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General Systems Theory Mathematical Foundations

Author:
Publisher: Academic Press
ISBN: 9780080956220
Size: 76.41 MB
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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

General System Theory Of Aging Special Role Of The Immune System

Author: V. Dontsov
Publisher: Litres
ISBN: 5041829640
Size: 72.85 MB
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The monograph examines the general methodological problems of the aging, main mechanisms, as well as consideration of the fundamental possibilities and directions of influence on this process. A special place is occupied by the use of system analysis, consideration of integrative systems, and the special role of the immune system, namely, that part of it, which is not responsible for immune phenomena proper, but regulates the interaction of proliferation of various cell populations in the body.

Mutual Causality In Buddhism And General Systems Theory

Author: Joanna Macy
Publisher: SUNY Press
ISBN: 1438411634
Size: 60.80 MB
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This book brings important new dimensions to the interface between contemporary Western science and ancient Eastern wisdom. Here for the first time the concepts and insights of general systems theory are presented in tandem with those of the Buddha. Remarkable convergences appear between core Buddhist teachings and the systems view of reality, arising in our century from biology and extending into the social and cognitive sciences. Giving a cogent introduction to both bodies of thought, and a fresh interpretation of the Buddha’s core teaching of dependent co-arising, this book shows how their common perspective on causality can inform our lives. The interdependence of all beings provides the context for clarifying both the role of meditative practice and guidelines for effective action on behalf of the common good.

General Systems Theory

Author: Yi Lin
Publisher: Springer Science & Business Media
ISBN: 0306459442
Size: 36.54 MB
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As suggested by the title of this book, I will present a collection of coherently related applications and a theoretical development of a general systems theory. Hopefully, this book will invite all readers to sample an exciting and challenging (even fun!) piece of interdisciplinary research, that has characterized the scientific and technological achievements of the twentieth century. And, I hope that many of them will be motivated to do additional reading and to contribute to topics along the lines described in the following pages. Since the applications in this volume range through many scientific disciplines, from sociology to atomic physics, from Einstein’s relativity theory to Dirac’s quan tum mechanics, from optimization theory to unreasonable effectiveness of mathe matics to foundations of mathematical modeling, from general systems theory to Schwartz’s distributions, special care has been given to write each application in a language appropriate to that field. That is, mathematical symbols and abstractions are used at different levels so that readers in various fields will find it possible to read. Also, because of the wide range of applications, each chapter has been written so that, in general, there is no need to reference a different chapter in order to understand a specific application. At the same time, if a reader has the desire to go through the entire book without skipping any chapter, it is strongly suggested to refer back to Chapters 2 and 3 as often as possible.

Black Holes Theory And Observation

Author: Friedrich W. Hehl
Publisher: Springer Science & Business Media
ISBN: 9783540651581
Size: 36.22 MB
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This book addresses graduate students in the first place and is meant as a modern compendium to the existing texts on black hole astrophysics. The authors present in pedagogically written articles our present knowledge on black holes covering mathematical models including numerical aspects and physics and astronomical observations as well. In addition, in their write-up of a panel discussion the participants of the school address the existence of black holes consenting that it has by now been verified with certainty.

Black Hole Physics

Author: V. Frolov
Publisher: Springer Science & Business Media
ISBN: 9780792351450
Size: 27.16 MB
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This volume on black holes can be seen as a sequel to Physics of Black Holes, published by Kluwer Academic Publishers in 1989. The authors are recognised experts in their field, and have many years' experience in teaching courses on general relativity and black holes. The present work covers practically all aspects of black hole physics and its astrophysical applications. Among the topics treated in depth are: spacetime of stationary black holes, general theory of black holes, black hole perturbations, black hole numerics, black hole electrodynamics, black holes in unified theories of gravity, quantum black holes, final states of evaporating black holes and the information loss puzzle. Special attention is paid to the role of black holes in astrophysics and observational evidence of black hole existence. Many exotic subjects linked with black holes, such as white holes, wormholes, and time machines are discussed in detail. Numerous appendices cover mathematical aspects of general relativity and black holes and quantum field theory in curved space time. This makes the book practically self-contained. Extensive references provide the reader with a guide to the literature in this field. Audience: This book will be of interest to researchers and postgraduate students whose work involves relativity and gravitation, statistical physics, thermodynamics, active galactic nuclei and stellar physics.