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https://github.com/saitohirga/WSJT-X.git
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210 lines
5.0 KiB
Plaintext
210 lines
5.0 KiB
Plaintext
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<?xml version="1.0" encoding="UTF-8"?>
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<!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'>]>
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<html xmlns="http://www.w3.org/1999/xhtml">
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<head><title>ellint_d</title>
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<!-- MathML created with MathCast Equation Editor version 0.92 -->
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</head>
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<body>
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<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
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<mrow>
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<mtable>
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<mtr>
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<mtd>
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<mi>D</mi>
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<mfenced>
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<mrow>
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<mi>φ</mi>
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<mo>,</mo>
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<mi>k</mi>
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</mrow>
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</mfenced>
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</mtd>
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<mtd>
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<mo>=</mo>
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</mtd>
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<mtd>
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<msubsup>
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<mo>∫</mo>
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<mrow>
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<mn>0</mn>
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</mrow>
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<mi>φ</mi>
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</msubsup>
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<mfrac>
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<mrow>
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<msup>
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<mi>sin</mi>
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<mn>2</mn>
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</msup>
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<mi>θ</mi>
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</mrow>
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<mrow>
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<msqrt>
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<mfenced>
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<mrow>
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<mn>1</mn>
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<mo>−</mo>
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<msup>
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<mi>k</mi>
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<mn>2</mn>
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</msup>
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<msup>
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<mi>sin</mi>
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<mn>2</mn>
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</msup>
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<mi>θ</mi>
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</mrow>
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</mfenced>
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</msqrt>
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</mrow>
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</mfrac>
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<mi>d</mi>
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<mi>θ</mi>
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</mtd>
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</mtr>
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<mtr>
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<mtd>
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<mspace width="1.0em"/>
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</mtd>
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<mtd>
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<mo>=</mo>
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</mtd>
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<mtd>
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<msubsup>
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<mo>∫</mo>
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<mrow>
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<mn>0</mn>
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</mrow>
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<mrow>
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<mi>sin</mi>
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<mi>φ</mi>
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</mrow>
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</msubsup>
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<mfrac>
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<mrow>
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<msup>
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<mi>t</mi>
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<mn>2</mn>
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</msup>
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</mrow>
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<mrow>
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<msqrt>
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<mrow>
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<mn>1</mn>
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<mo>−</mo>
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<msup>
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<mi>t</mi>
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<mn>2</mn>
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</msup>
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</mrow>
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</msqrt>
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<msqrt>
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<mrow>
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<mn>1</mn>
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<mo>−</mo>
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<msup>
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<mi>k</mi>
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<mn>2</mn>
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</msup>
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<msup>
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<mi>t</mi>
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<mn>2</mn>
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</msup>
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</mrow>
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</msqrt>
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</mrow>
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</mfrac>
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<mi>d</mi>
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<mi>t</mi>
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</mtd>
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</mtr>
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<mtr>
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<mtd>
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<mspace width="1.0em"/>
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</mtd>
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<mtd>
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<mo>=</mo>
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</mtd>
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<mtd>
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<mfrac>
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<mrow>
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<mfenced>
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<mrow>
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<mi>F</mi>
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<mfenced>
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<mrow>
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<mi>φ</mi>
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<mo>,</mo>
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<mi>k</mi>
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</mrow>
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</mfenced>
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<mo>−</mo>
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<mi>E</mi>
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<mfenced>
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<mrow>
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<mi>φ</mi>
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<mo>,</mo>
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<mi>k</mi>
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</mrow>
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</mfenced>
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</mrow>
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</mfenced>
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</mrow>
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<msup>
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<mi>k</mi>
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<mn>2</mn>
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</msup>
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</mfrac>
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</mtd>
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</mtr>
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<mtr>
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<mtd>
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<mspace width="1.0em"/>
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</mtd>
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<mtd>
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<mo>=</mo>
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</mtd>
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<mtd>
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<mfrac>
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<mn>1</mn>
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<mn>3</mn>
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</mfrac>
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<msub>
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<mi>R</mi>
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<mi>D</mi>
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</msub>
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<mfenced>
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<mrow>
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<mi>c</mi>
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<mo>−</mo>
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<mn>1,</mn>
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<mi>c</mi>
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<mo>−</mo>
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<msup>
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<mi>k</mi>
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<mn>2,</mn>
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</msup>
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<mi>c</mi>
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</mrow>
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</mfenced>
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<mspace width="1.0em"/>
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<mo>;</mo>
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<mspace width="1.0em"/>
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<mi>c</mi>
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<mo>=</mo>
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<mfrac>
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<mn>1</mn>
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<mrow>
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<msup>
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<mi>sin</mi>
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<mn>2</mn>
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</msup>
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<mi>φ</mi>
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</mrow>
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</mfrac>
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</mtd>
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</mtr>
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</mtable>
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</mrow>
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</math></body>
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</html>
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