Discrepancy Theory

Author : Jiri Matousek
Publisher : Springer Science & Business Media
ISBN 13 : 3642039421
Total Pages : 293 pages
Book Rating : 4.23/5 ( download)

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Download or read book Geometric Discrepancy written by Jiri Matousek and published by Springer Science & Business Media. This book was released on 2009-12-02 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the "most uniform" way of distributing n points in the unit square? How big is the "irregularity" necessarily present in any such distribution? This book is an accessible and lively introduction to the area of geometric discrepancy theory, with numerous exercises and illustrations. In separate, more specialized parts, it also provides a comprehensive guide to recent research.

Author : Dmitriy Bilyk
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110651203
Total Pages : 303 pages
Book Rating : 4.01/5 ( download)

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Download or read book Discrepancy Theory written by Dmitriy Bilyk and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-01-20 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory

Author : Dmitriy Bilyk
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110652587
Total Pages : 225 pages
Book Rating : 4.81/5 ( download)

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Download or read book Discrepancy Theory written by Dmitriy Bilyk and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-01-20 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.

Author : William Chen
Publisher : Springer
ISBN 13 : 3319046969
Total Pages : 695 pages
Book Rating : 4.69/5 ( download)

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Download or read book A Panorama of Discrepancy Theory written by William Chen and published by Springer. This book was released on 2014-10-07 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory. Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling and is currently located at the crossroads of number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. This book presents an invitation to researchers and students to explore the different methods and is meant to motivate interdisciplinary research.

Author : Josef Dick
Publisher : Cambridge University Press
ISBN 13 : 1139490052
Total Pages : 619 pages
Book Rating : 4.54/5 ( download)

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Download or read book Digital Nets and Sequences written by Josef Dick and published by Cambridge University Press. This book was released on 2010-09-09 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indispensable for students, invaluable for researchers, this comprehensive treatment of contemporary quasi–Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi–Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses with numerous examples, exercises and illustrations.

Author : Giancarlo Travaglini
Publisher : Cambridge University Press
ISBN 13 : 1107044030
Total Pages : 251 pages
Book Rating : 4.36/5 ( download)

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Download or read book Number Theory, Fourier Analysis and Geometric Discrepancy written by Giancarlo Travaglini and published by Cambridge University Press. This book was released on 2014-06-12 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

Author : Theo Gavrielides
Publisher : Criminal Justice Press
ISBN 13 : 9789525333329
Total Pages : 301 pages
Book Rating : 4.29/5 ( download)

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Download or read book Restorative Justice Theory and Practice written by Theo Gavrielides and published by Criminal Justice Press. This book was released on 2007 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study examines the harmful gap between the theory of restorative justice (RJ) and its application in programs in the U.S., Europe, and elsewhere. Data were obtained from four surveys of restorative justice practitioners, using a combination of qualitative methodologies, including questionnaire responses, interviews and focus groups.

Author : Giancarlo Travaglini
Publisher : Cambridge University Press
ISBN 13 : 1139992821
Total Pages : 251 pages
Book Rating : 4.24/5 ( download)

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Download or read book Number Theory, Fourier Analysis and Geometric Discrepancy written by Giancarlo Travaglini and published by Cambridge University Press. This book was released on 2014-06-12 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It starts as a traditional course in elementary number theory, and introduces the reader to subsequent material on uniform distribution of infinite sequences, and discrepancy of finite sequences. Both modern and classical aspects of the theory are discussed, such as Weyl's criterion, Benford's law, the Koksma–Hlawka inequality, lattice point problems, and irregularities of distribution for convex bodies. Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel functions.

Author : Yogesh K. Dwivedi
Publisher : Springer Science & Business Media
ISBN 13 : 1441961089
Total Pages : 515 pages
Book Rating : 4.82/5 ( download)

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Download or read book Information Systems Theory written by Yogesh K. Dwivedi and published by Springer Science & Business Media. This book was released on 2011-09-21 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The overall mission of this book is to provide a comprehensive understanding and coverage of the various theories and models used in IS research. Specifically, it aims to focus on the following key objectives: To describe the various theories and models applicable to studying IS/IT management issues. To outline and describe, for each of the various theories and models, independent and dependent constructs, reference discipline/originating area, originating author(s), seminal articles, level of analysis (i.e. firm, individual, industry) and links with other theories. To provide a critical review/meta-analysis of IS/IT management articles that have used a particular theory/model. To discuss how a theory can be used to better understand how information systems can be effectively deployed in today’s digital world. This book contributes to our understanding of a number of theories and models. The theoretical contribution of this book is that it analyzes and synthesizes the relevant literature in order to enhance knowledge of IS theories and models from various perspectives. To cater to the information needs of a diverse spectrum of readers, this book is structured into two volumes, with each volume further broken down into two sections. The first section of Volume 1 presents detailed descriptions of a set of theories centered around the IS lifecycle, including the Success Model, Technology Acceptance Model, User Resistance Theories, and four others. The second section of Volume 1 contains strategic and economic theories, including a Resource-Based View, Theory of Slack Resources, Portfolio Theory, Discrepancy Theory Models, and eleven others. The first section of Volume 2 concerns socio-psychological theories. These include Personal Construct Theory, Psychological Ownership, Transactive Memory, Language-Action Approach, and nine others. The second section of Volume 2 deals with methodological theories, including Critical Realism, Grounded Theory, Narrative Inquiry, Work System Method, and four others. Together, these theories provide a rich tapestry of knowledge around the use of theory in IS research. Since most of these theories are from contributing disciplines, they provide a window into the world of external thought leadership.

Author : Bernard Chazelle
Publisher : Cambridge University Press
ISBN 13 : 9780521003575
Total Pages : 500 pages
Book Rating : 4.71/5 ( download)

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Download or read book The Discrepancy Method written by Bernard Chazelle and published by Cambridge University Press. This book was released on 2000 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discrepancy method is the glue that binds randomness and complexity. It is the bridge between randomized computation and discrepancy theory, the area of mathematics concerned with irregularities in distributions. The discrepancy method has played a major role in complexity theory; in particular, it has caused a mini-revolution of sorts in computational geometry. This book tells the story of the discrepancy method in a few short independent vignettes. It is a varied tale which includes such topics as communication complexity, pseudo-randomness, rapidly mixing Markov chains, points on the sphere and modular forms, derandomization, convex hulls, Voronoi diagrams, linear programming and extensions, geometric sampling, VC-dimension theory, minimum spanning trees, linear circuit complexity, and multidimensional searching. The mathematical treatment is thorough and self-contained. In particular, background material in discrepancy theory is supplied as needed. Thus the book should appeal to students and researchers in computer science, operations research, pure and applied mathematics, and engineering.