DLMF:21.6.E8 (Q6896): Difference between revisions

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Revision as of 22:19, 29 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 14:52, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			Riemann theta function with characteristics
		Property / Symbols used: Riemann theta function with characteristics / rank
			Normal rank
		Property / Symbols used: Riemann theta function with characteristics / qualifier
			Defining formula: ${\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\NVar{\boldsymbol{{\alpha}}}}{\NVar{\boldsymbol{{\beta}}}}\left(\middle|missing\right)\)\@add@PDF@RDFa@triples\end{document}}}$ \Riemannthetachar{\NVar{\boldsymbol{{\alpha}}}}{\NVar{\boldsymbol{{\beta}}}}@{% \NVar{\mathbf{z}}}{\NVar{\boldsymbol{{\Omega}}}}
		Property / Symbols used: Riemann theta function with characteristics / qualifier
			xml-id: C21.S2.E5.m2abdec
		Property / Symbols used
			Q10784
		Property / Symbols used: Q10784 / rank
			Normal rank
		Property / Symbols used: Q10784 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\in}}$ \in
		Property / Symbols used: Q10784 / qualifier
			xml-id: introduction.Sx4.p1.t1.r10.m2addec
		Property / Symbols used
			Q10818
		Property / Symbols used: Q10818 / rank
			Normal rank
		Property / Symbols used: Q10818 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathbb{Z}}}$ \Integers
		Property / Symbols used: Q10818 / qualifier
			xml-id: introduction.Sx4.p2.t1.r20.m2addec
		Property / Symbols used
			Q11959
		Property / Symbols used: Q11959 / rank
			Normal rank
		Property / Symbols used: Q11959 / qualifier
			Defining formula: ${\displaystyle{\displaystyle g}}$ g
		Property / Symbols used: Q11959 / qualifier
			xml-id: C21.S1.XMD1.m1edec
		Property / Symbols used
			Q11960
		Property / Symbols used: Q11960 / rank
			Normal rank
		Property / Symbols used: Q11960 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}$ \boldsymbol{{\Omega}}
		Property / Symbols used: Q11960 / qualifier
			xml-id: C21.S1.XMD3.m1ddec
		Property / Symbols used
			Q11961
		Property / Symbols used: Q11961 / rank
			Normal rank
		Property / Symbols used: Q11961 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\boldsymbol{{\alpha}}}}$ \boldsymbol{{\alpha}}
		Property / Symbols used: Q11961 / qualifier
			xml-id: C21.S1.XMD4.m1bdec
		Property / Symbols used
			Q11962
		Property / Symbols used: Q11962 / rank
			Normal rank
		Property / Symbols used: Q11962 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\boldsymbol{{\beta}}}}$ \boldsymbol{{\beta}}
		Property / Symbols used: Q11962 / qualifier
			xml-id: C21.S1.XMD5.m1bdec
		Property / Symbols used
			Q11969
		Property / Symbols used: Q11969 / rank
			Normal rank
		Property / Symbols used: Q11969 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\boldsymbol{{\delta}}}}$ \boldsymbol{{\delta}}
		Property / Symbols used: Q11969 / qualifier
			xml-id: C21.S6.XMD4.m1dec
		Property / Symbols used
			Q11970
		Property / Symbols used: Q11970 / rank
			Normal rank
		Property / Symbols used: Q11970 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\boldsymbol{{\gamma}}}}$ \boldsymbol{{\gamma}}
		Property / Symbols used: Q11970 / qualifier
			xml-id: C21.S6.XMD5.m1dec

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Latest revision as of 14:52, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:21.6.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\alpha}}}{\boldsymbol{{\gamma}}}\left(\mathbf{z}_{1}\middle|\boldsymbol{{\Omega}}\right)\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\beta}}}{\boldsymbol{{\delta}}}\left(\mathbf{z}_{2}\middle|\boldsymbol{{\Omega}}\right)=\sum_{\boldsymbol{{\nu}}\in{\mathbb{Z}^{g}}/\left(2{\mathbb{Z}^{g}}\right)}\theta\genfrac{[}{]}{0.0pt}{}{\frac{1}{2}[\boldsymbol{{\alpha}}+\boldsymbol{{\beta}}+\boldsymbol{{\nu}}]}{\boldsymbol{{\gamma}}+\boldsymbol{{\delta}}}\left(\mathbf{z}_{1}+\mathbf{z}_{2}\middle|2\boldsymbol{{\Omega}}\right)\*\theta\genfrac{[}{]}{0.0pt}{}{\frac{1}{2}[\boldsymbol{{\alpha}}-\boldsymbol{{\beta}}+\boldsymbol{{\nu}}]}{\boldsymbol{{\gamma}}-\boldsymbol{{\delta}}}\left(\mathbf{z}_{1}-\mathbf{z}_{2}\middle|2\boldsymbol{{\Omega}}\right).}}$

0 references

DLMF id

DLMF:21.6.E8

0 references

Symbols used

Riemann theta function with characteristics

Defining formula

${\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.m2abdec

0 references

Q10784

Defining formula

${\displaystyle{\displaystyle\in}}$

xml-id

introduction.Sx4.p1.t1.r10.m2addec

0 references

Q10818

Defining formula

${\displaystyle{\displaystyle\mathbb{Z}}}$

xml-id

introduction.Sx4.p2.t1.r20.m2addec

0 references

Q11959

Defining formula

${\displaystyle{\displaystyle g}}$

xml-id

C21.S1.XMD1.m1edec

0 references

Q11960

Defining formula

${\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}$

xml-id

C21.S1.XMD3.m1ddec

0 references

Q11961

Defining formula

${\displaystyle{\displaystyle\boldsymbol{{\alpha}}}}$

xml-id

C21.S1.XMD4.m1bdec

0 references

Q11962

Defining formula

${\displaystyle{\displaystyle\boldsymbol{{\beta}}}}$

xml-id

C21.S1.XMD5.m1bdec

0 references

Q11969

Defining formula

${\displaystyle{\displaystyle\boldsymbol{{\delta}}}}$

xml-id

C21.S6.XMD4.m1dec

0 references

Q11970

Defining formula

${\displaystyle{\displaystyle\boldsymbol{{\gamma}}}}$

xml-id

C21.S6.XMD5.m1dec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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