mirror of
https://github.com/boostorg/math.git
synced 2026-01-31 08:22:09 +00:00
99b147eee1
Also made sure that all the files are readable by the latest Mathcast release, and by SVGMath, and are valid XML. [SVN r39536]
1112 lines
23 KiB
XML
1112 lines
23 KiB
XML
<?xml version='1.0'?>
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<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
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'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
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[<!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>
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<!-- MathML created with MathCast Equation Editor version 0.83 -->
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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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<mrow>
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<mfenced>
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<mrow>
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<mi>y</mi>
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<mo>+</mo>
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<mi>q</mi>
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</mrow>
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</mfenced>
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<msub>
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<mi>R</mi>
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<mi>J</mi>
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</msub>
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<mfenced>
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<mrow>
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<mi>x</mi>
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<mo>,</mo>
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<mi>y</mi>
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<mo>,</mo>
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<mi>z</mi>
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<mo>,</mo>
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<mo>−</mo>
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<mi>q</mi>
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</mrow>
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</mfenced>
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<mspace width="1em"/>
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<mo>=</mo>
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<mspace width="1em"/>
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</mrow>
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</mtd>
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<mtd>
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<mrow>
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<mfenced>
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<mrow>
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<mi>p</mi>
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<mo>−</mo>
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<mi>y</mi>
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</mrow>
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</mfenced>
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<msub>
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<mi>R</mi>
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<mi>J</mi>
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</msub>
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<mfenced>
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<mrow>
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<mi>x</mi>
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<mo>,</mo>
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<mi>y</mi>
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<mo>,</mo>
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<mi>z</mi>
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<mo>,</mo>
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<mi>p</mi>
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</mrow>
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</mfenced>
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<mo>−</mo>
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<mn>3</mn>
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<msub>
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<mi>R</mi>
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<mi>F</mi>
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</msub>
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<mfenced>
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<mrow>
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<mi>x</mi>
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<mo>,</mo>
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<mi>y</mi>
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<mo>,</mo>
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<mi>z</mi>
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</mrow>
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</mfenced>
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</mrow>
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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="1em"/>
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</mtd>
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<mtd>
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<mrow>
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<mo>+</mo>
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<mn>3</mn>
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<msup>
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<mfenced>
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<mrow>
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<mfrac>
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<mrow>
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<mi>x</mi>
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<mi>y</mi>
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<mi>z</mi>
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</mrow>
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<mrow>
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<mi>x</mi>
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<mi>z</mi>
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<mo>+</mo>
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<mi>p</mi>
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<mi>q</mi>
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</mrow>
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</mfrac>
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</mrow>
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</mfenced>
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<mrow>
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<mfrac>
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<mn>1</mn>
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<mn>2</mn>
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</mfrac>
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</mrow>
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</msup>
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<msub>
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<mi>R</mi>
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<mi>C</mi>
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</msub>
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<mfenced>
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<mrow>
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<mi>x</mi>
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<mi>z</mi>
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<mo>+</mo>
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<mi>p</mi>
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<mi>q</mi>
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<mo>,</mo>
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<mi>p</mi>
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<mi>q</mi>
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</mrow>
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</mfenced>
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</mrow>
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</mtd>
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</mtr>
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<mtr>
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<mtd>
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<mtext>with:</mtext>
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<mi>q</mi>
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<mo>></mo>
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<mn>0</mn>
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</mtd>
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<mtd>
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<mtext>and:</mtext>
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<mi>p</mi>
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<mo>=</mo>
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<mi>y</mi>
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<mo>+</mo>
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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>z</mi>
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<mo>−</mo>
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<mi>y</mi>
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</mrow>
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</mfenced>
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<mfenced>
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<mrow>
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<mi>y</mi>
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<mo>−</mo>
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<mi>x</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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<mi>y</mi>
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<mo>+</mo>
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<mi>q</mi>
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</mrow>
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</mfenced>
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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>
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<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
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<mrow>
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<msub>
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<mi>R</mi>
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<mi>C</mi>
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</msub>
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<mfenced>
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<mrow>
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<mi>x</mi>
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<mo>,</mo>
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<mo>−</mo>
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<mi>y</mi>
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</mrow>
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</mfenced>
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<mspace width="1em"/>
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<mo>=</mo>
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<mspace width="1em"/>
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<msup>
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<mfenced>
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<mrow>
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<mfrac>
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<mi>x</mi>
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<mrow>
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<mi>x</mi>
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<mo>+</mo>
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<mi>y</mi>
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</mrow>
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</mfrac>
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</mrow>
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</mfenced>
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<mrow>
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<mfrac>
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<mn>1</mn>
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<mn>2</mn>
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</mfrac>
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</mrow>
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</msup>
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<msub>
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<mi>R</mi>
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<mi>C</mi>
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</msub>
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<mfenced>
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<mrow>
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<mi>x</mi>
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<mo>+</mo>
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<mi>y</mi>
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<mo>,</mo>
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<mi>y</mi>
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</mrow>
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</mfenced>
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</mrow>
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</math>
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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>F</mi>
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<mfenced>
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<mrow>
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<mo>−</mo>
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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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<mo>−</mo>
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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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</mtd>
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</mtr>
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<mtr>
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<mtd>
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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>m</mi>
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<mi>π</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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<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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<mn>2</mn>
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<mi>m</mi>
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<mi>K</mi>
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<mfenced>
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<mrow>
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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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</mtr>
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<mtr>
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<mtd>
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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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</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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<mi>sin</mi>
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<mi>φ</mi>
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<msub>
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<mi>R</mi>
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<mi>F</mi>
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</msub>
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<mfenced>
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<mrow>
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<mi>cos</mi>
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<msup>
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<mi/>
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<mn>2</mn>
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</msup>
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<mi>φ</mi>
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<mo>,</mo>
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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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<mi>sin</mi>
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<msup>
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<mi/>
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<mn>2</mn>
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</msup>
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<mi>φ</mi>
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<mo>,</mo>
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<mn>1</mn>
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</mrow>
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</mfenced>
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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>
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<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
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<mrow>
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<mi>K</mi>
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<mfenced>
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<mrow>
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<mi>k</mi>
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</mrow>
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</mfenced>
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<mspace width="1em"/>
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<mo>=</mo>
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<mspace width="1em"/>
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<msub>
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<mi>R</mi>
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<mi>F</mi>
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</msub>
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<mfenced>
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<mrow>
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<mn>0,1</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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<mo>,</mo>
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<mn>1</mn>
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</mrow>
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</mfenced>
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</mrow>
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</math>
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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>E</mi>
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<mfenced>
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<mrow>
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<mo>−</mo>
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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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<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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</mtd>
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</mtr>
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<mtr>
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<mtd>
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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>m</mi>
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<mi>π</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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<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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</mrow>
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</mfenced>
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<mo>+</mo>
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<mn>2</mn>
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<mi>m</mi>
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<mi>E</mi>
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<mfenced>
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<mrow>
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<mi>k</mi>
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</mrow>
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</mfenced>
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<mspace width="1em"/>
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<mo>;</mo>
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<mspace width="1em"/>
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<mi>φ</mi>
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<mo>∉</mo>
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<mo>[</mo>
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<mn>0,</mn>
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<mfrac>
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<mi>π</mi>
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<mn>2</mn>
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</mfrac>
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<mo>]</mo>
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</mtd>
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</mtr>
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<mtr>
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<mtd>
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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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</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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<mi>sin</mi>
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<mi>φ</mi>
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<msub>
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<mi>R</mi>
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<mi>F</mi>
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</msub>
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<mfenced>
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<mrow>
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<msup>
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<mi>cos</mi>
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<mn>2</mn>
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</msup>
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<mi>φ</mi>
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<mo>,</mo>
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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>φ</mi>
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<mo>,</mo>
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<mn>1</mn>
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</mrow>
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</mfenced>
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<mo>−</mo>
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<mrow>
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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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</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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<mi>sin</mi>
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<msup>
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<mi/>
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<mn>3</mn>
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</msup>
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<mi>φ</mi>
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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>cos</mi>
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<msup>
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<mi/>
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<mn>2</mn>
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</msup>
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<mi>φ</mi>
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<mo>,</mo>
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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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<mi>sin</mi>
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<msup>
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<mi/>
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<mn>2</mn>
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</msup>
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<mi>φ</mi>
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<mo>,</mo>
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<mn>1</mn>
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</mrow>
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</mfenced>
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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>
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<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
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<mrow>
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<mi>E</mi>
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<mfenced>
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<mrow>
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<mi>k</mi>
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</mrow>
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</mfenced>
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<mspace width="1em"/>
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<mo>=</mo>
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<mspace width="1em"/>
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<msub>
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<mi>R</mi>
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<mi>F</mi>
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</msub>
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<mfenced>
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<mrow>
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<mn>0,1</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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<mo>,</mo>
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<mn>1</mn>
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</mrow>
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</mfenced>
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<mo>−</mo>
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<mrow>
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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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</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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<msub>
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<mi>R</mi>
|
|
<mi>D</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>
|
|
</mrow>
|
|
</math>
|
|
|
|
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
|
|
<mrow>
|
|
<mtable>
|
|
<mtr>
|
|
<mtd>
|
|
<mo>∏</mo>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>n</mi>
|
|
<mo>,</mo>
|
|
<mi>φ</mi>
|
|
<mo>,</mo>
|
|
<mn>0</mn>
|
|
</mrow>
|
|
</mfenced>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<msqrt>
|
|
<mrow>
|
|
<mfrac>
|
|
<mn>1</mn>
|
|
<mrow>
|
|
<mn>1</mn>
|
|
<mo>−</mo>
|
|
<mi>n</mi>
|
|
</mrow>
|
|
</mfrac>
|
|
</mrow>
|
|
</msqrt>
|
|
<msup>
|
|
<mi>tan</mi>
|
|
<mrow>
|
|
<mo>−</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
</msup>
|
|
<mfenced>
|
|
<mrow>
|
|
<msqrt>
|
|
<mrow>
|
|
<mn>1</mn>
|
|
<mo>−</mo>
|
|
<mi>n</mi>
|
|
</mrow>
|
|
</msqrt>
|
|
<mi>tan</mi>
|
|
<mi>φ</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>;</mo>
|
|
<mi>n</mi>
|
|
<mo><</mo>
|
|
<mn>1</mn>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<mspace width="1em"/>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<msqrt>
|
|
<mrow>
|
|
<mfrac>
|
|
<mn>1</mn>
|
|
<mrow>
|
|
<mi>n</mi>
|
|
<mo>−</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
</mfrac>
|
|
</mrow>
|
|
</msqrt>
|
|
<msup>
|
|
<mi>tanh</mi>
|
|
<mrow>
|
|
<mo>−</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
</msup>
|
|
<mfenced>
|
|
<mrow>
|
|
<msqrt>
|
|
<mrow>
|
|
<mi>n</mi>
|
|
<mo>−</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
</msqrt>
|
|
<mi>tan</mi>
|
|
<mi>φ</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>;</mo>
|
|
<mi>n</mi>
|
|
<mo>></mo>
|
|
<mn>1</mn>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<mspace width="1em"/>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<mi>tan</mi>
|
|
<mi>φ</mi>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>;</mo>
|
|
<mi>n</mi>
|
|
<mo>=</mo>
|
|
<mn>1</mn>
|
|
</mtd>
|
|
</mtr>
|
|
</mtable>
|
|
</mrow>
|
|
</math>
|
|
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
|
|
<mrow>
|
|
<mtable>
|
|
<mtr>
|
|
<mtd>
|
|
<msqrt>
|
|
<mrow>
|
|
<mfenced>
|
|
<mrow>
|
|
<mn>1</mn>
|
|
<mo>−</mo>
|
|
<mi>n</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
<mfenced>
|
|
<mrow>
|
|
<mn>1</mn>
|
|
<mo>−</mo>
|
|
<mfrac>
|
|
<msup>
|
|
<mi>k</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mi>n</mi>
|
|
</mfrac>
|
|
</mrow>
|
|
</mfenced>
|
|
</mrow>
|
|
</msqrt>
|
|
<mo>∏</mo>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>n</mi>
|
|
<mo>,</mo>
|
|
<mi>φ</mi>
|
|
<mo>,</mo>
|
|
<mi>k</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<msqrt>
|
|
<mrow>
|
|
<mfenced>
|
|
<mrow>
|
|
<mn>1</mn>
|
|
<mo>−</mo>
|
|
<mi>N</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
<mfenced>
|
|
<mrow>
|
|
<mn>1</mn>
|
|
<mo>−</mo>
|
|
<mfrac>
|
|
<msup>
|
|
<mi>k</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mi>N</mi>
|
|
</mfrac>
|
|
</mrow>
|
|
</mfenced>
|
|
</mrow>
|
|
</msqrt>
|
|
<mo>∏</mo>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>N</mi>
|
|
<mo>,</mo>
|
|
<mi>φ</mi>
|
|
<mo>,</mo>
|
|
<mi>k</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<mspace width="1em"/>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>+</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<mfrac>
|
|
<msup>
|
|
<mi>k</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mrow>
|
|
<msub>
|
|
<mi>p</mi>
|
|
<mn>2</mn>
|
|
</msub>
|
|
</mrow>
|
|
</mfrac>
|
|
<mi>F</mi>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>φ</mi>
|
|
<mo>,</mo>
|
|
<mi>k</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<mspace width="1em"/>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>+</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<msup>
|
|
<mi>tan</mi>
|
|
<mrow>
|
|
<mo>−</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
</msup>
|
|
<mfenced>
|
|
<mrow>
|
|
<mfrac>
|
|
<msub>
|
|
<mi>p</mi>
|
|
<mn>2</mn>
|
|
</msub>
|
|
<mn>2</mn>
|
|
</mfrac>
|
|
<mfrac>
|
|
<mrow>
|
|
<mi>sin</mi>
|
|
<mrow>
|
|
<mn>2</mn>
|
|
<mi>φ</mi>
|
|
</mrow>
|
|
</mrow>
|
|
<mrow>
|
|
<mtext>?</mtext>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>φ</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mrow>
|
|
</mfrac>
|
|
</mrow>
|
|
</mfenced>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<mi>N</mi>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<mfrac>
|
|
<mfenced>
|
|
<mrow>
|
|
<msup>
|
|
<mi>k</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mo>−</mo>
|
|
<mi>n</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
<mfenced>
|
|
<mrow>
|
|
<mn>1</mn>
|
|
<mo>−</mo>
|
|
<mi>n</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mfrac>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<msub>
|
|
<mi>p</mi>
|
|
<mn>2</mn>
|
|
</msub>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<msqrt>
|
|
<mrow>
|
|
<mo>−</mo>
|
|
<mfrac>
|
|
<mi>n</mi>
|
|
<mrow>
|
|
<mn>1</mn>
|
|
<mo>−</mo>
|
|
<mi>n</mi>
|
|
</mrow>
|
|
</mfrac>
|
|
<mfenced>
|
|
<mrow>
|
|
<msup>
|
|
<mi>k</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mo>−</mo>
|
|
<mi>n</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mrow>
|
|
</msqrt>
|
|
</mtd>
|
|
</mtr>
|
|
</mtable>
|
|
</mrow>
|
|
</math>
|
|
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
|
|
<mrow>
|
|
<mo>∏</mo>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>n</mi>
|
|
<mo>,</mo>
|
|
<mi>φ</mi>
|
|
<mo>,</mo>
|
|
<mi>k</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
<mspace width="1em"/>
|
|
<mo>=</mo>
|
|
<mspace width="1em"/>
|
|
<mi>sin</mi>
|
|
<mi>φ</mi>
|
|
<msub>
|
|
<mi>R</mi>
|
|
<mi>F</mi>
|
|
</msub>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>cos</mi>
|
|
<msup>
|
|
<mi/>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mi>φ</mi>
|
|
<mo>,</mo>
|
|
<mn>1</mn>
|
|
<mo>−</mo>
|
|
<msup>
|
|
<mi>k</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mi>sin</mi>
|
|
<msup>
|
|
<mi/>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mi>φ</mi>
|
|
<mo>,</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
</mfenced>
|
|
<mo>+</mo>
|
|
<mfrac>
|
|
<mi>n</mi>
|
|
<mn>3</mn>
|
|
</mfrac>
|
|
<msup>
|
|
<mi>sin</mi>
|
|
<mn>3</mn>
|
|
</msup>
|
|
<mi>φ</mi>
|
|
<msub>
|
|
<mi>R</mi>
|
|
<mi>J</mi>
|
|
</msub>
|
|
<mfenced>
|
|
<mrow>
|
|
<msup>
|
|
<mi>cos</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mi>φ</mi>
|
|
<mo>,</mo>
|
|
<mn>1</mn>
|
|
<mo>−</mo>
|
|
<msup>
|
|
<mi>k</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<msup>
|
|
<mi>sin</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mi>φ</mi>
|
|
<mo>,</mo>
|
|
<mn>1,1</mn>
|
|
<mo>−</mo>
|
|
<mi>n</mi>
|
|
<msup>
|
|
<mi>sin</mi>
|
|
<mn>2</mn>
|
|
</msup>
|
|
<mi>φ</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mrow>
|
|
</math>
|
|
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
|
|
<mrow>
|
|
<mo>∏</mo>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>n</mi>
|
|
<mo>,</mo>
|
|
<mi>k</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
<mspace width="1em"/>
|
|
<mo>=</mo>
|
|
<mspace width="1em"/>
|
|
<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>
|
|
<mi>n</mi>
|
|
<mn>3</mn>
|
|
</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>
|
|
<mi>n</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mrow>
|
|
</math>
|
|
</body>
|
|
</html>
|