DLMF:1.6.E14 (Q193)

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DLMF:1.6.E14
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    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}}}
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    DLMF id
    DLMF:1.6.E14
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