Irregularities of Distribution


Book Description

This book is an authoritative description of the various approaches to and methods in the theory of irregularities of distribution. The subject is primarily concerned with number theory, but also borders on combinatorics and probability theory. The work is in three parts. The first is concerned with the classical problem, complemented where appropriate with more recent results. In the second part, the authors study generalizations of the classical problem, pioneered by Schmidt. Here, they include chapters on the integral equation method of Schmidt and the more recent Fourier transform technique. The final part is devoted to Roth's '1/4-theorem'.




Issues in Earth Sciences, Geology, and Geophysics: 2011 Edition


Book Description

Issues in Earth Sciences, Geology, and Geophysics: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Earth Sciences, Geology, and Geophysics. The editors have built Issues in Earth Sciences, Geology, and Geophysics: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Earth Sciences, Geology, and Geophysics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Earth Sciences, Geology, and Geophysics: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.




Research and Practical Issues of Enterprise Information Systems II Volume 2


Book Description

This volume presents work from the IFIP TC 8 WG 8.9 International Conference on the Research and Practical Issues of Enterprise Information Systems (CONFENIS 2007). Enterprise information systems (EIS) have become increasingly popular. EIS integrate and support business processes across functional boundaries in a supply chain environment. In recent years, more and more enterprises world-wide have adopted EIS such as Enterprise Resource Planning (ERP) for running their businesses.




Analytic Number Theory


Book Description

A collection of papers inspired by the work of Britain's first Fields Medallist, Klaus Roth.




Sequences, Discrepancies and Applications


Book Description

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.




Geometric Discrepancy


Book Description

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.




The Distribution of Prime Numbers


Book Description

Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem. Throughout, the emphasis has been placed on explaining the main ideas rather than the most general results available. As a result, several methods are presented in terms of concrete examples that simplify technical details, and theorems are stated in a form that facilitates the understanding of their proof at the cost of sacrificing some generality. Each chapter concludes with numerous exercises of various levels of difficulty aimed to exemplify the material, as well as to expose the readers to more advanced topics and point them to further reading sources.




Current Topics in Structural Geology


Book Description

Current Topics in Structural Geology is a collection of invited papers on particular topics of interest in structural geology, from field-based problems on the scale of terranes to microstructures in nature and experiment. Contributors also explore earthquake faulting; S-C mylonites; tectonics and hydrogeology of accretionary prisms; deformation mechanisms; transparent polycrystals; shape and lattice preferred orientations; and mushroom-shaped diapirs. This text is comprised of 13 chapters; the first of which introduces the reader to shallow crustal earthquakes and the structural geology of fault zones. The first chapter also emphasizes the seismogenic regime, strike-slip earthquake rupture processes, structural questions posed by seismology, and mesothermal gold-quartz lodes hosted in steeply inclined shear zones of mixed 'brittle-ductile' character. Discussion then turns to normal faulting in the upper continental crust, along with the application of a method based primarily on fault slip data analysis to determine paleostress in terms of orientation and magnitude. The mechanical behavior and deformation textures of simulated halite shear zones are considered, with special regard to the internal structures of S-C mylonites and their mechanical implications. The remaining chapters examine the role of decollement zone in the tectonics and hydrogeology of accretionary prisms; synkinematic microscopy of transparent polycrystals; and the origin of metamorphic core complexes and detachment faults formed during Tertiary continental extension in the northern Colorado River region. This book is intended primarily for students and practitioners of structural geology.




Modern Issues in Perception


Book Description

The book deals with two focal issues: 1. The structural rules according to which information is organized in perception (Part I). 2. The rules on how pieces of information are integrated and transformed into judgements (Part II).Included in Part I are theories on neural mechanisms and models linking perception and memory. Part II refers to simple physical and complex semantic dimensions. Antecedents in animal behaviour are explored too. The book is intended for a broad readership; it should stimulate research which will link topics that have been traditionally separated.Features of the book are: - a synopsis of discrete, structural and quantitative aspects of perception linking perception with higher cognition and memory. - an overview on new approaches and findings from East and West on perceptual organization and rules inherent to judgement. - the chapters are strongly interconnected and didactical in tone. Introductions are designed to increase readability of the work.




The Text Mining Handbook


Book Description

Publisher description