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In Fednet, there are two approaches for providing the services. One is overlay and the other is proxy-based. Each of the approaches has the advantages and drawbacks. To trade off between these two approaches, we propose a new scheme, which can make the way of service provisioning in Fednet flexible and adaptable to the changing environment and the user's preference. Some modules are designed in the Fednet agent (FA), Fednet manager (FM) and the service proxy to support our new mechanism. To fully illustrate the concept of Fednet and the service provisioning in Fednet, we implement a Fednet...

The author explores ramifications and extensions of a $q$-difference operator method first used by L.J. Rogers for deriving relationships between special functions involving certain fundamental $q$-symmetric polynomials. In special cases these symmetric polynomials reduce to well-known classes of orthogonal polynomials. A number of basic properties of these polynomials follow from this approach. This leads naturally to the evaluation of the Askey-Wilson integral and generalizations. Expansions of certain generalized basic hypergeometric functions in terms of the symmetric polynomials are also...

The authors' purpose in writing this title is to put material which they found stimulating and interesting as graduate students into form. It is intended for individual study and for use as a text for graduate level courses such as the one from which this material stems, given by Professor W. Ambrose at MIT in 1958-1959. Previously the material had been organized in roughly the same form by him and Professor I.M. Singer, and they in turn drew upon the work of Ehresmann, Chern, and E. Cartan. The authors' contributions have been primarily to fill out the material with details, asides and...