Self Similarity And Beyond
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Fractals And Beyond Complexities In The Sciences
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Author : Miroslav M Novak
language : en
Publisher: World Scientific
Release Date : 1998-08-25
Fractals And Beyond Complexities In The Sciences written by Miroslav M Novak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-25 with categories.
One of the ways to understand the complexity in scientific disciplines is through the use of fractal geometry. Tremendous progress has been made in this field since its inception some two decades ago. This book collects the papers at the cutting-edge, reflecting the current status of fractals. With its special emphasis on the multidisciplinary research, the book represents a unique contribution to the understanding of the complex phenomena in nature.
Self Similarity And Beyond
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Author : P.L. Sachdev
language : en
Publisher: CRC Press
Release Date : 2019-06-13
Self Similarity And Beyond written by P.L. Sachdev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-13 with Mathematics categories.
Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences. Nonlinear problems fascinate scientists and engineers, but often elude exact treatment. However elusive they may be, the solutions do exist-if only one perseveres in seeking them out. Self-Similarity and Beyond presents
Fractal Patterns In Nature And Beyond
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-15
Fractal Patterns In Nature And Beyond written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-15 with Science categories.
Fractals are geometric patterns that repeat themselves at different scales. They are found in nature, art, music, and technology. This book is an introduction to fractal geometry, written for a general audience. The book begins with a basic overview of fractal geometry, including the concepts of self-similarity, scaling, and fractal dimensions. It then goes on to discuss a variety of applications of fractal geometry, including in the natural sciences, art, music, and technology. Fractal geometry is a powerful tool that can be used to understand a wide variety of phenomena. For example, fractals have been used to explain the growth of crystals, the behavior of financial markets, and the structure of the universe. Fractals are also being used to develop new materials with unique properties. This book is a comprehensive introduction to fractal geometry. It is written in a clear and concise style, with a minimum of technical jargon. It is also profusely illustrated with diagrams and examples. Whether you are a student, a researcher, or simply someone who is interested in learning more about fractals, this book is the perfect place to start. It will provide you with a solid foundation in fractal geometry and inspire you to learn more about this fascinating field. Fractal geometry is a rapidly growing field, and there is still much that we do not know about these fascinating objects. This book will give you the tools you need to explore this new frontier of science. If you like this book, write a review!
Information And Beyond Part Ii
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Author : Eli Cohen
language : en
Publisher: Informing Science
Release Date :
Information And Beyond Part Ii written by Eli Cohen and has been published by Informing Science this book supported file pdf, txt, epub, kindle and other format this book has been release on with Business & Economics categories.
Dimensional Analysis Beyond The Pi Theorem
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Author : Bahman Zohuri
language : en
Publisher: Springer
Release Date : 2016-11-02
Dimensional Analysis Beyond The Pi Theorem written by Bahman Zohuri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-02 with Technology & Engineering categories.
Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts of dynamical similarity are explained in this book. Our exposition is essentially different from those available in the literature, although it follows the general ideas known as Pi Theorem. There are many excellent books that one can refer to; however, dimensional analysis goes beyond Pi theorem, which is also known as Buckingham’s Pi Theorem. Many techniques via self-similar solutions can bound solutions to problems that seem intractable. A time-developing phenomenon is called self-similar if the spatial distributions of its properties at different points in time can be obtained from one another by a similarity transformation, and identifying one of the independent variables as time. However, this is where Dimensional Analysis goes beyond Pi Theorem into self-similarity, which has represented progress for researchers. In recent years there has been a surge of interest in self-similar solutions of the First and Second kind. Such solutions are not newly discovered; they have been identified and named by Zel’dovich, a famous Russian Mathematician in 1956. They have been used in the context of a variety of problems, such as shock waves in gas dynamics, and filtration through elasto-plastic materials. Self-Similarity has simplified computations and the representation of the properties of phenomena under investigation. It handles experimental data, reduces what would be a random cloud of empirical points to lie on a single curve or surface, and constructs procedures that are self-similar. Variables can be specifically chosen for the calculations.
Beyond Peaceful Coexistence The Emergence Of Space Time And Quantum
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Author : Ignazio Licata
language : en
Publisher: World Scientific
Release Date : 2016-03-30
Beyond Peaceful Coexistence The Emergence Of Space Time And Quantum written by Ignazio Licata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-30 with Science categories.
'It may be that a real synthesis of quantum and relativity theories requires not just technical developments but radical conceptual renewal.'J S BellBeyond Peaceful Coexistence: The Emergence of Space, Time and Quantum brings together leading academics in mathematics and physics to address going beyond the 'peaceful coexistence' of space-time descriptions (local and continuous ones) and quantum events (discrete and non-commutative ones). Formidable challenges waiting beyond the Standard Model require a new semantic consistency within the theories in order to build new ways of understanding, working and relating to them. The original A. Shimony meaning of the peaceful coexistence (the collapse postulate and non-locality) appear to be just the tip of the iceberg in relation to more serious fundamental issues across physics as a whole.Chapters in this book present perspectives on emergent, discrete, geometrodynamic and topological approaches, as well as a new interpretative spectrum of quantum theories after Copenhagen, discrete time theories, time-less approaches and 'super-fluid' pictures of space-time.As well as stimulating further research among established theoretical physicists, the book can also be used in courses on the philosophy and mathematics of theoretical physics.
Beyond Measure A Guided Tour Through Nature Myth And Number
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Author : Jay Kappraff
language : en
Publisher: World Scientific
Release Date : 2002-12-16
Beyond Measure A Guided Tour Through Nature Myth And Number written by Jay Kappraff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-16 with Mathematics categories.
This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.
Scale Invariance And Beyond
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Author : B. Dubrulle
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09
Scale Invariance And Beyond written by B. Dubrulle 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 2013-11-09 with Science categories.
This book is an excellent introduction to the concept of scale invariance, which is a growing field of research with wide applications. It describes where and how symmetry under scale transformation (and its various forms of partial breakdown) can be used to analyze solutions of a problem without the need to explicitly solve it. The first part gives descriptions of tools and concepts; the second is devoted to recent attempts to go beyond the invariance or symmetry breaking, to discuss causes and consequences, and to extract useful information about the system. Examples are carefully worked out in fields as diverse as condensed matter physics, population dynamics, earthquake physics, turbulence, cosmology and finance.
Beyond Quantity
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Author : Andreas Sudmann
language : en
Publisher: transcript Verlag
Release Date : 2023-11-02
Beyond Quantity written by Andreas Sudmann and has been published by transcript Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-02 with Social Science categories.
How do artificial neural networks and other forms of artificial intelligence interfere with methods and practices in the sciences? Which interdisciplinary epistemological challenges arise when we think about the use of AI beyond its dependency on big data? Not only the natural sciences, but also the social sciences and the humanities seem to be increasingly affected by current approaches of subsymbolic AI, which master problems of quality (fuzziness, uncertainty) in a hitherto unknown way. But what are the conditions, implications, and effects of these (potential) epistemic transformations and how must research on AI be configured to address them adequately?
Beyond The Learning Curve
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Author : Craig P. Speelman
language : en
Publisher: Oxford University Press, USA
Release Date : 2005
Beyond The Learning Curve written by Craig P. Speelman and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Education categories.
Reviewing and considering the psychology of skill acquisition, this book proposes a different theory of mental function - demonstrating that the mind is subject to the same natural laws as the physical world. It is useful for students and researchers in the cognitive sciences.