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Books in Physical sciences and engineering

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    • Theory of Automata

      • 1st Edition
      • July 10, 2014
      • Arto Salomaa
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 2 1 9 7 0
      • eBook
        9 7 8 1 4 8 3 1 5 4 3 9 8
      Theory of Automata deals with mathematical aspects of the theory of automata theory, with emphasis on the finite deterministic automaton as the basic model. All other models, such as finite non-deterministic and probabilistic automata as well as pushdown and linear bounded automata, are treated as generalizations of this basic model. The formalism chosen to describe finite deterministic automata is that of regular expressions. A detailed exposition regarding this formalism is presented by considering the algebra of regular expressions. This volume is comprised of four chapters and begins with a discussion on finite deterministic automata, paying particular attention to regular and finite languages; analysis and synthesis theorems; equivalence relations induced by languages; sequential machines; sequential functions and relations; definite languages and non-initial automata; and two-way automata. The next chapter describes finite non-deterministic and probabilistic automata and covers theorems concerning stochastic languages; non-regular stochastic languages; and probabilistic sequential machines. The book then introduces the reader to the algebra of regular expressions before concluding with a chapter on formal languages and generalized automata. Theoretical exercises are included, along with ""problems"" at the end of some sections. This monograph will be a useful resource for beginning graduate or advanced undergraduates of mathematics.

    • Principles of Semantic Networks

      • 1st Edition
      • July 10, 2014
      • John F. Sowa
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 7 7 1 1
      • eBook
        9 7 8 1 4 8 3 2 2 1 1 4 4
      Principles of Semantic Networks: Explorations in the Representation of Knowledge provides information pertinent to the theory and applications of semantic networks. This book deals with issues in knowledge representation, which discusses theoretical topics independent of particular implementations. Organized into three parts encompassing 19 chapters, this book begins with an overview of semantic network structure for representing knowledge as a pattern of interconnected nodes and arcs. This text then analyzes the concepts of subsumption and taxonomy and synthesizes a framework that integrates many previous approaches and goes beyond them to provide an account of abstract and partially defines concepts. Other chapters consider formal analyses, which treat the methods of reasoning with semantic networks and their computational complexity. This book discusses as well encoding linguistic knowledge. The final chapter deals with a formal approach to knowledge representation that builds on ideas originating outside the artificial intelligence literature in research on foundations for programming languages. This book is a valuable resource for mathematicians.

    • The Theory of Finitely Generated Commutative Semigroups

      • 1st Edition
      • July 10, 2014
      • L. Rédei
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 2 3 5 2 3
      • Hardback
        9 7 8 0 0 8 0 1 0 5 2 0 8
      • eBook
        9 7 8 1 4 8 3 1 5 5 9 4 4
      The Theory of Finitely Generated Commutative Semigroups describes a theory of finitely generated commutative semigroups which is founded essentially on a single "fundamental theorem" and exhibits resemblance in many respects to the algebraic theory of numbers. The theory primarily involves the investigation of the F-congruences (F is the the free semimodule of the rank n, where n is a given natural number). As applications, several important special cases are given. This volume is comprised of five chapters and begins with preliminaries on finitely generated commutative semigroups before turning to a discussion of the problem of determining all the F-congruences as the fundamental problem of the proposed theory. The next chapter lays down the foundations of the theory by defining the kernel functions and the fundamental theorem. The elementary properties of the kernel functions are then considered, along with the ideal theory of free semimodules of finite rank. The final chapter deals with the isomorphism problem of the theory, which is solved by reducing it to the determination of the equivalent kernel functions. This book should be of interest to mathematicians as well as students of pure and applied mathematics.

    • Stochastic Integration

      • 1st Edition
      • July 10, 2014
      • Michel Metivier + 1 more
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 5 3 5 9
      • eBook
        9 7 8 1 4 8 3 2 1 8 7 8 6
      Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Stochastic Integration focuses on the processes, methodologies, and approaches involved in stochastic integration. The publication first takes a look at the Ito formula, stochastic integral equations, and martingales and semimartingales. Discussions focus on Meyer process and decomposition theorem, inequalities, examples of stochastic differential equations, general stochastic integral equations, and applications of the Ito formula. The text then elaborates on stochastic measures, including stochastic measures and related integration and the Riesz representation theorem. The manuscript tackles the special features of infinite dimensional stochastic integration, as well as the isometric integral of a Hubert-valued square integrable martingale, cylindrical processes, and stochastic integral with respect to 2-cylindrical martingales with finite quadratic variation. The book is a valuable reference for mathematicians and researchers interested in stochastic integration.

    • Handbook on the Physics and Chemistry of Rare Earths

      • 1st Edition
      • Volume 45
      • July 10, 2014
      • English
      • Hardback
        9 7 8 0 4 4 4 6 3 2 5 6 2
      • eBook
        9 7 8 0 4 4 4 6 3 3 3 0 9
      The Handbook on the Physics and Chemistry of Rare Earths is an ongoing series covering all aspects of rare earth science—chemistry, life sciences, materials science, and physics. The main emphasis of the Handbook is on rare earth elements [Sc, Y and the lanthanides (La through Lu)] but information is also included, whenever relevant, on the closely related actinide elements. The individual chapters are comprehensive, broad, up-to-date critical reviews written by highly experienced invited experts. The series, which was started in 1978 by Professor Karl A. Gschneidner Jr., combines and integrates both the fundamentals and applications of these elements and now publishes two volumes a year.

    • Strong Approximations in Probability and Statistics

      • 1st Edition
      • July 10, 2014
      • M. Csörgo + 1 more
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 7 8 3 1
      • eBook
        9 7 8 1 4 8 3 2 6 8 0 4 0
      Strong Approximations in Probability and Statistics presents strong invariance type results for partial sums and empirical processes of independent and identically distributed random variables (IIDRV). This seven-chapter text emphasizes the applicability of strong approximation methodology to a variety of problems of probability and statistics. Chapter 1 evaluates the theorems for Wiener and Gaussian processes that can be extended to partial sums and empirical processes of IIDRV through strong approximation methods, while Chapter 2 addresses the problem of best possible strong approximations of partial sums of IIDRV by a Wiener process. Chapters 3 and 4 contain theorems concerning the one-time parameter Wiener process and strong approximation for the empirical and quantile processes based on IIDRV. Chapter 5 demonstrate the validity of previously discussed theorems, including Brownian bridges and Kiefer process, for empirical and quantile processes. Chapter 6 illustrate the approximation of defined sequences of empirical density, regression, and characteristic functions by appropriate Gaussian processes. Chapter 7 deal with the application of strong approximation methodology to study weak and strong convergence properties of random size partial sum and empirical processes. This book will prove useful to mathematicians and advance mathematics students.

    • Space Power Systems Engineering

      • 1st Edition
      • July 10, 2014
      • George C. Szego + 1 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 7 6 9 1 5
      Space Power Systems Engineering is a collection of papers dealing with the requirements for space power systems, system design, component research, the problems of application to spacecraft, and the development of a variety of space electric power systems. Some papers discuss nuclear power systems development, including nuclear reactors, nuclear dynamic systems, nuclear thermoelectric systems, and nuclear thermionic systems. Several papers tackle solar systems development, including solar collectors, solar dynamic systems, solar thermoelectric systems, chemical fuel cell systems, and chemical primary battery systems. A magnetohydrodynamic power system can be utilized for space electric generation. Power conversion or conditioning involves the interface between raw electric power and the on-board consumption of that electric power. One paper cites an application of a potential power system: particularly the engine development in a power package which includes a single-cylinder engine, generator, gas compressor, and recuperator. Some design considerations for the engine include an operation with an 0-H mixture of 2 to 1 obtained either from supercritical tankage or in the form of helium-diluted boil-off gases; a power level of 2-kw average, 3-kw maximum; and an uninterrupted life of 350 hr. The collection can prove immensely beneficial for nuclear engineers, aeronautical engineers, chemists, researchers, or technical designers whose works are related with energy conversion and space power systems.

    • VLSI Electronics: Microstructure

      • 1st Edition
      • Volume 22
      • July 10, 2014
      • Anant G. Sabnis
      • English
      • Paperback
        9 7 8 1 4 9 3 3 0 6 9 8 5
      • eBook
        9 7 8 1 4 8 3 2 9 6 5 8 6
      As integrated cicuits become more complex, with smaller and smaller geometries, much more care must be taken to avoid reliability problems. This practical volume covers a broad spectrum of reliability issues in integrated circuits, from basic concepts to packaging.

    • Machine Vision

      • 1st Edition
      • July 10, 2014
      • E. R. Davies
      • P. G. Farrell + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 7 9 5 4
      • eBook
        9 7 8 1 4 8 3 2 7 5 6 1 1
      Machine Vision: Theory, Algorithms, Practicalities covers the limitations, constraints, and tradeoffs of vision algorithms. This book is organized into four parts encompassing 21 chapters that tackle general topics, such as noise suppression, edge detection, principles of illumination, feature recognition, Bayes’ theory, and Hough transforms. Part 1 provides research ideas on imaging and image filtering operations, thresholding techniques, edge detection, and binary shape and boundary pattern analyses. Part 2 deals with the area of intermediate-level vision, the nature of the Hough transform, shape detection, and corner location. Part 3 demonstrates some of the practical applications of the basic work previously covered in the book. This part also discusses some of the principles underlying implementation, including on lighting and hardware systems. Part 4 highlights the limitations and constraints of vision algorithms and their corresponding solutions. This book will prove useful to students with undergraduate course on vision for electronic engineering or computer science.

    • Probability Inequalities in Multivariate Distributions

      • 1st Edition
      • July 10, 2014
      • Y. L. Tong
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 7 6 1 8
      • eBook
        9 7 8 1 4 8 3 2 6 9 2 1 4
      Probability Inequalities in Multivariate Distributions is a comprehensive treatment of probability inequalities in multivariate distributions, balancing the treatment between theory and applications. The book is concerned only with those inequalities that are of types T1-T5. The conditions for such inequalities range from very specific to very general. Comprised of eight chapters, this volume begins by presenting a classification of probability inequalities, followed by a discussion on inequalities for multivariate normal distribution as well as their dependence on correlation coefficients. The reader is then introduced to inequalities for other well-known distributions, including the multivariate distributions of t, chi-square, and F; inequalities for a class of symmetric unimodal distributions and for a certain class of random variables that are positively dependent by association or by mixture; and inequalities obtainable through the mathematical tool of majorization and weak majorization. The book also describes some distribution-free inequalities before concluding with an overview of their applications in simultaneous confidence regions, hypothesis testing, multiple decision problems, and reliability and life testing. This monograph is intended for mathematicians, statisticians, students, and those who are primarily interested in inequalities.

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