discriminant

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English

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Wikipedia

Pronunciation

  • (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 Pn-1 is singular.

Derived terms

Translations

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/
  • (file)
  • Hyphenation: dis‧cri‧mi‧nant
  • Rhymes: -ɑnt

Noun

discriminant m (plural discriminanten, diminutive discriminantje n)

  1. (algebra) discriminant

French

Pronunciation

Noun

discriminant m (plural discriminants)

  1. (mathematics) discriminant

Further reading

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