discriminant
English
Pronunciation
Audio (US): (file)
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
Verb
discriminant
- gerund of discriminar
Dutch
Etymology
Borrowed from Latin discrīmināns.
Pronunciation
- IPA(key): /ˌdɪs.kri.miˈnɑnt/
Audio: (file) - Hyphenation: dis‧cri‧mi‧nant
- Rhymes: -ɑnt
Noun
discriminant m (plural discriminanten, diminutive discriminantje n)
French
Pronunciation
- IPA(key): /dis.kʁi.mi.nɑ̃/
Audio (Paris): (file)
Noun
discriminant m (plural discriminants)
Further reading
- “discriminant”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.
Latin
Verb
discrīminant
- third-person plural present active indicative of discrīminō
Romanian
Etymology
Borrowed from French discriminant.
Adjective
discriminant m or n (feminine singular discriminantă, masculine plural discriminanți, feminine and neuter plural discriminante)
Declension
singular | plural | |||||||
---|---|---|---|---|---|---|---|---|
masculine | neuter | feminine | masculine | neuter | feminine | |||
nominative- accusative |
indefinite | discriminant | discriminantă | discriminanți | discriminante | |||
definite | discriminantul | discriminanta | discriminanții | discriminantele | ||||
genitive- dative |
indefinite | discriminant | discriminante | discriminanți | discriminante | |||
definite | discriminantului | discriminantei | discriminanților | discriminantelor |