DLMF:22.15.E11 (Q7106): Difference between revisions

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

0 k 1 0 𝑘 1 {\displaystyle{\displaystyle 0\leq k\leq 1}}

0\leq k\leq 1
Property / constraint: 0 k 1 0 𝑘 1 {\displaystyle{\displaystyle 0\leq k\leq 1}} / rank
 
Normal rank

Revision as of 18:10, 30 December 2019

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DLMF:22.15.E11
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    Statements

    x = 0 sn ( x , k ) d t ( 1 - t 2 ) ( 1 - k 2 t 2 ) , 𝑥 superscript subscript 0 Jacobi-elliptic-sn 𝑥 𝑘 𝑡 1 superscript 𝑡 2 1 superscript 𝑘 2 superscript 𝑡 2 {\displaystyle{\displaystyle x=\int_{0}^{\operatorname{sn}\left(x,k\right)}% \frac{\mathrm{d}t}{\sqrt{(1-t^{2})(1-k^{2}t^{2})}},}}
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    DLMF:22.15.E11
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    0 k 1 0 𝑘 1 {\displaystyle{\displaystyle 0\leq k\leq 1}}
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