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ALL meanings of discriminant

dis·crim·i·nant
D d
  • noun discriminant An agent or characteristic that enables things, people, or classes to be distinguished from one another. 1
  • noun discriminant a relatively simple expression that determines some of the properties, as the nature of the roots, of a given equation or function. 1
  • noun discriminant (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). 0
  • noun discriminant (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. 0
  • adjective discriminant Serving to discriminate. 0
  • noun discriminant an algebraic expression related to the coefficients of a polynomial equation whose value gives information about the roots of the polynomial 0
  • noun discriminant an expression whose value or sign is used to classify functions 0
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