Integration in Locally Compact Spaces by Means of Uniformly Distributed Sequences

Integration in Locally Compact Spaces by Means of Uniformly Distributed Sequences PDF Author: Karel Albertus Post
Publisher:
ISBN:
Category : Distribution modulo one
Languages : en
Pages : 98

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Integration in Locally Compact Spaces by Means of Uniformly Distributed Sequences

Integration in Locally Compact Spaces by Means of Uniformly Distributed Sequences PDF Author: Karel Albertus Post
Publisher:
ISBN:
Category : Distribution modulo one
Languages : en
Pages : 98

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Uniform Distribution of Sequences

Uniform Distribution of Sequences PDF Author: L. Kuipers
Publisher: Courier Corporation
ISBN: 0486149994
Category : Mathematics
Languages : en
Pages : 416

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Book Description
The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from its beginnings to the mid-1970s, with comprehensive coverage of both methods and their underlying principles. A practical introduction for students of number theory and analysis as well as a reference for researchers in the field, this book covers uniform distribution in compact spaces and in topological groups, in addition to examinations of sequences of integers and polynomials. Notes at the end of each section contain pertinent bibliographical references and a brief survey of additional results. Exercises range from simple applications of theorems to proofs of propositions that expand upon results stated in the text.

Uniformly Distributed Sequences on Locally Compact Groups

Uniformly Distributed Sequences on Locally Compact Groups PDF Author: Leonora Anne Zobkiw Benzinger
Publisher:
ISBN:
Category : Locally compact groups
Languages : en
Pages : 97

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Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 594

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Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Sequences, Discrepancies and Applications

Sequences, Discrepancies and Applications PDF Author: Michael Drmota
Publisher: Springer
ISBN: 354068333X
Category : Mathematics
Languages : en
Pages : 517

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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.

Government-wide Index to Federal Research & Development Reports

Government-wide Index to Federal Research & Development Reports PDF Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1352

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Selected Topics in Operations Research and Mathematical Economics

Selected Topics in Operations Research and Mathematical Economics PDF Author: G. Hammer
Publisher: Springer Science & Business Media
ISBN: 3642455670
Category : Business & Economics
Languages : en
Pages : 479

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Let eRN be the usual vector-space of real N-uples with the usual inner product denoted by (. ,. ). In this paper P is a nonempty compact polyhedral set of mN, f is a real-valued function defined on (RN continuously differentiable and fP is the line- ly constrained minimization problem stated as : min (f(x) I x € P) • For computing stationary points of problemtj) we propose a method which attempts to operate within the linear-simplex method structure. This method then appears as a same type of method as the convex-simplex method of Zangwill [6]. It is however, different and has the advantage of being less technical with regards to the Zangwill method. It has also a simple geometrical interpretation which makes it more under standable and more open to other improvements. Also in the case where f is convex an implementable line-search is proposed which is not the case in the Zangwill method. Moreover, if f(x) = (c,x) this method will coincide with the simplex method (this is also true in the case of the convex simplex method) i if f(x) = I Ixl 12 it will be almost the same as the algorithm given by Bazaraa, Goode, Rardin [2].

U.S. Government Research & Development Reports

U.S. Government Research & Development Reports PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 710

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Foundations of Constructive Probability Theory

Foundations of Constructive Probability Theory PDF Author: Yuen-Kwok Chan
Publisher: Cambridge University Press
ISBN: 1108835430
Category : Mathematics
Languages : en
Pages : 627

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Book Description
This book provides a systematic and general theory of probability within the framework of constructive mathematics.

Dissertation Abstracts International

Dissertation Abstracts International PDF Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 942

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