discriminant

English

Pronunciation

• Audio (US):

  (file)

Noun

discriminant (plural discriminants)

1. (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).
2. (geometry) The invariant (on the vector space of forms of degree d in n variables) that vanishes exactly when the corresponding hypersurface in P^n-1 is singular.

Derived terms

• discriminantal
• discriminant function
• discriminantly
• multidiscriminant
• nondiscriminant

 

Translations

in algebra

• Chinese:

  Cantonese: 判別式／判别式 (pun³ bit⁶ sik¹)

  Mandarin: 判別式／判别式 (zh) (pànbiéshì)

• Czech: diskriminant m
• Danish: diskriminant
• Finnish: diskriminantti
• French: discriminant (fr) m
• Greek: διακρίνουσα (el) f (diakrínousa)
• Hungarian: diszkrimináns (hu)
• Japanese: 判別式 (hanbetsushiki)
• Persian: مبین (fa) (mobayyen)
• Polish: wyróżnik (pl) m
• Romanian: discriminant (ro) m
• Russian: дискримина́нт (ru) m (diskriminánt)
• Spanish: discriminante
• Swedish: diskriminant (sv) c
• Tagalog: talangi
• Thai: ดิสคริมิแนนต์

Adjective

discriminant (comparative more discriminant, superlative most discriminant)

1. Serving to discriminate.

Catalan

Verb

discriminant

1. 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)

1. (algebra) discriminant

French

Pronunciation

• IPA^(key): /dis.kʁi.mi.nɑ̃/

• Audio (Paris):

  (file)

Noun

discriminant m (plural discriminants)

1. (mathematics) discriminant

Further reading

• “discriminant”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.

Latin

Verb

discrīminant

1. 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)

1. discriminant

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