We study quasi-random properties of k-uniform hypergraphs. Our central notion is uniform edge distribution with respect to large vertex sets. We will find several equivalent characterisations of this property and our work can be viewed as an extension of the well known Chung-Graham-Wilson theorem for quasi-random graphs. Moreover, let Kk be the complete graph on k vertices and M(k) the line gra...

We study the nonrelativistic limit of quantum fields for an inertial and a noninertial observer. show that particle states appear as superposition relativistic particles in different frames. Hence, is frame dependent. detail this result when observer has uniform constant acceleration. Only low accelerations, accelerated agrees with about nature locally. In such quasi-inertial regime, both obser...

The aim of this paper is to extend the approximate quasi-interpolation on a uniform grid by dilated shifts of a smooth and rapidly decaying function on a uniform grid to scattered data quasi-interpolation. It is shown that high order approximation of smooth functions up to some prescribed accuracy is possible, if the basis functions, which are centered at the scattered nodes, are multiplied by ...

Certain generalized Banach's contraction mapping principles on metric spaces are unified and/or extended to Hausdorff uniform spaces. Also given are some relationships between the set of all cluster points of the Picard iterates and the set of all fixed points for the mapping. These are obtained by assuming that the latter set is nonempty and by considering certain "quasi"-contractive condition...

In this paper, by means of operations (is called in [1, 2, 3] φ,ψ) we shall define φψ-continuity between two L-fuzzy quasi-uniform spaces. We shall prove that φψ-continuity between two L-fuzzy quasi-uniformity induces φψ-continuity between L-fuzzy topology generated by them. We shall investigate some Theorems on L-fuzzy uniform spaces. 2000 Mathematics Subject Classification:54A40, 03E72

We present results from a preliminary study on modeling Laser wakefield acceleration (LWFA) with OSIRIS in a Lorentz boosted frame using a quasi-3D algorithm. In the quasi-3D algorithm, the fields and currents are expanded into azimuthal harmonics and only a limited number of harmonics are kept. Field equations in (r, z) space are solved for a desired number of harmonics in φ. To suppress the n...