The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book.Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others.For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas.

The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book.Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others.For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas.

This book is concerned with recent advances in fitness landscapes. The concept of fitness landscapes originates from theoretical biology and refers to a framework for analysing and visualizing the relationships between genotypes, phenotypes and fitness. These relationships lay at the centre of attempts to mathematically describe evolutionary processes and evolutionary dynamics. The book addresses recent advances in the understanding of fitness landscapes in evolutionary biology and evolutionary computation. In the volume, experts in the field of fitness landscapes present these findings in an integrated way to make it accessible to a number of audiences: senior undergraduate and graduate students in computer science, theoretical biology, physics, applied mathematics and engineering, but also researcher looking for a reference or/and entry point into using fitness landscapes for analysing algorithms. Also practitioners wanting to employ fitness landscape techniques for evaluating bio- and nature-inspired computing algorithms can find valuable material in the book. For teaching proposes, the book could also be used as a reference handbook.

Zweifelsohne das Referenzwerk zu diesem weitgefächerten und dynamischen Fachgebiet. The International Encyclopedia of Geograph ist das Ergebnis einer einmaligen Zusammenarbeit zwischen Wiley und der American Association of Geographers (AAG), beleuchtet und definiert Konzepte, Forschung und Techniken in der Geographie und zugehörigen Fachgebieten. Die Enzyklopädie ist als Online-Ausgabe und 15-bändige farbige Printversion erhältlich. Unter der Mitarbeit einer Gruppe von Experten aus aller Welt ist ein umfassender und fundierter Überblick über die Geographie in allen Erdteilen entstanden. - Enthält mehr als 1.000 Einträge zwischen 1.000 und 10.000 Wörtern, die verständlich in grundlegende Konzepte einführen, komplexe Themen erläutern und Informationen zu geographischen Gesellschaften aus aller Welt enthalten. - Entstanden unter der Mitarbeit von mehr als 900 Wissenschaftlern aus über 40 Ländern und bietet damit einen umfassenden und fundierten Überblick über die Geographie in allen Erdteilen. - Deckt das Fachgebiet umfassend ab und berücksichtigt auch die Richtungen Humangeographie, Physikalische Geographie, geographische Informationswissenschaften und -systeme, Erdwissenschaften und Umweltwissenschaften. - Führt interdisziplinäre Sichtweisen zu geographischen Themen und Verfahren zusammen, die auch für die Sozialwissenschaften, Geisteswissenschaften, Naturwissenschaften und Medizin von Interesse sind. - Printausgabe durchgängig in Farbe mit über 1.000 Illustrationen und Fotos. - Online-Ausgabe wird jährlich aktualisiert.

Fractals are infinite, complex patterns used in modeling physical and dynamic systems. Fractal theory research has increased across different fields of applications including engineering science, health science, and social science. Recent literature shows the vital role fractals play in digital image analysis, specifically in biomedical image processing. Fractal graphics is an interdisciplinary field that deals with how computers can be used to gain high-level understanding from digital images. Integrating artificial intelligence with fractal characteristics has resulted in new interdisciplinary research in the fields of pattern recognition and image processing analysis. Intelligent Fractal-Based Image Analysis: Application in Pattern Recognition and Machine Vision provides insights into the current strengths and weaknesses of different applications as well as research findings on fractal graphics in engineering and science applications. The book aims to improve the exchange of ideas and coherence between various core computing methods and highlight the relevance of related application areas for advanced as well as novice-user application. The book presents an in-depth look at core concepts, methodological aspects, and advanced feature opportunities, focusing on major real time applications in engineering science and health science. The book will appeal to researchers, data scientists, industry professionals, and graduate students in the fields of fractal graphics and its related applications. - Investigates advanced fractal theories spanning neural networks, fuzzy logic, machine learning, deep learning, and hybrid intelligent systems in solving pattern recognition problems - Explores the application of fractal theories to a wide range of medical image processing modalities - Presents case studies that illustrate the application and integration of fractal theories into intelligent computing in the resolution of important pattern recognition and machine vision problems

Biosensors are finding increasing applications in different areas. Over the last few years the areas where biosensors may be used effectively has increased dramatically. This book like the previous four books on analyte-receptor binding and dissociation kinetics by this author addresses the often neglected area. The kinetics of binding and dissociation in solution to appropriate receptors immobilized on biosensor surfaces occurs under diffusional limitations on structured surfaces. The receptors immobilized on the biosensor surface contribute to the degree of heterogeneity on the sensor chip surface.The fractal analysis examples presented throughout the book provide a convenient means to make quantitative the degree of heterogeneity present on the sensor surface, and relates it to the binding and dissociation rate coefficients. The fractal dimension is a quantitative measure of the degree of heterogeneity present on the biosensor surface. The book emphasizes medially-oriented examples. The detection of disease-related analytes is also emphasized. The intent being that if intractable and insidious diseases are detected earlier, they will be controlled better, eventually leading to a better prognosis. Chapter 3 is a new chapter that emphasizes enhancing the relevant biosensor performance parameters such as sensitivity, stability, selectivity, response time, etc.As usual, as done in previous books by this author, the last chapter provides an update of the economics involved in biosensors, and the difficulties encounters in starting-up a biosensor company.- Modelling of binding and dissociation kinetics of analyte-receptor reactions on biosensor surfaces: provides physical insights into these reactions occurring on biosensor surfaces. Very few researchers even attempt to analyze the kinetics of these types of reactions.- Fractal analysis used to model the binding and dissociation kinetics: original and unique approach.- Economic analysis provided in the last chapter: helps balance the book; besides providing much-needed information not available in the open literature.- Emphasis on improving biosensor performance parameters: helps make biosensors better.- Empahsis on medically-related analytes: helps in prognosis of diseases.

Biosensors are portable and convenient devices that permit the rapid and reliable analysis of substances. They are increasingly used in healthcare, drug design, environmental monitoring and the detection of biological, chemical, and toxic agents. Fractal Binding and Dissociation Kinetics for Different Biosensor Applications focuses on two areas of expanding biosensor development that include (a) the detection of biological and chemical pathogens in the atmosphere, and (b) biomedical applications, especially in healthcare. The author provides numerous examples of practical uses, particularly biomedical applications and the detection of biological or chemical pathogens. This book also contains valuable information dedicated to the economics of biosensors. After reading this book, the reader will gain invaluable insight into how biosensors work and how they may be used more effectively.* No other book provides a detailed kinetic analysis of the binding and dissociation reactions occurring on the biosensor surfaces* Packed with examples of practical uses of biosensors* Includes chapters dedicated to the economics of biosensors

This monograph deals with the structural aspects of transport processes of gases, physical ageing and thermo-oxidative degradation of polymers in detail. Fractal analysis, cluster models of the polymer structurea ‘s amorphous state as well as irreversible aggregation models are used as main structural models. It is shown that the polymer structure

This book focuses on universal nonlinear dynamics model of mesoscale eddies. The results of this book are not only the direct-type applications of pure mathematical limit cycle theory and fractal theory in practice but also the classic combination of nonlinear dynamic systems in mathematics and the physical oceanography. The universal model and experimental verification not only verify the relevant results that are obtained by Euler's form but also, more importantly, are consistent with observational numerical statistics. Due to the universality of the model, the consequences of the system are richer and more complete. The comprehensive and systematic mathematical modeling of mesoscale eddies is one of the major features of the book, which is particularly suited for readers who are interested to learn fractal analysis and prediction in physical oceanography. The book benefits researchers, engineers, and graduate students in the fields of mesoscale eddies, fractal, chaos, and other applications, etc.