DLMF:21.2.E10 (Q6866): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2ahdec

Latest revision as of 14:47, 2 January 2020

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DLMF:21.2.E10
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    Statements

    Defining formula
    θ 2 ⁡ ( π ⁢ z | Ω ) = θ ⁢ [ 1 2 0 ] ⁡ ( z | Ω ) , Jacobi-theta-tau 2 𝜋 𝑧 Ω Riemann-theta-characterstics 1 2 0 𝑧 Ω {\displaystyle{\displaystyle\theta_{2}\left(\pi z\middle|\Omega\right)=\theta% \genfrac{[}{]}{0.0pt}{}{\tfrac{1}{2}}{0}\left(z\middle|\Omega\right),}}
    0 references
    DLMF id
    DLMF:21.2.E10
    0 references
    Symbols used
    Q11946
    Defining formula
    θ j ⁡ ( z | τ ) Jacobi-theta-tau 𝑗 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}}
    xml-id
    C20.S2.SS1.m1abdec
    0 references
    Riemann theta function with characteristics
    Defining formula
    θ ⁢ [ 𝜶 𝜷 ] ⁡ ( | missing ) Riemann-theta-characterstics 𝜶 𝜷 missing {\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\NVar{\boldsymbol{{% \alpha}}}}{\NVar{\boldsymbol{{\beta}}}}\left(\middle|missing\right)\)\@add@PDF@RDFa@triples\end{document}}}
    xml-id
    C21.S2.E5.m2addec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ahdec
    0 references
     
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