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


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


Applied Topology Recent Progress For Computer Science Fuzzy Mathematics And Economics
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Author : Macario Vives, Sergio
language : en
Publisher: Publicacions de la Universitat Jaume I
Release Date : 2012-10-22

Applied Topology Recent Progress For Computer Science Fuzzy Mathematics And Economics written by Macario Vives, Sergio and has been published by Publicacions de la Universitat Jaume I this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-22 with Mathematics categories.


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


Applied Topology
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Author : Sergio Macario
language : en
Publisher:
Release Date : 2012

Applied Topology written by Sergio Macario and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.




Fractal Dimension For Fractal Structures


Fractal Dimension For Fractal Structures
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Author : Manuel Fernández-Martínez
language : en
Publisher: Springer
Release Date : 2019-04-23

Fractal Dimension For Fractal Structures written by Manuel Fernández-Martínez and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-23 with Mathematics categories.


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.

Frames And Locales


Frames And Locales
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Author : Jorge Picado
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-21

Frames And Locales written by Jorge Picado 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 2011-10-21 with Mathematics categories.


Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.

Separation In Point Free Topology


Separation In Point Free Topology
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Author : Jorge Picado
language : en
Publisher: Springer Nature
Release Date : 2021-02-01

Separation In Point Free Topology written by Jorge Picado and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-01 with Mathematics categories.


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 Set Theory And Its Applications


Fuzzy Set Theory And Its Applications
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Author : Hans-Jürgen Zimmermann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Fuzzy Set Theory And Its Applications written by Hans-Jürgen Zimmermann 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 2013-12-01 with Business & Economics categories.




Journal Of Economic Literature


Journal Of Economic Literature
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Author :
language : en
Publisher:
Release Date : 1999

Journal Of Economic Literature written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Economics categories.