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Levi Civita and Kronecker Delta identity [duplicate] One of the popular Kronecker delta and Levi-Civita identities reads $$\epsilon_ {ijk}\epsilon_ {ilm}=\delta_ {jl}\delta_ {km}-\delta_ {kl}\delta_ {jm} $$ Now, is there an intuition or mnemonic that you use, that can help one learn these or similar mathematical identities more easily?
calculus - Absolute value $\epsilon - \delta$ limit definition . . . My first equivalence is the definition of absolute value (or if you like the case-by-case definition used by both Brian and DonAntonio, then I used both the definition and the equivalence $- (x-a)<\epsilon\iff (x-a)>-\epsilon$)