Department of Mathematics, University of Jammu, Jammu and Kashmir, India. The concept of topological vector spaces was introduced by Kolmogroff [1] in 1934. Its properties were further studied by ...

We are now ready to define vector spaces. The idea is to observe that sets of column vectors, or row vectors, or more generally matrices of a given size, all come equipped with a notion of addition ...

Abstract: In this paper, we introduce methods of encoding propositional logic programs in vector spaces. Interpretations are represented by vectors and programs are represented by matrices. The least ...

We investigate the size of the distance set determined by two subsets of finite dimensional vector spaces over finite fields. A lower bound of the size is given explicitly in terms of cardinalities of ...

An Introduction to Sobolev Spaces provides a brief introduction to Sobolev spaces at a simple level with illustrated examples. Readers will learn about the properties of these types of vector spaces ...

Abstract: The algebraic and geometric aspects of a minimal base of a rational vector space χ are further developed by exploring the structure of an ordered minimal base (omb) and establishing the ...