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The AMAST movement was initiated in 1989 with the First International C- ference on Algebraic Methodology and Software Technology (AMAST), held on May 21{23in Iowa City, Iowa,and aimed at setting the development of software technology on a mathematical basis. The virtue of the software technology en- sioned by AMAST is the capability to produce software that has the following properties: (a) it is correct and its correctness can be proved mathematically, (b) it is safe, such that it can be used in the implementation of critical systems, (c) it is portable, i. e. , it is independent of computing platforms and language generations, and (d) it is evolutionary, i. e. , it is self-adaptable and evolves with the problem domain. Ten years later a myriad of workshops, conferences, and researchprogramsthat sharethe goalsof the AMAST movementhaveoccurred. This can be taken as proof that the AMAST vision is right. However, often the myriad of workshops, conferences, and research programs lack the clear obj- tives and the coordination of their goals towards the software technology en- sioned by AMAST. This can be taken as a proof that AMAST is still necessary.
This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras. The last chapter is devoted to some applications of quivers, including Harish-Chandra modules for SL(2). Ample examples are provided and some are revisited with a different approach when new methods are introduced, leading to deeper results. Exercises are spread throughout each chapter. Prerequisites include an advanced course in linear algebra that covers Jordan normal forms and tensor products as well as basic results on groups and rings.
This textbook, in its second edition aims to provide undergraduate students of Electrical Engineering with a unified treatment of all aspects of modern power systems, including generation, transmission and distribution of electric power, load flow studies, economic considerations, fault analysis and stability, high voltage phenomena, system protection, power control, and so on. The text systematically deals with the fundamental techniques in power systems, coupled with adequate analytical techniques and reference to practices in the field. Special emphasis is placed on the latest developments in power system engineering. The book will be equally useful to the postgraduate students specialising in power systems and practising engineers as a reference. NEW TO THIS EDITION • Chapters on Elements of Electric Power Generation and Power System Economics are thoroughly updated. • A new Chapter on Control of Active and Reactive Power is added.
The AIMMS Optimization Modeling book provides not only an introduction to modeling but also a suite of worked examples. It is aimed at users who are new to modeling and those who have limited modeling experience. Both the basic concepts of optimization modeling and more advanced modeling techniques are discussed. The Optimization Modeling book is AIMMS version independent.
1 Introduction Imagine a virtual world with digital creatures that looks like real life, sounds like real life, and even feels like real life. Imagine a virtual world not only with nice three dimensional graphics and animations, but also with realistic physical laws and forces. This virtual world could be familiar, reproducing some parts of our reality, or unfa miliar, with strange “physical” laws and artificial life forms. As a researcher interested in the sciences of complexity, the idea of a conference about virtual worlds emerged from frustration. In the last few years, there has been an increasing interest in the design of artificial environments using image synthesis and virtual reality. The emergence of industry standards such as VRML [1] is an illustra tion of this growing interest. At the same time, the field of Artificial Life has ad dressed and modeled complex phenomena such as self organization, reproduction, development, and evolution of artificial life like systems [2]. One of the most popular works in this field has been Tierra designed by Tom Ray: an environment producing synthetic organisms based on a computer metaphor of organic life in which CPU time is the “energy” resource and memory is the “material” resource [3]. Memory is or ganized into informational patterns that exploit CPU time for self replication. Muta tion generates new forms, and evolution proceeds by natural selection as different creatures compete for CPU time and memory space.
This book is a collective work by many leading scientists, analysts, mathematicians, and engineers who have been working at the front end of reliability science and engineering. The book covers conventional and contemporary topics in reliability science, all of which have seen extended research activities in recent years. The methods presented in this book are real-world examples that demonstrate improvements in essential reliability and availability for industrial equipment such as medical magnetic resonance imaging, power systems, traction drives for a search and rescue helicopter, and air conditioning systems. The book presents real case studies of redundant multi-state air conditioning systems for chemical laboratories and covers assessments of reliability and fault tolerance and availability calculations. Conventional and contemporary topics in reliability engineering are discussed, including degradation, networks, and dynamic reliability, resilience, and multi-state systems, all of which are relatively new topics to the field. The book is aimed at engineers and scientists, as well as postgraduate students involved in reliability design, analysis, and experiments and applied probability and statistics.