In this work, we extend the analytic treatment of Bessel functions of large order and/or argument. We examine uniform asymptotic Bessel function expansions and show their accuracy and range of validity. Such situations arise in a variety of applications, in particular the Fourier transform of the gravitational wave signal from a pulsar. The uniform expansion we consider here is found to be vali...

This paper contains an analysis of features of gesture types that are produced before or simultaneously with speech (mainly. nouns and verbs) and in relation to own communication management (choice and change). The types of gestures discussed are arm-hand gestures, head movements and gaze. The analysis is then discussed in relation to two selected social activities, where virtual agents (ECAs) ...

In this paper, electromagnetic scattering problems are analyzed using an electric field integral equation (EFIE) formulation that is based on loop-star basis functions so as to avoid low-frequency instability problems. Moreover, to improve the convergence rate of iterative methods, a block matrix preconditioner (BMP) is applied to the EFIE formulation based on loop star-basis functions. Because...

presented here is a generalization of the implicit enumeration algorithm that can be applied when the objec-tive function is being maximized and can be rewritten as the difference of two non-decreasing functions. also developed is a computational algorithm, named linear speedup, to use whatever explicit linear constraints are present to speedup the search for a solution. the method is easy to u...

This paper introduces a constrained recon gurable mesh model which incorporates practical assump tions about propagation delays on large sized buses Simulations of optimal recon gurable mesh algo rithms on the constrained recon gurable mesh model are found to be non optimal Optimal solutions for the sorting and convex hull problems are then presented For the problems investigated the con strain...

5 This paper studies stability of error bounds for convex constraint systems 6 in Banach spaces. We show that certain known sufficient conditions for local 7 and global error bounds actually ensure error bounds for the family of func8 tions being in a sense small perturbations of the given one. A single inequality 9 as well as semi-infinite constraint systems are considered. 10 Mathematics Subj...

Minimax location problems have rece ived considerable attention in the literature as models for locating fac ilities tha t are to provide emerge ncy or convenient service to a set of ex isting facilities. In most of these problems the re is given a set of ex isting facilities whose locations are represented as points in some space, and new fac ility locations are also to be spec ified as points...

We d e r i v e t h e L i p s c h i t z dependence of t h e s e t of s o l u t i o n s of a convex minimizat ion problem and i t s Lagrange m u l t i p l i e r s upon t h e n a t u r a l parameters from an Inve r se Funct ion Theorem f o r se t -valued maps. Th i s r e q u i r e s t h e use of con t ingen t and Clarke d e r i v a t i v e s of se t -valued maps, a s w e l l a s gene ra l i zed se...

We discuss a new version of the Hahn-Banach theorem, with applications to linear and nonlinear functional analysis, convex analysis, and the theory of monotone multifunc-tions. We show how our result can be used to prove a " localized " version of the Fenchel-Moreau formula — even when the classical Fenchel-Moreau formula is valid, the proof of it given here avoids the problem of the " vertical...