antisymmetric (redirected from Skew-symmetric)
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Related to Skew-symmetric: Skew-symmetric matrix
, Skew-symmetric bilinear form
R is antisymmetric if,
for all x and y, x R y and y R x => x == y.
I.e. no two different elements are mutually related.
Partial orders and total orders are antisymmetric. If R
is also symmetric
x R y => y R x
x R y => x == y
I.e. different elements are not related.