discriminant

discriminant

English

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
• nondiscriminant

 

Translations

in algebra

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

Adjective

discriminant (comparative more discriminant, superlative most discriminant)

1. Serving to discriminate.

---

Catalan

Verb

discriminant

1. present participle 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

From French discriminant.

Adjective

discriminant m or n (feminine singular discriminantă, masculine plural discriminanți, feminine and neuter plural discriminante)

1. discriminant

Declension

Declension of discriminant

		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