This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrödinger-like equation in Hilbert space. Besides the possibility of unification of many apparently completely different techniques, the “quantal” Hilbert space formalism introduced enables new original methods to be discovered for solving nonlinear problems arising in investigation of ordinary and partial differential equations as well as difference equations. Applications covered in the book include symmetries and first integrals, linearization transformations, Bäcklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.
The Carleman linearization has become a new powerful tool in the study of nonlinear dynamical systems. Nevertheless, there is the general lack of familiarity with the Carleman embedding technique among those working in the field of nonlinear models. This book provides a systematic presentation of the Carleman linearization, its generalizations and applications. It also includes a review of existing alternative methods for linearization of nonlinear dynamical systems. There are probably no books covering such a wide spectrum of linearization algorithms. This book also gives a comprehensive introduction to the Kronecker product of matrices, whereas most books deal with it only superficially. The Kronecker product of matrices plays an important role in mathematics and in applications found in theoretical physics.
In the years since the development and subsequent success of Stone Matrix Asphalt (SMA), a plethora of articles have emerged, scattered throughout various publications. The time is right for a comprehensive resource that collects, examines, and organizes this information and makes it easily accessible. A compilation and distillation of the latest k
Constraint logic programming lies at the intersection of logic programming, optimisation and artificial intelligence. It has proved a successful tool in many areas including production planning, transportation scheduling, numerical analysis and bioinformatics. Eclipse is one of the leading software systems that realise its underlying methodology. Eclipse is exploited commercially by Cisco, and is freely available and used for teaching and research in over 500 universities. This book has a two-fold purpose. It's an introduction to constraint programming, appropriate for one-semester courses for upper undergraduate or graduate students in computer science or for programmers wishing to master the practical aspects of constraint programming. By the end of the book, the reader will be able to understand and write constraint programs that solve complex problems. Second, it provides a systematic introduction to the Eclipse system through carefully-chosen examples that guide the reader through the language and illustrate its power, versatility and utility.
This proceedings volume presents 36 papers given by leading experts during the Third Conference on Function Spaces held at Southern Illinois University at Edwardsville. A wide range of topics in the subject area are covered. Most papers are written for nonexperts, so the book can serve as a good introduction to the topic for those interested in this area. The book presents the following broad range of topics, including spaces and algebras of analytic functions of one and of many variables, $Lp$ spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces and related subjects. Known results, open problems, and new discoveries are featured. At the time of publication, information about the book, the conference, and a list and pictures of contributors are available on the Web at www.siue.edu/MATH/conference.htm.
A material continuum moving axially at high speed can be met in numerous different technical applications. These comprise band saws, web papers during manufacturing, processing and printing processes, textile bands during manufacturing and processing, pipes transporting fluids, transmission belts as well as flat objects moving at high speeds in space. In all these so varied technical applications, the maximum transport speed or the transportation speed is aimed at in order to increase efficiency and optimize investment and performance costs of sometimes very expensive and complex machines and installations. The dynamic behavior of axially moving systems very often hinders from reaching these aims. The book is devoted to dynamics of axially moving material objects of low flexural stiffness that are referred to as webs. Webs are moving at high speed, for example, in paper production the paper webs are transported with longitudinal speeds of up to 3000 m/min. Above the critical speed one can expect various dynamical instabilities mainly of divergent and flutter type. The up-to-date state of investigations conducted in the field of the axially moving system dynamics is presented in the beginning of the book. Special attention is paid on nonlinear dynamic investigations of translating systems. In the next chapters various mathematical models that can be employed in dynamic investigations of such objects and the results of analysis of the dynamic behavior of the axially moving orthotropic material web are presented. To make tracing the dynamic considerations easier, a paper web is the main object of investigations in the book.
Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree. It is of interest to any reader working in the area of Information-Based Complexity. The worst-case settings are analyzed here. Several classes of functions are studied with special emphasis on tight complexity bounds and methods which are close to or achieve these bounds. Each chapter ends with exercises, including companies and open-ended research based exercises.
This book analyses the relationship between history education and nationalism in the context of the dominant structures of collective memory in Poland. Drawing on original qualitative research with history teachers, it explores the ways in which teachers understand the aims of history teaching and how they teach history, with some contesting or negotiating official and hegemonic nationalist memory projects, while others predominantly reproduce or radicalise them. A study of teachers’ tendencies to approach history through the prism of nationalism, this study reveals a view of history lessons as a means of instilling national identity in students, as the past is constructed in nationalist terms and no contradiction is identified in viewing history as both an objective science and a ‘nationalising’ tool. An examination of the means by which a dominant nationalist discourse is reinforced through historical education, Teaching History, Celebrating Nationalism will appeal to scholars of sociology and education with interests in nationalism and memory studies.
Edsger Wybe Dijkstra (1930–2002) was one of the most influential researchers in the history of computer science, making fundamental contributions to both the theory and practice of computing. Early in his career, he proposed the single-source shortest path algorithm, now commonly referred to as Dijkstra’s algorithm. He wrote (with Jaap Zonneveld) the first ALGOL 60 compiler, and designed and implemented with his colleagues the influential THE operating system. Dijkstra invented the field of concurrent algorithms, with concepts such as mutual exclusion, deadlock detection, and synchronization. A prolific writer and forceful proponent of the concept of structured programming, he convincingly argued against the use of the Go To statement. In 1972 he was awarded the ACM Turing Award for “fundamental contributions to programming as a high, intellectual challenge; for eloquent insistence and practical demonstration that programs should be composed correctly, not just debugged into correctness; for illuminating perception of problems at the foundations of program design.” Subsequently he invented the concept of self-stabilization relevant to fault-tolerant computing. He also devised an elegant language for nondeterministic programming and its weakest precondition semantics, featured in his influential 1976 book A Discipline of Programming in which he advocated the development of programs in concert with their correctness proofs. In the later stages of his life, he devoted much attention to the development and presentation of mathematical proofs, providing further support to his long-held view that the programming process should be viewed as a mathematical activity. In this unique new book, 31 computer scientists, including five recipients of the Turing Award, present and discuss Dijkstra’s numerous contributions to computing science and assess their impact. Several authors knew Dijkstra as a friend, teacher, lecturer, or colleague. Their biographical essays and tributes provide a fascinating multi-author picture of Dijkstra, from the early days of his career up to the end of his life.
The book provides a picture of the increasing significance of Central Europe and especially Poland in global production networks, discussing the underlying economic, social, and political factors. The key question it answers is to what extent the growth of production and exports results in industrial upgrading towards the manufacturing of more sophisticated high value-added products, new technologies, and the development of non-production functions, especially design and advanced service capabilities. The book shows that Central European manufacturing no longer exhibits the typical features of production activities in the periphery, in particular low density and diversity, low productivity, narrow specialisation in low value-added activities and poor local linkages, hence limited local value creation and value capture. There is still dependence on foreign-controlled enterprises in several sectors and limited product innovation, which remains a major weakness. Further, the book assesses the social consequences of the ongoing development of manufacturing capabilities in Poland and its impact on employment conditions including the quality of jobs and level of wages. The authors provide insight into relationships between globalisation processes, place-specific attributes, and current economic policies, and as such the book will be of interest to academics, policy makers and other stakeholders interested in both peripheral economies and core countries and representing various international organisations dealing with economic transition and development.
An unappealing characteristic of all real-world systems is the fact that they are vulnerable to faults, malfunctions and, more generally, unexpected modes of - haviour. This explains why there is a continuous need for reliable and universal monitoring systems based on suitable and e?ective fault diagnosis strategies. This is especially true for engineering systems,whose complexity is permanently growing due to the inevitable development of modern industry as well as the information and communication technology revolution. Indeed, the design and operation of engineering systems require an increased attention with respect to availability, reliability, safety and fault tolerance. Thus, it is natural that fault diagnosis plays a fundamental role in modern control theory and practice. This is re?ected in plenty of papers on fault diagnosis in many control-oriented c- ferencesand journals.Indeed, a largeamount of knowledgeon model basedfault diagnosis has been accumulated through scienti?c literature since the beginning of the 1970s. As a result, a wide spectrum of fault diagnosis techniques have been developed. A major category of fault diagnosis techniques is the model based one, where an analytical model of the plant to be monitored is assumed to be available.
In this book Krzysztof Nawratek explores the possibility of a post-capitalist city, and in so doing, reclaims and develops the idea of total mobilisation as originally formulated by Ernst Jünger. Nawratek formulates the idea of ‘accumulation of agency’ the ability to act, to replace the logic of capital accumulation as a main driver of urban development. He argues that this ‘accumulation of agency’ operates already in contemporary cities, and should not be seen as essential element of capitalism, but as a conceptual gateway to a post-capitalist world.
The Flame of Eternity provides a reexamination and new interpretation of Nietzsche's philosophy and the central role that the concepts of eternity and time, as he understood them, played in it. According to Krzysztof Michalski, Nietzsche's reflections on human life are inextricably linked to time, which in turn cannot be conceived of without eternity. Eternity is a measure of time, but also, Michalski argues, something Nietzsche viewed first and foremost as a physiological concept having to do with the body. The body ages and decays, involving us in a confrontation with our eventual death. It is in relation to this brute fact that we come to understand eternity and the finitude of time. Nietzsche argues that humanity has long regarded the impermanence of our life as an illness in need of curing. It is this "pathology" that Nietzsche called nihilism. Arguing that this insight lies at the core of Nietzsche's philosophy as a whole, Michalski seeks to explain and reinterpret Nietzsche's thought in light of it. Michalski maintains that many of Nietzsche's main ideas--including his views on love, morality (beyond good and evil), the will to power, overcoming, the suprahuman (or the overman, as it is infamously referred to), the Death of God, and the myth of the eternal return--take on new meaning and significance when viewed through the prism of eternity.
The work summarizes the current knowledge regarding the controlled reproduction of an emerging aquaculture species, the Eurasian perch (Perca fluviatilis). In great detail it describes and explains the principal of most of the controlled reproductive protocol leading to obtain high quality larvae. The book is primarily intended to be used as a hatchery manual by practicing aquaculturists and laboratory technicians working with this species. On the other hand, it also summarizes the scientific background of the methods applied, therefore, it can serve as a reference for the state-of-the-art in the controlled reproduction of Eurasian perch and other freshwater percid species.
Embedded systems are usually composed of several interacting components such as custom or application specific processors, ASICs, memory blocks, and the associated communication infrastructure. The development of tools to support the design of such systems requires a further step from high-level synthesis towards a higher abstraction level. The lack of design tools accepting a system-level specification of a complete system, which may include both hardware and software components, is one of the major bottlenecks in the design of embedded systems. Thus, more and more research efforts have been spent on issues related to system-level synthesis. This book addresses the two most active research areas of design automation today: high-level synthesis and system-level synthesis. In particular, a transformational approach to synthesis from VHDL specifications is described. System Synthesis with VHDL provides a coherent view of system synthesis which includes the high-level and the system-level synthesis tasks. VHDL is used as a specification language and several issues concerning the use of VHDL for high-level and system-level synthesis are discussed. These include aspects from the compilation of VHDL into an internal design representation to the synthesis of systems specified as interacting VHDL processes. The book emphasizes the use of a transformational approach to system synthesis. A Petri net based design representation is rigorously defined and used throughout the book as a basic vehicle for illustration of transformations and other design concepts. Iterative improvement heuristics, such as tabu search, simulated annealing and genetic algorithms, are discussed and illustrated as strategies which are used to guide the optimization process in a transformation-based design environment. Advanced topics, including hardware/software partitioning, test synthesis and low power synthesis are discussed from the perspective of a transformational approach to system synthesis. System Synthesis with VHDL can be used for advanced undergraduate or graduate courses in the area of design automation and, more specifically, of high-level and system-level synthesis. At the same time the book is intended for CAD developers and researchers as well as industrial designers of digital systems who are interested in new algorithms and techniques supporting modern design tools and methodologies.
very small domain (environment) affects through analytic continuation the whole of Riemann surface, or analytic manifold . Riemann was a master at applying this principle and also the first who noticed and emphasized that a meromorphic function is determined by its 'singularities'. Therefore he is rightly regarded as the father of the huge 'theory of singularities' which is developing so quickly and whose importance (also for physics) can hardly be overe~timated. Amazing and mysterious for our cognition is the role of Euclidean space. Even today many philosophers believe (following Kant) that 'real space' is Euclidean and other spaces being 'abstract constructs of mathematicians, should not be called spaces'. The thesis is no longer tenable - the whole of physics testifies to that. Nevertheless, there is a grain of truth in the 3 'prejudice': E (three-dimensional Euclidean space) is special in a particular way pleasantly familiar to us - in it we (also we mathematicians!) feel particularly 'confident' and move with a sense of greater 'safety' than in non-Euclidean spaces. For this reason perhaps, Riemann space M stands out among the multitude of 'interesting geometries'. For it is: 1. Locally Euclidean, i. e. , M is a differentiable manifold whose tangent spaces TxM are equipped with Euclidean metric Uxi 2. Every submanifold M of Euclidean space E is equipped with Riemann natural metric (inherited from the metric of E) and it is well known how often such submanifolds are used in mechanics (e. g. , the spherical pendulum).
The production and consumption of energy carriers in complex buildings take place within the network of interconnected energy processes. For this reason, a change carried out in one energy process influences other energy processes. Therefore, all balance equations of energy carriers should be investigated as a whole, and energy management of complex buildings creates a large energy system with internal relationships between energy installations and the equipment, as well as external relationships with the environment. Energy Systems of Complex Buildings presents the system approach to the energy-ecological analysis of energy management in complex buildings. Mathematical models of balancing the direct energy consumption, as well as cumulative energy consumption and cumulative emission of noxious substances are based on input-output analysis. Algorithms devoted to system analysis in the exploitation of energy management of complex buildings are included. In the case of ecological analysis, a new approach is presented basing on the idea of thermoecological costs. In this way, two groups of noxious influence (depletion of non-renewable energy resources and emissions of noxious substances) are taken into account. The LCA energy-ecological analysis of complex buildings has also been presented. Students, building designers, energy auditors, and researchers will learn the methodology of evaluating the energy and ecological effects by applying new technologies and devices in buildings, which influence future investigations concerning the energy and ecological analysis of complex buildings.
The material heritage of the colonial era is built into Africa’s cities, from their urban layouts, to their architecture, monuments and street names. This book discusses the varying responses to colonial heritage in West African cities, with a particular focus on the case studies of Praia in Cape Verde, Dakar in Senegal and Banjul in The Gambia. Europeans tended to focus on cities as centres of administration, and they were often both the starting points for settlement and the locations in which power was formally handed over to new African governments. Colonialism in Praia, Dakar and Banjul was abolished at different times, under different colonial powers (Portuguese, French and British) and amongst vastly different conditions of unrest. Based on extensive original research, this book demonstrates that the contemporary approach to the contentious issue of urban colonial heritage is often determined by metropolis-colony relationship before decolonisation, postcolonial diplomatic relations as well as present-day political decisions. The book uncovers a rich relationship between politics and urban space, and between new and old. Combining insights from political sciences, history, critical geography, heritage studies and urban planning, this book will be of interest to a wide range of researchers.
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