DLMF:1.6.E16 (Q197)

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DLMF:1.6.E16
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    Statements

    Defining formula
    ϵ j ⁣ k ⁣ ℓ ⁢ ϵ ℓ ⁣ m ⁣ n = δ j , m ⁢ δ k , n - δ j , n ⁢ δ k , m , Levi-Civita 𝑗 𝑘 ℓ Levi-Civita ℓ 𝑚 𝑛 Kronecker 𝑗 𝑚 Kronecker 𝑘 𝑛 Kronecker 𝑗 𝑛 Kronecker 𝑘 𝑚 {\displaystyle{\displaystyle\epsilon_{jk\ell}\epsilon_{\ell mn}=\delta_{j,m}% \delta_{k,n}-\delta_{j,n}\delta_{k,m},}}
    0 references
    DLMF id
    DLMF:1.6.E16
    0 references
    Symbols used
    Q10768
    Defining formula
    δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}
    xml-id
    introduction.Sx4.p1.t1.r4.m5adec
    0 references
    Levi-Civita symbol
    Defining formula
    ϵ j ⁣ k ⁣ ℓ Levi-Civita 𝑗 𝑘 ℓ {\displaystyle{\displaystyle\epsilon_{\NVar{j}\NVar{k}\NVar{\ell}}}}
    xml-id
    C1.S6.E14.m2abdec
    0 references
    Q10763
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C1.S1.XMD3.m1cdec
    0 references
    Q10756
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1adec
    0 references
     
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