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Diffstat (limited to 'libs/math/doc/html/math_toolkit/sf_beta/ibeta_function.html')
| -rw-r--r-- | libs/math/doc/html/math_toolkit/sf_beta/ibeta_function.html | 30 |
1 files changed, 15 insertions, 15 deletions
diff --git a/libs/math/doc/html/math_toolkit/sf_beta/ibeta_function.html b/libs/math/doc/html/math_toolkit/sf_beta/ibeta_function.html index a050e4326..20a3340d5 100644 --- a/libs/math/doc/html/math_toolkit/sf_beta/ibeta_function.html +++ b/libs/math/doc/html/math_toolkit/sf_beta/ibeta_function.html @@ -3,8 +3,8 @@ <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> <title>Incomplete Beta Functions</title> <link rel="stylesheet" href="../../math.css" type="text/css"> -<meta name="generator" content="DocBook XSL Stylesheets V1.78.1"> -<link rel="home" href="../../index.html" title="Math Toolkit 2.1.0"> +<meta name="generator" content="DocBook XSL Stylesheets V1.77.1"> +<link rel="home" href="../../index.html" title="Math Toolkit 2.2.0"> <link rel="up" href="../sf_beta.html" title="Beta Functions"> <link rel="prev" href="beta_function.html" title="Beta"> <link rel="next" href="ibeta_inv_function.html" title="The Incomplete Beta Function Inverses"> @@ -109,10 +109,10 @@ Returns the normalised incomplete beta function of a, b and x: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta3.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta3.svg"></span> </p> <p> - <span class="inlinemediaobject"><img src="../../../graphs/ibeta.png" align="middle"></span> + <span class="inlinemediaobject"><img src="../../../graphs/ibeta.svg" align="middle"></span> </p> <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></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">ibetac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span> @@ -125,7 +125,7 @@ and x: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta4.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta4.svg"></span> </p> <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></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">beta</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span> @@ -137,7 +137,7 @@ Returns the full (non-normalised) incomplete beta function of a, b and x: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta1.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta1.svg"></span> </p> <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">></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">betac</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span> @@ -150,7 +150,7 @@ of a, b and x: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta2.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta2.svg"></span> </p> <h5> <a name="math_toolkit.sf_beta.ibeta_function.h2"></a> @@ -891,7 +891,7 @@ both x and y, and can return either p or q where these are related by: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta_inv5.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta_inv5.svg"></span> </p> <p> so at any point we can swap a for b, x for y and p for q if this results @@ -905,7 +905,7 @@ than the alternatives - however it is used to generate test data: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta5.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta5.svg"></span> </p> <p> The following continued fraction is due to <a href="http://portal.acm.org/citation.cfm?doid=131766.131776" target="_top">Didonato @@ -913,13 +913,13 @@ greater than 1: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta6.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta6.svg"></span> </p> <p> For smallish b and x then a series representation can be used: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta7.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta7.svg"></span> </p> <p> When b << a then the transition from 0 to 1 occurs very close to x @@ -927,7 +927,7 @@ case the following series representation is used: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta8.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta8.svg"></span> </p> <p> @@ -942,17 +942,17 @@ the following finite sum: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta12.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta12.svg"></span> </p> <p> Finally we can sidestep difficult areas, or move to an area with a more efficient means of computation, by using the duplication formulae: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta10.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta10.svg"></span> </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/ibeta11.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/ibeta11.svg"></span> </p> <p> The domains of a, b and x for which the various methods are used are identical |