The Hurwitz complex continued fraction algorithm generates Gaussian rational approximations to an arbitrary complex number α by way of a sequence (a0, a1, . . .) of Gaussian integers determined by a0 = [α], z0 = α − a0, (where [u] denotes the Gaussian integer nearest u) and for j ≥ 1, aj = [1/zj−1], zj = 1/zj−1−aj . The rational approximations are the finite continued fractions [a0; a1, . . . ,...

Fraction reduction is a basic computation for rational numbers. P system is a new computing model, while the current methods for fraction reductions are not available in these systems. In this paper, we propose a method of fraction reduction and discuss how to carry it out in cell-like P systems with the membrane structure and the rules with priority designed. During the application of fraction...

Variable Time-Fraction Collaborative Communications Patrick Tooher, Ph.D. Concordia University 2009 In order to improve the performance of the wireless channel, collaborative communications has recently been proposed. In such a scenario, a source wishing to transmit a signal to a destination can be aided by an otherwise idle transmitter (labeled a relay). Due to the half duplex constraint, the ...

Artemisinin extracted from Artemisia annua L. is the best medicine with the highest efficiency, the most effective and the lowest toxicity in treating ague nowadays. At present, most studies focus on artemisinin and its derivatives, while the study and report about the other active components are rare. This paper purposed to further discover new indication of Artemisia annua L. connecting with ...

The buoyancy-driven boundary-layer flow from a heated horizontal circular cylinder immersed in a water-based alumina (Al2O3) nanofluid is investigated using variable properties for nanofluid viscosity. Two different viscosity models are utilized to evaluate heat transfer enhancement from a cylinder. Exact analytic solutions of the problem are attained employing a novel...

Objective(s) In the present study, the differences in the relaxant effects of aqueous, ethyl acetate and n-butanol fractions of Rosa damascena on tracheal smooth muscle of guinea pigs were examined. Materials and Methods The relaxant effects of three cumulative concentrations of each fraction (0.1, 0.2 and 0.4 g%) in comparison with saline and three cumulative concentrations of theophylline ...

Abstract When teaching fractions, teachers make instructional decisions about if, when, and how to use the many different types of fraction models manipulatives. In this study, we sought insights into their pedagogical reasoning with representations via preferences, both for solving tasks themselves (in general specific concepts operations). Nearly 200 practising Australian primary participated...