Algebraic
61Algebraic analysis — The phrase algebraic analysis of is often used as a synonym for algebraic study of , however this article is about a combination of algebraic topology, algebraic geometry and complex analysis started by Mikio Sato in 1959. Algebraic analysis is… …
62Algebraic 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… …
63algebraic topology — Math. the branch of mathematics that deals with the application of algebraic methods to topology, esp. the study of homology and homotopy. * * * Field of mathematics that uses algebraic structures to study transformations of geometric objects. It …
64Algebraic connectivity — The algebraic connectivity of a graph G is the second smallest eigenvalue of the Laplacian matrix of G . [Weisstein, Eric W. [http://mathworld.wolfram.com/AlgebraicConnectivity.html Algebraic Connectivity] . From MathWorld A Wolfram Web… …
65algebraic 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… …
66Algebraic 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… …
67Algebraic solution — The solution of an algebraic equation, often one that seeks zeros of a polynomial, is sometimes said to admit an algebraic solution or a solution in radicals if function that expresses the solution in terms of the coefficients relies only on… …
68Algebraic 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 +… …
69Algebraic modeling language — General algebraic modeling system Pour les articles homonymes, voir GAMS. General Algebraic Modeling System (GAMS) est un logiciel de modélisation. GAMS a été le premier langage de modélisation algébrique (Algebraic modeling language ou AML) et… …
70algebraic 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.… …
