Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
DLMF:1.6.E14 - MaRDI portal

DLMF:1.6.E14 (Q164)

From MaRDI portal
No description defined
Language Label Description Also known as
English
DLMF:1.6.E14
No description defined

    Statements

    DLMF defining formula
    ϵ j ⁣ k ⁣ ℓ = { + 1 , if  ⁢ j , k , ℓ ⁢  is even permutation of  ⁢ 1 , 2 , 3 , - 1 , if  ⁢ j , k , ℓ ⁢  is odd permutation of  ⁢ 1 , 2 , 3 , 0 , otherwise . Levi-Civita 𝑗 𝑘 ℓ cases 1 if  𝑗 𝑘 ℓ  is even permutation of  1 2 3 1 if  𝑗 𝑘 ℓ  is odd permutation of  1 2 3 0 otherwise {\displaystyle{\displaystyle\epsilon_{jk\ell}=\begin{cases}+1,&\text{if }j,k,% \ell\text{ is even permutation of }1,2,3,\\ -1,&\text{if }j,k,\ell\text{ is odd permutation of }1,2,3,\\ \phantom{-}0,&\text{otherwise}.\end{cases}}}
    0 references
    Symbols used
    integer
    DLMF defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C1.S1.XMD3.m1bdec
    0 references
    integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1dec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q164&oldid=24163217"
    Powered by MediaWiki