The binary set {0, 1} together with modulo-2 addition and multiplication is called a binary field, which is denoted by F2. The binary field F2 is defined in [1]. A vector space over F2 is called a binary vector space. The set of all binary vectors of length n forms an n-dimensional vector space Vn over F2. Binary fields and n-dimensional binary vector spaces play an important role in practical ...

Let T be a continuous linear operator on a Hausdorff topological vector space X over the field C. We show that if T is N -supercyclic, i.e., if X has an N dimensional subspace whose orbit under T is dense in X , then T ∗ has at most N eigenvalues (counting geometric multiplicity). We then show that N -supercyclicity cannot occur nontrivially in the finite dimensional setting: the orbit of an N ...

The Future Tube T + n of n-dimensional Minkowski spacetime may be identified with the reduced phase space P , or " space of motions " of a particle moving in (n + 1)-dimensional Anti-de-Sitter Spacetime. Both are isomorphic to a homogeneous bounded domain in C n whose Shilov boundary may be identified with n-dimensional conformally compactified Minkowski spacetime.

Non Uniform Rational B-splines (NURBs) are proved to be very promising for metamodeling in engineering problems, because they have unique properties such as local modification scheme, strong convex hull property, and infinitely differentiability, etc. Since NURBs are defined by control points, knot vector, and weights associated with control points, the precision of NURBs is influenced by all o...

In this paper we study the static Einstein–Maxwell space when it is conformal to an n-dimensional pseudo-Euclidean space, which invariant under action of $$(n-1)$$ -dimensional translation group. We also provide a complete classification such space.

casimir forces of massive ferrnionic dirac fields are calculated for parallel plates geometry in spatial space with dimension d and imposing bag model boundary conditions. it is shown that in the range of ma>>l where m is mass of fields quanta and a is the separation distance of the plates, it is equal to massive bosonic fields casimir force for each degree of freedom. we argue this equality ex...

We prove that the spectral structure on $N$-dimensional standard sphere of radius $(N - 1)^{1/2}$ compatible with a projection onto first $n$-coordinates converges to $n$-dimensional Gaussian space variance 1 as $N \rightarrow \infty$. also show analogue for Dirichlet eigenvalue problem ball in and halfspace space.