basis of set
31Radial basis function network — A radial basis function network is an artificial neural network that uses radial basis functions as activation functions. They are used in function approximation, time series prediction, and control.Network architectureRadial basis function (RBF) …
32ar-1*, themat. (a)re-, heavy basis arǝ-, rē- and i-basis (a)rī̆ -, rēi- — ar 1*, themat. (a)re , heavy basis arǝ , rē and i basis (a)rī̆ , rēi English meaning: to move, pass Deutsche Übersetzung: “fũgen, passen” Note: Root ar 1*, themat. (a)re , heavy basis arǝ , rē and i Basis (a)rī̆ , rēi : “to move …
33Gröbner basis — In computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating subset of an ideal I in a polynomial ring R. One can view it as a multivariate, non linear… …
34Hilbert's basis theorem — In mathematics, Hilbert s basis theorem states that every ideal in the ring of multivariate polynomials over a field is finitely generated. This can be translated into algebraic geometry as follows: every algebraic set over a field can be… …
35Open set — Example: The points (x, y) satisfying x2 + y2 = r2 are colored blue. The points (x, y) satisfying x2 + y2 < r2 are colored red. The red points form an open set. The blue points form a closed set. The union of the red and blue points is a… …
36Complete set of commuting observables — In quantum mechanics, a complete set of commuting observables (CSCO) is a set of commuting operators whose eigenvalues completely specify the state of a system (Gasiorowicz 1974, p. 119). For example, in the case of the hydrogen atom, the… …
37Characteristic set — The mathematical concept of a characteristic set was discovered in the late forties by J.F. Ritt. Besides Gröbner basis method, it provides an alternative algorithmic way for solving multivariate polynomial equations or differential equations.In… …
38Wu's method of characteristic set — Wenjun Wu s method is an algorithm for solving multivariate polynomial equations introduced in the late 1970s by the Chinese mathematician Wen Tsun Wu. This method is based on the mathematical concept of characteristic set introduced in the late… …
39Dual basis — In linear algebra, a dual basis is a set of vectors that forms a basis for the dual space of a vector space. For a finite dimensional vector space V, the dual space V* is isomorphic to V, and for any given set of basis vectors {e1, …, en} of V,… …
40K-set (geometry) — In discrete geometry, a k set of a finite point set S in the Euclidean plane is a subset of k elements of S that can be strictly separated from the remaining points by a line. More generally, in Euclidean space of higher dimensions, a k set of a… …
