الصفحة 25
الصفحة 25
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.
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.
Foundations of Quantum Physics
Intended to be used as a textbook for an introductory course in quantum mechanics at the undergraduate level, Foundations of Quantum Physics is also meant to be retained by the student for later use as a reference. The presentation begins with the solution of some basic quantum mechanical problems. The emphasis is on those features of the solutions that are unique to quantum physics. It is only after these aspects of quantum physics are thoroughly discussed that the mathematical formalism of quantum mechanics is presented and related to the previous chapters. Throughout the book, the emphasis is on understanding the concepts and relating them to known phenomena.
Foundations of Object-Oriented Programming Using .NET 2.0 Patterns
Foundations of Object-Oriented Programming Using .NET 2.0 Patterns solves the object-oriented and pattern-programming problem by mixing the two—the book teaches object-oriented concepts using patterns, or a solutions-based approach. The book's material is organized around tasks and patterns, and illustrated through development problems and solutions that include persistence, code efficiency, and good design. This book is of special interest to those who want to learn how to use .NET 2.0 Generics in conjunction with patterns. This unique book is based on the author's lectures, and the information unfolds in a practical manner.
Foundations of fuzzy logic and soft computing ; 12th International Fuzzy Systems Association World Congress, IFSA 2007, Cancun, Mexico, Junw 18-21, 2007, Proceedings
This book comprises a selection of papers from IFSA 2007 on new methods and theories that contribute to the foundations of fuzzy logic and soft computing. methodologies. Soft computing consists of several computing paradigms which can be used to produce powerful intelligent systems for solving real-world problems.
Foundations and novel approaches in data mining
Data-mining has become a popular research topic in recent years for the treatment of the "data rich and information poor” syndrome. Currently, application oriented engineers are only concerned with their immediate problems, which results in an ad hoc method of problem solving. Researchers, on the other hand, lack an understanding of the practical issues of data-mining for realworld problems and often concentrate on issues that are of no significance to the practitioners. In this volume, we hope to remedy problems by (1) presenting a theoretical foundation of data-mining, and (2) providing important new directions for data-mining research. A set of well respected data mining theoreticians were invited to present their views on the fundamental science of data mining.
Foundations and advances in data mining
In this carefully edited volume a theoretical foundation as well as important new directions for data-mining research are presented. It brings together a set of well respected data mining theoreticians and researchers with practical data mining experiences. The presented theories will give data mining practitioners a scientific perspective in data mining and thus provide more insight into their problems, and the provided new data mining topics can be expected to stimulate further research in these important directions.
Fostering transformative change for sustainability in the context of socio-ecological production landscapes and seascapes (SEPLS)
This book is a compilation of case studies that provide useful knowledge and lessons that derive from on-the-ground activities and contribute to policy recommendations, focusing on the relevance of social-ecological production landscapes and seascapes (SEPLS) to “transformative change.” The concept of “transformative change” has been gaining more attention to deal with today’s environmental and development problems, whereas both policy and scientific communities have been increasingly calling for transformative change toward sustainable society. The Intergovernmental Science-Policy Platform on Biodiversity and Ecosystem Services (IPBES) has planned to start the so-called “assessment on transformative change” if approved by the IPBES plenary to be held in 2021
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 and Hybrid Real-Time Systems : Essays in Honour of Dines Bjorner and Zhou Chaochen on the Occasion of Their 70th Birthdays
This paper presents a few of these, including a distributed garbage collection problem, distributed consensus problems for reconciling tree-like data structures, using model-based test case generation, and the use of software model checking in design and development process.
Forging New Frontiers : Fuzzy Pioneers II
The chapters of the book are evolved from presentations made by selected participants at the meeting and organized in two books. The papers include reports from the different front of soft computing in various industries and address the problems of different fields of research in fuzzy logic, fuzzy set and soft computing.
Forest Trees
Genome Mapping and Molecular Breeding in Plants presents the current status of the elucidation and improvement of plant genomes of economic interest. The focus is on genetic and physical mapping, positioning, cloning, monitoring of desirable genes by molecular breeding and the most recent advances in genomics. The series comprises seven volumes: Cereals and Millets; Oilseeds; Pulses, Sugar and Tuber Crops; Fruits and Nuts; Vegetables; Technical Crops; and Forest Trees. Forest trees cover one third of the global land surface, constitute many ecosystems and play a pivotal role in the world economy. Despite their importance in the economy, ecology and environment, genetic analysis and breeding efforts have lagged behind. Presented here are chapters on Populus trees, pines, Fagaceae trees, eucalypts, spruces, Douglas fir and black walnut, and a first-ever detailed review of Cryptomeria japonica. Innovative strategies to address the inherent problems of genome analysis of tree species are thoroughly discussed.
Forest Policy Analysis
This book gives an introduction in the methodology of social sciences. It is a guideline for all those who are interested in the use and protection of the forest. It shows how to identifying political options for solving issues of the forest. The book builds a bridge between the problems concerning forests to the political process.
Forest Inventory : Methodology and Applications
This book has been developed as a forest inventory textbook for students and can also serve as a handbook for practical foresters. The book is divided into four sections. The first section deals mostly with sampling issues. First, we present the basic sampling designs at a fairly non-technical mathematical level. In addition, we present some more advanced sampling issues often needed in forest inventory. Those include for instance problems with systematic sampling, and methods for sampling vegetation or rare populations. Forest inventory also includes issues that are unique to forestry, like problems in measuring sample plots in the field, or utilising sample tree measurements. These issues include highly sophisticated methodology, but we try to present these also such that forestry students can grasp the ideas behind them. Each method is presented with examples. For foresters who need more details, references are given to more advanced scientific papers and books in the fields of statistics and biometrics.
Forest Environments in the Mekong River Basin
Deforestation and forest degradation have continued over a long period of time, and the deterioration of forest environment management services is becoming one of the biggest concerns in the world. Especially in large continental river basins, sel? sh political attitudes and individual interests in some regions predispose other regions to problems downstream and bring about international issues. The Mekong is just such a river basin and its water is the most important resource, interdependent with the forest conditions in the region. The lives of millions of people are sustained by the water of the Mekong River, and mutual understanding on water resource mana- ment is essential in this region. Consequently, appropriate environment management to control water resources is required of each country along with scienti? c knowledge of forest management, including forest hydrology.
Forensic pathology reviews ; Vol. 3
Maintaining the high quality achieved in earlier volumes, leading national and international forensic pathologists provide in Forensic Pathology Reviews, Volume 3 evidence-based accounts of special topics of current interest from various fields of forensic pathology and death-scene investigation. The authors offer cutting-edge insights into the medicolegal investigation of bodies found in water, the forensic aspects of the human immunodeficiency virus (HIV)-1 infection of the central nervous system, deaths in a head-down position, and forensic bitemark analysis. Additional chapters address taphonomic changes in human bodies during the early postmortem interval, arrhythmogenic ventricular dysplasia that produces sudden death in young people, the postmortem diagnosis of death in anaphylaxis, and iatrogenic deaths. The forensic aspects of suicide, murder-suicide, and suicide trends in the United States are also discussed, along with the evaluation of fatal pulmonary thromboembolism and the use of radiology in medicolegal investigations. A comprehensive, up-to-date review of the international literature is given for each chapter. Evidence-based and state-of-the-art, Forensic Pathology Reviews, Volume 3 synthesizes the practical advances made in a variety of important subspecialties of forensic pathology, demonstrating how the latest medical and scientific advances are being applied to solve current problems of high interest to forensic pathologists today.
Forensic pathology of trauma
The practice of forensic pathology includes the collection and analysis of evidence in relation to a corpse in order to establish the cause of death. Knowledge of the cause of death contributes to the determination of the manner of death by medical examiners and coroners, who are occasionally assisted by law enforcement officers. In the process of establishing the cause and manner of death, representatives of various investigative bodies have several responsibilities, including explaining the death to family members, attempting to reduce the risk of similar deaths in the future, and, if applicable, apprehending the individuals who are responsible for the death. The most well-known and popular role of a forensic pathologist is in the inves- gation of cases of suspicious death; however, most medicolegal autopsies involve unexpected deaths that are above suspicion, many of which are caused by trauma (trauma being defined as any physical force or agent that causes bodily harm). The purpose of Forensic Pathology of Trauma: Common Problems for the Pathologist is to provide practical advice and information about the conduct of the forensic autopsy in cases of trauma, and to offer guidance about the analysis of the autopsy findings in these cases.
Forensic neuropathology and associated neurology
Incorporating the most recent literature and state-of-the-art methods, this practical work and atlas covers the entire domain of neuropathology for forensic pathologists as well as for specialists in associated fields. Its concise, direct style provides the reader with succinct and easy-to-find answers to forensic, pathological, pathophysiological, biomechanical, and molecular biology problems.
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.
FM 2008 : Formal methods ; 15th International symposium on formal methods, Turku, Finland, May 26-30, 2008 Proceedings
This book presents the refereed proceedings of the 15th International Symposium on Formal Methods, FM 2008, held in Turku, Finland in May 2008.The 23 revised full papers presented together with 4 invited contributions and extended abstracts of 5 invited industrial presentations were carefully reviewed and selected from 106 submissions. The papers are organized in topical sections on programming language analysis, verification, real-time and concurrency, grand chellenge problems, fm practice, runtime monitoring and analysis, communication, constraint analysis, and design.
