Normed vector space - Wikipedia, the free encyclopedia
All norms on a finite-dimensional vector space are equivalent from a topological point as they induce the same topology (although the resulting metric spaces need not be the same
Topological vector space - Wikipedia, the free encyclopedia
If a vector space is finite dimensional, then there is a unique Hausdorff topology on it. Thus any finite dimensional topological vector space is isomorphic to K
Vector Space -- from Wolfram MathWorld
A vector space V is a set that is closed under finite vector addition and scalar multiplication. The basic example is n-dimensional Euclidean space R^n, where every element is represented by a list of
Analogy to finite dimensional vector space
Analogy to (finite dimensional) vector space. Let (an -dimensional vector). Let be an matrix. Two interpretations of are: Linear formation (new vector in a fixed coordinate system). Change of
Banach space from FOLDOC
Completeness means that every Cauchy sequence converges to an element of the space. All finite-dimensional real and complex normed vector spaces are complete and thus are Banach spaces
Review of Finite Dimensional Vector Spaces
Review of Finite Dimensional Vector Spaces Definition: An -dimensional vector space is a set of objects along with a definition of how to add two elements of and a definition of how to scale an element
finite
finite D01DAF Two-dimensional quadrature , finite region method of lines , finite differences , one space variabl
PlanetMath: dimension vector space
Let be a vector space over a field . We say that is finite-dimensional if there exists a finite basis of . Otherwise we call infinite-dimensional . It can be shown that every basis of has the same cardinalit
Infinite Dimensional Vector Spaces
The process of extending the algebraic and geometrical methods of linear algebra from matrices to differential or integral operators consists of going from a finite dimensional vector space, typically
Polaris : ricerca
E. , Zerbini S. , "ONE LOOP EFFECTIVE POTENTIAL FOR SCALAR AND VECTOR FIELDS ON HIGHER DIMENSIONAL A. , Cognola G. , Zerbini S. , "QUANTUM FIELDS IN HYPERBOLIC SPACE-TIMES WITH FINITE SPATIAL
finite+dimensional+vector+space: finite+dimensional+vector+space