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An Architecture for Combinator Graph Reduction

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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.

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Young Tableaux in Combinatorics, Invariant Theory, and Algebra

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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-Richardson 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.

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Study Guide for College Algebra and Trigonometry

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Study Guide for College Algebra and Trigonometry is a supplement material to the basic text, College Algebra and Trigonometry. It is written to assist the student in learning mathematics effectively.  The book provides detailed solutions to exercises found in the text. Students are encouraged to use these solutions to find a way to approach a problem. 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.  Students of algebra and trigonometry in the college level will find the book very useful.

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James W. Snow, Bernard Kolman, Arnold Shapiro

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Robustness in Statistics contains the proceedings of a Workshop on Robustness in Statistics held on April 11-12, 1978, at the Army Research Office in Research Triangle Park, North Carolina. The papers review the state of the art in statistical robustness and cover topics ranging from robust estimation to the robustness of residual displays and robust smoothing. The application of robust regression to trajectory data reduction is also discussed.  Comprised of 14 chapters, this book begins with an introduction to robust estimation, paying particular attention to iteration schemes and error structure of estimators. Sensitivity and influence curves as well as their connection with jackknife estimates are described. The reader is then introduced to a simple analog of trimmed means that can be used for studying residuals from a robust point-of-view; a class of robust estimators (called P-estimators) based on the location and scale-invariant Pitman estimators of location; and robust estimation in the presence of outliers. Subsequent chapters deal with robust regression and its use to reduce trajectory data; tests for censoring of extreme values, especially when population distributions are incompletely defined; and robust estimation for time series autoregressions.  This monograph should be of interest to mathematicians and statisticians.

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Modern Data Analysis contains the proceedings of a Workshop on Modern Data Analysis held in Raleigh, North Carolina, on June 2-4, 1980 under the auspices of the United States Army Research Office. The papers review theories and methods of data analysis and cover topics ranging from single and multiple quantile-quantile (Q-Q) plotting procedures to biplot display and pencil-and-paper exploratory data analysis methods. Projection pursuit methods for data analysis are also discussed.  Comprised of nine chapters, this book begins with an introduction to styles of data analysis techniques, followed by an analysis of single and multiple Q-Q plotting procedures. Problems involving extreme-value data and the  behavior of sample averages are considered. Subsequent chapters deal with the use of smelting in guiding re-expression; geometric data analysis; and influence functions and regression diagnostics. The final chapter examines the use and interpretation of robust analysis of variance for the general non-full-rank linear model. The procedures are described in terms of their mathematical structure, which leads to efficient computational algorithms.  This monograph should be of interest to mathematicians and statisticians.

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Functional Equations in Probability Theory

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Functional Equations in Probability Theory deals with functional equations in probability theory and covers topics ranging from the integrated Cauchy functional equation (ICFE) to stable and semistable laws. The problem of identical distribution of two linear forms in independent and identically distributed random variables is also considered, with particular reference to the context of the common distribution of these random variables being normal.  Comprised of nine chapters, this volume begins with an introduction to Cauchy functional equations as well as distribution functions and characteristic functions. The discussion then turns to the nonnegative solutions of ICFE on R+; ICFE with a signed measure; and application of ICFE to the characterization of probability distributions. Subsequent chapters focus on stable and semistable laws; ICFE with error terms on R+; independent/identically distributed linear forms and the normal laws; and distribution problems relating to the arc-sine, the normal, and the chi-square laws. The final chapter is devoted to ICFE on semigroups of Rd.  This book should be of interest to mathematicians and statisticians.

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Malaria: Volume 3, Immunology and Immunization is a collection of papers dealing with malaria parasites, the methods for measuring the immunological response to plasmodia, and the vertebrates host's immune response to plasmodia. Some papers discuss immunization against sporozoites, against the exoerythrocytic stages of malaria parasites, against asexual blood-inhabiting stages of plasmodia, as well as gamete immunization in malaria. One paper describes various separation methods to isolate malaria parasites and their constituents. Another paper discusses in detail the theory and practice of methods used in measuring antibody responses which occur during plasmodial infections, including the antibody response against sporozoites, exoerythrocytic forms, and in the different blood stages. Another paper explains the vertebrate host's immune response to plasmodial infection as a homeostatic physiological response changing along with the progression of the disease. The changes in the dynamic cellular cascade are different as the disease progresses causing death, than when these lead to recovery. Another paper enumerates the parameters which determine malarial infectiousness from one individual to another such as the time of onset, duration, intensity of the blood infections, as well as the maturity, longevity, and rate of production of gametocytes. Pharmacologists, general medical practitioners, investigators, and laboratory technicians involved in malarial research will find the collection very useful.

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The Boreal Ecosystem presents an overview of the state of knowledge on the boreal forest region of North America, with extensive reference to the boreal regions of Europe and Asia.   Initial sections of this book deal with aspects of the floristic composition and evolutionary history of the boreal vegetation. These introduce subsequent discussions on the processes at work in vegetation, soils, and the atmospherein short, with the boreal forest as an ecosystem, the sum total of the influences of many closely interlaced biotic and physical factors. These include not only plant species that make up the visible vegetation but also nutrients, soil, temperature, rainfall, progression of the seasons, soil microflora, arthropods, insects, and larger animals such as marten, otter, beaver, moose, caribou, bear, and wolf, and man. All are closely linked strands in the web of life, a web apart from, yet dependent on and influencing, the raw physical environment.  This book should serve as an introduction and reference source to its audience: undergraduate and graduate students in the biological and ecological disciplines, research workers in these fields as well as in related areas such as soil science, agronomy, genetics, and climatology; in short, everyone with an interest in boreal ecology.

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Biosynthesis and Secretion of Milk / Diseases

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Lactation: A Comprehensive Treatise, Volume II, Biosynthesis and Secretion of Milk/Diseases, is part of a three-volume treatise containing a total of 28 chapters. The present volume is devoted to the functioning of the mammary gland in the synthesis and secretion of milk. Emphasis has been placed on studies which have described on a biochemical and molecular basis the operation of the pathways and structures involved in the biosynthesis of milk in the functional secretory cells of the mammary gland and the diseases of lactation that can affect them.    The volume is organized into two parts. Part I on the biosynthesis of milk covers topics such as the general metabolism associated with the synthesis of milk; biosynthesis of milk fat and milk proteins; biochemistry of lactose and related carbohydrates; and cell structure relating to the formation and secretion of milk. Part II on diseases of the mammary gland and lactation includes studies on the clinical endocrinology of prolactin, microbial diseases of the mammary gland, ketosis, and mouse mammary tumors.

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Rural Iran in Archaeological Perspective

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Village Ethnoarchaeology: Rural Iran in Archaeological Perspective discusses selected tangible features of the subject area, noting the differences in households and associated material culture. The book comments among settlement variability, the complexities in relationships among population density, settlement age, area, and function. The text also deals with material correlates of sociocultural behavior, spatial organization, architectural variability, regional patterns, and archaeological sampling strategies. The book presents a study based on three sets of contemporary data: (1) from an ethnographic fieldwork on Aliabad in summer 1975; (2) the census and cartographic documents published by the Iranian government; and (3) a corpus of published comparative ethnographic data. The book notes that among the households in Aliabad, which is neither economically stratified nor markedly heterogeneous, economic variations exist. The text suggests that that material diversity and systems involving socioeconomic differentiation can have substantial time depth in this part of the world. The book can prove beneficial for archaeologists, anthropologist, sociologists, and researchers interested in ethnographic accounts of Middle Eastern communities.

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Single Subject Research: Strategies for Evaluating Change presents an overview of strategies used to evaluate change in single subject research, a particular approach referring to time-series paradigms in which each subject is used repeatedly. These strategies include research design, graphical analysis, and statistical tests, and it will be apparent that such designs extend beyond those commonly employed in applied behavioral research.   The book opens with a brief historical perspective of time-series and other small group research. Separate chapters follow covering the analysis of graphic data as being of singular importance in single subject research; the units-of-analysis issue and a nonparametric randomization approach to data analysis; and the growing awareness among researchers that understanding the individual characteristics of interacting subjects may be inadequate for understanding the process that has taken place between them. The final chapter reviews the advantages and disadvantages of the analytic methods presented in the previous chapters.  This volume will be of interest to those individuals actively engaged in educational and psychological experimentation for which single subject research strategies are or may prove to be valuable. Students desiring to supplement their knowledge of a unique and rapidly emerging area of statistical analysis as applied to single subject research designs will also find this volume of importance.

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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.