Anti-Differentiation and the Calculation of Feynman Amplitudes


Book Description

This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews. The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.




Electrochemical Methods


Book Description

Das führende Werk auf seinem Gebiet - jetzt durchgängig auf den neuesten Stand gebracht! Die theoretischen Grundlagen der Elektrochemie, erweitert um die aktuellsten Erkenntnisse in der Theorie des Elektronentransfers, werden hier ebenso besprochen wie alle wichtigen Anwendungen, darunter modernste Verfahren (Ultramikroelektroden, modifizierte Elektroden, LCEC, Impedanzspektrometrie, neue Varianten der Pulsvoltammetrie und andere). In erster Linie als Lehrbuch gedacht, läßt sich das Werk aber auch hervorragend zum Selbststudium und zur Auffrischung des Wissensstandes verwenden. Lediglich elementare Grundkenntnisse der physikalischen Chemie werden vorausgesetzt.




Real-World Reasoning: Toward Scalable, Uncertain Spatiotemporal, Contextual and Causal Inference


Book Description

The general problem addressed in this book is a large and important one: how to usefully deal with huge storehouses of complex information about real-world situations. Every one of the major modes of interacting with such storehouses – querying, data mining, data analysis – is addressed by current technologies only in very limited and unsatisfactory ways. The impact of a solution to this problem would be huge and pervasive, as the domains of human pursuit to which such storehouses are acutely relevant is numerous and rapidly growing. Finally, we give a more detailed treatment of one potential solution with this class, based on our prior work with the Probabilistic Logic Networks (PLN) formalism. We show how PLN can be used to carry out realworld reasoning, by means of a number of practical examples of reasoning regarding human activities inreal-world situations.




Arithmetic and Geometry


Book Description




The Quartz Crystal Microbalance in Soft Matter Research


Book Description

This book describes the physics of the second-generation quartz crystal microbalance (QCM), a fundamental method of analysis for soft matter at interfaces. From a device for measuring film thickness in vacuum, the quartz crystal microbalance (QCM) has in the past two decades evolved into a versatile instrument for analyzing soft matter at solid/liquid and solid/gas interfaces that found applications in diverse fields including the life sciences, material science, polymer research and electrochemistry. As a consequence of this success, the QCM is now being used by scientists with a wide variety of backgrounds to study an impressive diversity of samples, with intricate data analysis methods being elaborated along the way. It is for these practitioners of the QCM that the book is written. It brings across basic principles behind the technique and the data analysis methods in sufficient detail to be educational and in a format that is accessible to anyone with an undergraduate level knowledge of any of the physical or natural sciences. These principles concern the analysis of acoustic shear waves and build on a number of fundamental physical concepts which many users of the technique do not usually come across. They have counterparts in optical spectroscopy, electrical engineering, quantum mechanics, rheology and mechanics, making this book a useful educational resource beyond the QCM itself. The main focus is the physics of QCM, but as the book describes the behavior of the QCM when exposed to films, droplets, polymer brushes, particles, vesicles, nanobubbles and stick-slip, it also offers insight into the behavior of soft matter at interfaces in a more general sense.







An Introduction to Symbolic Dynamics and Coding


Book Description

Symbolic dynamics is a mature yet rapidly developing area of dynamical systems. It has established strong connections with many areas, including linear algebra, graph theory, probability, group theory, and the theory of computation, as well as data storage, statistical mechanics, and $C^*$-algebras. This Second Edition maintains the introductory character of the original 1995 edition as a general textbook on symbolic dynamics and its applications to coding. It is written at an elementary level and aimed at students, well-established researchers, and experts in mathematics, electrical engineering, and computer science. Topics are carefully developed and motivated with many illustrative examples. There are more than 500 exercises to test the reader's understanding. In addition to a chapter in the First Edition on advanced topics and a comprehensive bibliography, the Second Edition includes a detailed Addendum, with companion bibliography, describing major developments and new research directions since publication of the First Edition.




Real-Time Database Systems


Book Description

Despite the growing interest in Real-Time Database Systems, there is no single book that acts as a reference to academics, professionals, and practitioners who wish to understand the issues involved in the design and development of RTDBS. Real-Time Database Systems: Issues and Applications fulfills this need. This book presents the spectrum of issues that may arise in various real-time database applications, the available solutions and technologies that may be used to address these issues, and the open problems that need to be tackled in the future. With rapid advances in this area, several concepts have been proposed without a widely accepted consensus on their definitions and implications. To address this need, the first chapter is an introduction to the key RTDBS concepts and definitions, which is followed by a survey of the state of the art in RTDBS research and practice. The remainder of the book consists of four sections: models and paradigms, applications and benchmarks, scheduling and concurrency control, and experimental systems. The chapters in each section are contributed by experts in the respective areas. Real-Time Database Systems: Issues and Applications is primarily intended for practicing engineers and researchers working in the growing area of real-time database systems. For practitioners, the book will provide a much needed bridge for technology transfer and continued education. For researchers, this book will provide a comprehensive reference for well-established results. This book can also be used in a senior or graduate level course on real-time systems, real-time database systems, and database systems or closely related courses.




Social Traps and the Problem of Trust


Book Description

A 'social trap' is a situation where individuals, groups or organisations are unable to cooperate owing to mutual distrust and lack of social capital, even where cooperation would benefit all. Examples include civil strife, pervasive corruption, ethnic discrimination, depletion of natural resources and misuse of social insurance systems. Much has been written attempting to explain the problem, but rather less material is available on how to escape it. In this book, Bo Rothstein explores how social capital and social trust are generated and what governments can do about it. He argues that it is the existence of universal and impartial political institutions together with public policies which enhance social and economic equality that creates social capital. By introducing the theory of collective memory into the discussion, Rothstein makes an empirical and theoretical claim for how universal institutions can be established.




Just Institutions Matter


Book Description

In this book Bo Rothstein seeks to defend the universal welfare state against a number of important criticisms which it has faced in recent years. He combines genuine philosophical analysis of normative issues concerning what the state ought to do with empirical political scientific research in public policy examining what the state can do. Issues discussed include the relationship between welfare state and civil society, the privatization of social services, and changing values within society. His analysis centres around the importance of political institutions as both normative and empirical entities, and Rothstein argues that the choice of such institutions at certain formative moments in a country's history is what determines the political support for different types of social policy. He thus explains the great variation among contemporary welfare states in terms of differing moral and political logics which have been set in motion by the deliberate choices of political institutions. The book is an important contribution to both philosophical and political debates about the future of the welfare state.