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Academic Press

  • Theories of Probability

    An Examination of Foundations
    • 1st Edition
    • Terrence L. Fine
    • English
    Theories of Probability: An Examination of Foundations reviews the theoretical foundations of probability, with emphasis on concepts that are important for the modeling of random phenomena and the design of information processing systems. Topics covered range from axiomatic comparative and quantitative probability to the role of relative frequency in the measurement of probability. Computational complexity and random sequences are also discussed. Comprised of nine chapters, this book begins with an introduction to different types of probability theories, followed by a detailed account of axiomatic formalizations of comparative and quantitative probability and the relations between them. Subsequent chapters focus on the Kolmogorov formalization of quantitative probability; the common interpretation of probability as a limit of the relative frequency of the number of occurrences of an event in repeated, unlinked trials of a random experiment; an improved theory for repeated random experiments; and the classical theory of probability. The book also examines the origin of subjective probability as a by-product of the development of individual judgments into decisions. Finally, it suggests that none of the known theories of probability covers the whole domain of engineering and scientific practice. This monograph will appeal to students and practitioners in the fields of mathematics and statistics as well as engineering and the physical and social sciences.

  • An Introduction to Stochastic Modeling

    • 1st Edition
    • Howard M. Taylor + 1 more
    • English
    An Introduction to Stochastic Modeling, Revised Edition provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

  • An Introduction to Analytic Geometry and Calculus

    • 1st Edition
    • A. C. Burdette
    • English
    An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus. This book is composed of 14 chapters and begins with an overview of the fundamental relations of the coordinate system. The next chapters deal with the fundamentals of straight line, nonlinear equations and graphs, functions and limits, and derivatives. These topics are followed by a discussion of some applications of previously covered mathematical subjects. This text also considers the fundamentals of the integrals, trigonometric functions, exponential and logarithm functions, and methods of integration. The final chapters look into the concepts of parametric equations, polar coordinates, and infinite series. This book will prove useful to mathematicians and undergraduate and graduate mathematics students.

  • Crime, the Police and Criminal Statistics

    An Analysis of Official Statistics for England and Wales Using Econometric Methods
    • 1st Edition
    • R. A. Carr-Hill + 1 more
    • Peter H. Rossi
    • English
    Crime, The Police and Criminal Statistics: An Analysis of Official Statistics for England and Wales Using Econometric Methods presents a study of the relation between official criminal statistics and the activities which they are supposed to reflect. The book is comprised of three sections: the theoretical background, the empirical argument, and certain implications of the study. The first section discusses the criminological, sociological, and economic theories under consideration in the light of available evidence, and their relevance to the countries and period of the study: England and Wales in the 1960s. The second section describes the techniques employed and the interpretations of the obtained results. The final section considers the examination of the use of official criminal statistics in discussions of policy; and the review of models of suitable or optimum strategies of punishment and deterrence. The monograph will be of interest to criminologists, economists, sociologists, and statisticians.

  • The Architecture of Supercomputers

    Titan, a Case Study
    • 1st Edition
    • Daniel P. Siewiorek + 1 more
    • English
    The Architecture of Supercomputers: Titan, A Case Study describes the architecture of the first member of an entirely new computing class, the graphic supercomputing workstation known as Titan. This book is divided into seven chapters. Chapter 1 provides an overview of the Titan architecture, including the motivation, organization, and processes that created it. A survey of all the techniques to speed up computation is presented in Chapter 2. Chapter 3 reviews the issue of particular benchmarks and measures, while Chapter 4 analyzes a model of a concurrency hierarchy extending from the register set to the entire operating system. The architecture of Titan graphics supercomputer and its implementation are considered in Chapter 5. Chapter 6 examines the performance of Titan in terms of the various information flow data rates. The last chapter is devoted to the actual performance on benchmark kernels and how the architecture and implementation affect performance. This publication is recommended for architects and engineers designing processors and systems.

  • Analysis and Computation of Fixed Points

    Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin—Madison, May 7-8, 1979
    • 1st Edition
    • Stephen M. Robinson
    • English
    Analysis and Computation of Fixed Points contains the proceedings of a Symposium on Analysis and Computation of Fixed Points, held at the University of Wisconsin-Madison on May 7-8, 1979. The papers focus on the analysis and computation of fixed points and cover topics ranging from paths generated by fixed point algorithms to strongly stable stationary solutions in nonlinear programs. A simple reliable numerical algorithm for following homotopy paths is also presented. Comprised of nine chapters, this book begins by describing the techniques of numerical linear algebra that possess attractive stability properties and exploit sparsity, and their application to the linear systems that arise in algorithms that solve equations by constructing piecewise-linear homotopies. The reader is then introduced to two triangulations for homotopy fixed point algorithms with an arbitrary grid refinement, followed by a discussion on some generic properties of paths generated by fixed point algorithms. Subsequent chapters deal with topological perturbations in the numerical study of nonlinear eigenvalue and bifurcation problems; general equilibrium analysis of taxation policy; and solving urban general equilibrium models by fixed point methods. The book concludes with an evaluation of economic equilibrium under deformation of the economy. This monograph should be of interest to students and specialists in the field of mathematics.

  • Cell Separation

    Methods and Selected Applications
    • 1st Edition
    • Thomas G. Pretlow + 1 more
    • English
    Cell Separation: Methods and Selected Application, Volume 3 provides information pertinent to the design and application of methods for the separation of cells. This book covers a variety of topics, including lymphoma cells, lectins, purification of cells from lung tumors, macrophage electrophoretic migration test, tissue heterogeneity, and characteristics of cultured cells. Organized into 13 chapters, this volume begins with an overview of the approaches in examining particular cell-surface properties and their role in the metastatic process. This text then examines lectins as important tools for identification and separation of cells, particularly of lymphocyte subpopulations. Other chapters consider the various methods that have been used to disperse rat pituitary tissue into single cells. This book discusses as well the different methods for isolating type II cells. The final chapter deals with the significance of having cell cultures homogeneous for a given cell type. This book is a valuable resource for cell biologists, experimental oncologists, hematologists, immunologists, and endocrinologists.

  • The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations

    • 1st Edition
    • A. K. Aziz
    • English
    The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus. This symposium relates considerable numerical analysis involved in research in both theoretical and practical aspects of the finite element method. This text is organized into three parts encompassing 34 chapters. Part I focuses on the mathematical foundations of the finite element method, including papers on theory of approximation, variational principles, the problems of perturbations, and the eigenvalue problem. Part II covers a large number of important results of both a theoretical and a practical nature. This part discusses the piecewise analytic interpolation and approximation of triangulated polygons; the Patch test for convergence of finite elements; solutions for Dirichlet problems; variational crimes in the field; and superconvergence result for the approximate solution of the heat equation by a collocation method. Part III explores the many practical aspects of finite element method. This book will be of great value to mathematicians, engineers, and physicists.

  • Evaluating the Quality of Learning

    The SOLO Taxonomy (Structure of the Observed Learning Outcome)
    • 1st Edition
    • John B. Biggs + 1 more
    • Allen J. Edward
    • English
    Educational Psychology Series: Evaluating the Quality of Learning: The SOLO Taxonomy (Structure of the Observed Learning Outcome) focuses on the approaches, methodologies, and techniques employed in the valuation of the quality of learning. The publication first offers information on the quality and quantity of learning and origin and description of the Structure of the Observed Learning Outcome (SOLO) taxonomy. Discussions focus on general intellectual development and the growth of quality; some assumptions and applications of stage theory; from developmental stage to levels of learning quality; and general intellectual development and the growth of quality. The text then examines the teaching of history, elementary mathematics, English, and geography. Topics include interpreting a map and drawing conclusions, explaining a natural phenomenon, appreciation of poetry, implications for the teaching of history, English, and mathematics, numbers and operations, and general application of SOLO to history. The manuscript takes a look at modern languages, place of the taxonomy in instructional design, and some methodological considerations. Concerns include alternative formats for obtaining SOLO responses, instructional processes, curriculum analysis, remediation, and teacher intentions. The publication is a vital source of data for educators interested in the SOLO taxonomy.

  • Computer Methods in Operations Research

    • 1st Edition
    • Arne Thesen
    • J. William Schmidt
    • English
    Computer Methods in Operations Research focuses on the computational methods used in operations research. Topics covered range from list processing to sorting and searching, networks, and critical path methods. Resource-constrained scheduling methods and linear programming methods are also discussed, along with the branch and bound concept. Comprised of 11 chapters, this book begins with a review of some of the basic principles that make a software development effort successful, emphasizing the need to keep things simple and understandable. The reader is then introduced to the basic principles of list processing, searching, and sorting; the concept of networks and several matrix- and list-oriented methods for representing networks in the computer; and the critical path method. Subsequent chapters deal with more complex programs and algorithms to handle scheduling of activities under precedence and resource restrictions; the resource-constrained scheduling problem, formulated both in an exact (using integer programming) and in a heuristic manner; the design of algorithms for the solution of large linear programming problems; and the application of list processing concepts to the development of branch and bound algorithms for solution of combinatorial optimization problems. The book also considers the design of random number generators and discrete event simulation programming before concluding with a description of two programming languages, GPSS and WIDES, for use in simulation modeling. This monograph will be of value to students and practitioners of operations research and industrial engineering.

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