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Noncommutative Geometry and Particle Physics
This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative geometry. In the first part, we introduce the main concepts and techniques by studying finite noncommutative spaces, providing a “light” approach to noncommutative geometry. We then proceed with the general framework by defining and analyzing noncommutative spin manifolds and deriving some main results on them, such as the local index formula. In the second part, we show how noncommutative spin manifolds naturally give rise to gauge theories, applying this principle to specific examples. We subsequently geometrically derive abelian and non-abelian Yang-Mills gauge theories, and eventually the full Standard Model of particle physics, and conclude by explaining how noncommutative geometry might indicate how to proceed beyond the Standard Model.
Unconventional Models of Computation
This book constitutes the refereed proceedings of the Third International Conference on Unconventional Models of Computation, UMC 2002, held in Kobe, Japan in October 2002.The 18 revised full papers presented together with eight invited full papers were carefully reviewed and selected from 36 submissions. All major areas of unconventinal computing models are covered, especially quantum computing, DNA computing, membrane computing, cellular computing, and possibilities to break Turing's barrier. The authors address theoretical aspects, practical implementations, as well as philosophical reflections.
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Alice and Bob Meet Banach
The quest to build a quantum computer is arguably one of the major scientific and technological challenges of the twenty-first century, and quantum information theory (QIT) provides the mathematical framework for that quest. Over the last dozen or so years, it has become clear that quantum information theory is closely linked to geometric functional analysis (Banach space theory, operator spaces, high-dimensional probability), a field also known as asymptotic geometric analysis (AGA). In a nutshell, asymptotic geometric analysis investigates quantitative properties of convex sets, or other geometric structures, and their approximate symmetries as the dimension becomes large. This makes it es...
Cognitive Pragmatics
Speakers tend to compose their utterances in such a way that the message they want to get across is hardly ever fully encoded by the meanings of the words and the grammar they use. Instead speakers rely on hearers adding conceptual and emotive content while interpreting the contextually appropriate meanings and intentions behind utterances. This insight, which is of course particularly relevant in all kinds of indirect, figurative or humorous talk, lies at the heart of the linguistic discipline of pragmatics. If pragmatics is the study of meaning-in-context, then cognitive pragmatics can be broadly defined as encompassing the study of the cognitive principles and processes involved in the co...
Linux in a Nutshell
Over the last few years, Linux has grown both as an operating system and a tool for personal and business use. Simultaneously becoming more user friendly and more powerful as a back-end system, Linux has achieved new plateaus: the newer filesystems have solidified, new commands and tools have appeared and become standard, and the desktop--including new desktop environments--have proved to be viable, stable, and readily accessible to even those who don't consider themselves computer gurus. Whether you're using Linux for personal software projects, for a small office or home office (often termed the SOHO environment), to provide services to a small group of colleagues, or to administer a site ...
Artificial Intelligence and Soft Computing – ICAISC 2008
This book constitutes the refereed proceedings of the 9th International Conference on Artificial Intelligence and Soft Computing, ICAISC 2008, held in Zakopane, Poland, in June 2008. The 116 revised contributed papers presented were carefully reviewed and selected from 320 submissions. The papers are organized in topical sections on neural networks and their applications, fuzzy systems and their applications, evolutionary algorithms and their applications, classification, rule discovery and clustering, image analysis, speech and robotics, bioinformatics and medical applications, various problems of artificial intelligence, and agent systems.
Cape of Torments
Cape of Torments, first published in 1983, is a detailed examination of slavery in the Colony of the Cape of Good Hope. It describes the reactions of the slaves to their conditions of slavery, concentrating on those aspects of their lives which their masters considered criminal, and above all on the large numbers of occasions when slaves ran away in an attempt to start a new life elsewhere. The book examines Cape society and slave organization; the complex relations between slaves and the other groups of population at the Cape – Khoisan, Xhosa, Sotho-Tswana, Dutch East India Co servants and sailors – and the opportunities for escape; major uprisings and rebellions. The major theme of the book is the extent to which the Cape slaves were able to build a culture of their own, and the legacy of slavery to their descendants in modern South Africa.
