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Development in Statistics, Volume 1 is a collection of papers that deals with theory and application of parameter estimation in stochastic differential systems, the comparative aspects of the study of ordinary time series, and real multivariate distributions. Some papers discuss covariance analysis of nonstationary time series, nonparametric repeated significance tests, as well as discrete optimal factorial designs for statisticians and investigators of experiments. One paper cites an application of parameter estimation in stochastic differential systems in approximates of stability and control derivatives from flight test data. Another paper cites cases where procedures of ordinary time series (or point processes) have direct analogs in the study of point processes (or ordinary time series). One paper explains the applications of multivariate distributions in simultaneous tests on the equality of eigenvalues toward the covariance matrix, canonical correlation matrix, and a matrix associated with the multivariate analysis of variance. Another paper reviews two types of repeated significance tests, namely, the genuinely distribution-free tests based on a broad class of nonparametric statistics; and the asymptotically distribution-free tests based on a broad class of parametric statistics but having asymptotically nonparametric behavior. Both types can provide a unified solution to a broad class of problems. The collection can be valuable for mathematicians, students, and professors of calculus, statistics, or advanced mathematics.

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Malaria: Volume 2, Pathology, Vector Studies, and Culture is a collection of papers that deals with erythrocyte destruction mechanism in malaria, the pathology of malaria, colonization of laboratory mosquitoes, and their transmission of plasmodia. Other papers describe the culture of the invertebrate stages of plasmodia, of mosquito tissues, and also of erythrocytic and exoerythrocytic stages of plasmodia. One paper constructs a model to show the roles of the different destructive and regenerative processes in the mechanisms of erythrocyte destruction in malaria. Another paper describes the organ changes and physiopathological mechanism connected with Plasmodium infection. These organs concern the spleen, liver, heart, and vascular system. One paper reviews the procedures involved in malaria transmission by mosquitoes, as well as some specialized procedures unique in avian, rodent, simian, and human malarias. Another paper discusses the benefits and drawbacks of a culture medium based on the composition of adult anopheline hemolymph. This medium should lead to a rapid growth rate in primary cultures of mosquito cells and a shorter interval of adaptation for continuous cell lines. The collection can prove useful for pharmacologists, general medical practitioners, investigators, and laboratory technicians involved in mosquito borne diseases or tropical medicine research.

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Proceedings of the Third International Symposium on Multivariate Analysis Held at Wright State University, Dayton, Ohio, June 19-24, 1972

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Multivariate Analysis  III contains the proceedings of the Third International Symposium on Multivariate Analysis held at Wright State University in Dayton, Ohio, on June 19-24, 1972. The papers explore the theory and applications of multivariate analysis and cover areas such as time series and stochastic processes; distribution theory and inference; characteristic functions and characterizations; and design and analysis of experiments. Classification, modeling, and reliability are also discussed.  Comprised of 27 chapters, this volume begins with an introduction to two-dimensional random fields, giving results for a class of Gaussian processes with a multidimensional time parameter. The next chapter deals with concepts of consistency in spectral estimation for multivariate time series and considers the alternative of estimating the spectral distribution function or the spectral density function. Abstract martingales and ergodic theory are also examined, along with methods for assessing multivariate normality; inference and redundant parameters; characterization of the multivariate geometric distribution; and max-min designs in the analysis of variance.   This monograph will be useful to statisticians and probabilists, as well as to scientists in other disciplines who are broadly interested in multivariate analysis.

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Test Bank for Precalculus: Functions & Graphs is a supplementary material for the text, Precalculus: Functions & Graphs. The book is intended for use by mathematics teachers.  The book contains standard tests for each chapter in the textbook. Each set of test focuses on gauging the level of knowledge the student has achieved during the course. The answers for each chapter test and the final exam are found at the end of the book.  Mathematics teachers teaching calculus will find the book extremely useful.

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Bernard Kolman, Arnold Shapiro, Michael L. Levitan

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Discrete Computational Structures describes discrete mathematical concepts that are important to computing, covering necessary mathematical fundamentals, computer representation of sets, graph theory, storage minimization, and bandwidth. The book also explains conceptual framework (Gorn trees, searching, subroutines) and directed graphs (flowcharts, critical paths, information network). The text discusses algebra particularly as it applies to concentrates on semigroups, groups, lattices, propositional calculus, including a new tabular method of Boolean function minimization. The text emphasizes combinatorics and probability. Examples show different techniques of the general process of enumerating objects. Combinatorics cover permutations, enumerators for combinations, Stirling numbers, cycle classes of permutations, partitions, and compositions. The book cites as example the interplay between discrete mathematics and computing using a system of distinct representatives (SDR) problem. The problem, originating from group theory, graph theory, and set theory can be worked out by the student with a network model involving computers to generate and analyze different scenarios. The book is intended for sophomore or junior level, corresponding to the course B3, "Introduction to Discrete Structures," in the ACM Curriculum 68, as well as for mathematicians or professors of computer engineering and advanced mathematics.

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Immunological Tolerance: Mechanisms and Potential Therapeutic Applications documents the proceedings of a conference held at Brook Lodge, Michigan, April 27-May 1, 1974. The conference brought together many of the investigators who have actively contributed to furthering knowledge and understanding of immunological tolerance. It will be immediately clear to the reader that the conference was structured in a way to consider phenomena of tolerance and immune suppression as interrelated entities with a certain degree of emphasis on the possible common cellular mechanisms involved.   The volume contains 36 contributions presented during the seven sessions of the conference. The papers presented in Session I examined T-cell tolerance. The presentations in Session II focused on B cell tolerance. The papers in Sessions III and IV focused on the mechanisms of B cell and T cell tolerance, respectively. Session V dealt with the activity of suppressor cells as a mechanism of tolerance. The papers in Session VI investigated the suppressive activity of antibody and antigen-antibody complexes. In Session VII a final General Discussion was held in order to identify what has been established concerning the phenomenology and mechanisms of specific immunological tolerance, what are the major unresolved issues, and what approaches appear most promising to answer these questions.

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Physiology and Toxicology of Male Reproduction

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Physiology and Toxicology of Male Reproduction is a collection of papers that deals with general reproductive biology and specific aspects of reproductive toxicology, pertaining to the male sex. Some papers discuss testicular organization, reproductive toxicity testing systems, and germ-cell genetic toxicology. The use of in vitro systems by investigators to dissect the male reproductive toxicants can lead to a more scientific approach toward hazard assessment and the development of safer drugs and chemicals. Other papers explain the fundamental reproductive biology of the testis, the neuroendocrine system, the epididymis and accessory sex organs, and spermatozoal evaluation. Toxicological aspects cover the toxicological evaluation of the complete reproductive system, testicular morphology, sperm assessment, and germ-cell mutagenesis. One paper describes alternative methods in toxicologyby using new in vitro systems that should reduce or eliminate the need for tests conducted on animals. In vitro methodology embraces other systems such as from subcellular fractions to isolated intact organs. In relation to target-organ toxicity, the researcher can focus using primary cell cultures. This collection will prove helpful to toxicologists, graduate students and researchers in biology, particularly in male reproductive toxicology and fertility testing.

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Numerical Methods for Differential Systems

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Recent Developments in Algorithms, Software, and Applications

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Numerical Methods for Differential Systems: Recent Developments in Algorithms, Software, and Applications reviews developments in algorithms, software, and applications of numerical methods for differential systems. Topics covered include numerical algorithms for ordinary and partial differential equations (ODE/PDEs); theoretical approaches to the solution of nonlinear algebraic and boundary value problems via associated differential systems; integration algorithms for initial-value ODEs with particular emphasis on stiff systems; finite difference algorithms; and general- and special-purpose computer codes for ODE/PDEs.  Comprised of 15 chapters, this book begins with an introduction to high-order A-stable averaging algorithms for stiff differential systems, followed by a discussion on second derivative multistep formulas based on g-splines; numerical integration of linearized stiff ODEs; and numerical solution of large systems of stiff ODEs in a modular simulation framework. Subsequent chapters focus on numerical methods for mass action kinetics; a systematized collection of codes for solving two-point boundary value problems; general software for PDEs; and the choice of algorithms in automated method of lines solution of PDEs. The final chapter is devoted to quality software for ODEs.  This monograph should be of interest to mathematicians, chemists, and chemical engineers.

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Proceedings of an International Conference on Applied Nonlinear Analysis, Held at the University of Texas at Arlington, Arlington, Texas, April 2022, 1978

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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.

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Psychobiological Aspects of Cognitive Growth

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Psychobiological Aspects of Cognitive Growth elucidates the psychobiological aspects of cognitive development. The goals of this book are limited to a description of what may be defined as ""borderline"" phenomena of cognitive development. These are phenomena that can be observed and measured behaviorally, and also can be conveniently investigated by neurophysiological, genetic, and biological methods.   The book begins with a review of ""basic approaches"" to the problems of psychobiological interaction in cognitive processes. It then presents major theoretical contributions of prominent authors to this subject, namely, Werner's sensoritonic theory, Rothschild's model of the biosemiotic structure of the nervous system, and Piaget's psychobiological interpretations of intellectual growth. This is followed by a general discussion of psychobiological aspects of cognitive development in infancy, and a report on physical correlates of school readiness, including some investigations on relations between static balance ability and reading skill. After a presentation of findings and theoretical considerations related to effects of birth season on physical and mental growth, the final chapter summarizes three studies on the impact of physiological pubertal maturation on mental achievements at adolescence.

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Nonlinear Systems and Applications: An International Conference contains the proceedings of an International Conference on Nonlinear Systems and Applications held at the University of Texas at Arlington, on July 19-23, 1976. The conference provided a forum for reviewing advances in nonlinear systems and their applications and tackled a wide array of topics ranging from abstract evolution equations and nonlinear semigroups to controllability and reachability. Various methods used in solving equations are also discussed, including approximation techniques for delay systems. Most of the applications are in the area of the life sciences.   Comprised of 59 chapters, this book begins with a discussion on monotonically convergent upper and lower bounds for classes of conflicting populations, followed by an analysis of constrained problems. The reader is then introduced to approximation techniques for delay systems in biological models; differential inequalities for Liapunov functions; and stability or chaos in discrete epidemic models. Subsequent chapters deal with nonlinear boundary value problems for elliptic systems; bounds for solutions of reaction-diffusion equations; monotonicity and measurability; and periodic solutions of some integral equations from the theory of epidemics.   This monograph will be helpful to students, practitioners, and researchers in the field of mathematics.

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Comparative Diagnosis of Viral Diseases, Volume III: Vertebrate Animal and Related Viruses Part ADNA Viruses, is devoted to vertebrate animal and related viruses. This book covers in separate chapters the infections caused by each DNA virus family, including slow viruses diseases, as well as the system of Virus Information of the World Health Organization. It provides a comparative description of the principal physicochemical, molecular, structural, genetic, immunological, and biological characteristics of viruses implicated in various diseases, mainly of veterinary importance. With this new concept of comparative diagnosis, the symptoms and the evolution of the diseases are described in detail, as well as the modern methodology for their rapid and specific diagnosis, control, and prevention.  This text will interest all virologists and immunologists working in the area of diagnosis and control of animal virus diseases. In particular, it is addressed to the professionals of veterinary sciences working both in the field and in the laboratory and to students of veterinary schools.

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Additive and Polynomial Representations deals with major representation theorems in which the qualitative structure is reflected as some polynomial function of one or more numerical functions defined on the basic entities. Examples are additive expressions of a single measure (such as the probability of disjoint events being the sum of their probabilities), and additive expressions of two measures (such as the logarithm of momentum being the sum of log mass and log velocity terms). The book describes the three basic procedures of fundamental measurement as the mathematical pivot, as the utilization of constructive methods, and as a series of isomorphism theorems leading to consistent numerical solutions. The text also explains the counting of units in relation to an empirical relational structure which contains a concatenation operation. The book notes some special variants which arise in connection with relativity and thermodynamics. The text cites examples from physics and psychology for which additive conjoint measurement provides a possible method of fundamental measurement. The book will greatly benefit mathematicians, econometricians, and academicians in advanced mathematics or physics.

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David H. Krantz, R Duncan Luce, Patrick Suppes

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Algebra for College Students, Revised and Expanded Edition is a complete and self-contained presentation of the fundamentals of algebra which has been designed for use by the student.  The book provides sufficient materials for use in many courses in college algebra. It contains chapters that are devoted to various mathematical concepts, such as the real number system, sets and set notation, matrices and their application in solving linear systems, and notation of functions. The theory of polynomial equations, formulas for factoring a sum and a difference of cubes, roots of polynomials, and the geometric definition of each conic are likewise included in the book.  College students will find the book very useful and invaluable.

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Idiotypy in Biology and Medicine aims to serve the increasing interest and involvement in the practical aspects of idiotypy in biological systems. The concept of idiotypy has received wide recognition and interest far beyond the area of immunology. Experiments and interpretation of findings, reported here, clearly support the general nature of the idiotype concept in manipulating biological systems to correct pathological conditions or to improve the immune adaptation to environmental factors.  The book is organized into three sections. Section 1 discusses original concepts of idiotypic manipulations. It reviews old and recent data important for the concept of an idiotype network and reports on attempts to deal with the T-cell receptor paradox; explains the immune system in terms of a circular idiotype network that can be demonstrated by sequential immunization; and emphasizes the need for restrictions in network interactions. Section 2 addresses the role and activity of idiotypic and antiidiotypic antibodies in the regulation of the immune system. Section 3 takes the issue of idiotype-antiidiotype out of the realm of the immune system and discusses it as a new principle to analyze and manipulate biological systems in general.

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Heinz Köhler, Jacques Urbain, Pierre-André Cazenave

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Study Guide for College Algebra is a supplemental material for the basic text, College Algebra. Its purpose is to make the learning of college algebra and trigonometry easier and enjoyable.  The book provides detailed solutions to exercises found in the text. Students are encouraged to use the study guide as a learning tool during the duration of the course, a reviewer prior to an exam, a reference book, and as a quick overview before studying a section of the text. The Study Guide and Solutions Manual consists of four major components: basic concepts that should be learned from each unit, what was learned upon completion of each unit, solutions to selected problems, and a short chapter quiz, including the answers, covering the concepts and problem types.  College level students will find the book very useful.

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James W. Snow, Bernard Kolman, Arnold Shapiro

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Elementary Linear Programming with Applications

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Elementary Linear Programming with Applications presents a survey of the basic ideas in linear programming and related areas. It also provides students with some of the tools used in solving difficult problems which will prove useful in their professional career.   The text is comprised of six chapters. The Prologue gives a brief survey of operations research and discusses the different steps in solving an operations research problem. Chapter 0 gives a quick review of the necessary linear algebra. Chapter 1 deals with the basic necessary geometric ideas in Rn. Chapter 2 introduces linear programming with examples of the problems to be considered, and presents the simplex method as an algorithm for solving linear programming problems. Chapter 3 covers further topics in linear programming, including duality theory and sensitivity analysis. Chapter 4 presents an introduction to integer programming. Chapter 5 covers a few of the more important topics in network flows.  Students of business, engineering, computer science, and mathematics will find the book very useful.

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Bernard Kolman, Robert E. Beck, Werner Rheinboldt

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College Algebra, Second Edition is a comprehensive presentation of the fundamental concepts and techniques of algebra.   The book incorporates some improvements from the previous edition to provide a better learning experience. It provides sufficient materials for use in the study of college algebra. It contains chapters that are devoted to various mathematical concepts, such as the real number system, the theory of polynomial equations, exponential and logarithmic 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.

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Analytical Methods for Coal and Coal Products

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Analytical Methods for Coal and Coal Products, Volume III, is the third of a three-volume treatise that aims to provide a detailed presentation of what constitutes the first comprehensive reference work devoted exclusively to the subject of analytical methodology for coal and coal products. The three volumes have been divided into a total of twelve parts, each part containing several chapters devoted to a particular subject. The present volume deals with gases, waste products, by-products, environmental problems, and miscellaneous analytical problems, as well as special instrumental techniques for solving various problems.  Because different aspects of a particular subject are frequently scattered through various chapters in the volumes, cross-references between chapters have been entered. In addition, the subject indexes have been made as detailed as was practical, and the reader will benefit from examination of pertinent subjects in the indexes of all three volumes. A careful reading of these volumes will show that definitive solutions are not yet available in a number of instances. There is a clear need for continued research on the fundamentals of analysis of coal and coal products, and the development of reliable and accurate analytical instrumentation, including on-stream applications.

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Topology, Volume I deals with topology and covers topics ranging from operations in logic and set theory to Cartesian products, mappings, and orderings. Cardinal and ordinal numbers are also discussed, along with topological, metric, and complete spaces. Great use is made of closure algebra.   Comprised of three chapters, this volume begins with a discussion on general topological spaces as well as their specialized aspects, including regular, completely regular, and normal spaces. Fundamental notions such as base, subbase, cover, and continuous mapping, are considered, together with operations such as the exponential topology and quotient topology. The next chapter is devoted to the study of metric spaces, starting with more general spaces, having the limit as its primitive notion. The space is assumed to be metric separable, and this includes problems of cardinality and dimension. Dimension theory and the theory of Borei sets, Baire functions, and related topics are also discussed. The final chapter is about complete spaces and includes problems of general function theory which can be expressed in topological terms. The book includes two appendices, one on applications of topology to mathematical logics and another to functional analysis.  This monograph will be helpful to students and practitioners of algebra and mathematics.