Imported Upstream version 1.72.0
[platform/upstream/boost.git] / libs / math / doc / html / math_toolkit / dist_ref / dists / normal_dist.html
index 34ff132..41971cc 100644 (file)
@@ -4,7 +4,7 @@
 <title>Normal (Gaussian) Distribution</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="../dists.html" title="Distributions">
 <link rel="prev" href="nc_t_dist.html" title="Noncentral T Distribution">
 <link rel="next" href="pareto.html" title="Pareto Distribution">
 <pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
 
 <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</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">=</span> <a class="link" href="../../pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy&lt;&gt;</a> <span class="special">&gt;</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">=</span> <a class="link" href="../../pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy&lt;&gt;</a> <span class="special">&gt;</span>
 <span class="keyword">class</span> <span class="identifier">normal_distribution</span><span class="special">;</span>
 
 <span class="keyword">typedef</span> <span class="identifier">normal_distribution</span><span class="special">&lt;&gt;</span> <span class="identifier">normal</span><span class="special">;</span>
 
-<span class="keyword">template</span> <span class="special">&lt;</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="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
+<span class="keyword">template</span> <span class="special">&lt;</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="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
 <span class="keyword">class</span> <span class="identifier">normal_distribution</span>
 <span class="special">{</span>
 <span class="keyword">public</span><span class="special">:</span>
           Normal Distribution</em></span>.
         </p>
 <p>
-          Given mean &#956; &#160;and standard deviation &#963; &#160;it has the PDF:
-        </p>
-<p>
-          &#160;   <span class="inlinemediaobject"><img src="../../../../equations/normal_ref1.svg"></span>
+          Given mean &#956; and standard deviation &#963; it has the PDF:
         </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="inlinemediaobject"><img src="../../../../equations/normal_ref1.svg"></span>
+
+          </p></blockquote></div>
 <p>
           The variation the PDF with its parameters is illustrated in the following
           graph:
         </p>
-<p>
-          <span class="inlinemediaobject"><img src="../../../../graphs/normal_pdf.svg" align="middle"></span>
-        </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="inlinemediaobject"><img src="../../../../graphs/normal_pdf.svg" align="middle"></span>
+
+          </p></blockquote></div>
 <p>
           The cumulative distribution function is given by
         </p>
-<p>
-          &#160;   <span class="inlinemediaobject"><img src="../../../../equations/normal_cdf.svg"></span>
-        </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="inlinemediaobject"><img src="../../../../equations/normal_cdf.svg"></span>
+
+          </p></blockquote></div>
 <p>
           and illustrated by this graph
         </p>
-<p>
-          <span class="inlinemediaobject"><img src="../../../../graphs/normal_cdf.svg" align="middle"></span>
-        </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="inlinemediaobject"><img src="../../../../graphs/normal_cdf.svg" align="middle"></span>
+
+          </p></blockquote></div>
 <h5>
 <a name="math_toolkit.dist_ref.dists.normal_dist.h0"></a>
           <span class="phrase"><a name="math_toolkit.dist_ref.dists.normal_dist.member_functions"></a></span><a class="link" href="normal_dist.html#math_toolkit.dist_ref.dists.normal_dist.member_functions">Member
           standard deviation <span class="emphasis"><em>sd</em></span>.
         </p>
 <p>
-          Requires sd &gt; 0, otherwise <a class="link" href="../../error_handling.html#math_toolkit.error_handling.domain_error">domain_error</a>
+          Requires <span class="emphasis"><em>sd</em></span> &gt; 0, otherwise <a class="link" href="../../error_handling.html#math_toolkit.error_handling.domain_error">domain_error</a>
           is called.
         </p>
 <pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">mean</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
           <span class="phrase"><a name="math_toolkit.dist_ref.dists.normal_dist.accuracy"></a></span><a class="link" href="normal_dist.html#math_toolkit.dist_ref.dists.normal_dist.accuracy">Accuracy</a>
         </h5>
 <p>
-          The normal distribution is implemented in terms of the <a class="link" href="../../sf_erf/error_function.html" title="Error Functions">error
+          The normal distribution is implemented in terms of the <a class="link" href="../../sf_erf/error_function.html" title="Error Function erf and complement erfc">error
           function</a>, and as such should have very low error rates.
         </p>
 <h5>
                 </td>
 <td>
                   <p>
-                    Using the relation: p = 0.5 * <a class="link" href="../../sf_erf/error_function.html" title="Error Functions">erfc</a>(-(x-m)/(s*sqrt(2)))
+                    Using the relation: p = 0.5 * <a class="link" href="../../sf_erf/error_function.html" title="Error Function erf and complement erfc">erfc</a>(-(x-m)/(s*sqrt(2)))
                   </p>
                 </td>
 </tr>
                 </td>
 <td>
                   <p>
-                    Using the relation: q = 0.5 * <a class="link" href="../../sf_erf/error_function.html" title="Error Functions">erfc</a>((x-m)/(s*sqrt(2)))
+                    Using the relation: q = 0.5 * <a class="link" href="../../sf_erf/error_function.html" title="Error Function erf and complement erfc">erfc</a>((x-m)/(s*sqrt(2)))
                   </p>
                 </td>
 </tr>