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[CI SKIP]Docs rebuilt with Brian Wignall's typos corrected.
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pabristow committed Dec 18, 2019
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2 changes: 1 addition & 1 deletion doc/html/index.html
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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>
<td align="left"><p><small>Last revised: November 12, 2019 at 09:19:07 GMT</small></p></td>
<td align="left"><p><small>Last revised: December 18, 2019 at 12:08:00 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
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</div>
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id2010205"></a>Function Index</h2></div></div></div>
<a name="id1988591"></a>Function Index</h2></div></div></div>
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</div>
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id2036846"></a>Class Index</h2></div></div></div>
<a name="id2016561"></a>Class Index</h2></div></div></div>
<p><a class="link" href="s02.html#idx_id_36">A</a> <a class="link" href="s02.html#idx_id_37">B</a> <a class="link" href="s02.html#idx_id_38">C</a> <a class="link" href="s02.html#idx_id_39">D</a> <a class="link" href="s02.html#idx_id_40">E</a> <a class="link" href="s02.html#idx_id_41">F</a> <a class="link" href="s02.html#idx_id_42">G</a> <a class="link" href="s02.html#idx_id_43">H</a> <a class="link" href="s02.html#idx_id_44">I</a> <a class="link" href="s02.html#idx_id_47">L</a> <a class="link" href="s02.html#idx_id_48">M</a> <a class="link" href="s02.html#idx_id_49">N</a> <a class="link" href="s02.html#idx_id_50">O</a> <a class="link" href="s02.html#idx_id_51">P</a> <a class="link" href="s02.html#idx_id_52">Q</a> <a class="link" href="s02.html#idx_id_53">R</a> <a class="link" href="s02.html#idx_id_54">S</a> <a class="link" href="s02.html#idx_id_55">T</a> <a class="link" href="s02.html#idx_id_56">U</a> <a class="link" href="s02.html#idx_id_57">V</a> <a class="link" href="s02.html#idx_id_58">W</a></p>
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</div>
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id2040390"></a>Typedef Index</h2></div></div></div>
<a name="id2020528"></a>Typedef Index</h2></div></div></div>
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</div>
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id2043630"></a>Macro Index</h2></div></div></div>
<a name="id2023336"></a>Macro Index</h2></div></div></div>
<p><a class="link" href="s04.html#idx_id_99">B</a> <a class="link" href="s04.html#idx_id_103">F</a></p>
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</div>
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id2047340"></a>Index</h2></div></div></div>
<a name="id2024732"></a>Index</h2></div></div></div>
<p><a class="link" href="s05.html#idx_id_124">1</a> <a class="link" href="s05.html#idx_id_125">2</a> <a class="link" href="s05.html#idx_id_126">4</a> <a class="link" href="s05.html#idx_id_127">5</a> <a class="link" href="s05.html#idx_id_128">7</a> <a class="link" href="s05.html#idx_id_129">A</a> <a class="link" href="s05.html#idx_id_130">B</a> <a class="link" href="s05.html#idx_id_131">C</a> <a class="link" href="s05.html#idx_id_132">D</a> <a class="link" href="s05.html#idx_id_133">E</a> <a class="link" href="s05.html#idx_id_134">F</a> <a class="link" href="s05.html#idx_id_135">G</a> <a class="link" href="s05.html#idx_id_136">H</a> <a class="link" href="s05.html#idx_id_137">I</a> <a class="link" href="s05.html#idx_id_138">J</a> <a class="link" href="s05.html#idx_id_139">K</a> <a class="link" href="s05.html#idx_id_140">L</a> <a class="link" href="s05.html#idx_id_141">M</a> <a class="link" href="s05.html#idx_id_142">N</a> <a class="link" href="s05.html#idx_id_143">O</a> <a class="link" href="s05.html#idx_id_144">P</a> <a class="link" href="s05.html#idx_id_145">Q</a> <a class="link" href="s05.html#idx_id_146">R</a> <a class="link" href="s05.html#idx_id_147">S</a> <a class="link" href="s05.html#idx_id_148">T</a> <a class="link" href="s05.html#idx_id_149">U</a> <a class="link" href="s05.html#idx_id_150">V</a> <a class="link" href="s05.html#idx_id_151">W</a> <a class="link" href="s05.html#idx_id_152">X</a> <a class="link" href="s05.html#idx_id_153">Y</a> <a class="link" href="s05.html#idx_id_154">Z</a></p>
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<a name="math_toolkit.conventions"></a><a class="link" href="conventions.html" title="Document Conventions">Document Conventions</a>
</h2></div></div></div>
<p>
<a class="indexterm" name="id1001945"></a>
<a class="indexterm" name="id981703"></a>
</p>
<p>
This documentation aims to use of the following naming and formatting conventions.
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<span class="special">}}</span> <span class="comment">// namespaces</span>
</pre>
<p>
The logistic distribution is a continuous probability distribution. It has
two parameters - location and scale. The cumulative distribution function
The logistic distribution is a continuous probability distribution. It
has two parameters - location and scale. The cumulative distribution function
of the logistic distribution appears in logistic regression and feedforward
neural networks. Among other applications, United State Chess Federation
and FIDE use it to calculate chess ratings.
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there for <code class="computeroutput"><span class="identifier">a</span> <span class="special">&lt;&lt;</span>
<span class="number">0</span></code>. On the other hand, the simple expedient
of breaking the integral into two domains: (a, 0) and (0, b) and integrating
each separately using the tanh-sinh integrator, works just fine.
each seperately using the tanh-sinh integrator, works just fine.
</p>
<p>
Finally, some endpoint singularities are too strong to be handled by <code class="computeroutput"><span class="identifier">tanh_sinh</span></code> or equivalent methods, for example
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There is an alternative, more complex method, which is applicable when we
are dealing with expressions which can be simplified by evaluating by logs.
Let's suppose that as in this case, all the area under the graph is infinitely
close to zero, now imagine that we could expand that region out over a much
close to zero, now inagine that we could expand that region out over a much
larger range of abscissa values: that's exactly what happens if we perform
argument substitution, replacing <code class="computeroutput"><span class="identifier">x</span></code>
by <code class="computeroutput"><span class="identifier">exp</span><span class="special">(-</span><span class="identifier">x</span><span class="special">)</span></code> (note
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For example, the <code class="computeroutput"><span class="identifier">sinh_sinh</span></code>
quadrature integrates over the entire real line, the <code class="computeroutput"><span class="identifier">tanh_sinh</span></code>
over (-1, 1), and the <code class="computeroutput"><span class="identifier">exp_sinh</span></code>
over (0, &#8734;). The latter integrators also have auxiliary ranges which are
handled via a change of variables on the function being integrated, so that
the <code class="computeroutput"><span class="identifier">tanh_sinh</span></code> can handle
integration over <span class="emphasis"><em>(a, b)</em></span>, and <code class="computeroutput"><span class="identifier">exp_sinh</span></code>
over (0, &#8734;). The latter integrators also have auxiliary ranges which are handled
via a change of variables on the function being integrated, so that the
<code class="computeroutput"><span class="identifier">tanh_sinh</span></code> can handle integration
over <span class="emphasis"><em>(a, b)</em></span>, and <code class="computeroutput"><span class="identifier">exp_sinh</span></code>
over /(a, &#8734;) and(-&#8734;, b)/.
</p>
<p>
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argument first to <code class="computeroutput"><span class="keyword">long</span> <span class="keyword">double</span></code>,
then to <code class="computeroutput"><span class="keyword">double</span></code>, then to <code class="computeroutput"><span class="keyword">float</span></code>; the compilation fails because the result
is ambiguous. However the compiler error message will appear cruelly inscrutable,
at an apparently irelevant line number and making no mention of <code class="computeroutput"><span class="identifier">float128</span></code>: the word <span class="emphasis"><em>ambiguous</em></span>
at an apparently irrelevant line number and making no mention of <code class="computeroutput"><span class="identifier">float128</span></code>: the word <span class="emphasis"><em>ambiguous</em></span>
is the clue to what is wrong.
</p>
<p>
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