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A valuable reference for researchers and practitioners in dynamic game theory, it covers a broad range of topics and applications, including repeated and stochastic games, differential dynamic games, optimal stopping games, and numerical methods and algorithms for solving dynamic games.
However, despite physical complexities, soil mechanics has developed on the assumption that a soil can be seen as a continuum, or better yet as a medium obtained by the superposition of two and sometimes three con and the other fluids, which occupy the same portion of tinua, one solid space.
The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Readers will find here an accessible introduction to Radon transform theory, an elegant topic in integral geometry.
Focuses on generalizing the notion of variation in a set of numbers to the notion of variation in a set of probability distributions. The work collects known ways of comparing stochastic matrices, and then generalizes these, and establishes the relations of implication or equivalence among some.
This work integrates traditional statistical data analysis with new computational simulation and experimental capabilities. It explains modern data analysis and demonstrates computational experiments, developing an understanding of the effect of random phenomena using Mathematica.
In the fall of 1992 I was invited by Professor Changho Keem to visit Seoul National University and give a series of talks.
Mathematically speaking, the phenomenon can be described as follows: the self-adjoint operators which are used as Hamiltonians for these systems have a ten dency to have pure point spectrum, especially in low dimension or for large disorder.
Provides a distillation of real variable theory with a focus on the subject's significant applications to differential equations and Fourier analysis. This work is suitable for physicists, engineers, economists, and others who wish to use the fruits of real analysis but who do not necessarily have the time to appreciate the theory.
Suitable for electrical engineers, computer engineers and graduate students specializing in analog VLSI design. This book is a useful resource for analog circuit designers for their work.
Filling a gap in the literature, this book is a presentation of results in the field of PID controllers, including their design, analysis, and synthesis. It places emphasis on the efficient computation of the set of PID controllers achieving stability and various performance specifications.
This book is a self-contained presentation of the background and progress of the study of time-delay systems, a subject with broad applications to a number of areas.
Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor that we shall call polar fluids, and include, as a special case, the well-established Navier-Stokes model of classical fluids that we shall call ordinary fluids.
Modeling and Applied Mathematics Modeling the behavior of real physical systems by suitable evolution equa tions is a relevant, maybe the fundamental, aspect of the interactions be tween mathematics and applied sciences.
and made insignificant in practice, by selecting for study simple kinds of ex periences which are devoid of emotional content and which can be tested for reliability.
The subject of numerical methods in finance has recently emerged as a new discipline at the intersection of probability theory, finance, and numerical analysis. Although numerical methods in finance have been studied intensively in recent years, many theoretical and practical financial aspects have yet to be explored.
Fuzzy logic methodology has proven effective in dealing with complex nonlinear systems containing uncertainties that are otherwise difficult to model.
This self-contained book is an up-to-date description of the basic theory of molecular gas dynamics and its various applications. In this work, the ghost effect and non-Navier-Stokes effects are demonstrated for typical examples-Benard and Taylor-Couette problems-in the context of a new framework.
Based upon the proceedings of the First International Conference on the History of General Relativity, held at Boston University's Osgood Hill Conference Center, North Andover, Massachusetts, 8-11 May 1986, this volume brings together essays by twelve prominent historians and philosophers of science and physicists. The topics range from the development of general relativity (John Norton, John Stachel) and its early reception (Carlo Cattani, Michelangelo De Maria, Anne Kox), through attempts to understand the physical implications of the theory (Jean Eisenstaedt, Peter Havas) and to quantize it (Peter G. Bergmann), to elaborations of the theory into a unified theory of electromagnetism and gravitation (Vladimir P. Vizgin, Michel Biezunski), and considerations of its cosmological extensions (Pierre Kerszberg, George F.R. Ellis).This is the first volume to survey many of the most important questions in the history of general relativity, with many of the contributions drawing upon such original resources as the Einstein Archive. It is hoped that it will stimulate much-needed further research in this hitherto neglected area.
Specifically, it deals with modeling and simulations of biological systems whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions.
This book gives an account of an ellipsoidal calculus and ellipsoidal techniques developed by the authors. The text ranges from a specially developed theory of exact set-valued solutions to the description of ellipsoidal calculus, related ellipsoidal-based methods and examples worked out with computer graphics.
Presents basic theoretical material that deals with numerical analysis, convergence, error estimates, and accuracy. This book illustrates a how-to approach to computational work in the development of algorithms, construction of input files, timing, and accuracy analysis.
The analysis of Euclidean space is well-developed. In particular, the Fourier transform and the theory of translation invariant operators (convolution transforms) have played a central role in this analysis. The normal and tangent bundles become part of the language of classical analysis when that analysis is done on a domain.
These non associative algebras generalize C*-algebras and von Neumann algebras re spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras.
new statistical challenges in genomics.The work will be useful to a broad interdisciplinary readership of researchers and practitioners in applied probability and statistics, industrial statistics, biomedicine, biostatistics, and engineering.
Based on a streamlined presentation of the authors' successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. Initial chapters present necessary mathematical background material for a fundamental understanding of the dynamical behavior of systems.
How one goes about analyzing proteins is a constantly evolving ?eld that is no longer solely the domain of the protein biochemist. Inves- gators from diverse disciplines ?nd themselves with the unanticipated task of identifying and analyzing a protein and studying its physical properties and biochemical interactions.
And finally, the book presents some applications to evolution problems, index theory, fractional powers, spectral theory and singular perturbation theory.
The idea is to reduce the overall complex problem into manageable approximate problems or subproblems, to solve these problems, and to construct a solution of the original problem from the solutions of these simpler prob lems.
This book is an outgrowth of the NSF-CBMS conference Nonlinear Waves GBP3 Weak Turbulence held at Case Western Reserve University in May 1992. Work in field can be broadly divided into two areas: * The theory of the transition from smooth laminar motions to the disordered motions characteristic of turbulence.
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