Lacunary statistical convergence of double sequences

In 1978 Freedman, Sember, and Raphael presented a definition for lacunary refinement as follows: $rho={bar{k}_{r}}$ is called a lacunary refinement of the lacunary sequence $theta ={k_{r}}$ if ${k_{r}}subseteq {bar{k}_{r}}$. They use this definition to present one side inclusion theorem with respect to the refined and non refined sequence. In 2000 Li presented the other side of the inclusion. In this paper we shall present a multidimensional analogue to the notion of refinement of lacunary sequences and use this definition to present both sides of the above inclusion theorem. In addition, we shall also present a notion of double lacunary statistically Cauchy and use this definition to establish that it is equivalent to the $S_{theta_{r,s}}$-P-convergence

Some E-J Generalized Hausdorff Matrices Not of Type

We show that there exists a regular E-J generalized Hausdorff matrix which has no zero elements on the main diagonal and which is not of type and establish several other related theorems

Scalable VLSI design for fast GF (p) montgomery inverse computation

This paper accelerates a scalable GF(p) Montgomery inversion hardware. The hardware is made of two parts a memory and a computing unit. We modified the original memory unit to include parallel shifting of all bits which was a task handled by the computing unit. The new hardware modeling, simulating, and synthesizing is performed through VHDL for several 160-bits designs showing interesting speedup to the inverse computation.British council in Saudi Arabia, KFUPM, Electrical & Computer Engineering Department of Brunel University in Uxbridg

A sequence spaces in 2 normed space defined by ideal convergence and an Orlicz function

We study some new A-sequence spaces using ideal convergence and an Orlicz function in 2-normed space and we give some relations related to these sequence spaces

Foramen Scapulae Osseum

We determined that anomaly of foramen scapula osseum on a skeleton of left scapula which has been in Department of Anatomy in Medical Faculty of Dicle University. Incisura scapulae, just medial to the basis of the coracoid process, we observed that the superior transverse scapular ligament ossifies, resulting in a complete osseous passage which is named foramen scapula osseum. A very narrow scapular foramen can produce a complete peripheral compression syndrome of the suprascapular nerve (paresis of supraspinatus and infraspinatus muscles). That variation may an important role for determining in paresis of suprascapular nerve