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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)
- (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.
Translations
in algebra
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Adjective
discriminant (comparative more discriminant, superlative most discriminant)
- Serving to discriminate.
Dutch
Pronunciation
- Hyphenation: dis‧cri‧mi‧nant
Noun
discriminant m (plural discriminanten, diminutive discriminantje n)
- (algebra) discriminant