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A Theory of Distributed Number

Author: Myriam Dali

Publisher: John Benjamins Publishing Company

Published: 2021-08-15

Total Pages: 167

ISBN-13: 902725964X

The objective of this book is to develop a deeper understanding of the form and interpretation of number. Using insights from Generative syntax and Distributed Morphology, we develop a theory of distributed number, arguing that number can be associated with several functional heads and that these projections exist depending on the features they specify. In doing so, we make a strong claim for a close mapping between the syntactic structure and the semantics in the noun phrase, since each node corresponds to a different interpretation of number. Despite some technical implementations, the book is accessible to linguists working outside any particular syntax-semantic framework, since we propose generalizations that are applicable in many, if not all, models of grammar. The book focuses on Arabic, but also discusses a number of languages including English, French, Ojibwe, Blackfoot, Hebrew, Japanese, Korean, Chinese, Turkish, Persian, and Western Armenian.

Information Flow

Author: Jon Barwise

Publisher: Cambridge University Press

Published: 1997-07-28

Total Pages: 294

ISBN-13: 9780521583862

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Information is a central topic in computer science, cognitive science and philosophy. Drawing on ideas from these subjects, this book addresses the definition and place of information in society.

Distributed Computing

Author: David Peleg

Publisher: SIAM

Published: 2000-01-01

Total Pages: 338

ISBN-13: 0898714648

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Gives a thorough exposition of network spanners and other locality-preserving network representations such as sparse covers and partitions.

The Mathematical Theory of Communication

Author: Claude E Shannon

Publisher: University of Illinois Press

Published: 1998-09-01

Total Pages: 141

ISBN-13: 025209803X

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Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

Number Theory

Author: Benjamin Fine

Publisher: Springer Science & Business Media

Published: 2007-06-04

Total Pages: 342

ISBN-13: 0817645411

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This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. Analytic number theory and algebraic number theory both receive a solid introductory treatment. The book’s user-friendly style, historical context, and wide range of exercises make it ideal for self study and classroom use.

Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers

Author: Stephen Boyd

Publisher: Now Publishers Inc

Published: 2011

Total Pages: 138

ISBN-13: 160198460X

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Surveys the theory and history of the alternating direction method of multipliers, and discusses its applications to a wide variety of statistical and machine learning problems of recent interest, including the lasso, sparse logistic regression, basis pursuit, covariance selection, support vector machines, and many others.

Introduction to Statistical Decision Theory

Author: Silvia Bacci

Publisher: CRC Press

Published: 2019-07-11

Total Pages: 217

ISBN-13: 1351621386

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Introduction to Statistical Decision Theory: Utility Theory and Causal Analysis provides the theoretical background to approach decision theory from a statistical perspective. It covers both traditional approaches, in terms of value theory and expected utility theory, and recent developments, in terms of causal inference. The book is specifically designed to appeal to students and researchers that intend to acquire a knowledge of statistical science based on decision theory. Features Covers approaches for making decisions under certainty, risk, and uncertainty Illustrates expected utility theory and its extensions Describes approaches to elicit the utility function Reviews classical and Bayesian approaches to statistical inference based on decision theory Discusses the role of causal analysis in statistical decision theory

Value Distribution Theory Related to Number Theory

Author: Pei-Chu Hu

Publisher: Springer Science & Business Media

Published: 2006-10-06

Total Pages: 546

ISBN-13: 3764375698

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The subject of the book is Diophantine approximation and Nevanlinna theory. This book proves not just some new results and directions but challenging open problems in Diophantine approximation and Nevanlinna theory. The authors’ newest research activities on these subjects over the past eight years are collected here. Some of the significant findings are the proof of Green-Griffiths conjecture by using meromorphic connections and Jacobian sections, generalized abc-conjecture, and more.

Models for Parallel and Distributed Computation

Author: R. Correa

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 334

ISBN-13: 1475736096

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Parallel and distributed computation has been gaining a great lot of attention in the last decades. During this period, the advances attained in computing and communication technologies, and the reduction in the costs of those technolo gies, played a central role in the rapid growth of the interest in the use of parallel and distributed computation in a number of areas of engineering and sciences. Many actual applications have been successfully implemented in various plat forms varying from pure shared-memory to totally distributed models, passing through hybrid approaches such as distributed-shared memory architectures. Parallel and distributed computation differs from dassical sequential compu tation in some of the following major aspects: the number of processing units, independent local dock for each unit, the number of memory units, and the programming model. For representing this diversity, and depending on what level we are looking at the problem, researchers have proposed some models to abstract the main characteristics or parameters (physical components or logical mechanisms) of parallel computers. The problem of establishing a suitable model is to find a reasonable trade-off among simplicity, power of expression and universality. Then, be able to study and analyze more precisely the behavior of parallel applications.

Distribution Theory of Runs and Patterns and Its Applications

Author: James C. Fu

Publisher: World Scientific

Published: 2003

Total Pages: 174

ISBN-13: 9810245874

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A rigorous, comprehensive introduction to the finite Markov chain imbedding technique for studying the distributions of runs and patterns from a unified and intuitive viewpoint, away from the lines of traditional combinatorics.