On Nonsymmetric Topological and Probabilistic Structures

On Nonsymmetric Topological and Probabilistic Structures
Title On Nonsymmetric Topological and Probabilistic Structures PDF eBook
Author Yeol Je Cho
Publisher Nova Publishers
Pages 230
Release 2006
Genre Mathematics
ISBN 9781594549175

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In this book, generally speaking, some properties of bitopological spaces generated by certain non-symmetric functions are studied. These functions, called "probabilistic quasi-pseudo-metrics" and "fuzzy quasi-pseudo-metrics", are generalisations of classical quasi-pseudo metrics. For the sake of completeness as well as for convenience and easy comparison, most of the introductory paragraphs are mainly devoted to fundamental notions and results from the classical -- deterministic or symmetric -- theory.

Applied topology: recent progress for computer science, fuzzy mathematics and economics.

Applied topology: recent progress for computer science, fuzzy mathematics and economics.
Title Applied topology: recent progress for computer science, fuzzy mathematics and economics. PDF eBook
Author Macario Vives, Sergio
Publisher Publicacions de la Universitat Jaume I
Pages 184
Release 2012-10-22
Genre Mathematics
ISBN 8480218800

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En las últimas décadas, la Topología se ha revelado como una poderosa herramienta para acometer diferentes problemas relacionados con un amplio espectro de ciencias aplicadas más allá de las matemáticas, como Economía, Inteligencia Artificial, Ciencias de la Computación o Sistemas Dinámicos. El presente volumen recoge las ponencias del Workshop in Applied Topology WiAT¿12, celebrado en junio de 2012 en la Universitat Jaume I, en el que participaron diferentes grupos de investigación del área de la Topología General y sus Aplicaciones.

Foundations of Measurement: Geometrical, threshold, and probabilistic representations

Foundations of Measurement: Geometrical, threshold, and probabilistic representations
Title Foundations of Measurement: Geometrical, threshold, and probabilistic representations PDF eBook
Author Patrick Suppes
Publisher Courier Corporation
Pages 514
Release 2007-01-01
Genre Mathematics
ISBN 0486453154

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All of the sciences―physical, biological, and social―have a need for quantitative measurement. This influential series, Foundations of Measurement, established the formal foundations for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence. Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance.

American Book Publishing Record

American Book Publishing Record
Title American Book Publishing Record PDF eBook
Author
Publisher
Pages 1206
Release 2006
Genre American literature
ISBN

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Structural Aspects in the Theory of Probability

Structural Aspects in the Theory of Probability
Title Structural Aspects in the Theory of Probability PDF eBook
Author Herbert Heyer
Publisher World Scientific
Pages 399
Release 2004
Genre Mathematics
ISBN 9812562281

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This book focuses on the algebraic-topological aspects of probabilitytheory, leading to a wider and deeper understanding of basic theorems, such as those on the structure of continuous convolution semigroupsand the corresponding processes with independent increments

Handbook of the History of General Topology

Handbook of the History of General Topology
Title Handbook of the History of General Topology PDF eBook
Author C.E. Aull
Publisher Springer Science & Business Media
Pages 418
Release 2013-04-18
Genre Mathematics
ISBN 9401704708

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This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.

The Probabilistic Method

The Probabilistic Method
Title The Probabilistic Method PDF eBook
Author Noga Alon
Publisher John Wiley & Sons
Pages 396
Release 2015-11-02
Genre Mathematics
ISBN 1119062071

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Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.” - MAA Reviews Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics. Emphasizing the methodology and techniques that enable problem-solving, The Probabilistic Method, Fourth Edition begins with a description of tools applied to probabilistic arguments, including basic techniques that use expectation and variance as well as the more advanced applications of martingales and correlation inequalities. The authors explore where probabilistic techniques have been applied successfully and also examine topical coverage such as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Written by two well-known authorities in the field, the Fourth Edition features: Additional exercises throughout with hints and solutions to select problems in an appendix to help readers obtain a deeper understanding of the best methods and techniques New coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits Updated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results The Probabilistic Method, Fourth Edition is an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The Fourth Edition is also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory. Noga Alon, PhD, is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal Random Structures and Algorithms, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize. Joel H. Spencer, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal Random Structures and Algorithms and is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley.