[{"word":"antisymmetric","phonetics":[],"meanings":[{"partOfSpeech":"adjective","definitions":[{"definition":"(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.","synonyms":[],"antonyms":[]},{"definition":"(of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:","synonyms":[],"antonyms":[]}],"synonyms":["skew-symmetric"],"antonyms":[]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/antisymmetric"]}]