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This book contains state of the art contributions to this rapidly growing research area. It will be of essential value to mathematicians, physicists and engineers working in the fields of fractals and related phenomena and to researchers working in medicine and the life sciences.
This is Not a Grail Romance provides answers to some of the most important questions surrounding the medieval Welsh Arthurian tale Historia Peredur vab Efrawc, one of the few surviving medieval Welsh narrative compositions, and an important member of the ‘Grail’ family of medieval European narratives. The study demonstrates that Historia Peredur is an original Welsh composition, rather than (as previous theories have suggested) being an adaptation of the twelfth-century French grail romance. The new analysis of the structure of Historia Peredur presented here shows it to be as complex as it has always been thought – but also more formal, and the result of intentional and intricate design. The seeming inconsistencies or oddities in Historia Peredur can be understood by reading it in its medieval Welsh cultural context, allowing the modern reader a greater appreciation of both the narrative and the culture that produced it.
In the history of technology, many fields have passed from an initial stage of empirical recipes to a mature stage where work is based on formal theories and procedures. This transition is made possible through a process called "modeling". Also Computer Graphics as a separate field of Computer Science makes extensive use of formal theories and procedures of modeling, often derived from related disciplines such as mathematics and physics. Modeling makes different application results consistent, unifying varieties of techniques and formal approaches into a smaller number of models by generalizing and abstracting the knowledge in Computer Graphics. This volume presents a selection of research papers submitted to the conference "Modeling in Computer Graphics: Methods and Applications" held at the Research Area of the National Research Council in Genoa, Italy, on June 28 -July 1, 1993. This meeting was the ideal continuation of a previous conference organized in Tokyo, Japan, in April 1991. The success and the variety of research themes discussed at that meeting suggested to promote a new working conference on methods and applications of modeling to be held in Italy two years later.
This volume is based upon the presentations made at an international conference in London on the subject of 'Fractals and Chaos'. The objective of the conference was to bring together some of the leading practitioners and exponents in the overlapping fields of fractal geometry and chaos theory, with a view to exploring some of the relationships between the two domains. Based on this initial conference and subsequent exchanges between the editors and the authors, revised and updated papers were produced. These papers are contained in the present volume. We thank all those who contributed to this effort by way of planning and organisation, and also all those who helped in the production of thi...
The essential question that fractal dimensions attempt to answer is about the scales in Nature. For a system as non-idealistic and complex as a protein, studying scale-invariance becomes particularly important. Fractal Symmetry of Protein Exterior investigates the diverse facets of the various scales at which we describe protein biophysical and biochemical phenomena. Although these ideas are entirely mathematical, mathematical expositions have been avoided, unless the use of some expressions becomes absolutely obligatory. A first chapter introduce into fractal dimensions, protein exteriors and to methods to study the roughness of surfaces. The main topics covered in the following chapters include: protein-protein interaction interfaces; protein surface-roughness and local shape as well as adhesion on protein and other rough biomolecular surfaces.
The application of fractals in the engineering sciences is evolving swiftly and the editors have turned to Springer for the third time to bring you the latest research emerging from the rapid growth in techniques available for the employment of the ideas of fractals and complexity to a variety of disciplines in and associated with the engineering field. The strong potential of this research can be seen in real industrial situations with recent progress being made in areas such as chemical engineering, internet traffic, physics and finance. Image processing continues to be a major field of application for fractal analysis and is well-represented here. It is important to note that the applicat...
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.
Artificial Intelligence in Economics and Managemetn to Requirements Engineering
Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors.This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics ? from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences