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Diffstat (limited to 'libs/math/doc/equations/heuman_lambda.mml')
| -rw-r--r-- | libs/math/doc/equations/heuman_lambda.mml | 224 |
1 files changed, 224 insertions, 0 deletions
diff --git a/libs/math/doc/equations/heuman_lambda.mml b/libs/math/doc/equations/heuman_lambda.mml new file mode 100644 index 000000000..abeb41143 --- /dev/null +++ b/libs/math/doc/equations/heuman_lambda.mml @@ -0,0 +1,224 @@ +<?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>heuman_lambda</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> + <msub> + <mi>Λ</mi> + <mn>0</mn> + </msub> + <mfenced> + <mrow> + <mi>φ</mi> + <mo>,</mo> + <mi>k</mi> + </mrow> + </mfenced> + </mtd> + <mtd> + <mo>=</mo> + </mtd> + <mtd> + <mfrac> + <mrow> + <mi>F</mi> + <mfenced> + <mrow> + <mi>φ</mi> + <mo>,</mo> + <msqrt> + <mrow> + <mn>1</mn> + <mo>−</mo> + <msup> + <mi>k</mi> + <mn>2</mn> + </msup> + </mrow> + </msqrt> + </mrow> + </mfenced> + </mrow> + <mrow> + <mi>K</mi> + <mfenced> + <mrow> + <msqrt> + <mrow> + <mn>1</mn> + <mo>−</mo> + <msup> + <mi>k</mi> + <mn>2</mn> + </msup> + </mrow> + </msqrt> + </mrow> + </mfenced> + </mrow> + </mfrac> + <mo>+</mo> + <mfrac> + <mn>2</mn> + <mi>π</mi> + </mfrac> + <mi>K</mi> + <mfenced> + <mrow> + <mi>k</mi> + </mrow> + </mfenced> + <mi>Z</mi> + <mfenced> + <mrow> + <mi>φ</mi> + <mo>,</mo> + <msqrt> + <mrow> + <mn>1</mn> + <mo>−</mo> + <msup> + <mi>k</mi> + <mn>2</mn> + </msup> + </mrow> + </msqrt> + </mrow> + </mfenced> + </mtd> + </mtr> + <mtr> + <mtd> + <mspace width="1.0em"/> + </mtd> + <mtd> + <mo>=</mo> + </mtd> + <mtd> + <mfrac> + <mn>2</mn> + <mi>π</mi> + </mfrac> + <mfrac> + <mrow> + <mfenced> + <mrow> + <mn>1</mn> + <mo>−</mo> + <msup> + <mi>k</mi> + <mn>2</mn> + </msup> + </mrow> + </mfenced> + <mi>sin</mi> + <mi>φ</mi> + <mi>cos</mi> + <mi>φ</mi> + </mrow> + <mtext>Δ</mtext> + </mfrac> + <mfenced> + <mrow> + <msub> + <mi>R</mi> + <mi>F</mi> + </msub> + <mfenced> + <mrow> + <mn>0,1</mn> + <mo>−</mo> + <msup> + <mi>k</mi> + <mn>2</mn> + </msup> + <mo>,</mo> + <mn>1</mn> + </mrow> + </mfenced> + <mo>+</mo> + <mfrac> + <mrow> + <msup> + <mi>k</mi> + <mn>2</mn> + </msup> + </mrow> + <mrow> + <mn>3</mn> + <msup> + <mtext>Δ</mtext> + <mn>2</mn> + </msup> + </mrow> + </mfrac> + <msub> + <mi>R</mi> + <mi>J</mi> + </msub> + <mfenced> + <mrow> + <mn>0,1</mn> + <mo>−</mo> + <msup> + <mi>k</mi> + <mn>2</mn> + </msup> + <mo>,</mo> + <mn>1,1</mn> + <mo>−</mo> + <mfrac> + <mrow> + <msup> + <mi>k</mi> + <mn>2</mn> + </msup> + </mrow> + <mrow> + <msup> + <mtext>Δ</mtext> + <mn>2</mn> + </msup> + </mrow> + </mfrac> + </mrow> + </mfenced> + </mrow> + </mfenced> + <mspace width="1.0em"/> + <mo>;</mo> + <msup> + <mtext>Δ</mtext> + <mn>2</mn> + </msup> + <mo>=</mo> + <mn>1</mn> + <mo>−</mo> + <mfenced> + <mrow> + <mn>1</mn> + <mo>−</mo> + <msup> + <mi>k</mi> + <mn>2</mn> + </msup> + </mrow> + </mfenced> + <msup> + <mi>sin</mi> + <mn>2</mn> + </msup> + <mi>φ</mi> + </mtd> + </mtr> + </mtable> + </mrow> +</math></body> +</html>
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