Iteration Theories
Iteration Theories

Author: Stephen L. Bloom

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 636

ISBN-13: 3642780342

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This monograph contains the results of our joint research over the last ten years on the logic of the fixed point operation. The intended au dience consists of graduate students and research scientists interested in mathematical treatments of semantics. We assume the reader has a good mathematical background, although we provide some prelimi nary facts in Chapter 1. Written both for graduate students and research scientists in theoret ical computer science and mathematics, the book provides a detailed investigation of the properties of the fixed point or iteration operation. Iteration plays a fundamental role in the theory of computation: for example, in the theory of automata, in formal language theory, in the study of formal power series, in the semantics of flowchart algorithms and programming languages, and in circular data type definitions. It is shown that in all structures that have been used as semantical models, the equational properties of the fixed point operation are cap tured by the axioms describing iteration theories. These structures include ordered algebras, partial functions, relations, finitary and in finitary regular languages, trees, synchronization trees, 2-categories, and others.

Iteration Theory - Proceedings Of The European Conference
Iteration Theory - Proceedings Of The European Conference

Author: W Forg-rob

Publisher: World Scientific

Published: 1996-07-03

Total Pages: 298

ISBN-13: 9814547891

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Iteration theory has its roots in the operation of substituting functions into itself. This has led to questions like that of the behaviour of functions by repeating this substitution and when the number of iterations tends to infinity. The terms 'orbit' and 'chaos' appropriately describe this behaviour. Dynamical systems and the theory of functional equations play important roles in this field.

The Theory and Applications of Iteration Methods
The Theory and Applications of Iteration Methods

Author: Ioannis K. Argyros

Publisher: CRC Press

Published: 2022-01-20

Total Pages: 471

ISBN-13: 1000536750

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The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.

Modern Practice in Stress and Vibration Analysis
Modern Practice in Stress and Vibration Analysis

Author: J. E. Mottershead

Publisher: Elsevier

Published: 2016-06-23

Total Pages: 355

ISBN-13: 1483136426

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Modern Practice in Stress and Vibration Analysis documents the proceedings of the conference on Modern Practice in Stress and Vibration Analysis organized by the Stress Analysis Group of the Institute of Physics at the University of Liverpool, 3-5 April 1989. The Group has been known in the UK for its contribution in providing meetings with an emphasis on application, covering topics which range widely to include modern numerical techniques and advanced experimentation. The volume contains 34 papers presented by researchers at the conference covering a wide range of topics such as the application of the sensitivity analysis method to structural dynamics; passive and active vibration control for use in vibration suppression in spacecraft; analysis of an ultrasonically excited thick cylinder; and the prediction of vibrational power transmission through a system of jointed beams carrying longitudinal and flexural waves. It is hoped that the contributions published in this book will be of value to the broad community of practitioners in stress and vibration analysis whom the Stress Analysis Group exists to serve.

Modern Methods in Complex Analysis (AM-137), Volume 137
Modern Methods in Complex Analysis (AM-137), Volume 137

Author: Thomas Bloom

Publisher: Princeton University Press

Published: 2016-03-02

Total Pages: 361

ISBN-13: 1400882575

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The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field. The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.

Bio-inspired Computing – Theories and Applications
Bio-inspired Computing – Theories and Applications

Author: Maoguo Gong

Publisher: Springer

Published: 2017-01-07

Total Pages: 541

ISBN-13: 981103611X

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The two-volume set, CCIS 681 and CCIS 682, constitutes the proceedings of the 11th International Conference on Bio-Inspired Computing: Theories and Applications, BIC-TA 2016, held in Xi'an, China, in October 2016.The 115 revised full papers presented were carefully reviewed and selected from 343 submissions. The papers of Part I are organized in topical sections on DNA Computing; Membrane Computing; Neural Computing; Machine Learning. The papers of Part II are organized in topical sections on Evolutionary Computing; Multi-objective Optimization; Pattern Recognition; Others.