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Iteration Theories
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Book Synopsis Iteration Theories by : Stephen L. Bloom
Download or read book Iteration Theories written by Stephen L. Bloom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Theory and Applications of Iteration Methods by : Ioannis K. Argyros
Download or read book The Theory and Applications of Iteration Methods written by Ioannis K. Argyros and published by CRC Press. This book was released on 2022-01-21 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Iteration Theory - Proceedings Of The European Conference by : W Forg-rob
Download or read book Iteration Theory - Proceedings Of The European Conference written by W Forg-rob and published by World Scientific. This book was released on 1996-07-03 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Aspects of Natural and Formal Languages by : Gheorghe Paun
Download or read book Mathematical Aspects of Natural and Formal Languages written by Gheorghe Paun and published by World Scientific. This book was released on 1994-10-25 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains original reviews by well-known workers in the field of mathematical linguistics and formal language theory, written in honour of Professor Solomon Marcus on the occasion of his 70th birthday. Some of the papers deal with contextual grammars, a class of generative devices introduced by Marcus, motivated by descriptive linguistics. Others are devoted to grammar systems, a very modern branch of formal language theory. Automata theory and the algebraic approach to computer science are other well-represented areas. While the contributions are mathematically oriented, practical issues such as cryptography, grammatical inference and natural language processing are also discussed. Contents:Substitutions on Words and LanguagesApplications to Cryptography (A Atanasiu)Grammar Systems: A Multi-Agent Framework for Natural Language Generation (E Csuhaj-Varjú)Normal Forms for Contextual Grammars (A Ehrenfeucht et al.)Control Mechanisms on #-Context-Free Array Grammars (R Freund)On Transitive Cofinal Automata (M Ito & M Katsura)Algebraic Foundations for Montague Grammars (H Jürgensen & K Tent)A Periodic Languages and Generalizations (J Kari & G Thierrin)Matrix Grammars Versus Parallel Communicating Grammar Systems (V Mihalache)Reducts Versus Reducing Operators (M Novotný)On Conditional Grammars and Conditional Petri Nets (F-L Tiplea)and other papers Readership: Computer scientists. keywords:Algebra;Array Grammar;Automaton;Chomsky Grammar;Combinatorics on Words;Cryptography;Grammar System;Marcus Grammar;Mereology;Montague Grammar;Natural Language;Petri Net
Book Synopsis Iteration Theory and its Functional Equations by : Roman Liedl
Download or read book Iteration Theory and its Functional Equations written by Roman Liedl and published by Springer. This book was released on 2006-11-14 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Iteration Theory by : György I. Targonski
Download or read book Topics in Iteration Theory written by György I. Targonski and published by . This book was released on 1981 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fuzzy Semirings with Applications to Automata Theory by : Javed Ahsan
Download or read book Fuzzy Semirings with Applications to Automata Theory written by Javed Ahsan and published by Springer Science & Business Media. This book was released on 2012-03-14 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present an up to date account of fuzzy ideals of a semiring. The book concentrates on theoretical aspects and consists of eleven chapters including three invited chapters. Among the invited chapters, two are devoted to applications of Semirings to automata theory, and one deals with some generalizations of Semirings. This volume may serve as a useful hand book for graduate students and researchers in the areas of Mathematics and Theoretical Computer Science.
Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.
Book Synopsis The Theory and Applications of Iteration Methods by : Ioannis K. Argyros
Download or read book The Theory and Applications of Iteration Methods written by Ioannis K. Argyros and published by CRC Press. This book was released on 2018-05-04 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory and Applications of Iteration Methods focuses on an abstract iteration scheme that consists of the recursive application of a point-to-set mapping. Each chapter presents new theoretical results and important applications in engineering, dynamic economic systems, and input-output systems. At the end of each chapter, case studies and numerical examples are presented from different fields of engineering and economics. Following an outline of general iteration schemes, the authors extend the discrete time-scale Liapunov theory to time-dependent, higher order, nonlinear difference equations. The monotone convergence to the solution is examined in and comparison theorems are proven . Results generalize well-known classical theorems, such as the contraction mapping principle, the lemma of Kantorovich, the famous Gronwall lemma, and the stability theorem of Uzawa. The book explores conditions for the convergence of special single- and two-step methods such as Newton's method, modified Newton's method, and Newton-like methods generated by point-to-point mappings in a Banach space setting. Conditions are examined for monotone convergence of Newton's methods and their variants. Students and professionals in engineering, the physical sciences, mathematics, and economics will benefit from the book's detailed examples, step-by-step explanations, and effective organization.
Book Synopsis Annales Societatis Mathematicae Polonae by : Polskie Towarzystwo Matematyczne
Download or read book Annales Societatis Mathematicae Polonae written by Polskie Towarzystwo Matematyczne and published by . This book was released on 1990 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Principles of Semantic Networks by : John F. Sowa
Download or read book Principles of Semantic Networks written by John F. Sowa and published by Morgan Kaufmann. This book was released on 2014-07-10 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Semantic Networks: Explorations in the Representation of Knowledge provides information pertinent to the theory and applications of semantic networks. This book deals with issues in knowledge representation, which discusses theoretical topics independent of particular implementations. Organized into three parts encompassing 19 chapters, this book begins with an overview of semantic network structure for representing knowledge as a pattern of interconnected nodes and arcs. This text then analyzes the concepts of subsumption and taxonomy and synthesizes a framework that integrates many previous approaches and goes beyond them to provide an account of abstract and partially defines concepts. Other chapters consider formal analyses, which treat the methods of reasoning with semantic networks and their computational complexity. This book discusses as well encoding linguistic knowledge. The final chapter deals with a formal approach to knowledge representation that builds on ideas originating outside the artificial intelligence literature in research on foundations for programming languages. This book is a valuable resource for mathematicians.
Book Synopsis FST TCS 2003: Foundations of Software Technology and Theoretical Computer Science by : Paritosh K Pandya
Download or read book FST TCS 2003: Foundations of Software Technology and Theoretical Computer Science written by Paritosh K Pandya and published by Springer. This book was released on 2003-11-24 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 23rd Conference on Foundations of Software Technology and Theoretical Computer Science, FST TCS 2003, held in Mumbai, India in December 2003. The 23 revised full papers presented together with 4 invited papers and the abstract of an invited paper were carefully reviewed and selected from 160 submissions. A broad variety of current topics from the theory of computing are addressed, ranging from algorithmics and discrete mathematics to logics and programming theory.
Book Synopsis Unifying the Philosophy of Truth by : Theodora Achourioti
Download or read book Unifying the Philosophy of Truth written by Theodora Achourioti and published by Springer. This book was released on 2015-06-16 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology of the very latest research on truth features the work of recognized luminaries in the field, put together following a rigorous refereeing process. Along with an introduction outlining the central issues in the field, it provides a unique and unrivaled view of contemporary work on the nature of truth, with papers selected from key conferences in 2011 such as Truth Be Told (Amsterdam), Truth at Work (Paris), Paradoxes of Truth and Denotation (Barcelona) and Axiomatic Theories of Truth (Oxford). Studying the nature of the concept of ‘truth’ has always been a core role of philosophy, but recent years have been a boom time in the topic. With a wealth of recent conferences examining the subject from various angles, this collection of essays recognizes the pressing need for a volume that brings scholars up to date on the arguments. Offering academics and graduate students alike a much-needed repository of today’s cutting-edge work in this vital topic of philosophy, the volume is required reading for anyone needing to keep abreast of developments, and is certain to act as a catalyst for further innovation and research.
Book Synopsis Theory of Cryptography by : Ran Canetti
Download or read book Theory of Cryptography written by Ran Canetti and published by Springer. This book was released on 2008-02-26 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Fifth Theory of Cryptography Conference, TCC 2008. It covers the paradigms, approaches and techniques used to conceptualize, define and provide solutions to natural cryptographic problems.
Book Synopsis Genetic Programming Theory and Practice VI by : Rick Riolo
Download or read book Genetic Programming Theory and Practice VI written by Rick Riolo and published by Springer Science & Business Media. This book was released on 2008-11-01 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Genetic Programming Theory and Practice VI was developed from the sixth workshop at the University of Michigan’s Center for the Study of Complex Systems to facilitate the exchange of ideas and information related to the rapidly advancing field of Genetic Programming (GP). Contributions from the foremost international researchers and practitioners in the GP arena examine the similarities and differences between theoretical and empirical results on real-world problems. The text explores the synergy between theory and practice, producing a comprehensive view of the state of the art in GP application. These contributions address several significant interdependent themes which emerged from this year’s workshop, including: (1) Making efficient and effective use of test data. (2) Sustaining the long-term evolvability of our GP systems. (3) Exploiting discovered subsolutions for reuse. (4) Increasing the role of a Domain Expert.
Book Synopsis Algorithmic Number Theory by : Guillaume Hanrot
Download or read book Algorithmic Number Theory written by Guillaume Hanrot and published by Springer Science & Business Media. This book was released on 2010-07-07 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Algorithmic Number Theory Symposium, ANTS 2010, held in Nancy, France, in July 2010. The 25 revised full papers presented together with 5 invited papers were carefully reviewed and selected for inclusion in the book. The papers are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.
Book Synopsis Iterative Design of Teaching-Learning Sequences by : Dimitris Psillos
Download or read book Iterative Design of Teaching-Learning Sequences written by Dimitris Psillos and published by Springer. This book was released on 2015-11-24 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a very important aspect of science education and science education research respectively: The research-based development of Teaching Learning Sequences. The authors elaborate on important theoretical issues as well as aspects of the design and iterative evolution of a several Teaching Learning Sequences in a modern scientific and technological field which is socially relevant and educationally significant. The book is divided into two parts. The first part includes a collection of papers discussing the theoretical foundations and characteristics of selected theoretical frameworks related to designing Teaching Learning Sequences, elaborate on common issues and draw on the wider perspective of design research in education. The second part contains a collection of papers presenting case studies concerning the design, implementation, iterative evolution and evaluation of Teaching and Learning Sequences in a variety of educational context. The case studies deal with a more or less new subject matter, a part of modern interdisciplinary science, material science, which enhances the connections between science and technology. From a wider perspective the case studies draw on existing theoretical ideas on inquiry in various contexts and provide powerful suggestions for contextualized innovation in a variety of school systems and existing practices.
