: Matemáticas: Levi-Civita symbol

mathematical physics > tensor calculus > Levi-Civita symbol

mathematical analysis > calculus > tensor calculus > Levi-Civita symbol

geometry > differential geometry > tensor calculus > Levi-Civita symbol

algebra > multilinear algebra > Levi-Civita symbol

Levi-Civita symbol

In mathematics, particularly in linear algebra, tensor analysis, and differential geometry, the Levi-Civita symbol or Levi-Civita epsilon represents a collection of numbers; defined from the sign of a permutation of the natural numbers 1, 2, ..., n, for some positive integer n. It is named after the Italian mathematician and physicist Tullio Levi-Civita. Other names include the permutation symbol, antisymmetric symbol, or alternating symbol, which refer to its antisymmetric property and definition in terms of permutations.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Levi-Civita_symbol)

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