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nonsymmetry

noun

The property of a binary relation that is not symmetric; that is, there exist x and y such that Rxy holds but Ryx does not hold.

Opposite

Scrabble 21

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Meanings

nounnonsymmetry (uncountable)

uncountablehuman sciencesThe property of a binary relation that is not symmetric; that is, there exist x and y such that Rxy holds but Ryx does not hold.
A relation is nonsymmetric if it is not symmetric; i.e., there is at least one ordered pair (a,b) such that aRb but not bRa.
2005, Steven G. Krantz, Handbook of Logic and Proof Techniques, Springer, page 58

Synonyms & antonyms

Opposite

Origin

From non- + symmetry.

Full word history & related roots →

Cite this entry

APA

nonsymmetry. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/nonsymmetry

MLA

“nonsymmetry.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/nonsymmetry. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “nonsymmetry,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/nonsymmetry.

Source: nonsymmetry on Wiktionary, CC BY-SA 4.0.