DLMF:21.5.E7 (Q6884): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Riemann theta function / rank
 
Normal rank
Property / Symbols used: Riemann theta function / qualifier
 
Defining formula:

θ ( 𝐳 | 𝛀 ) Riemann-theta 𝐳 𝛀 {\displaystyle{\displaystyle\theta\left(\NVar{\mathbf{z}}\middle|\NVar{% \boldsymbol{{\Omega}}}\right)}}

\Riemanntheta@{\NVar{\mathbf{z}}}{\NVar{\boldsymbol{{\Omega}}}}
Property / Symbols used: Riemann theta function / qualifier
 
xml-id: C21.S2.E1.m2acdec

Revision as of 14:49, 2 January 2020

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DLMF:21.5.E7
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    𝚪 = [ 𝐈 g 𝐁 𝟎 g 𝐈 g ] θ ( 𝐳 | 𝛀 + 𝐁 ) = θ ( 𝐳 + 1 2 diag 𝐁 | 𝛀 ) . 𝚪 subscript 𝐈 𝑔 𝐁 subscript 0 𝑔 subscript 𝐈 𝑔 Riemann-theta 𝐳 𝛀 𝐁 Riemann-theta 𝐳 1 2 diagonal 𝐁 𝛀 {\displaystyle{\displaystyle\boldsymbol{{\Gamma}}=\begin{bmatrix}\mathbf{I}_{g% }&\mathbf{B}\\ \boldsymbol{{0}}_{g}&\mathbf{I}_{g}\end{bmatrix}\Rightarrow\theta\left(\mathbf% {z}\middle|\boldsymbol{{\Omega}}+\mathbf{B}\right)=\theta\left(\mathbf{z}+% \tfrac{1}{2}\operatorname{diag}\mathbf{B}\middle|\boldsymbol{{\Omega}}\right).}}
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    DLMF:21.5.E7
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    θ ( 𝐳 | 𝛀 ) Riemann-theta 𝐳 𝛀 {\displaystyle{\displaystyle\theta\left(\NVar{\mathbf{z}}\middle|\NVar{% \boldsymbol{{\Omega}}}\right)}}
    C21.S2.E1.m2acdec
    0 references