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Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.

Computer science --- Operations research --- Mathematics --- Mathematics. --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Computer mathematics --- Electronic data processing --- Computer science - Mathematics --- Operations research - Mathematics

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Scientific computing is about developing mathematical models, numerical methods and computer implementations to study and solve real problems in science, engineering, business and even social sciences. Mathematical modelling requires deep understanding of classical numerical methods. This essential guide provides the reader with sufficient foundations in these areas to venture into more advanced texts.The first section of the book presents numEclipse, an open source tool for numerical computing based on the notion of MATLAB®. numEclipse is implemented as a plug-in for Eclipse, a leadin

Computer science -- Mathematics. --- Numerical analysis -- Data processing. --- Science -- Data processing. --- Computer science --- Science --- Engineering & Applied Sciences --- Computer Science --- Mathematics --- Data processing --- Mathematics. --- Data processing. --- Electronic data processing --- Computer mathematics

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Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of  basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.

Computer. Automation --- informatica --- differentiaalvergelijkingen --- wiskunde --- Computer science --- Partial differential equations --- Spectral theory (Mathematics) --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Differential equations. --- 517.91 Differential equations --- Differential equations --- Differential equations, partial. --- Computer science. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Mathematics of Computing. --- Mathematics. --- Informatics --- Science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics --- Computer mathematics. --- Partial differential equations. --- Computer science—Mathematics.

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A deterministic extractor is a function that extracts almost perfect random bits from a weak random source. In this research monograph the author constructs deterministic extractors for several types of sources. A basic theme in this work is a methodology of recycling randomness which enables increasing the output length of deterministic extractors to near optimal length. The author's main work examines deterministic extractors for bit-fixing sources, deterministic extractors for affine sources and polynomial sources over large fields, and increasing the output length of zero-error dispersers. This work will be of interest to researchers and graduate students in combinatorics and theoretical computer science.

Mathematical optimization. --- Nonlinear programming. --- Mathematical optimization --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Computer Science --- Algebra --- Computer science. --- Informatics --- Computers. --- Computer science --- Algebraic geometry. --- Combinatorics. --- Computer Science. --- Theory of Computation. --- Mathematics of Computing. --- Algebraic Geometry. --- Mathematics. --- Science --- Information theory. --- Geometry, algebraic. --- Algebraic geometry --- Geometry --- Communication theory --- Communication --- Cybernetics --- Combinatorics --- Mathematical analysis --- Computer science—Mathematics. --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Machine theory --- Calculators --- Cyberspace

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This book contains a collection of thoroughly refereed papers derived from the First IFIP WG 9.7 Conference on Soviet and Russian Computing, held in Petrozavodsk, Russia, in July 2006. The 32 revised papers were carefully selected from numerous submissions; many of them were translated from Russian. They reflect much of the shining history of computing activities within the former Soviet Union from its origins in the 1950s with the first computers used for military decision-making problems up to the modern period where Russian ICT grew substantially, especially in the field of custom-made programming.

Computer science --- Engineering & Applied Sciences --- Computer Science --- Computer systems --- History --- ADP systems (Computer systems) --- Computing systems --- Systems, Computer --- Computer science. --- Computer hardware. --- Software engineering. --- Computers. --- Computer Science. --- History of Computing. --- Computer Hardware. --- Software Engineering/Programming and Operating Systems. --- Theory of Computation. --- Mathematics of Computing. --- Mathematics. --- Electronic systems --- Cyberinfrastructure --- Information theory. --- Communication theory --- Communication --- Cybernetics --- Computer software engineering --- Engineering --- Informatics --- Science --- Computer science—Mathematics. --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Machine theory --- Calculators --- Cyberspace --- Computers --- Software Engineering. --- History. --- Computer mathematics --- Electronic data processing --- Mathematics