in this paper we develop a natural generalization of schauder basis theory, we term operator-valued basis or simply ov-basis theory, using operator-algebraic methods. we prove several results for ov-basis concerning duality, orthogonality, biorthogonality and minimality. we prove that the operators of a dual ov-basis are continuous. we also dene the concepts of bessel, hilbert ov-basis and obt...

Since it is well-known that the Vandermonde matrix is ill-conditioned, while the interpolation itself is not unstable in function space, this paper surveys the choices of other new bases. These bases are data-dependent and are categorized into discretely l2-orthonormal and continuously L2-orthonormal bases. The first one construct a unitary Gramian matrix in the space l2(X) while the late...

Ubiquitous web applications adhering to the anytime/anywhere/anymedia paradigm are required to be customisable meaning the adaptation of their services towards a certain context. When developing ubiquitous web applications one must understand what context is to determine its relevance and how it can be exploited for adapting the provided services accordingly. This paper proposes a design space ...

A review of related literature provides us with an insight into the various complexities, prospective and creative concepts in a field in which the study may be undertaken. It implies locating, studying and evaluating reports of relevant researches, study of published articles, related portions of encyclopedia, research abstracts and pages out of comprehensive books on the subject. Review of re...

The task definition for mobile manipulators is presented. Then, a generic formulation of global instantaneous kinematics is proposed for wheeled mobile manipulators. It is compared with the classical kinematic modelling of robotic arms. In particular, it is shown that many tools of classical manipulation can be re-used in this new framework. Finally, simulation results and experiments are prese...

Influenced by generative and intentional learning methodologies, the Web Resource Collaboration Center (WRCC) was developed to provide a structure and forum for lifelong learning activities by empowering learners to build their own Web-based knowledge bases and support systems. The WRCC – written entirely in Perl – enables learners to collaboratively build comprehensive knowledge base systems t...

Sequence weighting methods have been used to reduce redundancy and emphasize diversity in multiple sequence alignment and searching applications. Each of these methods is based on a notion of distance between a sequence and an ancestral or generalized sequence. We describe a different approach, which bases weights on the diversity observed at each position in the alignment, rather than on a seq...