[{"word":"irreducible","phonetic":"/ˌɪɹɪˈdjuːsɪbəl/","phonetics":[{"text":"/ˌɪɹɪˈdjuːsɪbəl/","audio":""}],"meanings":[{"partOfSpeech":"noun","definitions":[{"definition":"Such a polynomial","synonyms":[],"antonyms":[]}],"synonyms":[],"antonyms":[]},{"partOfSpeech":"adjective","definitions":[{"definition":"Not able to be reduced or lessened.","synonyms":[],"antonyms":["unincreasable"]},{"definition":"Not able to be brought to a simpler or reduced form.","synonyms":[],"antonyms":[]},{"definition":"(of a polynomial) Unable to be factorized into polynomials of lower degree, as (x2 + 1).","synonyms":[],"antonyms":[]},{"definition":"(of a fraction) Whose numerator and denominator share no common factor greater than 1.","synonyms":[],"antonyms":[]},{"definition":"(of an integer) Unable to be factored into smaller integers; prime.","synonyms":[],"antonyms":[]},{"definition":"(of an element of a ring) that its only divisors are units and associates.","synonyms":[],"antonyms":[]},{"definition":"(of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.","synonyms":[],"antonyms":[]},{"definition":"(of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.","synonyms":[],"antonyms":[]}],"synonyms":[],"antonyms":["reducible","unincreasable"]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/irreducible"]}]