From: john_at_[hidden]
Date: 2007-09-27 05:30:52
Author: johnmaddock
Date: 2007-09-27 05:30:51 EDT (Thu, 27 Sep 2007)
New Revision: 39571
URL: http://svn.boost.org/trac/boost/changeset/39571
Log:
Fixed lgamma equations, added mml equations for the Hubert Holin's old docs.
Added:
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb1.mml (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb1.png (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb1.svg (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb15.mml (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb15.png (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb15.svg (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb17.mml (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb17.png (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb17.svg (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb18.mml (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb18.png (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb18.svg (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb20.mml (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb20.png (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb20.svg (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb22.mml (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb22.png (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb22.svg (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb5.mml (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb5.png (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb5.svg (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb6.mml (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb6.png (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb6.svg (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb7.mml (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb7.png (contents, props changed)
sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb7.svg (contents, props changed)
Binary files modified:
sandbox/math_toolkit/libs/math/doc/equations/lgamm5.svg
sandbox/math_toolkit/libs/math/doc/equations/lgamm6.svg
Text files modified:
sandbox/math_toolkit/libs/math/doc/equations/lgamm5.mml | 296 ++++++++++++++++++++-------------------
sandbox/math_toolkit/libs/math/doc/equations/lgamm6.mml | 292 ++++++++++++++++++++-------------------
2 files changed, 302 insertions(+), 286 deletions(-)
Modified: sandbox/math_toolkit/libs/math/doc/equations/lgamm5.mml
==============================================================================
--- sandbox/math_toolkit/libs/math/doc/equations/lgamm5.mml (original)
+++ sandbox/math_toolkit/libs/math/doc/equations/lgamm5.mml 2007-09-27 05:30:51 EDT (Thu, 27 Sep 2007)
@@ -1,149 +1,157 @@
- <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
- <mi>ln</mi>
- <mfenced>
- <mrow>
- <mo>|</mo>
- <mi>Γ</mi>
- <mfenced>
- <mrow>
- <mi>z</mi>
- </mrow>
- </mfenced>
- <mo>|</mo>
- </mrow>
- </mfenced>
- <mo>=</mo>
- <mtext>?</mtext>
- <mi>z</mi>
- <mi>ln</mi>
- <mfenced>
- <mrow>
- <mfrac>
- <mrow>
- <mtext>?</mtext>
- <mi>z</mi>
- <mo>+</mo>
- <mi>g</mi>
- <mo>+</mo>
- <mn>0.5</mn>
- </mrow>
- <mi>e</mi>
- </mfrac>
- </mrow>
- </mfenced>
- <mo>+</mo>
- <mrow>
- <mfrac>
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- <mn>2</mn>
- </mfrac>
- </mrow>
- <mi>ln</mi>
- <mfenced>
- <mrow>
- <mn>1</mn>
- <mo>+</mo>
- <mfrac>
- <mrow>
- <mtext>?</mtext>
- <mi>z</mi>
- </mrow>
- <mrow>
- <mi>g</mi>
- <mo>+</mo>
- <mn>0.5</mn>
- </mrow>
- </mfrac>
- </mrow>
- </mfenced>
- <mo>+</mo>
- <mi>ln</mi>
- <mfenced>
- <mrow>
- <mn>1</mn>
- <mo>+</mo>
- <munderover>
- <mo>∑</mo>
- <mrow>
- <mi>k</mi>
- <mo>=</mo>
- <mn>0</mn>
- </mrow>
- <mrow>
- <mi>N</mi>
- <mo>−</mo>
- <mn>1</mn>
- </mrow>
- </munderover>
- <mfrac>
- <mrow>
- <mtext>?</mtext>
- <mi>z</mi>
- <msub>
- <mi>d</mi>
- <mi>k</mi>
- </msub>
- </mrow>
- <mrow>
+ <mtable>
+ <mtr>
+ <mtd>
+ <mi>ln</mi>
+ <mfenced>
+ <mrow>
+ <mo>|</mo>
+ <mi>Γ</mi>
+ <mfenced>
+ <mrow>
+ <mi>z</mi>
+ </mrow>
+ </mfenced>
+ <mo>|</mo>
+ </mrow>
+ </mfenced>
+ <mo>=</mo>
+ <mtext>Δ</mtext>
+ <mi>z</mi>
+ <mi>ln</mi>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mrow>
+ <mtext>Δ</mtext>
+ <mi>z</mi>
+ <mo>+</mo>
+ <mi>g</mi>
+ <mo>+</mo>
+ <mn>0.5</mn>
+ </mrow>
+ <mi>e</mi>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ <mo>+</mo>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ <mi>ln</mi>
+ <mfenced>
+ <mrow>
+ <mn>1</mn>
+ <mo>+</mo>
+ <mfrac>
+ <mrow>
+ <mtext>Δ</mtext>
+ <mi>z</mi>
+ </mrow>
+ <mrow>
+ <mi>g</mi>
+ <mo>+</mo>
+ <mn>0.5</mn>
+ </mrow>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ <mo>+</mo>
+ <mi>ln</mi>
+ <mfenced>
+ <mrow>
+ <mn>1</mn>
+ <mo>+</mo>
+ <munderover>
+ <mo>∑</mo>
+ <mrow>
+ <mi>k</mi>
+ <mo>=</mo>
+ <mn>0</mn>
+ </mrow>
+ <mrow>
+ <mi>N</mi>
+ <mo>−</mo>
+ <mn>1</mn>
+ </mrow>
+ </munderover>
+ <mfrac>
+ <mrow>
+ <mtext>Δ</mtext>
+ <mi>z</mi>
+ <msub>
+ <mi>d</mi>
+ <mi>k</mi>
+ </msub>
+ </mrow>
+ <mrow>
+ <mi>k</mi>
+ <mfenced>
+ <mrow>
+ <mtext>Δ</mtext>
+ <mi>z</mi>
+ <mo>+</mo>
+ <mi>k</mi>
+ </mrow>
+ </mfenced>
+ </mrow>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mtext>Δ</mtext>
+ <mi>z</mi>
+ <mo>=</mo>
+ <mn>1</mn>
+ <mo>−</mo>
+ <mi>z</mi>
+ <mspace width="1em"/>
+ <mo>∧</mo>
+ <mspace width="1em"/>
+ <msub>
+ <mi>d</mi>
<mi>k</mi>
- <mfenced>
- <mrow>
- <mtext>?</mtext>
- <mi>z</mi>
- <mo>+</mo>
- <mi>k</mi>
- </mrow>
- </mfenced>
- </mrow>
- </mfrac>
- </mrow>
- </mfenced>
- <mspace width="1em"/>
- <mo>;</mo>
- <mspace width="1em"/>
- <mtext>?</mtext>
- <mi>z</mi>
- <mo>=</mo>
- <mn>1</mn>
- <mo>−</mo>
- <mi>z</mi>
- <mspace width="1em"/>
- <mo>∧</mo>
- <mspace width="1em"/>
- <msub>
- <mi>d</mi>
- <mi>k</mi>
- </msub>
- <mo>=</mo>
- <msqrt>
- <mrow>
- <mfrac>
- <mrow>
- <mi>g</mi>
- <mo>+</mo>
- <mn>0.5</mn>
- </mrow>
- <mi>e</mi>
- </mfrac>
- </mrow>
- </msqrt>
- <mfenced>
- <mrow>
- <mfrac>
- <mrow>
- <msub>
- <mi>C</mi>
- <mi>k</mi>
- </msub>
- </mrow>
- <msup>
- <mi>e</mi>
- <mi>g</mi>
- </msup>
- </mfrac>
- </mrow>
- </mfenced>
+ </msub>
+ <mo>=</mo>
+ <msqrt>
+ <mrow>
+ <mfrac>
+ <mrow>
+ <mi>g</mi>
+ <mo>+</mo>
+ <mn>0.5</mn>
+ </mrow>
+ <mi>e</mi>
+ </mfrac>
+ </mrow>
+ </msqrt>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mrow>
+ <msub>
+ <mi>C</mi>
+ <mi>k</mi>
+ </msub>
+ </mrow>
+ <msup>
+ <mi>e</mi>
+ <mi>g</mi>
+ </msup>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ </mtd>
+ </mtr>
+ </mtable>
</mrow>
</math>
+
Modified: sandbox/math_toolkit/libs/math/doc/equations/lgamm5.svg
==============================================================================
Binary files. No diff available.
Modified: sandbox/math_toolkit/libs/math/doc/equations/lgamm6.mml
==============================================================================
--- sandbox/math_toolkit/libs/math/doc/equations/lgamm6.mml (original)
+++ sandbox/math_toolkit/libs/math/doc/equations/lgamm6.mml 2007-09-27 05:30:51 EDT (Thu, 27 Sep 2007)
@@ -1,158 +1,166 @@
- <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
- <mi>ln</mi>
- <mfenced>
- <mrow>
- <mo>|</mo>
- <mi>Γ</mi>
- <mfenced>
+ <mtable>
+ <mtr>
+ <mtd>
+ <mi>ln</mi>
+ <mfenced>
+ <mrow>
+ <mo>|</mo>
+ <mi>Γ</mi>
+ <mfenced>
+ <mrow>
+ <mi>z</mi>
+ </mrow>
+ </mfenced>
+ <mo>|</mo>
+ </mrow>
+ </mfenced>
+ <mo>=</mo>
<mrow>
- <mi>z</mi>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
</mrow>
- </mfenced>
- <mo>|</mo>
- </mrow>
- </mfenced>
- <mo>=</mo>
- <mrow>
- <mfrac>
- <mn>3</mn>
- <mn>2</mn>
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- <mfenced>
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- <mn>1</mn>
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- <mrow>
- <mfrac>
+ <mi>ln</mi>
+ <mfenced>
<mrow>
- <mtext>?</mtext>
- <mi>z</mi>
+ <mn>1</mn>
+ <mo>+</mo>
+ <mrow>
+ <mfrac>
+ <mrow>
+ <mtext>Δ</mtext>
+ <mi>z</mi>
+ </mrow>
+ <mrow>
+ <mi>g</mi>
+ <mo>+</mo>
+ <mn>1.5</mn>
+ </mrow>
+ </mfrac>
+ </mrow>
</mrow>
+ </mfenced>
+ <mo>+</mo>
+ <mtext>Δ</mtext>
+ <mi>z</mi>
+ <mi>ln</mi>
+ <mfenced>
<mrow>
- <mi>g</mi>
+ <mfrac>
+ <mrow>
+ <mi>z</mi>
+ <mo>+</mo>
+ <mi>g</mi>
+ <mo>−</mo>
+ <mn>0.5</mn>
+ </mrow>
+ <mi>e</mi>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ <mo>+</mo>
+ <mi>ln</mi>
+ <mfenced>
+ <mrow>
+ <mn>1</mn>
<mo>+</mo>
- <mn>1.5</mn>
+ <munderover>
+ <mo>∑</mo>
+ <mrow>
+ <mi>k</mi>
+ <mo>=</mo>
+ <mn>1</mn>
+ </mrow>
+ <mrow>
+ <mi>N</mi>
+ <mo>−</mo>
+ <mn>1</mn>
+ </mrow>
+ </munderover>
+ <mfrac>
+ <mrow>
+ <mo>−</mo>
+ <msub>
+ <mi>d</mi>
+ <mi>k</mi>
+ </msub>
+ <mtext>Δ</mtext>
+ <mi>z</mi>
+ </mrow>
+ <mrow>
+ <mi>z</mi>
+ <mo>+</mo>
+ <mi>k</mi>
+ <mi>z</mi>
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+ <msup>
+ <mi>k</mi>
+ <mn>2</mn>
+ </msup>
+ <mo>−</mo>
+ <mn>1</mn>
+ </mrow>
+ </mfrac>
</mrow>
- </mfrac>
- </mrow>
- </mrow>
- </mfenced>
- <mo>+</mo>
- <mtext>?</mtext>
- <mi>z</mi>
- <mi>ln</mi>
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- <mi>z</mi>
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- <mrow>
- <mn>1</mn>
- <mo>+</mo>
- <munderover>
- <mo>∑</mo>
- <mrow>
+ </mfenced>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mtext>Δ</mtext>
+ <mi>z</mi>
+ <mo>=</mo>
+ <mi>z</mi>
+ <mo>−</mo>
+ <mn>2</mn>
+ <mspace width="1em"/>
+ <mo>∧</mo>
+ <mspace width="1em"/>
+ <msub>
+ <mi>d</mi>
<mi>k</mi>
- <mo>=</mo>
- <mn>1</mn>
- </mrow>
- <mrow>
- <mi>N</mi>
- <mo>−</mo>
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- <mrow>
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- <mi>k</mi>
- </msub>
- <mo>=</mo>
- <msup>
- <mfenced>
- <mrow>
- <mfrac>
+ </msub>
+ <mo>=</mo>
+ <msup>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mrow>
+ <mi>g</mi>
+ <mo>+</mo>
+ <mn>1.5</mn>
+ </mrow>
+ <mi>e</mi>
+ </mfrac>
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+ </mfenced>
<mrow>
- <mi>g</mi>
- <mo>+</mo>
<mn>1.5</mn>
</mrow>
- <mi>e</mi>
- </mfrac>
- </mrow>
- </mfenced>
- <mrow>
- <mn>1.5</mn>
- </mrow>
- </msup>
- <mfenced>
- <mrow>
- <mfrac>
- <mrow>
- <msub>
- <mi>C</mi>
- <mi>k</mi>
- </msub>
- </mrow>
- <msup>
- <mi>e</mi>
- <mi>g</mi>
</msup>
- </mfrac>
- </mrow>
- </mfenced>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mrow>
+ <msub>
+ <mi>C</mi>
+ <mi>k</mi>
+ </msub>
+ </mrow>
+ <msup>
+ <mi>e</mi>
+ <mi>g</mi>
+ </msup>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ </mtd>
+ </mtr>
+ </mtable>
</mrow>
</math>
+
Modified: sandbox/math_toolkit/libs/math/doc/equations/lgamm6.svg
==============================================================================
Binary files. No diff available.
Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb1.mml
==============================================================================
--- (empty file)
+++ sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb1.mml 2007-09-27 05:30:51 EDT (Thu, 27 Sep 2007)
@@ -0,0 +1,35 @@
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mtext>exp</mtext>
+ <mfenced>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </mfenced>
+ <mspace width="1em"/>
+ <mo>=</mo>
+ <mspace width="1em"/>
+ <munderover>
+ <mo>∑</mo>
+ <mrow>
+ <mi>n</mi>
+ <mo>=</mo>
+ <mn>0</mn>
+ </mrow>
+ <mi>∞</mi>
+ </munderover>
+ <mfrac>
+ <mrow>
+ <msup>
+ <mi>x</mi>
+ <mi>n</mi>
+ </msup>
+ </mrow>
+ <mrow>
+ <mi>n</mi>
+ <mo>!</mo>
+ </mrow>
+ </mfrac>
+ </mrow>
+</math>
+
Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb1.png
==============================================================================
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Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb1.svg
==============================================================================
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Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb15.mml
==============================================================================
--- (empty file)
+++ sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb15.mml 2007-09-27 05:30:51 EDT (Thu, 27 Sep 2007)
@@ -0,0 +1,36 @@
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mtext>atanh</mtext>
+ <mfenced>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </mfenced>
+ <mspace width="1em"/>
+ <mo>=</mo>
+ <mspace width="1em"/>
+ <mfrac>
+ <mrow>
+ <mi>log</mi>
+ <mfenced>
+ <mrow>
+ <mfrac>
+ <mrow>
+ <mn>1</mn>
+ <mo>+</mo>
+ <mi>x</mi>
+ </mrow>
+ <mrow>
+ <mn>1</mn>
+ <mo>−</mo>
+ <mi>x</mi>
+ </mrow>
+ </mfrac>
+ </mrow>
+ </mfenced>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+</math>
+
Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb15.png
==============================================================================
Binary file. No diff available.
Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb15.svg
==============================================================================
Binary file. No diff available.
Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb17.mml
==============================================================================
--- (empty file)
+++ sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb17.mml 2007-09-27 05:30:51 EDT (Thu, 27 Sep 2007)
@@ -0,0 +1,31 @@
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mtext>asinh</mtext>
+ <mfenced>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </mfenced>
+ <mspace width="1em"/>
+ <mo>=</mo>
+ <mspace width="1em"/>
+ <mi>log</mi>
+ <mfenced>
+ <mrow>
+ <mi>x</mi>
+ <mo>+</mo>
+ <msqrt>
+ <mrow>
+ <msup>
+ <mi>x</mi>
+ <mn>2</mn>
+ </msup>
+ <mo>+</mo>
+ <mn>1</mn>
+ </mrow>
+ </msqrt>
+ </mrow>
+ </mfenced>
+ </mrow>
+</math>
+
Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb17.png
==============================================================================
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Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb17.svg
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+++ sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb18.mml 2007-09-27 05:30:51 EDT (Thu, 27 Sep 2007)
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Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb20.mml
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@@ -0,0 +1,43 @@
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@@ -0,0 +1,35 @@
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Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb6.mml
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@@ -0,0 +1,33 @@
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Added: sandbox/math_toolkit/libs/math/doc/equations/special_functions_blurb7.mml
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@@ -0,0 +1,32 @@
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