An element d of a semigroup S is called divisible if it has roots of arbitrary order; that is, for every n ∈ N there is an element dn in S such that dn = d . If the elements dn can be taken in a prescribed subset D of S then d is said to be divisible in D . In the algebraic as well as in the topological theory of groups and semigroups divisibility is the major basic concept which allows the int...

Electrophoretic differential transport of ionic species in a solution moving from a large reservoir into a small channel is investigated numerically. The system setup is similar to the experiments of Polson, Savin, and Hayes (J. Microcol. Sep. 2000, 12, 98), where the bulk flow into a fused-silica capillary was driven by a pressure differential. A critical condition for achieving the defined di...

The Lennard-Jones(12-6) and the Exponential-6 potential functions are commonly used in computational softwares for describing the van der Waals interaction energy. Some softwares allow switching between these two potentials under prescribed condition(s) that attempt to connect the parameter relationship between the two functions. Here we propose a technique by which the parameter relationship b...

In a canonical way, one can think of B as “two-parameter Brownian motion”. In this article, we address the following question: “Given a measurable function υ : R → R+, what can be said about the distribution of ∫ [0,1]2 υ(Bs) ds?” The one-parameter variant of this question is both easy-to-state and well understood. Indeed, if b designates standard Brownian motion, the Laplace transform of ∫ 1 0...

This paper proposes an effective algorithm approach to hybrid control systems combining fuzzy logic and conventional control techniques of controlling the speed of induction motor assumed to operate in high-performance drives environment. The introducing of fuzzy logic in the control systems helps to achieve good dynamical response, disturbance rejection and low sensibility to parameter variati...

Recently, a new entropy based divergence measure has been introduced which is much like Kullback-Leibler divergence. This entropy measures the distance between an empirical and a prescribed survival function and is a lot easier to compute in continuous distributions than the K-L divergence. In this paper we show that this distance converges to zero with increasing sample size and we apply it to...

Determine an optimal set of design parameter of PR whose DW fits a prescribed workspace as closely as possible is an important and foremost design task before manufacturing. In this paper, an optimal design method of a linear Delta robot (LDR) to obtain the prescribed cuboid dexterous workspace (PCDW) is proposed. The optical algorithms are based on the concept of performance chart. The perform...

BACKGROUND The literature suggests that positive results of catheter urine cultures frequently lead to unnecessary antimicrobial prescribing, which therefore represents an important target for stewardship. OBJECTIVE To assess the appropriateness of antibiotic prescribing in response to the results of urine cultures from patients with indwelling urinary catheters. METHODS This retrospective ...

BACKGROUND Neuropsychiatric symptoms of dementia are often treated through the prescription of one or more psychotropic medications. However, limited efficacy and potential harmful side-effects has resulted in efforts to reduce the use of psychotropic medication in this population, particularly for those living in long-term care. OBJECTIVES This study sought to describe the pattern of central...

During Otologic surgery, and more broadly during microsurgery, the surgeon encounters several difficulties due to confined spaces micro-manipulations. The purpose of paper is design a robot with prescribed regular workspace shape handle an endoscope assist surgery. A spherical parallel mechanism two degrees freedom analysed in its parameter space. This composed three legs (2USP-U) connect base ...