Conditional Measures And Applications
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Conditional Measures And Applications
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Author : M.M. Rao
language : en
Publisher: CRC Press
Release Date : 2005-05-25
Conditional Measures And Applications written by M.M. Rao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-25 with Mathematics categories.
In response to unanswered difficulties in the generalized case of conditional expectation and to treat the topic in a well-deservedly thorough manner, M.M. Rao gave us the highly successful first edition of Conditional Measures and Applications. Until this groundbreaking work, conditional probability was relegated to scattered journal articles and
Vector And Operator Valued Measures And Applications
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Author : Don H. Tucker
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Vector And Operator Valued Measures And Applications written by Don H. Tucker and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Vector and Operator Valued Measures and Applications is a collection of papers presented at the Symposium on Vector and Operator Valued Measures and Applications held in Alta, Utah, on August 7-12, 1972. The symposium provided a forum for discussing vector and operator valued measures and their applications to various areas such as stochastic integration, electrical engineering, control theory, and scattering theory. Comprised of 37 chapters, this volume begins by presenting two remarks related to the result due to Kolmogorov: the first is a theorem holding for nonnegative definite functions from T X T to C (where T is an arbitrary index set), and the second applies to separable Hausdorff spaces T, continuous nonnegative definite functions ? from T X T to C, and separable Hilbert spaces H. The reader is then introduced to the extremal structure of the range of a controlled vector measure ? with values in a Hausdorff locally convex space X over the field of reals; how the theory of vector measures is connected with the theory of compact and weakly compact mappings on certain function spaces; and Daniell and Daniell-Bochner type integrals. Subsequent chapters focus on the disintegration of measures and lifting; products of spectral measures; and mean convergence of martingales of Pettis integrable functions. This book should be of considerable use to workers in the field of mathematics.
Fundamentals Of Uncertainty Calculi With Applications To Fuzzy Inference
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Author : Michel Grabisch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Fundamentals Of Uncertainty Calculi With Applications To Fuzzy Inference written by Michel Grabisch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Business & Economics categories.
With the vision that machines can be rendered smarter, we have witnessed for more than a decade tremendous engineering efforts to implement intelligent sys tems. These attempts involve emulating human reasoning, and researchers have tried to model such reasoning from various points of view. But we know precious little about human reasoning processes, learning mechanisms and the like, and in particular about reasoning with limited, imprecise knowledge. In a sense, intelligent systems are machines which use the most general form of human knowledge together with human reasoning capability to reach decisions. Thus the general problem of reasoning with knowledge is the core of design methodology. The attempt to use human knowledge in its most natural sense, that is, through linguistic descriptions, is novel and controversial. The novelty lies in the recognition of a new type of un certainty, namely fuzziness in natural language, and the controversality lies in the mathematical modeling process. As R. Bellman [7] once said, decision making under uncertainty is one of the attributes of human intelligence. When uncertainty is understood as the impossi bility to predict occurrences of events, the context is familiar to statisticians. As such, efforts to use probability theory as an essential tool for building intelligent systems have been pursued (Pearl [203], Neapolitan [182)). The methodology seems alright if the uncertain knowledge in a given problem can be modeled as probability measures.
Measure Theory
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Author : Vladimir I. Bogachev
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-15
Measure Theory written by Vladimir I. Bogachev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-15 with Mathematics categories.
This book giving an exposition of the foundations of modern measure theory offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course, and, finally, more specialized topics partly covered by more than 850 exercises with detailed hints and references. Bibliographical comments and an extensive bibliography with 2000 works covering more than a century are provided.
Global Optimization Using Interval Analysis
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Author : Eldon Hansen
language : en
Publisher: CRC Press
Release Date : 2003-12-19
Global Optimization Using Interval Analysis written by Eldon Hansen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-19 with Mathematics categories.
Employing a closed set-theoretic foundation for interval computations, Global Optimization Using Interval Analysis simplifies algorithm construction and increases generality of interval arithmetic. This Second Edition contains an up-to-date discussion of interval methods for solving systems of nonlinear equations and global optimization problems. It expands and improves various aspects of its forerunner and features significant new discussions, such as those on the use of consistency methods to enhance algorithm performance. Provided algorithms are guaranteed to find and bound all solutions to these problems despite bounded errors in data, in approximations, and from use of rounded arithmetic.
Coding Theory And Cryptography
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Author : D.C. Hankerson
language : en
Publisher: CRC Press
Release Date : 2000-08-04
Coding Theory And Cryptography written by D.C. Hankerson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-04 with Computers categories.
Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, encoding, and decoding of specific code families in an "easy-to-use" manner appropriate for students with only a basic background in mathematics offerin
Inequalities For Finite Difference Equations
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Author : B.G. Pachpatte
language : en
Publisher: CRC Press
Release Date : 2001-12-13
Inequalities For Finite Difference Equations written by B.G. Pachpatte and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-13 with Mathematics categories.
"A treatise on finite difference ineuqalities that have important applications to theories of various classes of finite difference and sum-difference equations, including several linear and nonlinear finite difference inequalities appearing for the first time in book form."
A Primer Of Algebraic Geometry
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Author : Huishi Li
language : en
Publisher: CRC Press
Release Date : 2017-12-19
A Primer Of Algebraic Geometry written by Huishi Li and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.
"Presents the structure of algebras appearing in representation theory of groups and algebras with general ring theoretic methods related to representation theory. Covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, projective algebraic sets. Groebner basis, dimension of algebraic sets, local theory, curves and elliptic curves, and more."
Cogalois Theory
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Author : Toma Albu
language : en
Publisher: CRC Press
Release Date : 2002-10-16
Cogalois Theory written by Toma Albu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-16 with Mathematics categories.
This volume offers a systematic, comprehensive investigation of field extensions, finite or not, that possess a Cogalois correspondence. The subject is somewhat dual to the very classical Galois Theory dealing with field extensions possessing a Galois correspondence. Solidly backed by over 250 exercises and an extensive bibliography, this book presents a compact and complete review of basic field theory, considers the Vahlen-Capelli Criterion, investigates the radical, Kneser, strongly Kneser, Cogalois, and G-Cogalois extensions, discusses field extensions that are simultaneously Galois and G-Cogalois, and presents nice applications to elementary field arithmetic.
Qualitative Theory Of Dynamical Systems
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Author : Anthony Michel
language : en
Publisher: CRC Press
Release Date : 2001-01-04
Qualitative Theory Of Dynamical Systems written by Anthony Michel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-04 with Mathematics categories.
"Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations, inequalities, or inclusions. Applies the general theory to specific classes of equations. Presents new and expanded material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics."