Download or read book Symbolic Computation with Infinite Sequences of P groups with Fixed Coclass written by Dörte Feichtenschlager and published by Logos Verlag Berlin GmbH. This book was released on 2010 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classification of finite emph {p-groups is a much investigated problem, though in general it seems impossible. Leedham-Green & Newman defined a new invariant for finite emph {p-groups, the coclass. They suggested to try to classify finite emph {p-groups by coclass. One step towards such a classification was the introduction of so-called infinite coclass sequences by du Sautoy and Eick & Leedham-Green. The groups in such a sequence can be described by a parametrised presentation. For prime 2 and a fixed coclass r it holds that almost all 2-groups of coclass r fall into finitely many infinite coclass sequences. So describing the infinite sequences yields an almost classification in these cases. In this work it is shown that using the parametrised presentations one can compute certain invariants for almost all groups in an infinite coclass sequence, especially the Schur multiplicator. This is done by introducing a way to work with almost all groups at a time by a symbolic computation.
Download or read book Groups of Prime Power Order Volume 2 written by Yakov Berkovich and published by Walter de Gruyter. This book was released on 2008-12-10 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes devoted to elementary finite p-group theory. Similar to the first volume, hundreds of important results are analyzed and, in many cases, simplified. Important topics presented in this monograph include: (a) classification of p-groups all of whose cyclic subgroups of composite orders are normal, (b) classification of 2-groups with exactly three involutions, (c) two proofs of Ward's theorem on quaternion-free groups, (d) 2-groups with small centralizers of an involution, (e) classification of 2-groups with exactly four cyclic subgroups of order 2n > 2, (f) two new proofs of Blackburn's theorem on minimal nonmetacyclic groups, (g) classification of p-groups all of whose subgroups of index p2 are abelian, (h) classification of 2-groups all of whose minimal nonabelian subgroups have order 8, (i) p-groups with cyclic subgroups of index p2 are classified. This volume contains hundreds of original exercises (with all difficult exercises being solved) and an extended list of about 700 open problems. The book is based on Volume 1, and it is suitable for researchers and graduate students of mathematics with a modest background on algebra.
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Function Algebras on Finite Sets written by Dietlinde Lau and published by Springer Science & Business Media. This book was released on 2006-11-23 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function Algebras on Finite Sets gives a broad introduction to the subject, leading up to the cutting edge of research. The general concepts of the Universal Algebra are given in the first part of the book, to familiarize the reader from the very beginning on with the algebraic side of function algebras. The second part covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, and clone theory.
Download or read book Turn taking in human communicative interaction written by Judith Holler and published by Frontiers Media SA. This book was released on 2016-05-09 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core use of language is in face-to-face conversation. This is characterized by rapid turn-taking. This turn-taking poses a number central puzzles for the psychology of language. Consider, for example, that in large corpora the gap between turns is on the order of 100 to 300 ms, but the latencies involved in language production require minimally between 600 ms (for a single word) or 1500 ms (for as simple sentence). This implies that participants in conversation are predicting the ends of the incoming turn and preparing in advance. But how is this done? What aspects of this prediction are done when? What happens when the prediction is wrong? What stops participants coming in too early? If the system is running on prediction, why is there consistently a mode of 100 to 300 ms in response time? The timing puzzle raises further puzzles: it seems that comprehension must run parallel with the preparation for production, but it has been presumed that there are strict cognitive limitations on more than one central process running at a time. How is this bottleneck overcome? Far from being 'easy' as some psychologists have suggested, conversation may be one of the most demanding cognitive tasks in our everyday lives. Further questions naturally arise: how do children learn to master this demanding task, and what is the developmental trajectory in this domain? Research shows that aspects of turn-taking, such as its timing, are remarkably stable across languages and cultures, but the word order of languages varies enormously. How then does prediction of the incoming turn work when the verb (often the informational nugget in a clause) is at the end? Conversely, how can production work fast enough in languages that have the verb at the beginning, thereby requiring early planning of the whole clause? What happens when one changes modality, as in sign languages – with the loss of channel constraints is turn-taking much freer? And what about face-to-face communication amongst hearing individuals – do gestures, gaze, and other body behaviors facilitate turn-taking? One can also ask the phylogenetic question: how did such a system evolve? There seem to be parallels (analogies) in duetting bird species, and in a variety of monkey species, but there is little evidence of anything like this among the great apes. All this constitutes a neglected set of problems at the heart of the psychology of language and of the language sciences. This Research Topic contributes to advancing our understanding of these problems by summarizing recent work from psycholinguists, developmental psychologists, students of dialog and conversation analysis, linguists, phoneticians, and comparative ethologists.
Download or read book Handbook of Computational Group Theory written by Derek F. Holt and published by CRC Press. This book was released on 2005-01-13 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundame
Download or read book The Structure of Groups of Prime Power Order written by Charles Richard Leedham-Green and published by Clarendon Press. This book was released on 2002 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important monograph summarizing the development of a classification system of finite p-groups.
Download or read book Lifelong Machine Learning Second Edition written by Zhiyuan Sun and published by Springer Nature. This book was released on 2022-06-01 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lifelong Machine Learning, Second Edition is an introduction to an advanced machine learning paradigm that continuously learns by accumulating past knowledge that it then uses in future learning and problem solving. In contrast, the current dominant machine learning paradigm learns in isolation: given a training dataset, it runs a machine learning algorithm on the dataset to produce a model that is then used in its intended application. It makes no attempt to retain the learned knowledge and use it in subsequent learning. Unlike this isolated system, humans learn effectively with only a few examples precisely because our learning is very knowledge-driven: the knowledge learned in the past helps us learn new things with little data or effort. Lifelong learning aims to emulate this capability, because without it, an AI system cannot be considered truly intelligent. Research in lifelong learning has developed significantly in the relatively short time since the first edition of this book was published. The purpose of this second edition is to expand the definition of lifelong learning, update the content of several chapters, and add a new chapter about continual learning in deep neural networks—which has been actively researched over the past two or three years. A few chapters have also been reorganized to make each of them more coherent for the reader. Moreover, the authors want to propose a unified framework for the research area. Currently, there are several research topics in machine learning that are closely related to lifelong learning—most notably, multi-task learning, transfer learning, and meta-learning—because they also employ the idea of knowledge sharing and transfer. This book brings all these topics under one roof and discusses their similarities and differences. Its goal is to introduce this emerging machine learning paradigm and present a comprehensive survey and review of the important research results and latest ideas in the area. This book is thus suitable for students, researchers, and practitioners who are interested in machine learning, data mining, natural language processing, or pattern recognition. Lecturers can readily use the book for courses in any of these related fields.
Download or read book Analytic Pro P Groups written by J. D. Dixon and published by Cambridge University Press. This book was released on 2003-09-18 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date treatment of analytic pro-p groups for graduate students and researchers.
Download or read book New Horizons in pro p Groups written by Marcus du Sautoy and published by Springer Science & Business Media. This book was released on 2000-05-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
Download or read book Class Field Theory written by Georges Gras and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global class field theory is a major achievement of algebraic number theory based on the functorial properties of the reciprocity map and the existence theorem. This book explores the consequences and the practical use of these results in detailed studies and illustrations of classical subjects. In the corrected second printing 2005, the author improves many details all through the book.
Download or read book Groups as Galois Groups written by Helmut Völklein and published by Cambridge University Press. This book was released on 1996-08-13 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops the mathematical background and recent results on the Inverse Galois Problem.
Download or read book Pro NET Performance written by Sasha Goldshtein and published by Apress. This book was released on 2012-10-22 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maximizing the performance of your algorithms and applications is extremely important and can give you a competitive advantage, a lower cost of ownership, and happier users. Pro .NET Performance explains the internals of Windows, the CLR, and the physical hardware that affect the performance of your applications, and gives you the knowledge and tools to measure how your code performs in isolation from external factors. The book is full of C# code samples and tips to help you squeeze every bit of juice from your application—lower memory utilization, consistent CPU usage, and fewer I/O operations across the network and disk. Pro .NET Performance will change the way you think about .NET application development. Guides you through performance measurement with a variety of profilers and other tools Explains how OS and CLR internals affect your application’s performance in unexpected ways Provides you with tips and real-life case studies for improving application performance
Download or read book Essential COM written by Don Box and published by Addison-Wesley Professional. This book was released on 1998 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a distinctive approach, this book will teach readers not only how to use COM but how to think in COM. COM can greatly improve the efficiency of applications, but COM fluency is a difficult task. The book is a top resource for developers who need to make the transition from superficial understanding to deep knowledge.
Download or read book New Perspectives in Algebra Topology and Categories written by Maria Manuel Clementino and published by Springer Nature. This book was released on 2021-10-16 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to some key subjects in algebra and topology. It consists of comprehensive texts of some hours courses on the preliminaries for several advanced theories in (categorical) algebra and topology. Often, this kind of presentations is not so easy to find in the literature, where one begins articles by assuming a lot of knowledge in the field. This volume can both help young researchers to quickly get into the subject by offering a kind of « roadmap » and also help master students to be aware of the basics of other research directions in these fields before deciding to specialize in one of them. Furthermore, it can be used by established researchers who need a particular result for their own research and do not want to go through several research papers in order to understand a single proof. Although the chapters can be read as « self-contained » chapters, the authors have tried to coordinate the texts in order to make them complementary. The seven chapters of this volume correspond to the seven courses taught in two Summer Schools that took place in Louvain-la-Neuve in the frame of the project Fonds d’Appui à l’Internationalisation of the Université catholique de Louvain to strengthen the collaborations with the universities of Coimbra, Padova and Poitiers, within the Coimbra Group.
Download or read book Graph Theory written by Beril Sirmacek and published by BoD – Books on Demand. This book was released on 2018-01-31 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is prepared as a combination of the manuscripts submitted by respected mathematicians and scientists around the world. As an editor, I truly enjoyed reading each manuscript. Not only will the methods and explanations help you to understand more about graph theory, but I also hope you will find it joyful to discover ways that you can apply graph theory in your scientific field. I believe the book can be read from the beginning to the end at once. However, the book can also be used as a reference guide in order to turn back to it when it is needed. I have to mention that this book assumes the reader to have a basic knowledge about graph theory. The very basics of the theory and terms are not explained at the beginner level. I hope this book will support many applied and research scientists from different scientific fields.
Download or read book Server Component Patterns written by Markus Völter and published by Wiley. This book was released on 2002-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed exploration of the basic patterns underlying today's component infrastructures. The latest addition to this best-selling series opens by providing an "Alexandrian-style" pattern language covering the patterns underlying EJB, COM+ and CCM. It addresses not only the underlying building blocks, but also how they interact and why they are used. The second part of the book provides more detail about how these building blocks are employed in EJB. In the final section the authors fully explore the benefits of building a system based on components. * Examples demonstrate how the 3 main component infrastructures EJB, CCM and COM+ compare * Provides a mix of principles and concrete examples with detailed UML diagrams and extensive source code * Forewords supplied by industry leaders: Clemens Syzperski and Frank Buschmann
