DLMF:34.3.E22 (Q9737): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: spherical harmonic / rank
 
Normal rank
Property / Symbols used: spherical harmonic / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphharmonicY{\NVar{l}}{\NVar{m}}@{\NVar{\theta}}{\NVar{\phi}}}

\sphharmonicY{\NVar{l}}{\NVar{m}}@{\NVar{\theta}}{\NVar{\phi}}
Property / Symbols used: spherical harmonic / qualifier
 
xml-id: C14.S30.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: $$\mathit{3j}$$ symbol / rank
 
Normal rank
Property / Symbols used: $$\mathit{3j}$$ symbol / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wignerthreejsym{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3}}}{\NVar{m_{1}}}{\NVar% {m_{2}}}{\NVar{m_{3}}}}

\Wignerthreejsym{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3}}}{\NVar{m_{1}}}{\NVar% {m_{2}}}{\NVar{m_{3}}}
Property / Symbols used: $$\mathit{3j}$$ symbol / qualifier
 
xml-id: C34.S2.E4.m2atdec
Property / Symbols used
 
Property / Symbols used: Q12713 / rank
 
Normal rank
Property / Symbols used: Q12713 / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle l,l_{r}}

l,l_{r}
Property / Symbols used: Q12713 / qualifier
 
xml-id: C34.S1.XMD2.m1cdec

Latest revision as of 13:42, 2 January 2020

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DLMF:34.3.E22
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{2\pi}\!\int_{0}^{\pi}\sphharmonicY{l_{1}}{m_{1}}@{\theta}{\phi}\sphharmonicY{l_{2}}{m_{2}}@{\theta}{\phi}\sphharmonicY{l_{3}}{m_{3}}@{\theta}{\phi}\sin@@{\theta}\diff{\theta}\diff{\phi}=\left(\frac{(2l_{1}+1)(2l_{2}+1)(2l_{3}+1)}{4\pi}\right)^{\frac{1}{2}}\Wignerthreejsym{l_{1}}{l_{2}}{l_{3}}{0}{0}{0}\Wignerthreejsym{l_{1}}{l_{2}}{l_{3}}{m_{1}}{m_{2}}{m_{3}}.}
    0 references
    DLMF id
    DLMF:34.3.E22
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2abdec
    0 references
    Q10770
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    Q10771
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
    sine function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
    0 references
    spherical harmonic
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphharmonicY{\NVar{l}}{\NVar{m}}@{\NVar{\theta}}{\NVar{\phi}}}
    xml-id
    C14.S30.E1.m2aadec
    0 references
    $$\mathit{3j}$$ symbol
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wignerthreejsym{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3}}}{\NVar{m_{1}}}{\NVar% {m_{2}}}{\NVar{m_{3}}}}
    xml-id
    C34.S2.E4.m2atdec
    0 references
    Q12713
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle l,l_{r}}
    xml-id
    C34.S1.XMD2.m1cdec
    0 references
     
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