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Frontiers in Number Theory, Physics, and Geometry I : On Random Matrices, Zeta Functions, and Dynamical Systems
This book presents pedagogical contributions on selected topics relating Number Theory, Theoretical Physics and Geometry. The parts are composed of long self-contained pedagogical lectures followed by shorter contributions on specific subjects organized by theme. Most courses and short contributions go up to the recent developments in the fields; some of them follow their author?s original viewpoints. There are contributions on Random Matrix Theory, Quantum Chaos, Non-commutative Geometry, Zeta functions, and Dynamical Systems. The chapters of this book are extended versions of lectures given at a meeting entitled Number Theory, Physics and Geometry, held at Les Houches in March 2003, which gathered mathematicians and physicists.
Frei Otto: Forschen, Bauen, Inspirieren = A Life of Research, Construction and Inspiration - DETAIL Special
Provides insights on the key aspects of his work. At its heart was the search for natural designs and an exploration of form-finding and self-development processes. As such he created a whole universe of ideas using membrane, net and convertible roofs with umbrellas, grid shells, and pneumatic structures. The book highlights his key works and how his ideas were adopted throughout the world. Read more...
Free Energy and Self-Interacting Particles
This book examines a system of parabolic-elliptic partial differential eq- tions proposed in mathematical biology, statistical mechanics, and chemical kinetics. In the context of biology, this system of equations describes the chemotactic feature of cellular slime molds and also the capillary formation of blood vessels in angiogenesis. There are several methods to derive this system. One is the biased random walk of the individual, and another is the reinforced random walk of one particle modelled on the cellular automaton. In the context of statistical mechanics or chemical kinetics, this system of equations describes the motion of a mean field of many particles, interacting under the gravitational inner force or the chemical reaction
Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectra of Fractal Strings
Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Key Features The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings Complex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula The method of Diophantine approximation is used to study self-similar strings and flows Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions Throughout new results are examined. The final chapter gives a new definition of fractality as the presence of nonreal complex dimensions with positive real parts, and discusses several open problems and extensions.
Fractal Dimensions of Networks
The goal of the book is to provide a unified treatment of fractal dimensions of sets and networks. Since almost all of the major concepts in fractal dimensions originated in the study of sets, the book achieves this goal by first clearly presenting, with an abundance of examples and illustrations, the theory and algorithms for sets, and then showing how the theory and algorithms have been applied to networks. For example, the book presents the classical theory and algorithms for the box counting dimension for sets, and then presents the box counting dimension for networks. All the major fractal dimensions are studied, e.g., the correlation dimension, the information dimension, the Hausdorff dimension, the multifractal spectrum, as well as many lesser known dimensions. Algorithm descriptions are accompanied by worked examples, with many applications of the methods presented.
Foundations of Trusted Autonomy
This book establishes the foundations needed to realize the ultimate goals for artificial intelligence, such as autonomy and trustworthiness. Aimed at scientists, researchers, technologists, practitioners, and students, it brings together contributions offering the basics, the challenges and the state-of-the-art on trusted autonomous systems in a single volume. The book is structured in three parts, with chapters written by eminent researchers and outstanding practitioners and users in the field. The first part covers foundational artificial intelligence technologies, while the second part covers philosophical, practical and technological perspectives on trust. Lastly, the third part presents advanced topics necessary to create future trusted autonomous systems. The book augments theory with real-world applications including cyber security, defence and space.
Foundations of learning classifier systems
This volume brings together recent theoretical work in Learning Classifier Systems (LCS), which is a Machine Learning technique combining Genetic Algorithms and Reinforcement Learning. It includes self-contained background chapters on related fields (reinforcement learning and evolutionary computation) tailored for a classifier systems audience and written by acknowledged authorities in their area - as well as a relevant historical original work by John Holland.
Foundation XML for Flash
XML is a completely platform-agnostic data medium. Flash is able to make use of XML data, which is very useful when creating rich Internet applications. It allows you to populate Flash web interfaces with data from almost any source that supports XML as a data medium, be it databases, raw XML files, or more excitingly, .NET applications, Web Services, and even Microsoft Office applications like Excel and Word! In this book, Sas Jacobs first introduces XML itself—what it is, its syntax, its associated technologies (such as CSS and XSLT,) and how to get XML out of your applications in a format Flash can use. Then, she shows how to use the XML object to stream XML data into Flash, and how to use the XMLConnector component and XML Sockets to build advanced Flash/XML applications.
Foundation models for natural language processing : pre-trained language models integrating media
Covers basic natural language processing models, pre-trained language models BERT, GPT, and sequence-to-sequence converters, as well as the concepts of self-attention and context-sensitive embedding. Various approaches to improving these models are then discussed, such as expanding the pre-training parameters, increasing the length of input texts, or incorporating additional knowledge. An overview of the best performing models is then provided for about twenty application areas, e.g., question answering, translation, story generation, dialogue systems, image generation from text, etc. For each application area, the strengths and weaknesses of existing models are discussed, and an overview of further developments is provided. In addition, links to freely available code are provided. The concluding chapter summarizes the economic opportunities, risk mitigation, and potential developments of AI.
Formal Modelling in Electronic Commerce
Advances in automation for electronic commerce require improved understanding and formalization of the objects, processes, and policies of commerce itself. These include business objects such as bills of lading and contracts; processes such as workflows and trade procedures; and policies covering such problems as contract or procedure validation and strategic behaviour. This book is about theory, formalization, and proof-of-concept implementation of these and related matters. In addition to presenting state-of-the-art results, the book places this work in the context of nearly twenty years of developments in formal modelling for electronic commerce. A comprehensive bibliography and index are provided.
Formal Methods for Components and Objects ; 6th International Symposium, FMCO 2007, Amsterdam, The Netherlands, October 24-26, 2007, Revised Lectures
Formal methods have been applied successfully to the verification of medium-sized programs in protocol and hardware design.This book presents 12 revised papers submitted after the symposium by the speakers of each of the following European IST projects: the IST-FP6 project Mobius, developing the technology for establishing trust and security for the next generation of global computers; the IST-FP6 project SelfMan on self management for large-scale distributed systems based on structured overlay networks and components
Formal Concept Analysis ; 6th International Conference, ICFCA 2008, Montreal, Canada, February 25-28, 2008. Proceedings
Formal Concept Analysis (FCA) is a mathematical theory of concepts and c- ceptual hierarchyleadingto methods for conceptually analyzing data and kno- edge. The theory itselfstronglyreliesonorder and lattice theory,whichhasbeen studied by mathematicians over decades. FCA proved itself highly relevant in several applications from the beginning , and, over the last years, the range of application shaskept growing. The mainreasonfor this comesfromthe fact that our modern society has turned into an “information” society. After years and years of using computers, companies realized they had stored gigantic amounts of data.
Foreign Exchange Rate Forecasting using Artificial Neural Networks
In this monograph, the authors try to apply artificial neural networks (ANNs) to exchange rates forecasting. Selection of the ANN approach for - change rates forecasting is because of ANNs’ unique features and powerful pattern recognition capability. Unlike most of the traditional model-based forecasting techniques, ANNs are a class of data-driven, self-adaptive, and nonlinear methods that do not require specific assumptions on the und- lying data generating process. These features are particularly appealing for practical forecasting situations where data are abundant or easily available, even though the theoretical model or the underlying relationship is - known. Furthermore, ANNs have been successfully applied to a wide range of forecasting problems in almost all areas of business, industry and engineering.
Forecasting and Assessing Risk of Individual Electricity Peaks
The overarching aim of this open access book is to present self-contained theory and algorithms for investigation and prediction of electric demand peaks. A cross-section of popular demand forecasting algorithms from statistics, machine learning and mathematics is presented, followed by extreme value theory techniques with examples.
Foot-and-Mouth Disease Virus
The chapters in this volume provide an account of the present knowledge and understanding of Foot and Mouth disease virus pathogenesis and global epidemiology, the detailed structure of the virus itself and the properties of its RNA genome. Also considered are the immune response of the host and the state of the art in vaccine production, and the nature of virus evolution.
Food Anxiety in Globalising Vietnam
This book approaches the anxieties inherent in food consumption and production in Vietnam. The country’s rapid and recent economic integration into global agro-food systems and consumer markets spurred a new quality of food safety concerns, health issues and distrust in food distribution networks that have become increasingly obscured. This edited volume further puts the eating body centre stage by following how gendered body norms, food taboos, power structures and social differentiation shape people’s ambivalent relations with food. It uncovers Vietnam’s trajectories of agricultural modernisation against which consumers and producers manoeuvre amongst food self-sufficiency, security and abundance. It provides social science perspectives on anxieties related to food and surrounding discourses that travel between the local and the global, the individual and society and into the body. Therefore, the book’s lens of food anxiety matters for social theory and for understanding the embeddedness and discontinuities of food globalizations in Vietnam and beyond.
Focused Access to XML Documents ; 6th International Workshop of the Initiative for the Evaluation of XML Retrieval, INEX 2007 Dagstuhl Castle, Germany, December 17-19, 2007. Selected Papers
This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Workshop of the Initiative for the Evaluation of XML Retrieval, INEX 2007, held at Dagstuhl Castle, Germany, in December 2007.The 37 revised full papers presented were carefully reviewed and selected for presentation at the workshop from 50 initial submissions. The papers are organized in an ad hoc track and 6 topical sections on book search, XML-mining, entity ranking, interactive, link-the-wiki, and multimedia.
Focus on bacterial biofilms
Bacterial biofilms are colonies of bacterial cells embedded in their self-produced matrix composed of polysaccharides, DNA, and proteins. They protect bacterial cells against antibiotics, antibacterial agents, soaps and detergents, and shear stress. Some of the most common biofilm-associated infections in humans include urinary tract infections, infection of wounds and surgical sites, diabetic foot ulcers, dental caries (tooth decay) and gingivitis (gum inflammation), ventilator-associated infections, sinusitis, microbial keratitis, secondary infection related to Covid-19 and other viral infections, and so on. Bacterial resistance to common antibiotics (e.g., penicillin, gentamycin, erythromycin, ciprofloxacin, etc.) is driving us to a catastrophic failure of our health systems. Strategies to develop novel antibacterial agents and technology must be prioritized to combat and eradicate biofilms and their associated challenges. This book provides a comprehensive overview of biofilms with chapters on bacterial virulence factors, quorum sensing in bacteria, antimicrobial resistance in bacteria, strategies to develop new antibacterial agents, and much more.
First course on fuzzy theory and applications
This basic textbook gives an easily accessible introduction to Fuzzy theory and its applications. It provides basic and concrete concepts of the field in a self-contained, condensed and understandable style. This "First Course on Fuzzy Theory and Applications" includes numerous examples, descriptive illustrations and figures of the basic concepts, as well as exercises at the end of each chapter. The author has long time experience in teaching on fuzzy theory and its applications and continuously developed and summarized his didactic lecture notes into this book. This book can be used in introductory graduate and undergraduate courses in Fuzziness and Soft Computing and is recommendable to students, scientists, engineers, or professionals in the field for self-study.
Finite Element Methods for Engineering Sciences : Theoretical Approach and Problem Solving Techniques
This self-tutorial offers a concise yet thorough grounding in the mathematics necessary for successfully applying FEMs to practical problems in science and engineering. The enlarged English-language edition, based on the original French, also contains a chapter on the approximation steps derived from the description of nature with differential equations and then applied to the specific model to be used.
