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quadratic discriminant

См. также в других словарях:

  • Quadratic classifier — A quadratic classifier is used in machine learning to separate measurements of two or more classes of objects or events by a quadric surface. It is a more general version of the linear classifier.The classification problemStatistical… …   Wikipedia

  • Discriminant — In algebra, the discriminant of a polynomial is an expression which gives information about the nature of the polynomial s roots. For example, the discriminant of the quadratic polynomial is Here, if Δ > 0, the polynomial has two real roots,… …   Wikipedia

  • Quadratic equation — This article is about quadratic equations and solutions. For more general information about quadratic functions, see Quadratic function. For more information about quadratic polynomials, see Quadratic polynomial. In mathematics, a quadratic… …   Wikipedia

  • Quadratic field — In algebraic number theory, a quadratic field is an algebraic number field K of degree two over Q. It is easy to show that the map d ↦ Q(√d) is a bijection from the set of all square free integers d ≠ 0, 1 to the set of… …   Wikipedia

  • Discriminant of an algebraic number field — A fundamental domain of the ring of integers of the field K obtained from Q by adjoining a root of x3 − x2 − 2x + 1. This fundamental domain sits inside K ⊗QR. The discriminant of K is 49 = 72.… …   Wikipedia

  • discriminant — discriminantal /dis krim euh nan tl/, adj. /di skrim euh neuhnt/, n. Math. a relatively simple expression that determines some of the properties, as the nature of the roots, of a given equation or function. [1830 40; < L discriminant (s. of… …   Universalium

  • Quadratic form — In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including… …   Wikipedia

  • quadratic equation — Math. an equation containing a single variable of degree 2. Its general form is ax2 + bx + c = 0, where x is the variable and a, b, and c are constants (a non zero). [1680 90] * * * Algebraic equation of particular importance in optimization. A… …   Universalium

  • Quadratic integral — In mathematics, a quadratic integral is an integral of the form :int frac{dx}{a+bx+cx^2}. It can be evaluated by completing the square in the denominator.:int frac{dx}{a+bx+cx^2} = frac{1}{c} int frac{dx}{left( x+ frac{b}{2c} ight)^2 + left(… …   Wikipedia

  • discriminant — 1. noun An expression that gives information about the roots of a polynomial; for example, the expression D = b 4ac determines whether the roots of the quadratic equation ax + bx + c = 0 are real and distinct (D > 0), real and …   Wiktionary

  • Linear discriminant analysis — (LDA) and the related Fisher s linear discriminant are methods used in statistics, pattern recognition and machine learning to find a linear combination of features which characterize or separate two or more classes of objects or events. The… …   Wikipedia

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