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Elsevier

Academic Press

  • Stochastic Differential Equations and Applications

    Volume 2
    • 1st Edition
    • Avner Friedman
    • Z. W. Birnbaum + 1 more
    • English
    Stochastic Differential Equations and Applications, Volume 2 is an eight-chapter text that focuses on the practical aspects of stochastic differential equations. This volume begins with a presentation of the auxiliary results in partial differential equations that are needed in the sequel. The succeeding chapters describe the behavior of the sample paths of solutions of stochastic differential equations. These topics are followed by a consideration of an issue whether the paths can hit a given set with positive probability, as well as the stability of paths about a given manifold and with spiraling of paths about this manifold. Other chapters deal with the applications to partial equations, specifically with the Dirichlet problem for degenerate elliptic equations. These chapters also explore the questions of singular perturbations and the existence of fundamental solutions for degenerate parabolic equations. The final chapters discuss stopping time problems, stochastic games, and stochastic differential games. This book is intended primarily to undergraduate and graduate mathematics students.

  • Stochastic Integrals

    • 1st Edition
    • H. P. McKean
    • Z. W. Birnbaum + 1 more
    • English
    Stochastic Integrals discusses one area of diffusion processes: the differential and integral calculus based upon the Brownian motion. The book reviews Gaussian families, construction of the Brownian motion, the simplest properties of the Brownian motion, Martingale inequality, and the law of the iterated logarithm. It also discusses the definition of the stochastic integral by Wiener and by Ito, the simplest properties of the stochastic integral according to Ito, and the solution of the simplest stochastic differential equation. The book explains diffusion, Lamperti's method, forward equation, Feller's test for the explosions, Cameron-Martin's formula, the Brownian local time, and the solution of dx=e(x) db + f(x) dt for coefficients with bounded slope. It also tackles Weyl's lemma, diffusions on a manifold, Hasminski's test for explosions, covering Brownian motions, Brownian motions on a Lie group, and Brownian motion of symmetric matrices. The book gives as example of a diffusion on a manifold with boundary the Brownian motion with oblique reflection on the closed unit disk of R squared. The text is suitable for economists, scientists, or researchers involved in probabilistic models and applied mathematics.

  • Mathematical Methods of Reliability Theory

    • 1st Edition
    • B. V. Gnedenko + 2 more
    • Z. W. Birnbaum + 1 more
    • English
    Mathematical Methods of Reliability Theory discusses fundamental concepts of probability theory, mathematical statistics, and an exposition of the relationships among the fundamental quantitative characteristics encountered in the theory. The book deals with the set-theoretic approach to reliability theory and the central concepts of set theory to the phenomena. It also presents methods of finding estimates for reliability parameters based on observations and methods of testing reliability hypotheses. Based on mathematical statistics, the book also explains formulation of some selected results. It presents a method that increases the reliability of manufactured articles—redundancy. An important part of product quality control is the standards of acceptance-sampling plans which require simplicity, wide content for flexibility, comprehensive characteristics, and variability. The book also tackles economical and rational methods of sampling inspections, highlighting the need for a correct evaluation of environmental conditions—the factors which predetermine the choice of the inspection method. The book then explains how to estimate the efficiency of the operation of the sampling plan after its selection. The book can be helpful for engineers, mathematicians, economists, or industrial managers, as well as for other professionals who work in the technological, political, research, structural, and physico-chemical areas.

  • Human and Machine Vision

    • 1st Edition
    • Jacob Beck + 2 more
    • English
    Human and Machine Vision provides information pertinent to an interdisciplinary program of research in visual perception. This book presents a psychophysical study of the human visual system, which provides insights on how to model the flexibility required by a general-purpose visual system. Organized into 17 chapters, this book begins with an overview of how a visual display is segmented into components on the basis of textual differences. This text then proposes three criteria for judging representations of shape. Other chapters consider an increased use of machine vision programs as models of human vision and of data from human vision in developing programs for machine vision. This book discusses as well the diversity and flexibility of systems for representing visual information. The final chapter deals with dot patterns and discusses the process of interring orientation information from collections of them. This book is a valuable resource for psychologists, neurophysiologists, and computer scientists.

  • Omega-3 Fatty Acids in Brain and Neurological Health

    • 1st Edition
    • Ronald Ross Watson
    • English
    Research has clearly established a link between omega-3 fatty acids and general health, particularly cardiovascular health. Omega-3 Fatty Acids in Brain and Neurological Health is the first book to focus exclusively on the role of omega-3 fatty acids on general brain health. The articles in this collection illustrate omega-3 fatty acids' importance in longevity, cognitive impairment, and structure and function of the brain's neurons. Research has established links between omega-3 fatty acids and the developing brain, aging, dementia, Alzheimer's disease and multiple sclerosis. This book encompasses some of the most recent research, including the role of omega-3 fatty acid supplements on hippocampal neurogenesis, substantia nigra modulation, migraine headaches, the developing brain in animals, sleep, and neurodegenerative diseases. This collection helps to push research forward toward a complete understanding of omega-3 fatty acids' relationship to brain and neurological health.

  • Applied Dermatotoxicology

    Clinical Aspects
    • 1st Edition
    • Howard I. Maibach + 1 more
    • English
    Applied Dermatotoxicology: Clinical Aspects provides concise, systematic, and state-of-the-art information on the toxicological effects of substances on skin, and recent advances in dermal toxicity testing. This book specifically addresses the clinical presentations borne out of exposure to a variety of chemicals. It begins with an overview of skin biology to provide toxicologists with a basic understanding of its anatomy and physiology. Next it presents a variety of dermatotoxicological effects, as well at the toxic agents that cause them, with color photographs to illustrate these effects. Applied Dermatotoxicology: Clinical Aspects is an essential reference for toxicologists in industry, and for those medical professionals who encounter cases of dermal exposure to toxic agents.

  • Solar Energy in Buildings

    Thermal Balance for Efficient Heating and Cooling
    • 1st Edition
    • Dorota Chwieduk
    • English
    Solar Energy in Buildings presents solar radiation fundamentals and their applications in buildings, supported by theoretical analysis and results of original simulation studies in solar energy availability, collection, and conversion for both active and passive use. In-depth coverage of energy balance and heat transfer in building envelopes is supported by the inclusion of calculations and case studies, while contextualizing within an integrated design approach.

  • International Review of Cell and Molecular Biology

    • 1st Edition
    • Volume 311
    • Kwang W. Jeon
    • English
    International Review of Cell and Molecular Biology presents comprehensive reviews and current advances in cell and molecular biology. Articles address structure and control of gene expression, nucleocytoplasmic interactions, control of cell development and differentiation, and cell transformation and growth. The series has a world-wide readership, maintaining a high standard by publishing invited articles on important and timely topics authored by prominent cell and molecular biologists. Impact factor for 2012: 4.973.

  • Perspectives on Computer Science

    From the 10th Anniversary Symposium at the Computer Science Department, Carnegie-Mellon University
    • 1st Edition
    • Anita K. Jones
    • English
    Perspectives on Computer Science provides information pertinent to the fundamental aspects of computer science. This book discusses the weaknesses frequently found in minicomputers. Organized into 12 chapters, this book begins with an overview of the technological, economic, and human aspects of the environment in which PDP–11 was designed and built. This text then examines the set of techniques for tree searching. Other chapters consider a tutorial on automatic planning systems, with emphasis given to knowledge representation issues. This book discusses as well the classical least-fixedpoint approach toward recursive programs and examines the interplay between time and space determined by a variety of machine models. The final chapter deals with some of the primary influences in contemporary programming language design, namely, programming methodology, program specification, verification, and formal semantic definition techniques. This book is a valuable resource for students and teachers. Computer science theoreticians and mathematicians will also find this book useful.

  • Fourier Analysis in Probability Theory

    • 1st Edition
    • Tatsuo Kawata
    • Z. W. Birnbaum + 1 more
    • English
    Fourier Analysis in Probability Theory provides useful results from the theories of Fourier series, Fourier transforms, Laplace transforms, and other related studies. This 14-chapter work highlights the clarification of the interactions and analogies among these theories. Chapters 1 to 8 present the elements of classical Fourier analysis, in the context of their applications to probability theory. Chapters 9 to 14 are devoted to basic results from the theory of characteristic functions of probability distributors, the convergence of distribution functions in terms of characteristic functions, and series of independent random variables. This book will be of value to mathematicians, engineers, teachers, and students.

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