Definitions For Discriminant

Adjective

Serving to discriminate.

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.

Derived terms

{{der2, en

Translations

Czech: diskriminant, m Danish: diskriminant Finnish: diskriminantti French: discriminant, m Greek: διακρίνουσα, f Hungarian: diszkrimináns Japanese: 判別式 (hanbetsushiki) Polish: wyróżnik, m Romanian: discriminant, m Russian: дискримина́нт, m Spanish: determinante Swedish: diskriminant, , c Tagalog: talangi Thai: ดิสคริมิแนนต์