A finite-element-based vectorial optical mode solver is used to analyze microstructured optical waveguides. By employing 1st-order Bayliss-Gunzburger-Turkel-like transparent boundary conditions, both the real and imaginary part of the modal indices can be calculated in a relatively small computational domain. Results for waveguides with either circular or non-circular microstructured holes, sol...

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The Unified Medical Language System (UMLS) is a large repository of some 800,000 concepts for the biomedical domain, organized by several millions of inter-concept relationships, either inherited from the source vocabularies, or specifically generated. This paper focuses on hierarchical relationships in the UMLS Metathesaurus, and especially, on circular hierarchical relationships. Using the me...

let $d$ be an integral domain and $star$ a semistar operation stable and of finite type on it. we define the semistar dimension (inequality) formula and discover their relations with $star$-universally catenarian domains and $star$-stably strong s-domains. as an application, we give new characterizations of $star$-quasi-pr"{u}fer domains and um$t$ domains in terms of dimension ine...

The suitable use of an antenna array at the base station of a communication system results in improved Signal to Interference Ratio (SIR). In this paper, Linear Array (LA), Circular Array (CA) and Concentric Circular Antenna Array (CCAA) are used at the base station of a direct sequence code division multiple access (CDMA) systems. To suppress multiple access interference (MAI), the proposed sc...

An augmented complex least mean square (ACLMS) algorithm for complex domain adaptive filtering which utilises the full second order statistical information is derived for adaptive prediction problems. This is achieved based on some recent advances in complex statistics and by using widely linear modelling in C. This way, both circular and non–circular complex signals can be processed optimally,...

In this paper we discuss a natural way to deene barycen-tric coordinates associated with circular arcs. This leads to a theory of Bernstein-B ezier polynomials which parallels the familiar interval case, and which has close connections to trigonometric polynomials. x1. Introduction Bernstein-B ezier (BB-) polynomials deened on an interval are useful tools for constructing piecewise functional a...

A new Fornberg-like method is presented for computing conformal maps from the interior of the unit disk with m−1 circular holes to the interior of a smooth closed curve with m−1 holes bounded by smooth curves. The method is a Newton-like method for computing the boundary correspondences and the conformal moduli (centers and radii of the circles). The inner linear systems are derived from condit...