mirror of
https://github.com/boostorg/math.git
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299 lines
5.8 KiB
XML
299 lines
5.8 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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<mi>g</mi>
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<mi>a</mi>
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<mi>m</mi>
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<mi>m</mi>
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<mi>a</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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<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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<munderover>
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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>∞</mi>
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</munderover>
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<msup>
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<mi>t</mi>
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<mrow>
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<mi>z</mi>
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<mo>−</mo>
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<mn>1</mn>
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</mrow>
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</msup>
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<msup>
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<mi>e</mi>
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<mrow>
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<mo>−</mo>
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<mi>t</mi>
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</mrow>
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</msup>
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<mi>d</mi>
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<mi>t</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>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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<mrow>
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<msup>
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<mi>l</mi>
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<mi>a</mi>
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</msup>
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<msup>
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<mi>e</mi>
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<mrow>
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<mo>−</mo>
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<mi>l</mi>
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</mrow>
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</msup>
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</mrow>
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</mfenced>
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<mfenced>
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<mrow>
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<munderover>
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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>∞</mi>
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</munderover>
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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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<msup>
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<mi>a</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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</mover>
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</mrow>
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</msup>
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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>a</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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<mo>;</mo>
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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>a</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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<mo>∧</mo>
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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>a</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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<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>a</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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<mo>,</mo>
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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>a</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>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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<mfrac>
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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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<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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<mi>z</mi>
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</mfrac>
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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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<munder>
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<mi>lim</mi>
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<mrow>
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<mi>z</mi>
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<mo>→</mo>
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<mn>0</mn>
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</mrow>
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</munder>
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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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<mfrac>
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<mn>1</mn>
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<mi>z</mi>
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</mfrac>
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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>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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<mo>−</mo>
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<mfrac>
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<mi>π</mi>
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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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<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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<mi>z</mi>
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</mrow>
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</mfrac>
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</mrow>
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</math>
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</body>
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</html> |