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Updated release notes, and regenerated docs.

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[SVN r64224]
This commit is contained in:
John Maddock
2010-07-21 16:08:01 +00:00
parent 8d09db422e
commit 9842cb0651
233 changed files with 1615 additions and 1587 deletions
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8
doc/sf_and_dist/html/index.html
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Math Toolkit</title>
<link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="index.html" title="Math Toolkit">
<link rel="next" href="math_toolkit/main_overview.html" title="Overview">
</head>
@@ -18,7 +18,7 @@
</tr></table>
<hr>
<div class="spirit-nav"><a accesskey="n" href="math_toolkit/main_overview.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a></div>
<div class="article">
<div class="article" lang="en">
<div class="titlepage">
<div>
<div><h2 class="title">
@@ -53,7 +53,7 @@
Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani
and Thijs van den Berg</p></div>
<div><div class="legalnotice">
<a name="id759776"></a><p>
<a name="id898085"></a><p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
@@ -488,7 +488,7 @@
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"><p><small>Last revised: July 01, 2010 at 21:46:24 GMT</small></p></td>
<td align="left"><p><small>Last revised: July 15, 2010 at 16:56:47 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>

4
doc/sf_and_dist/html/math_toolkit/backgrounders.html
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Backgrounders</title>
<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="perf/perf_test_app.html" title="The Performance Test Application">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="perf/perf_test_app.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="backgrounders/implementation.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.backgrounders"></a><a class="link" href="backgrounders.html" title="Backgrounders"> Backgrounders</a>
</h2></div></div></div>

46
doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Additional Implementation Notes</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="../backgrounders.html" title="Backgrounders">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../backgrounders.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../backgrounders.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="relative_error.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.backgrounders.implementation"></a><a class="link" href="implementation.html" title="Additional Implementation Notes"> Additional
Implementation Notes</a>
@@ -33,7 +33,7 @@
and reflect more the general implementation philosophy used.
</p>
<a name="math_toolkit.backgrounders.implementation.implemention_philosophy"></a><h5>
<a name="id1092528"></a>
<a name="id1279266"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.implemention_philosophy">Implemention
philosophy</a>
</h5>
@@ -85,7 +85,7 @@
These could still provide sufficient accuracy for some speed-critical applications.
</p>
<a name="math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values"></a><h5>
<a name="id1092631"></a>
<a name="id1279330"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values">Accuracy
and Representation of Test Values</a>
</h5>
@@ -130,18 +130,18 @@
binary value).
</p>
<a name="math_toolkit.backgrounders.implementation.tolerance_of_tests"></a><h5>
<a name="id1092820"></a>
<a name="id1279474"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.tolerance_of_tests">Tolerance
of Tests</a>
</h5>
<p>
The tolerances need to be set to the maximum of:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Some epsilon value.
</li>
<li class="listitem">
<li>
The accuracy of the data (often only near 64-bit double).
</li>
</ul></div>
@@ -156,7 +156,7 @@
first that the suffix L is present, and then that the tolerance is big enough.
</p>
<a name="math_toolkit.backgrounders.implementation.handling_unsuitable_arguments"></a><h5>
<a name="id1092882"></a>
<a name="id1279518"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_unsuitable_arguments">Handling
Unsuitable Arguments</a>
</h5>
@@ -166,7 +166,7 @@
it is proposed that signalling a domain error is mandatory when the argument
would give an mathematically undefined result.
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
Guideline 1
</li></ul></div>
<div class="blockquote"><blockquote class="blockquote"><p>
@@ -183,7 +183,7 @@
a domain error whenever evaluated with argument values for which the mathematical
function is undefined.
</p></blockquote></div>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
Guideline 2
</li></ul></div>
<div class="blockquote"><blockquote class="blockquote"><p>
@@ -224,7 +224,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined"></a><h5>
<a name="id1093073"></a>
<a name="id1279648"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined">Handling
of Functions that are Not Mathematically defined</a>
</h5>
@@ -258,7 +258,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.implementation.median_of_distributions"></a><h5>
<a name="id1093197"></a>
<a name="id1279733"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.median_of_distributions">Median
of distributions</a>
</h5>
@@ -291,7 +291,7 @@
Basic Statistics.</a> give more detail, in particular for discrete distributions.
</p>
<a name="math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity"></a><h5>
<a name="id1093328"></a>
<a name="id1279830"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
of Floating-Point Infinity</a>
</h5>
@@ -335,7 +335,7 @@
handling policies</a>.
</p>
<a name="math_toolkit.backgrounders.implementation.scale__shape_and_location"></a><h5>
<a name="id1093470"></a>
<a name="id1279916"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.scale__shape_and_location">Scale,
Shape and Location</a>
</h5>
@@ -362,11 +362,11 @@
functions, they can be added if required.
</p>
<a name="math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions"></a><h5>
<a name="id1093880"></a>
<a name="id1280251"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions">Notes
on Implementation of Specific Functions &amp; Distributions</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
Default parameters for the Triangular Distribution. We are uncertain
about the best default parameters. Some sources suggest that the Standard
Triangular Distribution has lower = 0, mode = half and upper = 1. However
@@ -374,7 +374,7 @@
lower = -1, mode = 0 and upper = 1 would be more suitable.
</li></ul></div>
<a name="math_toolkit.backgrounders.implementation.rational_approximations_used"></a><h5>
<a name="id1093922"></a>
<a name="id1280275"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">Rational
Approximations Used</a>
</h5>
@@ -417,7 +417,7 @@
to the "true" minimax solution.
</p>
<a name="math_toolkit.backgrounders.implementation.representation_of_mathematical_constants"></a><h5>
<a name="id1094010"></a>
<a name="id1280320"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.representation_of_mathematical_constants">Representation
of Mathematical Constants</a>
</h5>
@@ -478,7 +478,7 @@
</span><span class="keyword">double</span> <span class="identifier">p</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">constants</span><span class="special">::</span><span class="identifier">pi</span><span class="special">();</span> <span class="comment">// Context does not allow for disambiguation of overloaded function
</span></pre>
<a name="math_toolkit.backgrounders.implementation.thread_safety"></a><h5>
<a name="id1094488"></a>
<a name="id1280865"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.thread_safety">Thread
safety</a>
</h5>
@@ -503,7 +503,7 @@
the right thing here at some point.
</p>
<a name="math_toolkit.backgrounders.implementation.sources_of_test_data"></a><h5>
<a name="id1094549"></a>
<a name="id1280901"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.sources_of_test_data">Sources
of Test Data</a>
</h5>
@@ -541,7 +541,7 @@
the underlying special function is known to be difficult to implement.
</p>
<a name="math_toolkit.backgrounders.implementation.creating_and_managing_the_equations"></a><h5>
<a name="id1094648"></a>
<a name="id1280964"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.creating_and_managing_the_equations">Creating
and Managing the Equations</a>
</h5>
@@ -713,7 +713,7 @@ done</pre>
HTML: this needs further investigation.
</p>
<a name="math_toolkit.backgrounders.implementation.producing_graphs"></a><h5>
<a name="id1095018"></a>
<a name="id1281210"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.producing_graphs">Producing
Graphs</a>
</h5>

34
doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>The Lanczos Approximation</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="relative_error.html" title="Relative Error">
@@ -22,12 +22,12 @@
<div class="spirit-nav">
<a accesskey="p" href="relative_error.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../backgrounders.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="remez.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.backgrounders.lanczos"></a><a class="link" href="lanczos.html" title="The Lanczos Approximation"> The Lanczos Approximation</a>
</h3></div></div></div>
<a name="math_toolkit.backgrounders.lanczos.motivation"></a><h5>
<a name="id1095332"></a>
<a name="id1281435"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.motivation">Motivation</a>
</h5>
<p>
@@ -45,8 +45,8 @@
Lanczos approximation does have a couple of properties that make it worthy
of further consideration:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
The approximation has an easy to compute truncation error that holds
for all <span class="emphasis"><em>z &gt; 0</em></span>. In practice that means we can
use the same approximation for all <span class="emphasis"><em>z &gt; 0</em></span>, and
@@ -54,7 +54,7 @@
the truncation error will <span class="emphasis"><em>at worst</em></span> be bounded by
some finite value.
</li>
<li class="listitem">
<li>
The approximation has a form that is particularly amenable to analytic
manipulation, in particular ratios of gamma or gamma-like functions are
particularly easy to compute without resorting to logarithms.
@@ -99,7 +99,7 @@
functions divided by large powers into single (simpler) expressions.
</p>
<a name="math_toolkit.backgrounders.lanczos.the_approximation"></a><h5>
<a name="id1095672"></a>
<a name="id1281693"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.the_approximation">The
Approximation</a>
</h5>
@@ -161,7 +161,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.lanczos.computing_the_coefficients"></a><h5>
<a name="id1095908"></a>
<a name="id1281885"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.computing_the_coefficients">Computing
the Coefficients</a>
</h5>
@@ -205,7 +205,7 @@
multiplied by <span class="emphasis"><em>F</em></span> as the last step.
</p>
<a name="math_toolkit.backgrounders.lanczos.choosing_the_right_parameters"></a><h5>
<a name="id1096092"></a>
<a name="id1282042"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.choosing_the_right_parameters">Choosing
the Right Parameters</a>
</h5>
@@ -229,7 +229,7 @@
computing to float precision with double precision arithmetic.
</p>
<div class="table">
<a name="id1096168"></a><p class="title"><b>Table&#160;53.&#160;Optimal choices for N and g when computing with guard digits (source:
<a name="id1282096"></a><p class="title"><b>Table&#160;53.&#160;Optimal choices for N and g when computing with guard digits (source:
Pugh)</b></p>
<div class="table-contents"><table class="table" summary="Optimal choices for N and g when computing with guard digits (source:
Pugh)">
@@ -372,7 +372,7 @@
exactly matches the machine epsilon for the type in question.
</p>
<div class="table">
<a name="id1096444"></a><p class="title"><b>Table&#160;54.&#160;Optimum value for N and g when computing at fixed precision</b></p>
<a name="id1282318"></a><p class="title"><b>Table&#160;54.&#160;Optimum value for N and g when computing at fixed precision</b></p>
<div class="table-contents"><table class="table" summary="Optimum value for N and g when computing at fixed precision">
<colgroup>
<col>
@@ -535,24 +535,24 @@
is exact, and so isn't used for the gamma function.
</p>
<a name="math_toolkit.backgrounders.lanczos.references"></a><h5>
<a name="id1096414"></a>
<a name="id1282578"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.references">References</a>
</h5>
<a name="godfrey"></a><a name="pugh"></a><div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<a name="godfrey"></a><a name="pugh"></a><div class="orderedlist"><ol type="1">
<li>
Paul Godfrey, <a href="http://my.fit.edu/~gabdo/gamma.txt" target="_top">"A
note on the computation of the convergent Lanczos complex Gamma approximation"</a>.
</li>
<li class="listitem">
<li>
Glendon Ralph Pugh, <a href="http://bh0.physics.ubc.ca/People/matt/Doc/ThesesOthers/Phd/pugh.pdf" target="_top">"An
Analysis of the Lanczos Gamma Approximation"</a>, PhD Thesis
November 2004.
</li>
<li class="listitem">
<li>
Viktor T. Toth, <a href="http://www.rskey.org/gamma.htm" target="_top">"Calculators
and the Gamma Function"</a>.
</li>
<li class="listitem">
<li>
Mathworld, <a href="http://mathworld.wolfram.com/LanczosApproximation.html" target="_top">The
Lanczos Approximation</a>.
</li>

10
doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>References</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="remez.html" title="The Remez Method">
@@ -22,12 +22,12 @@
<div class="spirit-nav">
<a accesskey="p" href="remez.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../backgrounders.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../status.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.backgrounders.refs"></a><a class="link" href="refs.html" title="References"> References</a>
</h3></div></div></div>
<a name="math_toolkit.backgrounders.refs.general_references"></a><h5>
<a name="id1097925"></a>
<a name="id1285013"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.general_references">General
references</a>
</h5>
@@ -91,7 +91,7 @@
Library (version 2), Walter E. Brown</a>
</p>
<a name="math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__"></a><h5>
<a name="id1098035"></a>
<a name="id1285109"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__">Calculators*
that we found (and used to cross-check - as far as their widely-varying accuracy
allowed).</a>
@@ -101,7 +101,7 @@
Binomial Probability Distribution Calculator.
</p>
<a name="math_toolkit.backgrounders.refs.other_libraries"></a><h5>
<a name="id1098077"></a>
<a name="id1285134"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.other_libraries">Other Libraries</a>
</h5>
<p>

6
doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Relative Error</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="implementation.html" title="Additional Implementation Notes">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="implementation.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../backgrounders.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="lanczos.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.backgrounders.relative_error"></a><a class="link" href="relative_error.html" title="Relative Error"> Relative
Error</a>
@@ -81,7 +81,7 @@
<a name="zero_error"></a><p>
</p>
<a name="math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error"></a><h5>
<a name="id1095263"></a>
<a name="id1281392"></a>
<a class="link" href="relative_error.html#math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error">The
Impossibility of Zero Error</a>
</h5>

46
doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>The Remez Method</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="lanczos.html" title="The Lanczos Approximation">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="lanczos.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../backgrounders.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="refs.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.backgrounders.remez"></a><a class="link" href="remez.html" title="The Remez Method"> The Remez Method</a>
</h3></div></div></div>
@@ -65,15 +65,15 @@
yields the smallest maximal value of the error function. Chebyshev showed
that there is a unique minimax solution for R(x) that has the following properties:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
If R(x) is a polynomial of degree N, then there are N+2 unknowns: the
N+1 coefficients of the polynomial, and maximal value of the error function.
</li>
<li class="listitem">
<li>
The error function has N+1 roots, and N+2 extrema (minima and maxima).
</li>
<li class="listitem">
<li>
The extrema alternate in sign, and all have the same magnitude.
</li>
</ul></div>
@@ -94,7 +94,7 @@
are located!</em></span>
</p>
<a name="math_toolkit.backgrounders.remez.the_remez_method"></a><h5>
<a name="id1096963"></a>
<a name="id1282763"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.the_remez_method">The Remez
Method</a>
</h5>
@@ -174,7 +174,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.backgrounders.remez.remez_step_1"></a><h5>
<a name="id1097153"></a>
<a name="id1284425"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_1">Remez Step
1</a>
</h5>
@@ -205,7 +205,7 @@
to 5.6x10<sup>-4</sup>.
</p>
<a name="math_toolkit.backgrounders.remez.remez_step_2"></a><h5>
<a name="id1097248"></a>
<a name="id1284499"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_2">Remez Step
2</a>
</h5>
@@ -234,7 +234,7 @@
In our example we perform multi-point exchange.
</p>
<a name="math_toolkit.backgrounders.remez.iteration"></a><h5>
<a name="id1097293"></a>
<a name="id1284531"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.iteration">Iteration</a>
</h5>
<p>
@@ -250,7 +250,7 @@
<span class="inlinemediaobject"><img src="../../../graphs/remez-4.png" alt="remez-4"></span>
</p>
<a name="math_toolkit.backgrounders.remez.rational_approximations"></a><h5>
<a name="id1097348"></a>
<a name="id1284576"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.rational_approximations">Rational
Approximations</a>
</h5>
@@ -299,7 +299,7 @@
number of terms overall.
</p>
<a name="math_toolkit.backgrounders.remez.practical_considerations"></a><h5>
<a name="id1097450"></a>
<a name="id1284655"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.practical_considerations">Practical
Considerations</a>
</h5>
@@ -407,7 +407,7 @@
desired minimax solution (5x10<sup>-4</sup>).
</p>
<a name="math_toolkit.backgrounders.remez.remez_method_checklist"></a><h5>
<a name="id1097648"></a>
<a name="id1284811"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_method_checklist">Remez
Method Checklist</a>
</h5>
@@ -416,18 +416,18 @@
wrong, it is by no means an exhaustive list, but is provided in the hopes
that it will prove useful.
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Is the function smooth enough? Can it be better separated into a rapidly
changing part, and an asymptotic part?
</li>
<li class="listitem">
<li>
Does the function being approximated have any "blips" in it?
Check for problems as the function changes computation method, or if
a root, or an infinity has been divided out. The telltale sign is if
there is a narrow region where the Remez method will not converge.
</li>
<li class="listitem">
<li>
Check you have enough accuracy in your calculations: remember that the
Remez method works on the difference between the approximation and the
function being approximated: so you must have more digits of precision
@@ -435,33 +435,33 @@
So for example at double precision, you shouldn't expect to be able to
get better than a float precision approximation.
</li>
<li class="listitem">
<li>
Try skewing the initial interpolated approximation to minimise the error
before you begin the Remez steps.
</li>
<li class="listitem">
<li>
If the approximation won't converge or is ill-conditioned from one starting
location, try starting from a different location.
</li>
<li class="listitem">
<li>
If a rational function won't converge, one can minimise a polynomial
(which presents no problems), then rotate one term from the numerator
to the denominator and minimise again. In theory one can continue moving
terms one at a time from numerator to denominator, and then re-minimising,
retaining the last set of control points at each stage.
</li>
<li class="listitem">
<li>
Try using a smaller interval. It may also be possible to optimise over
one (small) interval, rescale the control points over a larger interval,
and then re-minimise.
</li>
<li class="listitem">
<li>
Keep absissa values small: use a change of variable to keep the abscissa
over, say [0, b], for some smallish value <span class="emphasis"><em>b</em></span>.
</li>
</ul></div>
<a name="math_toolkit.backgrounders.remez.references"></a><h5>
<a name="id1097762"></a>
<a name="id1284893"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.references">References</a>
</h5>
<p>

4
doc/sf_and_dist/html/math_toolkit/dist.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Statistical Distributions and Functions</title>
<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="main_overview/contact.html" title="Contact Info and Support">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="main_overview/contact.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="dist/stat_tut.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.dist"></a><a class="link" href="dist.html" title="Statistical Distributions and Functions"> Statistical Distributions and Functions</a>
</h2></div></div></div>

4
doc/sf_and_dist/html/math_toolkit/dist/dist_ref.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Statistical Distributions Reference</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../dist.html" title="Statistical Distributions and Functions">
<link rel="prev" href="stat_tut/dist_params.html" title="Discrete Probability Distributions">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="stat_tut/dist_params.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dist.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="dist_ref/nmp.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.dist.dist_ref"></a><a class="link" href="dist_ref.html" title="Statistical Distributions Reference"> Statistical Distributions
Reference</a>

10
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Distribution Algorithms</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="prev" href="dists/uniform_dist.html" title="Uniform Distribution">
@@ -22,13 +22,13 @@
<div class="spirit-nav">
<a accesskey="p" href="dists/uniform_dist.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dist_ref.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../future.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
<a name="math_toolkit.dist.dist_ref.dist_algorithms"></a><a class="link" href="dist_algorithms.html" title="Distribution Algorithms"> Distribution
Algorithms</a>
</h4></div></div></div>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions"></a><h5>
<a name="id900389"></a>
<a name="id1062124"></a>
<a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions">Finding
the Location and Scale for Normal and similar distributions</a>
</h5>
@@ -50,7 +50,7 @@
</span><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">complement</span><span class="special">;</span> <span class="comment">// Will be needed by users who want to use complements.
</span></pre>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.find_location_function"></a><h5>
<a name="id900525"></a>
<a name="id1062222"></a>
<a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_location_function">find_location
function</a>
</h5>
@@ -80,7 +80,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function"></a><h5>
<a name="id901071"></a>
<a name="id1062667"></a>
<a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function">find_scale
function</a>
</h5>

4
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Distributions</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="prev" href="nmp.html" title="Non-Member Properties">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="nmp.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dist_ref.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="dists/bernoulli_dist.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
<a name="math_toolkit.dist.dist_ref.dists"></a><a class="link" href="dists.html" title="Distributions"> Distributions</a>
</h4></div></div></div>

20
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Bernoulli Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="../dists.html" title="Distributions">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../dists.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="beta_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist"></a><a class="link" href="bernoulli_dist.html" title="Bernoulli Distribution">
Bernoulli Distribution</a>
@@ -87,7 +87,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/bernoulli_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions"></a><h5>
<a name="id852613"></a>
<a name="id1008114"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions">Member
Functions</a>
</h5>
@@ -103,7 +103,7 @@
Returns the <span class="emphasis"><em>success_fraction</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors"></a><h5>
<a name="id852717"></a>
<a name="id1008192"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -128,7 +128,7 @@
exception and make an error message available.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy"></a><h5>
<a name="id852870"></a>
<a name="id1008295"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -136,7 +136,7 @@
and so should have errors within an epsilon or two.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation"></a><h5>
<a name="id852898"></a>
<a name="id1008317"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation">Implementation</a>
</h5>
<p>
@@ -327,15 +327,15 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.references"></a><h5>
<a name="id853248"></a>
<a name="id1008646"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://en.wikipedia.org/wiki/Bernoulli_distribution" target="_top">Wikpedia
Bernoulli distribution</a>
</li>
<li class="listitem">
<li>
<a href="../../../../" target="_top">Weisstein, Eric W. "Bernoulli Distribution."
From MathWorld--A Wolfram Web Resource.</a>
</li>

24
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Beta Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="bernoulli_dist.html" title="Bernoulli Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="bernoulli_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="binomial_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.beta_dist"></a><a class="link" href="beta_dist.html" title="Beta Distribution"> Beta
Distribution</a>
@@ -133,12 +133,12 @@
from the centre (where x = half).
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.member_functions"></a><h5>
<a name="id854240"></a>
<a name="id1010558"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.constructor"></a><h6>
<a name="id854269"></a>
<a name="id1010574"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.constructor">Constructor</a>
</h6>
<pre class="programlisting"><span class="identifier">beta_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">alpha</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">beta</span><span class="special">);</span>
@@ -165,7 +165,7 @@
yellow in the graph above).
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors"></a><h6>
<a name="id854414"></a>
<a name="id1010689"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors">Parameter
Accessors</a>
</h6>
@@ -189,7 +189,7 @@
</span><span class="identifier">assert</span><span class="special">(</span><span class="identifier">mybeta</span><span class="special">.</span><span class="identifier">beta</span><span class="special">()</span> <span class="special">==</span> <span class="number">5.</span><span class="special">);</span> <span class="comment">// mybeta.beta() returns 5
</span></pre>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.parameter_estimators"></a><h5>
<a name="id854658"></a>
<a name="id1010890"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_estimators">Parameter
Estimators</a>
</h5>
@@ -242,7 +242,7 @@ from presumed-known mean and variance.
Returns the value of &#946; that gives: <code class="computeroutput"><span class="identifier">cdf</span><span class="special">(</span><span class="identifier">beta_distribution</span><span class="special">&lt;</span><span class="identifier">RealType</span><span class="special">&gt;(</span><span class="identifier">alpha</span><span class="special">,</span> <span class="identifier">beta</span><span class="special">),</span> <span class="identifier">x</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">probability</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.non_member_accessor_functions"></a><h5>
<a name="id855217"></a>
<a name="id1011340"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.non_member_accessor_functions">Non-member
Accessor Functions</a>
</h5>
@@ -264,7 +264,7 @@ from presumed-known mean and variance.
Mathworld</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.applications"></a><h5>
<a name="id855371"></a>
<a name="id1011442"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.applications">Applications</a>
</h5>
<p>
@@ -277,7 +277,7 @@ from presumed-known mean and variance.
statistical inference</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.related_distributions"></a><h5>
<a name="id855412"></a>
<a name="id1011468"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.related_distributions">Related
distributions</a>
</h5>
@@ -303,7 +303,7 @@ from presumed-known mean and variance.
Distribution</a> with its p parameter set to x.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.accuracy"></a><h5>
<a name="id855483"></a>
<a name="id1011514"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -315,7 +315,7 @@ from presumed-known mean and variance.
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.implementation"></a><h5>
<a name="id855554"></a>
<a name="id1011559"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.implementation">Implementation</a>
</h5>
<p>
@@ -596,7 +596,7 @@ from presumed-known mean and variance.
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.references"></a><h5>
<a name="id856997"></a>
<a name="id1013181"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.references">References</a>
</h5>
<p>

38
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Binomial Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="beta_dist.html" title="Beta Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="beta_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="cauchy_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist"></a><a class="link" href="binomial_dist.html" title="Binomial Distribution">
Binomial Distribution</a>
@@ -167,12 +167,12 @@
<p>
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.member_functions"></a><h5>
<a name="id858173"></a>
<a name="id1014132"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.construct"></a><h6>
<a name="id858194"></a>
<a name="id1014150"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.construct">Construct</a>
</h6>
<pre class="programlisting"><span class="identifier">binomial_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
@@ -189,7 +189,7 @@
otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.accessors"></a><h6>
<a name="id858336"></a>
<a name="id1014267"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.accessors">Accessors</a>
</h6>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">success_fraction</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
@@ -205,7 +205,7 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.lower_bound_on_the_success_fraction"></a><h6>
<a name="id858439"></a>
<a name="id1014348"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.lower_bound_on_the_success_fraction">Lower
Bound on the Success Fraction</a>
</h6>
@@ -311,7 +311,7 @@
limits illustrated in the case of the binomial. Biometrika 26 404-413.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.upper_bound_on_the_success_fraction"></a><h6>
<a name="id859008"></a>
<a name="id1014801"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.upper_bound_on_the_success_fraction">Upper
Bound on the Success Fraction</a>
</h6>
@@ -389,7 +389,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_number_of_trials_required_for_a_certain_number_of_successes"></a><h6>
<a name="id859402"></a>
<a name="id1016778"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_number_of_trials_required_for_a_certain_number_of_successes">Estimating
the Number of Trials Required for a Certain Number of Successes</a>
</h6>
@@ -431,7 +431,7 @@
of seeing 10 events that occur with frequency one half.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_maximum_number_of_trials_to_ensure_no_more_than_a_certain_number_of_successes"></a><h6>
<a name="id859651"></a>
<a name="id1016980"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_maximum_number_of_trials_to_ensure_no_more_than_a_certain_number_of_successes">Estimating
the Maximum Number of Trials to Ensure no more than a Certain Number
of Successes</a>
@@ -479,7 +479,7 @@
Worked Example.</a>
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors"></a><h5>
<a name="id859910"></a>
<a name="id1017190"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -504,7 +504,7 @@
in the context of this distribution:
</p>
<div class="table">
<a name="id860098"></a><p class="title"><b>Table&#160;11.&#160;Meaning of the non-member accessors</b></p>
<a name="id1017322"></a><p class="title"><b>Table&#160;11.&#160;Meaning of the non-member accessors</b></p>
<div class="table-contents"><table class="table" summary="Meaning of the non-member accessors">
<colgroup>
<col>
@@ -628,7 +628,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.dist.dist_ref.dists.binomial_dist.examples"></a><h5>
<a name="id860601"></a>
<a name="id1017744"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.examples">Examples</a>
</h5>
<p>
@@ -636,7 +636,7 @@
examples</a> are available illustrating the use of the binomial distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.accuracy"></a><h5>
<a name="id860637"></a>
<a name="id1017766"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -646,7 +646,7 @@
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.implementation"></a><h5>
<a name="id860680"></a>
<a name="id1017794"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.implementation">Implementation</a>
</h5>
<p>
@@ -890,20 +890,20 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.references"></a><h5>
<a name="id861884"></a>
<a name="id1018844"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://mathworld.wolfram.com/BinomialDistribution.html" target="_top">Weisstein,
Eric W. "Binomial Distribution." From MathWorld--A Wolfram
Web Resource</a>.
</li>
<li class="listitem">
<li>
<a href="http://en.wikipedia.org/wiki/Beta_distribution" target="_top">Wikipedia
binomial distribution</a>.
</li>
<li class="listitem">
<li>
<a href="http://www.itl.nist.gov/div898/handbook/eda/section3/eda366i.htm" target="_top">NIST
Explorary Data Analysis</a>.
</li>

22
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Cauchy-Lorentz Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="binomial_dist.html" title="Binomial Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="binomial_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="chi_squared_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist"></a><a class="link" href="cauchy_dist.html" title="Cauchy-Lorentz Distribution"> Cauchy-Lorentz
Distribution</a>
@@ -88,7 +88,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/cauchy_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.member_functions"></a><h5>
<a name="id862513"></a>
<a name="id1021089"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.member_functions">Member
Functions</a>
</h5>
@@ -114,7 +114,7 @@
Returns the scale parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.non_member_accessors"></a><h5>
<a name="id862699"></a>
<a name="id1021237"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -148,7 +148,7 @@
The domain of the random variable is [-[max_value], +[min_value]].
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.accuracy"></a><h5>
<a name="id862918"></a>
<a name="id1021379"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -157,7 +157,7 @@
have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.implementation"></a><h5>
<a name="id862968"></a>
<a name="id1021413"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.implementation">Implementation</a>
</h5>
<p>
@@ -273,19 +273,19 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.references"></a><h5>
<a name="id863237"></a>
<a name="id1021640"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://en.wikipedia.org/wiki/Cauchy_distribution" target="_top">Cauchy-Lorentz
distribution</a>
</li>
<li class="listitem">
<li>
<a href="http://www.itl.nist.gov/div898/handbook/eda/section3/eda3663.htm" target="_top">NIST
Exploratory Data Analysis</a>
</li>
<li class="listitem">
<li>
<a href="http://mathworld.wolfram.com/CauchyDistribution.html" target="_top">Weisstein,
Eric W. "Cauchy Distribution." From MathWorld--A Wolfram
Web Resource.</a>

24
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chi Squared Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="cauchy_dist.html" title="Cauchy-Lorentz Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="cauchy_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="exp_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist"></a><a class="link" href="chi_squared_dist.html" title="Chi Squared Distribution">
Chi Squared Distribution</a>
@@ -87,7 +87,7 @@ independent, normally distributed random
<span class="inlinemediaobject"><img src="../../../../../graphs/chi_squared_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.member_functions"></a><h5>
<a name="id863884"></a>
<a name="id1022205"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.member_functions">Member
Functions</a>
</h5>
@@ -170,7 +170,7 @@ independent, normally distributed random
NIST Engineering Statistics Handbook, Section 7.2.3.2</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.non_member_accessors"></a><h5>
<a name="id864324"></a>
<a name="id1022536"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -196,7 +196,7 @@ independent, normally distributed random
The domain of the random variable is [0, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.examples"></a><h5>
<a name="id864476"></a>
<a name="id1022639"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.examples">Examples</a>
</h5>
<p>
@@ -204,7 +204,7 @@ independent, normally distributed random
are available illustrating the use of the Chi Squared Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.accuracy"></a><h5>
<a name="id864510"></a>
<a name="id1022666"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -212,7 +212,7 @@ independent, normally distributed random
gamma functions</a>: please refer to the accuracy data for those functions.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.implementation"></a><h5>
<a name="id864549"></a>
<a name="id1022690"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.implementation">Implementation</a>
</h5>
<p>
@@ -379,19 +379,19 @@ independent, normally distributed random
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.references"></a><h5>
<a name="id864870"></a>
<a name="id1023285"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://www.itl.nist.gov/div898/handbook/eda/section3/eda3666.htm" target="_top">NIST
Exploratory Data Analysis</a>
</li>
<li class="listitem">
<li>
<a href="http://en.wikipedia.org/wiki/Chi-square_distribution" target="_top">Chi-square
distribution</a>
</li>
<li class="listitem">
<li>
<a href="http://mathworld.wolfram.com/Chi-SquaredDistribution.html" target="_top">Weisstein,
Eric W. "Chi-Squared Distribution." From MathWorld--A Wolfram
Web Resource.</a>

26
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Exponential Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="chi_squared_dist.html" title="Chi Squared Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="chi_squared_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="extreme_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.exp_dist"></a><a class="link" href="exp_dist.html" title="Exponential Distribution"> Exponential
Distribution</a>
@@ -71,7 +71,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/exponential_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.member_functions"></a><h5>
<a name="id865397"></a>
<a name="id1023720"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.member_functions">Member
Functions</a>
</h5>
@@ -91,7 +91,7 @@
Accessor function returns the lambda parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.non_member_accessors"></a><h5>
<a name="id865522"></a>
<a name="id1023820"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -111,7 +111,7 @@
The domain of the random variable is [0, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.accuracy"></a><h5>
<a name="id865670"></a>
<a name="id1023920"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -122,7 +122,7 @@
should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.implementation"></a><h5>
<a name="id865741"></a>
<a name="id1023968"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.implementation">Implementation</a>
</h5>
<p>
@@ -283,24 +283,24 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.references"></a><h5>
<a name="id866026"></a>
<a name="id1024234"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.references">references</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://mathworld.wolfram.com/ExponentialDistribution.html" target="_top">Weisstein,
Eric W. "Exponential Distribution." From MathWorld--A Wolfram
Web Resource</a>
</li>
<li class="listitem">
<li>
<a href="http://documents.wolfram.com/calccenter/Functions/ListsMatrices/Statistics/ExponentialDistribution.html" target="_top">Wolfram
Mathematica calculator</a>
</li>
<li class="listitem">
<li>
<a href="http://www.itl.nist.gov/div898/handbook/eda/section3/eda3667.htm" target="_top">NIST
Exploratory Data Analysis</a>
</li>
<li class="listitem">
<li>
<a href="http://en.wikipedia.org/wiki/Exponential_distribution" target="_top">Wikipedia
Exponential distribution</a>
</li>
@@ -309,7 +309,7 @@
(See also the reference documentation for the related <a class="link" href="extreme_dist.html" title="Extreme Value Distribution">Extreme
Distributions</a>.)
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
<a href="http://www.worldscibooks.com/mathematics/p191.html" target="_top">Extreme
Value Distributions, Theory and Applications Samuel Kotz &amp; Saralees
Nadarajah</a> discuss the relationship of the types of extreme

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Extreme Value Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="exp_dist.html" title="Exponential Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="exp_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="f_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist"></a><a class="link" href="extreme_dist.html" title="Extreme Value Distribution"> Extreme
Value Distribution</a>
@@ -100,7 +100,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/extreme_value_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.member_functions"></a><h5>
<a name="id866599"></a>
<a name="id1024797"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.member_functions">Member
Functions</a>
</h5>
@@ -125,7 +125,7 @@
Returns the scale parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.non_member_accessors"></a><h5>
<a name="id866916"></a>
<a name="id1024953"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -145,7 +145,7 @@
The domain of the random parameter is [-&#8734;, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.accuracy"></a><h5>
<a name="id867064"></a>
<a name="id1025050"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -154,7 +154,7 @@
very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.implementation"></a><h5>
<a name="id867112"></a>
<a name="id1025084"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.implementation">Implementation</a>
</h5>
<p>

14
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>F Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="extreme_dist.html" title="Extreme Value Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="extreme_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="gamma_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.f_dist"></a><a class="link" href="f_dist.html" title="F Distribution"> F Distribution</a>
</h5></div></div></div>
@@ -80,7 +80,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/fisher_f_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.member_functions"></a><h5>
<a name="id867979"></a>
<a name="id1025984"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.member_functions">Member
Functions</a>
</h5>
@@ -106,7 +106,7 @@
Returns the denominator degrees of freedom parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.non_member_accessors"></a><h5>
<a name="id868168"></a>
<a name="id1026138"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -126,7 +126,7 @@
The domain of the random variable is [0, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.examples"></a><h5>
<a name="id868317"></a>
<a name="id1026238"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.examples">Examples</a>
</h5>
<p>
@@ -134,7 +134,7 @@
are available illustrating the use of the F Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.accuracy"></a><h5>
<a name="id868352"></a>
<a name="id1026259"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -143,7 +143,7 @@
refer to those functions for accuracy data.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.implementation"></a><h5>
<a name="id868397"></a>
<a name="id1026286"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.implementation">Implementation</a>
</h5>
<p>

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Gamma (and Erlang) Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="f_dist.html" title="F Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="f_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="hypergeometric_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist"></a><a class="link" href="gamma_dist.html" title="Gamma (and Erlang) Distribution"> Gamma
(and Erlang) Distribution</a>
@@ -137,7 +137,7 @@
than a dedicated Erlang Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.member_functions"></a><h5>
<a name="id869693"></a>
<a name="id1027340"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.member_functions">Member
Functions</a>
</h5>
@@ -162,7 +162,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.non_member_accessors"></a><h5>
<a name="id869873"></a>
<a name="id1027486"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -182,7 +182,7 @@
The domain of the random variable is [0,+&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.accuracy"></a><h5>
<a name="id870021"></a>
<a name="id1029457"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -194,7 +194,7 @@
refer to the accuracy data for those functions for more information.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.implementation"></a><h5>
<a name="id870083"></a>
<a name="id1029496"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.implementation">Implementation</a>
</h5>
<p>

14
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Hypergeometric Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="gamma_dist.html" title="Gamma (and Erlang) Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="gamma_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="laplace_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist"></a><a class="link" href="hypergeometric_dist.html" title="Hypergeometric Distribution">
Hypergeometric Distribution</a>
@@ -102,7 +102,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/hypergeometric_pdf_2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist.member_functions"></a><h5>
<a name="id871115"></a>
<a name="id1030368"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.member_functions">Member
Functions</a>
</h5>
@@ -131,7 +131,7 @@
from the population <span class="emphasis"><em>N</em></span>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist.non_member_accessors"></a><h5>
<a name="id871335"></a>
<a name="id1030547"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -185,7 +185,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist.accuracy"></a><h5>
<a name="id871570"></a>
<a name="id1030697"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -211,7 +211,7 @@
meaningless for N &gt;= 10<sup>15</sup>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist.testing"></a><h5>
<a name="id871853"></a>
<a name="id1030931"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.testing">Testing</a>
</h5>
<p>
@@ -223,7 +223,7 @@
this implementation and NTL::RR.
</p>
<a name="math_toolkit.dist.dist_ref.dists.hypergeometric_dist.implementation"></a><h5>
<a name="id871911"></a>
<a name="id1030955"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.implementation">Implementation</a>
</h5>
<p>

22
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/laplace_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Laplace Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="hypergeometric_dist.html" title="Hypergeometric Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="hypergeometric_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="logistic_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist"></a><a class="link" href="laplace_dist.html" title="Laplace Distribution"> Laplace
Distribution</a>
@@ -81,7 +81,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/laplace_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.member_functions"></a><h5>
<a name="id872764"></a>
<a name="id1031726"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.member_functions">Member
Functions</a>
</h5>
@@ -113,7 +113,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.non_member_accessors"></a><h5>
<a name="id873011"></a>
<a name="id1031888"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -133,7 +133,7 @@
The domain of the random variable is [-&#8734;,+&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.accuracy"></a><h5>
<a name="id873160"></a>
<a name="id1031985"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -141,7 +141,7 @@
log and exp functions and as such should have very small errors.
</p>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.implementation"></a><h5>
<a name="id873188"></a>
<a name="id1032005"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.implementation">Implementation</a>
</h5>
<p>
@@ -329,20 +329,20 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.references"></a><h5>
<a name="id873534"></a>
<a name="id1032326"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://mathworld.wolfram.com/LaplaceDistribution.html" target="_top">Weisstein,
Eric W. "Laplace Distribution."</a> From MathWorld--A
Wolfram Web Resource.
</li>
<li class="listitem">
<li>
<a href="http://en.wikipedia.org/wiki/Laplace_distribution" target="_top">Laplace
Distribution</a>
</li>
<li class="listitem">
<li>
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions,
1972, p. 930.
</li>

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/logistic_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Logistic Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="laplace_dist.html" title="Laplace Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="laplace_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="lognormal_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist"></a><a class="link" href="logistic_dist.html" title="Logistic Distribution">
Logistic Distribution</a>
@@ -72,7 +72,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/logistic_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.member_functions"></a><h5>
<a name="id874399"></a>
<a name="id1032816"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.member_functions">Member
Functions</a>
</h5>
@@ -98,7 +98,7 @@
Returns the scale of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.non_member_accessors"></a><h5>
<a name="id874602"></a>
<a name="id1032981"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -128,7 +128,7 @@ as special cases if RealType
and +<a class="link" href="../../../main_overview/error_handling.html#overflow_error">overflow_error</a> respectively.
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.accuracy"></a><h5>
<a name="id874826"></a>
<a name="id1033131"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -140,7 +140,7 @@ as special cases if RealType
error</em></span> can be guarenteed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.implementation"></a><h5>
<a name="id874902"></a>
<a name="id1033187"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.implementation">Implementation</a>
</h5>
<div class="informaltable"><table class="table">

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Log Normal Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="logistic_dist.html" title="Logistic Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="logistic_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="negative_binomial_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist"></a><a class="link" href="lognormal_dist.html" title="Log Normal Distribution">
Log Normal Distribution</a>
@@ -88,7 +88,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/lognormal_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.member_functions"></a><h5>
<a name="id875688"></a>
<a name="id1033982"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.member_functions">Member
Functions</a>
</h5>
@@ -121,7 +121,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.non_member_accessors"></a><h5>
<a name="id875972"></a>
<a name="id1034142"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -141,7 +141,7 @@
The domain of the random variable is [0,+&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.accuracy"></a><h5>
<a name="id876119"></a>
<a name="id1034242"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -150,7 +150,7 @@
function</a>, and as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.implementation"></a><h5>
<a name="id876156"></a>
<a name="id1034269"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.implementation">Implementation</a>
</h5>
<p>

16
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral Beta Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="negative_binomial_dist.html" title="Negative Binomial Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="negative_binomial_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="nc_chi_squared_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist"></a><a class="link" href="nc_beta_dist.html" title="Noncentral Beta Distribution"> Noncentral
Beta Distribution</a>
@@ -96,7 +96,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_beta_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.member_functions"></a><h5>
<a name="id881401"></a>
<a name="id1041350"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.member_functions">Member
Functions</a>
</h5>
@@ -128,7 +128,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.non_member_accessors"></a><h5>
<a name="id881671"></a>
<a name="id1041536"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -152,7 +152,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
The domain of the random variable is [0, 1].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.accuracy"></a><h5>
<a name="id881822"></a>
<a name="id1041637"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -168,7 +168,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
zero error</a>.
</p>
<div class="table">
<a name="id881877"></a><p class="title"><b>Table&#160;13.&#160;Errors In CDF of the Noncentral Beta</b></p>
<a name="id1041672"></a><p class="title"><b>Table&#160;13.&#160;Errors In CDF of the Noncentral Beta</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral Beta">
<colgroup>
<col>
@@ -295,7 +295,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
functions are broadly similar.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.tests"></a><h5>
<a name="id882084"></a>
<a name="id1041878"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.tests">Tests</a>
</h5>
<p>
@@ -307,7 +307,7 @@ is a central &#967;<sup>2</sup> random variable with <span class="emphasis"><em>
tests.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.implementation"></a><h5>
<a name="id882123"></a>
<a name="id1041902"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.implementation">Implementation</a>
</h5>
<p>

18
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral Chi-Squared Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="nc_beta_dist.html" title="Noncentral Beta Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="nc_beta_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="nc_f_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist"></a><a class="link" href="nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">
Noncentral Chi-Squared Distribution</a>
@@ -110,7 +110,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nccs_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.member_functions"></a><h5>
<a name="id883388"></a>
<a name="id1042921"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.member_functions">Member
Functions</a>
</h5>
@@ -183,7 +183,7 @@
<span class="special">==</span> <span class="identifier">q</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.non_member_accessors"></a><h5>
<a name="id884476"></a>
<a name="id1045021"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -203,7 +203,7 @@
The domain of the random variable is [0, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.examples"></a><h5>
<a name="id884624"></a>
<a name="id1045121"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.examples">Examples</a>
</h5>
<p>
@@ -211,7 +211,7 @@
example</a> for the noncentral chi-squared distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.accuracy"></a><h5>
<a name="id884659"></a>
<a name="id1045149"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -223,7 +223,7 @@
zero error</a>.
</p>
<div class="table">
<a name="id884703"></a><p class="title"><b>Table&#160;14.&#160;Errors In CDF of the Noncentral Chi-Squared</b></p>
<a name="id1045179"></a><p class="title"><b>Table&#160;14.&#160;Errors In CDF of the Noncentral Chi-Squared</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral Chi-Squared">
<colgroup>
<col>
@@ -359,7 +359,7 @@
produce an accuracy greater than the square root of the machine epsilon.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.tests"></a><h5>
<a name="id884931"></a>
<a name="id1045408"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.tests">Tests</a>
</h5>
<p>
@@ -373,7 +373,7 @@
to at least 50 decimal digits - and is the used for our accuracy tests.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.implementation"></a><h5>
<a name="id884958"></a>
<a name="id1045427"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.implementation">Implementation</a>
</h5>
<p>

14
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral F Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="nc_chi_squared_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="nc_t_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist"></a><a class="link" href="nc_f_dist.html" title="Noncentral F Distribution"> Noncentral
F Distribution</a>
@@ -95,7 +95,7 @@ random variable with <span class="emphasis"><em>v1</em></span>
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_f_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.member_functions"></a><h5>
<a name="id885988"></a>
<a name="id1046280"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.member_functions">Member
Functions</a>
</h5>
@@ -127,7 +127,7 @@ random variable with <span class="emphasis"><em>v1</em></span>
which this object was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.non_member_accessors"></a><h5>
<a name="id886258"></a>
<a name="id1046469"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -147,7 +147,7 @@ random variable with <span class="emphasis"><em>v1</em></span>
The domain of the random variable is [0, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.accuracy"></a><h5>
<a name="id886407"></a>
<a name="id1047861"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -155,7 +155,7 @@ random variable with <span class="emphasis"><em>v1</em></span>
Beta Distribution</a>: refer to that distribution for accuracy data.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.tests"></a><h5>
<a name="id886443"></a>
<a name="id1047885"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.tests">Tests</a>
</h5>
<p>
@@ -164,7 +164,7 @@ random variable with <span class="emphasis"><em>v1</em></span>
Math library statistical package</a> and its pbeta and dbeta functions.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.implementation"></a><h5>
<a name="id886478"></a>
<a name="id1047909"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.implementation">Implementation</a>
</h5>
<p>

16
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral T Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="nc_f_dist.html" title="Noncentral F Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="nc_f_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="normal_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist"></a><a class="link" href="nc_t_dist.html" title="Noncentral T Distribution"> Noncentral
T Distribution</a>
@@ -85,7 +85,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_t_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.member_functions"></a><h5>
<a name="id887489"></a>
<a name="id1048804"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.member_functions">Member
Functions</a>
</h5>
@@ -111,7 +111,7 @@
which this object was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.non_member_accessors"></a><h5>
<a name="id887703"></a>
<a name="id1048944"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -131,7 +131,7 @@
The domain of the random variable is [-&#8734;, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.accuracy"></a><h5>
<a name="id887852"></a>
<a name="id1049043"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -141,7 +141,7 @@
one shown will have <a class="link" href="../../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
<a name="id887888"></a><p class="title"><b>Table&#160;15.&#160;Errors In CDF of the Noncentral T Distribution</b></p>
<a name="id1049066"></a><p class="title"><b>Table&#160;15.&#160;Errors In CDF of the Noncentral T Distribution</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral T Distribution">
<colgroup>
<col>
@@ -255,7 +255,7 @@
epsilon.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.tests"></a><h5>
<a name="id888050"></a>
<a name="id1049242"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.tests">Tests</a>
</h5>
<p>
@@ -270,7 +270,7 @@
least 50 decimal places.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.implementation"></a><h5>
<a name="id888100"></a>
<a name="id1049262"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.implementation">Implementation</a>
</h5>
<p>

34
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Negative Binomial Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="lognormal_dist.html" title="Log Normal Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="lognormal_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="nc_beta_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist"></a><a class="link" href="negative_binomial_dist.html" title="Negative Binomial Distribution">
Negative Binomial Distribution</a>
@@ -123,7 +123,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/negative_binomial_pdf_2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.related_distributions"></a><h5>
<a name="id877479"></a>
<a name="id1035416"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.related_distributions">Related
Distributions</a>
</h5>
@@ -200,12 +200,12 @@
<p>
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.member_functions"></a><h5>
<a name="id877664"></a>
<a name="id1035527"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.construct"></a><h6>
<a name="id877687"></a>
<a name="id1035540"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.construct">Construct</a>
</h6>
<pre class="programlisting"><span class="identifier">negative_binomial_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">r</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
@@ -221,7 +221,7 @@
<span class="special">&lt;=</span> <span class="number">1</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accessors"></a><h6>
<a name="id877824"></a>
<a name="id1035649"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accessors">Accessors</a>
</h6>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">success_fraction</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span> <span class="comment">// successes / trials (0 &lt;= p &lt;= 1)
@@ -237,7 +237,7 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.lower_bound_on_parameter_p"></a><h6>
<a name="id877937"></a>
<a name="id1035734"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.lower_bound_on_parameter_p">Lower
Bound on Parameter p</a>
</h6>
@@ -298,7 +298,7 @@
vol. 48, no3, 605-621</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.upper_bound_on_parameter_p"></a><h6>
<a name="id878264"></a>
<a name="id1036002"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.upper_bound_on_parameter_p">Upper
Bound on Parameter p</a>
</h6>
@@ -358,7 +358,7 @@
vol. 48, no3, 605-621</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_at_least_a_certain_number_of_failures"></a><h6>
<a name="id878589"></a>
<a name="id1038887"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_at_least_a_certain_number_of_failures">Estimating
Number of Trials to Ensure at Least a Certain Number of Failures</a>
</h6>
@@ -409,7 +409,7 @@
probability of observing k failures or fewer.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_a_maximum_number_of_failures_or_less"></a><h6>
<a name="id878868"></a>
<a name="id1039111"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_a_maximum_number_of_failures_or_less">Estimating
Number of Trials to Ensure a Maximum Number of Failures or Less</a>
</h6>
@@ -457,7 +457,7 @@
probability of observing more than k failures.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.non_member_accessors"></a><h5>
<a name="id879154"></a>
<a name="id1039343"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -478,7 +478,7 @@
in the context of this distribution:
</p>
<div class="table">
<a name="id879296"></a><p class="title"><b>Table&#160;12.&#160;Meaning of the non-member accessors.</b></p>
<a name="id1039436"></a><p class="title"><b>Table&#160;12.&#160;Meaning of the non-member accessors.</b></p>
<div class="table-contents"><table class="table" summary="Meaning of the non-member accessors.">
<colgroup>
<col>
@@ -606,7 +606,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accuracy"></a><h5>
<a name="id879799"></a>
<a name="id1039855"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -616,7 +616,7 @@
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.implementation"></a><h5>
<a name="id879844"></a>
<a name="id1039882"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.implementation">Implementation</a>
</h5>
<p>
@@ -885,13 +885,13 @@
<p>
Implementation notes:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
The real concept type (that deliberately lacks the Lanczos approximation),
was found to take several minutes to evaluate some extreme test values,
so the test has been disabled for this type.
</li>
<li class="listitem">
<li>
Much greater speed, and perhaps greater accuracy, might be achieved
for extreme values by using a normal approximation. This is NOT been
tested or implemented.

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Normal (Gaussian) Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="nc_t_dist.html" title="Noncentral T Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="nc_t_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="pareto.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.normal_dist"></a><a class="link" href="normal_dist.html" title="Normal (Gaussian) Distribution"> Normal
(Gaussian) Distribution</a>
@@ -79,7 +79,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/normal_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.member_functions"></a><h5>
<a name="id888981"></a>
<a name="id1049976"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.member_functions">Member
Functions</a>
</h5>
@@ -109,7 +109,7 @@
be used generically).
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.non_member_accessors"></a><h5>
<a name="id889224"></a>
<a name="id1050343"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -131,7 +131,7 @@
and complement cdf -&#8734; = 1 and +&#8734; = 0, if RealType permits.
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.accuracy"></a><h5>
<a name="id889362"></a>
<a name="id1050441"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -139,7 +139,7 @@
function</a>, and as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.implementation"></a><h5>
<a name="id889406"></a>
<a name="id1050466"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.implementation">Implementation</a>
</h5>
<p>

24
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Pareto Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="normal_dist.html" title="Normal (Gaussian) Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="normal_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="poisson_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.pareto"></a><a class="link" href="pareto.html" title="Pareto Distribution"> Pareto
Distribution</a>
@@ -87,12 +87,12 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/pareto_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.related_distributions"></a><h5>
<a name="id890250"></a>
<a name="id1051249"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.related_distributions">Related
distributions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.pareto.member_functions"></a><h5>
<a name="id890350"></a>
<a name="id1051267"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.member_functions">Member
Functions</a>
</h5>
@@ -118,7 +118,7 @@
Returns the <span class="emphasis"><em>shape</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.non_member_accessors"></a><h5>
<a name="id890552"></a>
<a name="id1051435"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -138,7 +138,7 @@
The supported domain of the random variable is [scale, &#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.accuracy"></a><h5>
<a name="id890691"></a>
<a name="id1051535"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.accuracy">Accuracy</a>
</h5>
<p>
@@ -151,7 +151,7 @@
zero) see also <a class="link" href="../../stat_tut/overview/complements.html#why_complements">why complements?</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.implementation"></a><h5>
<a name="id890762"></a>
<a name="id1051572"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.implementation">Implementation</a>
</h5>
<p>
@@ -319,20 +319,20 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.pareto.references"></a><h5>
<a name="id891369"></a>
<a name="id1051879"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://en.wikipedia.org/wiki/pareto_distribution" target="_top">Pareto
Distribution</a>
</li>
<li class="listitem">
<li>
<a href="http://mathworld.wolfram.com/paretoDistribution.html" target="_top">Weisstein,
Eric W. "Pareto Distribution." From MathWorld--A Wolfram
Web Resource.</a>
</li>
<li class="listitem">
<li>
Handbook of Statistical Distributions with Applications, K Krishnamoorthy,
ISBN 1-58488-635-8, Chapter 23, pp 257 - 267. (Note the meaning of
a and b is reversed in Wolfram and Krishnamoorthy).

12
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Poisson Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="pareto.html" title="Pareto Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="pareto.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="rayleigh.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist"></a><a class="link" href="poisson_dist.html" title="Poisson Distribution"> Poisson
Distribution</a>
@@ -122,7 +122,7 @@
<p>
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions"></a><h5>
<a name="id892046"></a>
<a name="id1052434"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions">Member
Functions</a>
</h5>
@@ -137,7 +137,7 @@
Returns the <span class="emphasis"><em>mean</em></span> of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.non_member_accessors"></a><h5>
<a name="id892157"></a>
<a name="id1052523"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -157,7 +157,7 @@
The domain of the random variable is [0, &#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.accuracy"></a><h5>
<a name="id892305"></a>
<a name="id1052620"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -171,7 +171,7 @@
using an iterative method with a lower tolerance to avoid excessive computation.
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.implementation"></a><h5>
<a name="id892356"></a>
<a name="id1052649"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.implementation">Implementation</a>
</h5>
<p>

22
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Rayleigh Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="poisson_dist.html" title="Poisson Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="poisson_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="students_t_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.rayleigh"></a><a class="link" href="rayleigh.html" title="Rayleigh Distribution"> Rayleigh
Distribution</a>
@@ -86,7 +86,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/rayleigh_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.related_distributions"></a><h5>
<a name="id893128"></a>
<a name="id1053370"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.related_distributions">Related
distributions</a>
</h5>
@@ -102,7 +102,7 @@
distribution</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.member_functions"></a><h5>
<a name="id893222"></a>
<a name="id1053422"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.member_functions">Member
Functions</a>
</h5>
@@ -121,7 +121,7 @@
Returns the <span class="emphasis"><em>sigma</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.non_member_accessors"></a><h5>
<a name="id893403"></a>
<a name="id1053525"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -141,7 +141,7 @@
The domain of the random variable is [0, max_value].
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.accuracy"></a><h5>
<a name="id893551"></a>
<a name="id1053625"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.accuracy">Accuracy</a>
</h5>
<p>
@@ -151,7 +151,7 @@
using NTL RR type with 150-bit accuracy, about 50 decimal digits.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.implementation"></a><h5>
<a name="id893603"></a>
<a name="id1053658"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.implementation">Implementation</a>
</h5>
<p>
@@ -320,14 +320,14 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.references"></a><h5>
<a name="id893967"></a>
<a name="id1053994"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://en.wikipedia.org/wiki/Rayleigh_distribution" target="_top">http://en.wikipedia.org/wiki/Rayleigh_distribution</a>
</li>
<li class="listitem">
<li>
<a href="http://mathworld.wolfram.com/RayleighDistribution.html" target="_top">Weisstein,
Eric W. "Rayleigh Distribution." From MathWorld--A Wolfram
Web Resource.</a>

14
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Students t Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="rayleigh.html" title="Rayleigh Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="rayleigh.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="triangular_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist"></a><a class="link" href="students_t_dist.html" title="Students t Distribution">
Students t Distribution</a>
@@ -97,7 +97,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/students_t_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.member_functions"></a><h5>
<a name="id894675"></a>
<a name="id1054575"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.member_functions">Member
Functions</a>
</h5>
@@ -174,7 +174,7 @@
Engineering Statistics Handbook</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.non_member_accessors"></a><h5>
<a name="id895025"></a>
<a name="id1056182"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -194,7 +194,7 @@
The domain of the random variable is [-&#8734;, +&#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.examples"></a><h5>
<a name="id895173"></a>
<a name="id1056281"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.examples">Examples</a>
</h5>
<p>
@@ -202,7 +202,7 @@
are available illustrating the use of the Student's t distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.accuracy"></a><h5>
<a name="id895208"></a>
<a name="id1056308"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -211,7 +211,7 @@
inverses</a>, refer to accuracy data on those functions for more information.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.implementation"></a><h5>
<a name="id895253"></a>
<a name="id1056339"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.implementation">Implementation</a>
</h5>
<p>

34
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Triangular Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="students_t_dist.html" title="Students t Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="students_t_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="weibull.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist"></a><a class="link" href="triangular_dist.html" title="Triangular Distribution">
Triangular Distribution</a>
@@ -81,11 +81,11 @@
<p>
f(x) =
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
2(x-a)/(b-a) (c-a) for a &lt;= x &lt;= c
</li>
<li class="listitem">
<li>
2(b-x)/(b-a)(b-c) for c &lt; x &lt;= b
</li>
</ul></div>
@@ -128,7 +128,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/triangular_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.member_functions"></a><h5>
<a name="id896464"></a>
<a name="id1057369"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.member_functions">Member
Functions</a>
</h5>
@@ -163,7 +163,7 @@
(default+1).
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.non_member_accessors"></a><h5>
<a name="id896733"></a>
<a name="id1057587"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -184,7 +184,7 @@
range is lower &lt;= x &lt;= upper.
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.accuracy"></a><h5>
<a name="id896871"></a>
<a name="id1057687"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -193,7 +193,7 @@
with arguments nearing the extremes of zero and unity.
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.implementation"></a><h5>
<a name="id896913"></a>
<a name="id1057708"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.implementation">Implementation</a>
</h5>
<p>
@@ -378,33 +378,33 @@
Calculate and plot probability distributions</a>
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.references"></a><h5>
<a name="id897278"></a>
<a name="id1058049"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://en.wikipedia.org/wiki/Triangular_distribution" target="_top">Wikpedia
triangular distribution</a>
</li>
<li class="listitem">
<li>
<a href="http://mathworld.wolfram.com/TriangularDistribution.html" target="_top">Weisstein,
Eric W. "Triangular Distribution." From MathWorld--A Wolfram
Web Resource.</a>
</li>
<li class="listitem">
<li>
Evans, M.; Hastings, N.; and Peacock, B. "Triangular Distribution."
Ch. 40 in Statistical Distributions, 3rd ed. New York: Wiley, pp.
187-188, 2000, ISBN - 0471371246]
</li>
<li class="listitem">
<li>
<a href="http://www.brighton-webs.co.uk/distributions/triangular.asp" target="_top">Brighton
Webs Ltd. BW D-Calc 1.0 Distribution Calculator</a>
</li>
<li class="listitem">
<li>
<a href="http://www.worldscibooks.com/mathematics/etextbook/5720/5720_chap1.pdf" target="_top">The
Triangular Distribution including its history.</a>
</li>
<li class="listitem">
<li>
<a href="http://www.measurement.sk/2002/S1/Wimmer2.pdf" target="_top">Gejza
Wimmer, Viktor Witkovsky and Tomas Duby, Measurement Science Review,
Volume 2, Section 1, 2002, Proper Rounding Of The Measurement Results

30
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Uniform Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="weibull.html" title="Weibull Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="weibull.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../dist_algorithms.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist"></a><a class="link" href="uniform_dist.html" title="Uniform Distribution"> Uniform
Distribution</a>
@@ -67,18 +67,18 @@
<p>
f(x) =
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
1 / (upper - lower) for lower &lt; x &lt; upper
</li>
<li class="listitem">
<li>
zero for x &lt; lower or x &gt; upper
</li>
</ul></div>
<p>
and in this implementation:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
1 / (upper - lower) for x = lower or x = upper
</li></ul></div>
<p>
@@ -117,7 +117,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/uniform_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.member_functions"></a><h5>
<a name="id899619"></a>
<a name="id1060656"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.member_functions">Member
Functions</a>
</h5>
@@ -144,7 +144,7 @@
Returns the <span class="emphasis"><em>upper</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.non_member_accessors"></a><h5>
<a name="id899824"></a>
<a name="id1060822"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -165,7 +165,7 @@
range is only <span class="emphasis"><em>lower</em></span> &lt;= x &lt;= <span class="emphasis"><em>upper</em></span>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.accuracy"></a><h5>
<a name="id899979"></a>
<a name="id1060926"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -173,7 +173,7 @@
and so should have errors within an epsilon or two.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.implementation"></a><h5>
<a name="id900007"></a>
<a name="id1060946"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.implementation">Implementation</a>
</h5>
<p>
@@ -337,20 +337,20 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.references"></a><h5>
<a name="id900092"></a>
<a name="id1062055"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://en.wikipedia.org/wiki/Uniform_distribution_%28continuous%29" target="_top">Wikpedia
continuous uniform distribution</a>
</li>
<li class="listitem">
<li>
<a href="http://mathworld.wolfram.com/UniformDistribution.html" target="_top">Weisstein,
Weisstein, Eric W. "Uniform Distribution." From MathWorld--A
Wolfram Web Resource.</a>
</li>
<li class="listitem">
<li>
<a href="http://www.itl.nist.gov/div898/handbook/eda/section3/eda3662.htm" target="_top">http://www.itl.nist.gov/div898/handbook/eda/section3/eda3662.htm</a>
</li>
</ul></div>

32
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Weibull Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="triangular_dist.html" title="Triangular Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="triangular_dist.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dists.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="uniform_dist.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.dist_ref.dists.weibull"></a><a class="link" href="weibull.html" title="Weibull Distribution"> Weibull
Distribution</a>
@@ -72,15 +72,15 @@
in particular it can mimic distributions where the failure rate varies
over time. If the failure rate is:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
constant over time, then &#945; = 1, suggests that items are failing from
random events.
</li>
<li class="listitem">
<li>
decreases over time, then &#945; &lt; 1, suggesting "infant mortality".
</li>
<li class="listitem">
<li>
increases over time, then &#945; &gt; 1, suggesting "wear out"
- more likely to fail as time goes by.
</li>
@@ -100,7 +100,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/weibull_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.related_distributions"></a><h5>
<a name="id897933"></a>
<a name="id1059345"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.related_distributions">Related
distributions</a>
</h5>
@@ -114,7 +114,7 @@
Distributions, Theory and Applications Samuel Kotz &amp; Saralees Nadarajah</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.member_functions"></a><h5>
<a name="id898059"></a>
<a name="id1059387"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.member_functions">Member
Functions</a>
</h5>
@@ -140,7 +140,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.non_member_accessors"></a><h5>
<a name="id898263"></a>
<a name="id1059545"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -160,7 +160,7 @@
The domain of the random variable is [0, &#8734;].
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.accuracy"></a><h5>
<a name="id898412"></a>
<a name="id1059645"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.accuracy">Accuracy</a>
</h5>
<p>
@@ -170,7 +170,7 @@
as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.implementation"></a><h5>
<a name="id898476"></a>
<a name="id1059686"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.implementation">Implementation</a>
</h5>
<p>
@@ -337,19 +337,19 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.weibull.references"></a><h5>
<a name="id898838"></a>
<a name="id1060013"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a href="http://en.wikipedia.org/wiki/Weibull_distribution" target="_top">http://en.wikipedia.org/wiki/Weibull_distribution</a>
</li>
<li class="listitem">
<li>
<a href="http://mathworld.wolfram.com/WeibullDistribution.html" target="_top">Weisstein,
Eric W. "Weibull Distribution." From MathWorld--A Wolfram
Web Resource.</a>
</li>
<li class="listitem">
<li>
<a href="http://www.itl.nist.gov/div898/handbook/eda/section3/eda3668.htm" target="_top">Weibull
in NIST Exploratory Data Analysis</a>
</li>

148
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Non-Member Properties</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="prev" href="../dist_ref.html" title="Statistical Distributions Reference">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../dist_ref.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dist_ref.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="dists.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
<a name="math_toolkit.dist.dist_ref.nmp"></a><a class="link" href="nmp.html" title="Non-Member Properties"> Non-Member Properties</a>
</h4></div></div></div>
@@ -37,152 +37,152 @@
the function you want if you already know its name.
</p>
<a name="function_index"></a><a name="math_toolkit.dist.dist_ref.nmp.function_index"></a><h5>
<a name="id847334"></a>
<a name="id1002747"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.function_index">Function
Index</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a class="link" href="nmp.html#math.dist.cdf">cdf</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.ccdf">cdf complement</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.chf">chf</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.hazard">hazard</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.kurtosis">kurtosis</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.mean">mean</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.median">median</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.mode">mode</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.pdf">pdf</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.range">range</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.quantile">quantile</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.quantile_c">quantile from the complement</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.skewness">skewness</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.sd">standard_deviation</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.support">support</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.variance">variance</a>.
</li>
</ul></div>
<a name="concept_index"></a><a name="math_toolkit.dist.dist_ref.nmp.conceptual_index"></a><h5>
<a name="id847611"></a>
<a name="id1002971"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.conceptual_index">Conceptual
Index</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a class="link" href="nmp.html#math.dist.ccdf">Complement of the Cumulative Distribution
Function</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.cdf">Cumulative Distribution Function</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.chf">Cumulative Hazard Function</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#cdf_inv">Inverse Cumulative Distribution Function</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#survival_inv">Inverse Survival Function</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.hazard">Hazard Function</a>
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#lower_critical">Lower Critical Value</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.kurtosis">kurtosis</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.kurtosis_excess">kurtosis_excess</a>
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.mean">mean</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.median">median</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.mode">mode</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#cdfPQ">P</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#percent">Percent Point Function</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.pdf">Probability Density Function</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#pmf">Probability Mass Function</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.range">range</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#cdfPQ">Q</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.quantile_c">Quantile from the complement of
the probability</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.skewness">skewness</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.sd">standard deviation</a>
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#survival">Survival Function</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.support">support</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#upper_critical">Upper Critical Value</a>.
</li>
<li class="listitem">
<li>
<a class="link" href="nmp.html#math.dist.variance">variance</a>.
</li>
</ul></div>
<a name="math.dist.cdf"></a><a name="math_toolkit.dist.dist_ref.nmp.cumulative_distribution_function"></a><h5>
<a name="id848006"></a>
<a name="id1003307"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.cumulative_distribution_function">Cumulative
Distribution Function</a>
</h5>
@@ -206,7 +206,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cdf.png" alt="cdf"></span>
</p>
<a name="math.dist.ccdf"></a><a name="math_toolkit.dist.dist_ref.nmp.complement_of_the_cumulative_distribution_function"></a><h5>
<a name="id848225"></a>
<a name="id1004064"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.complement_of_the_cumulative_distribution_function">Complement
of the Cumulative Distribution Function</a>
</h5>
@@ -247,7 +247,7 @@
complement is useful and when it should be used.
</p>
<a name="math.dist.hazard"></a><a name="math_toolkit.dist.dist_ref.nmp.hazard_function"></a><h5>
<a name="id848592"></a>
<a name="id1004353"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.hazard_function">Hazard Function</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -275,7 +275,7 @@
</p></td></tr>
</table></div>
<a name="math.dist.chf"></a><a name="math_toolkit.dist.dist_ref.nmp.cumulative_hazard_function"></a><h5>
<a name="id848815"></a>
<a name="id1004535"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.cumulative_hazard_function">Cumulative
Hazard Function</a>
</h5>
@@ -303,7 +303,7 @@
</p></td></tr>
</table></div>
<a name="math.dist.mean"></a><a name="math_toolkit.dist.dist_ref.nmp.mean"></a><h5>
<a name="id849040"></a>
<a name="id1004718"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.mean">mean</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -318,7 +318,7 @@
distribution).
</p>
<a name="math.dist.median"></a><a name="math_toolkit.dist.dist_ref.nmp.median"></a><h5>
<a name="id849194"></a>
<a name="id1004835"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.median">median</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -328,7 +328,7 @@
Returns the median of the distribution <span class="emphasis"><em>dist</em></span>.
</p>
<a name="math.dist.mode"></a><a name="math_toolkit.dist.dist_ref.nmp.mode"></a><h5>
<a name="id849334"></a>
<a name="id1004944"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.mode">mode</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -342,7 +342,7 @@
if the distribution does not have a defined mode.
</p>
<a name="math.dist.pdf"></a><a name="math_toolkit.dist.dist_ref.nmp.probability_density_function"></a><h5>
<a name="id849479"></a>
<a name="id1005060"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.probability_density_function">Probability
Density Function</a>
</h5>
@@ -371,7 +371,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/pdf.png" alt="pdf"></span>
</p>
<a name="math.dist.range"></a><a name="math_toolkit.dist.dist_ref.nmp.range"></a><h5>
<a name="id849694"></a>
<a name="id1005229"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.range">range</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -381,7 +381,7 @@
Returns the valid range of the random variable over distribution <span class="emphasis"><em>dist</em></span>.
</p>
<a name="math.dist.quantile"></a><a name="math_toolkit.dist.dist_ref.nmp.quantile"></a><h5>
<a name="id849867"></a>
<a name="id1005364"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.quantile">Quantile</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -410,7 +410,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/quantile.png" alt="quantile"></span>
</p>
<a name="math.dist.quantile_c"></a><a name="math_toolkit.dist.dist_ref.nmp.quantile_from_the_complement_of_the_probability_"></a><h5>
<a name="id850148"></a>
<a name="id1005588"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.quantile_from_the_complement_of_the_probability_">Quantile
from the complement of the probability.</a>
</h5>
@@ -456,7 +456,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/survival_inv.png" alt="survival_inv"></span>
</p>
<a name="math.dist.sd"></a><a name="math_toolkit.dist.dist_ref.nmp.standard_deviation"></a><h5>
<a name="id850569"></a>
<a name="id1005928"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.standard_deviation">Standard
Deviation</a>
</h5>
@@ -471,7 +471,7 @@
if the distribution does not have a defined standard deviation.
</p>
<a name="math.dist.support"></a><a name="math_toolkit.dist.dist_ref.nmp.support"></a><h5>
<a name="id850725"></a>
<a name="id1006048"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.support">support</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -488,7 +488,7 @@
where the pdf is zero, and the cdf zero or unity.
</p>
<a name="math.dist.variance"></a><a name="math_toolkit.dist.dist_ref.nmp.variance"></a><h5>
<a name="id850914"></a>
<a name="id1006807"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.variance">Variance</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -502,7 +502,7 @@
if the distribution does not have a defined variance.
</p>
<a name="math.dist.skewness"></a><a name="math_toolkit.dist.dist_ref.nmp.skewness"></a><h5>
<a name="id851067"></a>
<a name="id1006926"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.skewness">Skewness</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -516,7 +516,7 @@
if the distribution does not have a defined skewness.
</p>
<a name="math.dist.kurtosis"></a><a name="math_toolkit.dist.dist_ref.nmp.kurtosis"></a><h5>
<a name="id851221"></a>
<a name="id1007045"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.kurtosis">Kurtosis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
@@ -558,7 +558,7 @@
'Proper' kurtosis can have a value from zero to + infinity.
</p>
<a name="math.dist.kurtosis_excess"></a><a name="math_toolkit.dist.dist_ref.nmp.kurtosis_excess"></a><h5>
<a name="id851484"></a>
<a name="id1007253"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.kurtosis_excess">Kurtosis
excess</a>
</h5>
@@ -593,7 +593,7 @@
The kurtosis excess of a normal distribution is zero.
</p>
<a name="cdfPQ"></a><a name="math_toolkit.dist.dist_ref.nmp.p_and_q"></a><h5>
<a name="id851716"></a>
<a name="id1007437"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.p_and_q">P and Q</a>
</h5>
<p>
@@ -603,7 +603,7 @@
returned by these functions.
</p>
<a name="percent"></a><a name="math_toolkit.dist.dist_ref.nmp.percent_point_function"></a><h5>
<a name="id851762"></a>
<a name="id1007467"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.percent_point_function">Percent
Point Function</a>
</h5>
@@ -612,7 +612,7 @@
the <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="cdf_inv"></a><a name="math_toolkit.dist.dist_ref.nmp.inverse_cdf_function_"></a><h5>
<a name="id851803"></a>
<a name="id1007493"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.inverse_cdf_function_">Inverse
CDF Function.</a>
</h5>
@@ -621,7 +621,7 @@
<a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="survival_inv"></a><a name="math_toolkit.dist.dist_ref.nmp.inverse_survival_function_"></a><h5>
<a name="id851843"></a>
<a name="id1007520"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.inverse_survival_function_">Inverse
Survival Function.</a>
</h5>
@@ -629,7 +629,7 @@
The inverse of the survival function, is the same as computing the <a class="link" href="nmp.html#math.dist.quantile_c">quantile from the complement of the probability</a>.
</p>
<a name="pmf"></a><a name="math_toolkit.dist.dist_ref.nmp.probability_mass_function"></a><h5>
<a name="id851884"></a>
<a name="id1007550"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.probability_mass_function">Probability
Mass Function</a>
</h5>
@@ -643,7 +643,7 @@
applies to continuous distributions.
</p>
<a name="lower_critical"></a><a name="math_toolkit.dist.dist_ref.nmp.lower_critical_value_"></a><h5>
<a name="id851936"></a>
<a name="id1007589"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.lower_critical_value_">Lower
Critical Value.</a>
</h5>
@@ -653,7 +653,7 @@
the <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="upper_critical"></a><a name="math_toolkit.dist.dist_ref.nmp.upper_critical_value_"></a><h5>
<a name="id851977"></a>
<a name="id1007614"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.upper_critical_value_">Upper
Critical Value.</a>
</h5>
@@ -664,7 +664,7 @@
complement of the probability</a>.
</p>
<a name="survival"></a><a name="math_toolkit.dist.dist_ref.nmp.survival_function"></a><h5>
<a name="id852019"></a>
<a name="id1007640"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.survival_function">Survival
Function</a>
</h5>

12
doc/sf_and_dist/html/math_toolkit/dist/future.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Extras/Future Directions</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../dist.html" title="Statistical Distributions and Functions">
<link rel="prev" href="dist_ref/dist_algorithms.html" title="Distribution Algorithms">
@@ -22,12 +22,12 @@
<div class="spirit-nav">
<a accesskey="p" href="dist_ref/dist_algorithms.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dist.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../special.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.dist.future"></a><a class="link" href="future.html" title="Extras/Future Directions"> Extras/Future Directions</a>
</h3></div></div></div>
<a name="math_toolkit.dist.future.adding_additional_location_and_scale_parameters"></a><h5>
<a name="id901682"></a>
<a name="id1063153"></a>
<a class="link" href="future.html#math_toolkit.dist.future.adding_additional_location_and_scale_parameters">Adding
Additional Location and Scale Parameters</a>
</h5>
@@ -55,7 +55,7 @@
functions.
</p>
<a name="math_toolkit.dist.future.an__quot_any_distribution_quot__class"></a><h5>
<a name="id901887"></a>
<a name="id1063318"></a>
<a class="link" href="future.html#math_toolkit.dist.future.an__quot_any_distribution_quot__class">An
"any_distribution" class</a>
</h5>
@@ -84,7 +84,7 @@
use case: this needs more investigation.
</p>
<a name="math_toolkit.dist.future.higher_level_hypothesis_tests"></a><h5>
<a name="id902150"></a>
<a name="id1063526"></a>
<a class="link" href="future.html#math_toolkit.dist.future.higher_level_hypothesis_tests">Higher
Level Hypothesis Tests</a>
</h5>
@@ -104,7 +104,7 @@
<span class="emphasis"><em>expected_mean</em></span>.
</p>
<a name="math_toolkit.dist.future.integration_with_statistical_accumulators"></a><h5>
<a name="id902353"></a>
<a name="id1063688"></a>
<a class="link" href="future.html#math_toolkit.dist.future.integration_with_statistical_accumulators">Integration
With Statistical Accumulators</a>
</h5>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Statistical Distributions Tutorial</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../dist.html" title="Statistical Distributions and Functions">
<link rel="prev" href="../dist.html" title="Statistical Distributions and Functions">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../dist.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../dist.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="stat_tut/overview.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.dist.stat_tut"></a><a class="link" href="stat_tut.html" title="Statistical Distributions Tutorial"> Statistical Distributions
Tutorial</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/dist_params.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Discrete Probability Distributions</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../stat_tut.html" title="Statistical Distributions Tutorial">
<link rel="prev" href="variates.html" title="Random Variates and Distribution Parameters">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="variates.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../stat_tut.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../dist_ref.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
<a name="math_toolkit.dist.stat_tut.dist_params"></a><a class="link" href="dist_params.html" title="Discrete Probability Distributions"> Discrete Probability
Distributions</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Overview of Distributions</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../stat_tut.html" title="Statistical Distributions Tutorial">
<link rel="prev" href="../stat_tut.html" title="Statistical Distributions Tutorial">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../stat_tut.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../stat_tut.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="overview/headers.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
<a name="math_toolkit.dist.stat_tut.overview"></a><a class="link" href="overview.html" title="Overview of Distributions"> Overview of Distributions</a>
</h4></div></div></div>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview/complements.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Complements are supported too - and when to use them</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../overview.html" title="Overview of Distributions">
<link rel="prev" href="generic.html" title="Generic operations common to all distributions are non-member functions">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="generic.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../overview.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="parameters.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.overview.complements"></a><a class="link" href="complements.html" title="Complements are supported too - and when to use them">
Complements are supported too - and when to use them</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview/generic.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Generic operations common to all distributions are non-member functions</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../overview.html" title="Overview of Distributions">
<link rel="prev" href="objects.html" title="Distributions are Objects">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="objects.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../overview.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="complements.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.overview.generic"></a><a class="link" href="generic.html" title="Generic operations common to all distributions are non-member functions"> Generic
operations common to all distributions are non-member functions</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview/headers.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Headers and Namespaces</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../overview.html" title="Overview of Distributions">
<link rel="prev" href="../overview.html" title="Overview of Distributions">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../overview.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../overview.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="objects.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.overview.headers"></a><a class="link" href="headers.html" title="Headers and Namespaces"> Headers
and Namespaces</a>

10
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview/objects.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Distributions are Objects</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../overview.html" title="Overview of Distributions">
<link rel="prev" href="headers.html" title="Headers and Namespaces">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="headers.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../overview.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="generic.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.overview.objects"></a><a class="link" href="objects.html" title="Distributions are Objects"> Distributions
are Objects</a>
@@ -50,13 +50,13 @@
<p>
Making distributions class types does two things:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
It encapsulates the kind of distribution in the C++ type system;
so, for example, Students-t distributions are always a different
C++ type from Chi-Squared distributions.
</li>
<li class="listitem">
<li>
The distribution objects store any parameters associated with the
distribution: for example, the Students-t distribution has a <span class="emphasis"><em>degrees
of freedom</em></span> parameter that controls the shape of the distribution.

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview/parameters.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Parameters can be calculated</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../overview.html" title="Overview of Distributions">
<link rel="prev" href="complements.html" title="Complements are supported too - and when to use them">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="complements.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../overview.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="summary.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.overview.parameters"></a><a class="link" href="parameters.html" title="Parameters can be calculated">
Parameters can be calculated</a>

18
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview/summary.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Summary</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../overview.html" title="Overview of Distributions">
<link rel="prev" href="parameters.html" title="Parameters can be calculated">
@@ -22,32 +22,32 @@
<div class="spirit-nav">
<a accesskey="p" href="parameters.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../overview.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../weg.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.overview.summary"></a><a class="link" href="summary.html" title="Summary"> Summary</a>
</h5></div></div></div>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Distributions are objects, which are constructed from whatever parameters
the distribution may have.
</li>
<li class="listitem">
<li>
Member functions allow you to retrieve the parameters of a distribution.
</li>
<li class="listitem">
<li>
Generic non-member functions provide access to the properties that
are common to all the distributions (PDF, CDF, quantile etc).
</li>
<li class="listitem">
<li>
Complements of probabilities are calculated by wrapping the function's
arguments in a call to <code class="computeroutput"><span class="identifier">complement</span><span class="special">(...)</span></code>.
</li>
<li class="listitem">
<li>
Functions that accept a probability can accept a complement of the
probability as well, by wrapping the function's arguments in a call
to <code class="computeroutput"><span class="identifier">complement</span><span class="special">(...)</span></code>.
</li>
<li class="listitem">
<li>
Static member functions allow the parameters of a distribution to
be found from other information.
</li>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/variates.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Random Variates and Distribution Parameters</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../stat_tut.html" title="Statistical Distributions Tutorial">
<link rel="prev" href="weg/c_sharp.html" title="Using the Distributions from Within C#">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="weg/c_sharp.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../stat_tut.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="dist_params.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
<a name="math_toolkit.dist.stat_tut.variates"></a><a class="link" href="variates.html" title="Random Variates and Distribution Parameters"> Random Variates
and Distribution Parameters</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Worked Examples</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../stat_tut.html" title="Statistical Distributions Tutorial">
<link rel="prev" href="overview/summary.html" title="Summary">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="overview/summary.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../stat_tut.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="weg/dist_construct_eg.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
<a name="math_toolkit.dist.stat_tut.weg"></a><a class="link" href="weg.html" title="Worked Examples"> Worked Examples</a>
</h4></div></div></div>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Binomial Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="f_eg.html" title="F Distribution Examples">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="f_eg.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="binom_eg/binomial_coinflip_example.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.binom_eg"></a><a class="link" href="binom_eg.html" title="Binomial Distribution Examples"> Binomial
Distribution Examples</a>

8
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_conf.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../binom_eg.html" title="Binomial Distribution Examples">
<link rel="prev" href="binomial_quiz_example.html" title="Binomial Quiz Example">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="binomial_quiz_example.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../binom_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="binom_size_eg.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binom_conf"></a><a class="link" href="binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">
Calculating Confidence Limits on the Frequency of Occurrence for a Binomial
@@ -104,13 +104,13 @@
interval. Had we calculate two single-sided intervals each with a risk
that the true value is outside the interval of &#945;, then:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
The risk that it is less than the lower bound is &#945;.
</li></ul></div>
<p>
and
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
The risk that it is greater than the upper bound is also &#945;.
</li></ul></div>
<p>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_size_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Estimating Sample Sizes for a Binomial Distribution.</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../binom_eg.html" title="Binomial Distribution Examples">
<link rel="prev" href="binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="binom_conf.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../binom_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../neg_binom_eg.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binom_size_eg"></a><a class="link" href="binom_size_eg.html" title="Estimating Sample Sizes for a Binomial Distribution.">
Estimating Sample Sizes for a Binomial Distribution.</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Binomial Coin-Flipping Example</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../binom_eg.html" title="Binomial Distribution Examples">
<link rel="prev" href="../binom_eg.html" title="Binomial Distribution Examples">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../binom_eg.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../binom_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="binomial_quiz_example.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_coinflip_example"></a><a class="link" href="binomial_coinflip_example.html" title="Binomial Coin-Flipping Example">
Binomial Coin-Flipping Example</a>

8
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Binomial Quiz Example</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../binom_eg.html" title="Binomial Distribution Examples">
<link rel="prev" href="binomial_coinflip_example.html" title="Binomial Coin-Flipping Example">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="binomial_coinflip_example.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../binom_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="binom_conf.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example"></a><a class="link" href="binomial_quiz_example.html" title="Binomial Quiz Example">
Binomial Quiz Example</a>
@@ -498,7 +498,7 @@ Probability of getting between 4 and 4 answers right by guessing is 0.2252
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments"></a>
</p>
<h5>
<a name="id805635"></a>
<a name="id956292"></a>
<a class="link" href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments">Using
Binomial distribution moments</a>
</h5>
@@ -535,7 +535,7 @@ Skewness is 0.2887
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles"></a>
</p>
<h5>
<a name="id806092"></a>
<a name="id956664"></a>
<a class="link" href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles">Quantiles</a>
</h5>
<p>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/c_sharp.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Using the Distributions from Within C#</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="nag_library.html" title="Comparison with C, R, FORTRAN-style Free Functions">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="nag_library.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../variates.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.c_sharp"></a><a class="link" href="c_sharp.html" title="Using the Distributions from Within C#"> Using the
Distributions from Within C#</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chi Squared Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="st_eg/paired_st.html" title="Comparing two paired samples with the Student's t distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="st_eg/paired_st.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="cs_eg/chi_sq_intervals.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.cs_eg"></a><a class="link" href="cs_eg.html" title="Chi Squared Distribution Examples"> Chi Squared
Distribution Examples</a>

6
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Confidence Intervals on the Standard Deviation</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../cs_eg.html" title="Chi Squared Distribution Examples">
<link rel="prev" href="../cs_eg.html" title="Chi Squared Distribution Examples">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../cs_eg.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../cs_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="chi_sq_test.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals"></a><a class="link" href="chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">
Confidence Intervals on the Standard Deviation</a>
@@ -139,7 +139,7 @@ _____________________________________________
is between 0.00551 and 0.00729.
</p>
<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals.confidence_intervals_as_a_function_of_the_number_of_observations"></a><h5>
<a name="id791033"></a>
<a name="id939249"></a>
<a class="link" href="chi_sq_intervals.html#math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals.confidence_intervals_as_a_function_of_the_number_of_observations">Confidence
intervals as a function of the number of observations</a>
</h5>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_size.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../cs_eg.html" title="Chi Squared Distribution Examples">
<link rel="prev" href="chi_sq_test.html" title="Chi-Square Test for the Standard Deviation">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="chi_sq_test.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../cs_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../f_eg.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_size"></a><a class="link" href="chi_sq_size.html" title="Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation">
Estimating the Required Sample Sizes for a Chi-Square Test for the Standard

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_test.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chi-Square Test for the Standard Deviation</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../cs_eg.html" title="Chi Squared Distribution Examples">
<link rel="prev" href="chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="chi_sq_intervals.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../cs_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="chi_sq_size.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_test"></a><a class="link" href="chi_sq_test.html" title="Chi-Square Test for the Standard Deviation">
Chi-Square Test for the Standard Deviation</a>

6
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Distribution Construction Example</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="../weg.html" title="Worked Examples">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../weg.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="st_eg.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg"></a><a class="link" href="dist_construct_eg.html" title="Distribution Construction Example">
Distribution Construction Example</a>
@@ -332,7 +332,7 @@ error C3861: 'mybetad0': identifier not found
<a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_"></a>
</p>
<h6>
<a name="id782495"></a>
<a name="id930232"></a>
<a class="link" href="dist_construct_eg.html#math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_">Default
arguments to distribution constructors.</a>
</h6>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/error_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Error Handling Example</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="nccs_eg/nccs_power_eg.html" title="Tables of the power function of the &#967;2 test.">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="nccs_eg/nccs_power_eg.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="find_eg.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.error_eg"></a><a class="link" href="error_eg.html" title="Error Handling Example"> Error Handling
Example</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/f_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>F Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="cs_eg/chi_sq_size.html" title="Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="cs_eg/chi_sq_size.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="binom_eg.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.f_eg"></a><a class="link" href="f_eg.html" title="F Distribution Examples"> F Distribution
Examples</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Find Location and Scale Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="error_eg.html" title="Error Handling Example">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="error_eg.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="find_eg/find_location_eg.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.find_eg"></a><a class="link" href="find_eg.html" title="Find Location and Scale Examples"> Find Location
and Scale Examples</a>

6
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Find Location (Mean) Example</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../find_eg.html" title="Find Location and Scale Examples">
<link rel="prev" href="../find_eg.html" title="Find Location and Scale Examples">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../find_eg.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../find_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="find_scale_eg.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg"></a><a class="link" href="find_location_eg.html" title="Find Location (Mean) Example">
Find Location (Mean) Example</a>
@@ -177,7 +177,7 @@ Normal distribution with mean = 1.09023 has fraction &gt; -2, p = 0.999
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location"></a>
</p>
<h5>
<a name="id836556"></a>
<a name="id990115"></a>
<a class="link" href="find_location_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location">Controlling
Error Handling from find_location</a>
</h5>

14
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Find mean and standard deviation example</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../find_eg.html" title="Find Location and Scale Examples">
<link rel="prev" href="find_scale_eg.html" title="Find Scale (Standard Deviation) Example">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="find_scale_eg.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../find_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../nag_library.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg"></a><a class="link" href="find_mean_and_sd_eg.html" title="Find mean and standard deviation example">
Find mean and standard deviation example</a>
@@ -62,7 +62,7 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications"></a>
</p>
<h5>
<a name="id841366"></a>
<a name="id995309"></a>
<a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications">Using
find_location and find_scale to meet dispensing and measurement specifications</a>
</h5>
@@ -246,7 +246,7 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution"></a>
</p>
<h5>
<a name="id842821"></a>
<a name="id996530"></a>
<a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution">Using
Cauchy-Lorentz instead of normal distribution</a>
</h5>
@@ -397,7 +397,7 @@
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation"></a>
</p>
<h5>
<a name="id843660"></a>
<a name="id997178"></a>
<a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation">Changing
the scale or standard deviation</a>
</h5>
@@ -673,7 +673,7 @@
</p>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
Do we over-fill to make sure we meet a minimum specification
(or under-fill to avoid an overdose)?
</li></ul></div>
@@ -684,7 +684,7 @@
</p>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
Do we measure better?
</li></ul></div>
<p>

6
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Find Scale (Standard Deviation) Example</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../find_eg.html" title="Find Location and Scale Examples">
<link rel="prev" href="find_location_eg.html" title="Find Location (Mean) Example">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="find_location_eg.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../find_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="find_mean_and_sd_eg.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg"></a><a class="link" href="find_scale_eg.html" title="Find Scale (Standard Deviation) Example">
Find Scale (Standard Deviation) Example</a>
@@ -179,7 +179,7 @@ Normal distribution with mean = 0 has fraction &gt; -2, p = 0.999
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled"></a>
</p>
<h5>
<a name="id839482"></a>
<a name="id992591"></a>
<a class="link" href="find_scale_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled">Controlling
how Errors from find_scale are handled</a>
</h5>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nag_library.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Comparison with C, R, FORTRAN-style Free Functions</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="find_eg/find_mean_and_sd_eg.html" title="Find mean and standard deviation example">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="find_eg/find_mean_and_sd_eg.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="c_sharp.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.nag_library"></a><a class="link" href="nag_library.html" title="Comparison with C, R, FORTRAN-style Free Functions"> Comparison
with C, R, FORTRAN-style Free Functions</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Non Central Chi Squared Example</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="normal_example/normal_misc.html" title="Some Miscellaneous Examples of the Normal (Gaussian) Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="normal_example/normal_misc.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="nccs_eg/nccs_power_eg.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.nccs_eg"></a><a class="link" href="nccs_eg.html" title="Non Central Chi Squared Example"> Non Central
Chi Squared Example</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg/nccs_power_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Tables of the power function of the &#967;2 test.</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../nccs_eg.html" title="Non Central Chi Squared Example">
<link rel="prev" href="../nccs_eg.html" title="Non Central Chi Squared Example">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../nccs_eg.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../nccs_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../error_eg.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.nccs_eg.nccs_power_eg"></a><a class="link" href="nccs_power_eg.html" title="Tables of the power function of the &#967;2 test.">
Tables of the power function of the &#967;<sup>2</sup> test.</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Negative Binomial Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="binom_eg/binom_size_eg.html" title="Estimating Sample Sizes for a Binomial Distribution.">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="binom_eg/binom_size_eg.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="neg_binom_eg/neg_binom_conf.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg"></a><a class="link" href="neg_binom_eg.html" title="Negative Binomial Distribution Examples"> Negative
Binomial Distribution Examples</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_conf.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
<link rel="prev" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../neg_binom_eg.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../neg_binom_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="neg_binom_size_eg.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.neg_binom_conf"></a><a class="link" href="neg_binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution">
Calculating Confidence Limits on the Frequency of Occurrence for the

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Estimating Sample Sizes for the Negative Binomial.</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
<link rel="prev" href="neg_binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="neg_binom_conf.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../neg_binom_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="negative_binomial_example1.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.neg_binom_size_eg"></a><a class="link" href="neg_binom_size_eg.html" title="Estimating Sample Sizes for the Negative Binomial.">
Estimating Sample Sizes for the Negative Binomial.</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Negative Binomial Sales Quota Example.</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
<link rel="prev" href="neg_binom_size_eg.html" title="Estimating Sample Sizes for the Negative Binomial.">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="neg_binom_size_eg.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../neg_binom_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="negative_binomial_example2.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.negative_binomial_example1"></a><a class="link" href="negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">
Negative Binomial Sales Quota Example.</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Negative Binomial Table Printing Example.</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../neg_binom_eg.html" title="Negative Binomial Distribution Examples">
<link rel="prev" href="negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="negative_binomial_example1.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../neg_binom_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../normal_example.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.neg_binom_eg.negative_binomial_example2"></a><a class="link" href="negative_binomial_example2.html" title="Negative Binomial Table Printing Example.">
Negative Binomial Table Printing Example.</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Normal Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="neg_binom_eg/negative_binomial_example2.html" title="Negative Binomial Table Printing Example.">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="neg_binom_eg/negative_binomial_example2.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="normal_example/normal_misc.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.normal_example"></a><a class="link" href="normal_example.html" title="Normal Distribution Examples"> Normal
Distribution Examples</a>

18
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Some Miscellaneous Examples of the Normal (Gaussian) Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../normal_example.html" title="Normal Distribution Examples">
<link rel="prev" href="../normal_example.html" title="Normal Distribution Examples">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../normal_example.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../normal_example.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../nccs_eg.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc"></a><a class="link" href="normal_misc.html" title="Some Miscellaneous Examples of the Normal (Gaussian) Distribution">
Some Miscellaneous Examples of the Normal (Gaussian) Distribution</a>
@@ -32,7 +32,7 @@
illustrates their use.
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.traditional_tables"></a><h5>
<a name="id822976"></a>
<a name="id974782"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.traditional_tables">Traditional
Tables</a>
</h5>
@@ -278,7 +278,7 @@
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.standard_deviations_either_side_of_the_mean"></a><h5>
<a name="id825752"></a>
<a name="id978207"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.standard_deviations_either_side_of_the_mean">Standard
deviations either side of the Mean</a>
</h5>
@@ -346,12 +346,12 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.some_simple_examples"></a><h5>
<a name="id826405"></a>
<a name="id978734"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.some_simple_examples">Some
simple examples</a>
</h5>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.life_of_light_bulbs"></a><h5>
<a name="id826429"></a>
<a name="id978747"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.life_of_light_bulbs">Life
of light bulbs</a>
</h5>
@@ -435,7 +435,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.how_many_onions_"></a><h5>
<a name="id827056"></a>
<a name="id979564"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.how_many_onions_">How
many onions?</a>
</h5>
@@ -494,7 +494,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.packing_beef"></a><h5>
<a name="id827561"></a>
<a name="id979982"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.packing_beef">Packing
beef</a>
</h5>
@@ -703,7 +703,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.length_of_bolts"></a><h5>
<a name="id830212"></a>
<a name="id982755"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.length_of_bolts">Length
of bolts</a>
</h5>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Student's t Distribution Examples</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../weg.html" title="Worked Examples">
<link rel="prev" href="dist_construct_eg.html" title="Distribution Construction Example">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="dist_construct_eg.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../weg.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="st_eg/tut_mean_intervals.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
<a name="math_toolkit.dist.stat_tut.weg.st_eg"></a><a class="link" href="st_eg.html" title="Student's t Distribution Examples"> Student's
t Distribution Examples</a>

12
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/paired_st.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Comparing two paired samples with the Student's t distribution</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="prev" href="two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="two_sample_students_t.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../st_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../cs_eg.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.st_eg.paired_st"></a><a class="link" href="paired_st.html" title="Comparing two paired samples with the Student's t distribution">
Comparing two paired samples with the Student's t distribution</a>
@@ -42,20 +42,20 @@
<p>
That means we can:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a class="link" href="tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution">Calculate
confidence intervals of the mean</a>. If the endpoints of the
interval differ in sign then we are unable to reject the null-hypothesis
that there is no change.
</li>
<li class="listitem">
<li>
<a class="link" href="tut_mean_test.html" title='Testing a sample mean for difference from a "true" mean'>Test
whether the true mean is zero</a>. If the result is consistent
with a true mean of zero, then we are unable to reject the null-hypothesis
that there is no change.
</li>
<li class="listitem">
<li>
<a class="link" href="tut_mean_size.html" title="Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test">Calculate
how many pairs of readings we would need in order to obtain a significant
result</a>.

14
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_intervals.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Calculating confidence intervals on the mean with the Students-t distribution</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="prev" href="../st_eg.html" title="Student's t Distribution Examples">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../st_eg.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../st_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="tut_mean_test.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.st_eg.tut_mean_intervals"></a><a class="link" href="tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution">
Calculating confidence intervals on the mean with the Students-t distribution</a>
@@ -84,19 +84,19 @@
<p>
From the formula, it should be clear that:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
The width of the confidence interval decreases as the sample size
increases.
</li>
<li class="listitem">
<li>
The width increases as the standard deviation increases.
</li>
<li class="listitem">
<li>
The width increases as the <span class="emphasis"><em>confidence level increases</em></span>
(0.5 towards 0.99999 - stronger).
</li>
<li class="listitem">
<li>
The width increases as the <span class="emphasis"><em>significance level decreases</em></span>
(0.5 towards 0.00000...01 - stronger).
</li>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_size.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="prev" href="tut_mean_test.html" title='Testing a sample mean for difference from a "true" mean'>
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="tut_mean_test.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../st_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="two_sample_students_t.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.st_eg.tut_mean_size"></a><a class="link" href="tut_mean_size.html" title="Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test">
Estimating how large a sample size would have to become in order to give

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_test.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Testing a sample mean for difference from a "true" mean</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="prev" href="tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="tut_mean_intervals.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../st_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="tut_mean_size.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.st_eg.tut_mean_test"></a><a class="link" href="tut_mean_test.html" title='Testing a sample mean for difference from a "true" mean'>
Testing a sample mean for difference from a "true" mean</a>

4
doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/two_sample_students_t.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Comparing the means of two samples with the Students-t test</title>
<link rel="stylesheet" href="../../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../../../../index.html" title="Math Toolkit">
<link rel="up" href="../st_eg.html" title="Student's t Distribution Examples">
<link rel="prev" href="tut_mean_size.html" title="Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="tut_mean_size.html"><img src="../../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../st_eg.html"><img src="../../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../../index.html"><img src="../../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="paired_st.html"><img src="../../../../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
<a name="math_toolkit.dist.stat_tut.weg.st_eg.two_sample_students_t"></a><a class="link" href="two_sample_students_t.html" title="Comparing the means of two samples with the Students-t test">
Comparing the means of two samples with the Students-t test</a>

4
doc/sf_and_dist/html/math_toolkit/extern_c.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>TR1 and C99 external "C" Functions</title>
<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="utils/next_float/float_advance.html" title="Advancing a Floating Point Value by a Specific Representation Distance (ULP) float_advance">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="utils/next_float/float_advance.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="extern_c/tr1.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
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<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.extern_c"></a><a class="link" href="extern_c.html" title='TR1 and C99 external "C" Functions'> TR1 and C99 external "C"
Functions</a>

8
doc/sf_and_dist/html/math_toolkit/extern_c/c99.html
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>C99 C Functions</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
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<link rel="up" href="../extern_c.html" title='TR1 and C99 external "C" Functions'>
<link rel="prev" href="tr1.html" title="C99 and TR1 C Functions Overview">
@@ -22,12 +22,12 @@
<div class="spirit-nav">
<a accesskey="p" href="tr1.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../extern_c.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="tr1_ref.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.extern_c.c99"></a><a class="link" href="c99.html" title="C99 C Functions"> C99 C Functions</a>
</h3></div></div></div>
<a name="math_toolkit.extern_c.c99.supported_c99_functions"></a><h5>
<a name="id993859"></a>
<a name="id1170441"></a>
<a class="link" href="c99.html#math_toolkit.extern_c.c99.supported_c99_functions">Supported
C99 Functions</a>
</h5>
@@ -138,7 +138,7 @@
</span><span class="identifier">acosh</span><span class="special">(</span><span class="number">2</span><span class="special">);</span> <span class="comment">// integer argument is treated as a double, returns double.
</span></pre>
<a name="math_toolkit.extern_c.c99.quick_reference"></a><h5>
<a name="id996814"></a>
<a name="id1173804"></a>
<a class="link" href="c99.html#math_toolkit.extern_c.c99.quick_reference">Quick Reference</a>
</h5>
<p>

36
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>C99 and TR1 C Functions Overview</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
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<link rel="prev" href="../extern_c.html" title='TR1 and C99 external "C" Functions'>
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../extern_c.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../extern_c.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="c99.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.extern_c.tr1"></a><a class="link" href="tr1.html" title="C99 and TR1 C Functions Overview"> C99 and TR1 C Functions Overview</a>
</h3></div></div></div>
@@ -48,15 +48,15 @@
</p>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
The header to include is lightweight (i.e. fast to compile).
</li>
<li class="listitem">
<li>
The functions have extern "C" linkage, and so are usable
from other languages (not just C and C++).
</li>
<li class="listitem">
<li>
C99 and C++ TR1 Standard compatibility.
</li>
</ul></div>
@@ -67,15 +67,15 @@
</p>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
You will need to compile and link to the external Boost.Math libraries.
</li>
<li class="listitem">
<li>
Limited to support for the types, <code class="computeroutput"><span class="keyword">float</span></code>,
<code class="computeroutput"><span class="keyword">double</span></code> and <code class="computeroutput"><span class="keyword">long</span> <span class="keyword">double</span></code>.
</li>
<li class="listitem">
<li>
Error handling is handled via setting ::errno and returning NaN's and
infinities: this may be less flexible than an C++ exception based approach.
</li>
@@ -285,7 +285,7 @@
<a name="math_toolkit.extern_c.tr1.usage_recomendations"></a>
</p>
<h5>
<a name="id985247"></a>
<a name="id1160262"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.usage_recomendations">Usage Recomendations</a>
</h5>
<p>
@@ -295,12 +295,12 @@
</p>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
To include the header only versions of the functions and have an easier
time linking, but a longer compile time.
</li>
<li class="listitem">
<li>
To include the TR1 headers and link against an external library.
</li>
</ul></div>
@@ -336,7 +336,7 @@
<a name="math_toolkit.extern_c.tr1.supported_c99_functions"></a>
</p>
<h5>
<a name="id985516"></a>
<a name="id1160465"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.supported_c99_functions">Supported
C99 Functions</a>
</h5>
@@ -440,7 +440,7 @@
<a name="math_toolkit.extern_c.tr1.supported_tr1_functions"></a>
</p>
<h5>
<a name="id987994"></a>
<a name="id1164362"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.supported_tr1_functions">Supported
TR1 Functions</a>
</h5>
@@ -579,7 +579,7 @@
<a name="math_toolkit.extern_c.tr1.currently_unsupported_c99_functions"></a>
</p>
<h5>
<a name="id991392"></a>
<a name="id1168338"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.currently_unsupported_c99_functions">Currently
Unsupported C99 Functions</a>
</h5>
@@ -650,7 +650,7 @@
<a name="math_toolkit.extern_c.tr1.currently_unsupported_tr1_functions"></a>
</p>
<h5>
<a name="id993348"></a>
<a name="id1170010"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.currently_unsupported_tr1_functions">Currently
Unsupported TR1 Functions</a>
</h5>

10
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>TR1 C Functions Quick Reference</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../extern_c.html" title='TR1 and C99 external "C" Functions'>
<link rel="prev" href="c99.html" title="C99 C Functions">
@@ -22,13 +22,13 @@
<div class="spirit-nav">
<a accesskey="p" href="c99.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../extern_c.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../toolkit.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.extern_c.tr1_ref"></a><a class="link" href="tr1_ref.html" title="TR1 C Functions Quick Reference"> TR1 C Functions Quick
Reference</a>
</h3></div></div></div>
<a name="math_toolkit.extern_c.tr1_ref.supported_tr1_functions"></a><h5>
<a name="id1000265"></a>
<a name="id1177782"></a>
<a class="link" href="tr1_ref.html#math_toolkit.extern_c.tr1_ref.supported_tr1_functions">Supported
TR1 Functions</a>
</h5>
@@ -163,7 +163,7 @@
</span><span class="identifier">expint</span><span class="special">(</span><span class="number">2</span><span class="special">);</span> <span class="comment">// integer argument is treated as a double, returns double.
</span></pre>
<a name="math_toolkit.extern_c.tr1_ref.quick_reference"></a><h5>
<a name="id1003803"></a>
<a name="id1180777"></a>
<a class="link" href="tr1_ref.html#math_toolkit.extern_c.tr1_ref.quick_reference">Quick Reference</a>
</h5>
<pre class="programlisting"><span class="comment">// [5.2.1.1] associated Laguerre polynomials:
@@ -494,7 +494,7 @@
for the full template (header only) version of this function.
</p>
<a name="math_toolkit.extern_c.tr1_ref.currently_unsupported_tr1_functions"></a><h5>
<a name="id1008186"></a>
<a name="id1186146"></a>
<a class="link" href="tr1_ref.html#math_toolkit.extern_c.tr1_ref.currently_unsupported_tr1_functions">Currently
Unsupported TR1 Functions</a>
</h5>

4
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Overview</title>
<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
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@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../index.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="main_overview/intro.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.main_overview"></a><a class="link" href="main_overview.html" title="Overview"> Overview</a>
</h2></div></div></div>

10
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>If and How to Build the Library and its Examples and Tests</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="perf_over.html" title="Performance">
@@ -22,13 +22,13 @@
<div class="spirit-nav">
<a accesskey="p" href="perf_over.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="history1.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
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<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.building"></a><a class="link" href="building.html" title="If and How to Build the Library and its Examples and Tests"> If and How to Build
the Library and its Examples and Tests</a>
</h3></div></div></div>
<a name="math_toolkit.main_overview.building.building_the_library"></a><h5>
<a name="id767113"></a>
<a name="id913889"></a>
<a class="link" href="building.html#math_toolkit.main_overview.building.building_the_library">Building
the Library</a>
</h5>
@@ -93,7 +93,7 @@
building the sources. Boost.Build will do this automatically when appropriate.
</p>
<a name="math_toolkit.main_overview.building.building_the_examples"></a><h5>
<a name="id767633"></a>
<a name="id914334"></a>
<a class="link" href="building.html#math_toolkit.main_overview.building.building_the_examples">Building
the Examples</a>
</h5>
@@ -104,7 +104,7 @@
the Boost headers are in your compilers #include search path.
</p>
<a name="math_toolkit.main_overview.building.building_the_tests"></a><h5>
<a name="id767685"></a>
<a name="id914375"></a>
<a class="link" href="building.html#math_toolkit.main_overview.building.building_the_tests">Building
the Tests</a>
</h5>

8
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Compilers</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
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<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="error_handling.html" title="Error Handling">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="error_handling.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="pol_overview.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
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<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.compilers_overview"></a><a class="link" href="compilers_overview.html" title="Compilers"> Compilers</a>
</h3></div></div></div>
@@ -37,7 +37,7 @@
<p>
</p>
<div class="table">
<a name="id765746"></a><p class="title"><b>Table&#160;9.&#160;Supported/Tested Compilers</b></p>
<a name="id912679"></a><p class="title"><b>Table&#160;9.&#160;Supported/Tested Compilers</b></p>
<div class="table-contents"><table class="table" summary="Supported/Tested Compilers">
<colgroup>
<col>
@@ -549,7 +549,7 @@
<p><br class="table-break">
</p>
<div class="table">
<a name="id766518"></a><p class="title"><b>Table&#160;10.&#160;Unsupported Compilers</b></p>
<a name="id913404"></a><p class="title"><b>Table&#160;10.&#160;Unsupported Compilers</b></p>
<div class="table-contents"><table class="table" summary="Unsupported Compilers">
<colgroup>
<col>

10
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Contact Info and Support</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="tr1.html" title="C99 and C++ TR1 C-style Functions">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="tr1.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../dist.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
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<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.contact"></a><a class="link" href="contact.html" title="Contact Info and Support"> Contact Info and
Support</a>
@@ -30,12 +30,12 @@
<p>
The main support for this library is via the Boost mailing lists:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Use the <a href="http://www.boost.org/more/mailing_lists.htm#users" target="_top">boost-user
list</a> for general support questions.
</li>
<li class="listitem">
<li>
Use the <a href="http://www.boost.org/more/mailing_lists.htm#main" target="_top">boost-developer
list</a> for discussion about implementation and or submission of
extensions.

8
doc/sf_and_dist/html/math_toolkit/main_overview/directories.html
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Directory and File Structure</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="navigation.html" title="Navigation">
@@ -22,13 +22,13 @@
<div class="spirit-nav">
<a accesskey="p" href="navigation.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="namespaces.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.directories"></a><a class="link" href="directories.html" title="Directory and File Structure"> Directory and
File Structure</a>
</h3></div></div></div>
<a name="math_toolkit.main_overview.directories.boost_math"></a><h5>
<a name="id760373"></a>
<a name="id898576"></a>
<a class="link" href="directories.html#math_toolkit.main_overview.directories.boost_math">boost/math</a>
</h5>
<div class="variablelist">
@@ -73,7 +73,7 @@
</dl>
</div>
<a name="math_toolkit.main_overview.directories.boost_libs"></a><h5>
<a name="id760543"></a>
<a name="id906371"></a>
<a class="link" href="directories.html#math_toolkit.main_overview.directories.boost_libs">boost/libs</a>
</h5>
<div class="variablelist">

56
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Error Handling</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="result_type.html" title="Calculation of the Type of the Result">
@@ -22,23 +22,23 @@
<div class="spirit-nav">
<a accesskey="p" href="result_type.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="compilers_overview.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.error_handling"></a><a class="link" href="error_handling.html" title="Error Handling"> Error Handling</a>
</h3></div></div></div>
<a name="math_toolkit.main_overview.error_handling.quick_reference"></a><h5>
<a name="id761595"></a>
<a name="id907304"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.quick_reference">Quick
Reference</a>
</h5>
<p>
Handling of errors by this library is split into two orthogonal parts:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
What kind of error has been raised?
</li>
<li class="listitem">
<li>
What should be done when the error is raised?
</li>
</ul></div>
@@ -134,7 +134,7 @@
the default action for each error shown in bold:
</p>
<div class="table">
<a name="id761891"></a><p class="title"><b>Table&#160;1.&#160;Possible Actions for Domain Errors</b></p>
<a name="id907568"></a><p class="title"><b>Table&#160;1.&#160;Possible Actions for Domain Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Domain Errors">
<colgroup>
<col>
@@ -209,7 +209,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id762152"></a><p class="title"><b>Table&#160;2.&#160;Possible Actions for Pole Errors</b></p>
<a name="id907814"></a><p class="title"><b>Table&#160;2.&#160;Possible Actions for Pole Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Pole Errors">
<colgroup>
<col>
@@ -284,7 +284,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id762411"></a><p class="title"><b>Table&#160;3.&#160;Possible Actions for Overflow Errors</b></p>
<a name="id908060"></a><p class="title"><b>Table&#160;3.&#160;Possible Actions for Overflow Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Overflow Errors">
<colgroup>
<col>
@@ -359,7 +359,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id762670"></a><p class="title"><b>Table&#160;4.&#160;Possible Actions for Underflow Errors</b></p>
<a name="id908306"></a><p class="title"><b>Table&#160;4.&#160;Possible Actions for Underflow Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Underflow Errors">
<colgroup>
<col>
@@ -434,7 +434,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id762859"></a><p class="title"><b>Table&#160;5.&#160;Possible Actions for Denorm Errors</b></p>
<a name="id909040"></a><p class="title"><b>Table&#160;5.&#160;Possible Actions for Denorm Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Denorm Errors">
<colgroup>
<col>
@@ -509,7 +509,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id763049"></a><p class="title"><b>Table&#160;6.&#160;Possible Actions for Rounding Errors</b></p>
<a name="id909223"></a><p class="title"><b>Table&#160;6.&#160;Possible Actions for Rounding Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Rounding Errors">
<colgroup>
<col>
@@ -584,7 +584,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id763247"></a><p class="title"><b>Table&#160;7.&#160;Possible Actions for Internal Evaluation Errors</b></p>
<a name="id909412"></a><p class="title"><b>Table&#160;7.&#160;Possible Actions for Internal Evaluation Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Internal Evaluation Errors">
<colgroup>
<col>
@@ -659,7 +659,7 @@
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="id763445"></a><p class="title"><b>Table&#160;8.&#160;Possible Actions for Indeterminate Result Errors</b></p>
<a name="id909601"></a><p class="title"><b>Table&#160;8.&#160;Possible Actions for Indeterminate Result Errors</b></p>
<div class="table-contents"><table class="table" summary="Possible Actions for Indeterminate Result Errors">
<colgroup>
<col>
@@ -735,7 +735,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.main_overview.error_handling.rationale"></a><h5>
<a name="id763651"></a>
<a name="id909794"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.rationale">Rationale</a>
</h5>
<p>
@@ -743,18 +743,18 @@
the default behaviours were chosen based on feedback during the formal review
of this library. It was felt that:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Genuine errors should be flagged with exceptions rather than following
C-compatible behaviour and setting ::errno.
</li>
<li class="listitem">
<li>
Numeric underflow and denormalised results were not considered to be
fatal errors in most cases, so it was felt that these should be ignored.
</li>
</ul></div>
<a name="math_toolkit.main_overview.error_handling.finding_more_information"></a><h5>
<a name="id763700"></a>
<a name="id909829"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.finding_more_information">Finding
More Information</a>
</h5>
@@ -776,7 +776,7 @@
The various kind of errors are described in more detail below.
</p>
<a name="domain_error"></a><a name="math_toolkit.main_overview.error_handling.domain_errors"></a><h5>
<a name="id763770"></a>
<a name="id909881"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.domain_errors">Domain
Errors</a>
</h5>
@@ -848,7 +848,7 @@
for more details.
</p>
<a name="pole_error"></a><a name="math_toolkit.main_overview.error_handling.evaluation_at_a_pole"></a><h5>
<a name="id764067"></a>
<a name="id910130"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.evaluation_at_a_pole">Evaluation
at a pole</a>
</h5>
@@ -887,7 +887,7 @@
for more details.
</p>
<a name="overflow_error"></a><a name="math_toolkit.main_overview.error_handling.numeric_overflow"></a><h5>
<a name="id764307"></a>
<a name="id910337"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.numeric_overflow">Numeric
Overflow</a>
</h5>
@@ -912,7 +912,7 @@
doesn't support infinities, the maximum value for the type is returned.
</p>
<a name="underflow_error"></a><a name="math_toolkit.main_overview.error_handling.numeric_underflow"></a><h5>
<a name="id764519"></a>
<a name="id910526"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.numeric_underflow">Numeric
Underflow</a>
</h5>
@@ -935,7 +935,7 @@
an <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">underflow_error</span></code> C++ exception.
</p>
<a name="denorm_error"></a><a name="math_toolkit.main_overview.error_handling.denormalisation_errors"></a><h5>
<a name="id764686"></a>
<a name="id910671"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.denormalisation_errors">Denormalisation
Errors</a>
</h5>
@@ -958,7 +958,7 @@
throws an <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">underflow_error</span></code> C++ exception.
</p>
<a name="evaluation_error"></a><a name="math_toolkit.main_overview.error_handling.evaluation_errors"></a><h5>
<a name="id764866"></a>
<a name="id910833"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.evaluation_errors">Evaluation
Errors</a>
</h5>
@@ -995,7 +995,7 @@
for more details.
</p>
<a name="indeterminate_result_error"></a><a name="math_toolkit.main_overview.error_handling.indeterminate_result_errors"></a><h5>
<a name="id765114"></a>
<a name="id911048"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.indeterminate_result_errors">Indeterminate
Result Errors</a>
</h5>
@@ -1022,7 +1022,7 @@
the result of 0<sup>0</sup> is 1, even though the result is actually mathematically indeterminate.
</p>
<a name="rounding_error"></a><a name="math_toolkit.main_overview.error_handling.rounding_errors"></a><h5>
<a name="id765293"></a>
<a name="id911198"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.rounding_errors">Rounding
Errors</a>
</h5>
@@ -1062,7 +1062,7 @@
for more details.
</p>
<a name="checked_narrowing_cast"></a><a name="math_toolkit.main_overview.error_handling.errors_from_typecasts"></a><h5>
<a name="id765562"></a>
<a name="id912522"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.errors_from_typecasts">Errors
from typecasts</a>
</h5>

150
doc/sf_and_dist/html/math_toolkit/main_overview/history1.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>History and What's New</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="building.html" title="If and How to Build the Library and its Examples and Tests">
@@ -22,21 +22,33 @@
<div class="spirit-nav">
<a accesskey="p" href="building.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="tr1.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.history1"></a><a class="link" href="history1.html" title="History and What's New"> History and What's
New</a>
</h3></div></div></div>
<p>
<a name="math_toolkit.main_overview.history1.boost_1_44_0"></a>
</p>
<h5>
<a name="id914610"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_44_0">Boost-1.44.0</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul type="disc"><li>
Fixed incorrect range and support for Rayleigh distribution.
</li></ul></div>
<p>
<a name="math_toolkit.main_overview.history1.boost_1_41_0"></a>
</p>
<h5>
<a name="id767961"></a>
<a name="id914634"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_41_0">Boost-1.41.0</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
Significantly improved performance for the incomplete gamma function
and it's inverse.
</li></ul></div>
@@ -44,41 +56,41 @@
<a name="math_toolkit.main_overview.history1.boost_1_40_0"></a>
</p>
<h5>
<a name="id767992"></a>
<a name="id914658"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_40_0">Boost-1.40.0</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Added support for MPFR as a bignum type.
</li>
<li class="listitem">
<li>
Added some full specializations of the policy classes to reduce compile
times.
</li>
<li class="listitem">
<li>
Added logistic and hypergeometric distributions, from Gautam Sewani's
Google Summer of Code project.
</li>
<li class="listitem">
<li>
Added Laplace distribution submitted by Thijs van den Berg.
</li>
<li class="listitem">
<li>
Updated performance test code to include new distributions, and improved
the performance of the non-central distributions.
</li>
<li class="listitem">
<li>
Added SSE2 optimised <a class="link" href="../backgrounders/lanczos.html" title="The Lanczos Approximation">Lanczos
approximation</a> code, from Gautam Sewani's Google Summer of Code
project.
</li>
<li class="listitem">
<li>
Fixed bug in cyl_bessel_i that used an incorrect approximation for
&#957; = 0.5, also effects the non-central Chi Square Distribution when &#957; =
3, see bug report <a href="https://svn.boost.org/trac/boost/ticket/2877" target="_top">#2877</a>.
</li>
<li class="listitem">
<li>
Fixed minor bugs <a href="https://svn.boost.org/trac/boost/ticket/2873" target="_top">#2873</a>.
</li>
</ul></div>
@@ -86,16 +98,16 @@
<a name="math_toolkit.main_overview.history1.boost_1_38_0"></a>
</p>
<h5>
<a name="id768069"></a>
<a name="id914746"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_38_0">Boost-1.38.0</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Added Johan R&#229;de's optimised floating point classification routines.
</li>
<li class="listitem">
<li>
Fixed code so that it compiles in GCC's -pedantic mode (bug report
<a href="https://svn.boost.org/trac/boost/ticket/1451" target="_top">#1451</a>).
</li>
@@ -104,49 +116,49 @@
<a name="math_toolkit.main_overview.history1.boost_1_37_0"></a>
</p>
<h5>
<a name="id768150"></a>
<a name="id914782"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_37_0">Boost-1.37.0</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul type="disc"><li>
Improved accuracy and testing of the inverse hypergeometric functions.
</li></ul></div>
<p>
<a name="math_toolkit.main_overview.history1.boost_1_36_0"></a>
</p>
<h5>
<a name="id768180"></a>
<a name="id914806"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_36_0">Boost-1.36.0</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Added Noncentral Chi Squared Distribution.
</li>
<li class="listitem">
<li>
Added Noncentral Beta Distribution.
</li>
<li class="listitem">
<li>
Added Noncentral F Distribution.
</li>
<li class="listitem">
<li>
Added Noncentral T Distribution.
</li>
<li class="listitem">
<li>
Added Exponential Integral Functions.
</li>
<li class="listitem">
<li>
Added Zeta Function.
</li>
<li class="listitem">
<li>
Added Rounding and Truncation functions.
</li>
<li class="listitem">
<li>
Added Compile time powers of runtime bases.
</li>
<li class="listitem">
<li>
Added SSE2 optimizations for Lanczos evaluation.
</li>
</ul></div>
@@ -154,37 +166,37 @@
<a name="math_toolkit.main_overview.history1.boost_1_35_0__post_review_first_official_release"></a>
</p>
<h5>
<a name="id768272"></a>
<a name="id914892"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_35_0__post_review_first_official_release">Boost-1.35.0:
Post Review First Official Release</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Added Policy based framework that allows fine grained control over
function behaviour.
</li>
<li class="listitem">
<li>
<span class="bold"><strong>Breaking change:</strong></span> Changed default behaviour
for domain, pole and overflow errors to throw an exception (based on
review feedback), this behaviour can be customised using <a class="link" href="../policy.html" title="Policies">Policy</a>'s.
</li>
<li class="listitem">
<li>
<span class="bold"><strong>Breaking change:</strong></span> Changed exception
thrown when an internal evaluation error occurs to boost::math::evaluation_error.
</li>
<li class="listitem">
<li>
<span class="bold"><strong>Breaking change:</strong></span> Changed discrete
quantiles to return an integer result: this is anything up to 20 times
faster than finding the true root, this behaviour can be customised
using <a class="link" href="../policy.html" title="Policies">Policy</a>'s.
</li>
<li class="listitem">
<li>
Polynomial/rational function evaluation is now customisable and hopefully
faster than before.
</li>
<li class="listitem">
<li>
Added performance test program.
</li>
</ul></div>
@@ -192,18 +204,18 @@
<a name="math_toolkit.main_overview.history1.milestone_4__second_review_candidate__1st_march_2007_"></a>
</p>
<h5>
<a name="id768376"></a>
<a name="id914978"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_4__second_review_candidate__1st_march_2007_">Milestone
4: Second Review Candidate (1st March 2007)</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Moved Xiaogang Zhang's Bessel Functions code into the library, and
brought them into line with the rest of the code.
</li>
<li class="listitem">
<li>
Added C# "Distribution Explorer" demo application.
</li>
</ul></div>
@@ -211,31 +223,31 @@
<a name="math_toolkit.main_overview.history1.milestone_3__first_review_candidate__31st_dec_2006_"></a>
</p>
<h5>
<a name="id768418"></a>
<a name="id915010"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_3__first_review_candidate__31st_dec_2006_">Milestone
3: First Review Candidate (31st Dec 2006)</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Implemented the main probability distribution and density functions.
</li>
<li class="listitem">
<li>
Implemented digamma.
</li>
<li class="listitem">
<li>
Added more factorial functions.
</li>
<li class="listitem">
<li>
Implemented the Hermite, Legendre and Laguerre polynomials plus the
spherical harmonic functions from TR1.
</li>
<li class="listitem">
<li>
Moved Xiaogang Zhang's elliptic integral code into the library, and
brought them into line with the rest of the code.
</li>
<li class="listitem">
<li>
Moved Hubert Holin's existing Boost.Math special functions into this
library and brought them into line with the rest of the code.
</li>
@@ -244,40 +256,40 @@
<a name="math_toolkit.main_overview.history1.milestone_2__released_september_10th_2006"></a>
</p>
<h5>
<a name="id768493"></a>
<a name="id915073"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_2__released_september_10th_2006">Milestone
2: Released September 10th 2006</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Implement preview release of the statistical distributions.
</li>
<li class="listitem">
<li>
Added statistical distributions tutorial.
</li>
<li class="listitem">
<li>
Implemented root finding algorithms.
</li>
<li class="listitem">
<li>
Implemented the inverses of the incomplete gamma and beta functions.
</li>
<li class="listitem">
<li>
Rewrite erf/erfc as rational approximations (valid to 128-bit precision).
</li>
<li class="listitem">
<li>
Integrated the statistical results generated from the test data with
Boost.Test: uses a database of expected results, indexed by test, floating
point type, platform, and compiler.
</li>
<li class="listitem">
<li>
Improved lgamma near 1 and 2 (rational approximations).
</li>
<li class="listitem">
<li>
Improved erf/erfc inverses (rational approximations).
</li>
<li class="listitem">
<li>
Implemented Rational function generation (the Remez method).
</li>
</ul></div>
@@ -285,29 +297,29 @@
<a name="math_toolkit.main_overview.history1.milestone_1__released_march_31st_2006"></a>
</p>
<h5>
<a name="id768591"></a>
<a name="id915154"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.milestone_1__released_march_31st_2006">Milestone
1: Released March 31st 2006</a>
</h5>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Implement gamma/beta/erf functions along with their incomplete counterparts.
</li>
<li class="listitem">
<li>
Generate high quality test data, against which future improvements
can be judged.
</li>
<li class="listitem">
<li>
Provide tools for the evaluation of infinite series, continued fractions,
and rational functions.
</li>
<li class="listitem">
<li>
Provide tools for testing against tabulated test data, and collecting
statistics on error rates.
</li>
<li class="listitem">
<li>
Provide sufficient docs for people to be able to find their way around
the library.
</li>

10
doc/sf_and_dist/html/math_toolkit/main_overview/intro.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>About the Math Toolkit</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="../main_overview.html" title="Overview">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="../main_overview.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="navigation.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.intro"></a><a class="link" href="intro.html" title="About the Math Toolkit"> About the Math Toolkit</a>
</h3></div></div></div>
@@ -30,7 +30,7 @@
This library is divided into three interconnected parts:
</p>
<a name="math_toolkit.main_overview.intro.statistical_distributions"></a><h5>
<a name="id759837"></a>
<a name="id898139"></a>
<a class="link" href="intro.html#math_toolkit.main_overview.intro.statistical_distributions">Statistical
Distributions</a>
</h5>
@@ -56,7 +56,7 @@
tests.
</p>
<a name="math_toolkit.main_overview.intro.mathematical_special_functions"></a><h5>
<a name="id759940"></a>
<a name="id898223"></a>
<a class="link" href="intro.html#math_toolkit.main_overview.intro.mathematical_special_functions">Mathematical
Special Functions</a>
</h5>
@@ -83,7 +83,7 @@
<span class="keyword">double</span></code>.
</p>
<a name="math_toolkit.main_overview.intro.implementation_toolkit"></a><h5>
<a name="id760024"></a>
<a name="id898291"></a>
<a class="link" href="intro.html#math_toolkit.main_overview.intro.implementation_toolkit">Implementation
Toolkit</a>
</h5>

4
doc/sf_and_dist/html/math_toolkit/main_overview/namespaces.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Namespaces</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="directories.html" title="Directory and File Structure">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="directories.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="result_type.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.namespaces"></a><a class="link" href="namespaces.html" title="Namespaces"> Namespaces</a>
</h3></div></div></div>

6
doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Navigation</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="intro.html" title="About the Math Toolkit">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="intro.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="directories.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.navigation"></a><a class="link" href="navigation.html" title="Navigation"> Navigation</a>
</h3></div></div></div>
@@ -31,7 +31,7 @@
as handy shortcuts for common navigation tasks.
</p>
<a name="math_toolkit.main_overview.navigation.shortcuts"></a><h6>
<a name="id760170"></a>
<a name="id898390"></a>
<a class="link" href="navigation.html#math_toolkit.main_overview.navigation.shortcuts">Shortcuts</a>
</h6>
<div class="blockquote"><blockquote class="blockquote">

10
doc/sf_and_dist/html/math_toolkit/main_overview/perf_over.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Performance</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="threads.html" title="Thread Safety">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="threads.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="building.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.perf_over"></a><a class="link" href="perf_over.html" title="Performance"> Performance</a>
</h3></div></div></div>
@@ -54,13 +54,13 @@
</p>
<p>
</p>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<div class="orderedlist"><ol type="1">
<li>
Turn on your compilers optimisations: the difference between "release"
and "debug" builds can easily be a <a class="link" href="../perf/getting_best.html" title="Getting the Best Performance from this Library">factor
of 20</a>.
</li>
<li class="listitem">
<li>
Pick your compiler carefully: <a class="link" href="../perf/comp_compilers.html" title="Comparing Compilers">performance
differences of up to 8 fold</a> have been found between some windows
compilers for example.

26
doc/sf_and_dist/html/math_toolkit/main_overview/pol_overview.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Configuration and Policies</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="compilers_overview.html" title="Compilers">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="compilers_overview.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="threads.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.pol_overview"></a><a class="link" href="pol_overview.html" title="Configuration and Policies"> Configuration
and Policies</a>
@@ -62,31 +62,31 @@
</p>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
<a class="link" href="../policy/pol_ref/error_handling_policies.html" title="Error Handling Policies">How
results from 'bad' arguments are handled</a>, including those that
cannot be fully evaluated.
</li>
<li class="listitem">
<li>
How <a class="link" href="../policy/pol_ref/internal_promotion.html" title="Internal Promotion Policies">accuracy
is controlled by internal promotion</a> to use more precise types.
</li>
<li class="listitem">
<li>
What working <a class="link" href="../policy/pol_ref/precision_pol.html" title="Precision Policies">precision</a>
should be used to calculate results.
</li>
<li class="listitem">
<li>
What to do when a <a class="link" href="../policy/pol_ref/assert_undefined.html" title="Mathematically Undefined Function Policies">mathematically
undefined function</a> is used: Should this raise a run-time or
compile-time error?
</li>
<li class="listitem">
<li>
Whether <a class="link" href="../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">discrete
functions</a>, like the binomial, should return real or only integral
values, and how they are rounded.
</li>
<li class="listitem">
<li>
How many iterations a special function is permitted to perform in a
series evaluation or root finding algorithm before it gives up and
raises an <a class="link" href="error_handling.html#evaluation_error">evaluation_error</a>.
@@ -99,18 +99,18 @@
</p>
<p>
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
<div class="itemizedlist"><ul type="disc">
<li>
Using <a class="link" href="../policy/pol_ref/policy_defaults.html" title="Using macros to Change the Policy Defaults">macros</a>
to change any default policy: the is the prefered method for installation
wide policies.
</li>
<li class="listitem">
<li>
At your chosen <a class="link" href="../policy/pol_ref/namespace_pol.html" title="Setting Polices at Namespace Scope">namespace
scope</a> for distributions and/or functions: this is the prefered
method for project, namespace, or translation unit scope policies.
</li>
<li class="listitem">
<li>
In an ad-hoc manner <a class="link" href="../policy/pol_tutorial/ad_hoc_sf_policies.html" title="Changing the Policy on an Ad Hoc Basis for the Special Functions">by
passing a specific policy to a special function</a>, or to a <a class="link" href="../policy/pol_tutorial/ad_hoc_dist_policies.html" title="Setting Policies for Distributions on an Ad Hoc Basis">statistical
distribution</a>.

18
doc/sf_and_dist/html/math_toolkit/main_overview/result_type.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Calculation of the Type of the Result</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<meta name="generator" content="DocBook XSL Stylesheets V1.74.0">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../main_overview.html" title="Overview">
<link rel="prev" href="namespaces.html" title="Namespaces">
@@ -22,7 +22,7 @@
<div class="spirit-nav">
<a accesskey="p" href="namespaces.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../main_overview.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="error_handling.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.main_overview.result_type"></a><a class="link" href="result_type.html" title="Calculation of the Type of the Result"> Calculation
of the Type of the Result</a>
@@ -53,31 +53,31 @@
<p>
Otherwise, the type of the result is computed using the following logic:
</p>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<div class="orderedlist"><ol type="1">
<li>
Any arguments that are not template arguments are disregarded from further
analysis.
</li>
<li class="listitem">
<li>
For each type in the argument list, if that type is an integer type then
it is treated as if it were of type double for the purposes of further
analysis.
</li>
<li class="listitem">
<li>
If any of the arguments is a user-defined class type, then the result
type is the first such class type that is constructible from all of the
other argument types.
</li>
<li class="listitem">
<li>
If any of the arguments is of type <code class="computeroutput"><span class="keyword">long</span>
<span class="keyword">double</span></code>, then the result is of
type <code class="computeroutput"><span class="keyword">long</span> <span class="keyword">double</span></code>.
</li>
<li class="listitem">
<li>
If any of the arguments is of type <code class="computeroutput"><span class="keyword">double</span></code>,
then the result is of type <code class="computeroutput"><span class="keyword">double</span></code>.
</li>
<li class="listitem">
<li>
Otherwise the result is of type <code class="computeroutput"><span class="keyword">float</span></code>.
</li>
</ol></div>

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