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106 lines
2.1 KiB
XML
106 lines
2.1 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><title>spherical_3</title>
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<!-- MathML created with MathCast Equation Editor version 0.88 -->
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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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<mtext>sph_legendre</mtext>
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<mfenced>
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<mrow>
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<mi>l</mi>
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<mo>,</mo>
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<mi>m</mi>
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<mo>,</mo>
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<mi>θ</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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<msubsup>
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<mi>Y</mi>
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<mrow>
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<mi>l</mi>
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</mrow>
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<mi>m</mi>
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</msubsup>
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<mfenced>
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<mrow>
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<mi>θ</mi>
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<mo>,</mo>
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<mn>0</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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<msup>
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<mfenced>
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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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</mfenced>
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<mi>m</mi>
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</msup>
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<msqrt>
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<mrow>
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<mfrac>
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<mrow>
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<mn>2</mn>
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<mi>l</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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<mn>4</mn>
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<mi>π</mi>
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</mrow>
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</mfrac>
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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>l</mi>
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<mo>−</mo>
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<mi>m</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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<mrow>
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<mfenced>
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<mrow>
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<mi>l</mi>
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<mo>+</mo>
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<mi>m</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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</mfrac>
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</mrow>
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</msqrt>
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<msubsup>
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<mi>P</mi>
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<mrow>
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<mi>l</mi>
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</mrow>
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<mi>m</mi>
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</msubsup>
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<mfenced>
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<mrow>
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<mi>cos</mi>
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<mi>θ</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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</body>
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</html>
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