Stable Modules and the D(2)-Problem

Stable Modules and the D(2)-Problem

Author: F. E. A. Johnson

Publisher: Cambridge University Press

Published: 2003-09-11

Total Pages: 282

ISBN-13: 9780521537490

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This 2003 book deals with two fundamental problems in low-dimensional topology with an eye on wider context.


Essays in Constructive Mathematics

Essays in Constructive Mathematics

Author: Harold M. Edwards

Publisher: Springer Nature

Published: 2022-09-29

Total Pages: 325

ISBN-13: 303098558X

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Contents and treatment are fresh and very different from the standard treatments Presents a fully constructive version of what it means to do algebra The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader


Stability in Modules for Classical Lie Algebras: A Constructive Approach

Stability in Modules for Classical Lie Algebras: A Constructive Approach

Author: Georgia Benkart

Publisher: American Mathematical Soc.

Published: 1990

Total Pages: 177

ISBN-13: 0821824929

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In this work we consider the problem of determining information about representations as the rank grows large, in fact, tends to infinity. Here we show that the set of dominant weights stabilizes as the rank goes to infinity and the multiplicities become polynomials in the rank. In addition, we give effective, easily computable algorithms for determining the set of dominant weights and illustrate how to calculate their multiplicity polynomials.


Nilpotence and Periodicity in Stable Homotopy Theory

Nilpotence and Periodicity in Stable Homotopy Theory

Author: Douglas C. Ravenel

Publisher: Princeton University Press

Published: 1992-11-08

Total Pages: 228

ISBN-13: 9780691025728

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Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an up-to-date text on that topic. Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CW-complex, and suspension. Next the machinery of complex cobordism, Morava K-theory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group.


Software Patterns, Knowledge Maps, and Domain Analysis

Software Patterns, Knowledge Maps, and Domain Analysis

Author: Mohamed E. Fayad

Publisher: CRC Press

Published: 2014-12-04

Total Pages: 452

ISBN-13: 1466571438

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Software design patterns are known to play a vital role in enhancing the quality of software systems while reducing development time and cost. However, the use of these design patterns has also been known to introduce problems that can significantly reduce the stability, robustness, and reusability of software. This book introduces a new process for creating software design patterns that leads to highly stable, reusable, and cost-effective software. The basis of this new process is a topology of software patterns called knowledge maps. This book provides readers with a detailed view of the art and practice of creating meaningful knowledge maps. It demonstrates how to classify software patterns within knowledge maps according to their application rationale and nature. It provides readers with a clear methodology in the form of step-by-step guidelines, heuristics, and quality factors that simplify the process of creating knowledge maps. This book is designed to allow readers to master the basics of knowledge maps from their theoretical aspects to practical application. It begins with an overview of knowledge map concepts and moves on to knowledge map goals, capabilities, stable design patterns, development scenarios, and case studies. Each chapter of the book concludes with an open research issue, review questions, exercises, and a series of projects.


Logic Programming

Logic Programming

Author: Maria Garcia Banda

Publisher: Springer

Published: 2008-12-15

Total Pages: 842

ISBN-13: 3540899820

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This book constitutes the refereed proceedings of the 24th International Conference on Logic Programming, ICLP 2008, held in Udine, Italy, in December 2008. The 35 revised full papers together with 2 invited talks, 2 invited tutorials, 11 papers of the co-located first Workshop on Answer Set Programming and Other Computing Paradigms (ASPOCP 2008), as well as 26 poster presentations and the abstracts of 11 doctoral consortium articles were carefully reviewed and selected from 177 initial submissions. The papers cover all issues of current research in logic programming - they are organized in topical sections on applications, algorithms, systems, and implementations, semantics and foundations, analysis and transformations, CHRs and extensions, implementations and systems, answer set programming and extensions, as well as constraints and optimizations.


Applications Of Neural Adaptive Control Technology

Applications Of Neural Adaptive Control Technology

Author: Andrzej Dzielinski

Publisher: World Scientific

Published: 1997-09-02

Total Pages: 318

ISBN-13: 9814497339

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This book presents the results of the second workshop on Neural Adaptive Control Technology, NACT II, held on September 9-10, 1996, in Berlin. The workshop was organised in connection with a three-year European-Union-funded Basic Research Project in the ESPRIT framework, called NACT, a collaboration between Daimler-Benz (Germany) and the University of Glasgow (Scotland).The NACT project, which began on 1 April 1994, is a study of the fundamental properties of neural-network-based adaptive control systems. Where possible, links with traditional adaptive control systems are exploited. A major aim is to develop a systematic engineering procedure for designing neural controllers for nonlinear dynamic systems. The techniques developed are being evaluated on concrete industrial problems from within the Daimler-Benz group of companies.The aim of the workshop was to bring together selected invited specialists in the fields of adaptive control, nonlinear systems and neural networks. The first workshop (NACT I) took place in Glasgow in May 1995 and was mainly devoted to theoretical issues of neural adaptive control. Besides monitoring further development of theory, the NACT II workshop was focused on industrial applications and software tools. This context dictated the focus of the book and guided the editors in the choice of the papers and their subsequent reshaping into substantive book chapters. Thus, with the project having progressed into its applications stage, emphasis is put on the transfer of theory of neural adaptive engineering into industrial practice. The contributors are therefore both renowned academics and practitioners from major industrial users of neurocontrol.


Integral Closure of Ideals, Rings, and Modules

Integral Closure of Ideals, Rings, and Modules

Author: Craig Huneke

Publisher: Cambridge University Press

Published: 2006-10-12

Total Pages: 446

ISBN-13: 0521688604

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Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.