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 Pn-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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Word of the Day

10 June 2025

COMMUNICATIONS

(noun) the discipline that studies the principles of transmiting information and the methods by which it is delivered (as print or radio or television etc.); “communications is his major field of study”


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