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Academic Press

    • An Architecture for Combinator Graph Reduction

      • 1st Edition
      • May 12, 2014
      • Philip John Koopman
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 1 8 9 0
      • eBook
        9 7 8 1 4 8 3 2 7 0 4 6 3
      An Architecture for Combinator Graph Reduction examines existing methods of evaluating lazy functional programs using combinator reduction techniques, implementation, and characterization of a means for accomplishing graph reduction on uniprocessors, and analysis of the potential for special-purpose hardware implementations. Comprised of eight chapters, the book begins by providing a background on functional programming languages and existing implementation technology. Subsequent chapters discuss the TIGRE (Threaded Interpretive Graph Reduction Engine) methodology for implementing combinator graph reduction; the TIGRE abstract machine, which is used to implement the graph reduction methodology; the results of performance measurements of TIGRE on a variety of platforms; architectural metrics for TIGRE executing on the MIPS R2000 processor; and the potential for special-purpose hardware to yield further speed improvements. The final chapter summarizes the results of the research, and suggests areas for further investigation. Computer engineers, programmers, and computer scientists will find the book interesting.
    • Complex Numbers in Geometry

      • 1st Edition
      • May 12, 2014
      • I. M. Yaglom
      • Henry Booker + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 6 6 3 4
      • eBook
        9 7 8 1 4 8 3 2 6 6 6 3 3
      Complex Numbers in Geometry focuses on the principles, interrelations, and applications of geometry and algebra. The book first offers information on the types and geometrical interpretation of complex numbers. Topics include interpretation of ordinary complex numbers in the Lobachevskii plane; double numbers as oriented lines of the Lobachevskii plane; dual numbers as oriented lines of a plane; most general complex numbers; and double, hypercomplex, and dual numbers. The text then takes a look at circular transformations and circular geometry, including ordinary circular transformations, axial circular transformations of the Lobachevskii plane, circular transformations of the Lobachevskii plane, axial circular transformations, and ordinary circular transformations. The manuscript is intended for pupils in high schools and students in the mathematics departments of universities and teachers' colleges. The publication is also useful in the work of mathematical societies and teachers of mathematics in junior high and high schools.
    • A First Course in Stochastic Processes

      • 1st Edition
      • May 12, 2014
      • Samuel Karlin
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 4 2 4 1
      • eBook
        9 7 8 1 4 8 3 2 6 8 0 9 5
      A First Course in Stochastic Processes focuses on several principal areas of stochastic processes and the diversity of applications of stochastic processes, including Markov chains, Brownian motion, and Poisson processes. The publication first takes a look at the elements of stochastic processes, Markov chains, and the basic limit theorem of Markov chains and applications. Discussions focus on criteria for recurrence, absorption probabilities, discrete renewal equation, classification of states of a Markov chain, and review of basic terminologies and properties of random variables and distribution functions. The text then examines algebraic methods in Markov chains and ratio theorems of transition probabilities and applications. The manuscript elaborates on the sums of independent random variables as a Markov chain, classical examples of continuous time Markov chains, and continuous time Markov chains. Topics include differentiability properties of transition probabilities, birth and death processes with absorbing states, general pure birth processes and Poisson processes, and recurrence properties of sums of independent random variables. The book then ponders on Brownian motion, compounding stochastic processes, and deterministic and stochastic genetic and ecological processes. The publication is a valuable source of information for readers interested in stochastic processes.
    • Categories of Human Learning

      • 1st Edition
      • May 12, 2014
      • Arthur W. Melton
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 4 7 0 8
      • eBook
        9 7 8 1 4 8 3 2 5 8 3 7 9
      Categories of Human Learning covers the papers presented at the Symposium on the Psychology of Human Learning, held at the University of Michigan, Ann Arbor on January 31 and February 1, 1962. The book focuses on the different classifications of human learning. The selection first offers information on classical and operant conditioning and the categories of learning and the problem of definition. Discussions focus on classical and instrumental conditioning and the nature of reinforcement; comparability of the forms of human learning; conditioning experiments with human subjects; and subclasses of classical and instrumental conditioning. The text then takes a look at the representativeness of rote verbal learning and centrality of verbal learning. The publication ponders on probability learning, evaluation of stimulus sampling theory, and short-term memory and incidental learning. Topics include short-term retention, stimulus variation experiments, reinforcement schedules and mean response, systematic interpretations, and methodological approaches. The book then examines the behavioral effects of instruction to learning, verbalizations and concepts, and the generality of research on transfer functions. The selection is highly recommended for psychologists and educators wanting to conduct studies on the categories of human learning.
    • Foundations of Language Development

      • 1st Edition
      • May 12, 2014
      • Eric H. Lenneberg + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 2 5 9 0
      • eBook
        9 7 8 1 4 8 3 2 6 7 8 8 3
      Foundations of Language Development: A Multidisciplinary Approach, Volume 1 provides information pertinent to the important discoveries and issues in the area of language development. This book covers important topics, including language policy, language rehabilitation, and language in the classroom. Organized into three parts encompassing 19 chapters, this volume begins with an overview of the relationship between animal communication and language proper. This text then examines the early metaphysical views as to the origin of speech and explores the probable nature of the language employed by early man. Other chapters consider the growing conception that language is essentially a localizable cerebral function. This book discusses as well the shortcomings of speech as a means of human communication. The final chapter deals with a comparison of child language with deteriorated language in senile dementia. This book is a valuable resource for linguists and readers who are faced with practical decisions concerning language.
    • Mammalian Protein Metabolism

      • 1st Edition
      • May 12, 2014
      • H. N. Munro + 1 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 7 2 9 1 7
      Mammalian Protein Metabolism, Volume II focuses on the processes, methodologies, and reactions involved in mammalian protein metabolism, including toxicities, amino acid imbalance, and digestion and absorption. The selection first offers information on the nutritive value of dietary proteins, amino acid toxicities and imbalances, and protein requirements. Discussions focus on the protein requirements of adults, infants, and children, amino acid requirements, protein requirements in pregnancy, amino acid imbalance, mixed diets, and nutritive value and maintenance. The text then ponders on protein metabolism and requirements in pregnancy and lactation and protein metabolism and requirements in the newborn. The publication examines protein metabolism and requirements in the elderly; anomalies of amino acid metabolism; and physical injury and its effects on protein metabolism. Topics include general disturbance of protein metabolism following physical injury, nature of inflammatory reaction, acquired disturbances of amino acid metabolism, plasma proteins, nitrogen balance, digestion and absorption, and protein withdrawal. The text then elaborates on protein metabolism and tumor growth, experimental protein-calorie deficiency, and the clinical aspects of protein malnutrition. The selection is a dependable source of data for researchers interested in mammalian protein metabolism.
    • Handbook of Differential Equations

      • 1st Edition
      • May 12, 2014
      • Daniel Zwillinger
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 7 5 3 7
      • eBook
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      Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods. Topics covered range from transformations and constant coefficient linear equations to finite and infinite intervals, along with conformal mappings and the perturbation method. Comprised of 180 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.
    • Mathematical Methods

      • 1st Edition
      • May 12, 2014
      • Jacob Korevaar
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 1 3 8 7
      • eBook
        9 7 8 1 4 8 3 2 7 0 7 4 6
      Mathematical Methods, Volume I: Linear Algebra, Normed Spaces, Distributions, Integration focuses on advanced mathematical tools used in applications and the basic concepts of algebra, normed spaces, integration, and distributions. The publication first offers information on algebraic theory of vector spaces and introduction to functional analysis. Discussions focus on linear transformations and functionals, rectangular matrices, systems of linear equations, eigenvalue problems, use of eigenvectors and generalized eigenvectors in the representation of linear operators, metric and normed vector spaces, and delta sequences and convergence and approximation. The text then examines the Lebesgue integral, including approximation of integrable functions and applications, integration of sequences and series, functions of bounded variation and the Stieltjes integral, and multiple integrals. Curves and integrals, holomorphic functions and integrals in the complex plane, and multiple integrals are also discussed. The book is a valuable reference for students in the physical sciences, mathematics students interested in applications, and mathematically oriented engineering students.
    • Applied Nonlinear Analysis

      • 1st Edition
      • May 12, 2014
      • V. Lakshmikantham
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 2 2 2 4
      • eBook
        9 7 8 1 4 8 3 2 7 2 0 6 1
      Applied Nonlinear Analysis contains the proceedings of an International Conference on Applied Nonlinear Analysis, held at the University of Texas at Arlington, on April 20-22, 1978. The papers explore advances in applied nonlinear analysis, with emphasis on reaction-diffusion equations; optimization theory; constructive techniques in numerical analysis; and applications to physical and life sciences. In the area of reaction-diffusion equations, the discussions focus on nonlinear oscillations; rotating spiral waves; stability and asymptotic behavior; discrete-time models in population genetics; and predator-prey systems. In optimization theory, the following topics are considered: inverse and ill-posed problems with application to geophysics; conjugate gradients; and quasi-Newton methods with applications to large-scale optimization; sequential conjugate gradient-restoration algorithm for optimal control problems with non-differentiable constraints; differential geometric methods in nonlinear programming; and equilibria in policy formation games with random voting. In the area of constructive techniques in numerical analysis, numerical and approximate solutions of boundary value problems for ordinary and partial differential equations are examined, along with finite element analysis and constructive techniques for accretive and monotone operators. In addition, the book explores turbulent fluid flows; stability problems for Hopf bifurcation; product integral representation of Volterra equations with delay; weak solutions of variational problems, nonlinear integration on measures; and fixed point theory. This monograph will be helpful to students, practitioners, and researchers in the field of mathematics.
    • Young Tableaux in Combinatorics, Invariant Theory, and Algebra

      • 1st Edition
      • May 12, 2014
      • Joseph P.S. Kung
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 2 0 9 5
      • eBook
        9 7 8 1 4 8 3 2 7 2 0 2 3
      Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work is an anthology of papers on Young tableaux and their applications in combinatorics, invariant theory, and algebra. Topics covered include reverse plane partitions and tableau hook numbers; some partitions associated with a partially ordered set; frames and Baxter sequences; and Young diagrams and ideals of Pfaffians. Comprised of 16 chapters, this book begins by describing a probabilistic proof of a formula for the number f? of standard Young tableaux of a given shape f?. The reader is then introduced to the generating function of R. P. Stanley for reverse plane partitions on a tableau shape; an analog of Schensted's algorithm relating permutations and triples consisting of two shifted Young tableaux and a set; and a variational problem for random Young tableaux. Subsequent chapters deal with certain aspects of Schensted's construction and the derivation of the Littlewood-Richardso... rule for the multiplication of Schur functions using purely combinatorial methods; monotonicity and unimodality of the pattern inventory; and skew-symmetric invariant theory. This volume will be helpful to students and practitioners of algebra.