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Constraint Theory

Author: George J. Friedman
Publisher: Springer
ISBN: 3319547925
Size: 60.80 MB
Format: PDF
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Packed with new material and research, this second edition of George Friedman’s bestselling Constraint Theory remains an invaluable reference for all engineers, mathematicians, and managers concerned with modeling. As in the first edition, this text analyzes the way Constraint Theory employs bipartite graphs and presents the process of locating the “kernel of constraint” trillions of times faster than brute-force approaches, determining model consistency and computational allowability. Unique in its abundance of topological pictures of the material, this book balances left- and right-brain perceptions to provide a thorough explanation of multidimensional mathematical models. Much of the extended material in this new edition also comes from Phan Phan’s PhD dissertation in 2011, titled “Expanding Constraint Theory to Determine Well-Posedness of Large Mathematical Models.” Praise for the first edition: "Dr. George Friedman is indisputably the father of the very powerful methods of constraint theory." --Cornelius T. Leondes, UCLA "Groundbreaking work. ... Friedman's accomplishment represents engineering at its finest. ... The credibility of the theory rests upon the formal proofs which are interspersed among the illuminating hypothetical dialog sequences between manager and analyst, which bring out distinctions that the organization must face, en route to accepting Friedman's work as essential to achieve quality control in developing and applying large models." --John N. Warfield

Generalized Measure Theory

Author: Zhenyuan Wang
Publisher: Springer Science & Business Media
ISBN: 0387768521
Size: 33.10 MB
Format: PDF, Kindle
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Generalized Measure Theory examines the relatively new mathematical area of generalized measure theory. The exposition unfolds systematically, beginning with preliminaries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and the associated integration theory. The latter involves several types of integrals: Sugeno integrals, Choquet integrals, pan-integrals, and lower and upper integrals. All of the topics are motivated by numerous examples, culminating in a final chapter on applications of generalized measure theory. Some key features of the book include: many exercises at the end of each chapter along with relevant historical and bibliographical notes, an extensive bibliography, and name and subject indices. The work is suitable for a classroom setting at the graduate level in courses or seminars in applied mathematics, computer science, engineering, and some areas of science. A sound background in mathematical analysis is required. Since the book contains many original results by the authors, it will also appeal to researchers working in the emerging area of generalized measure theory.

A Missing Link In Cybernetics

Author: Alex M. Andrew
Publisher: Springer Science & Business Media
ISBN: 9780387751641
Size: 27.72 MB
Format: PDF
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In this book I argue that a reason for the limited success of various studies under the general heading of cybernetics is failure to appreciate the importance of con- nuity, in a simple metrical sense of the term. It is with particular, but certainly not exclusive, reference to the Arti cial Intelligence (AI) effort that the shortcomings of established approaches are most easily seen. One reason for the relative failure of attempts to analyse and model intelligence is the customary assumption that the processing of continuous variables and the manipulation of discrete concepts should be considered separately, frequently with the assumption that continuous processing plays no part in thought. There is much evidence to the contrary incl- ing the observation that the remarkable ability of people and animals to learn from experience nds similar expression in tasks of both discrete and continuous nature and in tasks that require intimate mixing of the two. Such tasks include everyday voluntary movement while preserving balance and posture, with competitive games and athletics offering extreme examples. Continuous measures enter into many tasks that are usually presented as discrete. In tasks of pattern recognition, for example, there is often a continuous measure of the similarity of an imposed pattern to each of a set of paradigms, of which the most similar is selected. The importance of continuity is also indicated by the fact that adjectives and adverbs in everyday verbal communication have comparative and superlative forms.

Extremal Fuzzy Dynamic Systems

Author: Gia Sirbiladze
Publisher: Springer Science & Business Media
ISBN: 1461442494
Size: 69.49 MB
Format: PDF, ePub
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Presenting a fresh approach to the fuzzy modeling of dynamic processes in systems science research, this book’s coverage of both theory and key applications incorporates time as a source of fuzziness and treats applied EFD systems such as software libraries.

Facets Of Systems Science

Author: George J. Klir
Publisher: Springer Science & Business Media
ISBN: 9780306466236
Size: 71.13 MB
Format: PDF
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This is the substantially updated second edition of the first comprehensive overview of systems science for advanced undergraduate and graduate students. This new edition adds supplemental examples and exercises, and a selection of recent papers in systems science. From a review in Kybernetika : "One is struck in reading Facets at just how monumental of an undertaking this... As Klir presents it, systems science represents a new dimension of science. ...I would like to suggest that a close study of Facets is likely to benefit anyone interested in gaining new insights into scientific inquiry itself as well as new methods for investigating problems of individual interest. Thanks Professor Klir!" -Richard M. Smith

Foundations And Applications Of Mis

Author: Yasuhiko Takahara
Publisher: Springer Science & Business Media
ISBN: 0387358404
Size: 56.46 MB
Format: PDF, ePub, Docs
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This book presents a unique systems theory approach to management information system (MIS) development. It covers an outline of the approach, providing a theoretical foundation for MIS from the systems theoretic viewpoint before presenting practical applications ranging from a transaction processing system to a solver system. The author also describes his newly developed extended Prolog programming language, which helps take full advantage of the mathematical framework employed.