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:
@@ -53,7 +53,7 @@
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Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani and
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Thijs van den Berg</p></div>
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||||
<div><div class="legalnotice">
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||||
<a name="id972770"></a><p>
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<a name="id1004023"></a><p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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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>)
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</p>
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@@ -502,7 +502,7 @@
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</p>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"><p><small>Last revised: January 01, 2011 at 17:05:57 GMT</small></p></td>
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<td align="left"><p><small>Last revised: January 06, 2011 at 16:44:39 GMT</small></p></td>
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<td align="right"><div class="copyright-footer"></div></td>
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</tr></table>
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<hr>
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@@ -24,7 +24,7 @@
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</div>
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<div class="section" lang="en">
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<a name="id1403377"></a>Function Index</h2></div></div></div>
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<a name="id1428570"></a>Function Index</h2></div></div></div>
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<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>
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<div class="variablelist"><dl>
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<dt>
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@@ -24,7 +24,7 @@
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</div>
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<div class="section" lang="en">
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<a name="id1406130"></a>Class Index</h2></div></div></div>
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<a name="id1432416"></a>Class Index</h2></div></div></div>
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<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>
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<div class="variablelist"><dl>
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<dt>
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@@ -24,7 +24,7 @@
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</div>
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<div class="section" lang="en">
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<a name="id1406899"></a>Typedef Index</h2></div></div></div>
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<a name="id1434278"></a>Typedef Index</h2></div></div></div>
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<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>
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<div class="variablelist"><dl>
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<dt>
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@@ -24,7 +24,7 @@
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</div>
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<div class="section" lang="en">
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<a name="id1410638"></a>Macro Index</h2></div></div></div>
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<a name="id1435558"></a>Macro Index</h2></div></div></div>
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<p><a class="link" href="s15.html#idx_id_57">B</a> <a class="link" href="s15.html#idx_id_58">F</a> </p>
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<div class="variablelist"><dl>
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<dt>
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@@ -23,7 +23,7 @@
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</div>
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<div class="section" lang="en">
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<a name="id1411470"></a>Index</h2></div></div></div>
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<a name="id1438302"></a>Index</h2></div></div></div>
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<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>
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<div class="variablelist"><dl>
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<dt>
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@@ -33,7 +33,7 @@
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and reflect more the general implementation philosophy used.
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</p>
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<a name="math_toolkit.backgrounders.implementation.implemention_philosophy"></a><h5>
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<a name="id1392465"></a>
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<a name="id1418031"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.implemention_philosophy">Implemention
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philosophy</a>
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</h5>
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@@ -85,7 +85,7 @@
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These could still provide sufficient accuracy for some speed-critical applications.
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</p>
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<a name="math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values"></a><h5>
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<a name="id1392529"></a>
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<a name="id1418095"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values">Accuracy
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and Representation of Test Values</a>
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</h5>
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@@ -130,7 +130,7 @@
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binary value).
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</p>
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<a name="math_toolkit.backgrounders.implementation.tolerance_of_tests"></a><h5>
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<a name="id1392673"></a>
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<a name="id1418239"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.tolerance_of_tests">Tolerance
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of Tests</a>
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</h5>
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@@ -156,7 +156,7 @@
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first that the suffix L is present, and then that the tolerance is big enough.
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</p>
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<a name="math_toolkit.backgrounders.implementation.handling_unsuitable_arguments"></a><h5>
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<a name="id1392717"></a>
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<a name="id1418283"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_unsuitable_arguments">Handling
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Unsuitable Arguments</a>
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</h5>
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@@ -224,7 +224,7 @@
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</p></td></tr>
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</table></div>
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<a name="math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined"></a><h5>
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<a name="id1392849"></a>
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<a name="id1418415"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined">Handling
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of Functions that are Not Mathematically defined</a>
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</h5>
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@@ -258,7 +258,7 @@
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</p></td></tr>
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</table></div>
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<a name="math_toolkit.backgrounders.implementation.median_of_distributions"></a><h5>
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<a name="id1394769"></a>
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<a name="id1418500"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.median_of_distributions">Median
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of distributions</a>
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</h5>
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@@ -293,7 +293,7 @@
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Basic Statistics.</a> give more detail, in particular for discrete distributions.
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</p>
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<a name="math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity"></a><h5>
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<a name="id1394892"></a>
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<a name="id1418623"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
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of Floating-Point Infinity</a>
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</h5>
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@@ -337,7 +337,7 @@
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handling policies</a>.
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</p>
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<a name="math_toolkit.backgrounders.implementation.scale__shape_and_location"></a><h5>
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<a name="id1394980"></a>
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<a name="id1418711"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.scale__shape_and_location">Scale,
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Shape and Location</a>
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</h5>
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@@ -364,7 +364,7 @@
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functions, they can be added if required.
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</p>
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<a name="math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions"></a><h5>
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<a name="id1395315"></a>
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<a name="id1419046"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions">Notes
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||||
on Implementation of Specific Functions & Distributions</a>
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</h5>
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@@ -376,7 +376,7 @@
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lower = -1, mode = 0 and upper = 1 would be more suitable.
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</li></ul></div>
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<a name="math_toolkit.backgrounders.implementation.rational_approximations_used"></a><h5>
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<a name="id1395339"></a>
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<a name="id1419070"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">Rational
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Approximations Used</a>
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</h5>
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@@ -419,7 +419,7 @@
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to the "true" minimax solution.
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</p>
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<a name="math_toolkit.backgrounders.implementation.representation_of_mathematical_constants"></a><h5>
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<a name="id1395384"></a>
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<a name="id1419115"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.representation_of_mathematical_constants">Representation
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of Mathematical Constants</a>
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</h5>
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@@ -480,7 +480,7 @@
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</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
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</span></pre>
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<a name="math_toolkit.backgrounders.implementation.thread_safety"></a><h5>
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<a name="id1395771"></a>
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<a name="id1419502"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.thread_safety">Thread
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safety</a>
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</h5>
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@@ -505,7 +505,7 @@
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the right thing here at some point.
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</p>
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<a name="math_toolkit.backgrounders.implementation.sources_of_test_data"></a><h5>
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<a name="id1395807"></a>
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<a name="id1419538"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.sources_of_test_data">Sources
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||||
of Test Data</a>
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</h5>
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@@ -546,7 +546,7 @@
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the underlying special function is known to be difficult to implement.
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</p>
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<a name="math_toolkit.backgrounders.implementation.creating_and_managing_the_equations"></a><h5>
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<a name="id1395877"></a>
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<a name="id1421103"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.creating_and_managing_the_equations">Creating
|
||||
and Managing the Equations</a>
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</h5>
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@@ -731,7 +731,7 @@ done</pre>
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HTML: this needs further investigation.
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</p>
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<a name="math_toolkit.backgrounders.implementation.producing_graphs"></a><h5>
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<a name="id1396132"></a>
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<a name="id1421359"></a>
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<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.producing_graphs">Producing
|
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Graphs</a>
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</h5>
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@@ -27,7 +27,7 @@
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<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>
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||||
<a name="math_toolkit.backgrounders.lanczos.motivation"></a><h5>
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<a name="id1396462"></a>
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<a name="id1421689"></a>
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||||
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.motivation">Motivation</a>
|
||||
</h5>
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||||
<p>
|
||||
@@ -99,7 +99,7 @@
|
||||
functions divided by large powers into single (simpler) expressions.
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||||
</p>
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<a name="math_toolkit.backgrounders.lanczos.the_approximation"></a><h5>
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<a name="id1396718"></a>
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<a name="id1421945"></a>
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<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.the_approximation">The
|
||||
Approximation</a>
|
||||
</h5>
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||||
@@ -161,7 +161,7 @@
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</p></td></tr>
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||||
</table></div>
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<a name="math_toolkit.backgrounders.lanczos.computing_the_coefficients"></a><h5>
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<a name="id1397652"></a>
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<a name="id1422137"></a>
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<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.computing_the_coefficients">Computing
|
||||
the Coefficients</a>
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</h5>
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@@ -205,7 +205,7 @@
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multiplied by <span class="emphasis"><em>F</em></span> as the last step.
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||||
</p>
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||||
<a name="math_toolkit.backgrounders.lanczos.choosing_the_right_parameters"></a><h5>
|
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<a name="id1397809"></a>
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<a name="id1422294"></a>
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||||
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.choosing_the_right_parameters">Choosing
|
||||
the Right Parameters</a>
|
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</h5>
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@@ -535,7 +535,7 @@
|
||||
is exact, and so isn't used for the gamma function.
|
||||
</p>
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||||
<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 @@
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||||
<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>
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<a name="id1399268"></a>
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<a name="id1424367"></a>
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||||
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.general_references">General
|
||||
references</a>
|
||||
</h5>
|
||||
@@ -85,7 +85,7 @@
|
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Library (version 2), Walter E. Brown</a>
|
||||
</p>
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||||
<a name="math_toolkit.backgrounders.refs.calculators"></a><h5>
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<a name="id1399351"></a>
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<a name="id1424450"></a>
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||||
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.calculators">Calculators</a>
|
||||
</h5>
|
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<p>
|
||||
@@ -107,7 +107,7 @@
|
||||
Binomial Probability Distribution Calculator.
|
||||
</p>
|
||||
<a name="math_toolkit.backgrounders.refs.other_libraries"></a><h5>
|
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<a name="id1399395"></a>
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||||
<a name="id1424494"></a>
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||||
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.other_libraries">Other Libraries</a>
|
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</h5>
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<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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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">
|
||||
|
||||
@@ -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 β   that gives: <code class="computeroutput"><span class="identifier">cdf</span><span class="special">(</span><span class="identifier">beta_distribution</span><span class="special"><</span><span class="identifier">RealType</span><span class="special">>(</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>
|
||||
|
||||
@@ -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">
|
||||
|
||||
@@ -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">
|
||||
|
||||
@@ -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, +∞].
|
||||
</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">
|
||||
|
||||
@@ -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, +∞].
|
||||
</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">
|
||||
|
||||
@@ -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 [-∞, +∞].
|
||||
</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>
|
||||
|
||||
@@ -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, +∞].
|
||||
</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>
|
||||
|
||||
@@ -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,+∞].
|
||||
</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>
|
||||
|
||||
@@ -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 <= p <= 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>
|
||||
|
||||
@@ -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 >= 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>
|
||||
|
||||
@@ -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 ξ 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">
|
||||
|
||||
@@ -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 β 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 @@
|
||||
>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>
|
||||
|
||||
@@ -146,7 +146,7 @@
|
||||
the __wald_distrib (where mean μ 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 λ 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, >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">
|
||||
|
||||
@@ -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 [-∞,+∞].
|
||||
</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">
|
||||
|
||||
@@ -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">
|
||||
|
||||
@@ -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,+∞].
|
||||
</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>
|
||||
|
||||
@@ -96,7 +96,7 @@ is a central χ<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 χ<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 χ<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 χ<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 χ<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>
|
||||
|
||||
@@ -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, +∞].
|
||||
</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>
|
||||
|
||||
@@ -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, +∞].
|
||||
</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>
|
||||
|
||||
@@ -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 [-∞, +∞].
|
||||
</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>
|
||||
|
||||
@@ -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"><=</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 <= p <= 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>
|
||||
|
||||
@@ -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 -∞ = 1 and +∞ = 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>
|
||||
|
||||
@@ -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, ∞].
|
||||
</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">
|
||||
|
||||
@@ -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, ∞].
|
||||
</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>
|
||||
|
||||
@@ -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">
|
||||
|
||||
@@ -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 [-∞, +∞].
|
||||
</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>
|
||||
|
||||
@@ -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 <= x <= 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">
|
||||
|
||||
@@ -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> <= x <= <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">
|
||||
|
||||
@@ -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 & 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, ∞].
|
||||
</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">
|
||||
|
||||
@@ -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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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"><</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">></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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -246,7 +246,7 @@ error C3861: 'mybetad0': identifier not found
|
||||
<pre class="programlisting"><span class="identifier">negative_binomial_distribution</span><span class="special"><</span><span class="identifier">MyFPType</span><span class="special">></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 -> 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>
|
||||
|
||||
@@ -138,7 +138,7 @@ Normal distribution with mean = 0, standard deviation 1, has fraction > -2, p
|
||||
Normal distribution with mean = 1.09023 has fraction > -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -137,7 +137,7 @@ Normal distribution with mean = 0 has fraction > -2, p = 0.97725
|
||||
Normal distribution with mean = 0 has fraction > -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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">
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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">
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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.
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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"><</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">></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">&);</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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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"><</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">></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">&);</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>
|
||||
|
||||
@@ -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"><</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">></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">&);</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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>Π(n, φ+mπ, k) = Π(n, φ, k) + 2mΠ(n, k) ; n <= 1</em></span>
|
||||
</p>
|
||||
<p>
|
||||
<span class="emphasis"><em>Π(n, φ+mπ, k) = Π(n, φ, k) ; n > 1</em></span> <sup>[<a name="id1242364" href="#ftn.id1242364" class="footnote">1</a>]</sup>
|
||||
<span class="emphasis"><em>Π(n, φ+mπ, k) = Π(n, φ, k) ; n > 1</em></span> <sup>[<a name="id1268958" href="#ftn.id1268958" class="footnote">1</a>]</sup>
|
||||
</p>
|
||||
<p>
|
||||
are used to move φ   to the range [0, π/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 * Π(n, k)</em></span> terms cancel out as the
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></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
|
||||
|
||||
@@ -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"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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"><-</span><span class="number">5</span><span class="special">>(</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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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>
|
||||
|
||||
@@ -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"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></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>
|
||||
|
||||
@@ -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"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></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>
|
||||
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user