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Subject: [Boost-commit] svn:boost r78037 - trunk/libs/math/doc/sf_and_dist/equations
From: pbristow_at_[hidden]
Date: 2012-04-17 05:58:31

Author: pbristow
Date: 2012-04-17 05:58:29 EDT (Tue, 17 Apr 2012)
New Revision: 78037
URL: http://svn.boost.org/trac/boost/changeset/78037

Log:
add mml for equations for skewnormal and owens
Added:
   trunk/libs/math/doc/sf_and_dist/equations/normal01_cdf.mml (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/equations/normal01_pdf.mml (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/equations/normal_cdf.mml (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/equations/skew_normal_cdf.mml (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/equations/skew_normal_kurt_ex.mml (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/equations/skew_normal_mean.mml (contents, props changed)
   trunk/libs/math/doc/sf_and_dist/equations/skew_normal_skewness.mml (contents, props changed)

Added: trunk/libs/math/doc/sf_and_dist/equations/normal01_cdf.mml
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/equations/normal01_cdf.mml 2012-04-17 05:58:29 EDT (Tue, 17 Apr 2012)
@@ -0,0 +1,62 @@
+<?xml version='1.0'?>
+<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
+ 'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
+ [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
+<html xmlns='http://www.w3.org/1999/xhtml'>
+<head><title>normal_cdf</title>
+<!-- MathML created with MathCast Equation Editor version 0.9 -->
+</head>
+<body>
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mi>&#x3A6;</mi>
+ <mfenced>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </mfenced>
+ <mo>=</mo>
+ <msubsup>
+ <mo>&#x222B;</mo>
+ <mrow>
+ <mo>&#x2212;</mo>
+ <mi>&#x221E;</mi>
+ </mrow>
+ <mi>x</mi>
+ </msubsup>
+ <mi>&#x3C6;</mi>
+ <mfenced>
+ <mrow>
+ <mi>t</mi>
+ </mrow>
+ </mfenced>
+ <mi>d</mi>
+ <mi>t</mi>
+ <mspace width="1em"/>
+ <mo>=</mo>
+ <mspace width="1em"/>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>[</mo>
+ <mn>1</mn>
+ <mo>+</mo>
+ <mi>e</mi>
+ <mi>r</mi>
+ <mi>f</mi>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mi>x</mi>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ <mo>]</mo>
+ </mrow>
+</math>
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/equations/normal01_pdf.mml
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/equations/normal01_pdf.mml 2012-04-17 05:58:29 EDT (Tue, 17 Apr 2012)
@@ -0,0 +1,45 @@
+<?xml version='1.0'?>
+<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
+ 'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
+ [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
+<html xmlns='http://www.w3.org/1999/xhtml'>
+<head><title>skew_normal_pdf</title>
+<!-- MathML created with MathCast Equation Editor version 0.9 -->
+</head>
+<body>
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mi>&#x3C6;</mi>
+ <mfenced>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </mfenced>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msqrt>
+ <mfenced>
+ <mrow>
+ <mn>2</mn>
+ <mi>&#x3C0;</mi>
+ </mrow>
+ </mfenced>
+ </msqrt>
+ </mfrac>
+ <msup>
+ <mi>e</mi>
+ <mo>&#x2212;</mo>
+ </msup>
+ <mfrac>
+ <msup>
+ <mi>x</mi>
+ <mn>2</mn>
+ </msup>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+</math>
+
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/equations/normal_cdf.mml
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/equations/normal_cdf.mml 2012-04-17 05:58:29 EDT (Tue, 17 Apr 2012)
@@ -0,0 +1,50 @@
+<?xml version='1.0'?>
+<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
+ 'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
+ [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
+<html xmlns='http://www.w3.org/1999/xhtml'>
+<head><title>normal_cdf</title>
+<!-- MathML created with MathCast Equation Editor version 0.9 -->
+</head>
+<body>
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>{</mo>
+ <mn>1</mn>
+ <mo>+</mo>
+ <mi>e</mi>
+ <mi>r</mi>
+ <mi>f</mi>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mfenced>
+ <mrow>
+ <mi>x</mi>
+ <mo>&#x2212;</mo>
+ <mi>&#x3BC;</mi>
+ </mrow>
+ </mfenced>
+ <msqrt>
+ <mfenced>
+ <mrow>
+ <mn>2</mn>
+ <msup>
+ <mi>&#x3C3;</mi>
+ <mn>2</mn>
+ </msup>
+ </mrow>
+ </mfenced>
+ </msqrt>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ <mo>]</mo>
+ </mrow>
+</math>
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/equations/skew_normal_cdf.mml
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/equations/skew_normal_cdf.mml 2012-04-17 05:58:29 EDT (Tue, 17 Apr 2012)
@@ -0,0 +1,56 @@
+<?xml version='1.0'?>
+<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
+ 'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
+ [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
+<html xmlns='http://www.w3.org/1999/xhtml'>
+<head><title>skew_normal_cdf</title>
+<!-- MathML created with MathCast Equation Editor version 0.9 -->
+</head>
+<body>
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mi>&#x3A6;</mi>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mfenced>
+ <mrow>
+ <mi>x</mi>
+ <mo>&#x2212;</mo>
+ <mi>&#x3BE;</mi>
+ </mrow>
+ </mfenced>
+ <mi>&#x3C9;</mi>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ <mo>&#x2212;</mo>
+ <mn>2</mn>
+ <mi>T</mi>
+ <mfenced>
+ <mrow>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mfenced>
+ <mrow>
+ <mi>x</mi>
+ <mo>&#x2212;</mo>
+ <mi>&#x3BE;</mi>
+ </mrow>
+ </mfenced>
+ <mi>&#x3C9;</mi>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ <mo>,</mo>
+ <mi>&#x3B1;</mi>
+ </mrow>
+ </mfenced>
+ </mrow>
+</math>
+
+
+
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/equations/skew_normal_kurt_ex.mml
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/equations/skew_normal_kurt_ex.mml 2012-04-17 05:58:29 EDT (Tue, 17 Apr 2012)
@@ -0,0 +1,62 @@
+<?xml version='1.0'?>
+<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
+ 'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
+ [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
+<html xmlns='http://www.w3.org/1999/xhtml'>
+<head><title>skew_normal_kurt_ex</title>
+<!-- MathML created with MathCast Equation Editor version 0.9 -->
+</head>
+<body>
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mn>2</mn>
+ <mfenced>
+ <mrow>
+ <mi>&#x3C0;</mi>
+ <mo>&#x2212;</mo>
+ <mn>3</mn>
+ </mrow>
+ </mfenced>
+ <mspace width="1em"/>
+ <mfrac>
+ <msup>
+ <mfenced>
+ <mrow>
+ <mi>&#x3B4;</mi>
+ <msqrt>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mn>2</mn>
+ <mi>&#x3C0;</mi>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ </msqrt>
+ </mrow>
+ </mfenced>
+ <mn>4</mn>
+ </msup>
+ <msup>
+ <mfenced>
+ <mrow>
+ <mn>1</mn>
+ <mo>&#x2212;</mo>
+ <mn>2</mn>
+ <mfrac>
+ <msup>
+ <mi>&#x3B4;</mi>
+ <mn>2</mn>
+ </msup>
+ <mi>&#x3C0;</mi>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ <mn>2</mn>
+ </msup>
+ </mfrac>
+ </mrow>
+</math>
+
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/equations/skew_normal_mean.mml
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/equations/skew_normal_mean.mml 2012-04-17 05:58:29 EDT (Tue, 17 Apr 2012)
@@ -0,0 +1,53 @@
+<?xml version='1.0'?>
+<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
+ 'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
+ [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
+<html xmlns='http://www.w3.org/1999/xhtml'>
+<head><title>skew_normal_mean</title>
+<!-- MathML created with MathCast Equation Editor version 0.9 -->
+</head>
+<body>
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mi>&#x3BE;</mi>
+ <mo>+</mo>
+ <mi>&#x3C9;</mi>
+ <mi>&#x3B4;</mi>
+ <msqrt>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mn>2</mn>
+ <mi>&#x3C0;</mi>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ </msqrt>
+ <mspace width="1em"/>
+ <mi>w</mi>
+ <mi>h</mi>
+ <mi>e</mi>
+ <mi>r</mi>
+ <mi>e</mi>
+ <mspace width="1em"/>
+ <mi>&#x3B4;</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>&#x3B1;</mi>
+ <msqrt>
+ <mfenced>
+ <mrow>
+ <mn>1</mn>
+ <mo>+</mo>
+ <msup>
+ <mi>&#x3B1;</mi>
+ <mn>2</mn>
+ </msup>
+ </mrow>
+ </mfenced>
+ </msqrt>
+ </mfrac>
+ </mrow>
+</math>
+</body>
+</html>

Added: trunk/libs/math/doc/sf_and_dist/equations/skew_normal_skewness.mml
==============================================================================
--- (empty file)
+++ trunk/libs/math/doc/sf_and_dist/equations/skew_normal_skewness.mml 2012-04-17 05:58:29 EDT (Tue, 17 Apr 2012)
@@ -0,0 +1,71 @@
+<?xml version='1.0'?>
+<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
+ 'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
+ [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
+<html xmlns='http://www.w3.org/1999/xhtml'>
+<head><title>skew_normal_skewness</title>
+<!-- MathML created with MathCast Equation Editor version 0.9 -->
+</head>
+<body>
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mfrac>
+ <mfenced>
+ <mrow>
+ <mn>4</mn>
+ <mo>&#x2212;</mo>
+ <mi>&#x3C0;</mi>
+ </mrow>
+ </mfenced>
+ <mn>2</mn>
+ </mfrac>
+ <mspace width="1em"/>
+ <mfrac>
+ <msup>
+ <mfenced>
+ <mrow>
+ <mi>&#x3B4;</mi>
+ <msqrt>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mn>2</mn>
+ <mi>&#x3C0;</mi>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ </msqrt>
+ </mrow>
+ </mfenced>
+ <mn>3</mn>
+ </msup>
+ <msup>
+ <mfenced>
+ <mrow>
+ <mn>1</mn>
+ <mo>&#x2212;</mo>
+ <mn>2</mn>
+ <mfrac>
+ <msup>
+ <mi>&#x3B4;</mi>
+ <mn>2</mn>
+ </msup>
+ <mi>&#x3C0;</mi>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ </msup>
+ </mfrac>
+ </mrow>
+</math>
+
+</body>
+</html>

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