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Add missing file big_seventh.cpp

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pabristow
2019-11-12 09:34:48 +00:00
parent 1d04bf714e
commit 5aacc3e167
454 changed files with 840 additions and 599 deletions

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;22.&#160;Backgrounders</title>
<link rel="stylesheet" href="math.css" type="text/css">
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@@ -27,7 +27,7 @@
<a name="backgrounders"></a>Chapter&#160;22.&#160;Backgrounders</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/sf_implementation.html">Additional Implementation
Notes</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special_tut.html">Tutorial: How to Write a New

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;4.&#160;Mathematical Constants</title>
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@@ -27,7 +27,7 @@
<a name="constants"></a>Chapter&#160;4.&#160;Mathematical Constants</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/constants_intro.html">Introduction</a></span></dt>
<dt><span class="section"><a href="math_toolkit/tutorial.html">Tutorial</a></span></dt>
<dd><dl>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;3.&#160;Specified-width floating-point typedefs</title>
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@@ -27,7 +27,7 @@
<a name="cstdfloat"></a>Chapter&#160;3.&#160;Specified-width floating-point typedefs</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/specified_typedefs.html">Overview</a></span></dt>
<dt><span class="section"><a href="math_toolkit/rationale.html">Rationale</a></span></dt>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;5.&#160;Statistical Distributions and Functions</title>
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<a name="dist"></a>Chapter&#160;5.&#160;Statistical Distributions and Functions</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/stat_tut.html">Statistical Distributions Tutorial</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/stat_tut/overview.html">Overview of Statistical

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;9.&#160;TR1 and C99 external "C" Functions</title>
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<link rel="prev" href="math_toolkit/owens_t.html" title="Owen's T function">
@@ -27,7 +27,7 @@
<a name="extern_c"></a>Chapter&#160;9.&#160;TR1 and C99 external "C" Functions</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/main_tr1.html">C99 and TR1 C Functions Overview</a></span></dt>
<dt><span class="section"><a href="math_toolkit/c99.html">C99 C Functions</a></span></dt>
<dt><span class="section"><a href="math_toolkit/tr1_ref.html">TR1 C Functions Quick Reference</a></span></dt>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;17.&#160;Integer Utilities (Greatest Common Divisor and Least Common Multiple)</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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</head>
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</div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="chapter"><a href="overview.html">1. Overview</a></span></dt>
<dt><span class="chapter"><a href="utils.html">2. Floating Point Utilities</a></span></dt>
<dt><span class="chapter"><a href="cstdfloat.html">3. Specified-width floating-point typedefs</a></span></dt>
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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 26, 2019 at 09:59:59 GMT</small></p></td>
<td align="left"><p><small>Last revised: November 12, 2019 at 09:19:07 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;24.&#160;Indexes</title>
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@@ -27,7 +27,7 @@
<a name="indexes"></a>Chapter&#160;24.&#160;Indexes</h1></div></div></div>
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<dl class="toc">
<dl>
<dt><span class="section"><a href="indexes/s01.html">Function Index</a></span></dt>
<dt><span class="section"><a href="indexes/s02.html">Class Index</a></span></dt>
<dt><span class="section"><a href="indexes/s03.html">Typedef Index</a></span></dt>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Typedef Index</title>
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<div class="section">
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<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>
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<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/why_high_precision.html" title="Why use a high-precision library rather than built-in floating-point types?"><span class="index-entry-level-1">Why use a high-precision library rather than built-in floating-point types?</span></a></p></li>
</ul></div>
@@ -5996,6 +5995,14 @@
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/comparisons.html#math_toolkit.comparisons.table_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Table&#160;21.7.&#160;Library Comparison with Microsoft Visual C++ version 14.0 on Windows x64"><span class="index-entry-level-1">cbrt</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Linear Regression</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/linear_regression.html" title="Linear Regression"><span class="index-entry-level-1">performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/linear_regression.html" title="Linear Regression"><span class="index-entry-level-1">simple_ordinary_least_squares</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/linear_regression.html" title="Linear Regression"><span class="index-entry-level-1">simple_ordinary_least_squares_with_R_squared</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Linpack Benchmark</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/multiprecision.html#math_toolkit.multiprecision.linpack_time" title="Table&#160;21.2.&#160;Linpack Benchmark"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
@@ -7156,6 +7163,7 @@
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">Inverse Chi-Squared Distribution Bayes Example</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/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/linear_regression.html" title="Linear Regression"><span class="index-entry-level-1">Linear Regression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/naive_monte_carlo.html" title="Naive Monte Carlo Integration"><span class="index-entry-level-1">Naive Monte Carlo Integration</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/perf_over1.html" title="Performance"><span class="index-entry-level-1">performance</span></a></strong></span></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf_over2.html" title="Performance Overview"><span class="index-entry-level-1">Performance Overview</span></a></p></li>
@@ -8122,6 +8130,14 @@
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sign_functions.html" title="Sign Manipulation Functions"><span class="index-entry-level-1">Sign Manipulation Functions</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">simple_ordinary_least_squares</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/linear_regression.html" title="Linear Regression"><span class="index-entry-level-1">Linear Regression</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">simple_ordinary_least_squares_with_R_squared</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/linear_regression.html" title="Linear Regression"><span class="index-entry-level-1">Linear Regression</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">sinc_pi</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sinc/sinc_pi.html" title="sinc_pi"><span class="index-entry-level-1">accuracy</span></a></p></li>
@@ -9037,7 +9053,6 @@
<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/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">cpp_bin_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">directory</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">multiprecision</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">values</span></a></p></li>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;18.&#160;Internal Details: Series, Rationals and Continued Fractions, Testing, and Development Tools</title>
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@@ -28,7 +28,7 @@
and Development Tools</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/internals_overview.html">Overview</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals.html">Internal tools</a></span></dt>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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@@ -27,7 +27,7 @@
<a name="interpolation"></a>Chapter&#160;12.&#160;Interpolation</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/cardinal_cubic_b.html">Cardinal Cubic B-spline
interpolation</a></span></dt>
<dt><span class="section"><a href="math_toolkit/cardinal_quadratic_b.html">Cardinal Quadratic B-spline

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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@@ -27,7 +27,7 @@
<a name="inverse_complex"></a>Chapter&#160;14.&#160;Complex Number Functions</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/complex_implementation.html">Implementation and
Accuracy</a></span></dt>
<dt><span class="section"><a href="math_toolkit/asin.html">asin</a></span></dt>

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@@ -26,7 +26,7 @@
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.airy"></a><a class="link" href="airy.html" title="Airy Functions">Airy Functions</a>
</h2></div></div></div>
<div class="toc"><dl class="toc">
<div class="toc"><dl>
<dt><span class="section"><a href="airy/ai.html">Airy Ai Function</a></span></dt>
<dt><span class="section"><a href="airy/bi.html">Airy Bi Function</a></span></dt>
<dt><span class="section"><a href="airy/aip.html">Airy Ai' Function</a></span></dt>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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@@ -52,7 +52,7 @@
given by
</p>
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<span class="inlinemediaobject"><object type="image/svg+xml" data="../../graphs/anderson_darling_definition.svg" width="346" height="56"></object></span>
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where <span class="emphasis"><em>F</em></span><sub><span class="emphasis"><em>n</em></span></sub> is the empirical cumulative
@@ -180,7 +180,7 @@
give the following definition of the Anderson-Darling test statistic:
</p>
<p>
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<p>
This is an approximation to the quadrature sum we use as our definition. Boost.Math

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@@ -40,7 +40,7 @@
If you start in the wrong place, such as z<sub>0</sub> here:
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<p>
Then almost any root-finding algorithm will descend into a local minima rather
@@ -55,7 +55,7 @@
is essentially zero:
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In this situation the next iteration will shoot off to infinity (assuming we're
@@ -75,7 +75,7 @@
this case:
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An initial Newton step would take you further from the root than you started,
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Consider starting at z<sub>0</sub> in this situation:
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The first derivative is essentially infinite, and the second close to zero

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This documentation aims to use of the following naming and formatting conventions.

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<a name="math_toolkit.dist_ref"></a><a class="link" href="dist_ref.html" title="Statistical Distributions Reference">Statistical Distributions Reference</a>
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<dt><span class="section"><a href="dist_ref/nmp.html">Non-Member Properties</a></span></dt>
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<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.dist_ref.dists"></a><a class="link" href="dists.html" title="Distributions">Distributions</a>
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<dt><span class="section"><a href="dists/arcine_dist.html">Arcsine Distribution</a></span></dt>
<dt><span class="section"><a href="dists/bernoulli_dist.html">Bernoulli
Distribution</a></span></dt>

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<title>Bernoulli Distribution</title>
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<title>Binomial Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<title>Chi Squared Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Empirical Cumulative Distribution Function</title>
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<title>Exponential Distribution</title>
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<title>Extreme Value Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>F Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Gamma (and Erlang) Distribution</title>
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<title>Geometric Distribution</title>
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<title>Inverse Gamma Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Inverse Gaussian (or Inverse Normal) Distribution</title>
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<title>Laplace Distribution</title>
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<link rel="prev" href="inverse_gaussian_dist.html" title="Inverse Gaussian (or Inverse Normal) Distribution">

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<title>Logistic Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Log Normal Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral Beta Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral Chi-Squared Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral F Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral T Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Negative Binomial Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Normal (Gaussian) Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Pareto Distribution</title>
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