odd permutation

odd permutation
a permutation of a set of n elements, x1, x2, ... , xn, which permutes the product of all differences of the form (xi-xj), where i is less than j, into the negative of the product. Cf. even permutation.
[1925-30]

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  • even permutation — noun : a permutation that is produced by the successive application of an even number of interchanges of pairs of elements compare odd permutation herein * * * Math. a permutation of a set of n elements, x1, x2, ... xn, that leaves unchanged the… …   Useful english dictionary

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