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Frames and Bases : An Introductory Course

During the last several years, frames have become increasingly popular; they have appeared in a large number of applications, and several concrete constructions of frames of various types have been presented. Most of these constructions were based on quite direct methods rather than the classical sufficient conditions for obtaining a frame. Consequently, there is a need for an updated book on frames, which moves the focus from the classical approach to a more constructive one.

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Fracture Mechanics : With an Introduction to Micromechanics

Concerned with the fundamental concepts and methods of fracture mechanics and micromechanics, Fracture Mechanics primarily focuses on the mechanical description of fracture processes; however, material specific aspects are also discussed. The presentation of continuum mechanical and phenomenological foundations is followed by an introduction into classical failure hypotheses. A major part of the book is devoted to linear elastic and elastic-plastic fracture mechanics. Further subjects are creep fracture, dynamic fracture mechanics, damage mechanics, probabilistic fracture mechanics, failure of thin films and fracture of piezoelectric materials. The book also contains an extensive introduction into micromechanics.

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Fracture Mechanics : Inverse Problems and Solutions

This book presents, in a unified manner, a variety of topics in Continuum and Fracture Mechanics: energy methods, conservation laws, mathematical methods to solve two-dimensional and three-dimensional crack problems.

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Fractional-in-time semilinear parabolic equations and applications

This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. The global regularity problem is then treated separately and the analysis is extended to some systems of fractional kinetic equations, including prey-predator models of Volterra–Lotka type and chemical reactions models, all of them possibly containing some fractional kinetics.

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Fractional order systems and applications in engineering

Covers the fundamentals of fractional calculus together with some analytical and numerical techniques, and provides MATLAB® codes for the simulation of fractional-order control (FOC) systems. The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided.

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Fractals in Biology and Medicine : Beyond Planting Trees

This volume 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, including the structural changes that occur in tumours. It helps develop the concepts, questions and methods required in research on fractal biology and natural phenomena and to evidence the pitfalls of a too simplistic application of these principles in investigating topical subjects of biology and medicine. It discusses present and future applications of fractal geometry, bringing together cellular and molecular biology, engineering, mathematics, physics, medicine and other disciplines and allowing an interdisciplinary vision.

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Fractal Behaviour of the Earth System

In this volume a collection of - pers considers the fractal behavior of the Earth's continental crust. Surface gravity anomalies are known to exhibit power-law spectral behavior under a wide range of conditions and scales. La Manna utilize multifractal models to explain the behavior of well logs from the main KTB borehole in Germany.

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Fourier Series in Control Theory

Fourier Series in Control Theory successfully gathers all of the available theory of these "nonharmonic Fourier series" in one place, combining published results with new results, to create a unique source of such material for practicing applied mathematicians, engineers, and other scientific professionals.Starting with an overview of the problems of observability, controllability, and stabilization of linear systems and their interconnections, the text contains complete proofs along with a short, simplified, presentation of some properties of Bessel functions for the convenience of the reader. Only basic knowledge of functional analysis is required.

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Foundations of software science and computation structures ; 24th International conference, FOSSACS 2021, Held as Part of the European joint conferences on theory and practice of software, ETAPS 2021, Luxembourg City, Luxembourg, March 27 – April 1, 2021, proceedings

This book constitutes the proceedings of the 24th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2021, which was held during March 27 until April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic.

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Foundations of Quantum Theory : From Classical Concepts to Operator Algebras

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory.

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Foundations of plasma physics for physicists and mathematicians

Foundations of Plasma Physics for Physicists and Mathematicians covers the basic physics underlying plasmas and describes the methodology and techniques used in both plasma research and other disciplines such as optics and fluid mechanics.

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Foundations of marketing

Digital Humans: Thriving in an Online World is an insightful, engaging and interdisciplinary discussion of how best to transform your organisation into a nimble, digital enterprise with human beings firmly established at the centre of it. The book presents new and effective ways to make strategic decisions about your company’s future based on our new physical-digital hybrid reality.

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Foundations of generic optimization : Vol.1 : A combinatorial approach to epistasis

This is a comprehensive overview of the basics of fuzzy control, which also brings together some recent research results in soft computing, in particular fuzzy logic using genetic algorithms and neural networks. This book offers researchers not only a solid background but also a snapshot of the current state of the art in this field.

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Foundations of Data Mining and Knowledge Discovery

This volume presents the results of investigations into the foundations of the discipline, and represents the state-of-the-art for much of the current research. This book will prove extremely valuable and fruitful for data mining researchers, no matter whether they would like to uncover the fundamental principles behind data mining, or apply the theories to practical applications.

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Foundations and applications of MIS : A model theory approach

Foundations and Applications of MIS presents a unique systems theory approach to management information system (MIS) development. The development is driven by the need to eliminate ambiguity in specification, design and construction of the application software. Further, the authors show that the considerable effort being expanded nowadays on validation, verification and testing, as required in current software engineering practices, will be reduced. The approach also reinforces the belief that MIS development is independent of software development. The work presents an approach that provides a theoretical foundation for MIS development from the systems theoretic viewpoint along with practical applications ranging from a transaction processing system to a solver system. Both formal systems theory and automatic system generation based on the authors' newly extended Prolog offer a significant increase in the efficiency of specification, design and production of the application software, as well as an increase in the functional reliability of the software produced. The book assumes a working knowledge of elementary set theory, logic, and familiarity with some systems concepts, such as the automaton model.

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Foundation PHP5 for Flash

This latest, completely rewritten, edition again brings together three of the web's hottest technologies—Flash, the server-side language PHP, and the MySQL database system. We've brought things back up to date, using ActionScript 2.0, PHP 5.0, and MySQL 4.1, the book has been designed to be version-neutral. In other words, you can be confident that you're working with the latest standards, but that your applications won't break if deployed on an older server. The book also provides a brief introduction to an alternative database system, SQLite, which is now automatically bundled with PHP 5 and requires no installation.

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Foundation PHP for Dreamweaver 8

In this book, we look specifically at using Dreamweaver's built-in server behaviors to build dynamic web sites using PHP and MySQL, the world's most popular open source server-side language and database server combination, which are both reliable, powerful, and open source (and therefore free to use). This version of Dreamweaver includes more powerful support for PHP and MySQL than ever before, and we'll show you how to make this work for you. No previous experience of PHP or MySQL is necessary to use this book. Examples built throughout the book include a content management system, and an online image gallery. All examples are designed to meet modern usability requirements and be web standards-compliant.

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Foundation ActionScript 3.0 with Flash CS3 and Flex

If you want to create exciting dynamic web sites that will amaze your online audience, then the Flash platform is a great way to go, with it's many features, including powerful graphical and sound and video capabilities. To really harness the power of Flash though, you need to make use of ActionScript to provide dynamic effects, enable user interaction, and manipulate data. ActionScript 3.0, the Flash Platform's scripting language, offers a lot of new and powerful features. ActionScript is now a full-fledged programming language, with complete object-oriented capabilities, improved event handling, sound and video support, drawing capabilities, support for regular expressions, and much more. This book covers all the essential techniques from the ground up, allowing you to get up and running quickly and easily. Starting with the fundamentals, you'll learn about using ActionScript objects, manipulating sound and video, and harnessing the power of regular expressions and XML.

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Fortschritte der Chemie organischer Naturstoffe 89 = Progress in the chemistry of organic natural products

The volumes of this classic series, now referred to simply as "Zechmeister" after its founder, L. Zechmeister, have appeared under the Springer Imprint ever since the series' inauguration in 1938. The volumes contain contributions on various topics related to the origin, distribution, chemistry, synthesis, biochemistry, function or use of various classes of naturally occurring substances ranging from small molecules to biopolymers. Each contribution is written by a recognized authority in his field and provides a comprehensive and up-to-date review of the topic in question. Addressed to biologists, technologists, and chemists alike, the series can be used by the expert as a source of information and literature citations and by the non-expert as a means of orientation in a rapidly developing discipline.

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Fortschritte der Chemie organischer Naturstoffe = Progress in the chemistry of organic natural products 88

The volumes of this classic series, now referred to simply as "Zechmeister" after its founder, L. Zechmeister, have appeared under the Springer Imprint ever since the series' inauguration in 1938. The volumes contain contributions on various topics related to the origin, distribution, chemistry, synthesis, biochemistry, function or use of various classes of naturally occurring substances ranging from small molecules to biopolymers. Each contribution is written by a recognized authority in his field and provides a comprehensive and up-to-date review of the topic in question. Addressed to biologists, technologists, and chemists alike, the series can be used by the expert as a source of information and literature citations and by the non-expert as a means of orientation in a rapidly developing discipline.

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