DLMF:21.6.E3 (Q6891): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: set of matrices (locally) / rank
 
Normal rank
Property / Symbols used: set of matrices (locally) / qualifier
 
test:

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

\mathcal{K}
Property / Symbols used: set of matrices (locally) / qualifier
 
xml-id: C21.S6.XMD2.m1adec

Revision as of 13:50, 2 January 2020

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DLMF:21.6.E3
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \prod_{j=1}^{h}\Riemanntheta@{\sum_{k=1}^{h}T_{jk}\mathbf{z}_{k}}{\boldsymbol{{\Omega}}}=\frac{1}{\mathcal{D}^{g}}\sum_{\mathbf{A}\in\mathcal{K}}\sum_{\mathbf{B}\in\mathcal{K}}e^{2\pi i\trace\left[\frac{1}{2}\transpose{\mathbf{A}}\boldsymbol{{\Omega}}\mathbf{A}+\transpose{\mathbf{A}}[\mathbf{Z}+\mathbf{B}]\right]}\*\prod_{j=1}^{h}\Riemanntheta@{\mathbf{z}_{j}+\boldsymbol{{\Omega}}\mathbf{a}_{j}+\mathbf{b}_{j}}{\boldsymbol{{\Omega}}},}
    0 references
    DLMF id
    DLMF:21.6.E3
    0 references
    Symbols used
    Riemann theta function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Riemanntheta@{\NVar{\mathbf{z}}}{\NVar{\boldsymbol{{\Omega}}}}}
    xml-id
    C21.S2.E1.m2adec
    0 references
    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
    Q10784
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \in}
    xml-id
    introduction.Sx4.p1.t1.r10.m2adec
    0 references
    base of natural logarithm
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
    xml-id
    C4.S2.E11.m2adec
    0 references
    imaginary unit
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q11967
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \trace\NVar{\mathbf{A}}}
    xml-id
    introduction.Sx4.p2.t1.r7.m3adec
    0 references
    Q11959
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle g}
    xml-id
    C21.S1.XMD1.m1adec
    0 references
    Q11966
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}
    xml-id
    C21.S1.XMD2.m1bdec
    0 references
    Q11960
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \boldsymbol{{\Omega}}}
    xml-id
    C21.S1.XMD3.m1dec
    0 references
    Q11968
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle T_{jk}}
    xml-id
    C21.S6.XMD1.m1dec
    0 references
    set of matrices (locally)
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{K}}
    xml-id
    C21.S6.XMD2.m1adec
    0 references
     
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