DLMF:22.8.E23 (Q6988): Difference between revisions

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Revision as of 22:39, 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 15:05, 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
			Jacobian elliptic function
		Property / Symbols used: Jacobian elliptic function / rank
			Normal rank
		Property / Symbols used: Jacobian elliptic function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}$ \Jacobiellcnk@{\NVar{z}}{\NVar{k}}
		Property / Symbols used: Jacobian elliptic function / qualifier
			xml-id: C22.S2.E5.m2akdec
		Property / Symbols used
			Jacobian elliptic function
		Property / Symbols used: Jacobian elliptic function / rank
			Normal rank
		Property / Symbols used: Jacobian elliptic function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}$ \Jacobielldnk@{\NVar{z}}{\NVar{k}}
		Property / Symbols used: Jacobian elliptic function / qualifier
			xml-id: C22.S2.E6.m2akdec
		Property / Symbols used
			Jacobian elliptic function
		Property / Symbols used: Jacobian elliptic function / rank
			Normal rank
		Property / Symbols used: Jacobian elliptic function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}$ \Jacobiellsnk@{\NVar{z}}{\NVar{k}}
		Property / Symbols used: Jacobian elliptic function / qualifier
			xml-id: C22.S2.E4.m2akdec
		Property / Symbols used
			Q10765
		Property / Symbols used: Q10765 / rank
			Normal rank
		Property / Symbols used: Q10765 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\det}}$ \det
		Property / Symbols used: Q10765 / qualifier
			xml-id: C1.S3.SS1.m1aadec
		Property / Symbols used
			Q11985
		Property / Symbols used: Q11985 / rank
			Normal rank
		Property / Symbols used: Q11985 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11985 / qualifier
			xml-id: C22.S1.XMD3.m1ddec
		Property / Symbols used
			Q11984
		Property / Symbols used: Q11984 / rank
			Normal rank
		Property / Symbols used: Q11984 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q11984 / qualifier
			xml-id: C22.S1.XMD4.m1cdec

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Latest revision as of 15:05, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:22.8.E23	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\begin{vmatrix}\operatorname{sn}z_{1}\operatorname{cn}z_{1}&\operatorname{cn}z_{1}\operatorname{dn}z_{1}&\operatorname{cn}z_{1}&\operatorname{dn}z_{1}\\ \operatorname{sn}z_{2}\operatorname{cn}z_{2}&\operatorname{cn}z_{2}\operatorname{dn}z_{2}&\operatorname{cn}z_{2}&\operatorname{dn}z_{2}\\ \operatorname{sn}z_{3}\operatorname{cn}z_{3}&\operatorname{cn}z_{3}\operatorname{dn}z_{3}&\operatorname{cn}z_{3}&\operatorname{dn}z_{3}\\ \operatorname{sn}z_{4}\operatorname{cn}z_{4}&\operatorname{cn}z_{4}\operatorname{dn}z_{4}&\operatorname{cn}z_{4}&\operatorname{dn}z_{4}\end{vmatrix}=0.}}$

0 references

DLMF id

DLMF:22.8.E23

0 references

Symbols used

Jacobian elliptic function

Defining formula

${\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}$

xml-id

C22.S2.E5.m2akdec

0 references

Jacobian elliptic function

Defining formula

${\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}$

xml-id

C22.S2.E6.m2akdec

0 references

Jacobian elliptic function

Defining formula

${\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}$

xml-id

C22.S2.E4.m2akdec

0 references

Q10765

Defining formula

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

xml-id

C1.S3.SS1.m1aadec

0 references

Q11985

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C22.S1.XMD3.m1ddec

0 references

Q11984

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C22.S1.XMD4.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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