Discrepancy Theory
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Geometric Discrepancy
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Author : Jiri Matousek
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-02
Geometric Discrepancy written by Jiri Matousek 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 2009-12-02 with Mathematics categories.
Discrepancy theory is also called the theory of irregularities of distribution. Here are some typical questions: What is the "most uniform" way of dis tributing n points in the unit square? How big is the "irregularity" necessarily present in any such distribution? For a precise formulation of these questions, we must quantify the irregularity of a given distribution, and discrepancy is a numerical parameter of a point set serving this purpose. Such questions were first tackled in the thirties, with a motivation com ing from number theory. A more or less satisfactory solution of the basic discrepancy problem in the plane was completed in the late sixties, and the analogous higher-dimensional problem is far from solved even today. In the meantime, discrepancy theory blossomed into a field of remarkable breadth and diversity. There are subfields closely connected to the original number theoretic roots of discrepancy theory, areas related to Ramsey theory and to hypergraphs, and also results supporting eminently practical methods and algorithms for numerical integration and similar tasks. The applications in clude financial calculations, computer graphics, and computational physics, just to name a few. This book is an introductory textbook on discrepancy theory. It should be accessible to early graduate students of mathematics or theoretical computer science. At the same time, about half of the book consists of material that up until now was only available in original research papers or in various surveys.
A Panorama Of Discrepancy Theory
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Author : William Chen
language : en
Publisher: Springer
Release Date : 2014-10-07
A Panorama Of Discrepancy Theory written by William Chen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-07 with Mathematics categories.
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.
Discrepancy Theory
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Author : Dmitriy Bilyk
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-01-20
Discrepancy Theory written by Dmitriy Bilyk and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-20 with Mathematics categories.
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.
Handbook Of Theories Of Social Psychology
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Author : Paul A M Van Lange
language : en
Publisher: SAGE
Release Date : 2011-08-31
Handbook Of Theories Of Social Psychology written by Paul A M Van Lange and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-31 with Psychology categories.
Providing a comprehensive exploration of the major developments of social psychological theories that have taken place over the past half century, this innovative two-volume handbook is a state of the art overview of the primary theories and models that have been developed in this vast and fascinating field. Authored by leading international experts, each chapter represents a personal and historical narrative of the theory′s development including the inspirations, critical junctures, and problem-solving efforts that effected theoretical choices and determined the theory′s impact and its evolution. Unique to this handbook, these narratives provide a rich background for understanding how theories are created, nurtured, and shaped over time, and examining their unique contribution to the field as a whole. To examine its societal impact, each theory is evaluated in terms of its applicability to better understanding and solving critical social issues and problems.
The Discrepancy Method
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Author : Bernard Chazelle
language : en
Publisher: Cambridge University Press
Release Date : 2000
The Discrepancy Method written by Bernard Chazelle 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 2000 with Computers categories.
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.
The Self In Social Psychology
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Author : Roy F. Baumeister
language : en
Publisher: Psychology Press
Release Date : 1999
The Self In Social Psychology written by Roy F. Baumeister and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Medical categories.
This reader presents a collection of articles on the study of the self in social psychology. The readings are in thematic sections covering topics such as self-knowledge, self-esteem, self-regulation, self-presentation, and the self and culture.
Theory Construction In Social Personality Psychology
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Author : Arie W. Kruglanski
language : en
Publisher: Psychology Press
Release Date : 2016-02-04
Theory Construction In Social Personality Psychology written by Arie W. Kruglanski and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-04 with Psychology categories.
This special issue features papers that offer deeply felt, valuable perspectives on diverse aspects of theory construction in social-personality psychology. The goal is to furnish a basis for starting a discussion about the considerable challenges of theorizing, the ways of meeting those challenges, and the great rewards that successful theorizing offers to the discipline as a whole.
Emotion
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Author : Robert D. Kavanaugh
language : en
Publisher: Psychology Press
Release Date : 1996
Emotion written by Robert D. Kavanaugh and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Psychology categories.
This volume represents a range of approaches, both theoretical and applied, to the topic of emotion by neuroscientists, developmentalists, social and personality psychologists, and clinical psychologists. Readers should appreciate the diversity of questions and methods presented, as well as note the common ground that emerges in these discussions. Chapter coverage ranges from the neural bases of emotion to the role of emotion in psychotherapy. There are vigorous discussions regarding the concept of emotion, its role in development, and its application to contemporary problems such as violence and war. The papers in this volume begin a dialogue about possible intersections in the study of emotion from scholars who embrace sharply different perspectives on this complex topic -- a fitting tribute in memory of G. Stanley Hall.
Advances In Experimental Social Psychology
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Author :
language : en
Publisher: Academic Press
Release Date : 1989-05-01
Advances In Experimental Social Psychology written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-05-01 with Psychology categories.
Advances in Experimental Social Psychology
Social Cognition
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Author : Martha Augoustinos
language : en
Publisher: Pine Forge Press
Release Date : 2006-05-30
Social Cognition written by Martha Augoustinos and has been published by Pine Forge Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-30 with Psychology categories.
'A rich intellectual feast for the reader and for the field, one that represents both theories and data that have emerged from around the world' - Kay Deaux, Distinguished Professor of Psychology and Women's Studies, City University, New York `The time is ripe for this unique integration of the formerly disparate major approaches to social psychological issues. I highly recommend this readable and exciting review of social cognition topics. The core principles of the social cognition, social identity, social representations, and discursive approaches are clearly outlined in such a way that students will truly engage with the theories' - Nyla R Branscombe, Professor of Psychology, University of Kansas With a new structure, the Second Edition of this critically acclaimed textbook represents a much more `integrated' and pedagogically developed account of its predecessor. The authors examine the different theoretical and methodological accomplishments of the field by focusing on the four major and influential perspectives which have currency in social psychology today - social cognition, social identity, social representations and discursive psychology. A foundational chapter presenting an account of these perspectives is then followed by topic-based chapters from the point of view of each perspective in turn, discussing commonalities and divergences across each of them. Key features of Second Edition: - cross-referencing throughout the text - especially to the foundational chapter - key terms in bold which refer to a glossary at the back of the textbook - extensive pedagogical features: textboxes illustrating key studies, effective summaries and further readings in every chapter.