Imported Upstream version 1.72.0
[platform/upstream/boost.git] / libs / math / doc / html / math_toolkit / airy / airy_root.html
index 1250dd7..2d8f5d6 100644 (file)
@@ -4,7 +4,7 @@
 <title>Finding Zeros of Airy Functions</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="home" href="../../index.html" title="Math Toolkit 2.11.0">
 <link rel="up" href="../airy.html" title="Airy Functions">
 <link rel="prev" href="bip.html" title="Airy Bi' Function">
 <link rel="next" href="../ellint.html" title="Elliptic Integrals">
@@ -65,7 +65,7 @@
                      <span class="identifier">OutputIterator</span> <span class="identifier">out_it</span><span class="special">);</span>    <span class="comment">// Destination for zeros.</span>
 </pre>
 <p>
-        There are also versions which allow control of the <a class="link" href="../../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policies</a>
+        There are also versions which allow control of the <a class="link" href="../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policies</a>
         for error handling and precision.
       </p>
 <pre class="programlisting"> <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
         real axis. The real zeros on the negative real axis can be found by solving
         for the roots of
       </p>
-<p>
-        &#8193; <span class="emphasis"><em>Ai(x<sub>m</sub>) = 0</em></span>
-      </p>
-<p>
-        &#8193; <span class="emphasis"><em>Bi(y<sub>m</sub>) = 0</em></span>
-      </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="emphasis"><em>Ai(x<sub>m</sub>) = 0</em></span>
+        </p></blockquote></div>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="emphasis"><em>Bi(y<sub>m</sub>) = 0</em></span>
+        </p></blockquote></div>
 <p>
         Here, <span class="emphasis"><em>x<sub>m</sub></em></span> represents the <span class="emphasis"><em>m<sup>th</sup></em></span> root
         of the Airy Ai function, and <span class="emphasis"><em>y<sub>m</sub></em></span> represents the <span class="emphasis"><em>m<sup>th</sup></em></span>
 </tr>
 </tbody>
 </table></div>
-<p>
-        <span class="inlinemediaobject"><img src="../../../graphs/airy_zeros.svg" align="middle"></span>
-      </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="inlinemediaobject"><img src="../../../graphs/airy_zeros.svg" align="middle"></span>
+
+        </p></blockquote></div>
 <h5>
 <a name="math_toolkit.airy.airy_root.h2"></a>
         <span class="phrase"><a name="math_toolkit.airy.airy_root.examples_of_finding_airy_zeros"></a></span><a class="link" href="airy_root.html#math_toolkit.airy.airy_root.examples_of_finding_airy_zeros">Examples
                          <span class="identifier">OutputIterator</span> <span class="identifier">out_it</span><span class="special">);</span> <span class="comment">// Destination for zeros.</span>
 </pre>
 <p>
-        There are also versions which allows control of the <a class="link" href="../../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policies</a>
+        There are also versions which allows control of the <a class="link" href="../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policies</a>
         for error handling and precision.
       </p>
 <pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">OutputIterator</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Policy</span><span class="special">&gt;</span>
@@ -427,21 +428,24 @@ airy_ai_zeros:
 <p>
         Given the following function (A&amp;S 10.4.105):
       </p>
-<p>
-        <span class="inlinemediaobject"><img src="../../../equations/airy_zero_1.svg"></span>
-      </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="inlinemediaobject"><img src="../../../equations/airy_zero_1.svg"></span>
+
+        </p></blockquote></div>
 <p>
         Then an initial estimate for the n<sup>th</sup> zero a<sub>n</sub> of Ai is given by (A&amp;S 10.4.94):
       </p>
-<p>
-        <span class="inlinemediaobject"><img src="../../../equations/airy_zero_2.svg"></span>
-      </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="inlinemediaobject"><img src="../../../equations/airy_zero_2.svg"></span>
+
+        </p></blockquote></div>
 <p>
         and an initial estimate for the n<sup>th</sup> zero b<sub>n</sub> of Bi is given by (A&amp;S 10.4.98):
       </p>
-<p>
-        <span class="inlinemediaobject"><img src="../../../equations/airy_zero_3.svg"></span>
-      </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="inlinemediaobject"><img src="../../../equations/airy_zero_3.svg"></span>
+
+        </p></blockquote></div>
 <p>
         Thereafter the roots are refined using Newton iteration.
       </p>