DLMF:22.15.E12 (Q7107): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / constraint
 

- 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}

-1\leq x\leq 1
Property / constraint: - 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}} / rank
 
Normal rank

Revision as of 18:10, 30 December 2019

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DLMF:22.15.E12
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    Statements

    arcsn ( x , k ) = 0 x d t ( 1 - t 2 ) ( 1 - k 2 t 2 ) , inverse-Jacobi-elliptic-sn 𝑥 𝑘 superscript subscript 0 𝑥 𝑡 1 superscript 𝑡 2 1 superscript 𝑘 2 superscript 𝑡 2 {\displaystyle{\displaystyle\operatorname{arcsn}\left(x,k\right)=\int_{0}^{x}% \frac{\mathrm{d}t}{\sqrt{(1-t^{2})(1-k^{2}t^{2})}},}}
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    DLMF:22.15.E12
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    - 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}
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