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This proceedings is based on research work on formula manipulation and computer algebra, culminating in the design and construction of a formula manipulation machine at RIKEN known as the FLATS project.
The aim of this book is to present important software tools, basic concepts, methods, and highly sophisticated applications of computerized symbolic manipulation to mechanics problems. An overview about general-purpose symbolic software is followed by general guidelines how to develop and implement high-quality computer algebra code. The theoretical background including modeling techniques for mechanical systems is provided which allows for the computer aided generation of the symbolic equation of motion for multibody systems. It is shown how the governing equations for different types of problems in structural mechanics can be automatically derived and how to implement finite element techniques via computer algebra software. Perturbation methods as a very powerful approach for nonlinear problems are discussed in detail and are demonstrated for a number of applications. The applications covered in this book represent some of the most advanced topics in the rapidly growing field of research on symbolic computation.
The origins of the mathematics in this book date back more than two thou sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu clid. The word "algorithm" as well as the key word "algebra" in the title of this book come from the name and the work of the ninth-century scientist Mohammed ibn Musa al-Khowarizmi, who was born in what is now Uzbek istan and worked in Baghdad at the court of Harun al-Rashid's son. The word "algorithm" is actually a westernization of al-Khowarizmi's name, while "algebra" derives from "al-jabr," a term that appears in the title of his book Kitab al-jabr wa'l muqabala, where he discusses symbolic methods for the solution of equations. This close connection between algebra and al gorithms lasted roughly up to the beginning of this century; until then, the primary goal of algebra was the design of constructive methods for solving equations by means of symbolic transformations. During the second half of the nineteenth century, a new line of thought began to enter algebra from the realm of geometry, where it had been successful since Euclid's time, namely, the axiomatic method.
This book gives an overview of the works performed by the Computer and Automation Institute of the Hungarian Academy of Sciences. Since the late 1970s, there was a need for the recognition of the fundamental role of adequate abstractions and higher level conceptual models in all fields of computer applications. The approach presented explores various conceptual descriptive methods of specification processing.
The contents of this book are self-sufficient in the sense that no preliminary knowledge other than elementary set theory is needed and there are no complicated mathematical theorems in the book. A must for those entering the field.
The research detailed in this book has been motivated by the search for a simple parallel digital optical architecture for image processing. The development of a simple unified consistent theory of parallel binary image processing is described and its implementation on digital optical processors is considered. Both theoretical and experimental work are included, and both algorithmic and architectural designs are covered. Also presented are the experimental results of the implementation of a prototype Digital Optical Cellular Image Processor (DOCIP) system used to demonstrate the concept of the DOCIP architecture.
This book focuses on object-oriented concurrent computing, which can be considered a model of concurrent programming, and proposes a new programming language, ConcurrentSmalltalk, which is based on object-oriented concurrent computing. The book also shows the efficiency of object-oriented concurrent computing through the design, implementation, and evaluation of ConcurrentSmalltalk. ConcurrentSmalltalk is designed to be upwardly compatible with Smalltalk-80. In the book, the ConcurrentSmalltalk object model is first proposed. Next, issues which arise from maintaining compatibility with Smalltalk-80 are discussed. Finally, the ConcurrentSmalltalk virtual machine which executes the ConcurrentSmalltalk programs is proposed.
This book contains in easily accessible form all the main ideas of the creator and principal architect of algorithmic information theory. This expanded second edition has added thirteen abstracts, a 1988 Scientific American Article, a transcript of a EUROPALIA 89 lecture, an essay on biology, and an extensive bibliography. Its new larger format makes it easier to read. Chaitin's ideas are a fundamental extension of those of G”del and Turning and have exploded some basic assumptions of mathematics and thrown new light on the scientific method, epistemology, probability theory, and of course computer science and information theory.
This book is currently the only one on this subject containing both introductory material and advanced recent research results. It presents, at one end, fundamental concepts and notations developed in syntactic and structural pattern recognition and at the other, reports on the current state of the art with respect to both methodology and applications. In particular, it includes artificial intelligence related techniques, which are likely to become very important in future pattern recognition.The book consists of individual chapters written by different authors. The chapters are grouped into broader subject areas like “Syntactic Representation and Parsing”, “Structural Representation and Matching”, “Learning”, etc. Each chapter is a self-contained presentation of one particular topic. In order to keep the original flavor of each contribution, no efforts were undertaken to unify the different chapters with respect to notation. Naturally, the self-containedness of the individual chapters results in some redundancy. However, we believe that this handicap is compensated by the fact that each contribution can be read individually without prior study of the preceding chapters. A unification of the spectrum of material covered by the individual chapters is provided by the subject and author index included at the end of the book.