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- <?xml version='1.0'?>
- <!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
- 'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
- [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
- <html xmlns='http://www.w3.org/1999/xhtml'>
- <head><title>spherical_3</title>
- <!-- MathML created with MathCast Equation Editor version 0.88 -->
- </head>
- <body>
- <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
- <mrow>
- <mtext>sph_legendre</mtext>
- <mfenced>
- <mrow>
- <mi>l</mi>
- <mo>,</mo>
- <mi>m</mi>
- <mo>,</mo>
- <mi>θ</mi>
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- </mfenced>
- <mspace width="1em"/>
- <mo>=</mo>
- <mspace width="1em"/>
- <msubsup>
- <mi>Y</mi>
- <mrow>
- <mi>l</mi>
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- <mi>m</mi>
- </msubsup>
- <mfenced>
- <mrow>
- <mi>θ</mi>
- <mo>,</mo>
- <mn>0</mn>
- </mrow>
- </mfenced>
- <mspace width="1em"/>
- <mo>=</mo>
- <mspace width="1em"/>
- <msup>
- <mfenced>
- <mrow>
- <mo>−</mo>
- <mn>1</mn>
- </mrow>
- </mfenced>
- <mi>m</mi>
- </msup>
- <msqrt>
- <mrow>
- <mfrac>
- <mrow>
- <mn>2</mn>
- <mi>l</mi>
- <mo>+</mo>
- <mn>1</mn>
- </mrow>
- <mrow>
- <mn>4</mn>
- <mi>π</mi>
- </mrow>
- </mfrac>
- <mfrac>
- <mrow>
- <mfenced>
- <mrow>
- <mi>l</mi>
- <mo>−</mo>
- <mi>m</mi>
- </mrow>
- </mfenced>
- <mo>!</mo>
- </mrow>
- <mrow>
- <mfenced>
- <mrow>
- <mi>l</mi>
- <mo>+</mo>
- <mi>m</mi>
- </mrow>
- </mfenced>
- <mo>!</mo>
- </mrow>
- </mfrac>
- </mrow>
- </msqrt>
- <msubsup>
- <mi>P</mi>
- <mrow>
- <mi>l</mi>
- </mrow>
- <mi>m</mi>
- </msubsup>
- <mfenced>
- <mrow>
- <mi>cos</mi>
- <mi>θ</mi>
- </mrow>
- </mfenced>
- </mrow>
- </math>
- </body>
- </html>
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