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Fractal Elements And Their Applications
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Book Synopsis Fractal Elements and their Applications by : Anis Kharisovich Gil’mutdinov
Download or read book Fractal Elements and their Applications written by Anis Kharisovich Gil’mutdinov and published by Springer. This book was released on 2017-02-08 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a new type of passive electronic components, called fractal elements, from a theoretical and practical point of view. The authors discuss in detail the physical implementation and design of fractal devices for application in fractional-order signal processing and systems. The concepts of fractals and fractal signals are explained, as well as the fundamentals of fractional calculus. Several implementations of fractional impedances are discussed, along with comparison of their performance characteristics. Details of design, schematics, fundamental techniques and implementation of RC-based fractal elements are provided.
Book Synopsis Fractal Elements and Their Applications by : Anis Kharisovich Gil'mutdinov
Download or read book Fractal Elements and Their Applications written by Anis Kharisovich Gil'mutdinov and published by . This book was released on 2017 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applications of Fractals and Chaos by : A.J. Crilly
Download or read book Applications of Fractals and Chaos written by A.J. Crilly and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Fractals and Chaos presents new developments in this rapidlydeveloping subject area. The presentation is more than merely theoretical, it specifically presents particular applications in a wide range of applications areas. Under the oceans, we consider the ways in which sponges and corals grow; we look, too, at the stability of ships on their surfaces. Land itself is modelled and applications to art, medicineand camouflage are presented. Readers should find general interest in the range of areas considered and should also be able to discover methods of value for their own specific areas of interest from studying the structure of related activities.
Book Synopsis Fractals, Wavelets, and their Applications by : Christoph Bandt
Download or read book Fractals, Wavelets, and their Applications written by Christoph Bandt and published by Springer. This book was released on 2014-09-27 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies. This volume contains the selected contributions from the lectures and plenary and invited talks given at the International Workshop and Conference on Fractals and Wavelets held at Rajagiri School of Engineering and Technology, India from November 9-12, 2013. Written by experts, the contributions hope to inspire and motivate researchers working in this area. They provide more insight into the areas of fractals, self similarity, iterated function systems, wavelets and the applications of both fractals and wavelets. This volume will be useful for the beginners as well as experts in the fields of fractals and wavelets.
Book Synopsis Fractal Analysis by : Fernando Brambila
Download or read book Fractal Analysis written by Fernando Brambila and published by BoD – Books on Demand. This book was released on 2017-06-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.
Book Synopsis Physics and Mechanics of New Materials and Their Applications by : Ivan A. Parinov
Download or read book Physics and Mechanics of New Materials and Their Applications written by Ivan A. Parinov and published by Springer Nature. This book was released on 2023-01-28 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents 50 selected peer-reviewed contributions from the 10th Anniversary International Conference on “Physics and Mechanics of New Materials and Their Applications”, PHENMA 2021-2022 (23-27 May, 2022, Divnomorsk, Russia), focusing on processing techniques, physics, mechanics, and applications of advanced materials. The book describes a broad spectrum of promising nanostructures, crystal structures, materials, and composites with unique properties. It presents nanotechnological design approaches, environmental-friendly processing techniques, and physicochemical as well as mechanical studies of advanced materials. The selected contributions describe recent progress in computational materials science methods and algorithms (in particular, finite-element and finite-difference modelling) applied to various technological, mechanical, and physical problems. The presented results are important for ongoing efforts concerning the theory, modelling, and testing of advanced materials. Other results are devoted to promising devices with higher accuracy, increased longevity, and greater potential to work effectively under critical temperatures, high pressure, and in aggressive environments.
Book Synopsis Applications in Engineering, Life and Social Sciences by : Dumitru Bǎleanu
Download or read book Applications in Engineering, Life and Social Sciences written by Dumitru Bǎleanu and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-04-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This eighth volume collects authoritative chapters covering several applications of fractional calculus in engineering, life and social sciences, including applications in signal and image analysis, and chaos.
Book Synopsis Fractals: Theory and Applications in Engineering by : Michel Dekking
Download or read book Fractals: Theory and Applications in Engineering written by Michel Dekking and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Owing to the rapid emergence and growth of techniques in the engineering application of fractals, it has become necessary to gather the most recent advances on a regular basis. This book is a continuation of the first volume - published in 1997 - but contains interesting developments. A major point is that mathematics has become more and more involved in the definition and use of fractal models. It seems that the time of the qualitative observation of fractal phenomena has gone. Now the main models are strongly based upon theoretical arguments. Fractals: Theory and Applications in Engineering is a multidisciplinary book which should interest every scientist working in areas connected to fractals.
Book Synopsis Fractal Patterns in Nonlinear Dynamics and Applications by : Santo Banerjee
Download or read book Fractal Patterns in Nonlinear Dynamics and Applications written by Santo Banerjee and published by CRC Press. This book was released on 2020-03-27 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books on fractals focus on deterministic fractals as the impact of incorporating randomness and time is almost absent. Further, most review fractals without explaining what scaling and self-similarity means. This book introduces the idea of scaling, self-similarity, scale-invariance and their role in the dimensional analysis. For the first time, fractals emphasizing mostly on stochastic fractal, and multifractals which evolves with time instead of scale-free self-similarity, are discussed. Moreover, it looks at power laws and dynamic scaling laws in some detail and provides an overview of modern statistical tools for calculating fractal dimension and multifractal spectrum.
Book Synopsis Ergodic Theory and Fractal Geometry by : Hillel Furstenberg
Download or read book Ergodic Theory and Fractal Geometry written by Hillel Furstenberg and published by American Mathematical Society. This book was released on 2014-08-08 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that "straighten out" under magnification. Fractals, which take their name from the shape of fractured objects, can be characterized as retaining their lack of smoothness under magnification. The properties of fractals come to light under repeated magnification, which we refer to informally as "zooming in". This zooming-in process has its parallels in dynamics, and the varying "scenery" corresponds to the evolution of dynamical variables. The present monograph focuses on applications of one branch of dynamics--ergodic theory--to the geometry of fractals. Much attention is given to the all-important notion of fractal dimension, which is shown to be intimately related to the study of ergodic averages. It has been long known that dynamical systems serve as a rich source of fractal examples. The primary goal in this monograph is to demonstrate how the minute structure of fractals is unfolded when seen in the light of related dynamics. A co-publication of the AMS and CBMS.
Book Synopsis Fractals in Biology and Medicine by : Gabriele A. Losa
Download or read book Fractals in Biology and Medicine written by Gabriele A. Losa and published by Springer Science & Business Media. This book was released on 2005-08-18 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is number four in a series of proceedings volumes from the International Symposia on Fractals in Biology and Medicine in Ascona, Switzerland which have been inspired by the work of Benoît Mandelbrot seeking to extend the concepts towards the life sciences. It highlights the potential that fractal geometry offers for elucidating and explaining the complex make-up of cells, tissues and biological organisms either in normal or in pathological conditions.
Book Synopsis Application of Fractals in Earth Sciences by : V.P. Dimri
Download or read book Application of Fractals in Earth Sciences written by V.P. Dimri and published by CRC Press. This book was released on 2000-01-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines the emerging field of fractals and its applications in earth sciences. Topics covered include: concepts of fractal and multifractal chaos; the application of fractals in geophysics, geology, climate studies, and earthquake seismology.
Book Synopsis Fractional Calculus by : Praveen Agarwal
Download or read book Fractional Calculus written by Praveen Agarwal and published by Springer Nature. This book was released on 2019-11-23 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects papers presented at the International Conference on Fractional Differentiation and its Applications (ICFDA), held at the University of Jordan, Amman, Jordan, on 16–18 July 2018. Organized into 13 chapters, the book discusses the latest trends in various fields of theoretical and applied fractional calculus. Besides an essential mathematical interest, its overall goal is a general improvement of the physical world models for the purpose of computer simulation, analysis, design and control in practical applications. It showcases the development of fractional calculus as an acceptable tool for a large number of diverse scientific communities due to more adequate modeling in various fields of mechanics, electricity, chemistry, biology, medicine, economics, control theory, as well as signal and image processing. The book will be a valuable resource for graduate students and researchers of mathematics and engineering.
Download or read book Basic Theory written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.
Download or read book The Grapes of Math written by Alex Bellos and published by Simon and Schuster. This book was released on 2014-06-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.
Book Synopsis Wavelet Analysis and Its Applications by : Jian Ping Li
Download or read book Wavelet Analysis and Its Applications written by Jian Ping Li and published by World Scientific. This book was released on 2003 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book captures the essence of the current state of research in wavelet analysis and its applications, and identifies the changes and opportunities -- both current and future -- in the field. Distinguished researchers such as Prof John Daugman from Cambridge University and Prof Victor Wickerhauser from Washington University present their research papers. Readership: Graduate students, academics and researchers in computer science and engineering.
Book Synopsis Wavelet Analysis And Its Applications (In 2 Vols), Proceedings Of The Third International Conference On Waa by : Li Jian Ping
Download or read book Wavelet Analysis And Its Applications (In 2 Vols), Proceedings Of The Third International Conference On Waa written by Li Jian Ping and published by World Scientific. This book was released on 2003-04-11 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book captures the essence of the current state of research in wavelet analysis and its applications, and identifies the changes and opportunities - both current and future - in the field. Distinguished researchers such as Prof John Daugman from Cambridge University and Prof Victor Wickerhauser from Washington University present their research papers.
