DLMF:22.6.E2 (Q6936): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Jacobian elliptic function / rank
 
Normal rank
Property / Symbols used: Jacobian elliptic function / qualifier
 
Defining formula:

cs ( z , k ) Jacobi-elliptic-cs 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cs}\left(\NVar{z},\NVar{k}\right)}}

\Jacobiellcsk@{\NVar{z}}{\NVar{k}}
Property / Symbols used: Jacobian elliptic function / qualifier
 
xml-id: C22.S2.E9.m3adec

Revision as of 14:56, 2 January 2020

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DLMF:22.6.E2
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    Statements

    1 + cs 2 ( z , k ) = k 2 + ds 2 ( z , k ) = ns 2 ( z , k ) , 1 Jacobi-elliptic-cs 2 𝑧 𝑘 superscript 𝑘 2 Jacobi-elliptic-ds 2 𝑧 𝑘 Jacobi-elliptic-ns 2 𝑧 𝑘 {\displaystyle{\displaystyle 1+{\operatorname{cs}^{2}}\left(z,k\right)=k^{2}+{% \operatorname{ds}^{2}}\left(z,k\right)={\operatorname{ns}^{2}}\left(z,k\right)% ,}}
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    DLMF:22.6.E2
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    cs ( z , k ) Jacobi-elliptic-cs 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cs}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E9.m3adec
    0 references