Applied Topology Recent Progress For Computer Science Fuzzy Mathematics And Economics

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

Author : Macario Vives, Sergio
Publisher : Publicacions de la Universitat Jaume I
ISBN 13 : 8480218800
Total Pages : 184 pages
Book Rating : 4.4/5 (82 download)

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Book Synopsis Applied topology: recent progress for computer science, fuzzy mathematics and economics. by : Macario Vives, Sergio

Download or read book Applied topology: recent progress for computer science, fuzzy mathematics and economics. written by Macario Vives, Sergio and published by Publicacions de la Universitat Jaume I. This book was released on 2012-10-22 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Topology

Author : Valentín Gregori Gregori
Publisher :
ISBN 13 : 9788483635650
Total Pages : 167 pages
Book Rating : 4.6/5 (356 download)

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Book Synopsis Applied Topology by : Valentín Gregori Gregori

Download or read book Applied Topology written by Valentín Gregori Gregori and published by . This book was released on 2010 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Topology

Author : Sergio Macario
Publisher :
ISBN 13 : 9788480218740
Total Pages : 198 pages
Book Rating : 4.2/5 (187 download)

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Book Synopsis Applied Topology by : Sergio Macario

Download or read book Applied Topology written by Sergio Macario and published by . This book was released on 2012 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Progress for Topology, Computer Science, Fuzzy Mathematics and Economics

Author :
Publisher :
ISBN 13 : 9788498608342
Total Pages : 139 pages
Book Rating : 4.6/5 (83 download)

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Book Synopsis Recent Progress for Topology, Computer Science, Fuzzy Mathematics and Economics by :

Download or read book Recent Progress for Topology, Computer Science, Fuzzy Mathematics and Economics written by and published by . This book was released on 2013 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractal Dimension for Fractal Structures

Author : Manuel Fernández-Martínez
Publisher : Springer
ISBN 13 : 3030166457
Total Pages : 204 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Fractal Dimension for Fractal Structures by : Manuel Fernández-Martínez

Download or read book Fractal Dimension for Fractal Structures written by Manuel Fernández-Martínez and published by Springer. This book was released on 2019-04-23 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension including non-Euclidean contexts. In addition, the book applies these fractal dimensions to explore long-memory in financial markets. In particular, novel results linking both fractal dimension and the Hurst exponent are provided. As such, the book provides a number of algorithms for properly calculating the self-similarity exponent of a wide range of processes, including (fractional) Brownian motion and Lévy stable processes. The algorithms also make it possible to analyse long-memory in real stocks and international indexes. This book is addressed to those researchers interested in fractal geometry, self-similarity patterns, and computational applications involving fractal dimension and Hurst exponent.

Advances in Topology and Their Interdisciplinary Applications

Author : Santanu Acharjee
Publisher : Springer Nature
ISBN 13 : 9819901510
Total Pages : 264 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Advances in Topology and Their Interdisciplinary Applications by : Santanu Acharjee

Download or read book Advances in Topology and Their Interdisciplinary Applications written by Santanu Acharjee and published by Springer Nature. This book was released on 2023-05-09 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected chapters on recent research in topology. It bridges the gap between recent trends of topological theories and their applications in areas like social sciences, natural sciences, soft computing, economics, theoretical chemistry, cryptography, pattern recognitions and granular computing. There are 14 chapters, including two chapters on mathematical economics from the perspective of topology. The book discusses topics on function spaces, relator space, preorder, quasi-uniformities, bitopological dynamical systems, b-metric spaces and related fixed point theory. This book is useful to researchers, experts and scientists in studying the cutting-edge research in topology and related areas and helps them applying topology in solving real-life problems the society and science are facing these days.

Separation in Point-Free Topology

Author : Jorge Picado
Publisher : Springer Nature
ISBN 13 : 3030534790
Total Pages : 296 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Separation in Point-Free Topology by : Jorge Picado

Download or read book Separation in Point-Free Topology written by Jorge Picado and published by Springer Nature. This book was released on 2021-02-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first systematic treatment of this area so far scattered in a vast number of articles. As in classical topology, concrete problems require restricting the (generalized point-free) spaces by various conditions playing the roles of classical separation axioms. These are typically formulated in the language of points; but in the point-free context one has either suitable translations, parallels, or satisfactory replacements. The interrelations of separation type conditions, their merits, advantages and disadvantages, and consequences are discussed. Highlights of the book include a treatment of the merits and consequences of subfitness, various approaches to the Hausdorff's axiom, and normality type axioms. Global treatment of the separation conditions put them in a new perspective, and, a.o., gave some of them unexpected importance. The text contains a lot of quite recent results; the reader will see the directions the area is taking, and may find inspiration for her/his further work. The book will be of use for researchers already active in the area, but also for those interested in this growing field (sometimes even penetrating into some parts of theoretical computer science), for graduate and PhD students, and others. For the reader's convenience, the text is supplemented with an Appendix containing necessary background on posets, frames and locales.

Fuzzy Topology

Author : Ying-ming Liu
Publisher : World Scientific
ISBN 13 : 9814518204
Total Pages : 365 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Fuzzy Topology by : Ying-ming Liu

Download or read book Fuzzy Topology written by Ying-ming Liu and published by World Scientific. This book was released on 1998-02-28 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background — processing fuzziness, and locale theory, proposed from the angle of pure mathematics by the great French mathematician Ehresmann, comprise the two most active aspects of topology on lattice, which affect each other.This book is the first monograph to systematically reflect the up-to-date state of fuzzy topology. It emphasizes the so-called “pointed approach” and the effects of stratification structure appearing in fuzzy sets.The monograph can serve as a reference book for mathematicians, researchers, and graduate students working in this branch of mathematics. After an appropriate rearrangements of the chapters and sections, it can also be used as a text for undergraduates.

New Developments in Topology

Author : John Frank Adams
Publisher : Cambridge University Press
ISBN 13 : 0521203546
Total Pages : 137 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis New Developments in Topology by : John Frank Adams

Download or read book New Developments in Topology written by John Frank Adams and published by Cambridge University Press. This book was released on 1974-02-28 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eleven of the fourteen invited speakers at a symposium held by the Oxford Mathematical Institute in June 1972 have revised their contributions and submitted them for publication in this volume. The present papers do not necessarily closely correspond with the original talks, as it was the intention of the volume editor to make this book of mathematical rather than historical interest. The contributions will be of value to workers in topology in universities and polytechnics.

Advances in Applied and Computational Topology

Author : American Mathematical Society. Short Course on Computational Topology
Publisher : American Mathematical Soc.
ISBN 13 : 0821890050
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Advances in Applied and Computational Topology by : American Mathematical Society. Short Course on Computational Topology

Download or read book Advances in Applied and Computational Topology written by American Mathematical Society. Short Course on Computational Topology and published by American Mathematical Soc.. This book was released on with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Research on Advances and Applications of Fuzzy Sets and Logic

Author : Broumi, Said
Publisher : IGI Global
ISBN 13 : 179987981X
Total Pages : 944 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Advances and Applications of Fuzzy Sets and Logic by : Broumi, Said

Download or read book Handbook of Research on Advances and Applications of Fuzzy Sets and Logic written by Broumi, Said and published by IGI Global. This book was released on 2022-03-04 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy logic, which is based on the concept of fuzzy set, has enabled scientists to create models under conditions of imprecision, vagueness, or both at once. As a result, it has now found many important applications in almost all sectors of human activity, becoming a complementary feature and supporter of probability theory, which is suitable for modelling situations of uncertainty derived from randomness. Fuzzy mathematics has also significantly developed at the theoretical level, providing important insights into branches of traditional mathematics like algebra, analysis, geometry, topology, and more. With such widespread applications, fuzzy sets and logic are an important area of focus in mathematics. The Handbook of Research on Advances and Applications of Fuzzy Sets and Logic studies recent theoretical advances of fuzzy sets and numbers, fuzzy systems, fuzzy logic and their generalizations, extensions, and more. This book also explores the applications of fuzzy sets and logic applied to science, technology, and everyday life to further provide research on the subject. This book is ideal for mathematicians, physicists, computer specialists, engineers, practitioners, researchers, academicians, and students who are looking to learn more about fuzzy sets, fuzzy logic, and their applications.

Recent Developments in Algebraic Topology

Author : Alejandro Adem
Publisher : American Mathematical Soc.
ISBN 13 : 9780821857373
Total Pages : 212 pages
Book Rating : 4.8/5 (573 download)

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Book Synopsis Recent Developments in Algebraic Topology by : Alejandro Adem

Download or read book Recent Developments in Algebraic Topology written by Alejandro Adem and published by American Mathematical Soc.. This book was released on with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an excellent illustration of the versatility of Algebraic Topology interacting with other areas in Mathematics and Physics. Topics discussed in this volume range from classical Differential Topology and Homotopy Theory (Kervaire invariant one problem) to more recent lines of research such as Topological Quantum Field Theory (string theory). Likewise, alternative viewpoints on classical problems in Global Analysis and Dynamical Systems are developed (a spectral sequence approach to normal form theory). This collection of papers is based on talks at the conference on the occasion of Sam Gitler's 70th birthday (December, 2003). The variety of topics covered in this book reflects the many areas where Sam Gitler's contributions have had an impact.

New Trends in Applied Analysis and Computational Mathematics

Author : Susanta Kumar Paikray
Publisher : Springer Nature
ISBN 13 : 9811614024
Total Pages : 322 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis New Trends in Applied Analysis and Computational Mathematics by : Susanta Kumar Paikray

Download or read book New Trends in Applied Analysis and Computational Mathematics written by Susanta Kumar Paikray and published by Springer Nature. This book was released on 2021-06-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains original research papers as the Proceedings of the International Conference on Advances in Mathematics and Computing, held at Veer Surendra Sai University of Technology, Odisha, India, on 7-8 February, 2020. It focuses on new trends in applied analysis, computational mathematics and related areas. It also includes certain new models, image analysis technique, fluid flow problems, etc. as applications of mathematical analysis and computational mathematics. The volume should bring forward new and emerging topics of mathematics and computing having potential applications and uses in other areas of sciences. It can serve as a valuable resource for graduate students, researchers and educators interested in mathematical tools and techniques for solving various problems arising in science and engineering.

New Developments in topology

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (164 download)

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Book Synopsis New Developments in topology by :

Download or read book New Developments in topology written by and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Research in Computational Topology 2

Author : Ellen Gasparovic
Publisher : Springer
ISBN 13 : 9783030955182
Total Pages : 294 pages
Book Rating : 4.9/5 (551 download)

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Book Synopsis Research in Computational Topology 2 by : Ellen Gasparovic

Download or read book Research in Computational Topology 2 written by Ellen Gasparovic and published by Springer. This book was released on 2022-05-11 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community. The multidisciplinary and international WinCompTop workshop provided an exciting and unique opportunity for women in diverse locations and research specializations to interact extensively and collectively contribute to new and active research directions in the field. The prestigious senior researchers that signed on to head projects at the workshop are global leaders in the discipline, and two of them were authors on some of the first papers in the field. Some of the featured topics include topological data analysis of power law structure in neural data; a nerve theorem for directional graph covers; topological or homotopical invariants for directed graphs encoding connections among a network of neurons; and the issue of approximation of objects by digital grids, including precise relations between the persistent homology of dual cubical complexes.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1524 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Topology

Author : Herbert Edelsbrunner
Publisher :
ISBN 13 : 9781470412081
Total Pages : 241 pages
Book Rating : 4.4/5 (12 download)

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Book Synopsis Computational Topology by : Herbert Edelsbrunner

Download or read book Computational Topology written by Herbert Edelsbrunner and published by . This book was released on 2010 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through alg.