DLMF:1.6.E18 (Q199)

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DLMF:1.6.E18
No description defined

    Statements

    Defining formula
    a j ⁢ 𝐞 j × b k ⁢ 𝐞 k = ϵ j ⁣ k ⁣ ℓ ⁢ a j ⁢ b k ⁢ 𝐞 ℓ ; subscript 𝑎 𝑗 subscript 𝐞 𝑗 subscript 𝑏 𝑘 subscript 𝐞 𝑘 Levi-Civita 𝑗 𝑘 ℓ subscript 𝑎 𝑗 subscript 𝑏 𝑘 subscript 𝐞 ℓ {\displaystyle{\displaystyle a_{j}\mathbf{e}_{j}\times b_{k}\mathbf{e}_{k}=% \epsilon_{jk\ell}a_{j}b_{k}\mathbf{e}_{\ell};}}
    0 references
    DLMF id
    DLMF:1.6.E18
    0 references
    Symbols used
    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.m2addec
    0 references
    Q10763
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C1.S1.XMD3.m1edec
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    Q10756
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1cdec
    0 references
    Q10794
    Defining formula
    𝐞 j subscript 𝐞 𝑗 {\displaystyle{\displaystyle\mathbf{e}_{j}}}
    xml-id
    C1.S6.XMD5.m1bdec
    0 references
     
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