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Webster 1913 Edition


Discriminant

Dis-crim′i-nant

,
Noun.
[L.
discriminans
, p. pr. of
discriminare
.]
(Math.)
The eliminant of the n partial differentials of any homogenous function of n variables. See
Eliminant
.

Definition 2024


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 Pn-1 is singular.

Translations

Adjective

discriminant (comparative more discriminant, superlative most discriminant)

  1. Serving to discriminate.

Dutch

Pronunciation

  • Hyphenation: dis‧cri‧mi‧nant

Noun

discriminant m (plural discriminanten, diminutive discriminantje n)

  1. (algebra) discriminant

French

Pronunciation

  • IPA(key): /dis.kʁi.mi.nɑ̃/

Noun

discriminant m (plural discriminants)

  1. (mathematics) discriminant

Latin

Verb

discrīminant

  1. third-person plural present active indicative of discrīminō