Algebraic modeling language — Algebraic Modeling Languages (AML) are high level programming languages for describing and solving high complexity problems for large scale mathematical computation (i.e. large scale optimization type problems). One particular advantage of AMLs… … Wikipedia
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 number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… … Wikipedia
Algebraic geometry — This Togliatti surface is an algebraic surface of degree five. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It… … Wikipedia
algebraic equation — Math. an equation in the form of a polynomial having a finite number of terms and equated to zero, as 2x3 + 4x2 x + 7 = 0. * * * Mathematical statement of equality between algebraic expressions. An expression is algebraic if it involves a finite… … Universalium
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 geometry — Math. the study of sets that are defined by algebraic equations. [1895 1900] * * * Study of geometric objects expressed as equations and represented by graphs in a given coordinate system. In contrast to Euclidean geometry, algebraic geometry… … Universalium
Algebraic set — In mathematics, an algebraic set over a field K is the set of solutions in K n ( n tuples of elements of K ) of a set of simultaneous equations: P 1( X 1, ..., X n ) = 0: P 2( X 1, ..., X n ) = 0and so on up to: P m ( X 1, ..., X n ) = 0for some… … Wikipedia
Algebraic Riccati equation — The algebraic Riccati equation is either of the following matrix equations:the continuous time algebraic Riccati equation (CARE):: A^T X + X A X B B^T X + Q = 0 , or the discrete time algebraic Riccati equation (DARE):: X = A^T X A (A^T X B)(R +… … Wikipedia
algebraic number — Math. 1. a root of an algebraic equation with integral coefficients. 2. root1 (def. 10b). [1930 35] * * * real number for which there exists a polynomial equation with integer coefficients such that the given real number is a solution.… … Universalium
