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Young Tableaux in Combinatorics, Invariant Theory, and Algebra
An Anthology of Recent Work
1st Edition
Joseph P.S. Kung
English
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-Richardso... 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.
Applied Nonlinear Analysis
Proceedings of an International Conference on Applied Nonlinear Analysis, Held at the University of Texas at Arlington, Arlington, Texas, April 20–22, 1978
1st Edition
V. Lakshmikantham
English
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.
Mammalian Protein Metabolism
Volume I
1st Edition
H. N. Munro + 1 more
English
Mammalian Protein Metabolism, Volume I focuses on the processes, methodologies, biosynthesis, protein formation, and reactions involved in mammalian protein metabolism. The selection first elaborates on the origin and growth of concepts of protein metabolism, including the development of nitrogen balance as a technique for the study of protein metabolism; identification of proteins as a chemical class; discovery of nitrogen and its biological consequences; and recognition of the importance of nitrogenous compounds. The text then examines protein digestion and absorption in nonruminants and digestion and absorption of nitrogenous compounds in ruminants. Topics include passage of nitrogenous compounds from the rumen; utilization of nitrogenous compounds in the rumen; and endogenous nitrogen entering the reticulum and rumen. The book examines free amino acids and peptides in tissues, metabolic fate of amino acids, protein biosynthesis in mammalian tissues, and metabolism of plasma proteins. Discussions focus on the distribution of proteins between plasma and lymph, interpretation of plasma radioactivities, amino acid activating enzymes, ribosomes and protein synthesis, pathways of amino acid degradation, and synthesis of urea. The selection is a dependable source of data for researchers interested in mammalian protein metabolism.
Functional Equations in Probability Theory
1st Edition
Ramachandran Balasubrahmanyan + 1 more
English
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/identica... 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.
Numerical Methods for Differential Systems
Recent Developments in Algorithms, Software, and Applications
1st Edition
L. Lapidus + 1 more
English
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.
Modern Data Analysis
1st Edition
Robert L. Launer + 1 more
English
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.
Theory of Jets in Ideal Fluids
1st Edition
M. I. Gurevich
English
Theory of Jets in Ideal Fluids focuses on the use of hydrodynamics in the theory of jets in ideal fluids. The publication first offers information on the introduction to the theory of plane and steady jet flows and flow from a vessel. Discussions focus on flow from a rectangular vessel with an orifice at a corner; vessel with a funnel-shaped bottom and Borda's nozzle; flow from the opening between two flat plates; and Kirchhoff's method. The text then examines infinite flow past a polygonal obstacle, flow around curvilinear obstacles, and flow around a body at small cavitation number. Topics include cavitating flow around a circular cylinder; cavitating flow around a thin profile at an arbitrary angle of attack; cavitating flow around a flat plate; Villat's integro-differential equation and the existence and uniqueness of the solution; and flow past a plate with the separation from its upper surface. The book takes a look at the flow of a heavy fluid and the effects of surface tension, axisymmetric flow, jet flow of compressible fluid, and unsteady flows. The publication is a dependable reference for hydrodynamicists wanting to explore the theory of jets in ideal fluids.
Reward and Punishment in Human Learning
Elements of a Behavior Theory
1st Edition
Joseph Nuttin + 1 more
English
Reward and Punishment in Human Learning: Elements of a Behavior Theory provides a different approach to the study of reward and punishment, emphasizing what is learned when a response is rewarded and how does this differ from what is learned when a response is punished. This book discusses the distortions in impressions of success, accuracy in recall of reward and punishment, and determinants of outcome-recall. The role of open-task attitudes in motor learning, effects of isolated punishments, and structural isolation in the closed-task situation are also elaborated. This publication is intended for psychologists, but is also helpful to teachers, executives, prison officials, psychotherapists, and parents.
International Economics Policies and Their Theoretical Foundations
A Source Book
1st Edition
John M. Letiche
English
International Economics Policies and Their Theoretical Foundations: A Source Book provides information pertinent to the increasing differentiation of international economic policies among the developed and developing market economies. This book presents an analysis of fundamental principles of international economics. Organized into nine parts encompassing 33 chapters, this book begins with an overview of the certain elements of the relationship between the developing and the developed countries that the developing countries find particularly irksome. This text then analyzes the determinants of secular changes in the terms of trade and attempt to assess the influence of these changes on the development of a poor country. Other chapters consider the different concepts of the terms of trade, including the gross barter, income, net barter or commodity, and utility terms of trade. The final chapter deals with the economic scenarios for the 1980s. This book is a valuable resource for teachers, students, and government officials.
Methodologies of Pattern Recognition
1st Edition
Satosi Watanabe
English
Methodologies of Pattern Recognition is a collection of papers that deals with the two approaches to pattern recognition (geometrical and structural), the Robbins-Monro procedures, and the implications of interactive graphic computers for pattern recognition methodology. Some papers describe non-supervised learning in statistical pattern recognition, parallel computation in pattern recognition, and statistical analysis as a tool to make patterns emerge from data. One paper points out the importance of cluster processing in visual perception in which proximate points of similar brightness values form clusters. At higher levels of mental activity humans are efficient in clumping complex items into clusters. Another paper suggests a recognition method which combines versatility and an efficient noise-proofness in dealing with the two main problems in the field of recognition. These difficulties are the presence of a large variety of observed signals and the presence of interference. One paper reports on a possible feature selection for pattern recognition systems employing the minimization of population entropy. Electronic engineers, physicists, physiologists, psychologists, logicians, mathematicians, and philosophers will find great rewards in reading the above collection.

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