rates for ellint_rj"><span class="index-entry-level-1">Error rates for ellint_rj</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html#math_toolkit.sf_erf.error_function.table_erf" title="Table 7.28. Error rates for erf"><span class="index-entry-level-1">Error rates for erf</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html#math_toolkit.sf_erf.error_function.table_erfc" title="Table 7.29. Error rates for erfc"><span class="index-entry-level-1">Error rates for erfc</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html#math_toolkit.expint.expint_i.table_expint_Ei_" title="Table 7.78. Error rates for expint (Ei)"><span class="index-entry-level-1">Error rates for expint (Ei)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html#math_toolkit.expint.expint_n.table_expint_En_" title="Table 7.77. Error rates for expint (En)"><span class="index-entry-level-1">Error rates for expint (En)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 7.9. Error rates for gamma_p"><span class="index-entry-level-1">Error rates for gamma_p</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 7.10. Error rates for gamma_q"><span class="index-entry-level-1">Error rates for gamma_q</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibeta" title="Table 7.18. Error rates for ibeta"><span class="index-entry-level-1">Error rates for ibeta</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_cn" title="Table 7.70. Error rates for jacobi_cn"><span class="index-entry-level-1">Error rates for jacobi_cn</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_dn" title="Table 7.71. Error rates for jacobi_dn"><span class="index-entry-level-1">Error rates for jacobi_dn</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_sn" title="Table 7.72. Error rates for jacobi_sn"><span class="index-entry-level-1">Error rates for jacobi_sn</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_m_x_" title="Table 7.36. Error rates for laguerre(n, m, x)"><span class="index-entry-level-1">Error rates for laguerre(n, m, x)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_x_" title="Table 7.35. Error rates for laguerre(n, x)"><span class="index-entry-level-1">Error rates for laguerre(n, x)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p" title="Table 7.32. Error rates for legendre_p"><span class="index-entry-level-1">Error rates for legendre_p</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p_associated_" title="Table 7.34. Error rates for legendre_p (associated)"><span class="index-entry-level-1">Error rates for legendre_p (associated)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_q" title="Table 7.33. Error rates for legendre_q"><span class="index-entry-level-1">Error rates for legendre_q</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/lgamma.html#math_toolkit.sf_gamma.lgamma.table_lgamma" title="Table 7.3. Error rates for lgamma"><span class="index-entry-level-1">Error rates for lgamma</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html#math_toolkit.sf_gamma.polygamma.table_polygamma" title="Table 7.6. Error rates for polygamma"><span class="index-entry-level-1">Error rates for polygamma</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/sph_bessel.html#math_toolkit.bessel.sph_bessel.table_sph_bessel" title="Table 7.48. Error rates for sph_bessel"><span class="index-entry-level-1">Error rates for sph_bessel</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/sph_bessel.html#math_toolkit.bessel.sph_bessel.table_sph_neumann" title="Table 7.49. Error rates for sph_neumann"><span class="index-entry-level-1">Error rates for sph_neumann</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma" title="Table 7.1. Error rates for tgamma"><span class="index-entry-level-1">Error rates for tgamma</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_incomplete_" title="Table 7.12. Error rates for tgamma (incomplete)"><span class="index-entry-level-1">Error rates for tgamma (incomplete)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_lower" title="Table 7.11. Error rates for tgamma_lower"><span class="index-entry-level-1">Error rates for tgamma_lower</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/trigamma.html#math_toolkit.sf_gamma.trigamma.table_trigamma" title="Table 7.5. Error rates for trigamma"><span class="index-entry-level-1">Error rates for trigamma</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/zetas/zeta.html#math_toolkit.zetas.zeta.table_zeta" title="Table 7.76. Error rates for zeta"><span class="index-entry-level-1">Error rates for zeta</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_function.html#math_toolkit.sf_beta.beta_function.table_beta" title="Table 8.17. Error rates for beta"><span class="index-entry-level-1">Error rates for beta</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 22.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">Error rates for boost::math::powm1</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i" title="Table 8.45. Error rates for cyl_bessel_i"><span class="index-entry-level-1">Error rates for cyl_bessel_i</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 8.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_i (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j" title="Table 8.41. Error rates for cyl_bessel_j"><span class="index-entry-level-1">Error rates for cyl_bessel_j</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 8.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_j (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k" title="Table 8.47. Error rates for cyl_bessel_k"><span class="index-entry-level-1">Error rates for cyl_bessel_k</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 8.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_k (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann" title="Table 8.43. Error rates for cyl_neumann"><span class="index-entry-level-1">Error rates for cyl_neumann</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 8.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">Error rates for cyl_neumann (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html#math_toolkit.sf_gamma.digamma.table_digamma" title="Table 8.4. Error rates for digamma"><span class="index-entry-level-1">Error rates for digamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_1.html#math_toolkit.ellint.ellint_1.table_ellint_1" title="Table 8.63. Error rates for ellint_1"><span class="index-entry-level-1">Error rates for ellint_1</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_1_complete_" title="Table 22.28. Error rates for ellint_1 (complete)"><span class="index-entry-level-1">Error rates for ellint_1 (complete)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_2.html#math_toolkit.ellint.ellint_2.table_ellint_2" title="Table 8.64. Error rates for ellint_2"><span class="index-entry-level-1">Error rates for ellint_2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_2_complete_" title="Table 22.30. Error rates for ellint_2 (complete)"><span class="index-entry-level-1">Error rates for ellint_2 (complete)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_3.html#math_toolkit.ellint.ellint_3.table_ellint_3" title="Table 8.65. Error rates for ellint_3"><span class="index-entry-level-1">Error rates for ellint_3</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_ellint_3_complete_" title="Table 22.32. Error rates for ellint_3 (complete)"><span class="index-entry-level-1">Error rates for ellint_3 (complete)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_d.html#math_toolkit.ellint.ellint_d.table_ellint_d" title="Table 8.67. Error rates for ellint_d"><span class="index-entry-level-1">Error rates for ellint_d</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rc" title="Table 8.58. Error rates for ellint_rc"><span class="index-entry-level-1">Error rates for ellint_rc</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rd" title="Table 8.59. Error rates for ellint_rd"><span class="index-entry-level-1">Error rates for ellint_rd</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rf" title="Table 8.61. Error rates for ellint_rf"><span class="index-entry-level-1">Error rates for ellint_rf</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rg" title="Table 8.60. Error rates for ellint_rg"><span class="index-entry-level-1">Error rates for ellint_rg</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_carlson.html#math_toolkit.ellint.ellint_carlson.table_ellint_rj" title="Table 8.62. Error rates for ellint_rj"><span class="index-entry-level-1">Error rates for ellint_rj</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html#math_toolkit.sf_erf.error_function.table_erf" title="Table 8.28. Error rates for erf"><span class="index-entry-level-1">Error rates for erf</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html#math_toolkit.sf_erf.error_function.table_erfc" title="Table 8.29. Error rates for erfc"><span class="index-entry-level-1">Error rates for erfc</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html#math_toolkit.expint.expint_i.table_expint_Ei_" title="Table 8.78. Error rates for expint (Ei)"><span class="index-entry-level-1">Error rates for expint (Ei)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html#math_toolkit.expint.expint_n.table_expint_En_" title="Table 8.77. Error rates for expint (En)"><span class="index-entry-level-1">Error rates for expint (En)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 8.9. Error rates for gamma_p"><span class="index-entry-level-1">Error rates for gamma_p</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 8.10. Error rates for gamma_q"><span class="index-entry-level-1">Error rates for gamma_q</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibeta" title="Table 8.18. Error rates for ibeta"><span class="index-entry-level-1">Error rates for ibeta</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_cn" title="Table 8.70. Error rates for jacobi_cn"><span class="index-entry-level-1">Error rates for jacobi_cn</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_dn" title="Table 8.71. Error rates for jacobi_dn"><span class="index-entry-level-1">Error rates for jacobi_dn</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html#math_toolkit.jacobi.jacobi_elliptic.table_jacobi_sn" title="Table 8.72. Error rates for jacobi_sn"><span class="index-entry-level-1">Error rates for jacobi_sn</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_m_x_" title="Table 8.36. Error rates for laguerre(n, m, x)"><span class="index-entry-level-1">Error rates for laguerre(n, m, x)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_x_" title="Table 8.35. Error rates for laguerre(n, x)"><span class="index-entry-level-1">Error rates for laguerre(n, x)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p" title="Table 8.32. Error rates for legendre_p"><span class="index-entry-level-1">Error rates for legendre_p</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p_associated_" title="Table 8.34. Error rates for legendre_p (associated)"><span class="index-entry-level-1">Error rates for legendre_p (associated)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_q" title="Table 8.33. Error rates for legendre_q"><span class="index-entry-level-1">Error rates for legendre_q</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/lgamma.html#math_toolkit.sf_gamma.lgamma.table_lgamma" title="Table 8.3. Error rates for lgamma"><span class="index-entry-level-1">Error rates for lgamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html#math_toolkit.sf_gamma.polygamma.table_polygamma" title="Table 8.6. Error rates for polygamma"><span class="index-entry-level-1">Error rates for polygamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/sph_bessel.html#math_toolkit.bessel.sph_bessel.table_sph_bessel" title="Table 8.48. Error rates for sph_bessel"><span class="index-entry-level-1">Error rates for sph_bessel</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/sph_bessel.html#math_toolkit.bessel.sph_bessel.table_sph_neumann" title="Table 8.49. Error rates for sph_neumann"><span class="index-entry-level-1">Error rates for sph_neumann</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma" title="Table 8.1. Error rates for tgamma"><span class="index-entry-level-1">Error rates for tgamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_incomplete_" title="Table 8.12. Error rates for tgamma (incomplete)"><span class="index-entry-level-1">Error rates for tgamma (incomplete)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_lower" title="Table 8.11. Error rates for tgamma_lower"><span class="index-entry-level-1">Error rates for tgamma_lower</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/trigamma.html#math_toolkit.sf_gamma.trigamma.table_trigamma" title="Table 8.5. Error rates for trigamma"><span class="index-entry-level-1">Error rates for trigamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/zetas/zeta.html#math_toolkit.zetas.zeta.table_zeta" title="Table 8.76. Error rates for zeta"><span class="index-entry-level-1">Error rates for zeta</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html" title="Exponential Integral Ei"><span class="index-entry-level-1">Exponential Integral Ei</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html" title="Incomplete Beta Functions"><span class="index-entry-level-1">Incomplete Beta Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html" title="Incomplete Gamma Functions"><span class="index-entry-level-1">Incomplete Gamma Functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.8. Library Comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">Library Comparison with GNU C++ version 5.3.0 on linux</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/zetas/zeta.html" title="Riemann Zeta Function"><span class="index-entry-level-1">Riemann Zeta Function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_test_app.html" title="The Performance Test Applications"><span class="index-entry-level-1">The Performance Test Applications</span></a></p></li>
</ul></div>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh_2_arg.html" title="Handling functions with large features near an endpoint with tanh-sinh quadrature"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh_2_arg.html" title="Handling functions with large features near an endpoint with tanh-sinh quadrature"><span class="index-entry-level-1">expression</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh_2_arg.html" title="Handling functions with large features near an endpoint with tanh-sinh quadrature"><span class="index-entry-level-1">integration</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh_2_arg.html" title="Handling functions with large features near an endpoint with tanh-sinh quadrature"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh_2_arg.html" title="Handling functions with large features near an endpoint with tanh-sinh quadrature"><span class="index-entry-level-1">zero</span></a></p></li>
</ul></div>
</li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/float128_hints.html" title="Hints on using float128 (and __float128)"><span class="index-entry-level-1">constants</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">History</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_history.html" title="History"><span class="index-entry-level-1">bug</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">History and What's New</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">2</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">airy_bi_zero</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">bug</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">derivative</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">directory</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">erf</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">FAQ</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">feedback</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">freedom</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">GIT</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">integration</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">Lanczos approximation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">mode</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">n</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">nextafter</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">sph_neumann_prime</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">tgamma_delta_ratio</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">Trac</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">value</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">zero</span></a></p></li>
</ul></div>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution"><span class="index-entry-level-1">distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution"><span class="index-entry-level-1">hyperexponential</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution"><span class="index-entry-level-1">hyperexponential_distribution</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution"><span class="index-entry-level-1">of</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution"><span class="index-entry-level-1">performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution"><span class="index-entry-level-1">Hypergeometric Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Hypergeometric 0 F 1 </span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_0f1.html" title="Hypergeometric 0F1"><span class="index-entry-level-1">hypergeometric_0F1</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Hypergeometric 1 F 0 </span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f0.html" title="Hypergeometric 1F0"><span class="index-entry-level-1">hypergeometric_1F0</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Hypergeometric 1 F 1</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">hypergeometric_1F1</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">hypergeometric_1F1_regularized</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">log_hypergeometric_1F1</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">normalize</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">odd</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">performance</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Hypergeometric 2 F 0</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_2f0.html" title="Hypergeometric 2F0"><span class="index-entry-level-1">hypergeometric_2F0</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Hypergeometric Distribution</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Hypergeometric p F q</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_pfq.html" title="Hypergeometric pFq"><span class="index-entry-level-1">factors</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_pfq.html" title="Hypergeometric pFq"><span class="index-entry-level-1">hypergeometric_pFq</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_pfq.html" title="Hypergeometric pFq"><span class="index-entry-level-1">hypergeometric_pFq_precision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_pfq.html" title="Hypergeometric pFq"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">hypergeometric_0F1</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_0f1.html" title="Hypergeometric 0F1"><span class="index-entry-level-1">Hypergeometric 0 F 1 </span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">hypergeometric_1F0</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f0.html" title="Hypergeometric 1F0"><span class="index-entry-level-1">Hypergeometric 1 F 0 </span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">hypergeometric_1F1</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">Hypergeometric 1 F 1</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">hypergeometric_1F1_regularized</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">Hypergeometric 1 F 1</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">hypergeometric_2F0</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_2f0.html" title="Hypergeometric 2F0"><span class="index-entry-level-1">Hypergeometric 2 F 0</span></a></p></li></ul></div>
+</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution"><span class="index-entry-level-0">hypergeometric_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">hypergeometric_pFq</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_pfq.html" title="Hypergeometric pFq"><span class="index-entry-level-1">Hypergeometric p F q</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">hypergeometric_pFq_precision</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_pfq.html" title="Hypergeometric pFq"><span class="index-entry-level-1">Hypergeometric p F q</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">hypergf</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">If and How to Build a Boost.Math Library, and its Examples and Tests</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/building.html" title="If and How to Build a Boost.Math Library, and its Examples and Tests"><span class="index-entry-level-1">directory</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">ilogb</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">at</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">BOOST_DEFINE_MATH_CONSTANT</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">BOOST_MATH_DOMAIN_ERROR_POLICY</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">bug</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">cdf</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">data</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">defined</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">directory</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">infinity</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">median</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">multiprecision</span></a></p></li>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Implementation of Float128 type</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/float128.html" title="Implementation of Float128 type"><span class="index-entry-level-1">multiprecision</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/float128.html" title="Implementation of Float128 type"><span class="index-entry-level-1">bug</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/float128.html" title="Implementation of Float128 type"><span class="index-entry-level-1">directory</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/float128.html" title="Implementation of Float128 type"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Incomplete Beta Function Inverses</span></p>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">integrate</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">Cardinal Trigonometric interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">Chebyshev Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_exp_sinh.html" title="exp_sinh"><span class="index-entry-level-1">exp_sinh</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">Fourier Integrals</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">integration</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">About the Math Toolkit</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_caveats.html" title="Caveats"><span class="index-entry-level-1">Caveats</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_exp_sinh.html" title="exp_sinh"><span class="index-entry-level-1">exp_sinh</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/future.html" title="Extras/Future Directions"><span class="index-entry-level-1">Extras/Future Directions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">Fourier Integrals</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">Gauss-Kronrod Quadrature</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">Gauss-Legendre quadrature</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh_2_arg.html" title="Handling functions with large features near an endpoint with tanh-sinh quadrature"><span class="index-entry-level-1">Handling functions with large features near an endpoint with tanh-sinh quadrature</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">Naive Monte Carlo Integration</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">Overview</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_refes.html" title="References"><span class="index-entry-level-1">References</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tol.html" title="Setting the Termination Condition for Integration"><span class="index-entry-level-1">Setting the Termination Condition for Integration</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_sinh_sinh.html" title="sinh_sinh"><span class="index-entry-level-1">sinh_sinh</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">tanh_sinh</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">Trapezoidal Quadrature</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Internal Floating-point Promotion Policies</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_ref/internal_promotion.html" title="Internal Floating-point Promotion Policies"><span class="index-entry-level-1">accuracy</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">interpolation</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">About the Math Toolkit</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_noderiv/TOMS748.html" title="Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions"><span class="index-entry-level-1">Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">Barycentric Rational Interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">Cardinal B-splines</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">Cardinal Cubic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quadratic_b.html" title="Cardinal Quadratic B-spline interpolation"><span class="index-entry-level-1">Cardinal Quadratic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation"><span class="index-entry-level-1">Cardinal Quintic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">Cardinal Trigonometric interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">Catmull-Rom Splines</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">Credits and Acknowledgements</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_n.html" title="Exponential Integral En"><span class="index-entry-level-1">Exponential Integral En</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../interpolation.html" title="Chapter 12. Interpolation"><span class="index-entry-level-1">interpolation</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">Locating Function Minima using Brent's algorithm</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/minimax.html" title="Minimax Approximations and the Remez Algorithm"><span class="index-entry-level-1">Minimax Approximations and the Remez Algorithm</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/remez.html" title="The Remez Method"><span class="index-entry-level-1">The Remez Method</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/vector_barycentric.html" title="Vector-valued Barycentric Rational Interpolation"><span class="index-entry-level-1">Vector-valued Barycentric Rational Interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/whittaker_shannon.html" title="Whittaker-Shannon interpolation"><span class="index-entry-level-1">Whittaker-Shannon interpolation</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Interpreting these Results</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/interp.html" title="Interpreting these Results"><span class="index-entry-level-1">performance</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants_intro.html" title="Introduction"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants_intro.html" title="Introduction"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fp_facets/facets_intro.html" title="Introduction"><span class="index-entry-level-1">nan</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fp_facets/facets_intro.html" title="Introduction"><span class="index-entry-level-1">not</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fp_facets/facets_intro.html" title="Introduction"><span class="index-entry-level-1">values</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">inverse</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_p_inv" title="Table 7.13. Error rates for gamma_p_inv"><span class="index-entry-level-1">Error rates for gamma_p_inv</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_q_inv" title="Table 7.14. Error rates for gamma_q_inv"><span class="index-entry-level-1">Error rates for gamma_q_inv</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_p_inv" title="Table 8.13. Error rates for gamma_p_inv"><span class="index-entry-level-1">Error rates for gamma_p_inv</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_q_inv" title="Table 8.14. Error rates for gamma_q_inv"><span class="index-entry-level-1">Error rates for gamma_q_inv</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">scale</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">small</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">values</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">variance</span></a></p></li>
</ul></div>
</li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">jacobi</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/jacobi.html" title="Jacobi Polynomials"><span class="index-entry-level-1">Jacobi Polynomials</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Jacobi Elliptic Function cd</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_cd.html" title="Jacobi Elliptic Function cd"><span class="index-entry-level-1">jacobi_cd</span></a></p></li></ul></div>
</li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Jacobi Polynomials</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/jacobi.html" title="Jacobi Polynomials"><span class="index-entry-level-1">jacobi</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/jacobi.html" title="Jacobi Polynomials"><span class="index-entry-level-1">jacobi_derivative</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/jacobi.html" title="Jacobi Polynomials"><span class="index-entry-level-1">jacobi_double_prime</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/jacobi.html" title="Jacobi Polynomials"><span class="index-entry-level-1">jacobi_prime</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Jacobi Zeta Function</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/jacobi_zeta.html" title="Jacobi Zeta Function"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/jacobi_zeta.html" title="Jacobi Zeta Function"><span class="index-entry-level-1">function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/jacobi_zeta.html" title="Jacobi Zeta Function"><span class="index-entry-level-1">jacobi_zeta</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/jacobi_zeta.html" title="Jacobi Zeta Function"><span class="index-entry-level-1">multiprecision</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_dc.html" title="Jacobi Elliptic Function dc"><span class="index-entry-level-1">Jacobi Elliptic Function dc</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">jacobi_derivative</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/jacobi.html" title="Jacobi Polynomials"><span class="index-entry-level-1">Jacobi Polynomials</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">jacobi_dn</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_dn.html" title="Jacobi Elliptic Function dn"><span class="index-entry-level-1">Jacobi Elliptic Function dn</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">jacobi_double_prime</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/jacobi.html" title="Jacobi Polynomials"><span class="index-entry-level-1">Jacobi Polynomials</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">jacobi_ds</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_ds.html" title="Jacobi Elliptic Function ds"><span class="index-entry-level-1">Jacobi Elliptic Function ds</span></a></p></li></ul></div>
</li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_ns.html" title="Jacobi Elliptic Function ns"><span class="index-entry-level-1">Jacobi Elliptic Function ns</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">jacobi_prime</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/jacobi.html" title="Jacobi Polynomials"><span class="index-entry-level-1">Jacobi Polynomials</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">jacobi_sc</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_sc.html" title="Jacobi Elliptic Function sc"><span class="index-entry-level-1">Jacobi Elliptic Function sc</span></a></p></li></ul></div>
</li>
<p><span class="index-entry-level-0">k</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/elliptic_eg.html" title="A More complex example - Inverting the Elliptic Integrals"><span class="index-entry-level-1">A More complex example - Inverting the Elliptic Integrals</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">Cardinal B-splines</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">Catmull-Rom Splines</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_intro.html" title="Elliptic Integral Overview"><span class="index-entry-level-1">Elliptic Integral Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form"><span class="index-entry-level-1">Elliptic Integrals of the First Kind - Legendre Form</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">Gegenbauer Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution"><span class="index-entry-level-1">Hypergeometric Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jacobi_elliptic.html" title="Jacobi Elliptic SN, CN and DN"><span class="index-entry-level-1">Jacobi Elliptic SN, CN and DN</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">by</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">integration</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">J</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">K</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Lanczos approximation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">not</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">of</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">T</span></a></p></li>
</ul></div>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_m_x_" title="Table 7.36. Error rates for laguerre(n, m, x)"><span class="index-entry-level-1">Error rates for laguerre(n, m, x)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_x_" title="Table 7.35. Error rates for laguerre(n, x)"><span class="index-entry-level-1">Error rates for laguerre(n, x)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_m_x_" title="Table 8.36. Error rates for laguerre(n, m, x)"><span class="index-entry-level-1">Error rates for laguerre(n, m, x)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html#math_toolkit.sf_poly.laguerre.table_laguerre_n_x_" title="Table 8.35. Error rates for laguerre(n, x)"><span class="index-entry-level-1">Error rates for laguerre(n, x)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/laguerre.html" title="Laguerre (and Associated) Polynomials"><span class="index-entry-level-1">Laguerre (and Associated) Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tr1_ref.html" title="TR1 C Functions Quick Reference"><span class="index-entry-level-1">TR1 C Functions Quick Reference</span></a></p></li>
</ul></div>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">lambert_wm1_prime</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">lookup_t</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">range</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">refinement</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">small</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">step</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Trac</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">W</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html" title="Numerical Differentiation"><span class="index-entry-level-1">Numerical Differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tuning.html" title="Performance Tuning Macros"><span class="index-entry-level-1">Performance Tuning Macros</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/refs.html" title="References"><span class="index-entry-level-1">References</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lanczos.html" title="The Lanczos Approximation"><span class="index-entry-level-1">term</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lanczos.html" title="The Lanczos Approximation"><span class="index-entry-level-1">The Lanczos Approximation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_ntl.html" title="Using NTL Library"><span class="index-entry-level-1">Using NTL Library</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library"><span class="index-entry-level-1">Using With MPFR or GMP - High-Precision Floating-Point Library</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Lanczos Smoothing Derivatives</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff0.html" title="Lanczos Smoothing Derivatives"><span class="index-entry-level-1">10</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff0.html" title="Lanczos Smoothing Derivatives"><span class="index-entry-level-1">differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff0.html" title="Lanczos Smoothing Derivatives"><span class="index-entry-level-1">discrete_lanczos_derivative</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff0.html" title="Lanczos Smoothing Derivatives"><span class="index-entry-level-1">Lanczos approximation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff0.html" title="Lanczos Smoothing Derivatives"><span class="index-entry-level-1">O</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html" title="Legendre (and Associated) Polynomials"><span class="index-entry-level-1">legendre_p_prime</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html" title="Legendre (and Associated) Polynomials"><span class="index-entry-level-1">legendre_p_zeros</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html" title="Legendre (and Associated) Polynomials"><span class="index-entry-level-1">legendre_q</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html" title="Legendre (and Associated) Polynomials"><span class="index-entry-level-1">of</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre_stieltjes.html" title="Legendre-Stieltjes Polynomials"><span class="index-entry-level-1">n</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre_stieltjes.html" title="Legendre-Stieltjes Polynomials"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre_stieltjes.html" title="Legendre-Stieltjes Polynomials"><span class="index-entry-level-1">prime</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre_stieltjes.html" title="Legendre-Stieltjes Polynomials"><span class="index-entry-level-1">quadrature</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">legendre_p</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p_associated_" title="Table 7.34. Error rates for legendre_p (associated)"><span class="index-entry-level-1">Error rates for legendre_p (associated)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html#math_toolkit.sf_poly.legendre.table_legendre_p_associated_" title="Table 8.34. Error rates for legendre_p (associated)"><span class="index-entry-level-1">Error rates for legendre_p (associated)</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html" title="Legendre (and Associated) Polynomials"><span class="index-entry-level-1">Legendre (and Associated) Polynomials</span></a></p></li>
</ul></div>
</li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Library Comparison with GNU C++ version 5.3.0 on linux</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.8. Library Comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">assoc_laguerre</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.8. Library Comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">GSL</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.8. Library Comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">Rmath</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Library Comparison with Microsoft Visual C++ version 14.0 on Windows x64</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 20.7. Library Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">cbrt</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 21.7. Library Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">cbrt</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Linpack Benchmark</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/multiprecision.html#math_toolkit.multiprecision.linpack_time" title="Table 20.2. Linpack Benchmark"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/multiprecision.html#math_toolkit.multiprecision.linpack_time" title="Table 20.2. Linpack Benchmark"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/multiprecision.html#math_toolkit.multiprecision.linpack_time" title="Table 21.2. Linpack Benchmark"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/multiprecision.html#math_toolkit.multiprecision.linpack_time" title="Table 21.2. Linpack Benchmark"><span class="index-entry-level-1">multiprecision</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Ljung-Box Test</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ljung_box.html" title="The Ljung-Box Test"><span class="index-entry-level-1">file</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ljung_box.html" title="The Ljung-Box Test"><span class="index-entry-level-1">ljung_box</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ljung_box.html" title="The Ljung-Box Test"><span class="index-entry-level-1">v</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">ljung_box</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ljung_box.html" title="The Ljung-Box Test"><span class="index-entry-level-1">The Ljung-Box Test</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">llrint</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">double</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">epsilon</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">expression</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">zero</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">Log Normal Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">log_hypergeometric_1F1</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">Hypergeometric 1 F 1</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">lookup</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">Automatic Differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants_faq.html" title="Math Constants FAQs"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants_faq.html" title="Math Constants FAQs"><span class="index-entry-level-1">FAQ</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants_faq.html" title="Math Constants FAQs"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants_faq.html" title="Math Constants FAQs"><span class="index-entry-level-1">values</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Mathematical Constants</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../constants.html" title="Chapter 4. Mathematical Constants"><span class="index-entry-level-1">constants</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants.html#math_toolkit.constants.mathematical_constants" title="Table 4.1. Mathematical Constants"><span class="index-entry-level-1">2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../constants.html" title="Chapter 4. Mathematical Constants"><span class="index-entry-level-1">constants</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Mathematically Undefined Function Policies</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bivariate_statistics.html" title="Bivariate Statistics"><span class="index-entry-level-1">Bivariate Statistics</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mean_and_sample_variance</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">Univariate Statistics</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">median</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">Additional Implementation Notes</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/nmp.html" title="Non-Member Properties"><span class="index-entry-level-1">Non-Member Properties</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/runs_test.html" title="Runs tests"><span class="index-entry-level-1">Runs tests</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">Univariate Statistics</span></a></p></li>
</ul></div>
</li>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/minimax.html" title="Minimax Approximations and the Remez Algorithm"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/minimax.html" title="Minimax Approximations and the Remez Algorithm"><span class="index-entry-level-1">converge</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/minimax.html" title="Minimax Approximations and the Remez Algorithm"><span class="index-entry-level-1">directory</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/minimax.html" title="Minimax Approximations and the Remez Algorithm"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/minimax.html" title="Minimax Approximations and the Remez Algorithm"><span class="index-entry-level-1">R</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/minimax.html" title="Minimax Approximations and the Remez Algorithm"><span class="index-entry-level-1">Y</span></a></p></li>
</ul></div>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">Automatic Differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/number_series/bernoulli_numbers.html" title="Bernoulli Numbers"><span class="index-entry-level-1">Bernoulli Numbers</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">Boost.Math Frequently Asked Questions (FAQs)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/result_type.html" title="Calculation of the Type of the Result"><span class="index-entry-level-1">Calculation of the Type of the Result</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/cbrt_comparison.html" title="Comparison of Cube Root Finding Algorithms"><span class="index-entry-level-1">Comparison of Cube Root Finding Algorithms</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html" title="Comparison of Elliptic Integral Root Finding Algoritghms"><span class="index-entry-level-1">Comparison of Elliptic Integral Root Finding Algoritghms</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html" title="Comparison of Nth-root Finding Algorithms"><span class="index-entry-level-1">Comparison of Nth-root Finding Algorithms</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/multiprecision.html" title="Cost of High-Precision Non-built-in Floating-point"><span class="index-entry-level-1">Cost of High-Precision Non-built-in Floating-point</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">Credits and Acknowledgements</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/new_const.html" title="Defining New Constants"><span class="index-entry-level-1">Defining New Constants</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">Directory and File Structure</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Examples"><span class="index-entry-level-1">Distribution Construction Examples</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_intro.html" title="Elliptic Integral Overview"><span class="index-entry-level-1">Elliptic Integral Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/airy/airy_root.html" title="Finding Zeros of Airy Functions"><span class="index-entry-level-1">Finding Zeros of Airy Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_root.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Finding Zeros of Bessel Functions of the First and Second Kinds</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values"><span class="index-entry-level-1">Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">Gauss-Legendre quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">Generalizing to Compute the nth root</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_pfq.html" title="Hypergeometric pFq"><span class="index-entry-level-1">Hypergeometric p F q</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_impl.html" title="Implementation"><span class="index-entry-level-1">Implementation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/float128.html" title="Implementation of Float128 type"><span class="index-entry-level-1">Implementation of Float128 type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants_intro.html" title="Introduction"><span class="index-entry-level-1">Introduction</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/jacobi_zeta.html" title="Jacobi Zeta Function"><span class="index-entry-level-1">Jacobi Zeta Function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Lambert W function</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/multiprecision.html#math_toolkit.multiprecision.linpack_time" title="Table 20.2. Linpack Benchmark"><span class="index-entry-level-1">Linpack Benchmark</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/multiprecision.html#math_toolkit.multiprecision.linpack_time" title="Table 21.2. Linpack Benchmark"><span class="index-entry-level-1">Linpack Benchmark</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">Locating Function Minima using Brent's algorithm</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants_faq.html" title="Math Constants FAQs"><span class="index-entry-level-1">Math Constants FAQs</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/norms.html" title="Norms"><span class="index-entry-level-1">Norms</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/specified_typedefs.html" title="Overview"><span class="index-entry-level-1">Overview</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jac_over.html" title="Overview of the Jacobi Elliptic Functions"><span class="index-entry-level-1">Overview of the Jacobi Elliptic Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/multiprecision_root.html" title="Root-finding using Boost.Multiprecision"><span class="index-entry-level-1">Root-finding using Boost.Multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">Signal Statistics</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">Testing</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/trigamma.html" title="Trigamma"><span class="index-entry-level-1">Trigamma</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">Univariate Statistics</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../using_udt.html" title="Chapter 18. Use with User-Defined Floating-Point Types - Boost.Multiprecision and others"><span class="index-entry-level-1">Use with User-Defined Floating-Point Types - Boost.Multiprecision and others</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../using_udt.html" title="Chapter 19. Use with User-Defined Floating-Point Types - Boost.Multiprecision and others"><span class="index-entry-level-1">Use with User-Defined Floating-Point Types - Boost.Multiprecision and others</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/user_def.html" title="Use With User-Defined Types"><span class="index-entry-level-1">Use With User-Defined Types</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries"><span class="index-entry-level-1">Using Boost.Math with High-Precision Floating-Point Libraries</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">Using Boost.Multiprecision</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">cancel</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">integrate</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">naive_monte_carlo</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">update_target_error</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution"><span class="index-entry-level-1">p</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution"><span class="index-entry-level-1">r</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution"><span class="index-entry-level-1">values</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">non_central_beta</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">non_central_beta_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">values</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">non_central_chi_squared_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">v</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">values</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
</li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">normalize</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">Hypergeometric 1 F 1</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">normal_distribution</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">Normal (Gaussian) Distribution</span></a></p></li></ul></div>
</li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">not</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test"><span class="index-entry-level-1">Comparing the means of two samples with the Students-t test</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fp_facets/facets_intro.html" title="Introduction"><span class="index-entry-level-1">Introduction</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_overview.html" title="Overview"><span class="index-entry-level-1">Overview</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_non_mem.html" title="Quaternion Non-Member Operators"><span class="index-entry-level-1">Quaternion Non-Member Operators</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Numerical Differentiation</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html" title="Numerical Differentiation"><span class="index-entry-level-1">10</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html" title="Numerical Differentiation"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html" title="Numerical Differentiation"><span class="index-entry-level-1">complex_step_derivative</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html" title="Numerical Differentiation"><span class="index-entry-level-1">constants</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html" title="Numerical Differentiation"><span class="index-entry-level-1">differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html" title="Numerical Differentiation"><span class="index-entry-level-1">finite_difference_derivative</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff.html" title="Numerical Differentiation"><span class="index-entry-level-1">Lanczos approximation</span></a></p></li>
</ul></div>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/autodiff.html" title="Automatic Differentiation"><span class="index-entry-level-1">Automatic Differentiation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html" title="Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Bessel Functions of the First and Second Kinds</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">Empirical Cumulative Distribution Function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff0.html" title="Lanczos Smoothing Derivatives"><span class="index-entry-level-1">Lanczos Smoothing Derivatives</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Modified Bessel Functions of the First and Second Kinds</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">tanh_sinh</span></a></p></li>
<p><span class="index-entry-level-0">Octonion Member Functions</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_mem_fun.html" title="Octonion Member Functions"><span class="index-entry-level-1">constructors</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_mem_fun.html" title="Octonion Member Functions"><span class="index-entry-level-1">file</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_mem_fun.html" title="Octonion Member Functions"><span class="index-entry-level-1">octonion</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_mem_fun.html" title="Octonion Member Functions"><span class="index-entry-level-1">unreal</span></a></p></li>
</ul></div>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_value_ops.html" title="Octonion Value Operations"><span class="index-entry-level-1">conj</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_value_ops.html" title="Octonion Value Operations"><span class="index-entry-level-1">l1</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_value_ops.html" title="Octonion Value Operations"><span class="index-entry-level-1">norm</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_value_ops.html" title="Octonion Value Operations"><span class="index-entry-level-1">of</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_value_ops.html" title="Octonion Value Operations"><span class="index-entry-level-1">sup</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_value_ops.html" title="Octonion Value Operations"><span class="index-entry-level-1">unreal</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">odd</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">Hypergeometric 1 F 1</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">of</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">Chebyshev Polynomials</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution"><span class="index-entry-level-1">Hyperexponential Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre.html" title="Legendre (and Associated) Polynomials"><span class="index-entry-level-1">Legendre (and Associated) Polynomials</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_value_ops.html" title="Octonion Value Operations"><span class="index-entry-level-1">Octonion Value Operations</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/value_op.html" title="Quaternion Value Operations"><span class="index-entry-level-1">Quaternion Value Operations</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/sph_harm.html" title="Spherical Harmonics"><span class="index-entry-level-1">Spherical Harmonics</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">tanh_sinh</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">one_sample_t_test</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/t_test.html" title="t-tests"><span class="index-entry-level-1">t -tests</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">ooura_fourier_cos</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">Fourier Integrals</span></a></p></li></ul></div>
</li>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/elliptic_eg.html" title="A More complex example - Inverting the Elliptic Integrals"><span class="index-entry-level-1">A More complex example - Inverting the Elliptic Integrals</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">Barycentric Rational Interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">Cardinal Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quadratic_b.html" title="Cardinal Quadratic B-spline interpolation"><span class="index-entry-level-1">Cardinal Quadratic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation"><span class="index-entry-level-1">Cardinal Quintic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">Cardinal Trigonometric interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">Catmull-Rom Splines</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">Chebyshev Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/5th_root_eg.html" title="Computing the Fifth Root"><span class="index-entry-level-1">Computing the Fifth Root</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cond.html" title="Condition Numbers"><span class="index-entry-level-1">Condition Numbers</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/cf.html" title="Continued Fraction Evaluation"><span class="index-entry-level-1">Continued Fraction Evaluation</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">Cubic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">Empirical Cumulative Distribution Function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">Finding the Cubed Root With and Without Derivatives</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/nth_root.html" title="Generalizing to Compute the nth root"><span class="index-entry-level-1">Generalizing to Compute the nth root</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">Graphing, Profiling, and Generating Test Data for Special Functions</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">Signal Statistics</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
-<p><span class="index-entry-level-0">overflow_error_type</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
+<p><span class="index-entry-level-0">Other Hints and tips</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hints.html" title="Other Hints and tips"><span class="index-entry-level-1">branch</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hints.html" title="Other Hints and tips"><span class="index-entry-level-1">GIT</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hints.html" title="Other Hints and tips"><span class="index-entry-level-1">Trac</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
-<p><span class="index-entry-level-0">Overvew of the Jacobi Elliptic Functions</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jac_over.html" title="Overvew of the Jacobi Elliptic Functions"><span class="index-entry-level-1">expression</span></a></p></li></ul></div>
+<p><span class="index-entry-level-0">overflow_error_type</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Overview</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">exp_sinh</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_overview.html" title="Overview"><span class="index-entry-level-1">file</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_overview.html" title="Overview"><span class="index-entry-level-1">i</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">integrate</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/specified_typedefs.html" title="Overview"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_overview.html" title="Overview"><span class="index-entry-level-1">not</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">sinh_sinh</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">tanh_sinh</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/oct_overview.html" title="Overview"><span class="index-entry-level-1">x</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Overview of the Jacobi Elliptic Functions</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jac_over.html" title="Overview of the Jacobi Elliptic Functions"><span class="index-entry-level-1">expression</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/jacobi/jac_over.html" title="Overview of the Jacobi Elliptic Functions"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Owen's T function</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/owens_t.html" title="Owen's T function"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/owens_t.html" title="Owen's T function"><span class="index-entry-level-1">G</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/owens_t.html" title="Owen's T function"><span class="index-entry-level-1">owens_t</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/owens_t.html" title="Owen's T function"><span class="index-entry-level-1">series</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/owens_t.html" title="Owen's T function"><span class="index-entry-level-1">values</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">P</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">Boost.Math Frequently Asked Questions (FAQs)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">Cardinal Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">Catmull-Rom Splines</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html" title="Digamma"><span class="index-entry-level-1">Digamma</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dist_algorithms.html" title="Distribution Algorithms"><span class="index-entry-level-1">Distribution Algorithms</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example"><span class="index-entry-level-1">Find Location (Mean) Example</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/config_macros.html#math_toolkit.config_macros.boost_math_tuning" title="Table 1.12. Boost.Math Tuning"><span class="index-entry-level-1">Boost.Math Tuning</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/cardinal_b_splines.html" title="Cardinal B-splines"><span class="index-entry-level-1">Cardinal B-splines</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">Cardinal Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">Catmull-Rom Splines</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comp_compilers.html" title="Comparing Different Compilers"><span class="index-entry-level-1">Comparing Different Compilers</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/cbrt_comparison.html" title="Comparison of Cube Root Finding Algorithms"><span class="index-entry-level-1">Comparison of Cube Root Finding Algorithms</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html" title="Comparisons to Other Open Source Libraries"><span class="index-entry-level-1">Comparisons to Other Open Source Libraries</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/ct_pow.html" title="Compile Time Power of a Runtime Base"><span class="index-entry-level-1">Compile Time Power of a Runtime Base</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hankel/cyl_hankel.html" title="Cyclic Hankel Functions"><span class="index-entry-level-1">Cyclic Hankel Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/directories.html" title="Directory and File Structure"><span class="index-entry-level-1">Directory and File Structure</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/dist_params.html" title="Discrete Probability Distributions"><span class="index-entry-level-1">Discrete Probability Distributions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.9. Distribution performance comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">Distribution performance comparison with GNU C++ version 5.3.0 on linux</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">Empirical Cumulative Distribution Function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">Finding the Cubed Root With and Without Derivatives</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">Fourier Integrals</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution"><span class="index-entry-level-1">Gamma (and Erlang) Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/gegenbauer.html" title="Gegenbauer Polynomials"><span class="index-entry-level-1">Gegenbauer Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/getting_best.html" title="Getting the Best Performance from this Library: Compiler and Compiler Options"><span class="index-entry-level-1">Getting the Best Performance from this Library: Compiler and Compiler Options</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution"><span class="index-entry-level-1">Hyperexponential Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1"><span class="index-entry-level-1">Hypergeometric 1 F 1</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/interp.html" title="Interpreting these Results"><span class="index-entry-level-1">Interpreting these Results</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">Inverse Chi-Squared Distribution Bayes Example</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/rational.html" title="Polynomial and Rational Function Evaluation"><span class="index-entry-level-1">Polynomial and Rational Function Evaluation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/polynomials.html" title="Polynomials"><span class="index-entry-level-1">Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_deriv.html" title="Root Finding With Derivatives: Newton-Raphson, Halley & Schröder"><span class="index-entry-level-1">Root Finding With Derivatives: Newton-Raphson, Halley & Schröder</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/runs_test.html" title="Runs tests"><span class="index-entry-level-1">Runs tests</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">Signal Statistics</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/t_test.html" title="t-tests"><span class="index-entry-level-1">t -tests</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">tanh_sinh</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">Testing</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/anderson_darling.html" title="The Anderson-Darling Test"><span class="index-entry-level-1">The Anderson-Darling Test</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_test_app.html" title="The Performance Test Applications"><span class="index-entry-level-1">The Performance Test Applications</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tradoffs.html" title="Trading Accuracy for Performance"><span class="index-entry-level-1">Trading Accuracy for Performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">Trapezoidal Quadrature</span></a></p></li>
<p><span class="index-entry-level-0">Performance Test Applications</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_test_app.html" title="The Performance Test Applications"><span class="index-entry-level-1">DCDFLIB</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_test_app.html" title="The Performance Test Applications"><span class="index-entry-level-1">directory</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_test_app.html" title="The Performance Test Applications"><span class="index-entry-level-1">GSL</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_test_app.html" title="The Performance Test Applications"><span class="index-entry-level-1">performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_test_app.html" title="The Performance Test Applications"><span class="index-entry-level-1">Rmath</span></a></p></li>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Polynomial Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tuning.html#math_toolkit.tuning.table_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 20.3. Polynomial Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">2</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tuning.html#math_toolkit.tuning.table_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 21.3. Polynomial Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">2</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Polynomials</span></p>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">positive</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">Gauss-Kronrod Quadrature</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">Gauss-Legendre quadrature</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">powm1</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/powm1.html" title="powm1"><span class="index-entry-level-1">accuracy</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 21.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">Error rates for boost::math::powm1</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 22.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">Error rates for boost::math::powm1</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/powers/powm1.html" title="powm1"><span class="index-entry-level-1">powm1</span></a></strong></span></p></li>
</ul></div>
</li>
<p><span class="index-entry-level-0">prime</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">Barycentric Rational Interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">Cardinal Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quadratic_b.html" title="Cardinal Quadratic B-spline interpolation"><span class="index-entry-level-1">Cardinal Quadratic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation"><span class="index-entry-level-1">Cardinal Quintic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">Cardinal Trigonometric interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">Catmull-Rom Splines</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">Chebyshev Polynomials</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre_stieltjes.html" title="Legendre-Stieltjes Polynomials"><span class="index-entry-level-1">Legendre-Stieltjes Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/polynomials.html" title="Polynomials"><span class="index-entry-level-1">Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/number_series/primes.html" title="Prime Numbers"><span class="index-entry-level-1">Prime Numbers</span></a></p></li>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">Chebyshev Polynomials</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
-<p><span class="index-entry-level-0">quadratic_roots</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_deriv.html" title="Root Finding With Derivatives: Newton-Raphson, Halley & Schröder"><span class="index-entry-level-1">Root Finding With Derivatives: Newton-Raphson, Halley & Schröder</span></a></p></li></ul></div>
+<p><span class="index-entry-level-0">quadrature</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_intro.html" title="About the Math Toolkit"><span class="index-entry-level-1">About the Math Toolkit</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_caveats.html" title="Caveats"><span class="index-entry-level-1">Caveats</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/credits.html" title="Credits and Acknowledgements"><span class="index-entry-level-1">Credits and Acknowledgements</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential.html" title="Double-exponential quadrature"><span class="index-entry-level-1">Double-exponential quadrature</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_exp_sinh.html" title="exp_sinh"><span class="index-entry-level-1">exp_sinh</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fourier_integrals.html" title="Fourier Integrals"><span class="index-entry-level-1">Fourier Integrals</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss_kronrod.html" title="Gauss-Kronrod Quadrature"><span class="index-entry-level-1">Gauss-Kronrod Quadrature</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/gauss.html" title="Gauss-Legendre quadrature"><span class="index-entry-level-1">Gauss-Legendre quadrature</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh_2_arg.html" title="Handling functions with large features near an endpoint with tanh-sinh quadrature"><span class="index-entry-level-1">Handling functions with large features near an endpoint with tanh-sinh quadrature</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Lambert W function</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre_stieltjes.html" title="Legendre-Stieltjes Polynomials"><span class="index-entry-level-1">Legendre-Stieltjes Polynomials</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">Naive Monte Carlo Integration</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">Overview</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../quadrature.html" title="Chapter 13. Quadrature and Differentiation"><span class="index-entry-level-1">Quadrature and Differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_refes.html" title="References"><span class="index-entry-level-1">References</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_levels.html" title="Setting the Maximum Interval Halvings and Memory Requirements"><span class="index-entry-level-1">Setting the Maximum Interval Halvings and Memory Requirements</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tol.html" title="Setting the Termination Condition for Integration"><span class="index-entry-level-1">Setting the Termination Condition for Integration</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_sinh_sinh.html" title="sinh_sinh"><span class="index-entry-level-1">sinh_sinh</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">tanh_sinh</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/anderson_darling.html" title="The Anderson-Darling Test"><span class="index-entry-level-1">The Anderson-Darling Test</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">Trapezoidal Quadrature</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Quadrature and Differentiation</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../quadrature.html" title="Chapter 13. Quadrature and Differentiation"><span class="index-entry-level-1">differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../quadrature.html" title="Chapter 13. Quadrature and Differentiation"><span class="index-entry-level-1">quadrature</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">quantile</span></p>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Quaternion Non-Member Operators</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_non_mem.html" title="Quaternion Non-Member Operators"><span class="index-entry-level-1">quaternion</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_non_mem.html" title="Quaternion Non-Member Operators"><span class="index-entry-level-1">not</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_non_mem.html" title="Quaternion Non-Member Operators"><span class="index-entry-level-1">quaternion</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Quaternion Specializations</span></p>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/value_op.html" title="Quaternion Value Operations"><span class="index-entry-level-1">conj</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/value_op.html" title="Quaternion Value Operations"><span class="index-entry-level-1">l1</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/value_op.html" title="Quaternion Value Operations"><span class="index-entry-level-1">norm</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/value_op.html" title="Quaternion Value Operations"><span class="index-entry-level-1">of</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/value_op.html" title="Quaternion Value Operations"><span class="index-entry-level-1">sup</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/value_op.html" title="Quaternion Value Operations"><span class="index-entry-level-1">unreal</span></a></p></li>
</ul></div>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">Barycentric Rational Interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html" title="Digamma"><span class="index-entry-level-1">Digamma</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ellint/ellint_intro.html" title="Elliptic Integral Overview"><span class="index-entry-level-1">Elliptic Integral Overview</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Function erf and complement erfc"><span class="index-entry-level-1">Error Function erf and complement erfc</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_inv.html" title="Error Function Inverses"><span class="index-entry-level-1">Error Function Inverses</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">Error Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/expint/expint_i.html" title="Exponential Integral Ei"><span class="index-entry-level-1">Exponential Integral Ei</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/lgamma.html" title="Log Gamma"><span class="index-entry-level-1">Log Gamma</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/minimax.html" title="Minimax Approximations and the Remez Algorithm"><span class="index-entry-level-1">Minimax Approximations and the Remez Algorithm</span></a></p></li>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Rational Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tuning.html#math_toolkit.tuning.table_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 20.4. Rational Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">2</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tuning.html#math_toolkit.tuning.table_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table 21.4. Rational Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">2</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Ratios of Gamma Functions</span></p>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/refs.html" title="References"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/refs.html" title="References"><span class="index-entry-level-1">Cephes</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/refs.html" title="References"><span class="index-entry-level-1">DCDFLIB</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_refes.html" title="References"><span class="index-entry-level-1">integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/refs.html" title="References"><span class="index-entry-level-1">Lanczos approximation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_refes.html" title="References"><span class="index-entry-level-1">quadrature</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/remez.html" title="The Remez Method"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/remez.html" title="The Remez Method"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/remez.html" title="The Remez Method"><span class="index-entry-level-1">expression</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/remez.html" title="The Remez Method"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/remez.html" title="The Remez Method"><span class="index-entry-level-1">P</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/remez.html" title="The Remez Method"><span class="index-entry-level-1">R</span></a></p></li>
</ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/catmull_rom.html" title="Catmull-Rom Splines"><span class="index-entry-level-1">Catmull-Rom Splines</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">return_data</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">Empirical Cumulative Distribution Function</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">return_x</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">Barycentric Rational Interpolation</span></a></p></li></ul></div>
</li>
<p><span class="index-entry-level-0">Rmath</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html" title="Comparisons to Other Open Source Libraries"><span class="index-entry-level-1">Comparisons to Other Open Source Libraries</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Distribution_performance_comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.9. Distribution performance comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">Distribution performance comparison with GNU C++ version 5.3.0 on linux</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/logs.html" title="Error Logs For Error Rate Tables"><span class="index-entry-level-1">Error Logs For Error Rate Tables</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_function.html#math_toolkit.sf_beta.beta_function.table_beta" title="Table 7.17. Error rates for beta"><span class="index-entry-level-1">Error rates for beta</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 21.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">Error rates for boost::math::powm1</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i" title="Table 7.45. Error rates for cyl_bessel_i"><span class="index-entry-level-1">Error rates for cyl_bessel_i</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 7.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_i (integer orders)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j" title="Table 7.41. Error rates for cyl_bessel_j"><span class="index-entry-level-1">Error rates for cyl_bessel_j</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 7.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_j (integer orders)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k" title="Table 7.47. Error rates for cyl_bessel_k"><span class="index-entry-level-1">Error rates for cyl_bessel_k</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 7.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_k (integer orders)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann" title="Table 7.43. Error rates for cyl_neumann"><span class="index-entry-level-1">Error rates for cyl_neumann</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 7.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">Error rates for cyl_neumann (integer orders)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html#math_toolkit.sf_gamma.digamma.table_digamma" title="Table 7.4. Error rates for digamma"><span class="index-entry-level-1">Error rates for digamma</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/expm1.html#math_toolkit.powers.expm1.table_expm1" title="Table 7.82. Error rates for expm1"><span class="index-entry-level-1">Error rates for expm1</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 7.9. Error rates for gamma_p"><span class="index-entry-level-1">Error rates for gamma_p</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_p_inv" title="Table 7.13. Error rates for gamma_p_inv"><span class="index-entry-level-1">Error rates for gamma_p_inv</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 7.10. Error rates for gamma_q"><span class="index-entry-level-1">Error rates for gamma_q</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_q_inv" title="Table 7.14. Error rates for gamma_q_inv"><span class="index-entry-level-1">Error rates for gamma_q_inv</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibeta" title="Table 7.18. Error rates for ibeta"><span class="index-entry-level-1">Error rates for ibeta</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibetac" title="Table 7.19. Error rates for ibetac"><span class="index-entry-level-1">Error rates for ibetac</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_inv_function.html#math_toolkit.sf_beta.ibeta_inv_function.table_ibetac_inv" title="Table 7.23. Error rates for ibetac_inv"><span class="index-entry-level-1">Error rates for ibetac_inv</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_inv_function.html#math_toolkit.sf_beta.ibeta_inv_function.table_ibeta_inv" title="Table 7.22. Error rates for ibeta_inv"><span class="index-entry-level-1">Error rates for ibeta_inv</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/lgamma.html#math_toolkit.sf_gamma.lgamma.table_lgamma" title="Table 7.3. Error rates for lgamma"><span class="index-entry-level-1">Error rates for lgamma</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/log1p.html#math_toolkit.powers.log1p.table_log1p" title="Table 7.81. Error rates for log1p"><span class="index-entry-level-1">Error rates for log1p</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/beta_function.html#math_toolkit.sf_beta.beta_function.table_beta" title="Table 8.17. Error rates for beta"><span class="index-entry-level-1">Error rates for beta</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table 22.7. Error rates for boost::math::powm1"><span class="index-entry-level-1">Error rates for boost::math::powm1</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i" title="Table 8.45. Error rates for cyl_bessel_i"><span class="index-entry-level-1">Error rates for cyl_bessel_i</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_i_integer_orders_" title="Table 8.44. Error rates for cyl_bessel_i (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_i (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j" title="Table 8.41. Error rates for cyl_bessel_j"><span class="index-entry-level-1">Error rates for cyl_bessel_j</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_bessel_j_integer_orders_" title="Table 8.40. Error rates for cyl_bessel_j (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_j (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k" title="Table 8.47. Error rates for cyl_bessel_k"><span class="index-entry-level-1">Error rates for cyl_bessel_k</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html#math_toolkit.bessel.mbessel.table_cyl_bessel_k_integer_orders_" title="Table 8.46. Error rates for cyl_bessel_k (integer orders)"><span class="index-entry-level-1">Error rates for cyl_bessel_k (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann" title="Table 8.43. Error rates for cyl_neumann"><span class="index-entry-level-1">Error rates for cyl_neumann</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html#math_toolkit.bessel.bessel_first.table_cyl_neumann_integer_orders_" title="Table 8.42. Error rates for cyl_neumann (integer orders)"><span class="index-entry-level-1">Error rates for cyl_neumann (integer orders)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/digamma.html#math_toolkit.sf_gamma.digamma.table_digamma" title="Table 8.4. Error rates for digamma"><span class="index-entry-level-1">Error rates for digamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/expm1.html#math_toolkit.powers.expm1.table_expm1" title="Table 8.82. Error rates for expm1"><span class="index-entry-level-1">Error rates for expm1</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 8.9. Error rates for gamma_p"><span class="index-entry-level-1">Error rates for gamma_p</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_p_inv" title="Table 8.13. Error rates for gamma_p_inv"><span class="index-entry-level-1">Error rates for gamma_p_inv</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 8.10. Error rates for gamma_q"><span class="index-entry-level-1">Error rates for gamma_q</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma_inv.html#math_toolkit.sf_gamma.igamma_inv.table_gamma_q_inv" title="Table 8.14. Error rates for gamma_q_inv"><span class="index-entry-level-1">Error rates for gamma_q_inv</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibeta" title="Table 8.18. Error rates for ibeta"><span class="index-entry-level-1">Error rates for ibeta</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_function.html#math_toolkit.sf_beta.ibeta_function.table_ibetac" title="Table 8.19. Error rates for ibetac"><span class="index-entry-level-1">Error rates for ibetac</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_inv_function.html#math_toolkit.sf_beta.ibeta_inv_function.table_ibetac_inv" title="Table 8.23. Error rates for ibetac_inv"><span class="index-entry-level-1">Error rates for ibetac_inv</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_beta/ibeta_inv_function.html#math_toolkit.sf_beta.ibeta_inv_function.table_ibeta_inv" title="Table 8.22. Error rates for ibeta_inv"><span class="index-entry-level-1">Error rates for ibeta_inv</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/lgamma.html#math_toolkit.sf_gamma.lgamma.table_lgamma" title="Table 8.3. Error rates for lgamma"><span class="index-entry-level-1">Error rates for lgamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/powers/log1p.html#math_toolkit.powers.log1p.table_log1p" title="Table 8.81. Error rates for log1p"><span class="index-entry-level-1">Error rates for log1p</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html#math_toolkit.dist_ref.dists.nc_beta_dist.table_non_central_beta_CDF" title="Table 5.4. Error rates for non central beta CDF"><span class="index-entry-level-1">Error rates for non central beta CDF</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html#math_toolkit.dist_ref.dists.nc_beta_dist.table_non_central_beta_CDF_complement" title="Table 5.5. Error rates for non central beta CDF complement"><span class="index-entry-level-1">Error rates for non central beta CDF complement</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_chi_squared_dist.html#math_toolkit.dist_ref.dists.nc_chi_squared_dist.table_non_central_chi_squared_CDF" title="Table 5.6. Error rates for non central chi squared CDF"><span class="index-entry-level-1">Error rates for non central chi squared CDF</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_chi_squared_dist.html#math_toolkit.dist_ref.dists.nc_chi_squared_dist.table_non_central_chi_squared_CDF_complement" title="Table 5.7. Error rates for non central chi squared CDF complement"><span class="index-entry-level-1">Error rates for non central chi squared CDF complement</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_t_dist.html#math_toolkit.dist_ref.dists.nc_t_dist.table_non_central_t_CDF" title="Table 5.8. Error rates for non central t CDF"><span class="index-entry-level-1">Error rates for non central t CDF</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_t_dist.html#math_toolkit.dist_ref.dists.nc_t_dist.table_non_central_t_CDF_complement" title="Table 5.9. Error rates for non central t CDF complement"><span class="index-entry-level-1">Error rates for non central t CDF complement</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html#math_toolkit.sf_gamma.polygamma.table_polygamma" title="Table 7.6. Error rates for polygamma"><span class="index-entry-level-1">Error rates for polygamma</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma" title="Table 7.1. Error rates for tgamma"><span class="index-entry-level-1">Error rates for tgamma</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/trigamma.html#math_toolkit.sf_gamma.trigamma.table_trigamma" title="Table 7.5. Error rates for trigamma"><span class="index-entry-level-1">Error rates for trigamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html#math_toolkit.sf_gamma.polygamma.table_polygamma" title="Table 8.6. Error rates for polygamma"><span class="index-entry-level-1">Error rates for polygamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma" title="Table 8.1. Error rates for tgamma"><span class="index-entry-level-1">Error rates for tgamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/trigamma.html#math_toolkit.sf_gamma.trigamma.table_trigamma" title="Table 8.5. Error rates for trigamma"><span class="index-entry-level-1">Error rates for trigamma</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_GNU_C_version_5_3_0_on_linux" title="Table 21.8. Library Comparison with GNU C++ version 5.3.0 on linux"><span class="index-entry-level-1">Library Comparison with GNU C++ version 5.3.0 on linux</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_test_app.html" title="The Performance Test Applications"><span class="index-entry-level-1">The Performance Test Applications</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">root</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_0" title="Table 10.8. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11_1" title="Table 10.11. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_11" title="Table 10.5. 11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">11th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_0" title="Table 10.6. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5_1" title="Table 10.9. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_5" title="Table 10.3. 5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">5th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_0" title="Table 10.7. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7_1" title="Table 10.10. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/root_n_comparison.html#math_toolkit.root_comparison.root_n_comparison.root_7" title="Table 10.4. 7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">7th root(28) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/cbrt_comparison.html#math_toolkit.root_comparison.cbrt_comparison.cbrt_4" title="Table 10.1. Cube root(28) for float, double, long double and cpp_bin_float_50"><span class="index-entry-level-1">Cube root(28) for float, double, long double and cpp_bin_float_50</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples.html" title="Examples of Root-Finding (with and without derivatives)"><span class="index-entry-level-1">Examples of Root-Finding (with and without derivatives)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/cbrt_eg.html" title="Finding the Cubed Root With and Without Derivatives"><span class="index-entry-level-1">Finding the Cubed Root With and Without Derivatives</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_root.html" title="Finding Zeros of Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Finding Zeros of Bessel Functions of the First and Second Kinds</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Root Finding With Derivatives: Newton-Raphson, Halley & Schröder</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_deriv.html" title="Root Finding With Derivatives: Newton-Raphson, Halley & Schröder"><span class="index-entry-level-1">complex_newton</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_deriv.html" title="Root Finding With Derivatives: Newton-Raphson, Halley & Schröder"><span class="index-entry-level-1">halley_iterate</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_deriv.html" title="Root Finding With Derivatives: Newton-Raphson, Halley & Schröder"><span class="index-entry-level-1">newton_raphson_iterate</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_deriv.html" title="Root Finding With Derivatives: Newton-Raphson, Halley & Schröder"><span class="index-entry-level-1">performance</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_deriv.html" title="Root Finding With Derivatives: Newton-Raphson, Halley & Schröder"><span class="index-entry-level-1">quadratic_roots</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_deriv.html" title="Root Finding With Derivatives: Newton-Raphson, Halley & Schröder"><span class="index-entry-level-1">schroder_iterate</span></a></p></li>
</ul></div>
</li>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic0" title="Table 9.13. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic0" title="Table 10.13. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_AVX"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic1" title="Table 9.14. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic1" title="Table 10.14. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X64_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic" title="Table 9.12. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_comparison/elliptic_comparison.html#math_toolkit.root_comparison.elliptic_comparison.elliptic" title="Table 10.12. root with radius 28 and arc length 300) for float, double, long double and cpp_bin_float_50 types, using _X86_SSE2"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Root-finding using Boost.Multiprecision</span></p>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/c99.html" title="C99 C Functions"><span class="index-entry-level-1">C99 C Functions</span></a></p></li>
</ul></div>
</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Runs tests</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/runs_test.html" title="Runs tests"><span class="index-entry-level-1">median</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/runs_test.html" title="Runs tests"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/runs_test.html" title="Runs tests"><span class="index-entry-level-1">runs_above_and_below_median</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/runs_test.html" title="Runs tests"><span class="index-entry-level-1">runs_above_and_below_threshold</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">runs_above_and_below_median</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/runs_test.html" title="Runs tests"><span class="index-entry-level-1">Runs tests</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">runs_above_and_below_threshold</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/runs_test.html" title="Runs tests"><span class="index-entry-level-1">Runs tests</span></a></p></li></ul></div>
+</li>
</ul></div></dd>
<dt>
<a name="idx_id_147"></a><span class="term">S</span>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Setting the Maximum Interval Halvings and Memory Requirements</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_levels.html" title="Setting the Maximum Interval Halvings and Memory Requirements"><span class="index-entry-level-1">accuracy</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_levels.html" title="Setting the Maximum Interval Halvings and Memory Requirements"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_levels.html" title="Setting the Maximum Interval Halvings and Memory Requirements"><span class="index-entry-level-1">quadrature</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Setting the Termination Condition for Integration</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tol.html" title="Setting the Termination Condition for Integration"><span class="index-entry-level-1">integration</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tol.html" title="Setting the Termination Condition for Integration"><span class="index-entry-level-1">quadrature</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">set_zero</span></p>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">absolute_gini_coefficient</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">constants</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">GIT</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">hoyer_sparsity</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">m2m4_snr_estimator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/signal_statistics.html" title="Signal Statistics"><span class="index-entry-level-1">m2m4_snr_estimator_db</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_sinh_sinh.html" title="sinh_sinh"><span class="index-entry-level-1">eta</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_sinh_sinh.html" title="sinh_sinh"><span class="index-entry-level-1">i</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_sinh_sinh.html" title="sinh_sinh"><span class="index-entry-level-1">integrate</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_sinh_sinh.html" title="sinh_sinh"><span class="index-entry-level-1">integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">Overview</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_sinh_sinh.html" title="sinh_sinh"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/double_exponential/de_sinh_sinh.html" title="sinh_sinh"><span class="index-entry-level-1">sinh_sinh</span></a></strong></span></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_sinh_sinh.html" title="sinh_sinh"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/sph_harm.html" title="Spherical Harmonics"><span class="index-entry-level-1">2</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/sph_harm.html" title="Spherical Harmonics"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/sph_harm.html" title="Spherical Harmonics"><span class="index-entry-level-1">m</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/sph_harm.html" title="Spherical Harmonics"><span class="index-entry-level-1">of</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/sph_harm.html" title="Spherical Harmonics"><span class="index-entry-level-1">polar</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/sph_harm.html" title="Spherical Harmonics"><span class="index-entry-level-1">spherical_harmonic</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/sph_harm.html" title="Spherical Harmonics"><span class="index-entry-level-1">spherical_harmonic_i</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/students_t_dist.html" title="Students t Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/students_t_dist.html" title="Students t Distribution"><span class="index-entry-level-1">students_t</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/dist_ref/dists/students_t_dist.html" title="Students t Distribution"><span class="index-entry-level-1">students_t_distribution</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/students_t_dist.html" title="Students t Distribution"><span class="index-entry-level-1">Trac</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/students_t_dist.html" title="Students t Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
</li>
<p><span class="index-entry-level-0">support</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">Additional Implementation Notes</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_exp_sinh.html" title="exp_sinh"><span class="index-entry-level-1">exp_sinh</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/nmp.html" title="Non-Member Properties"><span class="index-entry-level-1">Non-Member Properties</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Supported/Tested Compilers</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/compilers_overview.html#math_toolkit.compilers_overview.supported_tested_compilers" title="Table 1.9. Supported/Tested Compilers"><span class="index-entry-level-1">BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/compilers_overview.html#math_toolkit.compilers_overview.supported_tested_compilers" title="Table 1.9. Supported/Tested Compilers"><span class="index-entry-level-1">BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/compilers_overview.html#math_toolkit.compilers_overview.supported_tested_compilers" title="Table 1.9. Supported/Tested Compilers"><span class="index-entry-level-1">bug</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">sup_distance</span></p>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution"><span class="index-entry-level-1">Calculating confidence intervals on the mean with the Students-t distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_t_dist.html#math_toolkit.dist_ref.dists.nc_t_dist.table_non_central_t_CDF" title="Table 5.8. Error rates for non central t CDF"><span class="index-entry-level-1">Error rates for non central t CDF</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_t_dist.html#math_toolkit.dist_ref.dists.nc_t_dist.table_non_central_t_CDF_complement" title="Table 5.9. Error rates for non central t CDF complement"><span class="index-entry-level-1">Error rates for non central t CDF complement</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/owens_t.html#math_toolkit.owens_t.table_owens_t" title="Table 7.86. Error rates for owens_t"><span class="index-entry-level-1">Error rates for owens_t</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/owens_t.html#math_toolkit.owens_t.table_owens_t" title="Table 8.86. Error rates for owens_t"><span class="index-entry-level-1">Error rates for owens_t</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_impl.html" title="Implementation"><span class="index-entry-level-1">Implementation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/rational.html" title="Polynomial and Rational Function Evaluation"><span class="index-entry-level-1">Polynomial and Rational Function Evaluation</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">t -tests</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/t_test.html" title="t-tests"><span class="index-entry-level-1">one_sample_t_test</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/t_test.html" title="t-tests"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/t_test.html" title="t-tests"><span class="index-entry-level-1">v</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Tables of the power function of the chi 2 test.</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html" title="Tables of the power function of the chi2 test."><span class="index-entry-level-1">distribution</span></a></p></li></ul></div>
</li>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">constants</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">file</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">integrate</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">O</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">of</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_overview.html" title="Overview"><span class="index-entry-level-1">Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">tanh_sinh</span></a></strong></span></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_tanh_sinh.html" title="tanh_sinh"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">term</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lanczos.html" title="The Lanczos Approximation"><span class="index-entry-level-1">The Lanczos Approximation</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Termination Condition Functors</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/roots_noderiv/root_termination.html" title="Termination Condition Functors"><span class="index-entry-level-1">eps_tolerance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">BOOST_MATH_NO_REAL_CONCEPT_TESTS</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">bug</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">defined</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">test</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">typeid</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">values</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/c99.html" title="C99 C Functions"><span class="index-entry-level-1">C99 C Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers"><span class="index-entry-level-1">Calling User Defined Error Handlers</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/pol_tutorial/ad_hoc_sf_policies.html" title="Changing the Policy on an Ad Hoc Basis for the Special Functions"><span class="index-entry-level-1">Changing the Policy on an Ad Hoc Basis for the Special Functions</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 7.9. Error rates for gamma_p"><span class="index-entry-level-1">Error rates for gamma_p</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 7.10. Error rates for gamma_q"><span class="index-entry-level-1">Error rates for gamma_q</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_incomplete_" title="Table 7.12. Error rates for tgamma (incomplete)"><span class="index-entry-level-1">Error rates for tgamma (incomplete)</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_lower" title="Table 7.11. Error rates for tgamma_lower"><span class="index-entry-level-1">Error rates for tgamma_lower</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_p" title="Table 8.9. Error rates for gamma_p"><span class="index-entry-level-1">Error rates for gamma_p</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_gamma_q" title="Table 8.10. Error rates for gamma_q"><span class="index-entry-level-1">Error rates for gamma_q</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_incomplete_" title="Table 8.12. Error rates for tgamma (incomplete)"><span class="index-entry-level-1">Error rates for tgamma (incomplete)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html#math_toolkit.sf_gamma.igamma.table_tgamma_lower" title="Table 8.11. Error rates for tgamma_lower"><span class="index-entry-level-1">Error rates for tgamma_lower</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html" title="Gamma"><span class="index-entry-level-1">Gamma</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/igamma.html" title="Incomplete Gamma Functions"><span class="index-entry-level-1">Incomplete Gamma Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/lgamma.html" title="Log Gamma"><span class="index-entry-level-1">Log Gamma</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">tgamma1pm1</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma1pm1" title="Table 7.2. Error rates for tgamma1pm1"><span class="index-entry-level-1">Error rates for tgamma1pm1</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html#math_toolkit.sf_gamma.tgamma.table_tgamma1pm1" title="Table 8.2. Error rates for tgamma1pm1"><span class="index-entry-level-1">Error rates for tgamma1pm1</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/tgamma.html" title="Gamma"><span class="index-entry-level-1">Gamma</span></a></p></li>
</ul></div>
</li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Tools For 3-Term Recurrence Relations</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">apply_recurrence_relation_backward</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">apply_recurrence_relation_forward</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">backward_recurrence_iterator</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">expression</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">forward_recurrence_iterator</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">value_type</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">total_variation</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/norms.html" title="Norms"><span class="index-entry-level-1">Norms</span></a></p></li></ul></div>
</li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Trac</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)"><span class="index-entry-level-1">Boost.Math Frequently Asked Questions (FAQs)</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/contact.html" title="Contact Info and Support"><span class="index-entry-level-1">Contact Info and Support</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Lambert W function</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hints.html" title="Other Hints and tips"><span class="index-entry-level-1">Other Hints and tips</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/students_t_dist.html" title="Students t Distribution"><span class="index-entry-level-1">Students t Distribution</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Trading Accuracy for Performance</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tradoffs.html" title="Trading Accuracy for Performance"><span class="index-entry-level-1">accuracy</span></a></p></li>
<p><span class="index-entry-level-0">Trapezoidal Quadrature</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">bug</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">constants</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">differentiation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">n</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">performance</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">quadrature</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"><span class="index-entry-level-1">trapezoidal</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">gini_coefficient</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">kurtosis</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">mean</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">mean_and_sample_variance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">median</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">median_absolute_deviation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/univariate_statistics.html" title="Univariate Statistics"><span class="index-entry-level-1">multiprecision</span></a></p></li>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Use with User-Defined Floating-Point Types - Boost.Multiprecision and others</span></p>
-<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../using_udt.html" title="Chapter 18. Use with User-Defined Floating-Point Types - Boost.Multiprecision and others"><span class="index-entry-level-1">multiprecision</span></a></p></li></ul></div>
+<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../using_udt.html" title="Chapter 19. Use with User-Defined Floating-Point Types - Boost.Multiprecision and others"><span class="index-entry-level-1">multiprecision</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Use With User-Defined Types</span></p>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/user_def.html" title="Use With User-Defined Types"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/user_def.html" title="Use With User-Defined Types"><span class="index-entry-level-1">construction_traits</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/user_def.html" title="Use With User-Defined Types"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/user_def.html" title="Use With User-Defined Types"><span class="index-entry-level-1">file</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/user_def.html" title="Use With User-Defined Types"><span class="index-entry-level-1">get</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/user_def.html" title="Use With User-Defined Types"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/user_def.html" title="Use With User-Defined Types"><span class="index-entry-level-1">performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">directory</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">multiprecision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">values</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Using With MPFR or GMP - High-Precision Floating-Point Library</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library"><span class="index-entry-level-1">expression</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library"><span class="index-entry-level-1">Lanczos approximation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_mpfr.html" title="Using With MPFR or GMP - High-Precision Floating-Point Library"><span class="index-entry-level-1">performance</span></a></p></li>
</ul></div>
<p><span class="index-entry-level-0">v</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/bessel_first.html" title="Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Bessel Functions of the First and Second Kinds</span></a></p></li>
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">Cubic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation"><span class="index-entry-level-1">Cardinal Cubic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation"><span class="index-entry-level-1">Cardinal Quintic B-spline interpolation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation"><span class="index-entry-level-1">Cardinal Trigonometric interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/hankel/cyl_hankel.html" title="Cyclic Hankel Functions"><span class="index-entry-level-1">Cyclic Hankel Functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function"><span class="index-entry-level-1">Empirical Cumulative Distribution Function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/diff0.html" title="Lanczos Smoothing Derivatives"><span class="index-entry-level-1">Lanczos Smoothing Derivatives</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Modified Bessel Functions of the First and Second Kinds</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">Noncentral Chi-Squared Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/bessel/sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds"><span class="index-entry-level-1">Spherical Bessel Functions of the First and Second Kinds</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/t_test.html" title="t-tests"><span class="index-entry-level-1">t -tests</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/anderson_darling.html" title="The Anderson-Darling Test"><span class="index-entry-level-1">The Anderson-Darling Test</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/ljung_box.html" title="The Ljung-Box Test"><span class="index-entry-level-1">The Ljung-Box Test</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/whittaker_shannon.html" title="Whittaker-Shannon interpolation"><span class="index-entry-level-1">Whittaker-Shannon interpolation</span></a></p></li>
</ul></div>
</li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">values</span></p>
+<div class="index"><ul class="index" style="list-style-type: none; ">
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">Cauchy-Lorentz Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/dist_params.html" title="Discrete Probability Distributions"><span class="index-entry-level-1">Discrete Probability Distributions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/overview/generic.html" title="Generic operations common to all distributions are non-member functions"><span class="index-entry-level-1">Generic operations common to all distributions are non-member functions</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">Geometric Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fp_facets/facets_intro.html" title="Introduction"><span class="index-entry-level-1">Introduction</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">Inverse Chi-Squared Distribution Bayes Example</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants_faq.html" title="Math Constants FAQs"><span class="index-entry-level-1">Math Constants FAQs</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution"><span class="index-entry-level-1">Negative Binomial Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">Noncentral Beta Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">Noncentral Chi-Squared Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/owens_t.html" title="Owen's T function"><span class="index-entry-level-1">Owen's T function</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">Testing</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">Using Boost.Multiprecision</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">value_type</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/arcine_dist.html" title="Arcsine Distribution"><span class="index-entry-level-1">Arcsine Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/octonion.html" title="Template Class octonion"><span class="index-entry-level-1">Template Class octonion</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat.html" title="Template Class quaternion"><span class="index-entry-level-1">Template Class quaternion</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special_tut/special_tut_test.html" title="Testing"><span class="index-entry-level-1">Testing</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/internals/recurrence.html" title="Tools For 3-Term Recurrence Relations"><span class="index-entry-level-1">Tools For 3-Term Recurrence Relations</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/triangular_dist.html" title="Triangular Distribution"><span class="index-entry-level-1">Triangular Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/uniform_dist.html" title="Uniform Distribution"><span class="index-entry-level-1">Uniform Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/weibull_dist.html" title="Weibull Distribution"><span class="index-entry-level-1">Weibull Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">variance</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
-<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/beta_dist.html" title="Beta Distribution"><span class="index-entry-level-1">Beta Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html" title="Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation"><span class="index-entry-level-1">Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">Geometric Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">Inverse Chi-Squared Distribution Bayes Example</span></a></p></li>
<p><span class="index-entry-level-0">Vector-valued Barycentric Rational Interpolation</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/vector_barycentric.html" title="Vector-valued Barycentric Rational Interpolation"><span class="index-entry-level-1">by</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/vector_barycentric.html" title="Vector-valued Barycentric Rational Interpolation"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/vector_barycentric.html" title="Vector-valued Barycentric Rational Interpolation"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/vector_barycentric.html" title="Vector-valued Barycentric Rational Interpolation"><span class="index-entry-level-1">performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/vector_barycentric.html" title="Vector-valued Barycentric Rational Interpolation"><span class="index-entry-level-1">prime</span></a></p></li>
<p><span class="index-entry-level-0">Whittaker-Shannon interpolation</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/whittaker_shannon.html" title="Whittaker-Shannon interpolation"><span class="index-entry-level-1">accuracy</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/whittaker_shannon.html" title="Whittaker-Shannon interpolation"><span class="index-entry-level-1">interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/whittaker_shannon.html" title="Whittaker-Shannon interpolation"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/whittaker_shannon.html" title="Whittaker-Shannon interpolation"><span class="index-entry-level-1">performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/whittaker_shannon.html" title="Whittaker-Shannon interpolation"><span class="index-entry-level-1">prime</span></a></p></li>
projects / platform / upstream / boost.git / blobdiff