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<title>Chapter&#160;22.&#160;Backgrounders</title>
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<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="index.html" title="Math Toolkit 2.10.0">
<link rel="home" href="index.html" title="Math Toolkit 2.11.0">
<link rel="up" href="index.html" title="Math Toolkit 2.11.0">
<link rel="prev" href="math_toolkit/perf_test_app.html" title="The Performance Test Applications">
<link rel="next" href="math_toolkit/sf_implementation.html" title="Additional Implementation Notes">
</head>

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<title>Chapter&#160;4.&#160;Mathematical Constants</title>
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<title>Chapter&#160;5.&#160;Statistical Distributions and Functions</title>
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<link rel="next" href="math_toolkit/stat_tut.html" title="Statistical Distributions Tutorial">
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<title>Chapter&#160;9.&#160;TR1 and C99 external "C" Functions</title>
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<title>Chapter&#160;17.&#160;Integer Utilities (Greatest Common Divisor and Least Common Multiple)</title>
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<link rel="prev" href="math_toolkit/oct_todo.html" title="To Do">
<link rel="next" href="internals.html" title="Chapter&#160;18.&#160;Internal Details: Series, Rationals and Continued Fractions, Testing, and Development Tools">
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<html>
<head>
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<title>Math Toolkit 2.10.0</title>
<title>Math Toolkit 2.11.0</title>
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<link rel="next" href="overview.html" title="Chapter&#160;1.&#160;Overview">
</head>
<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
@@ -22,7 +22,7 @@
<div class="titlepage">
<div>
<div><h1 class="title">
<a name="math_toolkit"></a>Math Toolkit 2.10.0</h1></div>
<a name="math_toolkit"></a>Math Toolkit 2.11.0</h1></div>
<div><div class="authorgroup">
<div class="author"><h3 class="author">
<span class="firstname">Nikhar</span> <span class="surname">Agrawal</span>
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</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"><p><small>Last revised: October 20, 2019 at 19:14:18 GMT</small></p></td>
<td align="left"><p><small>Last revised: October 26, 2019 at 09:59:59 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>

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<title>Chapter&#160;18.&#160;Internal Details: Series, Rationals and Continued Fractions, Testing, and Development Tools</title>
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<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
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<title>Chapter&#160;12.&#160;Interpolation</title>
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<title>Chapter&#160;14.&#160;Complex Number Functions</title>
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<link rel="next" href="../quaternions.html" title="Chapter&#160;15.&#160;Quaternions">

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<title>Implementation and Accuracy</title>
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<link rel="up" href="../inverse_complex.html" title="Chapter&#160;14.&#160;Complex Number Functions">
<link rel="prev" href="../inverse_complex.html" title="Chapter&#160;14.&#160;Complex Number Functions">
<link rel="next" href="asin.html" title="asin">

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<title>Condition Numbers</title>
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<link rel="up" href="../utils.html" title="Chapter&#160;2.&#160;Floating Point Utilities">
<link rel="prev" href="float_comparison.html" title="Floating-point Comparison">
<link rel="next" href="../cstdfloat.html" title="Chapter&#160;3.&#160;Specified-width floating-point typedefs">

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<title>Configuration Macros</title>
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<link rel="up" href="../overview.html" title="Chapter&#160;1.&#160;Overview">
<link rel="prev" href="compilers_overview.html" title="Compilers">
<link rel="next" href="intro_pol_overview.html" title="Policies">

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<title>The Mathematical Constants</title>
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<link rel="up" href="../constants.html" title="Chapter&#160;4.&#160;Mathematical Constants">
<link rel="prev" href="tutorial/user_def.html" title="Use With User-Defined Types">
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<title>Math Constants FAQs</title>
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<link rel="up" href="../constants.html" title="Chapter&#160;4.&#160;Mathematical Constants">
<link rel="prev" href="new_const.html" title="Defining New Constants">
<link rel="next" href="../dist.html" title="Chapter&#160;5.&#160;Statistical Distributions and Functions">

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<title>Introduction</title>
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<link rel="prev" href="../constants.html" title="Chapter&#160;4.&#160;Mathematical Constants">
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<link rel="up" href="../overview.html" title="Chapter&#160;1.&#160;Overview">
<link rel="prev" href="main_faq.html" title="Boost.Math Frequently Asked Questions (FAQs)">
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<title>Document Conventions</title>
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<link rel="next" href="hints.html" title="Other Hints and tips">
@@ -27,7 +27,7 @@
<a name="math_toolkit.conventions"></a><a class="link" href="conventions.html" title="Document Conventions">Document Conventions</a>
</h2></div></div></div>
<p>
<a class="indexterm" name="id878505"></a>
<a class="indexterm" name="id882745"></a>
</p>
<p>
This documentation aims to use of the following naming and formatting conventions.

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<title>Quaternion Creation Functions</title>
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<link rel="up" href="../quaternions.html" title="Chapter&#160;15.&#160;Quaternions">
<link rel="prev" href="value_op.html" title="Quaternion Value Operations">
<link rel="next" href="trans.html" title="Quaternion Transcendentals">

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<title>Credits and Acknowledgements</title>
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<link rel="up" href="../status.html" title="Chapter&#160;23.&#160;Library Status">
<link rel="prev" href="issues.html" title="Known Issues, and TODO List">
<link rel="next" href="../indexes.html" title="Chapter&#160;24.&#160;Indexes">

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<title>Numerical Differentiation</title>
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<link rel="home" href="../index.html" title="Math Toolkit 2.11.0">
<link rel="up" href="../quadrature.html" title="Chapter&#160;13.&#160;Quadrature and Differentiation">
<link rel="prev" href="naive_monte_carlo.html" title="Naive Monte Carlo Integration">
<link rel="next" href="autodiff.html" title="Automatic Differentiation">

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<title>Lanczos Smoothing Derivatives</title>
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<link rel="home" href="../index.html" title="Math Toolkit 2.11.0">
<link rel="up" href="../quadrature.html" title="Chapter&#160;13.&#160;Quadrature and Differentiation">
<link rel="prev" href="autodiff.html" title="Automatic Differentiation">
<link rel="next" href="../inverse_complex.html" title="Chapter&#160;14.&#160;Complex Number Functions">

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<title>Directory and File Structure</title>
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<link rel="up" href="../overview.html" title="Chapter&#160;1.&#160;Overview">
<link rel="prev" href="hints.html" title="Other Hints and tips">
<link rel="next" href="namespaces.html" title="Namespaces">

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<title>Conceptual Requirements for Distribution Types</title>
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<link rel="up" href="../using_udt.html" title="Chapter&#160;19.&#160;Use with User-Defined Floating-Point Types - Boost.Multiprecision and others">
<link rel="prev" href="real_concepts.html" title="Conceptual Requirements for Real Number Types">
<link rel="next" href="archetypes.html" title="Conceptual Archetypes for Reals and Distributions">

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<title>Statistical Distributions Reference</title>
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<link rel="up" href="../dist.html" title="Chapter&#160;5.&#160;Statistical Distributions and Functions">
<link rel="prev" href="stat_tut/dist_params.html" title="Discrete Probability Distributions">
<link rel="next" href="dist_ref/nmp.html" title="Non-Member Properties">

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<title>Distribution Algorithms</title>
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<link rel="up" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="prev" href="dists/weibull_dist.html" title="Weibull Distribution">
<link rel="next" href="../future.html" title="Extras/Future Directions">

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<title>Distributions</title>
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<link rel="up" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="prev" href="nmp.html" title="Non-Member Properties">
<link rel="next" href="dists/arcine_dist.html" title="Arcsine Distribution">

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<title>Arcsine Distribution</title>
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<link rel="prev" href="../dists.html" title="Distributions">
<link rel="next" href="bernoulli_dist.html" title="Bernoulli Distribution">

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<title>Bernoulli Distribution</title>
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<link rel="prev" href="arcine_dist.html" title="Arcsine Distribution">
<link rel="next" href="beta_dist.html" title="Beta Distribution">

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<title>Beta Distribution</title>
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<link rel="prev" href="bernoulli_dist.html" title="Bernoulli Distribution">
<link rel="next" href="binomial_dist.html" title="Binomial Distribution">

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<title>Binomial Distribution</title>
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<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="beta_dist.html" title="Beta Distribution">
<link rel="next" href="cauchy_dist.html" title="Cauchy-Lorentz Distribution">

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<title>Cauchy-Lorentz Distribution</title>
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<link rel="prev" href="binomial_dist.html" title="Binomial Distribution">
<link rel="next" href="chi_squared_dist.html" title="Chi Squared Distribution">

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<title>Chi Squared Distribution</title>
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<link rel="prev" href="cauchy_dist.html" title="Cauchy-Lorentz Distribution">
<link rel="next" href="empirical_cdf.html" title="Empirical Cumulative Distribution Function">

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<title>Empirical Cumulative Distribution Function</title>
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<link rel="next" href="exp_dist.html" title="Exponential Distribution">

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<title>Exponential Distribution</title>
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<link rel="prev" href="empirical_cdf.html" title="Empirical Cumulative Distribution Function">
<link rel="next" href="extreme_dist.html" title="Extreme Value Distribution">

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<title>Extreme Value Distribution</title>
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<link rel="prev" href="exp_dist.html" title="Exponential Distribution">
<link rel="next" href="f_dist.html" title="F Distribution">

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<title>F Distribution</title>
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<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="extreme_dist.html" title="Extreme Value Distribution">
<link rel="next" href="gamma_dist.html" title="Gamma (and Erlang) Distribution">

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<title>Gamma (and Erlang) Distribution</title>
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<link rel="prev" href="f_dist.html" title="F Distribution">
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<title>Geometric Distribution</title>
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<link rel="prev" href="gamma_dist.html" title="Gamma (and Erlang) Distribution">
<link rel="next" href="hyperexponential_dist.html" title="Hyperexponential Distribution">

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<title>Hyperexponential Distribution</title>
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<link rel="prev" href="geometric_dist.html" title="Geometric Distribution">
<link rel="next" href="hypergeometric_dist.html" title="Hypergeometric Distribution">

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<title>Hypergeometric Distribution</title>
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<link rel="prev" href="hyperexponential_dist.html" title="Hyperexponential Distribution">
<link rel="next" href="inverse_chi_squared_dist.html" title="Inverse Chi Squared Distribution">

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<title>Inverse Chi Squared Distribution</title>
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<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="hypergeometric_dist.html" title="Hypergeometric Distribution">
<link rel="next" href="inverse_gamma_dist.html" title="Inverse Gamma Distribution">

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<title>Inverse Gamma Distribution</title>
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<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="inverse_chi_squared_dist.html" title="Inverse Chi Squared Distribution">
<link rel="next" href="inverse_gaussian_dist.html" title="Inverse Gaussian (or Inverse Normal) Distribution">

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<title>Inverse Gaussian (or Inverse Normal) Distribution</title>
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<link rel="prev" href="inverse_gamma_dist.html" title="Inverse Gamma Distribution">
<link rel="next" href="laplace_dist.html" title="Laplace Distribution">

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<title>Laplace Distribution</title>
<link rel="stylesheet" href="../../../math.css" type="text/css">
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<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="inverse_gaussian_dist.html" title="Inverse Gaussian (or Inverse Normal) Distribution">
<link rel="next" href="logistic_dist.html" title="Logistic Distribution">

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<title>Logistic Distribution</title>
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<title>Log Normal Distribution</title>
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<title>Noncentral Beta Distribution</title>
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<title>Noncentral Chi-Squared Distribution</title>
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<title>Noncentral F Distribution</title>
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<title>Noncentral T Distribution</title>
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<title>Negative Binomial Distribution</title>
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<title>Normal (Gaussian) Distribution</title>
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<title>Pareto Distribution</title>
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