DLMF:19.7#Ex11 (Q6192): Difference between revisions

From DRMF
Jump to navigation Jump to search
‎Created a new Item: Wikidata Toolkit example test item creation
 
‎Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / constraint
 

sin ⁡ β = k 1 ⁢ sin ⁡ ϕ ≤ 1 𝛽 subscript 𝑘 1 italic-ϕ 1 {\displaystyle{\displaystyle\sin\beta=k_{1}\sin\phi\leq 1}}

\sin@@{\beta}=k_{1}\sin@@{\phi}\leq 1
Property / constraint: sin ⁡ β = k 1 ⁢ sin ⁡ ϕ ≤ 1 𝛽 subscript 𝑘 1 italic-ϕ 1 {\displaystyle{\displaystyle\sin\beta=k_{1}\sin\phi\leq 1}} / rank
 
Normal rank
Property / constraint
 

k 1 = 1 / k subscript 𝑘 1 1 𝑘 {\displaystyle{\displaystyle k_{1}=1/k}}

k_{1}=1/k
Property / constraint: k 1 = 1 / k subscript 𝑘 1 1 𝑘 {\displaystyle{\displaystyle k_{1}=1/k}} / rank
 
Normal rank
Property / constraint
 

sin ⁡ β = k 1 ⁢ sin ⁡ ϕ ≤ 1 𝛽 subscript 𝑘 1 italic-ϕ 1 {\displaystyle{\displaystyle\sin\beta=k_{1}\sin\phi\leq 1}}

\sin\beta=k_{1}\sin\phi\leq 1
Property / constraint: sin ⁡ β = k 1 ⁢ sin ⁡ ϕ ≤ 1 𝛽 subscript 𝑘 1 italic-ϕ 1 {\displaystyle{\displaystyle\sin\beta=k_{1}\sin\phi\leq 1}} / rank
 
Normal rank

Latest revision as of 18:05, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:19.7#Ex11
No description defined

    Statements

    Defining formula
    Π ⁡ ( ϕ , α 2 , k 1 ) = k ⁢ Π ⁡ ( β , k 2 ⁢ α 2 , k ) , elliptic-integral-third-kind-Pi italic-ϕ superscript 𝛼 2 subscript 𝑘 1 𝑘 elliptic-integral-third-kind-Pi 𝛽 superscript 𝑘 2 superscript 𝛼 2 𝑘 {\displaystyle{\displaystyle\Pi\left(\phi,\alpha^{2},k_{1}\right)=k\Pi\left(% \beta,k^{2}\alpha^{2},k\right),}}
    0 references
    DLMF id
    DLMF:19.7#Ex11
    0 references
    constraint
    sin ⁡ β = k 1 ⁢ sin ⁡ ϕ ≤ 1 𝛽 subscript 𝑘 1 italic-ϕ 1 {\displaystyle{\displaystyle\sin\beta=k_{1}\sin\phi\leq 1}}
    0 references
    k 1 = 1 / k subscript 𝑘 1 1 𝑘 {\displaystyle{\displaystyle k_{1}=1/k}}
    0 references
    sin ⁡ β = k 1 ⁢ sin ⁡ ϕ ≤ 1 𝛽 subscript 𝑘 1 italic-ϕ 1 {\displaystyle{\displaystyle\sin\beta=k_{1}\sin\phi\leq 1}}
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6192&oldid=19296"