Definitions
There are 2 meanings of the word
Antisymmetric.
Antisymmetric - as an adjective
(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.
(of certain mathematical objects) whose sign changes on the application of a matrix transpose or some generalisation thereof:
Example Sentences
"In mathematics, the antisymmetric property of a relation means that whenever x is related to y, then y is not related to x."
"An antisymmetric matrix is a square matrix that satisfies the property Aij = -Aji for all indices i and j."
"The antisymmetric part of a tensor can be obtained by subtracting its symmetric part from itself."
"The antisymmetric function f(x, y) = x^2 - y^2 is equal to its negative when x = -y."
"An antisymmetric binary relation on a set A can be represented by an adjacency matrix that has zeros on the main diagonal."
Word Game Points
Is ANTISYMMETRIC a valid Scrabble word?
Yes, antisymmetric is valid for both Scrabble US and EU
ANTISYMMETRIC has a SCRABBLE points total of 22.
Is ANTISYMMETRIC a valid Words With Friends word?
Yes, antisymmetric is valid for Words With Friends
Valid WordANTISYMMETRIC has a WORDS WITH FRIENDS points total of 25.
Is ANTISYMMETRIC a valid WordFeud word?
Yes, antisymmetric is valid for WordFeud
Valid WordANTISYMMETRIC has a WORDFEUD points total of 23.
