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Algorithm 11.2 (E-NLMS algorithm with power normalization) Consider the same setting of Alg. 11.1. The optimal weight vector wocan be approximated iteratively via the recursions

To that end, one can identify the Casimir functions of the reduced Poisson bracket, which are related to the Hamiltonians corresponding to infinitesimal actions of the group The symplectic leaves can be labeled by the elements of the dual of the Lie algebra, g* E G*(the explicit construction can be done in terms of momentum maps to be introduced below) We thus obtain a symplectic leaf P r e d ( g * ) for each g * E G*as the arena for symplectic reduction The most natural starting point for reduction is the canonical symplectic structure available on any cotangent bundle If a group acts on a manifold P, the action can be lifted to the cotangent bundle T * P such that it leaves the symplectic form on T * P invariant.

and de ation processing units. In this general analysis, it will be shown that the jth extraction processing unit can always successfully extract a source signal from a mixture of the remaining source signals and that the outputs of the jth de ation processing unit produce a new mixture which does not contain this newly extracted signal. Finally, based on these analytical results, in Appendix B, we describe implementation techniques for determining a proper value of , and we formulate criteria for terminating the extraction and de ation procedures.

Throughout the 1990s, the Australian A Institute (AAII) developed a range of 1 agent-based systems using their PRS-based belief-desire-intention technology (Wooldridge, 2000b) and the Distributed Multiagent Reasoning System (DMARS) (Rao and Georgeff, 1995) The M I methodology for agent-oriented analysis and design was developed as a result of experience gained with these major applications It draws primarily upon object-oriented methodologies, and enhances them with some agent-based concepts The methodology itself is aimed at the construction of a set of models which, when fully elaborated, define an agent system specification The M I 1 methodology provides both internal and external models The external model presents a system-level view: the main components visible in t h s model are agents themselves The external model is thus primarily concerned with agents and the relationships between them It is not concerned with the internals of agents: how they are constructed or what they do.

In canonical coordinates, the idea is to extend the action of some group element, [ j ! f j , by an extended point transformation to +.

124. 0.Zienkiewicz, R. L. Taylor: The Finite Elerwnt Mrthocl. Vol. 2 - SolidMrc.htrriic..\. 5th edition, Butterworth-Heinemann. Woburn, MA, 2002.

In contrast, the internal model is entirely concerned with the internals of agents: their beliefs, desires, and intentions The external model is intended to define inheritance relationshps between agent classes, and to identify the instances of these classes that will appear at run-time It is itself composed of two further models: the agent model and the interaction model The agent model is then further divided into an agent class model and an agent instance model These two models define the agents and agent classes that can appear, and relate these classes to one another via inheritance, aggregation, and instantiation relations Each agent class is assumed to have at least three attributes: beliefs, desires, and intentions The analyst is able to define how these attributes are overridden during inheritance For example, it is assumed that by default, inherited intentions have less priority than those in sub-classes.

Fletcher, W. (1978) Port: An Introduction to Its History and Delights. London: Philip Wilson. Fonseca, A.M., Galhano, A., Pimental, E.S. & Rosas, J.R.-P. (1984) Port Wine. Notes on Its History, Production and Technology. Oporto: Instituto do Vinho do Porto. Gonzalez, G.M. (1972) Sherry, the Noble Wine. London: Cassell. Jeffs, J. (1992) Sherry. London: Faber and Faber. Reader, H.P. & Dominguez, M. (2003) Forti ed wines: sherry, port and madeira. Fermented Beverage Production, 2nd edn. (eds A.G.H. Lea & J.R. Piggott), pp. 157 193. New York: Kluwer/Plenum. Robertson, G. (1992) Port. London: Faber and Faber. Suckling, J. (1990) Vintage Port. San Francisco: Wine Spectator Press.