DLMF:34.3.E20 (Q9735): 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.m2adec
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.m2ardec
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.m1adec

Latest revision as of 13:42, 2 January 2020

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DLMF:34.3.E20
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphharmonicY{l_{1}}{m_{1}}@{\theta}{\phi}\sphharmonicY{l_{2}}{m_{2}}@{\theta}{\phi}=\sum_{l,m}\left(\frac{(2l_{1}+1)(2l_{2}+1)(2l+1)}{4\pi}\right)^{\frac{1}{2}}\Wignerthreejsym{l_{1}}{l_{2}}{l}{m_{1}}{m_{2}}{m}\conj{\sphharmonicY{l}{m}@{\theta}{\phi}}\Wignerthreejsym{l_{1}}{l_{2}}{l}{0}{0}{0},}
    0 references
    DLMF id
    DLMF:34.3.E20
    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.m2adec
    0 references
    complex conjugate
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \conj{\NVar{z}}}
    xml-id
    C1.S9.E11.m2adec
    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.m2adec
    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.m2ardec
    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.m1adec
    0 references
     
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