DLMF:22.8.E2 (Q6967): 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 15:01, 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.m2aadec
		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.m2aadec
		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.m2aadec
		Property / Symbols used
			Q11991
		Property / Symbols used: Q11991 / rank
			Normal rank
		Property / Symbols used: Q11991 / qualifier
			Defining formula: ${\displaystyle{\displaystyle u}}$ u
		Property / Symbols used: Q11991 / qualifier
			xml-id: C22.S8.XMD1.m1adec
		Property / Symbols used
			Q11992
		Property / Symbols used: Q11992 / rank
			Normal rank
		Property / Symbols used: Q11992 / qualifier
			Defining formula: ${\displaystyle{\displaystyle v}}$ v
		Property / Symbols used: Q11992 / qualifier
			xml-id: C22.S8.XMD2.m1adec
		Property / Symbols used
			Q11993
		Property / Symbols used: Q11993 / rank
			Normal rank
		Property / Symbols used: Q11993 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q11993 / qualifier
			xml-id: C22.S8.XMD3.m1adec

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Latest revision as of 15:01, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:22.8.E2	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\operatorname{cn}(u+v)=\frac{\operatorname{cn}u\operatorname{cn}v-\operatorname{sn}u\operatorname{dn}u\operatorname{sn}v\operatorname{dn}v}{1-k^{2}{\operatorname{sn}^{2}}u{\operatorname{sn}^{2}}v},}}$

0 references

DLMF id

DLMF:22.8.E2

0 references

Symbols used

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E5.m2aadec

0 references

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E6.m2aadec

0 references

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E4.m2aadec

0 references

Q11991

Defining formula

${\displaystyle{\displaystyle u}}$

xml-id

C22.S8.XMD1.m1adec

0 references

Q11992

Defining formula

${\displaystyle{\displaystyle v}}$

xml-id

C22.S8.XMD2.m1adec

0 references

Q11993

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C22.S8.XMD3.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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