discriminant
English
Noun
discriminant (plural discriminants)
- (algebra) 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).
- (geometry) 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.
Derived terms
Translations
in algebra
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Adjective
discriminant (comparative more discriminant, superlative most discriminant)
- Serving to discriminate.
Catalan
Dutch
Pronunciation
Audio (file) - Hyphenation: dis‧cri‧mi‧nant
French
Pronunciation
- IPA(key): /dis.kʁi.mi.nɑ̃/
Audio (Paris) (file)
Further reading
- “discriminant” in le Trésor de la langue française informatisé (The Digitized Treasury of the French Language).
Latin
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