Symbolic Computation With Infinite Sequences Of P Groups With Fixed Coclass
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Symbolic Computation With Infinite Sequences Of P Groups With Fixed Coclass
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Author : Dörte Feichtenschlager
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2010
Symbolic Computation With Infinite Sequences Of P Groups With Fixed Coclass written by Dörte Feichtenschlager and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2006
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Function Algebras On Finite Sets
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Author : Dietlinde Lau
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-23
Function Algebras On Finite Sets written by Dietlinde Lau and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-23 with Mathematics categories.
Functions which are defined on finite sets occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such functions (so-called function algebras), have been intensively studied. This book gives a broad introduction to the theory of function algebras and leads to the cutting edge of research. To familiarize the reader from the very beginning on with the algebraic side of function algebras the more general concepts of the Universal Algebra is given in the first part of the book. The second part on fuction algebras covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, clone theory. This book is an insdispensible source on function algebras for graduate students and researchers in mathematical logic and theoretical computer science.
Analytic Pro P Groups
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Author : J. D. Dixon
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-18
Analytic Pro P Groups written by J. D. Dixon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-18 with Mathematics categories.
An up-to-date treatment of analytic pro-p groups for graduate students and researchers.
Handbook Of Computational Group Theory
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Author : Derek F. Holt
language : en
Publisher: CRC Press
Release Date : 2005-01-13
Handbook Of Computational Group Theory written by Derek F. Holt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-13 with Mathematics categories.
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
Lifelong Machine Learning
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Author : Zhiyuan Chen
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2018-08-14
Lifelong Machine Learning written by Zhiyuan Chen and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-14 with Computers categories.
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.
Pro Net Performance
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Author : Sasha Goldshtein
language : en
Publisher: Apress
Release Date : 2012-10-22
Pro Net Performance written by Sasha Goldshtein and has been published by Apress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-22 with Computers categories.
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
Essential Com
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Author : Don Box
language : en
Publisher: Addison-Wesley Professional
Release Date : 1998
Essential Com written by Don Box and has been published by Addison-Wesley Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computers categories.
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.
Class Field Theory
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Author : Georges Gras
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Class Field Theory written by Georges Gras and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
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.
Groups As Galois Groups
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Author : Helmut Volklein
language : en
Publisher: Cambridge University Press
Release Date : 2008-06-12
Groups As Galois Groups written by Helmut Volklein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-12 with Mathematics categories.
This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realization of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.