On Convolved Generalized Fibonacci and Lucas Polynomials

We define the convolved h(x)-Fibonacci polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the h(x)-Fibonacci and h(x)-Lucas polynomials. Moreover we obtain the convolved h(x)-Fibonacci polynomials form a family of Hessenberg matrices

Information systems offshore outsourcing: a descriptive analysis

Purpose - The present paper has as its aim to deepen in the study of Information Systems Offshore Outsourcing, proposing three essential steps to make this decision: weighing up the advantages and risks of Offshore Outsourcing; analysing the taxonomy of this phenomenon; and determining its current geography. Design/Methodology/Approach - With that objective in mind, it was decided to base the research work on the literature about this topic and the review of reports and statistics coming from different sources (consultants, the press, public institutions, etc.). Findings - Offshore Outsourcing has grown vertiginously in recent years. Its advantages exceed even those of onshore outsourcing, though it also involves greater risks derived from the (cultural and physical) distance existing between customer and provider. Various types of services and customer-provider relationships hide under the umbrella of Offshore Outsourcing; i.e. it is not a homogeneous phenomenon. The main Offshore Outsourcing customers can be found in the USA and Europe, mainly in the UK but also in other countries such as Germany and France. As for provider firms, most of them are located in Asia −outstandingly in India but also in China and Russia. At present, there are important providers scattered in other continents as well. Originality/Value - The conclusions suggest that the range of potential Offshore Outsourcing destinations must be widened and that the search for a provider cannot be based exclusively on cost savings; other considerations such as quality, security and proximity of the provider must also be taken into consideration. That is precisely the reason why the study of new countries like Spain as Offshore Outsourcing destinations is proposed

Sharp-Interface Limit of a Fluctuating Phase-Field Model

We present a derivation of the sharp-interface limit of a generic fluctuating phase-field model for solidification. As a main result, we obtain a sharp-interface projection which presents noise terms in both the diffusion equation and in the moving boundary conditions. The presented procedure does not rely on the fluctuation-dissipation theorem, and can therefore be applied to account for both internal and external fluctuations in either variational or non-variational phase-field formulations. In particular, it can be used to introduce thermodynamical fluctuations in non-variational formulations of the phase-field model, which permit to reach better computational efficiency and provide more flexibility for describing some features of specific physical situations. This opens the possibility of performing quantitative phase-field simulations in crystal growth while accounting for the proper fluctuations of the system.Comment: 21 pages, 1 figure, submitted to Phys. Rev.

Structural Changes in Data Communication in Wireless Sensor Networks

Wireless sensor networks are an important technology for making distributed autonomous measures in hostile or inaccessible environments. Among the challenges they pose, the way data travel among them is a relevant issue since their structure is quite dynamic. The operational topology of such devices can often be described by complex networks. In this work, we assess the variation of measures commonly employed in the complex networks literature applied to wireless sensor networks. Four data communication strategies were considered: geometric, random, small-world, and scale-free models, along with the shortest path length measure. The sensitivity of this measure was analyzed with respect to the following perturbations: insertion and removal of nodes in the geometric strategy; and insertion, removal and rewiring of links in the other models. The assessment was performed using the normalized Kullback-Leibler divergence and Hellinger distance quantifiers, both deriving from the Information Theory framework. The results reveal that the shortest path length is sensitive to perturbations.Comment: 12 pages, 4 figures, Central European Journal of Physic