DLMF:21.5.E4 (Q6881): Difference between revisions

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Revision as of 14:49, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:49, 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
			DLMF:21.5.E1
		Property / Symbols used: DLMF:21.5.E1 / rank
			Normal rank
		Property / Symbols used: DLMF:21.5.E1 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\boldsymbol{{\Gamma}}}}$ \boldsymbol{{\Gamma}}
		Property / Symbols used: DLMF:21.5.E1 / qualifier
			xml-id: C21.S5.XMD1.m1cdec
		Property / Symbols used
			Q11963
		Property / Symbols used: Q11963 / rank
			Normal rank
		Property / Symbols used: Q11963 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\xi(\boldsymbol{{\Gamma}})}}$ \xi(\boldsymbol{{\Gamma}})
		Property / Symbols used: Q11963 / qualifier
			xml-id: C21.S5.XMD2.m1dec

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Latest revision as of 14:49, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:21.5.E4	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\theta\left(\left[[\mathbf{C}\boldsymbol{{\Omega}}+\mathbf{D}]^{-1}\right]^{\mathrm{T}}\mathbf{z}\middle|[\mathbf{A}\boldsymbol{{\Omega}}+\mathbf{B}][\mathbf{C}\boldsymbol{{\Omega}}+\mathbf{D}]^{-1}\right)=\xi(\boldsymbol{{\Gamma}})\sqrt{\det[\mathbf{C}\boldsymbol{{\Omega}}+\mathbf{D}]}e^{\pi i\mathbf{z}\cdot\left[[\mathbf{C}\boldsymbol{{\Omega}}+\mathbf{D}]^{-1}\mathbf{C}\right]\cdot\mathbf{z}}\theta\left(\mathbf{z}\middle|\boldsymbol{{\Omega}}\right).}}$

0 references

DLMF id

DLMF:21.5.E4

0 references

Symbols used

Riemann theta function

Defining formula

${\displaystyle{\displaystyle\theta\left(\NVar{\mathbf{z}}\middle|\NVar{\boldsymbol{{\Omega}}}\right)}}$

xml-id

C21.S2.E1.m2adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2adec

0 references

Q10765

Defining formula

${\displaystyle{\displaystyle\det}}$

xml-id

C1.S3.SS1.m1aadec

0 references

base of natural logarithm

Defining formula

${\displaystyle{\displaystyle\mathrm{e}}}$

xml-id

C4.S2.E11.m2adec

0 references

imaginary unit

Defining formula

${\displaystyle{\displaystyle\mathrm{i}}}$

xml-id

C1.S9.E1.m2adec

0 references

Q11960

Defining formula

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

xml-id

C21.S1.XMD3.m1dec

0 references

DLMF:21.5.E1

Defining formula

${\displaystyle{\displaystyle\boldsymbol{{\Gamma}}}}$

xml-id

C21.S5.XMD1.m1cdec

0 references

Q11963

Defining formula

${\displaystyle{\displaystyle\xi(\boldsymbol{{\Gamma}})}}$

xml-id

C21.S5.XMD2.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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