algebraic function

algebraic function
Any function that only uses the operations of addition, subtraction, multiplication, division and raising to a rational power

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  • Algebraic function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… …   The Collaborative International Dictionary of English

  • Algebraic function — In mathematics, an algebraic function is informally a function which satisfies a polynomial equation whose coefficients are themselves polynomials. For example, an algebraic function in one variable x is a solution y for an equation: a n(x)y^n+a… …   Wikipedia

  • algebraic function — noun : a function whose dependence on the independent variable or variables is determined by an algebraic equation * * * Math. a function that can be expressed as a root of an equation in which a polynomial, in the independent and dependent… …   Useful english dictionary

  • algebraic function — Math. a function that can be expressed as a root of an equation in which a polynomial, in the independent and dependent variables, is set equal to zero. * * * …   Universalium

  • Function — Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.] 1. The act of executing or performing any duty, office, or calling; performance. In the function of his public …   The Collaborative International Dictionary of English

  • Algebraic curve — In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with… …   Wikipedia

  • Algebraic differential equation — Note: Differential algebraic equation is something different. In mathematics, an algebraic differential equation is a differential equation that can be expressed by means of differential algebra. There are several such notions, according to the… …   Wikipedia

  • Algebraic space — In mathematics, an algebraic space is a generalization of the schemes of algebraic geometry introduced by Michael Artin for use in deformation theory.DefinitionAn algebraic space X comprises a schemeOne can always assume that U is an affine… …   Wikipedia

  • Algebraic equation — In mathematics, an algebraic equation over a given field is an equation of the form:P = Qwhere P and Q are (possibly multivariate) polynomials over that field. For example:y^4+frac{xy}{2}=frac{x^3}{3} xy^2+y^2 frac{1}{7} is an algebraic equation… …   Wikipedia

  • function — /fungk sheuhn/, n. 1. the kind of action or activity proper to a person, thing, or institution; the purpose for which something is designed or exists; role. 2. any ceremonious public or social gathering or occasion. 3. a factor related to or… …   Universalium

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