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mirror of https://github.com/boostorg/math.git synced 2026-01-19 04:22:09 +00:00

Fix inspection report issues.

[SVN r67727]
This commit is contained in:
John Maddock
2011-01-06 16:55:48 +00:00
parent 19fedcf565
commit 5b4f192716
142 changed files with 667 additions and 657 deletions

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@@ -53,7 +53,7 @@
Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani and
Thijs van den Berg</p></div>
<div><div class="legalnotice">
<a name="id972770"></a><p>
<a name="id1004023"></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>
@@ -502,7 +502,7 @@
</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: January 01, 2011 at 17:05:57 GMT</small></p></td>
<td align="left"><p><small>Last revised: January 06, 2011 at 16:44:39 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>

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@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id1403377"></a>Function Index</h2></div></div></div>
<a name="id1428570"></a>Function Index</h2></div></div></div>
<p><a class="link" href="s12.html#idx_id_0">A</a> <a class="link" href="s12.html#idx_id_1">B</a> <a class="link" href="s12.html#idx_id_2">C</a> <a class="link" href="s12.html#idx_id_3">D</a> <a class="link" href="s12.html#idx_id_4">E</a> <a class="link" href="s12.html#idx_id_5">F</a> <a class="link" href="s12.html#idx_id_6">G</a> <a class="link" href="s12.html#idx_id_7">H</a> <a class="link" href="s12.html#idx_id_8">I</a> <a class="link" href="s12.html#idx_id_9">K</a> <a class="link" href="s12.html#idx_id_10">L</a> <a class="link" href="s12.html#idx_id_11">M</a> <a class="link" href="s12.html#idx_id_12">N</a> <a class="link" href="s12.html#idx_id_13">P</a> <a class="link" href="s12.html#idx_id_14">Q</a> <a class="link" href="s12.html#idx_id_15">R</a> <a class="link" href="s12.html#idx_id_16">S</a> <a class="link" href="s12.html#idx_id_17">T</a> <a class="link" href="s12.html#idx_id_18">U</a> <a class="link" href="s12.html#idx_id_19">V</a> <a class="link" href="s12.html#idx_id_20">Z</a> </p>
<div class="variablelist"><dl>
<dt>

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</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id1406130"></a>Class Index</h2></div></div></div>
<a name="id1432416"></a>Class Index</h2></div></div></div>
<p><a class="link" href="s13.html#idx_id_21">B</a> <a class="link" href="s13.html#idx_id_22">C</a> <a class="link" href="s13.html#idx_id_23">D</a> <a class="link" href="s13.html#idx_id_24">E</a> <a class="link" href="s13.html#idx_id_25">F</a> <a class="link" href="s13.html#idx_id_26">G</a> <a class="link" href="s13.html#idx_id_27">H</a> <a class="link" href="s13.html#idx_id_28">I</a> <a class="link" href="s13.html#idx_id_29">L</a> <a class="link" href="s13.html#idx_id_30">M</a> <a class="link" href="s13.html#idx_id_31">N</a> <a class="link" href="s13.html#idx_id_32">P</a> <a class="link" href="s13.html#idx_id_33">R</a> <a class="link" href="s13.html#idx_id_34">S</a> <a class="link" href="s13.html#idx_id_35">T</a> <a class="link" href="s13.html#idx_id_36">U</a> <a class="link" href="s13.html#idx_id_37">W</a> </p>
<div class="variablelist"><dl>
<dt>

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@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id1406899"></a>Typedef Index</h2></div></div></div>
<a name="id1434278"></a>Typedef Index</h2></div></div></div>
<p><a class="link" href="s14.html#idx_id_38">A</a> <a class="link" href="s14.html#idx_id_39">B</a> <a class="link" href="s14.html#idx_id_40">C</a> <a class="link" href="s14.html#idx_id_41">D</a> <a class="link" href="s14.html#idx_id_42">E</a> <a class="link" href="s14.html#idx_id_43">F</a> <a class="link" href="s14.html#idx_id_44">G</a> <a class="link" href="s14.html#idx_id_45">H</a> <a class="link" href="s14.html#idx_id_46">I</a> <a class="link" href="s14.html#idx_id_47">L</a> <a class="link" href="s14.html#idx_id_48">N</a> <a class="link" href="s14.html#idx_id_49">O</a> <a class="link" href="s14.html#idx_id_50">P</a> <a class="link" href="s14.html#idx_id_51">R</a> <a class="link" href="s14.html#idx_id_52">S</a> <a class="link" href="s14.html#idx_id_53">T</a> <a class="link" href="s14.html#idx_id_54">U</a> <a class="link" href="s14.html#idx_id_55">V</a> <a class="link" href="s14.html#idx_id_56">W</a> </p>
<div class="variablelist"><dl>
<dt>

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@@ -24,7 +24,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id1410638"></a>Macro Index</h2></div></div></div>
<a name="id1435558"></a>Macro Index</h2></div></div></div>
<p><a class="link" href="s15.html#idx_id_57">B</a> <a class="link" href="s15.html#idx_id_58">F</a> </p>
<div class="variablelist"><dl>
<dt>

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@@ -23,7 +23,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id1411470"></a>Index</h2></div></div></div>
<a name="id1438302"></a>Index</h2></div></div></div>
<p><a class="link" href="s16.html#idx_id_59">A</a> <a class="link" href="s16.html#idx_id_60">B</a> <a class="link" href="s16.html#idx_id_61">C</a> <a class="link" href="s16.html#idx_id_62">D</a> <a class="link" href="s16.html#idx_id_63">E</a> <a class="link" href="s16.html#idx_id_64">F</a> <a class="link" href="s16.html#idx_id_65">G</a> <a class="link" href="s16.html#idx_id_66">H</a> <a class="link" href="s16.html#idx_id_67">I</a> <a class="link" href="s16.html#idx_id_68">K</a> <a class="link" href="s16.html#idx_id_69">L</a> <a class="link" href="s16.html#idx_id_70">M</a> <a class="link" href="s16.html#idx_id_71">N</a> <a class="link" href="s16.html#idx_id_72">O</a> <a class="link" href="s16.html#idx_id_73">P</a> <a class="link" href="s16.html#idx_id_74">Q</a> <a class="link" href="s16.html#idx_id_75">R</a> <a class="link" href="s16.html#idx_id_76">S</a> <a class="link" href="s16.html#idx_id_77">T</a> <a class="link" href="s16.html#idx_id_78">U</a> <a class="link" href="s16.html#idx_id_79">V</a> <a class="link" href="s16.html#idx_id_80">W</a> <a class="link" href="s16.html#idx_id_81">Z</a> </p>
<div class="variablelist"><dl>
<dt>

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@@ -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="id1392465"></a>
<a name="id1418031"></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="id1392529"></a>
<a name="id1418095"></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>
@@ -130,7 +130,7 @@
binary value).
</p>
<a name="math_toolkit.backgrounders.implementation.tolerance_of_tests"></a><h5>
<a name="id1392673"></a>
<a name="id1418239"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.tolerance_of_tests">Tolerance
of Tests</a>
</h5>
@@ -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="id1392717"></a>
<a name="id1418283"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_unsuitable_arguments">Handling
Unsuitable Arguments</a>
</h5>
@@ -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="id1392849"></a>
<a name="id1418415"></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="id1394769"></a>
<a name="id1418500"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.median_of_distributions">Median
of distributions</a>
</h5>
@@ -293,7 +293,7 @@
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="id1394892"></a>
<a name="id1418623"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
of Floating-Point Infinity</a>
</h5>
@@ -337,7 +337,7 @@
handling policies</a>.
</p>
<a name="math_toolkit.backgrounders.implementation.scale__shape_and_location"></a><h5>
<a name="id1394980"></a>
<a name="id1418711"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.scale__shape_and_location">Scale,
Shape and Location</a>
</h5>
@@ -364,7 +364,7 @@
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="id1395315"></a>
<a name="id1419046"></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>
@@ -376,7 +376,7 @@
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="id1395339"></a>
<a name="id1419070"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">Rational
Approximations Used</a>
</h5>
@@ -419,7 +419,7 @@
to the "true" minimax solution.
</p>
<a name="math_toolkit.backgrounders.implementation.representation_of_mathematical_constants"></a><h5>
<a name="id1395384"></a>
<a name="id1419115"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.representation_of_mathematical_constants">Representation
of Mathematical Constants</a>
</h5>
@@ -480,7 +480,7 @@
</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="id1395771"></a>
<a name="id1419502"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.thread_safety">Thread
safety</a>
</h5>
@@ -505,7 +505,7 @@
the right thing here at some point.
</p>
<a name="math_toolkit.backgrounders.implementation.sources_of_test_data"></a><h5>
<a name="id1395807"></a>
<a name="id1419538"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.sources_of_test_data">Sources
of Test Data</a>
</h5>
@@ -546,7 +546,7 @@
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="id1395877"></a>
<a name="id1421103"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.creating_and_managing_the_equations">Creating
and Managing the Equations</a>
</h5>
@@ -731,7 +731,7 @@ done</pre>
HTML: this needs further investigation.
</p>
<a name="math_toolkit.backgrounders.implementation.producing_graphs"></a><h5>
<a name="id1396132"></a>
<a name="id1421359"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.producing_graphs">Producing
Graphs</a>
</h5>

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@@ -27,7 +27,7 @@
<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="id1396462"></a>
<a name="id1421689"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.motivation">Motivation</a>
</h5>
<p>
@@ -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="id1396718"></a>
<a name="id1421945"></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="id1397652"></a>
<a name="id1422137"></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="id1397809"></a>
<a name="id1422294"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.choosing_the_right_parameters">Choosing
the Right Parameters</a>
</h5>
@@ -535,7 +535,7 @@
is exact, and so isn't used for the gamma function.
</p>
<a name="math_toolkit.backgrounders.lanczos.references"></a><h5>
<a name="id1398347"></a>
<a name="id1422831"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.references">References</a>
</h5>
<div class="orderedlist"><ol type="1">

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@@ -27,7 +27,7 @@
<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="id1399268"></a>
<a name="id1424367"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.general_references">General
references</a>
</h5>
@@ -85,7 +85,7 @@
Library (version 2), Walter E. Brown</a>
</p>
<a name="math_toolkit.backgrounders.refs.calculators"></a><h5>
<a name="id1399351"></a>
<a name="id1424450"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.calculators">Calculators</a>
</h5>
<p>
@@ -107,7 +107,7 @@
Binomial Probability Distribution Calculator.
</p>
<a name="math_toolkit.backgrounders.refs.other_libraries"></a><h5>
<a name="id1399395"></a>
<a name="id1424494"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.other_libraries">Other Libraries</a>
</h5>
<p>

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@@ -78,7 +78,7 @@
of binary digits. You have been warned!
</p>
<a name="zero_error"></a><a name="math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error"></a><h5>
<a name="id1396419"></a>
<a name="id1421646"></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>

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@@ -94,7 +94,7 @@
are located!</em></span>
</p>
<a name="math_toolkit.backgrounders.remez.the_remez_method"></a><h5>
<a name="id1398530"></a>
<a name="id1423015"></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="id1398681"></a>
<a name="id1423166"></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="id1398756"></a>
<a name="id1423854"></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="id1398787"></a>
<a name="id1423886"></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="id1398831"></a>
<a name="id1423930"></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="id1398912"></a>
<a name="id1424010"></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="id1399067"></a>
<a name="id1424165"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_method_checklist">Remez
Method Checklist</a>
</h5>
@@ -461,7 +461,7 @@
</li>
</ul></div>
<a name="math_toolkit.backgrounders.remez.references"></a><h5>
<a name="id1399149"></a>
<a name="id1424248"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.references">References</a>
</h5>
<p>

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@@ -28,7 +28,7 @@
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="id1163807"></a>
<a name="id1188688"></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="id1163904"></a>
<a name="id1190424"></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="id1164350"></a>
<a name="id1190869"></a>
<a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function">find_scale
function</a>
</h5>

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@@ -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="id1099116"></a>
<a name="id1125588"></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="id1099195"></a>
<a name="id1125668"></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="id1099299"></a>
<a name="id1125771"></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="id1099320"></a>
<a name="id1125792"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation">Implementation</a>
</h5>
<p>
@@ -327,7 +327,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.references"></a><h5>
<a name="id1099645"></a>
<a name="id1126118"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

View File

@@ -132,12 +132,12 @@
whose apex is away from the centre (where x = half).
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.member_functions"></a><h5>
<a name="id1102314"></a>
<a name="id1126942"></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="id1102330"></a>
<a name="id1126959"></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>
@@ -164,7 +164,7 @@
yellow in the graph above).
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors"></a><h6>
<a name="id1102446"></a>
<a name="id1127074"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors">Parameter
Accessors</a>
</h6>
@@ -188,7 +188,7 @@
</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="id1102651"></a>
<a name="id1127279"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_estimators">Parameter
Estimators</a>
</h5>
@@ -241,7 +241,7 @@
Returns the value of &#946; &#160; 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="id1103103"></a>
<a name="id1127752"></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>
@@ -263,7 +263,7 @@
Mathworld</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.applications"></a><h5>
<a name="id1103206"></a>
<a name="id1127856"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.applications">Applications</a>
</h5>
<p>
@@ -276,7 +276,7 @@
statistical inference</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.related_distributions"></a><h5>
<a name="id1103232"></a>
<a name="id1127881"></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 @@
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="id1103278"></a>
<a name="id1127928"></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 @@
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="id1103323"></a>
<a name="id1127972"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.implementation">Implementation</a>
</h5>
<p>
@@ -594,7 +594,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.references"></a><h5>
<a name="id1104654"></a>
<a name="id1128998"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.references">References</a>
</h5>
<p>

View File

@@ -161,12 +161,12 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.member_functions"></a><h5>
<a name="id1105606"></a>
<a name="id1130235"></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="id1105625"></a>
<a name="id1130254"></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>
@@ -183,7 +183,7 @@
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="id1105744"></a>
<a name="id1130373"></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>
@@ -199,7 +199,7 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.lower_bound_on_the_success_fraction"></a><h6>
<a name="id1105824"></a>
<a name="id1130453"></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>
@@ -305,7 +305,7 @@
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="id1106279"></a>
<a name="id1130908"></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>
@@ -383,7 +383,7 @@
</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="id1107914"></a>
<a name="id1131223"></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>
@@ -425,7 +425,7 @@
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="id1108116"></a>
<a name="id1131425"></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>
@@ -473,7 +473,7 @@
Worked Example.</a>
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors"></a><h5>
<a name="id1108327"></a>
<a name="id1131636"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -622,7 +622,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.dist.dist_ref.dists.binomial_dist.examples"></a><h5>
<a name="id1108882"></a>
<a name="id1133784"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.examples">Examples</a>
</h5>
<p>
@@ -630,7 +630,7 @@
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="id1108904"></a>
<a name="id1133806"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -640,7 +640,7 @@
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="id1108933"></a>
<a name="id1133835"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.implementation">Implementation</a>
</h5>
<p>
@@ -884,7 +884,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.references"></a><h5>
<a name="id1110134"></a>
<a name="id1134880"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

View File

@@ -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="id1110653"></a>
<a name="id1135398"></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="id1110802"></a>
<a name="id1135547"></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="id1110944"></a>
<a name="id1135690"></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="id1110978"></a>
<a name="id1135724"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.implementation">Implementation</a>
</h5>
<p>
@@ -273,7 +273,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.references"></a><h5>
<a name="id1111206"></a>
<a name="id1136528"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

View File

@@ -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="id1111771"></a>
<a name="id1137093"></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="id1112102"></a>
<a name="id1137424"></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="id1112777"></a>
<a name="id1137528"></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="id1112804"></a>
<a name="id1137554"></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="id1112828"></a>
<a name="id1137578"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.implementation">Implementation</a>
</h5>
<p>
@@ -379,7 +379,7 @@ independent, normally distributed random
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.references"></a><h5>
<a name="id1113118"></a>
<a name="id1137868"></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 type="disc">

View File

@@ -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="id1113552"></a>
<a name="id1138303"></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="id1113654"></a>
<a name="id1138405"></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="id1113754"></a>
<a name="id1138504"></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="id1113802"></a>
<a name="id1138552"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.implementation">Implementation</a>
</h5>
<p>
@@ -283,7 +283,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.references"></a><h5>
<a name="id1114065"></a>
<a name="id1139045"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.references">references</a>
</h5>
<div class="itemizedlist"><ul type="disc">

View File

@@ -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="id1114626"></a>
<a name="id1139606"></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="id1114784"></a>
<a name="id1139763"></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="id1114881"></a>
<a name="id1139861"></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="id1116836"></a>
<a name="id1139894"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -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="id1117593"></a>
<a name="id1140651"></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="id1117748"></a>
<a name="id1140806"></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="id1117848"></a>
<a name="id1140906"></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="id1117869"></a>
<a name="id1140927"></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="id1117896"></a>
<a name="id1140954"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -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="id1118966"></a>
<a name="id1143322"></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="id1119249"></a>
<a name="id1143468"></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="id1119347"></a>
<a name="id1143565"></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="id1119385"></a>
<a name="id1143604"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.implementation">Implementation</a>
</h5>
<p>

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@@ -146,7 +146,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/geometric_cdf_discrete.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.geometric_dist.related_distributions"></a><h5>
<a name="id1120573"></a>
<a name="id1146789"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_dist.related_distributions">Related
Distributions</a>
</h5>
@@ -206,12 +206,12 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.geometric_dist.member_functions"></a><h5>
<a name="id1120859"></a>
<a name="id1147075"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.geometric_dist.constructor"></a><h6>
<a name="id1120875"></a>
<a name="id1147092"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_dist.constructor">Constructor</a>
</h6>
<pre class="programlisting"><span class="identifier">geometric_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
@@ -226,7 +226,7 @@
<span class="number">1</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.geometric_dist.accessors"></a><h6>
<a name="id1120955"></a>
<a name="id1147171"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_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)
@@ -253,7 +253,7 @@
Binomial Distribution</a> for more discussion.
</p>
<a name="math_toolkit.dist.dist_ref.dists.geometric_dist.lower_bound_on_success_fraction_parameter__emphasis_p__emphasis_"></a><h6>
<a name="id1121063"></a>
<a name="id1147279"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_dist.lower_bound_on_success_fraction_parameter__emphasis_p__emphasis_">Lower
Bound on success_fraction Parameter <span class="emphasis"><em>p</em></span></a>
</h6>
@@ -308,7 +308,7 @@
vol. 48, no3, 605-621</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.geometric_dist.upper_bound_on_success_fraction_parameter_p"></a><h6>
<a name="id1121292"></a>
<a name="id1147508"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_dist.upper_bound_on_success_fraction_parameter_p">Upper
Bound on success_fraction Parameter p</a>
</h6>
@@ -363,7 +363,7 @@
vol. 48, no3, 605-621</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.geometric_dist.estimating_number_of_trials_to_ensure_at_least_a_certain_number_of_failures"></a><h6>
<a name="id1122432"></a>
<a name="id1147735"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_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>
@@ -415,7 +415,7 @@
probability of observing <span class="emphasis"><em>k</em></span> failures or fewer.
</p>
<a name="math_toolkit.dist.dist_ref.dists.geometric_dist.estimating_number_of_trials_to_ensure_a_maximum_number_of_failures_or_less"></a><h6>
<a name="id1122672"></a>
<a name="id1147975"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_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>
@@ -463,7 +463,7 @@
probability of observing more than k failures.
</p>
<a name="math_toolkit.dist.dist_ref.dists.geometric_dist.non_member_accessors"></a><h5>
<a name="id1122907"></a>
<a name="id1148210"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -611,7 +611,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.dist.dist_ref.dists.geometric_dist.accuracy"></a><h5>
<a name="id1123417"></a>
<a name="id1149146"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -622,7 +622,7 @@
for example to 10 decimal digits (from 16).
</p>
<a name="math_toolkit.dist.dist_ref.dists.geometric_dist.implementation"></a><h5>
<a name="id1123450"></a>
<a name="id1149179"></a>
<a class="link" href="geometric_dist.html#math_toolkit.dist.dist_ref.dists.geometric_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -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="id1125672"></a>
<a name="id1150165"></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="id1125852"></a>
<a name="id1150345"></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="id1126002"></a>
<a name="id1150495"></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="id1126236"></a>
<a name="id1150729"></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="id1126260"></a>
<a name="id1150753"></a>
<a class="link" href="hypergeometric_dist.html#math_toolkit.dist.dist_ref.dists.hypergeometric_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -198,7 +198,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/inverse_chi_squared_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist.member_functions"></a><h5>
<a name="id1127286"></a>
<a name="id1154626"></a>
<a class="link" href="inverse_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist.member_functions">Member
Functions</a>
</h5>
@@ -225,7 +225,7 @@
Returns the scale &#958; parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist.non_member_accessors"></a><h5>
<a name="id1127458"></a>
<a name="id1154799"></a>
<a class="link" href="inverse_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -255,7 +255,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist.accuracy"></a><h5>
<a name="id1127563"></a>
<a name="id1154903"></a>
<a class="link" href="inverse_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -271,7 +271,7 @@
iteration is involved, as for the estimation of degrees of freedom.
</p>
<a name="math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist.implementation"></a><h5>
<a name="id1127604"></a>
<a name="id1154944"></a>
<a class="link" href="inverse_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist.implementation">Implementation</a>
</h5>
<p>
@@ -452,7 +452,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist.references"></a><h5>
<a name="id1129346"></a>
<a name="id1155271"></a>
<a class="link" href="inverse_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.inverse_chi_squared_dist.references">References</a>
</h5>
<div class="orderedlist"><ol type="1">

View File

@@ -130,7 +130,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/inverse_gamma_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.inverse_gamma_dist.member_functions"></a><h5>
<a name="id1129926"></a>
<a name="id1155851"></a>
<a class="link" href="inverse_gamma_dist.html#math_toolkit.dist.dist_ref.dists.inverse_gamma_dist.member_functions">Member
Functions</a>
</h5>
@@ -154,7 +154,7 @@
Returns the &#946; scale parameter of this inverse gamma distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.inverse_gamma_dist.non_member_accessors"></a><h5>
<a name="id1130064"></a>
<a name="id1155989"></a>
<a class="link" href="inverse_gamma_dist.html#math_toolkit.dist.dist_ref.dists.inverse_gamma_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -184,7 +184,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.inverse_gamma_dist.accuracy"></a><h5>
<a name="id1130171"></a>
<a name="id1156096"></a>
<a class="link" href="inverse_gamma_dist.html#math_toolkit.dist.dist_ref.dists.inverse_gamma_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -198,7 +198,7 @@
&gt;14 decimal digits accuracy for 64-bit double.
</p>
<a name="math_toolkit.dist.dist_ref.dists.inverse_gamma_dist.implementation"></a><h5>
<a name="id1130210"></a>
<a name="id1156135"></a>
<a class="link" href="inverse_gamma_dist.html#math_toolkit.dist.dist_ref.dists.inverse_gamma_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -146,7 +146,7 @@
the __wald_distrib (where mean &#956; is unity) is also provided.
</p>
<a name="math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist.member_functions"></a><h5>
<a name="id1131137"></a>
<a name="id1158039"></a>
<a class="link" href="inverse_gaussian_dist.html#math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist.member_functions">Member
Functions</a>
</h5>
@@ -171,7 +171,7 @@
Returns the scale &#955; parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist.non_member_accessors"></a><h5>
<a name="id1131279"></a>
<a name="id1158181"></a>
<a class="link" href="inverse_gaussian_dist.html#math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -201,7 +201,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist.accuracy"></a><h5>
<a name="id1131386"></a>
<a name="id1158288"></a>
<a class="link" href="inverse_gaussian_dist.html#math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -212,7 +212,7 @@
to a few epsilon, &gt;14 decimal digits accuracy for 64-bit double.
</p>
<a name="math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist.implementation"></a><h5>
<a name="id1131408"></a>
<a name="id1158310"></a>
<a class="link" href="inverse_gaussian_dist.html#math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist.implementation">Implementation</a>
</h5>
<p>
@@ -390,7 +390,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist.references"></a><h5>
<a name="id1132570"></a>
<a name="id1158603"></a>
<a class="link" href="inverse_gaussian_dist.html#math_toolkit.dist.dist_ref.dists.inverse_gaussian_dist.references">References</a>
</h5>
<div class="orderedlist"><ol type="1">

View File

@@ -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="id1133158"></a>
<a name="id1159191"></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="id1133321"></a>
<a name="id1159354"></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="id1133418"></a>
<a name="id1159729"></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="id1133438"></a>
<a name="id1159748"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.implementation">Implementation</a>
</h5>
<p>
@@ -329,7 +329,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.laplace_dist.references"></a><h5>
<a name="id1133754"></a>
<a name="id1160065"></a>
<a class="link" href="laplace_dist.html#math_toolkit.dist.dist_ref.dists.laplace_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

View File

@@ -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="id1134244"></a>
<a name="id1160554"></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="id1134410"></a>
<a name="id1160720"></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="id1134786"></a>
<a name="id1160869"></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="id1134843"></a>
<a name="id1160925"></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">

View File

@@ -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="id1135590"></a>
<a name="id1161673"></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="id1135751"></a>
<a name="id1161833"></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="id1135851"></a>
<a name="id1163108"></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="id1135877"></a>
<a name="id1163134"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -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="id1142477"></a>
<a name="id1168799"></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="id1142660"></a>
<a name="id1168982"></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>
@@ -156,7 +156,7 @@ 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="id1142770"></a>
<a name="id1169091"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -299,7 +299,7 @@ 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="id1143005"></a>
<a name="id1169327"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.tests">Tests</a>
</h5>
<p>
@@ -311,7 +311,7 @@ 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="id1143029"></a>
<a name="id1169351"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -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="id1144315"></a>
<a name="id1170368"></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="id1145214"></a>
<a name="id1172099"></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="id1145314"></a>
<a name="id1172199"></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="id1145340"></a>
<a name="id1172225"></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>
@@ -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="id1145587"></a>
<a name="id1172472"></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="id1145607"></a>
<a name="id1172492"></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>

View File

@@ -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="id1148527"></a>
<a name="id1173345"></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="id1148713"></a>
<a name="id1173531"></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="id1148813"></a>
<a name="id1173630"></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="id1148836"></a>
<a name="id1173653"></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="id1148860"></a>
<a name="id1173677"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -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="id1149732"></a>
<a name="id1175868"></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="id1149870"></a>
<a name="id1176006"></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="id1149970"></a>
<a name="id1176106"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -255,7 +255,7 @@
epsilon.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.tests"></a><h5>
<a name="id1150163"></a>
<a name="id1176299"></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="id1150182"></a>
<a name="id1176318"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -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="id1138183"></a>
<a name="id1164279"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.related_distributions">Related
Distributions</a>
</h5>
@@ -195,12 +195,12 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.member_functions"></a><h5>
<a name="id1138292"></a>
<a name="id1164388"></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="id1138306"></a>
<a name="id1164403"></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>
@@ -216,7 +216,7 @@
<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="id1138414"></a>
<a name="id1164511"></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 @@
Distribution</a> for more discussion.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.lower_bound_on_parameter_p"></a><h6>
<a name="id1138508"></a>
<a name="id1164604"></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="id1138774"></a>
<a name="id1164871"></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="id1139037"></a>
<a name="id1165134"></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="id1139262"></a>
<a name="id1165602"></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="id1139493"></a>
<a name="id1165834"></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>
@@ -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="id1140007"></a>
<a name="id1166348"></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="id1140033"></a>
<a name="id1166374"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -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="id1150902"></a>
<a name="id1177031"></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="id1151099"></a>
<a name="id1177228"></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="id1151196"></a>
<a name="id1177325"></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="id1151220"></a>
<a name="id1177349"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -86,12 +86,12 @@
<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="id1152003"></a>
<a name="id1178190"></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="id1152021"></a>
<a name="id1178208"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.member_functions">Member
Functions</a>
</h5>
@@ -117,7 +117,7 @@
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="id1152192"></a>
<a name="id1178378"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -137,7 +137,7 @@
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="id1152291"></a>
<a name="id1178478"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.accuracy">Accuracy</a>
</h5>
<p>
@@ -150,7 +150,7 @@
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="id1152329"></a>
<a name="id1178515"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.implementation">Implementation</a>
</h5>
<p>
@@ -318,7 +318,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.pareto.references"></a><h5>
<a name="id1152839"></a>
<a name="id1178820"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

View File

@@ -116,7 +116,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions"></a><h5>
<a name="id1153369"></a>
<a name="id1179350"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions">Member
Functions</a>
</h5>
@@ -131,7 +131,7 @@
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="id1153459"></a>
<a name="id1179440"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -151,7 +151,7 @@
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="id1153556"></a>
<a name="id1179538"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -165,7 +165,7 @@
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="id1153585"></a>
<a name="id1179566"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -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="id1154308"></a>
<a name="id1180720"></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="id1154359"></a>
<a name="id1180772"></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="id1154464"></a>
<a name="id1180876"></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="id1154563"></a>
<a name="id1180976"></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="id1154597"></a>
<a name="id1181009"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.implementation">Implementation</a>
</h5>
<p>
@@ -320,7 +320,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.references"></a><h5>
<a name="id1156794"></a>
<a name="id1181342"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

View File

@@ -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="id1157375"></a>
<a name="id1181923"></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="id1157666"></a>
<a name="id1182214"></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="id1157766"></a>
<a name="id1183407"></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="id1157792"></a>
<a name="id1183433"></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="id1157824"></a>
<a name="id1183464"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.implementation">Implementation</a>
</h5>
<p>

View File

@@ -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="id1159217"></a>
<a name="id1184490"></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="id1159435"></a>
<a name="id1184709"></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="id1159535"></a>
<a name="id1184808"></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="id1159557"></a>
<a name="id1184830"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.implementation">Implementation</a>
</h5>
<p>
@@ -378,7 +378,7 @@
Calculate and plot probability distributions</a>
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.references"></a><h5>
<a name="id1159889"></a>
<a name="id1185162"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

View File

@@ -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="id1160573"></a>
<a name="id1186828"></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="id1160740"></a>
<a name="id1186995"></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="id1160844"></a>
<a name="id1187099"></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="id1160863"></a>
<a name="id1187118"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.implementation">Implementation</a>
</h5>
<p>
@@ -337,7 +337,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.references"></a><h5>
<a name="id1161139"></a>
<a name="id1187394"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

View File

@@ -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_dist.related_distributions"></a><h5>
<a name="id1163073"></a>
<a name="id1187954"></a>
<a class="link" href="weibull_dist.html#math_toolkit.dist.dist_ref.dists.weibull_dist.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_dist.member_functions"></a><h5>
<a name="id1163112"></a>
<a name="id1187993"></a>
<a class="link" href="weibull_dist.html#math_toolkit.dist.dist_ref.dists.weibull_dist.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_dist.non_member_accessors"></a><h5>
<a name="id1163270"></a>
<a name="id1188150"></a>
<a class="link" href="weibull_dist.html#math_toolkit.dist.dist_ref.dists.weibull_dist.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_dist.accuracy"></a><h5>
<a name="id1163367"></a>
<a name="id1188248"></a>
<a class="link" href="weibull_dist.html#math_toolkit.dist.dist_ref.dists.weibull_dist.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_dist.implementation"></a><h5>
<a name="id1163410"></a>
<a name="id1188291"></a>
<a class="link" href="weibull_dist.html#math_toolkit.dist.dist_ref.dists.weibull_dist.implementation">Implementation</a>
</h5>
<p>
@@ -337,7 +337,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.weibull_dist.references"></a><h5>
<a name="id1163740"></a>
<a name="id1188621"></a>
<a class="link" href="weibull_dist.html#math_toolkit.dist.dist_ref.dists.weibull_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">

View File

@@ -37,7 +37,7 @@
the function you want if you already know its name.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__function_index____function_index"></a><h5>
<a name="id1093937"></a>
<a name="id1118706"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__function_index____function_index"><a name="function_index"></a> Function Index</a>
</h5>
<div class="itemizedlist"><ul type="disc">
@@ -94,7 +94,7 @@
</li>
</ul></div>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__concept_index____conceptual_index"></a><h5>
<a name="id1094160"></a>
<a name="id1118929"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__concept_index____conceptual_index"><a name="concept_index"></a> Conceptual Index</a>
</h5>
<div class="itemizedlist"><ul type="disc">
@@ -180,7 +180,7 @@
</li>
</ul></div>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_cdf____cumulative_distribution_function"></a><h5>
<a name="id1094857"></a>
<a name="id1119260"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_cdf____cumulative_distribution_function"><a name="math.dist.cdf"></a> Cumulative Distribution 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>
@@ -203,7 +203,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cdf.png" alt="cdf"></span>
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_ccdf____complement_of_the_cumulative_distribution_function"></a><h5>
<a name="id1095024"></a>
<a name="id1119427"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_ccdf____complement_of_the_cumulative_distribution_function"><a name="math.dist.ccdf"></a> Complement of the Cumulative Distribution Function</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Distribution</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">&gt;</span>
@@ -243,7 +243,7 @@
complement is useful and when it should be used.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_hazard____hazard_function"></a><h5>
<a name="id1095311"></a>
<a name="id1119714"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_hazard____hazard_function"><a name="math.dist.hazard"></a> 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>
@@ -271,7 +271,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_chf____cumulative_hazard_function"></a><h5>
<a name="id1095490"></a>
<a name="id1119893"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_chf____cumulative_hazard_function"><a name="math.dist.chf"></a> Cumulative 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>
@@ -298,7 +298,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_mean____mean"></a><h5>
<a name="id1095669"></a>
<a name="id1120072"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_mean____mean"><a name="math.dist.mean"></a> 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>
@@ -313,7 +313,7 @@
distribution).
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_median____median"></a><h5>
<a name="id1095785"></a>
<a name="id1120188"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_median____median"><a name="math.dist.median"></a> 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>
@@ -323,7 +323,7 @@
Returns the median of the distribution <span class="emphasis"><em>dist</em></span>.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_mode____mode"></a><h5>
<a name="id1095893"></a>
<a name="id1120626"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_mode____mode"><a name="math.dist.mode"></a> 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>
@@ -337,7 +337,7 @@
if the distribution does not have a defined mode.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_pdf____probability_density_function"></a><h5>
<a name="id1096005"></a>
<a name="id1120738"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_pdf____probability_density_function"><a name="math.dist.pdf"></a> Probability Density 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>
@@ -365,7 +365,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/pdf.png" alt="pdf"></span>
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_range____range"></a><h5>
<a name="id1096170"></a>
<a name="id1120903"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_range____range"><a name="math.dist.range"></a> 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>
@@ -375,7 +375,7 @@
Returns the valid range of the random variable over distribution <span class="emphasis"><em>dist</em></span>.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_quantile____quantile"></a><h5>
<a name="id1096305"></a>
<a name="id1121038"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_quantile____quantile"><a name="math.dist.quantile"></a> 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>
@@ -405,7 +405,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/quantile.png" alt="quantile"></span>
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_quantile_c____quantile_from_the_complement_of_the_probability_"></a><h5>
<a name="id1096530"></a>
<a name="id1121263"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_quantile_c____quantile_from_the_complement_of_the_probability_"><a name="math.dist.quantile_c"></a> Quantile from the complement of the probability.</a>
</h5>
<p>
@@ -450,7 +450,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/survival_inv.png" alt="survival_inv"></span>
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_sd____standard_deviation"></a><h5>
<a name="id1096870"></a>
<a name="id1121603"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_sd____standard_deviation"><a name="math.dist.sd"></a> Standard Deviation</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>
@@ -464,7 +464,7 @@
if the distribution does not have a defined standard deviation.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_support____support"></a><h5>
<a name="id1097686"></a>
<a name="id1121722"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_support____support"><a name="math.dist.support"></a> 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>
@@ -481,7 +481,7 @@
where the pdf is zero, and the cdf zero or unity.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_variance____variance"></a><h5>
<a name="id1097829"></a>
<a name="id1121865"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_variance____variance"><a name="math.dist.variance"></a> 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>
@@ -495,7 +495,7 @@
if the distribution does not have a defined variance.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_skewness____skewness"></a><h5>
<a name="id1097946"></a>
<a name="id1121982"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_skewness____skewness"><a name="math.dist.skewness"></a> 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>
@@ -509,7 +509,7 @@
if the distribution does not have a defined skewness.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_kurtosis____kurtosis"></a><h5>
<a name="id1098064"></a>
<a name="id1122100"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_kurtosis____kurtosis"><a name="math.dist.kurtosis"></a> 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>
@@ -551,7 +551,7 @@
'Proper' kurtosis can have a value from zero to + infinity.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_kurtosis_excess____kurtosis_excess"></a><h5>
<a name="id1098270"></a>
<a name="id1122306"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_kurtosis_excess____kurtosis_excess"><a name="math.dist.kurtosis_excess"></a> Kurtosis excess</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>
@@ -585,7 +585,7 @@
The kurtosis excess of a normal distribution is zero.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__cdfpq____p_and_q"></a><h5>
<a name="id1098457"></a>
<a name="id1122493"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__cdfpq____p_and_q"><a name="cdfPQ"></a> P and Q</a>
</h5>
<p>
@@ -595,7 +595,7 @@
returned by these functions.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__percent____percent_point_function_or_percentile"></a><h5>
<a name="id1098489"></a>
<a name="id1122525"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__percent____percent_point_function_or_percentile"><a name="percent"></a> Percent Point Function or Percentile</a>
</h5>
<p>
@@ -603,7 +603,7 @@
the <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__cdf_inv____inverse_cdf_function_"></a><h5>
<a name="id1098513"></a>
<a name="id1122549"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__cdf_inv____inverse_cdf_function_"><a name="cdf_inv"></a> Inverse CDF Function.</a>
</h5>
<p>
@@ -611,14 +611,14 @@
<a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__survival_inv____inverse_survival_function_"></a><h5>
<a name="id1098537"></a>
<a name="id1122573"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__survival_inv____inverse_survival_function_"><a name="survival_inv"></a> Inverse Survival Function.</a>
</h5>
<p>
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="math_toolkit.dist.dist_ref.nmp._anchor_id__pmf____probability_mass_function"></a><h5>
<a name="id1098561"></a>
<a name="id1122597"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__pmf____probability_mass_function"><a name="pmf"></a> Probability Mass Function</a>
</h5>
<p>
@@ -631,7 +631,7 @@
applies to continuous distributions.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__lower_critical____lower_critical_value_"></a><h5>
<a name="id1098594"></a>
<a name="id1122630"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__lower_critical____lower_critical_value_"><a name="lower_critical"></a> Lower Critical Value.</a>
</h5>
<p>
@@ -640,7 +640,7 @@
the <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__upper_critical____upper_critical_value_"></a><h5>
<a name="id1098618"></a>
<a name="id1122654"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__upper_critical____upper_critical_value_"><a name="upper_critical"></a> Upper Critical Value.</a>
</h5>
<p>
@@ -650,7 +650,7 @@
complement of the probability</a>.
</p>
<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__survival____survival_function"></a><h5>
<a name="id1098642"></a>
<a name="id1122678"></a>
<a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__survival____survival_function"><a name="survival"></a> Survival Function</a>
</h5>
<p>

View File

@@ -27,7 +27,7 @@
<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="id1164839"></a>
<a name="id1191359"></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="id1166301"></a>
<a name="id1191523"></a>
<a class="link" href="future.html#math_toolkit.dist.future.an__quot_any_distribution_quot__class">An
"any_distribution" class</a>
</h5>
@@ -91,7 +91,7 @@
investigation.
</p>
<a name="math_toolkit.dist.future.higher_level_hypothesis_tests"></a><h5>
<a name="id1166522"></a>
<a name="id1191744"></a>
<a class="link" href="future.html#math_toolkit.dist.future.higher_level_hypothesis_tests">Higher
Level Hypothesis Tests</a>
</h5>
@@ -111,7 +111,7 @@
<span class="emphasis"><em>expected_mean</em></span>.
</p>
<a name="math_toolkit.dist.future.integration_with_statistical_accumulators"></a><h5>
<a name="id1166683"></a>
<a name="id1191905"></a>
<a class="link" href="future.html#math_toolkit.dist.future.integration_with_statistical_accumulators">Integration
With Statistical Accumulators</a>
</h5>

View File

@@ -379,7 +379,7 @@ Probability of getting between 1 and 8 answers right by guessing is 0.9825
Probability of getting between 4 and 4 answers right by guessing is 0.2252
</pre>
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments"></a><h5>
<a name="id1039316"></a>
<a name="id1063851"></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>
@@ -406,7 +406,7 @@ Mode (the most frequent) is 4
Skewness is 0.2887
</pre>
<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles"></a><h5>
<a name="id1039688"></a>
<a name="id1064223"></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>

View File

@@ -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="id1021784"></a>
<a name="id1048556"></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>

View File

@@ -246,7 +246,7 @@ error C3861: 'mybetad0': identifier not found
<pre class="programlisting"><span class="identifier">negative_binomial_distribution</span><span class="special">&lt;</span><span class="identifier">MyFPType</span><span class="special">&gt;</span> <span class="identifier">mydist6</span><span class="special">(</span><span class="number">8</span><span class="special">,</span> <span class="number">1</span><span class="special">);</span> <span class="comment">// Integer arguments -&gt; MyFPType.
</span></pre>
<a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_"></a><h6>
<a name="id1010831"></a>
<a name="id1036922"></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>

View File

@@ -138,7 +138,7 @@ Normal distribution with mean = 0, standard deviation 1, has fraction &gt; -2, p
Normal distribution with mean = 1.09023 has fraction &gt; -2, p = 0.999
</pre>
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location"></a><h5>
<a name="id1080486"></a>
<a name="id1105312"></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>

View File

@@ -57,7 +57,7 @@
<p>
</p>
<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><h5>
<a name="id1087760"></a>
<a name="id1112452"></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>
@@ -193,7 +193,7 @@
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution"></a><h5>
<a name="id1089094"></a>
<a name="id1113633"></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>
@@ -305,7 +305,7 @@
of estimating these intervals.
</p>
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation"></a><h5>
<a name="id1089741"></a>
<a name="id1114279"></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>

View File

@@ -137,7 +137,7 @@ Normal distribution with mean = 0 has fraction &gt; -2, p = 0.97725
Normal distribution with mean = 0 has fraction &gt; -2, p = 0.999
</pre>
<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled"></a><h5>
<a name="id1083362"></a>
<a name="id1109760"></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>

View File

@@ -94,7 +94,7 @@
error message instead of an abrupt (and silent) program abort.
</p>
<a name="math_toolkit.dist.stat_tut.weg.geometric_eg.throwing_a_dice"></a><h6>
<a name="id1047363"></a>
<a name="id1071973"></a>
<a class="link" href="geometric_eg.html#math_toolkit.dist.stat_tut.weg.geometric_eg.throwing_a_dice">Throwing
a dice</a>
</h6>
@@ -288,7 +288,7 @@
replicated in C++ if desired.
</p>
<a name="math_toolkit.dist.stat_tut.weg.geometric_eg.surveying_customers_to_find_one_with_a_faulty_product"></a><h6>
<a name="id1049503"></a>
<a name="id1073664"></a>
<a class="link" href="geometric_eg.html#math_toolkit.dist.stat_tut.weg.geometric_eg.surveying_customers_to_find_one_with_a_faulty_product">Surveying
customers to find one with a faulty product</a>
</h6>
@@ -333,7 +333,7 @@
<p>
</p>
<a name="math_toolkit.dist.stat_tut.weg.geometric_eg.basket_ball_shooters"></a><h6>
<a name="id1050051"></a>
<a name="id1074383"></a>
<a class="link" href="geometric_eg.html#math_toolkit.dist.stat_tut.weg.geometric_eg.basket_ball_shooters">Basket
Ball Shooters</a>
</h6>
@@ -393,7 +393,7 @@
the best shooters, compared to the 0.03 of the mediocre.
</p>
<a name="math_toolkit.dist.stat_tut.weg.geometric_eg.estimating_failures"></a><h6>
<a name="id1050446"></a>
<a name="id1074778"></a>
<a class="link" href="geometric_eg.html#math_toolkit.dist.stat_tut.weg.geometric_eg.estimating_failures">Estimating
failures</a>
</h6>

View File

@@ -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="id1065319"></a>
<a name="id1089796"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.traditional_tables">Traditional
Tables</a>
</h5>
@@ -230,7 +230,7 @@
the two tails is 0.025 + 0.025 = 0.05,
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.standard_deviations_either_side_of_the_mean"></a><h5>
<a name="id1069447"></a>
<a name="id1093788"></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>
@@ -280,12 +280,12 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
estimated the standard deviation from only a few measurements.
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.some_simple_examples"></a><h5>
<a name="id1069968"></a>
<a name="id1094308"></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="id1069981"></a>
<a name="id1094322"></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>
@@ -351,7 +351,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
</p></td></tr>
</table></div>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.how_many_onions_"></a><h5>
<a name="id1070650"></a>
<a name="id1094829"></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>
@@ -396,7 +396,7 @@ 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="id1071065"></a>
<a name="id1095244"></a>
<a class="link" href="normal_misc.html#math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.packing_beef">Packing
beef</a>
</h5>
@@ -565,7 +565,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
a few measurements.
</p>
<a name="math_toolkit.dist.stat_tut.weg.normal_example.normal_misc.length_of_bolts"></a><h5>
<a name="id1074365"></a>
<a name="id1097598"></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>

View File

@@ -27,7 +27,7 @@
<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="id1277115"></a>
<a name="id1301593"></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="id1279387"></a>
<a name="id1304411"></a>
<a class="link" href="c99.html#math_toolkit.extern_c.c99.quick_reference">Quick Reference</a>
</h5>
<p>

View File

@@ -258,7 +258,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.extern_c.tr1.usage_recomendations"></a><h5>
<a name="id1267467"></a>
<a name="id1290975"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.usage_recomendations">Usage Recomendations</a>
</h5>
<p>
@@ -295,7 +295,7 @@
this can be a big win.
</p>
<a name="math_toolkit.extern_c.tr1.supported_c99_functions"></a><h5>
<a name="id1267669"></a>
<a name="id1291177"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.supported_c99_functions">Supported
C99 Functions</a>
</h5>
@@ -391,7 +391,7 @@
<span class="special">}}}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.extern_c.tr1.supported_tr1_functions"></a><h5>
<a name="id1270362"></a>
<a name="id1295522"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.supported_tr1_functions">Supported
TR1 Functions</a>
</h5>
@@ -520,7 +520,7 @@
type calculation rules</em></span></a>.
</p>
<a name="math_toolkit.extern_c.tr1.currently_unsupported_c99_functions"></a><h5>
<a name="id1273375"></a>
<a name="id1298399"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.currently_unsupported_c99_functions">Currently
Unsupported C99 Functions</a>
</h5>
@@ -585,7 +585,7 @@
<span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">scalbnl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">ex</span><span class="special">);</span>
</pre>
<a name="math_toolkit.extern_c.tr1.currently_unsupported_tr1_functions"></a><h5>
<a name="id1276686"></a>
<a name="id1301164"></a>
<a class="link" href="tr1.html#math_toolkit.extern_c.tr1.currently_unsupported_tr1_functions">Currently
Unsupported TR1 Functions</a>
</h5>

View File

@@ -28,7 +28,7 @@
Reference</a>
</h3></div></div></div>
<a name="math_toolkit.extern_c.tr1_ref.supported_tr1_functions"></a><h5>
<a name="id1283502"></a>
<a name="id1308390"></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="id1288676"></a>
<a name="id1312608"></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="id1292518"></a>
<a name="id1317542"></a>
<a class="link" href="tr1_ref.html#math_toolkit.extern_c.tr1_ref.currently_unsupported_tr1_functions">Currently
Unsupported TR1 Functions</a>
</h5>

View File

@@ -28,7 +28,7 @@
a Boost.Math Library, and its Examples and Tests</a>
</h3></div></div></div>
<a name="math_toolkit.main_overview.building.building_a_library__shared__dynamic__dll_or_static__lib_"></a><h5>
<a name="id992692"></a>
<a name="id1017746"></a>
<a class="link" href="building.html#math_toolkit.main_overview.building.building_a_library__shared__dynamic__dll_or_static__lib_">Building
a Library (shared, dynamic .dll or static .lib)</a>
</h5>
@@ -100,7 +100,7 @@
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="id993144"></a>
<a name="id1018951"></a>
<a class="link" href="building.html#math_toolkit.main_overview.building.building_the_examples">Building
the Examples</a>
</h5>
@@ -111,7 +111,7 @@
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="id993186"></a>
<a name="id1018993"></a>
<a class="link" href="building.html#math_toolkit.main_overview.building.building_the_tests">Building
the Tests</a>
</h5>

View File

@@ -28,7 +28,7 @@
File Structure</a>
</h3></div></div></div>
<a name="math_toolkit.main_overview.directories.boost_math"></a><h5>
<a name="id983635"></a>
<a name="id1004511"></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="id983784"></a>
<a name="id1004660"></a>
<a class="link" href="directories.html#math_toolkit.main_overview.directories.boost_libs">boost/libs</a>
</h5>
<div class="variablelist">

View File

@@ -27,7 +27,7 @@
<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="id984748"></a>
<a name="id1010627"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.quick_reference">Quick
Reference</a>
</h5>
@@ -747,7 +747,7 @@
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">overflow_error</span><span class="special">;</span></code>.
</p>
<a name="math_toolkit.main_overview.error_handling.rationale"></a><h5>
<a name="id986768"></a>
<a name="id1012642"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.rationale">Rationale</a>
</h5>
<p>
@@ -766,7 +766,7 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.error_handling.finding_more_information"></a><h5>
<a name="id986813"></a>
<a name="id1012688"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling.finding_more_information">Finding
More Information</a>
</h5>
@@ -788,7 +788,7 @@
The various kind of errors are described in more detail below.
</p>
<a name="math_toolkit.main_overview.error_handling._anchor_id__domain_error____domain_errors"></a><h5>
<a name="id986863"></a>
<a name="id1012737"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling._anchor_id__domain_error____domain_errors"><a name="domain_error"></a> Domain Errors</a>
</h5>
<p>
@@ -859,7 +859,7 @@
for more details.
</p>
<a name="math_toolkit.main_overview.error_handling._anchor_id__pole_error____evaluation_at_a_pole"></a><h5>
<a name="id987117"></a>
<a name="id1012991"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling._anchor_id__pole_error____evaluation_at_a_pole"><a name="pole_error"></a> Evaluation at a pole</a>
</h5>
<p>
@@ -897,7 +897,7 @@
for more details.
</p>
<a name="math_toolkit.main_overview.error_handling._anchor_id__overflow_error____numeric_overflow"></a><h5>
<a name="id987319"></a>
<a name="id1013193"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling._anchor_id__overflow_error____numeric_overflow"><a name="overflow_error"></a> Numeric Overflow</a>
</h5>
<p>
@@ -921,7 +921,7 @@
doesn't support infinities, the maximum value for the type is returned.
</p>
<a name="math_toolkit.main_overview.error_handling._anchor_id__underflow_error____numeric_underflow"></a><h5>
<a name="id987500"></a>
<a name="id1013374"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling._anchor_id__underflow_error____numeric_underflow"><a name="underflow_error"></a> Numeric Underflow</a>
</h5>
<p>
@@ -943,7 +943,7 @@
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="math_toolkit.main_overview.error_handling._anchor_id__denorm_error____denormalisation_errors"></a><h5>
<a name="id989279"></a>
<a name="id1013514"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling._anchor_id__denorm_error____denormalisation_errors"><a name="denorm_error"></a> Denormalisation Errors</a>
</h5>
<p>
@@ -965,7 +965,7 @@
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="math_toolkit.main_overview.error_handling._anchor_id__evaluation_error____evaluation_errors"></a><h5>
<a name="id989435"></a>
<a name="id1013670"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling._anchor_id__evaluation_error____evaluation_errors"><a name="evaluation_error"></a> Evaluation Errors</a>
</h5>
<p>
@@ -1001,7 +1001,7 @@
for more details.
</p>
<a name="math_toolkit.main_overview.error_handling._anchor_id__indeterminate_result_error____indeterminate_result_errors"></a><h5>
<a name="id989645"></a>
<a name="id1013880"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling._anchor_id__indeterminate_result_error____indeterminate_result_errors"><a name="indeterminate_result_error"></a> Indeterminate Result Errors</a>
</h5>
<p>
@@ -1029,7 +1029,7 @@
the result of 0<sup>0</sup> is 1, even though the result is actually mathematically indeterminate.
</p>
<a name="math_toolkit.main_overview.error_handling._anchor_id__rounding_error____rounding_errors"></a><h5>
<a name="id989805"></a>
<a name="id1014040"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling._anchor_id__rounding_error____rounding_errors"><a name="rounding_error"></a> Rounding Errors</a>
</h5>
<p>
@@ -1068,7 +1068,7 @@
for more details.
</p>
<a name="math_toolkit.main_overview.error_handling._anchor_id__checked_narrowing_cast____errors_from_typecasts"></a><h5>
<a name="id990029"></a>
<a name="id1014264"></a>
<a class="link" href="error_handling.html#math_toolkit.main_overview.error_handling._anchor_id__checked_narrowing_cast____errors_from_typecasts"><a name="checked_narrowing_cast"></a> Errors from typecasts</a>
</h5>
<p>

View File

@@ -28,7 +28,7 @@
New</a>
</h3></div></div></div>
<a name="math_toolkit.main_overview.history1.boost_1_46_0"></a><h5>
<a name="id993419"></a>
<a name="id1019226"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_46_0">Boost-1.46.0</a>
</h5>
<div class="itemizedlist"><ul type="disc">
@@ -43,7 +43,7 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.history1.boost_1_45_0"></a><h5>
<a name="id993458"></a>
<a name="id1019264"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_45_0">Boost-1.45.0</a>
</h5>
<div class="itemizedlist"><ul type="disc">
@@ -60,7 +60,7 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.history1.boost_1_44_0"></a><h5>
<a name="id993496"></a>
<a name="id1019302"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_44_0">Boost-1.44.0</a>
</h5>
<div class="itemizedlist"><ul type="disc">
@@ -74,7 +74,7 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.history1.boost_1_41_0"></a><h5>
<a name="id993527"></a>
<a name="id1019334"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_41_0">Boost-1.41.0</a>
</h5>
<div class="itemizedlist"><ul type="disc"><li>
@@ -82,7 +82,7 @@
and its inverse.
</li></ul></div>
<a name="math_toolkit.main_overview.history1.boost_1_40_0"></a><h5>
<a name="id993551"></a>
<a name="id1019358"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_40_0">Boost-1.40.0</a>
</h5>
<div class="itemizedlist"><ul type="disc">
@@ -119,7 +119,7 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.history1.boost_1_38_0"></a><h5>
<a name="id993640"></a>
<a name="id1019446"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_38_0">Boost-1.38.0</a>
</h5>
<div class="itemizedlist"><ul type="disc">
@@ -131,14 +131,14 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.history1.boost_1_37_0"></a><h5>
<a name="id993676"></a>
<a name="id1019482"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_37_0">Boost-1.37.0</a>
</h5>
<div class="itemizedlist"><ul type="disc"><li>
Improved accuracy and testing of the inverse hypergeometric functions.
</li></ul></div>
<a name="math_toolkit.main_overview.history1.boost_1_36_0"></a><h5>
<a name="id993700"></a>
<a name="id1019506"></a>
<a class="link" href="history1.html#math_toolkit.main_overview.history1.boost_1_36_0">Boost-1.36.0</a>
</h5>
<div class="itemizedlist"><ul type="disc">
@@ -171,7 +171,7 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.history1.boost_1_35_0__post_review_first_official_release"></a><h5>
<a name="id993782"></a>
<a name="id1019588"></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>
@@ -203,7 +203,7 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.history1.milestone_4__second_review_candidate__1st_march_2007_"></a><h5>
<a name="id993866"></a>
<a name="id1019672"></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>
@@ -217,7 +217,7 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.history1.milestone_3__first_review_candidate__31st_dec_2006_"></a><h5>
<a name="id993897"></a>
<a name="id1019703"></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>
@@ -245,7 +245,7 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.history1.milestone_2__released_september_10th_2006"></a><h5>
<a name="id993957"></a>
<a name="id1019763"></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>
@@ -281,7 +281,7 @@
</li>
</ul></div>
<a name="math_toolkit.main_overview.history1.milestone_1__released_march_31st_2006"></a><h5>
<a name="id994577"></a>
<a name="id1019845"></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>

View File

@@ -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="id983198"></a>
<a name="id1004074"></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="id983282"></a>
<a name="id1004158"></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="id983350"></a>
<a name="id1004225"></a>
<a class="link" href="intro.html#math_toolkit.main_overview.intro.implementation_toolkit">Implementation
Toolkit</a>
</h5>

View File

@@ -31,7 +31,7 @@
as handy shortcuts for common navigation tasks.
</p>
<a name="math_toolkit.main_overview.navigation.shortcuts"></a><h6>
<a name="id983450"></a>
<a name="id1004326"></a>
<a class="link" href="navigation.html#math_toolkit.main_overview.navigation.shortcuts">Shortcuts</a>
</h6>
<div class="blockquote"><blockquote class="blockquote">

View File

@@ -259,7 +259,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.main_overview.tr1.usage_recomendations"></a><h5>
<a name="id995047"></a>
<a name="id1020315"></a>
<a class="link" href="tr1.html#math_toolkit.main_overview.tr1.usage_recomendations">Usage
Recomendations</a>
</h5>
@@ -297,7 +297,7 @@
this can be a big win.
</p>
<a name="math_toolkit.main_overview.tr1.supported_c99_functions"></a><h5>
<a name="id995250"></a>
<a name="id1020518"></a>
<a class="link" href="tr1.html#math_toolkit.main_overview.tr1.supported_c99_functions">Supported
C99 Functions</a>
</h5>
@@ -393,7 +393,7 @@
<span class="special">}}}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.main_overview.tr1.supported_tr1_functions"></a><h5>
<a name="id999132"></a>
<a name="id1023485"></a>
<a class="link" href="tr1.html#math_toolkit.main_overview.tr1.supported_tr1_functions">Supported
TR1 Functions</a>
</h5>
@@ -522,7 +522,7 @@
type calculation rules</em></span></a>.
</p>
<a name="math_toolkit.main_overview.tr1.currently_unsupported_c99_functions"></a><h5>
<a name="id1002006"></a>
<a name="id1027452"></a>
<a class="link" href="tr1.html#math_toolkit.main_overview.tr1.currently_unsupported_c99_functions">Currently
Unsupported C99 Functions</a>
</h5>
@@ -587,7 +587,7 @@
<span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">scalbnl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">ex</span><span class="special">);</span>
</pre>
<a name="math_toolkit.main_overview.tr1.currently_unsupported_tr1_functions"></a><h5>
<a name="id1004220"></a>
<a name="id1029119"></a>
<a class="link" href="tr1.html#math_toolkit.main_overview.tr1.currently_unsupported_tr1_functions">Currently
Unsupported TR1 Functions</a>
</h5>

View File

@@ -46,7 +46,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.perf.comparisons.comparison_to_gsl_1_13_and_cephes"></a><h5>
<a name="id1386878"></a>
<a name="id1411310"></a>
<a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_gsl_1_13_and_cephes">Comparison
to GSL-1.13 and Cephes</a>
</h5>
@@ -344,7 +344,7 @@
</td>
<td>
<p>
+INF <sup>[<a name="id1387435" href="#ftn.id1387435" class="footnote">1</a>]</sup>
+INF <sup>[<a name="id1412455" href="#ftn.id1412455" class="footnote">1</a>]</sup>
</p>
</td>
</tr>
@@ -423,7 +423,7 @@
<td>
<p>
</p>
<p>17.89<sup>[<a name="id1387592" href="#ftn.id1387592" class="footnote">2</a>]</sup></p>
<p>17.89<sup>[<a name="id1412612" href="#ftn.id1412612" class="footnote">2</a>]</sup></p>
<p> </p>
<p>(4.248e-005s)</p>
<p>
@@ -548,11 +548,11 @@
</tr>
</tbody>
<tbody class="footnotes"><tr><td colspan="4">
<div class="footnote"><p><sup>[<a name="ftn.id1387435" href="#id1387435" class="para">1</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1412455" href="#id1412455" class="para">1</a>] </sup>
Cephes gets stuck in an infinite loop while trying to execute
our test cases.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1387592" href="#id1387592" class="para">2</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1412612" href="#id1412612" class="para">2</a>] </sup>
The performance here is dominated by a few cases where the parameters
grow very large: faster asymptotic expansions are available,
but are of limited (or even frankly terrible) precision. The
@@ -563,7 +563,7 @@
</td></tr></tbody>
</table></div>
<a name="math_toolkit.perf.comparisons.comparison_to_the_r_and_dcdflib_statistical_libraries_on_windows"></a><h5>
<a name="id1387836"></a>
<a name="id1412856"></a>
<a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_the_r_and_dcdflib_statistical_libraries_on_windows">Comparison
to the R and DCDFLIB Statistical Libraries on Windows</a>
</h5>
@@ -659,7 +659,7 @@
<td>
<p>
</p>
<p>67.66<sup>[<a name="id1387999" href="#ftn.id1387999" class="footnote">1</a>]</sup></p>
<p>67.66<sup>[<a name="id1413019" href="#ftn.id1413019" class="footnote">1</a>]</sup></p>
<p> </p>
<p>(3.366e-004s)</p>
<p>
@@ -1088,7 +1088,7 @@
<td>
<p>
</p>
<p>3.60<sup>[<a name="id1388768" href="#ftn.id1388768" class="footnote">2</a>]</sup></p>
<p>3.60<sup>[<a name="id1413772" href="#ftn.id1413772" class="footnote">2</a>]</sup></p>
<p> </p>
<p>(5.987e-007s)</p>
<p>
@@ -1317,7 +1317,7 @@
<td>
<p>
</p>
<p>43.43<sup>[<a name="id1389174" href="#ftn.id1389174" class="footnote">3</a>]</sup></p>
<p>43.43<sup>[<a name="id1414179" href="#ftn.id1414179" class="footnote">3</a>]</sup></p>
<p> </p>
<p>(3.732e-004s)</p>
<p>
@@ -1387,7 +1387,7 @@
<td>
<p>
</p>
<p>393.90<sup>[<a name="id1389300" href="#ftn.id1389300" class="footnote">4</a>]</sup></p>
<p>393.90<sup>[<a name="id1414305" href="#ftn.id1414305" class="footnote">4</a>]</sup></p>
<p> </p>
<p>(2.673e-002s)</p>
<p>
@@ -1523,7 +1523,7 @@
<td>
<p>
</p>
<p><span class="bold"><strong>1.00</strong></span><sup>[<a name="id1389551" href="#ftn.id1389551" class="footnote">5</a>]</sup></p>
<p><span class="bold"><strong>1.00</strong></span><sup>[<a name="id1414708" href="#ftn.id1414708" class="footnote">5</a>]</sup></p>
<p> </p>
<p>(4.411e-004s)</p>
<p>
@@ -1809,28 +1809,28 @@
</tr>
</tbody>
<tbody class="footnotes"><tr><td colspan="4">
<div class="footnote"><p><sup>[<a name="ftn.id1387999" href="#id1387999" class="para">1</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1413019" href="#id1413019" class="para">1</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1388768" href="#id1388768" class="para">2</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1413772" href="#id1413772" class="para">2</a>] </sup>
This result is somewhat misleading: for small values of the parameters
there is virtually no difference between the two libraries, but
for large values the Boost implementation is <span class="emphasis"><em>much</em></span>
slower, albeit with much improved precision.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1389174" href="#id1389174" class="para">3</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1414179" href="#id1414179" class="para">3</a>] </sup>
The R library appears to use a linear-search strategy, that can
perform very badly in a small number of pathological cases, but
may or may not be more efficient in "typical" cases
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1389300" href="#id1389300" class="para">4</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1414305" href="#id1414305" class="para">4</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1389551" href="#id1389551" class="para">5</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1414708" href="#id1414708" class="para">5</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
@@ -1839,7 +1839,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_linux"></a><h5>
<a name="id1390055"></a>
<a name="id1415212"></a>
<a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_linux">Comparison
to the R Statistical Library on Linux</a>
</h5>
@@ -1934,7 +1934,7 @@
<td>
<p>
</p>
<p>30.51<sup>[<a name="id1390218" href="#ftn.id1390218" class="footnote">1</a>]</sup></p>
<p>30.51<sup>[<a name="id1415375" href="#ftn.id1415375" class="footnote">1</a>]</sup></p>
<p> </p>
<p>(3.616e-004s)</p>
<p>
@@ -2363,7 +2363,7 @@
<td>
<p>
</p>
<p>2.20<sup>[<a name="id1391107" href="#ftn.id1391107" class="footnote">2</a>]</sup></p>
<p>2.20<sup>[<a name="id1416126" href="#ftn.id1416126" class="footnote">2</a>]</sup></p>
<p> </p>
<p>(3.522e-007s)</p>
<p>
@@ -2592,7 +2592,7 @@
<td>
<p>
</p>
<p>25.92<sup>[<a name="id1391516" href="#ftn.id1391516" class="footnote">3</a>]</sup></p>
<p>25.92<sup>[<a name="id1416535" href="#ftn.id1416535" class="footnote">3</a>]</sup></p>
<p> </p>
<p>(4.407e-004s)</p>
<p>
@@ -2662,7 +2662,7 @@
<td>
<p>
</p>
<p>144.91<sup>[<a name="id1391642" href="#ftn.id1391642" class="footnote">4</a>]</sup></p>
<p>144.91<sup>[<a name="id1416661" href="#ftn.id1416661" class="footnote">4</a>]</sup></p>
<p> </p>
<p>(3.214e-002s)</p>
<p>
@@ -2798,7 +2798,7 @@
<td>
<p>
</p>
<p><span class="bold"><strong>1.00</strong></span><sup>[<a name="id1391888" href="#ftn.id1391888" class="footnote">5</a>]</sup></p>
<p><span class="bold"><strong>1.00</strong></span><sup>[<a name="id1417454" href="#ftn.id1417454" class="footnote">5</a>]</sup></p>
<p> </p>
<p>(5.916e-004s)</p>
<p>
@@ -3084,28 +3084,28 @@
</tr>
</tbody>
<tbody class="footnotes"><tr><td colspan="4">
<div class="footnote"><p><sup>[<a name="ftn.id1390218" href="#id1390218" class="para">1</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1415375" href="#id1415375" class="para">1</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1391107" href="#id1391107" class="para">2</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1416126" href="#id1416126" class="para">2</a>] </sup>
This result is somewhat misleading: for small values of the parameters
there is virtually no difference between the two libraries, but
for large values the Boost implementation is <span class="emphasis"><em>much</em></span>
slower, albeit with much improved precision.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1391516" href="#id1391516" class="para">3</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1416535" href="#id1416535" class="para">3</a>] </sup>
The R library appears to use a linear-search strategy, that can
perform very badly in a small number of pathological cases, but
may or may not be more efficient in "typical" cases
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1391642" href="#id1391642" class="para">4</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1416661" href="#id1416661" class="para">4</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.
</p></div>
<div class="footnote"><p><sup>[<a name="ftn.id1391888" href="#id1391888" class="para">5</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1417454" href="#id1417454" class="para">5</a>] </sup>
There are a small number of our test cases where the R library
fails to converge on a result: these tend to dominate the performance
result.

View File

@@ -55,7 +55,7 @@
can take have the following meanings:
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.real"></a><h6>
<a name="id1372987"></a>
<a name="id1396786"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.real">real</a>
</h6>
<p>
@@ -89,7 +89,7 @@
<span class="special">=</span> <span class="number">68.1584</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_outwards"></a><h6>
<a name="id1373339"></a>
<a name="id1397137"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_outwards">integer_round_outwards</a>
</h6>
<p>
@@ -143,7 +143,7 @@
in each tail</em></span>.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_inwards"></a><h6>
<a name="id1374862"></a>
<a name="id1397533"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_inwards">integer_round_inwards</a>
</h6>
<p>
@@ -202,7 +202,7 @@
in each tail</em></span>.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_down"></a><h6>
<a name="id1375356"></a>
<a name="id1398028"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_down">integer_round_down</a>
</h6>
<p>
@@ -210,7 +210,7 @@
or a lower quantile.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_up"></a><h6>
<a name="id1375375"></a>
<a name="id1398047"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_up">integer_round_up</a>
</h6>
<p>
@@ -218,7 +218,7 @@
a lower quantile.
</p>
<a name="math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_nearest"></a><h6>
<a name="id1375394"></a>
<a name="id1398066"></a>
<a class="link" href="discrete_quant_ref.html#math_toolkit.policy.pol_ref.discrete_quant_ref.integer_round_nearest">integer_round_nearest</a>
</h6>
<p>

View File

@@ -39,7 +39,7 @@
</li>
</ul></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.available_actions_when_an_error_is_raised"></a><h5>
<a name="id1365428"></a>
<a name="id1390715"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.available_actions_when_an_error_is_raised">Available
Actions When an Error is Raised</a>
</h5>
@@ -62,7 +62,7 @@
The various enumerated values have the following meanings:
</p>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.throw_on_error"></a><h6>
<a name="id1365610"></a>
<a name="id1390896"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.throw_on_error">throw_on_error</a>
</h6>
<p>
@@ -174,7 +174,7 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.errno_on_error"></a><h6>
<a name="id1365787"></a>
<a name="id1391074"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.errno_on_error">errno_on_error</a>
</h6>
<p>
@@ -289,7 +289,7 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.ignore_error"></a><h6>
<a name="id1365989"></a>
<a name="id1391275"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.ignore_error">ignore_error</a>
</h6>
<p>
@@ -402,7 +402,7 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.user_error"></a><h6>
<a name="id1366180"></a>
<a name="id1391466"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.user_error">user_error</a>
</h6>
<p>
@@ -451,7 +451,7 @@
here</a>.
</p>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.kinds_of_error_raised"></a><h5>
<a name="id1369682"></a>
<a name="id1392354"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.kinds_of_error_raised">Kinds
of Error Raised</a>
</h5>
@@ -691,7 +691,7 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.error_handling_policies.examples"></a><h5>
<a name="id1370523"></a>
<a name="id1393904"></a>
<a class="link" href="error_handling_policies.html#math_toolkit.policy.pol_ref.error_handling_policies.examples">Examples</a>
</h5>
<p>

View File

@@ -85,7 +85,7 @@
</tbody>
</table></div>
<a name="math_toolkit.policy.pol_ref.internal_promotion.examples"></a><h5>
<a name="id1371864"></a>
<a name="id1395096"></a>
<a class="link" href="internal_promotion.html#math_toolkit.policy.pol_ref.internal_promotion.examples">Examples</a>
</h5>
<p>

View File

@@ -61,7 +61,7 @@
then you can do so by defining various macros in <a href="../../../../../../../../boost/math/tools/user.hpp" target="_top">boost/math/tools/user.hpp</a>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_domain_error_policy"></a><h6>
<a name="id1376742"></a>
<a name="id1401216"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_domain_error_policy">BOOST_MATH_DOMAIN_ERROR_POLICY</a>
</h6>
<p>
@@ -71,7 +71,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_pole_error_policy"></a><h6>
<a name="id1377478"></a>
<a name="id1401268"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_pole_error_policy">BOOST_MATH_POLE_ERROR_POLICY</a>
</h6>
<p>
@@ -81,7 +81,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_overflow_error_policy"></a><h6>
<a name="id1377531"></a>
<a name="id1401321"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_overflow_error_policy">BOOST_MATH_OVERFLOW_ERROR_POLICY</a>
</h6>
<p>
@@ -91,7 +91,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_rounding_error_policy"></a><h6>
<a name="id1377584"></a>
<a name="id1401374"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_rounding_error_policy">BOOST_MATH_ROUNDING_ERROR_POLICY</a>
</h6>
<p>
@@ -101,7 +101,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_evaluation_error_policy"></a><h6>
<a name="id1377636"></a>
<a name="id1401427"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_evaluation_error_policy">BOOST_MATH_EVALUATION_ERROR_POLICY</a>
</h6>
<p>
@@ -111,7 +111,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_underflow_error_policy"></a><h6>
<a name="id1377689"></a>
<a name="id1401480"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_underflow_error_policy">BOOST_MATH_UNDERFLOW_ERROR_POLICY</a>
</h6>
<p>
@@ -121,7 +121,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_denorm_error_policy"></a><h6>
<a name="id1377742"></a>
<a name="id1401532"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_denorm_error_policy">BOOST_MATH_DENORM_ERROR_POLICY</a>
</h6>
<p>
@@ -131,7 +131,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_indeterminate_result_error_policy"></a><h6>
<a name="id1377795"></a>
<a name="id1401585"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_indeterminate_result_error_policy">BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY</a>
</h6>
<p>
@@ -142,7 +142,7 @@
<code class="computeroutput"><span class="identifier">ignore_error</span></code> or <code class="computeroutput"><span class="identifier">user_error</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_digits10_policy"></a><h6>
<a name="id1377848"></a>
<a name="id1401638"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_digits10_policy">BOOST_MATH_DIGITS10_POLICY</a>
</h6>
<p>
@@ -153,7 +153,7 @@
recommended that you change this from the default.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_float_policy"></a><h6>
<a name="id1377872"></a>
<a name="id1401662"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_float_policy">BOOST_MATH_PROMOTE_FLOAT_POLICY</a>
</h6>
<p>
@@ -165,7 +165,7 @@
off.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_double_policy"></a><h6>
<a name="id1377926"></a>
<a name="id1401716"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_promote_double_policy">BOOST_MATH_PROMOTE_DOUBLE_POLICY</a>
</h6>
<p>
@@ -177,7 +177,7 @@
off.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_discrete_quantile_policy"></a><h6>
<a name="id1377984"></a>
<a name="id1401775"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_discrete_quantile_policy">BOOST_MATH_DISCRETE_QUANTILE_POLICY</a>
</h6>
<p>
@@ -188,7 +188,7 @@
Defaults to <code class="computeroutput"><span class="identifier">integer_round_outwards</span></code>.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_assert_undefined_policy"></a><h6>
<a name="id1378052"></a>
<a name="id1401842"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_assert_undefined_policy">BOOST_MATH_ASSERT_UNDEFINED_POLICY</a>
</h6>
<p>
@@ -201,7 +201,7 @@
whether or not a particular property is well defined.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_series_iteration_policy"></a><h6>
<a name="id1378083"></a>
<a name="id1401873"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_series_iteration_policy">BOOST_MATH_MAX_SERIES_ITERATION_POLICY</a>
</h6>
<p>
@@ -210,7 +210,7 @@
Defaults to 1000000.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_root_iteration_policy"></a><h6>
<a name="id1378104"></a>
<a name="id1401895"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.boost_math_max_root_iteration_policy">BOOST_MATH_MAX_ROOT_ITERATION_POLICY</a>
</h6>
<p>
@@ -219,7 +219,7 @@
Defaults to 200.
</p>
<a name="math_toolkit.policy.pol_ref.policy_defaults.example"></a><h6>
<a name="id1378127"></a>
<a name="id1401918"></a>
<a class="link" href="policy_defaults.html#math_toolkit.policy.pol_ref.policy_defaults.example">Example</a>
</h6>
<p>

View File

@@ -177,7 +177,7 @@
<span class="emphasis"><em>base your comparisons on CDF's instead</em></span>.
</p>
<a name="math_toolkit.policy.pol_tutorial.understand_dis_quant.other_rounding_policies_are_available"></a><h6>
<a name="id1362573"></a>
<a name="id1386778"></a>
<a class="link" href="understand_dis_quant.html#math_toolkit.policy.pol_tutorial.understand_dis_quant.other_rounding_policies_are_available">Other
Rounding Policies are Available</a>
</h6>

View File

@@ -28,7 +28,7 @@
of the First and Second Kinds</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.bessel.synopsis"></a><h5>
<a name="id1228465"></a>
<a name="id1252048"></a>
<a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">&gt;</span>
@@ -44,7 +44,7 @@
<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_neumann</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&amp;);</span>
</pre>
<a name="math_toolkit.special.bessel.bessel.description"></a><h5>
<a name="id1228832"></a>
<a name="id1252416"></a>
<a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.description">Description</a>
</h5>
<p>
@@ -105,7 +105,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cyl_neumann.png" align="middle"></span>
</p>
<a name="math_toolkit.special.bessel.bessel.testing"></a><h5>
<a name="id1229112"></a>
<a name="id1253515"></a>
<a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.testing">Testing</a>
</h5>
<p>
@@ -114,7 +114,7 @@
(with all the special case handling removed).
</p>
<a name="math_toolkit.special.bessel.bessel.accuracy"></a><h5>
<a name="id1229133"></a>
<a name="id1253537"></a>
<a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.accuracy">Accuracy</a>
</h5>
<p>
@@ -489,7 +489,7 @@
were found.
</p>
<a name="math_toolkit.special.bessel.bessel.implementation"></a><h5>
<a name="id1229828"></a>
<a name="id1254231"></a>
<a class="link" href="bessel.html#math_toolkit.special.bessel.bessel.implementation">Implementation</a>
</h5>
<p>

View File

@@ -28,7 +28,7 @@
Overview</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.bessel_over.ordinary_bessel_functions"></a><h5>
<a name="id1224689"></a>
<a name="id1251303"></a>
<a class="link" href="bessel_over.html#math_toolkit.special.bessel.bessel_over.ordinary_bessel_functions">Ordinary
Bessel Functions</a>
</h5>
@@ -103,7 +103,7 @@ and is known as either a Bessel
<span class="inlinemediaobject"><img src="../../../../equations/bessel10.png"></span>
</p>
<a name="math_toolkit.special.bessel.bessel_over.modified_bessel_functions"></a><h5>
<a name="id1228040"></a>
<a name="id1251624"></a>
<a class="link" href="bessel_over.html#math_toolkit.special.bessel.bessel_over.modified_bessel_functions">Modified
Bessel Functions</a>
</h5>
@@ -167,7 +167,7 @@ respectively:
<span class="inlinemediaobject"><img src="../../../../equations/mbessel10.png"></span>
</p>
<a name="math_toolkit.special.bessel.bessel_over.spherical_bessel_functions"></a><h5>
<a name="id1228345"></a>
<a name="id1251928"></a>
<a class="link" href="bessel_over.html#math_toolkit.special.bessel.bessel_over.spherical_bessel_functions">Spherical
Bessel Functions</a>
</h5>

View File

@@ -28,7 +28,7 @@
Functions of the First and Second Kinds</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.mbessel.synopsis"></a><h5>
<a name="id1230584"></a>
<a name="id1254837"></a>
<a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">&gt;</span>
@@ -44,7 +44,7 @@
<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">cyl_bessel_k</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&amp;);</span>
</pre>
<a name="math_toolkit.special.bessel.mbessel.description"></a><h5>
<a name="id1230951"></a>
<a name="id1255205"></a>
<a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.description">Description</a>
</h5>
<p>
@@ -104,7 +104,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cyl_bessel_k.png" align="middle"></span>
</p>
<a name="math_toolkit.special.bessel.mbessel.testing"></a><h5>
<a name="id1231220"></a>
<a name="id1255473"></a>
<a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.testing">Testing</a>
</h5>
<p>
@@ -113,7 +113,7 @@
(with all the special case handling removed).
</p>
<a name="math_toolkit.special.bessel.mbessel.accuracy"></a><h5>
<a name="id1231241"></a>
<a name="id1255495"></a>
<a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.accuracy">Accuracy</a>
</h5>
<p>
@@ -321,7 +321,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.bessel.mbessel.implementation"></a><h5>
<a name="id1231574"></a>
<a name="id1256120"></a>
<a class="link" href="mbessel.html#math_toolkit.special.bessel.mbessel.implementation">Implementation</a>
</h5>
<p>

View File

@@ -28,7 +28,7 @@
Functions of the First and Second Kinds</a>
</h4></div></div></div>
<a name="math_toolkit.special.bessel.sph_bessel.synopsis"></a><h5>
<a name="id1232087"></a>
<a name="id1256634"></a>
<a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.synopsis">Synopsis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">&gt;</span>
@@ -44,7 +44,7 @@
<a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sph_neumann</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">v</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&amp;);</span>
</pre>
<a name="math_toolkit.special.bessel.sph_bessel.description"></a><h5>
<a name="id1232455"></a>
<a name="id1257001"></a>
<a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.description">Description</a>
</h5>
<p>
@@ -92,7 +92,7 @@ for small <span class="emphasis"><em>x</em></span>:
<span class="inlinemediaobject"><img src="../../../../graphs/sph_neumann.png" align="middle"></span>
</p>
<a name="math_toolkit.special.bessel.sph_bessel.testing"></a><h5>
<a name="id1232871"></a>
<a name="id1257197"></a>
<a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.testing">Testing</a>
</h5>
<p>
@@ -101,7 +101,7 @@ for small <span class="emphasis"><em>x</em></span>:
implementation (with all the special case handling removed).
</p>
<a name="math_toolkit.special.bessel.sph_bessel.accuracy"></a><h5>
<a name="id1232892"></a>
<a name="id1257218"></a>
<a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.accuracy">Accuracy</a>
</h5>
<p>
@@ -111,7 +111,7 @@ for small <span class="emphasis"><em>x</em></span>:
refer to these functions for accuracy data.
</p>
<a name="math_toolkit.special.bessel.sph_bessel.implementation"></a><h5>
<a name="id1232919"></a>
<a name="id1257245"></a>
<a class="link" href="sph_bessel.html#math_toolkit.special.bessel.sph_bessel.implementation">Implementation</a>
</h5>
<p>

View File

@@ -28,7 +28,7 @@
of the First Kind - Legendre Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_1.synopsis"></a><h6>
<a name="id1238539"></a>
<a name="id1262795"></a>
<a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.synopsis">Synopsis</a>
</h6>
<p>
@@ -55,7 +55,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_1.description"></a><h6>
<a name="id1238943"></a>
<a name="id1263199"></a>
<a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.description">Description</a>
</h6>
<p>
@@ -113,7 +113,7 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.ellint.ellint_1.accuracy"></a><h6>
<a name="id1239400"></a>
<a name="id1263656"></a>
<a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.accuracy">Accuracy</a>
</h6>
<p>
@@ -225,7 +225,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_1.testing"></a><h6>
<a name="id1239574"></a>
<a name="id1263830"></a>
<a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.testing">Testing</a>
</h6>
<p>
@@ -235,7 +235,7 @@
this implementation.
</p>
<a name="math_toolkit.special.ellint.ellint_1.implementation"></a><h6>
<a name="id1239596"></a>
<a name="id1263852"></a>
<a class="link" href="ellint_1.html#math_toolkit.special.ellint.ellint_1.implementation">Implementation</a>
</h6>
<p>

View File

@@ -28,7 +28,7 @@
of the Second Kind - Legendre Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_2.synopsis"></a><h6>
<a name="id1239675"></a>
<a name="id1264632"></a>
<a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.synopsis">Synopsis</a>
</h6>
<p>
@@ -55,7 +55,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_2.description"></a><h6>
<a name="id1240080"></a>
<a name="id1265036"></a>
<a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.description">Description</a>
</h6>
<p>
@@ -113,7 +113,7 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.ellint.ellint_2.accuracy"></a><h6>
<a name="id1240537"></a>
<a name="id1265493"></a>
<a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.accuracy">Accuracy</a>
</h6>
<p>
@@ -225,7 +225,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_2.testing"></a><h6>
<a name="id1240848"></a>
<a name="id1265667"></a>
<a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.testing">Testing</a>
</h6>
<p>
@@ -235,7 +235,7 @@
this implementation.
</p>
<a name="math_toolkit.special.ellint.ellint_2.implementation"></a><h6>
<a name="id1240870"></a>
<a name="id1265689"></a>
<a class="link" href="ellint_2.html#math_toolkit.special.ellint.ellint_2.implementation">Implementation</a>
</h6>
<p>

View File

@@ -28,7 +28,7 @@
of the Third Kind - Legendre Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_3.synopsis"></a><h6>
<a name="id1240949"></a>
<a name="id1265768"></a>
<a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.synopsis">Synopsis</a>
</h6>
<p>
@@ -55,7 +55,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_3.description"></a><h6>
<a name="id1241459"></a>
<a name="id1266278"></a>
<a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.description">Description</a>
</h6>
<p>
@@ -119,7 +119,7 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.ellint.ellint_3.accuracy"></a><h6>
<a name="id1242053"></a>
<a name="id1268647"></a>
<a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.accuracy">Accuracy</a>
</h6>
<p>
@@ -231,7 +231,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_3.testing"></a><h6>
<a name="id1242227"></a>
<a name="id1268821"></a>
<a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.testing">Testing</a>
</h6>
<p>
@@ -241,7 +241,7 @@
this implementation.
</p>
<a name="math_toolkit.special.ellint.ellint_3.implementation"></a><h6>
<a name="id1242248"></a>
<a name="id1268843"></a>
<a class="link" href="ellint_3.html#math_toolkit.special.ellint.ellint_3.implementation">Implementation</a>
</h6>
<p>
@@ -278,7 +278,7 @@
<span class="emphasis"><em>&#928;(n, &#966;+m&#960;, k) = &#928;(n, &#966;, k) + 2m&#928;(n, k) ; n &lt;= 1</em></span>
</p>
<p>
<span class="emphasis"><em>&#928;(n, &#966;+m&#960;, k) = &#928;(n, &#966;, k) ; n &gt; 1</em></span> <sup>[<a name="id1242364" href="#ftn.id1242364" class="footnote">1</a>]</sup>
<span class="emphasis"><em>&#928;(n, &#966;+m&#960;, k) = &#928;(n, &#966;, k) ; n &gt; 1</em></span> <sup>[<a name="id1268958" href="#ftn.id1268958" class="footnote">1</a>]</sup>
</p>
<p>
are used to move &#966; &#160; to the range [0, &#960;/2].
@@ -298,7 +298,7 @@
</p>
<div class="footnotes">
<br><hr width="100" align="left">
<div class="footnote"><p><sup>[<a name="ftn.id1242364" href="#id1242364" class="para">1</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1268958" href="#id1268958" class="para">1</a>] </sup>
I haven't been able to find a literature reference for this relation,
but it appears to be the convention used by Mathematica. Intuitively
the first <span class="emphasis"><em>2 * m * &#928;(n, k)</em></span> terms cancel out as the

View File

@@ -28,7 +28,7 @@
Integrals - Carlson Form</a>
</h4></div></div></div>
<a name="math_toolkit.special.ellint.ellint_carlson.synopsis"></a><h6>
<a name="id1234096"></a>
<a name="id1259749"></a>
<a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.synopsis">Synopsis</a>
</h6>
<p>
@@ -100,7 +100,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.ellint.ellint_carlson.description"></a><h6>
<a name="id1236656"></a>
<a name="id1261048"></a>
<a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.description">Description</a>
</h6>
<p>
@@ -216,7 +216,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint18.png"></span>
</p>
<a name="math_toolkit.special.ellint.ellint_carlson.testing"></a><h6>
<a name="id1237931"></a>
<a name="id1262324"></a>
<a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.testing">Testing</a>
</h6>
<p>
@@ -239,7 +239,7 @@
to verify their correctness: see the above Carlson paper for details.
</p>
<a name="math_toolkit.special.ellint.ellint_carlson.accuracy"></a><h6>
<a name="id1237972"></a>
<a name="id1262365"></a>
<a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.accuracy">Accuracy</a>
</h6>
<p>
@@ -393,7 +393,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.ellint.ellint_carlson.implementation"></a><h6>
<a name="id1238219"></a>
<a name="id1262612"></a>
<a class="link" href="ellint_carlson.html#math_toolkit.special.ellint.ellint_carlson.implementation">Implementation</a>
</h6>
<p>

View File

@@ -49,14 +49,14 @@
Elliptic integral</a>.
</p>
<a name="math_toolkit.special.ellint.ellint_intro.notation"></a><h5>
<a name="id1233066"></a>
<a name="id1257392"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.notation">Notation</a>
</h5>
<p>
All variables are real numbers unless otherwise noted.
</p>
<a name="math_toolkit.special.ellint.ellint_intro._anchor_id__ellint_def____definition"></a><h5>
<a name="id1233083"></a>
<a name="id1257409"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro._anchor_id__ellint_def____definition"><a name="ellint_def"></a> Definition</a>
</h5>
<p>
@@ -245,7 +245,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.special.ellint.ellint_intro._anchor_id__ellint_theorem____duplication_theorem"></a><h5>
<a name="id1233680"></a>
<a name="id1258006"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro._anchor_id__ellint_theorem____duplication_theorem"><a name="ellint_theorem"></a> Duplication Theorem</a>
</h5>
<p>
@@ -256,7 +256,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint13.png"></span>
</p>
<a name="math_toolkit.special.ellint.ellint_intro._anchor_id__ellint_formula____carlson_s_formulas"></a><h5>
<a name="id1233728"></a>
<a name="id1258054"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro._anchor_id__ellint_formula____carlson_s_formulas"><a name="ellint_formula"></a> Carlson's Formulas</a>
</h5>
<p>
@@ -273,7 +273,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ellint15.png"></span>
</p>
<a name="math_toolkit.special.ellint.ellint_intro.numerical_algorithms"></a><h5>
<a name="id1233801"></a>
<a name="id1258127"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro.numerical_algorithms">Numerical
Algorithms</a>
</h5>
@@ -287,7 +287,7 @@
integrals with satisfactory precisions.
</p>
<a name="math_toolkit.special.ellint.ellint_intro._anchor_id__ellint_refs____references"></a><h5>
<a name="id1233831"></a>
<a name="id1258157"></a>
<a class="link" href="ellint_intro.html#math_toolkit.special.ellint.ellint_intro._anchor_id__ellint_refs____references"><a name="ellint_refs"></a> References</a>
</h5>
<p>

View File

@@ -28,7 +28,7 @@
Ei</a>
</h4></div></div></div>
<a name="math_toolkit.special.expint.expint_i.synopsis"></a><h5>
<a name="id1245620"></a>
<a name="id1271012"></a>
<a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.synopsis">Synopsis</a>
</h5>
<p>
@@ -58,7 +58,7 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.expint.expint_i.description"></a><h5>
<a name="id1245876"></a>
<a name="id1271269"></a>
<a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
@@ -78,7 +78,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/expint_i.png" align="middle"></span>
</p>
<a name="math_toolkit.special.expint.expint_i.accuracy"></a><h5>
<a name="id1246076"></a>
<a name="id1271468"></a>
<a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.accuracy">Accuracy</a>
</h5>
<p>
@@ -202,7 +202,7 @@
slightly over the range [4,6].
</p>
<a name="math_toolkit.special.expint.expint_i.testing"></a><h5>
<a name="id1246264"></a>
<a name="id1271656"></a>
<a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.testing">Testing</a>
</h5>
<p>
@@ -217,7 +217,7 @@
check.
</p>
<a name="math_toolkit.special.expint.expint_i.implementation"></a><h5>
<a name="id1246290"></a>
<a name="id1271683"></a>
<a class="link" href="expint_i.html#math_toolkit.special.expint.expint_i.implementation">Implementation</a>
</h5>
<p>
@@ -247,7 +247,7 @@
a minimax rational approximation rescaled so that it is evaluated over
[-1,1]. Note that while the rational approximation over [0,6] converges
rapidly to the minimax solution it is rather ill-conditioned in practice.
Cody and Thacher <sup>[<a name="id1246378" href="#ftn.id1246378" class="footnote">2</a>]</sup> experienced the same issue and converted the polynomials into
Cody and Thacher <sup>[<a name="id1271770" href="#ftn.id1271770" class="footnote">2</a>]</sup> experienced the same issue and converted the polynomials into
Chebeshev form to ensure stable computation. By experiment we found that
the polynomials are just as stable in polynomial as Chebyshev form, <span class="emphasis"><em>provided</em></span>
they are computed over the interval [-1,1].
@@ -277,7 +277,7 @@
</p>
<div class="footnotes">
<br><hr width="100" align="left">
<div class="footnote"><p><sup>[<a name="ftn.id1246378" href="#id1246378" class="para">2</a>] </sup>
<div class="footnote"><p><sup>[<a name="ftn.id1271770" href="#id1271770" class="para">2</a>] </sup>
W. J. Cody and H. C. Thacher, Jr., Rational Chebyshev approximations
for the exponential integral E<sub>1</sub>(x), Math. Comp. 22 (1968), 641-649, and
W. J. Cody and H. C. Thacher, Jr., Chebyshev approximations for the exponential

View File

@@ -28,7 +28,7 @@
En</a>
</h4></div></div></div>
<a name="math_toolkit.special.expint.expint_n.synopsis"></a><h5>
<a name="id1244645"></a>
<a name="id1270011"></a>
<a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.synopsis">Synopsis</a>
</h5>
<p>
@@ -58,7 +58,7 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.expint.expint_n.description"></a><h5>
<a name="id1244928"></a>
<a name="id1270294"></a>
<a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
@@ -78,7 +78,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/expint2.png" align="middle"></span>
</p>
<a name="math_toolkit.special.expint.expint_n.accuracy"></a><h5>
<a name="id1245153"></a>
<a name="id1270518"></a>
<a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.accuracy">Accuracy</a>
</h5>
<p>
@@ -220,7 +220,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.expint.expint_n.testing"></a><h5>
<a name="id1245380"></a>
<a name="id1270772"></a>
<a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.testing">Testing</a>
</h5>
<p>
@@ -235,7 +235,7 @@
check.
</p>
<a name="math_toolkit.special.expint.expint_n.implementation"></a><h5>
<a name="id1245406"></a>
<a name="id1270798"></a>
<a class="link" href="expint_n.html#math_toolkit.special.expint.expint_n.implementation">Implementation</a>
</h5>
<p>

View File

@@ -90,7 +90,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.special.factorials.sf_binomial.accuracy"></a><h5>
<a name="id1193075"></a>
<a name="id1219253"></a>
<a class="link" href="sf_binomial.html#math_toolkit.special.factorials.sf_binomial.accuracy">Accuracy</a>
</h5>
<p>
@@ -99,14 +99,14 @@
function for larger arguments.
</p>
<a name="math_toolkit.special.factorials.sf_binomial.testing"></a><h5>
<a name="id1193096"></a>
<a name="id1219274"></a>
<a class="link" href="sf_binomial.html#math_toolkit.special.factorials.sf_binomial.testing">Testing</a>
</h5>
<p>
The spot tests for the binomial coefficients use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_binomial.implementation"></a><h5>
<a name="id1193116"></a>
<a name="id1219293"></a>
<a class="link" href="sf_binomial.html#math_toolkit.special.factorials.sf_binomial.implementation">Implementation</a>
</h5>
<p>

View File

@@ -106,7 +106,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.special.factorials.sf_double_factorial.accuracy"></a><h5>
<a name="id1191660"></a>
<a name="id1216160"></a>
<a class="link" href="sf_double_factorial.html#math_toolkit.special.factorials.sf_double_factorial.accuracy">Accuracy</a>
</h5>
<p>
@@ -114,14 +114,14 @@
so error rates should be no more than a couple of epsilon higher.
</p>
<a name="math_toolkit.special.factorials.sf_double_factorial.testing"></a><h5>
<a name="id1191681"></a>
<a name="id1216182"></a>
<a class="link" href="sf_double_factorial.html#math_toolkit.special.factorials.sf_double_factorial.testing">Testing</a>
</h5>
<p>
The spot tests for the double factorial use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_double_factorial.implementation"></a><h5>
<a name="id1191701"></a>
<a name="id1216201"></a>
<a class="link" href="sf_double_factorial.html#math_toolkit.special.factorials.sf_double_factorial.implementation">Implementation</a>
</h5>
<p>

View File

@@ -27,7 +27,7 @@
<a name="math_toolkit.special.factorials.sf_factorial"></a><a class="link" href="sf_factorial.html" title="Factorial">Factorial</a>
</h4></div></div></div>
<a name="math_toolkit.special.factorials.sf_factorial.synopsis"></a><h5>
<a name="id1188032"></a>
<a name="id1214766"></a>
<a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.synopsis">Synopsis</a>
</h5>
<p>
@@ -54,7 +54,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.factorials.sf_factorial.description"></a><h5>
<a name="id1188340"></a>
<a name="id1215074"></a>
<a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.description">Description</a>
</h5>
<div class="important"><table border="0" summary="Important">
@@ -157,7 +157,7 @@
the size of further tables that depend on the factorials.
</p>
<a name="math_toolkit.special.factorials.sf_factorial.accuracy"></a><h5>
<a name="id1191126"></a>
<a name="id1215626"></a>
<a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.accuracy">Accuracy</a>
</h5>
<p>
@@ -166,7 +166,7 @@
will be the same as for <a class="link" href="../sf_gamma/tgamma.html" title="Gamma">tgamma</a>.
</p>
<a name="math_toolkit.special.factorials.sf_factorial.testing"></a><h5>
<a name="id1191169"></a>
<a name="id1215669"></a>
<a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.testing">Testing</a>
</h5>
<p>
@@ -175,7 +175,7 @@
function handle those cases already.
</p>
<a name="math_toolkit.special.factorials.sf_factorial.implementation"></a><h5>
<a name="id1191193"></a>
<a name="id1215693"></a>
<a class="link" href="sf_factorial.html#math_toolkit.special.factorials.sf_factorial.implementation">Implementation</a>
</h5>
<p>

View File

@@ -71,7 +71,7 @@
the type of the result is T.
</p>
<a name="math_toolkit.special.factorials.sf_falling_factorial.accuracy"></a><h5>
<a name="id1192459"></a>
<a name="id1218774"></a>
<a class="link" href="sf_falling_factorial.html#math_toolkit.special.factorials.sf_falling_factorial.accuracy">Accuracy</a>
</h5>
<p>
@@ -79,14 +79,14 @@
function.
</p>
<a name="math_toolkit.special.factorials.sf_falling_factorial.testing"></a><h5>
<a name="id1192487"></a>
<a name="id1218801"></a>
<a class="link" href="sf_falling_factorial.html#math_toolkit.special.factorials.sf_falling_factorial.testing">Testing</a>
</h5>
<p>
The spot tests for the falling factorials use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_falling_factorial.implementation"></a><h5>
<a name="id1192506"></a>
<a name="id1218821"></a>
<a class="link" href="sf_falling_factorial.html#math_toolkit.special.factorials.sf_falling_factorial.implementation">Implementation</a>
</h5>
<p>

View File

@@ -75,7 +75,7 @@
the type of the result is T.
</p>
<a name="math_toolkit.special.factorials.sf_rising_factorial.accuracy"></a><h5>
<a name="id1192067"></a>
<a name="id1218381"></a>
<a class="link" href="sf_rising_factorial.html#math_toolkit.special.factorials.sf_rising_factorial.accuracy">Accuracy</a>
</h5>
<p>
@@ -83,14 +83,14 @@
function.
</p>
<a name="math_toolkit.special.factorials.sf_rising_factorial.testing"></a><h5>
<a name="id1192094"></a>
<a name="id1218409"></a>
<a class="link" href="sf_rising_factorial.html#math_toolkit.special.factorials.sf_rising_factorial.testing">Testing</a>
</h5>
<p>
The spot tests for the rising factorials use data generated by functions.wolfram.com.
</p>
<a name="math_toolkit.special.factorials.sf_rising_factorial.implementation"></a><h5>
<a name="id1192113"></a>
<a name="id1218428"></a>
<a class="link" href="sf_rising_factorial.html#math_toolkit.special.factorials.sf_rising_factorial.implementation">Implementation</a>
</h5>
<p>

View File

@@ -62,14 +62,14 @@
<span class="inlinemediaobject"><img src="../../../../graphs/acosh.png" align="middle"></span>
</p>
<a name="math_toolkit.special.inv_hyper.acosh.accuracy"></a><h5>
<a name="id1254945"></a>
<a name="id1279901"></a>
<a class="link" href="acosh.html#math_toolkit.special.inv_hyper.acosh.accuracy">Accuracy</a>
</h5>
<p>
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
</p>
<a name="math_toolkit.special.inv_hyper.acosh.testing"></a><h5>
<a name="id1254962"></a>
<a name="id1279918"></a>
<a class="link" href="acosh.html#math_toolkit.special.inv_hyper.acosh.testing">Testing</a>
</h5>
<p>
@@ -85,7 +85,7 @@
to at least 50 decimal digits.
</p>
<a name="math_toolkit.special.inv_hyper.acosh.implementation"></a><h5>
<a name="id1255006"></a>
<a name="id1279962"></a>
<a class="link" href="acosh.html#math_toolkit.special.inv_hyper.acosh.implementation">Implementation</a>
</h5>
<p>

View File

@@ -57,14 +57,14 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.inv_hyper.asinh.accuracy"></a><h5>
<a name="id1255409"></a>
<a name="id1280366"></a>
<a class="link" href="asinh.html#math_toolkit.special.inv_hyper.asinh.accuracy">Accuracy</a>
</h5>
<p>
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
</p>
<a name="math_toolkit.special.inv_hyper.asinh.testing"></a><h5>
<a name="id1256792"></a>
<a name="id1280382"></a>
<a class="link" href="asinh.html#math_toolkit.special.inv_hyper.asinh.testing">Testing</a>
</h5>
<p>
@@ -80,7 +80,7 @@
to at least 50 decimal digits.
</p>
<a name="math_toolkit.special.inv_hyper.asinh.implementation"></a><h5>
<a name="id1256836"></a>
<a name="id1280427"></a>
<a class="link" href="asinh.html#math_toolkit.special.inv_hyper.asinh.implementation">Implementation</a>
</h5>
<p>

View File

@@ -71,14 +71,14 @@ denoting
<span class="inlinemediaobject"><img src="../../../../graphs/atanh.png" align="middle"></span>
</p>
<a name="math_toolkit.special.inv_hyper.atanh.accuracy"></a><h5>
<a name="id1257283"></a>
<a name="id1280873"></a>
<a class="link" href="atanh.html#math_toolkit.special.inv_hyper.atanh.accuracy">Accuracy</a>
</h5>
<p>
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
</p>
<a name="math_toolkit.special.inv_hyper.atanh.testing"></a><h5>
<a name="id1257300"></a>
<a name="id1280890"></a>
<a class="link" href="atanh.html#math_toolkit.special.inv_hyper.atanh.testing">Testing</a>
</h5>
<p>
@@ -94,7 +94,7 @@ denoting
to at least 50 decimal digits.
</p>
<a name="math_toolkit.special.inv_hyper.atanh.implementation"></a><h5>
<a name="id1257344"></a>
<a name="id1280934"></a>
<a class="link" href="atanh.html#math_toolkit.special.inv_hyper.atanh.implementation">Implementation</a>
</h5>
<p>

View File

@@ -66,7 +66,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/cbrt.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.cbrt.accuracy"></a><h5>
<a name="id1249064"></a>
<a name="id1273917"></a>
<a class="link" href="cbrt.html#math_toolkit.special.powers.cbrt.accuracy">Accuracy</a>
</h5>
<p>
@@ -74,7 +74,7 @@
should have approximately 2 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.cbrt.testing"></a><h5>
<a name="id1249088"></a>
<a name="id1273941"></a>
<a class="link" href="cbrt.html#math_toolkit.special.powers.cbrt.testing">Testing</a>
</h5>
<p>

View File

@@ -32,7 +32,7 @@
computes the compile-time integral power of a run-time base.
</p>
<a name="math_toolkit.special.powers.ct_pow.synopsis"></a><h5>
<a name="id1251422"></a>
<a name="id1275081"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.synopsis">Synopsis</a>
</h5>
<p>
@@ -49,7 +49,7 @@
<span class="special">}}</span>
</pre>
<a name="math_toolkit.special.powers.ct_pow.rationale_and_usage"></a><h5>
<a name="id1251684"></a>
<a name="id1275342"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.rationale_and_usage">Rationale
and Usage</a>
</h5>
@@ -91,7 +91,7 @@
Only 3 different products were actually computed.
</p>
<a name="math_toolkit.special.powers.ct_pow.return_type"></a><h5>
<a name="id1251957"></a>
<a name="id1275616"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.return_type">Return Type</a>
</h5>
<p>
@@ -112,7 +112,7 @@
</li>
</ul></div>
<a name="math_toolkit.special.powers.ct_pow.policies"></a><h5>
<a name="id1252051"></a>
<a name="id1275710"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.policies">Policies</a>
</h5>
<p>
@@ -121,7 +121,7 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.powers.ct_pow.error_handling"></a><h5>
<a name="id1252077"></a>
<a name="id1276975"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.error_handling">Error
Handling</a>
</h5>
@@ -227,7 +227,7 @@
<span class="keyword">double</span> <span class="identifier">result</span> <span class="special">=</span> <span class="identifier">pow</span><span class="special">&lt;-</span><span class="number">5</span><span class="special">&gt;(</span><span class="identifier">base</span><span class="special">);</span>
</pre>
<a name="math_toolkit.special.powers.ct_pow.acknowledgements"></a><h5>
<a name="id1252917"></a>
<a name="id1277815"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.acknowledgements">Acknowledgements</a>
</h5>
<p>
@@ -238,7 +238,7 @@
improving the implementation.
</p>
<a name="math_toolkit.special.powers.ct_pow.references"></a><h5>
<a name="id1252938"></a>
<a name="id1277835"></a>
<a class="link" href="ct_pow.html#math_toolkit.special.powers.ct_pow.references">References</a>
</h5>
<p>

View File

@@ -75,7 +75,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/expm1.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.expm1.accuracy"></a><h5>
<a name="id1248725"></a>
<a name="id1273577"></a>
<a class="link" href="expm1.html#math_toolkit.special.powers.expm1.accuracy">Accuracy</a>
</h5>
<p>
@@ -83,7 +83,7 @@
should have approximately 1 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.expm1.testing"></a><h5>
<a name="id1248749"></a>
<a name="id1273601"></a>
<a class="link" href="expm1.html#math_toolkit.special.powers.expm1.testing">Testing</a>
</h5>
<p>

View File

@@ -53,7 +53,7 @@ in such a
representable.
</p>
<a name="math_toolkit.special.powers.hypot.implementation"></a><h5>
<a name="id1251338"></a>
<a name="id1274997"></a>
<a class="link" href="hypot.html#math_toolkit.special.powers.hypot.implementation">Implementation</a>
</h5>
<p>

View File

@@ -88,7 +88,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/log1p.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.log1p.accuracy"></a><h5>
<a name="id1248323"></a>
<a name="id1272560"></a>
<a class="link" href="log1p.html#math_toolkit.special.powers.log1p.accuracy">Accuracy</a>
</h5>
<p>
@@ -96,7 +96,7 @@
should have approximately 1 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.log1p.testing"></a><h5>
<a name="id1248347"></a>
<a name="id1272584"></a>
<a class="link" href="log1p.html#math_toolkit.special.powers.log1p.testing">Testing</a>
</h5>
<p>

View File

@@ -69,14 +69,14 @@
<span class="inlinemediaobject"><img src="../../../../graphs/powm1.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.powm1.accuracy"></a><h5>
<a name="id1251039"></a>
<a name="id1274698"></a>
<a class="link" href="powm1.html#math_toolkit.special.powers.powm1.accuracy">Accuracy</a>
</h5>
<p>
Should have approximately 2-3 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.powm1.testing"></a><h5>
<a name="id1251056"></a>
<a name="id1274715"></a>
<a class="link" href="powm1.html#math_toolkit.special.powers.powm1.testing">Testing</a>
</h5>
<p>

View File

@@ -71,7 +71,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/sqrt1pm1.png" align="middle"></span>
</p>
<a name="math_toolkit.special.powers.sqrt1pm1.accuracy"></a><h5>
<a name="id1249453"></a>
<a name="id1274306"></a>
<a class="link" href="sqrt1pm1.html#math_toolkit.special.powers.sqrt1pm1.accuracy">Accuracy</a>
</h5>
<p>
@@ -79,7 +79,7 @@
should have approximately 3 epsilon accuracy.
</p>
<a name="math_toolkit.special.powers.sqrt1pm1.testing"></a><h5>
<a name="id1249477"></a>
<a name="id1274330"></a>
<a class="link" href="sqrt1pm1.html#math_toolkit.special.powers.sqrt1pm1.testing">Testing</a>
</h5>
<p>

View File

@@ -28,7 +28,7 @@
of the Incomplete Beta Function</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_beta.beta_derivative.synopsis"></a><h5>
<a name="id1206568"></a>
<a name="id1232767"></a>
<a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.synopsis">Synopsis</a>
</h5>
<p>
@@ -49,7 +49,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.beta_derivative.description"></a><h5>
<a name="id1206902"></a>
<a name="id1233102"></a>
<a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.description">Description</a>
</h5>
<p>
@@ -71,14 +71,14 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.sf_beta.beta_derivative.accuracy"></a><h5>
<a name="id1206977"></a>
<a name="id1233176"></a>
<a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.accuracy">Accuracy</a>
</h5>
<p>
Almost identical to the incomplete beta function <a class="link" href="ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>.
</p>
<a name="math_toolkit.special.sf_beta.beta_derivative.implementation"></a><h5>
<a name="id1207002"></a>
<a name="id1233202"></a>
<a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.implementation">Implementation</a>
</h5>
<p>

View File

@@ -27,7 +27,7 @@
<a name="math_toolkit.special.sf_beta.beta_function"></a><a class="link" href="beta_function.html" title="Beta">Beta</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_beta.beta_function.synopsis"></a><h5>
<a name="id1193206"></a>
<a name="id1219383"></a>
<a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.synopsis">Synopsis</a>
</h5>
<p>
@@ -48,7 +48,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.beta_function.description"></a><h5>
<a name="id1193485"></a>
<a name="id1219663"></a>
<a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.description">Description</a>
</h5>
<p>
@@ -81,7 +81,7 @@
type calculation rules</em></span></a> when T1 and T2 are different types.
</p>
<a name="math_toolkit.special.sf_beta.beta_function.accuracy"></a><h5>
<a name="id1193597"></a>
<a name="id1219775"></a>
<a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.accuracy">Accuracy</a>
</h5>
<p>
@@ -239,7 +239,7 @@
very small.
</p>
<a name="math_toolkit.special.sf_beta.beta_function.testing"></a><h5>
<a name="id1193846"></a>
<a name="id1220024"></a>
<a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.testing">Testing</a>
</h5>
<p>
@@ -248,7 +248,7 @@
at 1000-bit precision.
</p>
<a name="math_toolkit.special.sf_beta.beta_function.implementation"></a><h5>
<a name="id1193870"></a>
<a name="id1220048"></a>
<a class="link" href="beta_function.html#math_toolkit.special.sf_beta.beta_function.implementation">Implementation</a>
</h5>
<p>

View File

@@ -28,7 +28,7 @@
Beta Functions</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_beta.ibeta_function.synopsis"></a><h5>
<a name="id1194107"></a>
<a name="id1220570"></a>
<a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.synopsis">Synopsis</a>
</h5>
<p>
@@ -67,7 +67,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.ibeta_function.description"></a><h5>
<a name="id1195123"></a>
<a name="id1221586"></a>
<a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.description">Description</a>
</h5>
<p>
@@ -158,7 +158,7 @@
<span class="inlinemediaobject"><img src="../../../../equations/ibeta2.png"></span>
</p>
<a name="math_toolkit.special.sf_beta.ibeta_function.accuracy"></a><h5>
<a name="id1197671"></a>
<a name="id1223849"></a>
<a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.accuracy">Accuracy</a>
</h5>
<p>
@@ -865,7 +865,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.sf_beta.ibeta_function.testing"></a><h5>
<a name="id1200025"></a>
<a name="id1225028"></a>
<a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.testing">Testing</a>
</h5>
<p>
@@ -883,7 +883,7 @@
have test data that is fully independent of the code.
</p>
<a name="math_toolkit.special.sf_beta.ibeta_function.implementation"></a><h5>
<a name="id1200061"></a>
<a name="id1225064"></a>
<a class="link" href="ibeta_function.html#math_toolkit.special.sf_beta.ibeta_function.implementation">Implementation</a>
</h5>
<p>

View File

@@ -87,7 +87,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.description"></a><h5>
<a name="id1202534"></a>
<a name="id1227619"></a>
<a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.description">Description</a>
</h5>
<p>
@@ -288,7 +288,7 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.accuracy"></a><h5>
<a name="id1205779"></a>
<a name="id1230865"></a>
<a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.accuracy">Accuracy</a>
</h5>
<p>
@@ -300,7 +300,7 @@
or <code class="computeroutput"><span class="number">1</span></code>.
</p>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.testing"></a><h5>
<a name="id1205821"></a>
<a name="id1230907"></a>
<a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.testing">Testing</a>
</h5>
<p>
@@ -324,7 +324,7 @@
</li>
</ul></div>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_ibeta_inv_and_ibetac_inv"></a><h5>
<a name="id1205878"></a>
<a name="id1230963"></a>
<a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_ibeta_inv_and_ibetac_inv">Implementation
of ibeta_inv and ibetac_inv</a>
</h5>
@@ -492,7 +492,7 @@
rapidly converges on the true value.
</p>
<a name="math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_inverses_on_the_a_and_b_parameters"></a><h5>
<a name="id1206506"></a>
<a name="id1232706"></a>
<a class="link" href="ibeta_inv_function.html#math_toolkit.special.sf_beta.ibeta_inv_function.implementation_of_inverses_on_the_a_and_b_parameters">Implementation
of inverses on the a and b parameters</a>
</h5>

View File

@@ -27,7 +27,7 @@
<a name="math_toolkit.special.sf_erf.error_function"></a><a class="link" href="error_function.html" title="Error Functions">Error Functions</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_erf.error_function.synopsis"></a><h5>
<a name="id1207048"></a>
<a name="id1233247"></a>
<a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.synopsis">Synopsis</a>
</h5>
<p>
@@ -63,7 +63,7 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.sf_erf.error_function.description"></a><h5>
<a name="id1209293"></a>
<a name="id1233626"></a>
<a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
@@ -100,7 +100,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/erfc.png" align="middle"></span>
</p>
<a name="math_toolkit.special.sf_erf.error_function.accuracy"></a><h5>
<a name="id1209681"></a>
<a name="id1234014"></a>
<a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.accuracy">Accuracy</a>
</h5>
<p>
@@ -525,7 +525,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.special.sf_erf.error_function.testing"></a><h5>
<a name="id1210384"></a>
<a name="id1235470"></a>
<a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.testing">Testing</a>
</h5>
<p>
@@ -540,7 +540,7 @@
check.
</p>
<a name="math_toolkit.special.sf_erf.error_function.implementation"></a><h5>
<a name="id1210413"></a>
<a name="id1235499"></a>
<a class="link" href="error_function.html#math_toolkit.special.sf_erf.error_function.implementation">Implementation</a>
</h5>
<p>

View File

@@ -28,7 +28,7 @@
Inverses</a>
</h4></div></div></div>
<a name="math_toolkit.special.sf_erf.error_inv.synopsis"></a><h5>
<a name="id1211144"></a>
<a name="id1236229"></a>
<a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.synopsis">Synopsis</a>
</h5>
<p>
@@ -64,7 +64,7 @@
it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
</p>
<a name="math_toolkit.special.sf_erf.error_inv.description"></a><h5>
<a name="id1211560"></a>
<a name="id1236609"></a>
<a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.description">Description</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
@@ -98,7 +98,7 @@
<span class="inlinemediaobject"><img src="../../../../graphs/erfc_inv.png" align="middle"></span>
</p>
<a name="math_toolkit.special.sf_erf.error_inv.accuracy"></a><h5>
<a name="id1211947"></a>
<a name="id1236996"></a>
<a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.accuracy">Accuracy</a>
</h5>
<p>
@@ -108,7 +108,7 @@
error functions</a>.
</p>
<a name="math_toolkit.special.sf_erf.error_inv.testing"></a><h5>
<a name="id1211969"></a>
<a name="id1237018"></a>
<a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.testing">Testing</a>
</h5>
<p>
@@ -131,7 +131,7 @@
</li>
</ul></div>
<a name="math_toolkit.special.sf_erf.error_inv.implementation"></a><h5>
<a name="id1212018"></a>
<a name="id1237067"></a>
<a class="link" href="error_inv.html#math_toolkit.special.sf_erf.error_inv.implementation">Implementation</a>
</h5>
<p>

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