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antisymmetric

The correct spelling is antisymmetric.

How to pronounce antisymmetric

adjective

Say it like: Ant-isy-mme-tri-c

The correct spelling is antisymmetric. (of a binary relation R on a set S) Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the proper…

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Definition

adjective

  1. 1.(of a binary relation R on a set S) Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.
  2. 2.(of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:

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