Irregularities of Distribution in Euclidean N-space
Author : Wolfgang M. Schmidt
Publisher :
Page : 9 pages
File Size : 10,28 MB
Release : 1972
Category : Geometry
ISBN :
Author : Wolfgang M. Schmidt
Publisher :
Page : 9 pages
File Size : 10,28 MB
Release : 1972
Category : Geometry
ISBN :
Author : Viktor Benes
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 25,50 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 9401155321
The last decade has seen a remarkable development of the "Marginal and Moment Problems" as a research area in Probability and Statistics. Its attractiveness stemmed from its lasting ability to provide a researcher with difficult theoretical problems that have direct consequences for appli cations outside of mathematics. The relevant research aims centered mainly along the following lines that very frequently met each other to provide sur prizing and useful results : -To construct a probability distribution (to prove its existence, at least) with a given support and with some additional inner stochastic property defined typically either by moments or by marginal distributions. -To study the geometrical and topological structure of the set of prob ability distributions generated by such a property mostly with the aim to propose a procedure that would result in a stochastic model with some optimal properties within the set of probability distributions. These research aims characterize also, though only very generally, the scientific program of the 1996 conference "Distributions with given marginals and moment problems" held at the beginning of September in Prague, Czech Republic, to perpetuate the tradition and achievements of the closely related 1990 Roma symposium "On Frechet Classes" 1 and 1993 Seattle" AMS Summer Conference on Marginal Problem".
Author : József Beck
Publisher :
Page : 294 pages
File Size : 41,87 MB
Release : 1987
Category : Mathematics
ISBN : 9780521307925
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'.
Author : Jozsef Beck
Publisher : Cambridge University Press
Page : 0 pages
File Size : 17,62 MB
Release : 2009-01-08
Category : Mathematics
ISBN : 9780521093002
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'.
Author : Roman Vershynin
Publisher : Cambridge University Press
Page : 299 pages
File Size : 32,80 MB
Release : 2018-09-27
Category : Business & Economics
ISBN : 1108415199
An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
Author : H. T. Banks
Publisher : CRC Press
Page : 403 pages
File Size : 30,28 MB
Release : 2014-04-01
Category : Mathematics
ISBN : 1482206439
Modeling and Inverse Problems in the Presence of Uncertainty collects recent research-including the authors' own substantial projects-on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation i
Author : Vladimir V. Kalashnikov
Publisher : Springer
Page : 230 pages
File Size : 46,70 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540473947
Author : Karl E. Gustafson
Publisher : Courier Corporation
Page : 500 pages
File Size : 26,72 MB
Release : 2012-04-26
Category : Mathematics
ISBN : 0486140873
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Author : Cornelia Schneider
Publisher : Springer Nature
Page : 339 pages
File Size : 19,23 MB
Release : 2021-05-31
Category : Mathematics
ISBN : 3030751392
This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs. It consists of three parts. Part I, the introduction, provides a quick guide to function spaces and the general concepts needed. Part II is the heart of the monograph and deals with the regularity of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type on non smooth domains. Linear as well as nonlinear equations are considered and special attention is paid to PDEs of parabolic type. For the classes of PDEs investigated a justification is given for the use of adaptive numerical schemes. Finally, the last part has a slightly different focus and is concerned with traces in several function spaces such as Besov– and Triebel–Lizorkin spaces, but also in quite general smoothness Morrey spaces. The book is aimed at researchers and graduate students working in regularity theory of PDEs and function spaces, who are looking for a comprehensive treatment of the above listed topics.
Author : D. Logofet
Publisher : CRC Press
Page : 383 pages
File Size : 36,8 MB
Release : 2018-02-01
Category : Science
ISBN : 1351091220
Intuitive ideas of stability in dynamics of a biological population, community, or ecosystem can be formalized in the framework of corresponding mathematical models. These are often represented by systems of ordinary differential equations or difference equations. Matrices and Graphs covers achievements in the field using concepts from matrix theory and graph theory. The book effectively surveys applications of mathematical results pertinent to issues of theoretical and applied ecology. The only mathematical prerequisite for using Matrices and Graphs is a working knowledge of linear algebra and matrices. The book is ideal for biomathematicians, ecologists, and applied mathematicians doing research on dynamic behavior of model populations and communities consisting of multi-component systems. It will also be valuable as a text for a graduate-level topics course in applied math or mathematical ecology.