Author: Miroslav Michal Novak
Publisher: World Scientific
ISBN: 9812388222
Category : Science
Languages : en
Pages : 336
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Book Description
Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors.This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics ? from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Author: Benoit B. Mandelbrot
Publisher: World Scientific
ISBN: 9789812702746
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors. This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics OCo from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."
Author: Miroslav M Novak
Publisher: World Scientific
ISBN: 9814478555
Category : Science
Languages : en
Pages : 359
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Book Description
The dynamics of complex systems can clarify the creation of structures in Nature. This creation is driven by the collective interaction of constitutive elements of the system. Such interactions are frequently nonlinear and are directly responsible for the lack of prediction in the evolution process. The self-organization accompanying these processes occurs all around us and is constantly being rediscovered, under the guise of a new jargon, in apparently unrelated disciplines.This volume offers unique perspectives on aspects of fractals and complexity and, through the examination of complementary techniques, provides a unifying thread in this multidisciplinary endeavor. Do nonlinear interactions play a role in the complexity management of socio-econo-political systems? Is it possible to extract the global properties of genetic regulatory networks without knowing the details of individual genes? What can one learn by transplanting the self-organization effects known in laser processes to the study of emotions? What can the change in the level of complexity tell us about the physiological state of the organism? The reader will enjoy finding the answers to these questions and many more in this book.
Author: Clifford A Pickover
Publisher: World Scientific
ISBN: 9814504033
Category : Mathematics
Languages : en
Pages : 466
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Book Description
This book will allow you to travel through time and space. To facilitate your journey, the editor has scoured the four corners of the earth in a quest for unusual people and their fascinating patterns. From Mozambique, to Asia, to many European countries, the contributors to The Pattern Book include world-famous cancer researchers, little-known artists and eclectirc computer programmers. Some of the patterns are ultramodern, while others are centuries old. Many of the patterns are drawn from the universe of mathematics. Computer recipes are scattered throughout.Although the emphasis is on computer-generated patterns, the book is informal and the intended audience spans several fields. The emphasis is on the fun that the true pattern lover finds in doing, rather than in reading about the doing! The book is organized into three main parts: Representing Nature (for those patterns which describe or show real physical phenomena, e.g., visualizations of protein motion, sea lilies, etc.), Mathematics and Symmetry (for those patterns which describe or show mathematical behavior, e.g. fractals), and Human Art (for those patterns which are artistic works of humans and made without the aid of a computer, e.g. Moslem tiling patterns.)
Author: Patrice Abry
Publisher: John Wiley & Sons
ISBN: 1118622901
Category : Mathematics
Languages : en
Pages : 382
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Book Description
Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling — self-similarity, long-range dependence and multi-fractals — are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.
Author: Orsucci, Franco
Publisher: IGI Global
ISBN: 1466620781
Category : Computers
Languages : en
Pages : 355
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Book Description
There are new and important advancements in todays complexity theories in ICT and requires an extraordinary perspective on the interaction between living systems and information technologies. With human evolution and its continuous link with the development of new tools and environmental changes, technological advancements are paving the way for new evolutionary steps. Complexity Science, Living Systems, and Reflexing Interfaces: New Models and Perspectives is a collection of research provided by academics and scholars aiming to introduce important advancements in areas such as artificial intelligence, evolutionary computation, neural networks, and much more. This scholarly piece will provide contributions that will define the line of development in complexity science.
Author: Orsucci, Franco F.
Publisher: IGI Global
ISBN: 1599046296
Category : Science
Languages : en
Pages : 432
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Book Description
"This book discusses the application of complex theories in information and communication technology, with a focus on the interaction between living systems and information technologies, providing researchers, scholars, and IT professionals with a fundamental resource on such topics as virtual reality; fuzzy logic systems; and complexity science in artificial intelligence, evolutionary computation, neural networks, and 3-D modeling"--Provided by publisher.
Author: Sarah C. Campbell
Publisher: Astra Publishing House
ISBN: 1662620519
Category : Juvenile Nonfiction
Languages : en
Pages : 35
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Book Description
Nature's repeating patterns, better known as fractals, are beautiful, universal, and explain much about how things grow. Fractals can also be quantified mathematically. Here is an elegant introduction to fractals through examples that can be seen in parks, rivers, and our very own backyards. Young readers will be fascinated to learn that broccoli florets are fractals—just like mountain ranges, river systems, and trees—and will share in the wonder of math as it is reflected in the world around us. Perfect for any elementary school classroom or library, Mysterious Patterns is an exciting interdisciplinary introduction to repeating patterns.
Author: Natalia Petrovskaia
Publisher: University of Wales Press
ISBN: 1837720371
Category : History
Languages : en
Pages : 199
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Book Description
This is Not a Grail Romance provides answers to some of the most important questions surrounding the medieval Welsh Arthurian tale Historia Peredur vab Efrawc, one of the few surviving medieval Welsh narrative compositions, and an important member of the ‘Grail’ family of medieval European narratives. The study demonstrates that Historia Peredur is an original Welsh composition, rather than (as previous theories have suggested) being an adaptation of the twelfth-century French grail romance. The new analysis of the structure of Historia Peredur presented here shows it to be as complex as it has always been thought – but also more formal, and the result of intentional and intricate design. The seeming inconsistencies or oddities in Historia Peredur can be understood by reading it in its medieval Welsh cultural context, allowing the modern reader a greater appreciation of both the narrative and the culture that produced it.
Author: Anirban Banerji
Publisher: Springer Science & Business Media
ISBN: 303480654X
Category : Science
Languages : en
Pages : 62
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Book Description
The essential question that fractal dimensions attempt to answer is about the scales in Nature. For a system as non-idealistic and complex as a protein, studying scale-invariance becomes particularly important. Fractal Symmetry of Protein Exterior investigates the diverse facets of the various scales at which we describe protein biophysical and biochemical phenomena. Although these ideas are entirely mathematical, mathematical expositions have been avoided, unless the use of some expressions becomes absolutely obligatory. A first chapter introduce into fractal dimensions, protein exteriors and to methods to study the roughness of surfaces. The main topics covered in the following chapters include: protein-protein interaction interfaces; protein surface-roughness and local shape as well as adhesion on protein and other rough biomolecular surfaces.
