mirror of
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1 line
23 KiB
XML
1 line
23 KiB
XML
<?xml version='1.0' encoding='UTF-16'?>
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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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<mi>l</mi>
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<mo>=</mo>
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<mi>Γ</mi>
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<mfenced>
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<mrow>
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<mi>z</mi>
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</mfenced>
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<mo>|</mo>
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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>ln</mi>
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<mfenced>
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<mrow>
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<mo>|</mo>
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<mi>Γ</mi>
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<mfenced>
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<mrow>
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<mi>z</mi>
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</mrow>
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</mfenced>
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<mo>|</mo>
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</mfenced>
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<mo>=</mo>
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<mfenced>
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<mrow>
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<mi>l</mi>
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<mrow>
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<mo>∑</mo>
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<mrow>
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<mn>0</mn>
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<mi>∞</mi>
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<mrow>
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<mfrac>
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<msup>
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<mi>l</mi>
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<mi>n</mi>
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<msup>
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<mi>z</mi>
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<mrow>
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<mover>
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<mi>n</mi>
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<mo>−</mo>
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</mrow>
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</mfrac>
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</mrow>
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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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<mi>z</mi>
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<mo>−</mo>
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<mfrac>
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<msub>
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<mi>c</mi>
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<mn>1</mn>
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</msub>
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<mrow>
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<msub>
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<mi>d</mi>
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<mn>1</mn>
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</msub>
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<mo>+</mo>
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<mfrac>
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<msub>
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<mi>c</mi>
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<mn>2</mn>
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</msub>
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<mrow>
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<msub>
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<mi>d</mi>
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<mn>2</mn>
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</msub>
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<mo>+</mo>
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<mfrac>
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<msub>
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<mi>c</mi>
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<mn>3</mn>
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</msub>
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<mrow>
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<msub>
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<mi>d</mi>
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<mn>3</mn>
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</msub>
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<mo>+</mo>
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<mo>…</mo>
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</mrow>
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</mfrac>
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</mrow>
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</mfrac>
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</mrow>
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</mfrac>
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</mrow>
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</mfrac>
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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>c</mi>
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<mi>k</mi>
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</msub>
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<mo>=</mo>
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<mo>−</mo>
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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>k</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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<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>d</mi>
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<mi>k</mi>
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</msub>
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<mo>=</mo>
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<mi>z</mi>
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<mo>+</mo>
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||
<mi>k</mi>
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<mo>+</mo>
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<mi>l</mi>
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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>ln</mi>
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<mfenced>
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||
<mrow>
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||
<mo>|</mo>
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<mi>Γ</mi>
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<mfenced>
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||
<mrow>
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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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||
<mo>|</mo>
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</mrow>
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</mfenced>
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<mo>=</mo>
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<mi>ln</mi>
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<mfenced>
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||
<mrow>
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||
<mi>π</mi>
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</mrow>
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||
</mfenced>
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||
<mo>−</mo>
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||
<mi>ln</mi>
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<mfenced>
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||
<mrow>
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||
<mi>Γ</mi>
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<mfenced>
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||
<mrow>
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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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</mfenced>
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<mo>−</mo>
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<mi>ln</mi>
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<mfenced>
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||
<mrow>
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||
<mi>z</mi>
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<mi>sin</mi>
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<mfenced>
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||
<mrow>
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<mi>π</mi>
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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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</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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<mi>ln</mi>
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<mfenced>
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<mrow>
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||
<mo>|</mo>
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||
<mi>Γ</mi>
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<mfenced>
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||
<mrow>
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||
<mi>z</mi>
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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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</mfenced>
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<mo>=</mo>
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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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<mn>0.5</mn>
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</mrow>
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</mfenced>
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<mi>ln</mi>
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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>z</mi>
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<mo>+</mo>
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<mi>g</mi>
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<mo>−</mo>
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<mn>0.5</mn>
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</mrow>
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<mi>e</mi>
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</mfrac>
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</mrow>
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</mfenced>
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<mo>+</mo>
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<mi>ln</mi>
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<mfenced>
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<mrow>
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<msub>
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<mi>L</mi>
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<mrow>
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<mi>e</mi>
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<mo>,</mo>
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<mi>g</mi>
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</mrow>
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</msub>
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<mfenced>
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<mrow>
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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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</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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<mi>ln</mi>
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<mfenced>
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||
<mrow>
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||
<mo>|</mo>
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<mi>Γ</mi>
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<mfenced>
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||
<mrow>
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<mi>z</mi>
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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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</mfenced>
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||
<mo>=</mo>
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<mtext>Δ</mtext>
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<mi>z</mi>
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<mi>ln</mi>
|
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<mfenced>
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||
<mrow>
|
||
<mfrac>
|
||
<mrow>
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||
<mtext>Δ</mtext>
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||
<mi>z</mi>
|
||
<mo>+</mo>
|
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<mi>g</mi>
|
||
<mo>+</mo>
|
||
<mn>0.5</mn>
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||
</mrow>
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||
<mi>e</mi>
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||
</mfrac>
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||
</mrow>
|
||
</mfenced>
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||
<mo>+</mo>
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<mrow>
|
||
<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>
|
||
<mi>ln</mi>
|
||
<mfenced>
|
||
<mrow>
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<mn>1</mn>
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<mo>+</mo>
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<mfrac>
|
||
<mrow>
|
||
<mtext>Δ</mtext>
|
||
<mi>z</mi>
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||
</mrow>
|
||
<mrow>
|
||
<mi>g</mi>
|
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<mo>+</mo>
|
||
<mn>0.5</mn>
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</mrow>
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||
</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>
|
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</munderover>
|
||
<mfrac>
|
||
<mrow>
|
||
<mtext>Δ</mtext>
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<mi>z</mi>
|
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<msub>
|
||
<mi>d</mi>
|
||
<mi>k</mi>
|
||
</msub>
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||
</mrow>
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||
<mrow>
|
||
<mi>k</mi>
|
||
<mfenced>
|
||
<mrow>
|
||
<mtext>Δ</mtext>
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<mi>z</mi>
|
||
<mo>+</mo>
|
||
<mi>k</mi>
|
||
</mrow>
|
||
</mfenced>
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||
</mrow>
|
||
</mfrac>
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</mrow>
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</mfenced>
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||
<mspace width="1em"/>
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||
<mo>;</mo>
|
||
<mspace width="1em"/>
|
||
<mtext>Δ</mtext>
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||
<mi>z</mi>
|
||
<mo>=</mo>
|
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<mn>1</mn>
|
||
<mo>−</mo>
|
||
<mi>z</mi>
|
||
<mspace width="1em"/>
|
||
<mo>∧</mo>
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<mspace width="1em"/>
|
||
<msub>
|
||
<mi>d</mi>
|
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<mi>k</mi>
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</msub>
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<mo>=</mo>
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<msqrt>
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||
<mrow>
|
||
<mfrac>
|
||
<mrow>
|
||
<mi>g</mi>
|
||
<mo>+</mo>
|
||
<mn>0.5</mn>
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</mrow>
|
||
<mi>e</mi>
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</mfrac>
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||
</mrow>
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||
</msqrt>
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<mfenced>
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||
<mrow>
|
||
<mfrac>
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||
<mrow>
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||
<msub>
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<mi>C</mi>
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<mi>k</mi>
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</msub>
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</mrow>
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||
<msup>
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||
<mi>e</mi>
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||
<mi>g</mi>
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||
</msup>
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</mfrac>
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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>
|
||
<mi>ln</mi>
|
||
<mfenced>
|
||
<mrow>
|
||
<mo>|</mo>
|
||
<mi>Γ</mi>
|
||
<mfenced>
|
||
<mrow>
|
||
<mi>z</mi>
|
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</mrow>
|
||
</mfenced>
|
||
<mo>|</mo>
|
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</mrow>
|
||
</mfenced>
|
||
<mo>=</mo>
|
||
<mrow>
|
||
<mfrac>
|
||
<mn>3</mn>
|
||
<mn>2</mn>
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||
</mfrac>
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||
</mrow>
|
||
<mi>ln</mi>
|
||
<mfenced>
|
||
<mrow>
|
||
<mn>1</mn>
|
||
<mo>+</mo>
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||
<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>
|
||
<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>
|
||
<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>
|
||
<mo>+</mo>
|
||
<msup>
|
||
<mi>k</mi>
|
||
<mn>2</mn>
|
||
</msup>
|
||
<mo>−</mo>
|
||
<mn>1</mn>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mfenced>
|
||
<mspace width="1em"/>
|
||
<mo>;</mo>
|
||
<mspace width="1em"/>
|
||
<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>
|
||
</msub>
|
||
<mo>=</mo>
|
||
<msup>
|
||
<mfenced>
|
||
<mrow>
|
||
<mfrac>
|
||
<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>
|
||
</mrow>
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||
</math>
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||
</body>
|
||
</html> |