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Theory And Application Of Hyperspaces


Theory And Application Of Hyperspaces
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Theory And Application Of Hyperspaces


Theory And Application Of Hyperspaces
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Author : Steven Graham Fisher
language : en
Publisher:
Release Date : 1999

Theory And Application Of Hyperspaces written by Steven Graham Fisher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Hyperspace categories.




Fractals And Hyperspaces


Fractals And Hyperspaces
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Author : Keith R. Wicks
language : en
Publisher: Springer
Release Date : 2006-11-14

Fractals And Hyperspaces written by Keith R. Wicks and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures. The first part of the book develops certain hyperspace theory concerning the Hausdorff metric and the Vietoris topology, as a foundation for what follows on self-similarity and fractality. A major feature is that nonstandard analysis is used to obtain new proofs of some known results much more slickly than before. The theory of J.E. Hutchinson's invariant sets (sets composed of smaller images of themselves) is developed, with a study of when such a set is tiled by its images and a classification of many invariant sets as either regular or residual. The last and most original part of the book introduces the notion of a "view" as part of a framework for studying the structure of sets within a given space. This leads to new, elegant concepts (defined purely topologically) of self-similarity and fractality: in particular, the author shows that many invariant sets are "visually fractal", i.e. have infinite detail in a certain sense. These ideas have considerable scope for further development, and a list of problems and lines of research is included.



Shape Theory And Hyperspaces


Shape Theory And Hyperspaces
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Author : Aleksandar B. Vučić
language : en
Publisher:
Release Date : 1986

Shape Theory And Hyperspaces written by Aleksandar B. Vučić and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Hyperspace categories.




Hyperspaces In The Theory Of Function Spaces


Hyperspaces In The Theory Of Function Spaces
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Author : David Nichols O'Steen
language : en
Publisher:
Release Date : 1971

Hyperspaces In The Theory Of Function Spaces written by David Nichols O'Steen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.




Contributions To The Theory Of Hyperspaces


Contributions To The Theory Of Hyperspaces
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Author : John Norman Ginsburg
language : en
Publisher:
Release Date : 1975

Contributions To The Theory Of Hyperspaces written by John Norman Ginsburg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.




Fuzzy Sets Theory And Applications


Fuzzy Sets Theory And Applications
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Author : André Jones
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fuzzy Sets Theory And Applications written by André Jones 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 2012-12-06 with Mathematics categories.


Problems in decision making and in other areas such as pattern recogni tion, control, structural engineering etc. involve numerous aspects of uncertainty. Additional vagueness is introduced as models become more complex but not necessarily more meaningful by the added details. During the last two decades one has become more and more aware of the fact that not all this uncertainty is of stochastic (random) cha racter and that, therefore, it can not be modelled appropriately by probability theory. This becomes the more obvious the more we want to represent formally human knowledge. As far as uncertain data are concerned, we have neither instru ments nor reasoning at our disposal as well defined and unquestionable as those used in the probability theory. This almost infallible do main is the result of a tremendous work by the whole scientific world. But when measures are dubious, bad or no longer possible and when we really have to make use of the richness of human reasoning in its variety, then the theories dealing with the treatment of uncertainty, some quite new and other ones older, provide the required complement, and fill in the gap left in the field of knowledge representation. Nowadays, various theories are widely used: fuzzy sets, belief function, the convenient associations between probability and fuzzines~ etc ••• We are more and more in need of a wide range of instruments and theories to build models that are more and more adapted to the most complex systems.



Algebraic Hyperstructures And Applications Proceedings Of The Fourth International Congress


Algebraic Hyperstructures And Applications Proceedings Of The Fourth International Congress
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Author : Thomas Vougiouklis
language : en
Publisher: World Scientific
Release Date : 1991-04-22

Algebraic Hyperstructures And Applications Proceedings Of The Fourth International Congress written by Thomas Vougiouklis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-04-22 with categories.


Topics covered include semihypergroups, hypergroups, hyperrings, hyperfields, hypermatrices, ordered hyperstructures etc., related topics as join spaces, cogroups, polygroups and finally applications on combinatorics, field theory, finite geometry, computer science etc.



Nets Of Sets And Applications To Topologies On Hyperspaces


Nets Of Sets And Applications To Topologies On Hyperspaces
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Author : Barbara Anne Flajnik
language : en
Publisher:
Release Date : 1980

Nets Of Sets And Applications To Topologies On Hyperspaces written by Barbara Anne Flajnik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Hyperspace categories.




Continuum Theory


Continuum Theory
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Author : Alejandro Illanes
language : en
Publisher: CRC Press
Release Date : 2002-07-25

Continuum Theory written by Alejandro Illanes and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-25 with Mathematics categories.


Celebrating the work of world-renowned mathematician Sam B. Nadler, Jr., this reference examines the most recent advances in the analysis of continua. The book offers articles on the contributions of Professor Nadler, theorems on the structure and uniqueness of hyperspaces, results on the dynamics of solenoids, examples involving inverse limits of



Contributions To The Theory Of Correspondences And Hyperspaces


Contributions To The Theory Of Correspondences And Hyperspaces
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Author : Gilles Berthiaume
language : en
Publisher:
Release Date : 1975

Contributions To The Theory Of Correspondences And Hyperspaces written by Gilles Berthiaume and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.