[{"word":"discriminants","phonetics":[],"meanings":[{"partOfSpeech":"noun","definitions":[{"definition":"An expression that gives information about the roots of a polynomial; for example, the expression D = b2 - 4ac determines whether the roots of the quadratic equation ax2 + bx + c = 0 are real and distinct (D > 0), real and equal (D = 0) or complex (D < 0).","synonyms":[],"antonyms":[]},{"definition":"The invariant (on the vector space of forms of degree d in n variables) that vanishes exactly when the corresponding hypersurface in Pn-1 is singular.","synonyms":[],"antonyms":[]}],"synonyms":[],"antonyms":[]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/discriminant","https://en.wiktionary.org/wiki/discriminants"]}]