Статья содержит дополнения и улучшения к уже опубликованной статье автора "MODELING CLUSTERS OF EXTREME VALUES".

Using known entropic and information inequalities, we obtain new inequalities for some classical polynomials. We consider examples of Jacobi and Legendre polynomials.

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Fast interaction mechanisms are suggested for active objects in digital systems. The paper demonstrates their applicability to achieving the fast response of complex digital systems to any variations in the state of a system and an external environment, as well as to fast distributed computing. And finally, the author shows the design methods of technical devices necessary for realizing the proposed mechanisms.

This book demonstrates how to apply modern approaches to complex system control in practical applications involving knowledge-based systems. The dimensions of knowledge-based systems are extended by incorporating new perspectives from control theory, multimodal systems and simulation methods. The book is divided into three parts: theory, production system and information system applications. One of its main focuses is on an agent-based approach to complex system analysis. Moreover, specialised forms of knowledge-based systems (like e-learning, social network, and production systems) are introduced with a new formal approach to knowledge system modelling. The book, which offers a valuable resource for researchers engaged in complex system analysis, is the result of a unique cooperation between scientists from applied computer science (mainly from Poland) and leading system control theory researchers from the Russian Academy of Sciences’ Trapeznikov Institute of Control Sciences.