# 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.

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Compare even permutation.

## Origin of odd permutation^{}

First recorded in 1925–30

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018