Fractal 2
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Fractals And Chaos
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Author : Benoit Mandelbrot
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-09
Fractals And Chaos written by Benoit Mandelbrot 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 2004-01-09 with Mathematics categories.
Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.
The Nonlinear Workbook
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Author : Willi-Hans Steeb
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-11-14
The Nonlinear Workbook written by Willi-Hans Steeb and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-14 with Science categories.
The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. The book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked out examples and 160 ready to run programs are included. Each chapter provides a collection of interesting problems. New topics added to the 6th edition are Swarm Intelligence, Quantum Cellular Automata, Hidden Markov Model and DNA, Birkhoff's ergodic theorem and chaotic maps, Banach fixed point theorem and applications, tau-wavelets of Haar, Boolean derivatives and applications, and Cartan forms and Lagrangian. Request Inspection Copy
An Introduction To Dynamical Systems And Chaos
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Author : G. C. Layek
language : en
Publisher: Springer Nature
Release Date :
An Introduction To Dynamical Systems And Chaos written by G. C. Layek and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Lure Of Modern Science The Fractal Thinking
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Author : Bill Deering
language : en
Publisher: World Scientific
Release Date : 1995-05-31
Lure Of Modern Science The Fractal Thinking written by Bill Deering and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-31 with Science categories.
The authors describe mostly in non-technical language the development of a new scientific paradigm based on nonlinear deterministic dynamics and fractal geometry. The concepts from these two mathematical disciplines are interwoven with data from the physical, social and life sciences. In this way rather sophisticated mathematical concepts are made accessible through experimental data from various disciplines, and the formalism is relegated to appendices. It is shown that the complexity of natural and social phenomena invariably lead to inverse power law distributions, both in terms of probabilities and spectra. This book tries to show how to think differently about familiar phenomena, such as why the bell-shape curve ought not to be used in teaching or in the characterization of such complex phenomena as intelligence.
Fractal Geometry In Biological Systems
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Author : Philip M. Iannaccone
language : en
Publisher: CRC Press
Release Date : 1996-07-25
Fractal Geometry In Biological Systems written by Philip M. Iannaccone and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-25 with Science categories.
Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.
Fractals In Biology And Medicine
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Author : Theo F. Nonnenmacher
language : en
Publisher: Birkhäuser
Release Date : 2013-03-07
Fractals In Biology And Medicine written by Theo F. Nonnenmacher and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Science categories.
"Fractals in Biology and Medicine" explores the potential of fractal geometry for describing and understanding biological organisms, their development and growth as well as their structural design and functional properties. It extends these notions to assess changes associated with disease in the hope to contribute to the understanding of pathogenetic processes in medicine. The book is the first comprehensive presentation of the importance of the new concept of fractal geometry for biological and medical sciences. It collates in a logical sequence extended papers based on invited lectures and free communications presented at a symposium in Ascona, Switzerland, attended by leading scientists in this field, among them the originator of fractal geometry, Benoit Mandelbrot. "Fractals in Biology and Medicine" begins by asking how the theoretical construct of fractal geometry can be applied to biomedical sciences and then addresses the role of fractals in the design and morphogenesis of biological organisms as well as in molecular and cell biology. The consideration of fractal structure in understanding metabolic functions and pathological changes is a particularly promising avenue for future research.
Embedded Sopc Design With Nios Ii Processor And Vhdl Examples
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Author : Pong P. Chu
language : en
Publisher: John Wiley & Sons
Release Date : 2011-08-29
Embedded Sopc Design With Nios Ii Processor And Vhdl Examples written by Pong P. Chu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-29 with Technology & Engineering categories.
The book is divided into four major parts. Part I covers HDL constructs and synthesis of basic digital circuits. Part II provides an overview of embedded software development with the emphasis on low-level I/O access and drivers. Part III demonstrates the design and development of hardware and software for several complex I/O peripherals, including PS2 keyboard and mouse, a graphic video controller, an audio codec, and an SD (secure digital) card. Part IV provides three case studies of the integration of hardware accelerators, including a custom GCD (greatest common divisor) circuit, a Mandelbrot set fractal circuit, and an audio synthesizer based on DDFS (direct digital frequency synthesis) methodology. The book utilizes FPGA devices, Nios II soft-core processor, and development platform from Altera Co., which is one of the two main FPGA manufactures. Altera has a generous university program that provides free software and discounted prototyping boards for educational institutions (details at http://www.altera.com/university). The two main educational prototyping boards are known as DE1 ($99) and DE2 ($269). All experiments can be implemented and tested with these boards. A board combined with this book becomes a “turn-key” solution for the SoPC design experiments and projects. Most HDL and C codes in the book are device independent and can be adapted by other prototyping boards as long as a board has similar I/O configuration.
Fractal Geometry
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Author : Kenneth Falconer
language : en
Publisher: John Wiley & Sons
Release Date : 2014-02-03
Fractal Geometry written by Kenneth Falconer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-03 with Mathematics categories.
The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics, science and scientific research. Since its initial publication in 1990 Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. The book introduces and develops the general theory and applications of fractals in a way that is accessible to students and researchers from a wide range of disciplines. Fractal Geometry: Mathematical Foundations and Applications is an excellent course book for undergraduate and graduate students studying fractal geometry, with suggestions for material appropriate for a first course indicated. The book also provides an invaluable foundation and reference for researchers who encounter fractals not only in mathematics but also in other areas across physics, engineering and the applied sciences. Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals Carefully explains each topic using illustrative examples and diagrams Includes the necessary mathematical background material, along with notes and references to enable the reader to pursue individual topics Features a wide range of exercises, enabling readers to consolidate their understanding Supported by a website with solutions to exercises and additional material www.wileyeurope.com/fractal Leads onto the more advanced sequel Techniques in Fractal Geometry (also by Kenneth Falconer and available from Wiley)
Frontiers Of Manufacturing And Design Science Ii
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Author : Dong Ye Sun
language : en
Publisher: Trans Tech Publications Ltd
Release Date : 2011-10-24
Frontiers Of Manufacturing And Design Science Ii written by Dong Ye Sun and has been published by Trans Tech Publications Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-24 with Technology & Engineering categories.
Volume is indexed by Thomson Reuters CPCI-S (WoS). This collection of 949 peer-reviewed papers on the Frontiers of Manufacturing and Design Science is intended to promote the development of Manufacturing, Design and Materials Science, the strengthening of international academic cooperation and communications and the exchange of research ideas. This book provides readers with a broad overview of the latest advances in the field of Manufacturing and Design Science.
Fractal Physiology
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Author : James B Bassingthwaighte
language : en
Publisher: Springer
Release Date : 2013-05-27
Fractal Physiology written by James B Bassingthwaighte and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-27 with Medical categories.
I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.
