summaryrefslogtreecommitdiff
path: root/libs/math/doc/equations/ellint_d.mml
diff options
context:
space:
mode:
Diffstat (limited to 'libs/math/doc/equations/ellint_d.mml')
-rw-r--r--libs/math/doc/equations/ellint_d.mml210
1 files changed, 210 insertions, 0 deletions
diff --git a/libs/math/doc/equations/ellint_d.mml b/libs/math/doc/equations/ellint_d.mml
new file mode 100644
index 000000000..761a534de
--- /dev/null
+++ b/libs/math/doc/equations/ellint_d.mml
@@ -0,0 +1,210 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!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>ellint_d</title>
+<!-- MathML created with MathCast Equation Editor version 0.92 -->
+</head>
+<body>
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mtable>
+ <mtr>
+ <mtd>
+ <mi>D</mi>
+ <mfenced>
+ <mrow>
+ <mi>&#x3c6;</mi>
+ <mo>,</mo>
+ <mi>k</mi>
+ </mrow>
+ </mfenced>
+ </mtd>
+ <mtd>
+ <mo>=</mo>
+ </mtd>
+ <mtd>
+ <msubsup>
+ <mo>&#x222b;</mo>
+ <mrow>
+ <mn>0</mn>
+ </mrow>
+ <mi>&#x3c6;</mi>
+ </msubsup>
+ <mfrac>
+ <mrow>
+ <msup>
+ <mi>sin</mi>
+ <mn>2</mn>
+ </msup>
+ <mi>&#x3b8;</mi>
+ </mrow>
+ <mrow>
+ <msqrt>
+ <mfenced>
+ <mrow>
+ <mn>1</mn>
+ <mo>&#x2212;</mo>
+ <msup>
+ <mi>k</mi>
+ <mn>2</mn>
+ </msup>
+ <msup>
+ <mi>sin</mi>
+ <mn>2</mn>
+ </msup>
+ <mi>&#x3b8;</mi>
+ </mrow>
+ </mfenced>
+ </msqrt>
+ </mrow>
+ </mfrac>
+ <mi>d</mi>
+ <mi>&#x3b8;</mi>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mspace width="1.0em"/>
+ </mtd>
+ <mtd>
+ <mo>=</mo>
+ </mtd>
+ <mtd>
+ <msubsup>
+ <mo>&#x222b;</mo>
+ <mrow>
+ <mn>0</mn>
+ </mrow>
+ <mrow>
+ <mi>sin</mi>
+ <mi>&#x3c6;</mi>
+ </mrow>
+ </msubsup>
+ <mfrac>
+ <mrow>
+ <msup>
+ <mi>t</mi>
+ <mn>2</mn>
+ </msup>
+ </mrow>
+ <mrow>
+ <msqrt>
+ <mrow>
+ <mn>1</mn>
+ <mo>&#x2212;</mo>
+ <msup>
+ <mi>t</mi>
+ <mn>2</mn>
+ </msup>
+ </mrow>
+ </msqrt>
+ <msqrt>
+ <mrow>
+ <mn>1</mn>
+ <mo>&#x2212;</mo>
+ <msup>
+ <mi>k</mi>
+ <mn>2</mn>
+ </msup>
+ <msup>
+ <mi>t</mi>
+ <mn>2</mn>
+ </msup>
+ </mrow>
+ </msqrt>
+ </mrow>
+ </mfrac>
+ <mi>d</mi>
+ <mi>t</mi>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mspace width="1.0em"/>
+ </mtd>
+ <mtd>
+ <mo>=</mo>
+ </mtd>
+ <mtd>
+ <mfrac>
+ <mrow>
+ <mfenced>
+ <mrow>
+ <mi>F</mi>
+ <mfenced>
+ <mrow>
+ <mi>&#x3c6;</mi>
+ <mo>,</mo>
+ <mi>k</mi>
+ </mrow>
+ </mfenced>
+ <mo>&#x2212;</mo>
+ <mi>E</mi>
+ <mfenced>
+ <mrow>
+ <mi>&#x3c6;</mi>
+ <mo>,</mo>
+ <mi>k</mi>
+ </mrow>
+ </mfenced>
+ </mrow>
+ </mfenced>
+ </mrow>
+ <msup>
+ <mi>k</mi>
+ <mn>2</mn>
+ </msup>
+ </mfrac>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mspace width="1.0em"/>
+ </mtd>
+ <mtd>
+ <mo>=</mo>
+ </mtd>
+ <mtd>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ <msub>
+ <mi>R</mi>
+ <mi>D</mi>
+ </msub>
+ <mfenced>
+ <mrow>
+ <mi>c</mi>
+ <mo>&#x2212;</mo>
+ <mn>1,</mn>
+ <mi>c</mi>
+ <mo>&#x2212;</mo>
+ <msup>
+ <mi>k</mi>
+ <mn>2,</mn>
+ </msup>
+ <mi>c</mi>
+ </mrow>
+ </mfenced>
+ <mspace width="1.0em"/>
+ <mo>;</mo>
+ <mspace width="1.0em"/>
+ <mi>c</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mrow>
+ <msup>
+ <mi>sin</mi>
+ <mn>2</mn>
+ </msup>
+ <mi>&#x3c6;</mi>
+ </mrow>
+ </mfrac>
+ </mtd>
+ </mtr>
+ </mtable>
+ </mrow>
+</math></body>
+</html> \ No newline at end of file