Superfractals
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Superfractals
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Author : Michael Fielding Barnsley
language : en
Publisher: Cambridge University Press
Release Date : 2006-09-07
Superfractals written by Michael Fielding Barnsley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-07 with Computers categories.
SuperFractals, first published in 2006, is the successor to Fractals Everywhere, in which the power and beauty of Iterated Function Systems were introduced and applied to producing startling and original images that reflect complex structures found for example in nature. This provoked the question of whether there is a deeper connection between topology, geometry, IFS and codes on the one hand and biology, DNA and protein development on the other. Now, 20 years later, Barnsley explains how IFS have developed in order to address this issue. Ideas such as fractal tops and superIFS are introduced, and the classical deterministic approach is combined with probabilistic ideas to produce new mathematics and algorithms that open a whole theory that could have applications in computer graphics, bioinformatics, economics, signal processing and beyond. For the first time these ideas are explained in book form, and illustrated with breathtaking pictures.
Superfractals
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Author : Michael Fielding Barnsley
language : en
Publisher: Cambridge University Press
Release Date : 2006-09-07
Superfractals written by Michael Fielding Barnsley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-07 with Computers categories.
SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
Hadron Models And Related New Energy Issues
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2007-01-01
Hadron Models And Related New Energy Issues written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Science categories.
The present book covers a wide-range of issues from alternative hadron models to their likely implications to New Energy research, including alternative interpretation of low-energy reaction (coldfusion) phenomena.The authors explored some new approaches to describe novel phenomena in particle physics. M Pitkanen introduces his nuclear string hypothesis derived from his Topological Geometrodynamics theory, while E. Goldfain discusses a number of nonlinear dynamics methods, including bifurcation, pattern formation (complex Ginzburg-Landau equation) to describe elementary particle masses. Fu Yuhua discusses a plausible method for prediction of phenomena related to New Energy development.F. Smarandache discusses his unmatter hypothesis, and A. Yefremov et al. discuss Yang-Mills field from Quaternion Space Geometry. Diego Rapoport discusses link between Torsion fields and Hadronic Mechanic.A.H. Phillips discusses semiconductor nanodevices, while V. and A. Boju discuss Digital Discrete and Combinatorial methods and their likely implications to New Energy research. Pavel Pintr et al. describe planetary orbit distance from modified Schrodinger equation, and M. Pereira discusses his new Hypergeometrical description of Standard Model of elementary particles.The present volume will be suitable for researchers interested in New Energy issues, in particular their link with alternative hadron models and interpretation.While some of these discussions may be found a bit too theoretical, our view is that once these phenomena can be put into rigorous theoretical framework, thereafter more 'open-minded' physicists may be more ready to consider these New Energy methods more seriously. Our basic proposition in the present book is that considering these new theoretical insights, one can expect there are new methods to generate New Energy technologies which are clearly within reach of human knowledge in the coming years.
Measure Topology And Fractal Geometry
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Author : Gerald Edgar
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-23
Measure Topology And Fractal Geometry written by Gerald Edgar 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 2007-10-23 with Mathematics categories.
From reviews of the first edition: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology...the book also contains many good illustrations of fractals (including 16 color plates)." Mathematics Teaching "The book can be recommended to students who seriously want to know about the mathematical foundation of fractals, and to lecturers who want to illustrate a standard course in metric topology by interesting examples." Christoph Bandt, Mathematical Reviews "...not only intended to fit mathematics students who wish to learn fractal geometry from its beginning but also students in computer science who are interested in the subject. Especially, for the last students the author gives the required topics from metric topology and measure theory on an elementary level. The book is written in a very clear style and contains a lot of exercises which should be worked out." H.Haase, Zentralblatt About the second edition: Changes throughout the text, taking into account developments in the subject matter since 1990; Major changes in chapter 6. Since 1990 it has become clear that there are two notions of dimension that play complementary roles, so the emphasis on Hausdorff dimension will be replaced by the two: Hausdorff dimension and packing dimension. 6.1 will remain, but a new section on packing dimension will follow it, then the old sections 6.2--6.4 will be re-written to show both types of dimension; Substantial change in chapter 7: new examples along with recent developments; Sections rewritten to be made clearer and more focused.
Iterated Function Systems For Real Time Image Synthesis
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Author : Slawomir Nikiel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-28
Iterated Function Systems For Real Time Image Synthesis written by Slawomir Nikiel 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 2007-05-28 with Computers categories.
Natural phenomena can be visually described with fractal-geometry methods, where iterative procedures rather than equations are used to model objects. With the development of better modelling algorithms, the efficiency of rendering, the realism of computer-generated scenes and the interactivity of visual stimuli are reaching astonishing levels. Iterated Function Systems for Real-Time Image Synthesis gives an explanation of iterated function systems and how to use them in generation of complex objects. Contents include: Discussion of the most popular fractal models applied in the field of image synthesis. Presentation of iterated function system models, including recent developments in IFS representation. Exploration of algorithms for creating and manipulating fractal objects, and techniques for implementing the algorithms. Use of practical examples to demonstrate the implementation and application of IFS models. The book contains both a description text and pseudo-code samples for the convenience of graphics application programmers.
Paradoxes Of Measures And Dimensions Originating In Felix Hausdorff S Ideas
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Author : Janusz Czyz
language : en
Publisher: World Scientific
Release Date : 1994-01-14
Paradoxes Of Measures And Dimensions Originating In Felix Hausdorff S Ideas written by Janusz Czyz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-14 with Mathematics categories.
In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
Fractals Everywhere
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Author : Michael F. Barnsley
language : en
Publisher: Courier Corporation
Release Date : 2013-10-03
Fractals Everywhere written by Michael F. Barnsley and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-03 with Mathematics categories.
Up-to-date text focuses on how fractal geometry can be used to model real objects in the physical world, with an emphasis on fractal applications. Includes solutions, hints, and a bonus CD.
Fractal Geometry And Stochastics Iv
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Author : Christoph Bandt
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-08
Fractal Geometry And Stochastics Iv written by Christoph Bandt 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 2010-01-08 with Mathematics categories.
Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance. This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference "Fractal Geometry and Stochastics IV" at Greifswald in September 2008.
Fractals Everywhere
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Author : Michael F. Barnsley
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Fractals Everywhere written by Michael F. Barnsley and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.
Exploring Stochastic Laws
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Author : A.V. Skorokhod
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Exploring Stochastic Laws written by A.V. Skorokhod and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Law categories.
No detailed description available for "Exploring Stochastic Laws".