Discrepancies
Discrepancies

Author: Alex Gross

Publisher:

Published: 2010

Total Pages: 0

ISBN-13: 9781584234265

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Frederick Douglass, a Centaur, serpents, Christ, and an assortment of mythical beasts are just some of the characters that appear within the world of Alex Gross's lush, incongruous paintings in Discrepancies. Historical figures coexist with fashionable men and women, often on their cell phones, and frequently set in landscapes that simultaneously invoke both Gothic Flemish Art and the metropolitan, billboard-infested urban advertising that we find inescapable in our world today. This slim, oversized edition catalogues the best of his work over the last 4 years.

Sequences, Discrepancies and Applications
Sequences, Discrepancies and Applications

Author: Michael Drmota

Publisher: Springer

Published: 2006-11-14

Total Pages: 517

ISBN-13: 354068333X

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The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory.

Discrepancy Theory
Discrepancy Theory

Author: Dmitriy Bilyk

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-01-20

Total Pages: 303

ISBN-13: 3110651203

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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

Geometric Discrepancy
Geometric Discrepancy

Author: Jiri Matousek

Publisher: Springer Science & Business Media

Published: 1999-05-19

Total Pages: 310

ISBN-13: 9783540655282

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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.

Legal Discrepancies: Internal Displacement of Women and Children in Africa
Legal Discrepancies: Internal Displacement of Women and Children in Africa

Author: Veronica Patience Fynn

Publisher: Lulu.com

Published: 2010-09-29

Total Pages: 262

ISBN-13: 0557509874

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Veronica Fynn's "Legal Discrepancies: Internal Displacement of Women and Children in Africa" is not only timely (produced soon after Africa adopts its historical Convention on the Protection and Assistance of Internally Displaced People in Africa, 2009). "Legal Discrepancies: Legal Discrepancies: Internal Displacement of Women and Children in Africa" offers the first comprehensive, holistic, and multi-disciplinary examination on the efficacy of international, regional and national laws and policies in protecting and assisting IDPs. Fynn's research provides a thought provoking framework for academics, lawyers, public health practitioners, aid workers, national governments, regional institutions and international organizations to rethink the legal space within which internally displaced peoples lingers.

The Discrepancy Method
The Discrepancy Method

Author: Bernard Chazelle

Publisher: Cambridge University Press

Published: 2000

Total Pages: 500

ISBN-13: 9780521003575

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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.