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Non-linear systems behaviours are discussed in this book from the point of new scientific approaches to the interdiscipline nature of the fractal geometry and synergetics. Fractal analysis, synergetics methods and mathematical design are considered according to actual problems of condensed media physics, mechanics, material science and geology.
This book examines the theoretical and practical aspects of tribological process using synergy, fractal and multifractal methods, and the fractal and multifractal models of self-similar tribosystems developed on their basis. It provides a comprehensive analysis of their effectiveness, and also considers the method of flicker noise spectroscopy with detailed parameterization of surface roughness friction. All models, problems and solutions are taken and tested on the set of real-life examples of oil-gas industry. The book is intended for researchers, graduate students and engineers specialising in the field of tribology, and also for senior students of technical colleges.
The development of advanced materials has become extremely important in the last decade, being widely used in academic and industrial research. This book examines the potential of advanced materials as well as nanotechnology to improve fiber science from fibril to fabric mode, to create better materials and products for a variety of aspects. The book presents research advances in materials behavior using fractal analysis, mathematical modeling and simulation, and other methods. Examined are electrical, mechanical, optical, and magnetic properties; size; morphology; and chemical behavior of such materials as aerogels, polymer films, nanocomposite materials, natural composites, catalysis, and more with a view to their application in the medical, engineering, and textile fields. With chapters written by eminent scientists, the book offers valuable information for academics, researchers, and engineering professionals. Contributions range from new methods to novel applications of existing methods to help readers gain understanding of the material and/or structural behavior of new and advanced systems.
This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through various iterated function systems. It begins by providing the Mathematical background behind the fractal interpolation functions with its graphical representations and then introduces the fractional integral and fractional derivative on fractal functions in various scenarios. Further, the existence of the fractal interpolation function with the countable iterated function system is demonstrated by taking suitable monotone and bounded sequences. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions. Moreover, this book explores the idea of fractal interpolation in the reconstruction scheme of illustrative waveforms and discusses the problems of identification of the characterizing parameters. In the application section, this research compendium addresses the signal processing and its Mathematical methodologies. A wavelet-based denoising method for the recovery of electroencephalogram (EEG) signals contaminated by nonstationary noises is presented, and the author investigates the recognition of healthy, epileptic EEG and cardiac ECG signals using multifractal measures. This book is intended for professionals in the field of Mathematics, Physics and Computer Science, helping them broaden their understanding of fractal functions and dimensions, while also providing the illustrative experimental applications for researchers in biomedicine and neuroscience.
This book is written for all engineers, graduate students and beginners working in the application fields, and for experimental scientists in general. It is not presented as a purely theoretical treatise but shows mathematics at a workshop, so to speak, through important applications originating in a deep pure mathematical theory. Widely spread subjects which the author has encountered hitherto are briefly addressed in the book, as chaos and fractal science is a frontier of new research fields nowadays.
Increasing the Durability of Paint and Varnish Coatings in Building Products and Construction presents data and analysis on regularities in the appearance quality of protective and decorative coatings for building products and structures, also detailing the relationship between the resistance of coatings and the quality of their appearance. Developing a method for ensuring the quality of painted surfaces for building products and developing control methods is an important scientific, technical and economic problem. The conditions needed depend largely on the rheological properties of paint and the processes of wetting and application, with different variables for metal or concrete structures. - Presents data and methodological developments that increase the service-life of protective and decorative coatings - Details regularities in the appearance quality of protective and decorative coatings - Covers the relationship between coating resistance and appearance quality - Develops methods for ensuring the quality of painted surfaces - Considers the different variables for the application of paint to various surfaces of building products and structures
This book lays out a vision for a coherent framework for understanding complex systems. By developing the genuine idea of Brownian agents, the author combines concepts from informatics, such as multiagent systems, with approaches of statistical many-particle physics. It demonstrates that Brownian agent models can be successfully applied in many different contexts, ranging from physicochemical pattern formation to swarming in biological systems.
The Encyclopedia of Production and Manufacturing Management is an encyclopedia that has been developed to serve this field as the fundamental reference work. Over the past twenty years, the field of production and operations management has grown more rapidly than ever and consequently its boundaries have been stretched in all directions. For example, in the last two decades, production and manufacturing management absorbed in rapid succession several new production management concepts: manufacturing strategy, focused factory, just-in-time manufacturing, concurrent engineering, total quality management, supply chain management, flexible manufacturing systems, lean production, and mass customization, to name a few. This explosive growth makes the need for this volume abundantly clear. The manufacturing industry thinks and acts more broadly than it did several decades ago. The most notable change has been the need for manufacturing managers to think in technological, strategic and competitive terms. This is a very favorable development, and it leads to manufacturing success. The entries in this encyclopedia include the most recent technical and strategic innovations in production and manufacturing management. The encyclopedia consists of articles of varying lengths. The longer articles on important concepts and practices range from five to fifteen pages. There are about 100 such articles written by nearly 100 authors from around the world. In addition, there are over 1000 shorter entries on concepts, practices and principles. The range of topics and depth of coverage is intended to suit both student and professional audiences. The shorter entries provide digests of unfamiliar and complicated subjects. Difficult subjects are made intelligible to the reader without oversimplification. The strategic and technological perspectives on various topics give this Encyclopedia its distinctiveness and uniqueness. The world of manufacturing today is increasingly competitive. It is apparent that manufacturers must respond to these competitive pressures with technical and strategic innovation. This encyclopedia has been developed to help researchers, students and those in the manufacturing industry to understand and implement these ongoing changes in the field.