Usually means: Opposite pairs never both included.
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We found 16 dictionaries that define the word antisymmetric:

General (9 matching dictionaries)
  1. antisymmetric: Merriam-Webster
  2. antisymmetric: Oxford Learner's Dictionaries
  3. antisymmetric: Collins English Dictionary
  4. antisymmetric: Wiktionary
  5. antisymmetric: Infoplease Dictionary
  6. antisymmetric: Dictionary.com
  7. Antisymmetric: Wikipedia, the Free Encyclopedia
  8. antisymmetric: TheFreeDictionary.com
  9. antisymmetric: Merriam-Webster

Computing (3 matching dictionaries)
  1. antisymmetric: Free On-line Dictionary of Computing
  2. antisymmetric: Dictionary of Algorithms and Data Structures
  3. antisymmetric: Encyclopedia

Medicine (1 matching dictionary)
  1. online medical dictionary (No longer online)

Science (3 matching dictionaries)
  1. Antisymmetric: Eric Weisstein's World of Mathematics
  2. antisymmetric, antisymmetric, antisymmetric: PlanetMath Encyclopedia
  3. FOLDOP - Free On Line Dictionary Of Philosophy (No longer online)

Definitions from Wiktionary (antisymmetric)

adjective:  (set theory, order theory, 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.
adjective:  (linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:
adjective:  (of a matrix) Whose transpose equals its negative (i.e., Mᵀ = −M);
adjective:  (of a tensor) That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);
adjective:  (of a bilinear form) For which B(w,v) = -B(v,w).

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