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@@ -1,13 +1,13 @@
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@@ -20,7 +20,7 @@
 </tr></table>
 <hr>
 <div class="spirit-nav">
-<a accesskey="p" href="inv_hyper/atanh.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../special.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../extern_c.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a>
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 <div class="titlepage"><div><div><h2 class="title" style="clear: both">
@@ -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;18.&#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;18.&#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 21. 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 21. 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;18.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can
+      The final <a class="link" href="../policy.html" title="Chapter 21. 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;18.&#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 21. 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>
+         
     </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>
@@ -97,20 +102,20 @@
       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) = ½π 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) = ½ 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, ∞) = G(|h|)</em></span></span>
       </p></blockquote></div>
 <p>
       where G(h) is the univariate normal with zero mean and unit variance integral
-      from -&#8734; to h.
+      from -∞ to h.
     </p>
 <h5>
 <a name="math_toolkit.owens_t.h2"></a>
@@ -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;6.83.&#160;Error rates for owens_t</b></p>
+<a name="math_toolkit.owens_t.table_owens_t"></a><p class="title"><b>Table 8.86. Error rates for owens_t</b></p>
 <div class="table-contents"><table class="table" summary="Error rates for owens_t">
 <colgroup>
 <col>
@@ -134,22 +139,22 @@
             </th>
 <th>
               <p>
-                Microsoft Visual C++ version 12.0<br> Win32<br> double
+                GNU C++ version 7.1.0<br> linux<br> double
               </p>
             </th>
 <th>
               <p>
-                GNU C++ version 5.1.0<br> linux<br> double
+                GNU C++ version 7.1.0<br> linux<br> long double
               </p>
             </th>
 <th>
               <p>
-                GNU C++ version 5.1.0<br> linux<br> long double
+                Sun compiler version 0x5150<br> Sun Solaris<br> long double
               </p>
             </th>
 <th>
               <p>
-                Sun compiler version 0x5130<br> Sun Solaris<br> long double
+                Microsoft Visual C++ version 14.1<br> Win32<br> double
               </p>
             </th>
 </tr></thead>
@@ -162,22 +167,22 @@
             </td>
 <td>
               <p>
-                <span class="blue">Max = 4.37&#949; (Mean = 0.973&#949;)</span>
+                <span class="blue">Max = 0ε (Mean = 0ε)</span>
               </p>
             </td>
 <td>
               <p>
-                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+                <span class="blue">Max = 3.34ε (Mean = 0.944ε)</span>
               </p>
             </td>
 <td>
               <p>
-                <span class="blue">Max = 3.34&#949; (Mean = 0.942&#949;)</span>
+                <span class="blue">Max = 3.34ε (Mean = 0.911ε)</span>
               </p>
             </td>
 <td>
               <p>
-                <span class="blue">Max = 3.34&#949; (Mean = 0.91&#949;)</span>
+                <span class="blue">Max = 4.37ε (Mean = 0.98ε)</span>
               </p>
             </td>
 </tr>
@@ -189,22 +194,22 @@
             </td>
 <td>
               <p>
-                <span class="blue">Max = 3.78&#949; (Mean = 0.621&#949;)</span>
+                <span class="blue">Max = 0ε (Mean = 0ε)</span>
               </p>
             </td>
 <td>
               <p>
-                <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
+                <span class="blue">Max = 49ε (Mean = 2.16ε)</span>
               </p>
             </td>
 <td>
               <p>
-                <span class="blue">Max = 49&#949; (Mean = 2.16&#949;)</span>
+                <span class="blue">Max = 24.5ε (Mean = 1.39ε)</span>
               </p>
             </td>
 <td>
               <p>
-                <span class="blue">Max = 24.5&#949; (Mean = 1.38&#949;)</span>
+                <span class="blue">Max = 3.78ε (Mean = 0.621ε)</span>
               </p>
             </td>
 </tr>
@@ -258,7 +263,7 @@
       (2000) are adapted for C++ with arbitrary RealType.
     </p>
 <p>
-      The Patefield-Tandy algorithm provides six methods of evalualution (T1 to T6);
+      The Patefield-Tandy algorithm provides six methods of evaluation (T1 to T6);
       the best method is selected according to the values of <span class="emphasis"><em>a</em></span>
       and <span class="emphasis"><em>h</em></span>. See the original paper and the source in <a href="../../../../../boost/math/special_functions/owens_t.hpp" target="_top">owens_t.hpp</a>
       for details.
@@ -301,11 +306,11 @@
 </div>
 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 <td align="left"></td>
-<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012-2014, 2017 Nikhar
-      Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
-      Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan R&#229;de, Gautam
-      Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, Daryle Walker
-      and Xiaogang Zhang<p>
+<td align="right"><div class="copyright-footer">Copyright © 2006-2021 Nikhar Agrawal, Anton Bikineev, Matthew Borland,
+      Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert Holin, Bruno
+      Lalande, John Maddock, Evan Miller, Jeremy Murphy, Matthew Pulver, Johan Råde,
+      Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, Daryle
+      Walker and Xiaogang Zhang<p>
         Distributed under the Boost Software License, Version 1.0. (See accompanying
         file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
       </p>
@@ -313,7 +318,7 @@
 </tr></table>
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