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Academic Press

  • Theory of Differential Equations

    • 1st Edition
    • I. M. Gel'fand + 1 more
    • English
    Generalized Functions, Volume 3: Theory of Differential Equations focuses on the application of generalized functions to problems of the theory of partial differential equations. This book discusses the problems of determining uniqueness and correctness classes for solutions of the Cauchy problem for systems with constant coefficients and eigenfunction expansions for self-adjoint differential operators. The topics covered include the bounded operators in spaces of type W, Cauchy problem in a topological vector space, and theorem of the Phragmén-Lindelöf type. The correctness classes for the Cauchy problem, systems that are Petrovski?-correct, and generalized eigenfunctions of self-adjoint operators are also reviewed. This text likewise covers the differentiation of functionals of strongly and weakly bounded variation. This volume is beneficial to students and researchers interested in the theory of differential equations.

  • Cis-Trans Isomeric Carotenoids, Vitamins A and Arylpolyenes

    • 1st Edition
    • L. Zechmeister
    • English
    Cis-Trans Isomeric Carotenoids, Vitamins A, and Arylpolyenes focuses on the reactions, characteristics, and properties of cis-trans isomeric carotenoids, vitamins A, and arylpolyenes. The publication first takes a look at carotenoids, number, types, and properties of cis carotenoids, and cis-trans isomerism and UV spectra. Discussions focus on simple theoretical interpretation of spectral phenomena, spectra at extremely low temperatures, relative stabilities, melting points, rotatory power, and historical remarks on the stereoisomerism of polyenes. The text then ponders on the preparation of cis carotenoids by direct rearrangement of the all-trans form and total synthesis and naturally occurring cis and polycis carotenoids. The manuscript examines some general remarks on configurational assignments, configurational assignments in certain stereoisomeric sets, and lower-molecular weight carotenoid-carboxyli... acids. Topics include bixin set, stereoisomeric sets with two aromatic terminal groups, stereoisomeric sets with one hydroaromatic and one aliphatic terminal group, configuration and infrared spectrum, and stereoisomeric types. The manuscript also elaborates on vitamins A and retinenes, cumulenes with aromatic terminal groups, and polyene azines. The publication is a dependable source of information for researchers interested in cis-trans isomeric carotenoids, vitamins A, and arylpolyenes.

  • Multi-Objective Programming in the USSR

    • 1st Edition
    • Elliot R. Lieberman
    • Gerald J. Lieberman + 1 more
    • English
    Statistical Modeling and Decision Science: Multi-Objective Programming in the USSR provides information pertinent to multi-objective programming that has emerged as an increasingly active area of research in the fields of applied mathematics, operations research, and decision and management science. This book traces and analyzes the development of Soviet multi-objective programming. Organized into 24 chapters, this book begins with an overview of the research institutes most actively involved in multi-objective programming research. This text then presents an analytical framework for grouping and classifying the diverse Soviet methods. Other chapters consider the methods and then evaluated according to the significance and soundness of its basic approach and its kinship to other methods. This book discusses as well some significant Soviet theoretical research and several distinctive approaches proposed by Soviet researchers for comparing the effectiveness of alternative interactive multi-objective programming method. The final chapter deals with distinctive Soviet tendencies in multi-objective research. This book is a valuable resource for economists.

  • An Introduction to Probability and Mathematical Statistics

    • 1st Edition
    • Howard G. Tucker
    • Ralph P. Boas
    • English
    An Introduction to Probability and Mathematical Statistics provides information pertinent to the fundamental aspects of probability and mathematical statistics. This book covers a variety of topics, including random variables, probability distributions, discrete distributions, and point estimation. Organized into 13 chapters, this book begins with an overview of the definition of function. This text then examines the notion of conditional or relative probability. Other chapters consider Cochran's theorem, which is of extreme importance in that part of statistical inference known as analysis of variance. This book discusses as well the fundamental principles of testing statistical hypotheses by providing the reader with an idea of the basic problem and its relation to practice. The final chapter deals with the problem of estimation and the Neyman theory of confidence intervals. This book is a valuable resource for undergraduate university students who are majoring in mathematics. Students who are majoring in physics and who are inclined toward abstract mathematics will also find this book useful.

  • Environmental Regulation of Microbial Metabolism

    Proceedings of the Federation of European Microbiological Societies Symposium Held in Pushchino, USSR 1–7 June 1983
    • 1st Edition
    • I. S. Kulaev + 2 more
    • English
    Environmental Regulation of Microbial Metabolism contains the proceedings of the Federation of European Microbiological Societies Symposium held in Pushchino, USSR, on June 1-7, 1983. The symposium provided a forum for reviewing the environmental regulation of the metabolism of autotrophic and heterotrophic microorganisms; regulation of the biogenesis of cell walls and other structures in prokaryotic and eukaryotic microorganisms; and regulation of the secretion of macromolecules and transport of ions and solutes across microbial membranes. Comprised of 52 chapters, this book begins with an overview of some aspects of environmental regulation of microbial phosphorus metabolism, followed by a discussion on the role of covalent interconversion of enzymes in the regulation of microbial metabolism. Subsequent chapters explore the role and regulation of inorganic pyrophosphatase in bacteria; the central metabolism of pseudomonads degrading xenobiotics; the role of nickel enzymes in anaerobic metabolism; and the oxidation of aromatic compounds by microalgae. The book also considers carbon metabolism in phototrophic bacteria under different conditions of growth, along with the transport of solutes and metabolites in prokaryotes and eukaryotes. This monograph will be helpful to a wide range of specialists in the fields of biochemistry, physiology, molecular biology, and biotechnology.

  • Properties and Operations

    • 1st Edition
    • I. M. Gel'fand + 1 more
    • English
    Generalized Functions, Volume 1: Properties and Operations provides a systematic development of the theory of generalized functions and problems in analysis connected with it. This book focuses on the concept of a convenient link that connects many aspects of analysis, functional analysis, theory of differential equations, representation theory of locally compact Lie groups, and theory of probability and statistics. This volume is essentially devoted to algorithmic questions of the theory, covering many applications of generalized functions to various problems of analysis. The topics discussed include the local properties of generalized functions, differentiation as a continuous operation, and Fourier Transforms of test functions. The wave equation in space of odd dimension, derivation of Green's theorem, and reducible singular points are also described. This publication is a good reference for mathematicians, researchers, and students concerned with generalized functions.

  • The Alkaloids

    Chemistry and Physiology
    • 1st Edition
    • R. H. F. Manske + 1 more
    • English
    The Alkaloids: Chemistry and Physiology, Volume III reviews the chemistry of the alkaloids. This book discusses the chemistry of the cinchona alkaloids, alkaloids of Angostura bark, quinazoline alkaloids, and stereochemistry of the C15-lupin alkaloids. The tables of physical constants of the jaborandi alkaloids, pharmacology of the ?-phenethylamines, and synthesis of the ephedra bases are also elaborated. This publication likewise covers the extraction and industrial preparation of the alkaloids, minor alkaloids, furoquinoline group, and alkaloids of Dichroa febrifuga. Other topics include pilocarpine and isopilocarpine, veratrum alkaloids, and chemistry of the ?-phenethylamines found in plants. This volume is a good reference for chemists and specialists conducting work on alkaloids.

  • College Algebra and Trigonometry

    • 2nd Edition
    • Bernard Kolman + 1 more
    • English
    College Algebra and Trigonometry, Second Edition provides a comprehensive approach to the fundamental concepts and techniques of college algebra and trigonometry. The book incorporates improvements from the previous edition to provide a better learning experience. It contains chapters that are devoted to various mathematical concepts, such as the real number system, the theory of polynomial equations, trigonometric functions, and the geometric definition of each conic section. Progress checks, warnings, and features are inserted. Every chapter contains a summary, including terms and symbols with appropriate page references; key ideas for review to stress the concepts; review exercises to provide additional practice; and progress tests to provide self-evaluation and reinforcement. The answers to all Review Exercises and Progress Tests appear in the back of the book. College students will find the book very useful and invaluable.

  • The Alkaloids

    Chemistry and Physiology
    • 1st Edition
    • R. H. F. Manske
    • English
    The Alkaloids: Chemistry and Physiology, Volume IX focuses on alkaloid chemistry. This book discusses the occurence of known aporphines in plants, reductions with sodium in liquid ammonia, alkaloids related to corydaline, and quaternary alkaloids containing an N-methyl group. The phthalideisoquinolin... alkaloids, alkaloids containing one diphenyl ether linkage, trisisobutylisoquino... alkaloids, and alkaloids of Platydesma campanulata are also elaborated. This publication likewise covers the stereochemistry of the ring nitrogen in the tropanes, pharmacologically active synthetic tropanium salts, and alkaloids of apocynaceae. Other topics include the isolation and purification of salamandra alkaloids, biological activity of tylophora alkaloids, and structure of himbosine. This volume is valuable to chemists and researchers interested in alkaloids and their structures.

  • Introductory Statistics for Psychology

    The Logic and the Methods
    • 1st Edition
    • Gustav Levine
    • English
    Introductory Statistics for Psychology: The Logic and the Methods presents the concepts of experimental design that are carefully interwoven with the statistical material. This book emphasizes the verbalization of conclusions to experiments, which is another means of communicating the reasons for statistical analyses. Organized into 17 chapters, this book begins with an overview of alternative ways of stating the conclusions from a significant interaction. This text then presents the analysis of variance and introduces the summation sign and its use. Other chapters consider frequency distribution as any presentation of data that offers the frequency with which each score occurs. This book discusses as well the differences in and among people, which are a constant source of variability in test scores, and in most other measurements of people. The final chapter deals with the working knowledge of arithmetic and elementary algebra. This book is a valuable resource for students and psychologists.

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