About The Characteristic Function Of The Set

Download About The Characteristic Function Of The Set full books in PDF, epub, and Kindle. Read online About The Characteristic Function Of The Set ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Multivariate Characteristic and Correlation Functions

Author : Zoltán Sasvári
Publisher : Walter de Gruyter
ISBN 13 : 3110223996
Total Pages : 376 pages
Book Rating : 4.1/5 (12 download)

DOWNLOAD NOW!

Book Synopsis Multivariate Characteristic and Correlation Functions by : Zoltán Sasvári

Download or read book Multivariate Characteristic and Correlation Functions written by Zoltán Sasvári and published by Walter de Gruyter. This book was released on 2013-03-22 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a certain sense characteristic functions and correlation functions are the same, the common underlying concept is positive definiteness. Many results in probability theory, mathematical statistics and stochastic processes can be derived by using these functions. While there are books on characteristic functions of one variable, books devoting some sections to the multivariate case, and books treating the general case of locally compact groups, interestingly there is no book devoted entirely to the multidimensional case which is extremely important for applications. This book is intended to fill this gap at least partially. It makes the basic concepts and results on multivariate characteristic and correlation functions easily accessible to both students and researchers in a comprehensive manner. The first chapter presents basic results and should be read carefully since it is essential for the understanding of the subsequent chapters. The second chapter is devoted to correlation functions, their applications to stationary processes and some connections to harmonic analysis. In Chapter 3 we deal with several special properties, Chapter 4 is devoted to the extension problem while Chapter 5 contains a few applications. A relatively large appendix comprises topics like infinite products, functional equations, special functions or compact operators.

Measures, Integrals and Martingales

Author : René L. Schilling
Publisher : Cambridge University Press
ISBN 13 : 9780521850155
Total Pages : 404 pages
Book Rating : 4.8/5 (51 download)

DOWNLOAD NOW!

Book Synopsis Measures, Integrals and Martingales by : René L. Schilling

Download or read book Measures, Integrals and Martingales written by René L. Schilling and published by Cambridge University Press. This book was released on 2005-11-10 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2005, introduces measure and integration theory as it is needed in many parts of analysis and probability.

A Course in Probability Theory

Author : Kai Lai Chung
Publisher : Academic Press
ISBN 13 : 0080570402
Total Pages : 381 pages
Book Rating : 4.0/5 (85 download)

DOWNLOAD NOW!

Book Synopsis A Course in Probability Theory by : Kai Lai Chung

Download or read book A Course in Probability Theory written by Kai Lai Chung and published by Academic Press. This book was released on 2014-06-28 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains about 500 exercises consisting mostly of special cases and examples, second thoughts and alternative arguments, natural extensions, and some novel departures. With a few obvious exceptions they are neither profound nor trivial, and hints and comments are appended to many of them. If they tend to be somewhat inbred, at least they are relevant to the text and should help in its digestion. As a bold venture I have marked a few of them with a * to indicate a "must", although no rigid standard of selection has been used. Some of these are needed in the book, but in any case the reader's study of the text will be more complete after he has tried at least those problems.

Probability Space

Author : Nancy Kress
Publisher : Macmillan
ISBN 13 : 9780765345141
Total Pages : 372 pages
Book Rating : 4.3/5 (451 download)

DOWNLOAD NOW!

Book Synopsis Probability Space by : Nancy Kress

Download or read book Probability Space written by Nancy Kress and published by Macmillan. This book was released on 2004-01-05 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nancy Kress cemented her reputation in SF with the publication of her multiple-award–winning novella, “Beggars in Spain,” which became the basis for her extremely successful Beggars Trilogy (comprising Beggars in Spain, Beggars and Choosers, and Beggars Ride). And now she brings us Probability Space, the conclusion of the trilogy that began with Probability Moon and then Probability Sun, which is centered on the same world as Kress’s Nebula Award-winning novelette, “Flowers of Aulit Prison.” The Probability Trilogy has already been widely recognized as the next great work by this important SF writer. In Probability Space, humanity’s war with the alien Fallers continues, and it is a war we are losing. Our implacable foes ignore all attempts at communication, and they take no prisoners. Our only hope lies with an unlikely coalition: Major Lyle Kaufman, retired warrior; Marbet Grant, the Sensitive who’s involved with Kaufman; Amanda, a very confused fourteen-year-old girl; and Magdalena, one of the biggest power brokers in all of human space. As the action moves from Earth to Mars to the farthest reaches of known space, with civil unrest back home and alien war in deep space, four humans--armed with little more than an unproven theory--try to enter the Fallers’ home star system. It’s a desperate gamble, and the fate of the entire universe may hang in the balance.

Functions of Real Variables

Author : Edgar Jerome Townsend
Publisher :
ISBN 13 :
Total Pages : 430 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Functions of Real Variables by : Edgar Jerome Townsend

Download or read book Functions of Real Variables written by Edgar Jerome Townsend and published by . This book was released on 1928 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Riesz Spaces

Author : W.A.J. Luxemburg
Publisher : Elsevier
ISBN 13 : 008095183X
Total Pages : 527 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis Riesz Spaces by : W.A.J. Luxemburg

Download or read book Riesz Spaces written by W.A.J. Luxemburg and published by Elsevier. This book was released on 2000-04-01 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Riesz Spaces

Linear Models in the Mathematics of Uncertainty

Author : Carol Jones
Publisher : Springer
ISBN 13 : 3642352243
Total Pages : 273 pages
Book Rating : 4.6/5 (423 download)

DOWNLOAD NOW!

Book Synopsis Linear Models in the Mathematics of Uncertainty by : Carol Jones

Download or read book Linear Models in the Mathematics of Uncertainty written by Carol Jones and published by Springer. This book was released on 2013-02-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present new mathematical techniques for modeling global issues. These mathematical techniques are used to determine linear equations between a dependent variable and one or more independent variables in cases where standard techniques such as linear regression are not suitable. In this book, we examine cases where the number of data points is small (effects of nuclear warfare), where the experiment is not repeatable (the breakup of the former Soviet Union), and where the data is derived from expert opinion (how conservative is a political party). In all these cases the data is difficult to measure and an assumption of randomness and/or statistical validity is questionable. We apply our methods to real world issues in international relations such as nuclear deterrence, smart power, and cooperative threat reduction. We next apply our methods to issues in comparative politics such as successful democratization, quality of life, economic freedom, political stability, and failed states. Finally, issues involving deaf and hard of hearing children are explored.

Practical Design Verification

Author : Dhiraj K. Pradhan
Publisher : Cambridge University Press
ISBN 13 : 1139478303
Total Pages : 277 pages
Book Rating : 4.1/5 (394 download)

DOWNLOAD NOW!

Book Synopsis Practical Design Verification by : Dhiraj K. Pradhan

Download or read book Practical Design Verification written by Dhiraj K. Pradhan and published by Cambridge University Press. This book was released on 2009-06-11 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improve design efficiency and reduce costs with this practical guide to formal and simulation-based functional verification. Giving you a theoretical and practical understanding of the key issues involved, expert authors including Wayne Wolf and Dan Gajski explain both formal techniques (model checking, equivalence checking) and simulation-based techniques (coverage metrics, test generation). You get insights into practical issues including hardware verification languages (HVLs) and system-level debugging. The foundations of formal and simulation-based techniques are covered too, as are more recent research advances including transaction-level modeling and assertion-based verification, plus the theoretical underpinnings of verification, including the use of decision diagrams and Boolean satisfiability (SAT).

Applying Fuzzy Logic for the Digital Economy and Society

Author : Andreas Meier
Publisher : Springer
ISBN 13 : 3030033686
Total Pages : 217 pages
Book Rating : 4.0/5 (3 download)

DOWNLOAD NOW!

Book Synopsis Applying Fuzzy Logic for the Digital Economy and Society by : Andreas Meier

Download or read book Applying Fuzzy Logic for the Digital Economy and Society written by Andreas Meier and published by Springer. This book was released on 2019-02-28 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book presents the state-of-the-art of applying fuzzy logic to managerial decision-making processes in areas such as fuzzy-based portfolio management, recommender systems, performance assessment and risk analysis, among others. Presenting the latest research, with a strong focus on applications and case studies, it is a valuable resource for researchers, practitioners, project leaders and managers wanting to apply or improve their fuzzy-based skills.

Multicriteria Decision-Making Under Conditions of Uncertainty

Author : Petr Ekel
Publisher : John Wiley & Sons
ISBN 13 : 1119534917
Total Pages : 362 pages
Book Rating : 4.1/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Multicriteria Decision-Making Under Conditions of Uncertainty by : Petr Ekel

Download or read book Multicriteria Decision-Making Under Conditions of Uncertainty written by Petr Ekel and published by John Wiley & Sons. This book was released on 2019-11-05 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the various models and methods to multicriteria decision-making in conditions of uncertainty presented in a systematic approach Multicriteria Decision-Making under Conditions of Uncertainty presents approaches that help to answer the fundamental questions at the center of all decision-making problems: "What to do?" and "How to do it?" The book explores methods of representing and handling diverse manifestations of the uncertainty factor and a multicriteria nature of problems that can arise in system design, planning, operation, and control. The authors—noted experts on the topic—and their book covers essential questions, including notions and fundamental concepts of fuzzy sets, models and methods of multiobjective as well as multiattribute decision-making, the classical approach to dealing with uncertainty of information and its generalization for analyzing multicriteria problems in condition of uncertainty, and more. This comprehensive book contains information on "harmonious solutions" in multiobjective problem-solving (analyzing “i>X, F> models), construction and analysis of “i>X, R/i” models, results aimed at generating robust solutions in analyzing multicriteria problems under uncertainty, and more. In addition, the book includes illustrative examples of various applications, including real-world case studies related to the authors’ various industrial projects. This important resource: Explains the design and processing aspect of fuzzy sets, including construction of membership functions, fuzzy numbers, fuzzy relations, aggregation operations, and fuzzy sets transformations Describes models of multiobjective decision-making (“i>X. M/i” models), their analysis on the basis of using the Bellman-Zadeh approach to decision-making in a fuzzy environment, and their diverse applications, including multicriteria allocation of resources Investigates models of multiattribute decision-making (“i>X, R/i” models) and their analysis on the basis of the construction and processing of fuzzy preference relations as well as demonstrating their applications to solve diverse classes of multiattribute problems Explores notions of payoff matrices and fuzzy-set-based generalization and modification of the classic approach to decision-making under conditions of uncertainty to generate robust solutions in analyzing multicriteria problems Written for students, researchers and practitioners in disciplines in which decision-making is of paramount relevance, Multicriteria Decision-Making under Conditions of Uncertainty presents a systematic and current approach that encompasses a range of models and methods as well as new applications.

Descriptive Set Theory and Forcing

Author : Arnold W. Miller
Publisher : Cambridge University Press
ISBN 13 : 1316739317
Total Pages : 136 pages
Book Rating : 4.3/5 (167 download)

DOWNLOAD NOW!

Book Synopsis Descriptive Set Theory and Forcing by : Arnold W. Miller

Download or read book Descriptive Set Theory and Forcing written by Arnold W. Miller and published by Cambridge University Press. This book was released on 2017-05-18 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fourth publication in the Lecture Notes in Logic series, Miller develops the necessary features of the theory of descriptive sets in order to present a new proof of Louveau's separation theorem for analytic sets. While some background in mathematical logic and set theory is assumed, the material is based on a graduate course given by the author at the University of Wisconsin, Madison, and is thus accessible to students and researchers alike in these areas, as well as in mathematical analysis.

Codes From Difference Sets

Author : Cunsheng Ding
Publisher : World Scientific
ISBN 13 : 981461937X
Total Pages : 354 pages
Book Rating : 4.8/5 (146 download)

DOWNLOAD NOW!

Book Synopsis Codes From Difference Sets by : Cunsheng Ding

Download or read book Codes From Difference Sets written by Cunsheng Ding and published by World Scientific. This book was released on 2014-08-08 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference sets. To be self-contained, this monograph covers necessary mathematical foundations and the basics of coding theory. It also contains tables of best BCH codes and best cyclic codes over GF(2) and GF(3) up to length 125 and 79, respectively. This repository of tables can be used to benchmark newly constructed cyclic codes. This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications.

Applications of Zero-Suppressed Decision Diagrams

Author : Jon T. Butler
Publisher : Springer Nature
ISBN 13 : 3031798708
Total Pages : 106 pages
Book Rating : 4.0/5 (317 download)

DOWNLOAD NOW!

Book Synopsis Applications of Zero-Suppressed Decision Diagrams by : Jon T. Butler

Download or read book Applications of Zero-Suppressed Decision Diagrams written by Jon T. Butler and published by Springer Nature. This book was released on 2022-05-31 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: A zero-suppressed decision diagram (ZDD) is a data structure to represent objects that typically contain many zeros. Applications include combinatorial problems, such as graphs, circuits, faults, and data mining. This book consists of four chapters on the applications of ZDDs. The first chapter by Alan Mishchenko introduces the ZDD. It compares ZDDs to BDDs, showing why a more compact representation is usually achieved in a ZDD. The focus is on sets of subsets and on sum-of-products (SOP) expressions. Methods to generate all the prime implicants (PIs), and to generate irredundant SOPs are shown. A list of papers on the applications of ZDDs is also presented. In the appendix, ZDD procedures in the CUDD package are described. The second chapter by Tsutomu Sasao shows methods to generate PIs and irredundant SOPs using a divide and conquer method. This chapter helps the reader to understand the methods presented in the first chapter. The third chapter by Shin-Ichi Minato introduces the ""frontier-based"" method that efficiently enumerates certain subsets of a graph. The final chapter by Shinobu Nagayama shows a method to match strings of characters. This is important in routers, for example, where one must match the address information of an internet packet to the proprer output port. It shows that ZDDs are more compact than BDDs in solving this important problem. Each chapter contains exercises, and the appendix contains their solutions. Table of Contents: Preface / Acknowledgments / Introduction to Zero-Suppressed Decision Diagrams / Efficient Generation of Prime Implicants and Irredundant Sum-of-Products Expressions / The Power of Enumeration--BDD/ZDD-Based Algorithms for Tackling Combinatorial Explosion / Regular Expression Matching Using Zero-Suppressed Decision Diagrams / Authors' and Editors' Biographies / Index

Contributions to Probability

Author : J. Gani
Publisher : Academic Press
ISBN 13 : 1483262561
Total Pages : 335 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!

Book Synopsis Contributions to Probability by : J. Gani

Download or read book Contributions to Probability written by J. Gani and published by Academic Press. This book was released on 2014-05-10 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributions to Probability: A Collection of Papers Dedicated to Eugene Lukacs is a collection of papers that reflect Professor Eugene Lukacs' broad range of research interests. This text celebrates the 75th birthday of Eugene Lukacs, mathematician, teacher, and research worker in probability and mathematical statistics. This book is organized into two parts encompassing 23 chapters. Part I consists of papers in probability theory, limit theorems, and stochastic processes. This part also deals with the continuation and arithmetic of distribution functions, the arc sine law, Fourier transform methods, and nondifferentiality of the Wiener sheet. Part II includes papers in information and statistical theories. This book will prove useful to statisticians, mathematicians, and advance mathematics students.

Essentials of Stochastic Processes

Author : Kiyosi Itō
Publisher : American Mathematical Soc.
ISBN 13 : 9780821838983
Total Pages : 192 pages
Book Rating : 4.8/5 (389 download)

DOWNLOAD NOW!

Book Synopsis Essentials of Stochastic Processes by : Kiyosi Itō

Download or read book Essentials of Stochastic Processes written by Kiyosi Itō and published by American Mathematical Soc.. This book was released on 2006 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an English translation of Kiyosi Ito's monograph published in Japanese in 1957. It gives a unified and comprehensive account of additive processes (or Levy processes), stationary processes, and Markov processes, which constitute the three most important classes of stochastic processes. Written by one of the leading experts in the field, this volume presents to the reader lucid explanations of the fundamental concepts and basic results in each of these three major areasof the theory of stochastic processes. With the requirements limited to an introductory graduate course on analysis (especially measure theory) and basic probability theory, this book is an excellent text for any graduate course on stochastic processes. Kiyosi Ito is famous throughout the world forhis work on stochastic integrals (including the Ito formula), but he has made substantial contributions to other areas of probability theory as well, such as additive processes, stationary processes, and Markov processes (especially diffusion processes), which are topics covered in this book. For his contributions and achievements, he has received, among others, the Wolf Prize, the Japan Academy Prize, and the Kyoto Prize.

Fuzzy Sets and Interactive Multiobjective Optimization

Author : Masatoshi Sakawa
Publisher : Springer Science & Business Media
ISBN 13 : 1489916334
Total Pages : 319 pages
Book Rating : 4.4/5 (899 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Sets and Interactive Multiobjective Optimization by : Masatoshi Sakawa

Download or read book Fuzzy Sets and Interactive Multiobjective Optimization written by Masatoshi Sakawa and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main characteristics of the real-world decision-making problems facing humans today are multidimensional and have multiple objectives including eco nomic, environmental, social, and technical ones. Hence, it seems natural that the consideration of many objectives in the actual decision-making process re quires multiobjective approaches rather than single-objective. One ofthe major systems-analytic multiobjective approaches to decision-making under constraints is multiobjective optimization as a generalization of traditional single-objective optimization. Although multiobjective optimization problems differ from single objective optimization problems only in the plurality of objective functions, it is significant to realize that multiple objectives are often noncom mensurable and conflict with each other in multiobjective optimization problems. With this ob servation, in multiobjective optimization, the notion of Pareto optimality or effi ciency has been introduced instead of the optimality concept for single-objective optimization. However, decisions with Pareto optimality or efficiency are not uniquely determined; the final decision must be selected from among the set of Pareto optimal or efficient solutions. Therefore, the question is, how does one find the preferred point as a compromise or satisficing solution with rational pro cedure? This is the starting point of multiobjective optimization. To be more specific, the aim is to determine how one derives a compromise or satisficing so lution of a decision maker (DM), which well represents the subjective judgments, from a Pareto optimal or an efficient solution set.

Natural Language Semantics

Author : Brendan S. Gillon
Publisher : MIT Press
ISBN 13 : 0262039206
Total Pages : 731 pages
Book Rating : 4.2/5 (62 download)

DOWNLOAD NOW!

Book Synopsis Natural Language Semantics by : Brendan S. Gillon

Download or read book Natural Language Semantics written by Brendan S. Gillon and published by MIT Press. This book was released on 2019-03-12 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to natural language semantics that offers an overview of the empirical domain and an explanation of the mathematical concepts that underpin the discipline. This textbook offers a comprehensive introduction to the fundamentals of those approaches to natural language semantics that use the insights of logic. Many other texts on the subject focus on presenting a particular theory of natural language semantics. This text instead offers an overview of the empirical domain (drawn largely from standard descriptive grammars of English) as well as the mathematical tools that are applied to it. Readers are shown where the concepts of logic apply, where they fail to apply, and where they might apply, if suitably adjusted. The presentation of logic is completely self-contained, with concepts of logic used in the book presented in all the necessary detail. This includes propositional logic, first order predicate logic, generalized quantifier theory, and the Lambek and Lambda calculi. The chapters on logic are paired with chapters on English grammar. For example, the chapter on propositional logic is paired with a chapter on the grammar of coordination and subordination of English clauses; the chapter on predicate logic is paired with a chapter on the grammar of simple, independent English clauses; and so on. The book includes more than five hundred exercises, not only for the mathematical concepts introduced, but also for their application to the analysis of natural language. The latter exercises include some aimed at helping the reader to understand how to formulate and test hypotheses.