mirror of
https://github.com/boostorg/math.git
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465 lines
8.6 KiB
XML
465 lines
8.6 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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<msubsup>
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<mi>I</mi>
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<mrow>
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<mi>x</mi>
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</mrow>
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<mrow>
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<mo>−</mo>
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<mn>1</mn>
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</mrow>
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</msubsup>
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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>b</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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<mi>a</mi>
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<mi>p</mi>
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<mi>B</mi>
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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>b</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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<mfrac>
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<mn>1</mn>
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<mi>a</mi>
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</mfrac>
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</mrow>
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</msup>
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<mo>+</mo>
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<mfrac>
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<mrow>
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<mi>b</mi>
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<mo>−</mo>
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<mn>1</mn>
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</mrow>
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<mrow>
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<mi>a</mi>
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<mo>+</mo>
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<mn>1</mn>
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</mrow>
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</mfrac>
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<msup>
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<mfenced>
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<mrow>
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<mi>a</mi>
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<mi>p</mi>
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<mi>B</mi>
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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>b</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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<mfrac>
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<mn>2</mn>
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<mi>a</mi>
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</mfrac>
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</mrow>
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</msup>
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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>b</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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<mfenced>
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<mrow>
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<msup>
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<mi>a</mi>
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<mn>2</mn>
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</msup>
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<mo>+</mo>
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<mn>3</mn>
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<mi>b</mi>
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<mi>a</mi>
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<mo>−</mo>
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<mi>a</mi>
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<mo>+</mo>
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<mn>5</mn>
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<mi>b</mi>
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<mo>−</mo>
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<mn>4</mn>
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</mrow>
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</mfenced>
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</mrow>
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<mrow>
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<mn>2</mn>
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<msup>
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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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<mn>1</mn>
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</mrow>
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</mfenced>
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<mn>2</mn>
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</msup>
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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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<mn>2</mn>
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</mrow>
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</mfenced>
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</mrow>
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</mfrac>
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<msup>
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<mfenced>
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<mrow>
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<mi>a</mi>
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<mi>p</mi>
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<mi>B</mi>
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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>b</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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<mfrac>
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<mn>3</mn>
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<mi>a</mi>
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</mfrac>
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</mrow>
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</msup>
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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>I</mi>
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<mi>x</mi>
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</msub>
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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>a</mi>
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<mo>+</mo>
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<mi>β</mi>
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</mrow>
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</mfenced>
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<mspace width="1em"/>
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<mspace width="1em"/>
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<mo>;</mo>
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<mspace width="1em"/>
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<mspace width="1em"/>
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<mi>β</mi>
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<mo><</mo>
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<msqrt>
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<mi>a</mi>
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</msqrt>
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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>I</mi>
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<mi>x</mi>
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</msub>
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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>b</mi>
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</mrow>
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</mfenced>
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<mspace width="1em"/>
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<mspace width="1em"/>
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<mo>;</mo>
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<mspace width="1em"/>
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<mspace width="1em"/>
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<mn>0.2</mn>
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<mo>≤</mo>
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<mfrac>
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<mi>a</mi>
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<mrow>
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<mi>a</mi>
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<mo>+</mo>
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<mi>b</mi>
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</mrow>
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</mfrac>
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<mo>≤</mo>
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<mn>0.8</mn>
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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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<msubsup>
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<mi>I</mi>
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<mrow>
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<mi>x</mi>
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</mrow>
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<mrow>
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<mo>−</mo>
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<mn>1</mn>
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</mrow>
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</msubsup>
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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>b</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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<mi>a</mi>
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<mi>p</mi>
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<mi>B</mi>
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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>b</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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<mfrac>
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<mn>1</mn>
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<mi>a</mi>
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</mfrac>
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</mrow>
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</msup>
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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>p</mi>
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<mspace width="1em"/>
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<mo>=</mo>
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<mspace width="1em"/>
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<mn>1</mn>
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<mo>−</mo>
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<mi>q</mi>
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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>I</mi>
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<mi>x</mi>
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</msub>
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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>b</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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<mn>1</mn>
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<mo>−</mo>
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<msub>
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<mi>I</mi>
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<mi>y</mi>
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</msub>
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<mfenced>
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<mrow>
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<mi>b</mi>
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<mo>,</mo>
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<mi>a</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>y</mi>
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<mo>=</mo>
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<mn>1</mn>
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<mo>−</mo>
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<mi>x</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>y</mi>
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<mspace width="1em"/>
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<mo>=</mo>
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<mspace width="1em"/>
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<mn>1</mn>
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<mo>−</mo>
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<msubsup>
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<mi>I</mi>
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<mrow>
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<mi>x</mi>
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</mrow>
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<mrow>
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<mo>−</mo>
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<mn>1</mn>
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</mrow>
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</msubsup>
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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>b</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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<mi>b</mi>
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<mi>q</mi>
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<mi>B</mi>
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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>b</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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<mfrac>
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<mn>1</mn>
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<mi>b</mi>
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</mfrac>
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</mrow>
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</msup>
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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>x</mi>
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<mn>0</mn>
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</msub>
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<mspace width="1em"/>
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<mo>=</mo>
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<mspace width="1em"/>
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<mfrac>
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<msub>
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<mi>x</mi>
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<mi>g</mi>
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</msub>
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<mrow>
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<mn>1</mn>
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<mo>+</mo>
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<msub>
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<mi>x</mi>
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<mi>g</mi>
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</msub>
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</mrow>
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</mfrac>
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<mspace width="1em"/>
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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>x</mi>
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<mi>g</mi>
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</msub>
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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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<mi>a</mi>
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<mi>p</mi>
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<mi>B</mi>
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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>b</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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<mfrac>
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<mn>1</mn>
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<mi>a</mi>
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</mfrac>
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</mrow>
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</msup>
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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>y</mi>
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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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<mn>1</mn>
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<mo>−</mo>
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<msup>
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<mi>p</mi>
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<mrow>
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<mi>b</mi>
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<mi>B</mi>
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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>b</mi>
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</mrow>
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</mfenced>
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</mrow>
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</msup>
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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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<mi>b</mi>
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</mfrac>
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</mrow>
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</msup>
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</mrow>
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</math>
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</body>
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</html> |