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Imported Upstream version 1.72.0
[platform/upstream/boost.git] / libs / math / doc / html / math_toolkit / owens_t.html
diff --git a/libs/math/doc/html/math_toolkit/owens_t.html b/libs/math/doc/html/math_toolkit/owens_t.html
index 67eca20..46b52f7 100644 (file)
--- a/libs/math/doc/html/math_toolkit/owens_t.html
+++ b/libs/math/doc/html/math_toolkit/owens_t.html
@@ -4,10 +4,10 @@
 <title>Owen's T function</title>
 <link rel="stylesheet" href="../math.css" type="text/css">
 <meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
-<link rel="home" href="../index.html" title="Math Toolkit 2.10.0">
-<link rel="up" href="../special.html" title="Chapter&#160;7.&#160;Special Functions">
+<link rel="home" href="../index.html" title="Math Toolkit 2.11.0">
+<link rel="up" href="../special.html" title="Chapter&#160;8.&#160;Special Functions">
 <link rel="prev" href="inv_hyper/atanh.html" title="atanh">
-<link rel="next" href="../extern_c.html" title='Chapter&#160;8.&#160;TR1 and C99 external "C" Functions'>
+<link rel="next" href="../extern_c.html" title='Chapter&#160;9.&#160;TR1 and C99 external "C" Functions'>
 </head>
 <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
 <table cellpadding="2" width="100%"><tr>
@@ -37,8 +37,8 @@
 <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
 <a class="link" href="result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">owens_t</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">h</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">a</span><span class="special">);</span>
 
-<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
-<a class="link" href="result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">owens_t</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">h</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">a</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
+<a class="link" href="result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">owens_t</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">h</span><span class="special">,</span> <span class="identifier">T</span> <span class="identifier">a</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;);</span>
 
 <span class="special">}}</span> <span class="comment">// namespaces</span>
 </pre>
@@ -51,14 +51,18 @@
       function</a> of <span class="emphasis"><em>h</em></span> and <span class="emphasis"><em>a</em></span>.
     </p>
 <p>
-      The final <a class="link" href="../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can
+      The final <a class="link" href="../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can
       be used to control the behaviour of the function: how it handles errors, what
-      level of precision to use etc. Refer to the <a class="link" href="../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">policy documentation
+      level of precision to use etc. Refer to the <a class="link" href="../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">policy documentation
       for more details</a>.
     </p>
 <p>
-      &#8198; &#8198;  <span class="inlinemediaobject"><img src="../../equations/owens_t.svg"></span>
+      &#8198; &#8198;
     </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+        <span class="inlinemediaobject"><img src="../../equations/owens_t.svg"></span>
+
+      </p></blockquote></div>
 <p>
       <span class="inlinemediaobject"><img src="../../graphs/plot_owens_t.png"></span>
     </p>
@@ -76,9 +80,10 @@
 <p>
       That is the area shaded in the figure below (Owens 1956).
     </p>
-<p>
-      <span class="inlinemediaobject"><img src="../../graphs/owens_integration_area.svg" align="middle"></span>
-    </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+        <span class="inlinemediaobject"><img src="../../graphs/owens_integration_area.svg" align="middle"></span>
+
+      </p></blockquote></div>
 <p>
       and is also illustrated by a 3D plot.
     </p>
@@ -97,16 +102,16 @@
       Owen's original paper (page 1077) provides some additional corner cases.
     </p>
 <div class="blockquote"><blockquote class="blockquote"><p>
-        <span class="emphasis"><em>T(h, 0) = 0</em></span>
+        <span class="serif_italic"><span class="emphasis"><em>T(h, 0) = 0</em></span></span>
       </p></blockquote></div>
 <div class="blockquote"><blockquote class="blockquote"><p>
-        <span class="emphasis"><em>T(0, a) = &#189;&#960; arctan(a)</em></span>
+        <span class="serif_italic"><span class="emphasis"><em>T(0, a) = &#189;&#960; arctan(a)</em></span></span>
       </p></blockquote></div>
 <div class="blockquote"><blockquote class="blockquote"><p>
-        <span class="emphasis"><em>T(h, 1) = &#189; G(h) [1 - G(h)]</em></span>
+        <span class="serif_italic"><span class="emphasis"><em>T(h, 1) = &#189; G(h) [1 - G(h)]</em></span></span>
       </p></blockquote></div>
 <div class="blockquote"><blockquote class="blockquote"><p>
-        <span class="emphasis"><em>T(h, &#8734;) = G(|h|)</em></span>
+        <span class="serif_italic"><span class="emphasis"><em>T(h, &#8734;) = G(|h|)</em></span></span>
       </p></blockquote></div>
 <p>
       where G(h) is the univariate normal with zero mean and unit variance integral
@@ -120,7 +125,7 @@
       Over the built-in types and range tested, errors are less than 10 * std::numeric_limits&lt;RealType&gt;::epsilon().
     </p>
 <div class="table">
-<a name="math_toolkit.owens_t.table_owens_t"></a><p class="title"><b>Table&#160;7.86.&#160;Error rates for owens_t</b></p>
+<a name="math_toolkit.owens_t.table_owens_t"></a><p class="title"><b>Table&#160;8.86.&#160;Error rates for owens_t</b></p>
 <div class="table-contents"><table class="table" summary="Error rates for owens_t">
 <colgroup>
 <col>
Domain: System / Base;