DLMF:20.7.E20 (Q6815): Difference between revisions

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Changed an Item: Wikidata Toolkit example test statement addition
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q11946 / rank
 
Normal rank
Property / Symbols used: Q11946 / qualifier
 
Defining formula:

θ j ( z | τ ) Jacobi-theta-tau 𝑗 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}}

\Jacobithetatau{\NVar{j}}@{\NVar{z}}{\NVar{\tau}}
Property / Symbols used: Q11946 / qualifier
 
xml-id: C20.S2.SS1.m1aedec
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.m2abdec
Property / Symbols used
 
Property / Symbols used: Q10769 / rank
 
Normal rank
Property / Symbols used: Q10769 / qualifier
 
Defining formula:

equal-by definition {\displaystyle{\displaystyle\equiv}}

\defeq
Property / Symbols used: Q10769 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r9.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11949 / rank
 
Normal rank
Property / Symbols used: Q11949 / qualifier
 
Defining formula:

τ 𝜏 {\displaystyle{\displaystyle\tau}}

\tau
Property / Symbols used: Q11949 / qualifier
 
xml-id: C20.S1.XMD4.m1edec

Latest revision as of 14:39, 2 January 2020

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DLMF:20.7.E20
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    Statements

    B B ( τ ) = 1 / ( θ 3 ( 0 | τ ) θ 4 ( 0 | τ ) θ 3 ( 1 4 π | τ ) ) , equal-by definition 𝐵 𝐵 𝜏 1 Jacobi-theta-tau 3 0 𝜏 Jacobi-theta-tau 4 0 𝜏 Jacobi-theta-tau 3 1 4 𝜋 𝜏 {\displaystyle{\displaystyle B\equiv B(\tau)=\ifrac{1}{\left(\theta_{3}\left(0% \middle|\tau\right)\theta_{4}\left(0\middle|\tau\right)\theta_{3}\left(\tfrac{% 1}{4}\pi\middle|\tau\right)\right)},}}
    0 references
    DLMF:20.7.E20
    0 references
    θ j ( z | τ ) Jacobi-theta-tau 𝑗 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}}
    C20.S2.SS1.m1aedec
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2abdec
    0 references
    equal-by definition {\displaystyle{\displaystyle\equiv}}
    introduction.Sx4.p1.t1.r9.m2aadec
    0 references
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    C20.S1.XMD4.m1edec
    0 references