DISCRIMINANT

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 P^n-1 is singular.

Adjective

discriminant (comparative more discriminant, superlative most discriminant)

Serving to discriminate.

Source: Wiktionary

Dis*crim"i*nant, n. Etym: [L. discriminans, p. pr. of discriminare.] (Math.)

Definition: The eliminant of the n partial differentials of any homogenous function of n variables. See Eliminant.

Source: Webster’s Unabridged Dictionary 1913 Edition

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