Imported Upstream version 1.72.0

[platform/upstream/boost.git] / libs / math / doc / html / indexes / s01.html
diff --git a/libs/math/doc/html/indexes/s01.html b/libs/math/doc/html/indexes/s01.html

index 7417892..48af424 100644 (file)
--- a/libs/math/doc/html/indexes/s01.html
+++ b/libs/math/doc/html/indexes/s01.html
@@ -4,9 +4,9 @@
  <title>Function 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&#160;23.&#160;Indexes">
-<link rel="prev" href="../indexes.html" title="Chapter&#160;23.&#160;Indexes">
+<link rel="home" href="../index.html" title="Math Toolkit 2.11.0">
+<link rel="up" href="../indexes.html" title="Chapter&#160;24.&#160;Indexes">
+<link rel="prev" href="../indexes.html" title="Chapter&#160;24.&#160;Indexes">
  <link rel="next" href="s02.html" title="Class Index">
  </head>
  <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
@@ -24,7 +24,7 @@
  </div>
  <div class="section">
  <div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="idm45274473484352"></a>Function Index</h2></div></div></div>
+<a name="idm45565361864112"></a>Function Index</h2></div></div></div>
  <p><a class="link" href="s01.html#idx_id_0">1</a> <a class="link" href="s01.html#idx_id_1">2</a> <a class="link" href="s01.html#idx_id_2">4</a> <a class="link" href="s01.html#idx_id_5">A</a> <a class="link" href="s01.html#idx_id_6">B</a> <a class="link" href="s01.html#idx_id_7">C</a> <a class="link" href="s01.html#idx_id_8">D</a> <a class="link" href="s01.html#idx_id_9">E</a> <a class="link" href="s01.html#idx_id_10">F</a> <a class="link" href="s01.html#idx_id_11">G</a> <a class="link" href="s01.html#idx_id_12">H</a> <a class="link" href="s01.html#idx_id_13">I</a> <a class="link" href="s01.html#idx_id_14">J</a> <a class="link" href="s01.html#idx_id_15">K</a> <a class="link" href="s01.html#idx_id_16">L</a> <a class="link" href="s01.html#idx_id_17">M</a> <a class="link" href="s01.html#idx_id_18">N</a> <a class="link" href="s01.html#idx_id_19">O</a> <a class="link" href="s01.html#idx_id_20">P</a> <a class="link" href="s01.html#idx_id_21">Q</a> <a class="link" href="s01.html#idx_id_22">R</a> <a class="link" href="s01.html#idx_id_23">S</a> <a class="link" href="s01.html#idx_id_24">T</a> <a class="link" href="s01.html#idx_id_25">U</a> <a class="link" href="s01.html#idx_id_26">V</a> <a class="link" href="s01.html#idx_id_27">W</a> <a class="link" href="s01.html#idx_id_28">X</a> <a class="link" href="s01.html#idx_id_29">Y</a> <a class="link" href="s01.html#idx_id_30">Z</a></p>
  <div class="variablelist"><dl class="variablelist">
  <dt>
@@ -55,9 +55,10 @@
  <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&#160;4.1.&#160;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&#160;20.3.&#160;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&#160;20.4.&#160;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&#160;21.3.&#160;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&#160;21.4.&#160;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>
@@ -148,6 +149,18 @@
  <div class="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>
  </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">area</span></p>
  <div class="index"><ul class="index" style="list-style-type: none; ">
  <li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/tutorial/non_templ.html" title="Use in non-template code"><span class="index-entry-level-1">Use in non-template code</span></a></p></li>
@@ -195,6 +208,7 @@
  <div class="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&#160;21.8.&#160;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>
@@ -288,7 +302,7 @@
  <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&#160;7.20.&#160;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&#160;8.20.&#160;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>
@@ -344,7 +358,10 @@
  </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>
@@ -378,6 +395,22 @@
  <div class="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_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">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>
@@ -396,7 +429,7 @@
  <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&#160;20.7.&#160;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&#160;21.7.&#160;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>
@@ -656,10 +689,6 @@
  <div class="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">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">cylindrical</span></p>
  <div class="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_create.html" title="Octonion Creation Functions"><span class="index-entry-level-1">Octonion Creation Functions</span></a></p></li>
@@ -680,7 +709,7 @@
  <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&#160;7.44.&#160;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&#160;8.44.&#160;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>
@@ -705,7 +734,7 @@
  <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&#160;7.50.&#160;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&#160;8.50.&#160;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">
@@ -715,7 +744,7 @@
  <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&#160;7.40.&#160;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&#160;8.40.&#160;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>
@@ -731,7 +760,7 @@
  <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&#160;7.52.&#160;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&#160;8.52.&#160;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">
@@ -744,7 +773,7 @@
  <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&#160;7.46.&#160;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&#160;8.46.&#160;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>
@@ -769,7 +798,7 @@
  <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&#160;7.54.&#160;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&#160;8.54.&#160;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">
@@ -787,7 +816,7 @@
  <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&#160;7.42.&#160;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&#160;8.42.&#160;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>
@@ -803,7 +832,7 @@
  <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&#160;21.25.&#160;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&#160;22.25.&#160;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">
@@ -818,7 +847,6 @@
  <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>
@@ -828,6 +856,7 @@
  <div class="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>
@@ -894,7 +923,7 @@
  <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&#160;21.28.&#160;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&#160;22.28.&#160;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>
@@ -921,7 +950,7 @@
  <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&#160;21.30.&#160;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&#160;22.30.&#160;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>
@@ -949,7 +978,7 @@
  <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&#160;21.32.&#160;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&#160;22.32.&#160;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>
@@ -973,7 +1002,7 @@
  <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&#160;7.66.&#160;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&#160;8.66.&#160;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">
@@ -1010,7 +1039,7 @@
  <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>
@@ -1021,7 +1050,7 @@
  <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>
@@ -1123,8 +1152,8 @@
  <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&#160;7.78.&#160;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&#160;7.77.&#160;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&#160;8.78.&#160;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&#160;8.77.&#160;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>
@@ -1185,6 +1214,10 @@
  </dt>
  <dd><div class="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_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><a class="link" href="../math_toolkit/factorials/sf_falling_factorial.html" title="Falling Factorial"><span class="index-entry-level-0">falling_factorial</span></a></p></li>
  <li class="listitem" style="list-style-type: none">
  <p><span class="index-entry-level-0">fdim</span></p>
@@ -1349,6 +1382,10 @@
  </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">fpclassify</span></p>
  <div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
  </li>
@@ -1449,6 +1486,18 @@
  <div class="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" title="Incomplete Gamma Function Inverses"><span class="index-entry-level-1">Incomplete Gamma Function Inverses</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_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">get</span></p>
  <div class="index"><ul class="index" style="list-style-type: none; ">
  <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>
@@ -1531,6 +1580,34 @@
  </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><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>
@@ -1686,6 +1763,7 @@
  <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>
@@ -1708,8 +1786,8 @@
  <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&#160;7.13.&#160;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&#160;7.14.&#160;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&#160;8.13.&#160;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&#160;8.14.&#160;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">
@@ -1756,6 +1834,10 @@
  </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_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 Elliptic Function cd</span></a></p></li></ul></div>
  </li>
@@ -1772,10 +1854,18 @@
  <div class="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>
@@ -1796,6 +1886,10 @@
  <div class="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>
@@ -1820,9 +1914,11 @@
  <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>
@@ -1891,8 +1987,8 @@
  <div class="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&#160;7.36.&#160;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&#160;7.35.&#160;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&#160;8.36.&#160;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&#160;8.35.&#160;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>
@@ -1969,7 +2065,7 @@
  <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&#160;7.34.&#160;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&#160;8.34.&#160;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>
@@ -2012,6 +2108,10 @@
  </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>
@@ -2146,6 +2246,10 @@
  </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>
@@ -2255,10 +2359,15 @@
  <div class="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>
@@ -2429,6 +2538,20 @@
  <li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/quat_synopsis.html" title="Synopsis"><span class="index-entry-level-1">Synopsis</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">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>
  </ul></div></dd>
  <dt>
  <a name="idx_id_19"></a><span class="term">O</span>
@@ -2439,6 +2562,7 @@
  <div class="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>
@@ -2453,17 +2577,41 @@
  </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">operator</span></p>
  <div class="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>
@@ -2498,8 +2646,8 @@
  <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>
@@ -2534,9 +2682,16 @@
  </li>
  <li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_gamma/polygamma.html" title="Polygamma"><span class="index-entry-level-0">polygamma</span></a></p></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/logs_and_tables/all_table.html#math_toolkit.logs_and_tables.all_table.table_boost_math_powm1" title="Table&#160;21.7.&#160;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&#160;22.7.&#160;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>
@@ -2544,10 +2699,12 @@
  <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>
@@ -2565,10 +2722,6 @@
  <div class="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 &amp; Schr&#246;der"><span class="index-entry-level-1">Root Finding With Derivatives: Newton-Raphson, Halley &amp; Schr&#246;der</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>
  <div class="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/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>
@@ -2603,8 +2756,8 @@
  <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>
@@ -2678,6 +2831,10 @@
  <div class="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>
@@ -2732,6 +2889,24 @@
  </li>
  <li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/factorials/sf_rising_factorial.html" title="Rising Factorial"><span class="index-entry-level-0">rising_factorial</span></a></p></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&#160;10.8.&#160;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&#160;10.11.&#160;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&#160;10.5.&#160;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&#160;10.6.&#160;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&#160;10.9.&#160;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&#160;10.3.&#160;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&#160;10.7.&#160;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&#160;10.10.&#160;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&#160;10.4.&#160;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&#160;10.1.&#160;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">round</span></p>
  <div class="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>
@@ -2757,6 +2932,14 @@
  <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_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_23"></a><span class="term">S</span>
@@ -3045,7 +3228,6 @@
  <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>
@@ -3068,7 +3250,7 @@
  <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&#160;5.8.&#160;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&#160;5.9.&#160;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&#160;7.86.&#160;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&#160;8.86.&#160;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>
@@ -3081,6 +3263,10 @@
  <div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/number_series/tangent_numbers.html" title="Tangent Numbers"><span class="index-entry-level-1">Tangent Numbers</span></a></p></li></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">terms</span></p>
  <div class="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/nc_t_dist.html" title="Noncentral T Distribution"><span class="index-entry-level-1">Noncentral T Distribution</span></a></p></li></ul></div>
  </li>
@@ -3100,10 +3286,10 @@
  <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&#160;7.9.&#160;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&#160;7.10.&#160;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&#160;7.12.&#160;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&#160;7.11.&#160;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&#160;8.9.&#160;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&#160;8.10.&#160;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&#160;8.12.&#160;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&#160;8.11.&#160;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>
@@ -3114,7 +3300,7 @@
  <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&#160;7.2.&#160;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&#160;8.2.&#160;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>
@@ -3304,12 +3490,18 @@
  <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>
@@ -3323,9 +3515,26 @@
  </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">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>