Search results for: extensions-and-relaxations

Extensions and Relaxations

Author : A.G. Chentsov
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In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints. Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology.

On the Correspondence Between Relaxation and Rate Characteristics in Plastic Extension

Author : L. I. Vasilyev
File Size : 22.30 MB
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NBS FORTRAN Test Programs

Author : Frances E. Holberton
File Size : 27.15 MB
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Finitely Additive Measures and Relaxations of Extremal Problems

Author : A.G. Chentsov
File Size : 88.12 MB
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This monograph constructs correct extensions of extremal problems, including problems of multicriteria optimization as well as more general cone optimization problems. The author obtains common conditions of stability and asymptotic nonsensitivity of extremal problems under perturbation of a part of integral restrictions for finite and infinite systems of restrictions. Features include individual chapters on nonstandard approximation of finitely additive measures by indefinite integrals and constructions of attraction sets. Professor Chentsov illustrates abstract settings by providing examples of problems of impulse control, mathematical programming, and stochastic optimization.

Relaxation in Optimization Theory and Variational Calculus

Author : Tomas Roubicek
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The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.

Relaxation Studies

Author : Tobias Matthay
File Size : 67.2 MB
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Network and Discrete Location

Author : Mark S. Daskin
File Size : 62.20 MB
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Praise for the First Edition This book is refreshing to read since it takes an important topic... and presents it in a clear and concise manner by using examples that include visual presentations of the problem, solution methods, and results along with an explanation of the mathematical and procedural steps required to model the problem and work through to a solution.” —Journal of Classification Thoroughly updated and revised, Network and Discrete Location: Models, Algorithms, and Applications, Second Edition remains the go-to guide on facility location modeling. The book offers a unique introduction to methodological tools for solving location models and provides insight into when each approach is useful and what information can be obtained. The Second Edition focuses on real-world extensions of the basic models used in locating facilities, including production and distribution systems, location-inventory models, and defender-interdictor problems. A unique taxonomy of location problems and models is also presented. Featuring examples using the author’s own software—SITATION, MOD-DIST, and MENU-OKF—as well as Microsoft Office® Excel®, the book provides: • A theoretical and applied perspective on location models and algorithms • An intuitive presentation of the uses and limits of modeling techniques • An introduction to integrated location-inventory modeling and defender-interdictor models for the design of reliable facility location systems • A full range of exercises to equip readers with an understanding of the basic facility location model types Network and Discrete Location: Models, Algorithms, and Applications, Second Edition is an essential resource for practitioners in applied and discrete mathematics, operations research, industrial engineering, and quantitative geography. The book is also a useful textbook for upper-level undergraduate, graduate, and MBA courses.

The Mechanical Properties of Textile Fibres

Author : Reginald Meredith
File Size : 35.69 MB
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College and Clinical Record

Author :
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New Extensions

Author : David Waugh
File Size : 79.22 MB
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Extension materials stretch and challenge higher ability pupils whilst encouraging a more in-depth study of themes and places. New Extensions fits easily into existing schemes of work and enables pupils to achieve the Higher National Curriculum levels of attainment.

Nuclear Magnetic Resonance Probes of Molecular Dynamics

Author : R. Tycko
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Nuclear Magnetic Resonance Probes of Molecular Dynamics describes the theoretical basis and experimental techniques that make modern NMR spectroscopy a powerful and flexible tool for probing molecular dynamics in chemical, physical, and biochemical systems. Individual chapters, written by leaders in the development and application of NMR from around the world, treat systems that range from synthetic polymers, liquid crystals, and catalysts to proteins and oligonucleotides and techniques that include deuterium NMR, magic angle spinning, multidimensional spectroscopy, and magnetic resonance imaging. A combination of elementary and advanced material makes the book a useful introduction to the field for students at the graduate level as well as an important reference for practising NMR spectroscopists.

Extensions to the Capacitated Lot sizing Problem

Author : Jong Wang Chow
File Size : 88.34 MB
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In this work, we model the production planning problem of a supply chain as an extension of the capacitated lot-sizing problem (CLSP). In particular, we consider the problem with setup times and alternative capacity resources at varying cost rates. The goal is to seek a flexible framework that is easily implemented on commercial mathematical programming software systems, and which can be extended to complex variants of the CLSP without changing its underlying approach. We discuss the fundamental structure of the framework which tries to improve the performance of an LP-based approach by reducing the integrality gap through the manipulation of the setup forcing constraints. We also identify the characteristics of good heuristics based on this framework. These characteristics are investigated through a series of computational experiments. The computational experience helps to give insights into the design of heuristics that can be deployed for a large variety of CLSP extensions. Finally, we stress that this framework is only in its embryonic stage and we identify areas for future investigations.

Algorithmes de Relaxation de Contraintes Pour Le Probl me Du Voyageur de Commerce Sym trique Et Ses Extensions

Author : Groupe d'études et de recherche en analyse des décisions (Montréal, Québec)
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Jubilee Line Extension

Author : Bob Mitchell
File Size : 23.46 MB
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Jubilee Line Extension from concept to completion should appeal to everyone who is interested in major transportation projects and in learning how the JLE Project was able to deliver a major urban infrastructure project with the minimum of environmental disturbance and an exemplary safety record.

Control and Estimation of Distributed Parameter Systems

Author : Gertrud Desch
File Size : 71.64 MB
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22 papers on control of nonlinear partial differential equations highlight the area from a broad variety of viewpoints. They comprise theoretical considerations such as optimality conditions, relaxation, or stabilizability theorems, as well as the development and evaluation of new algorithms. A significant part of the volume is devoted to applications in engineering, continuum mechanics and population biology.

Discrete Relaxation Techniques

Author : Thomas C. Henderson
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Very Good,No Highlights or Markup,all pages are intact.

Extensions of the Stability Theorem of the Minkowski Space in General Relativity

Author : Lydia Bieri
File Size : 26.73 MB
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A famous result of Christodoulou and Klainerman is the global nonlinear stability of Minkowski spacetime. In this book, Bieri and Zipser provide two extensions to this result. In the first part, Bieri solves the Cauchy problem for the Einstein vacuum equations with more general, asymptotically flat initial data, and describes precisely the asymptotic behavior. In particular, she assumes less decay in the power of $r$ and one less derivative than in the Christodoulou-Klainerman result. She proves that in this case, too, the initial data, being globally close to the trivial data, yields a solution which is a complete spacetime, tending to the Minkowski spacetime at infinity along any geodesic. In contrast to the original situation, certain estimates in this proof are borderline in view of decay, indicating that the conditions in the main theorem on the decay at infinity on the initial data are sharp. In the second part, Zipser proves the existence of smooth, global solutions to the Einstein-Maxwell equations. A nontrivial solution of these equations is a curved spacetime with an electromagnetic field. To prove the existence of solutions to the Einstein-Maxwell equations, Zipser follows the argument and methodology introduced by Christodoulou and Klainerman. To generalize the original results, she needs to contend with the additional curvature terms that arise due to the presence of the electromagnetic field $F$; in her case the Ricci curvature of the spacetime is not identically zero but rather represented by a quadratic in the components of $F$. In particular the Ricci curvature is a constant multiple of the stress-energy tensor for $F$. Furthermore, the traceless part of the Riemann curvature tensor no longer satisfies the homogeneous Bianchi equations but rather inhomogeneous equations including components of the spacetime Ricci curvature. Therefore, the second part of this book focuses primarily on the derivation of estimates for the new terms that arise due to the presence of the electromagnetic field.


Author : British Arachnological Society
File Size : 37.14 MB
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Molecular Biology of the Cell

Author :
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The Dynamics of Complex Urban Systems

Author : Sergio Albeverio
File Size : 34.4 MB
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This book contains the contributions presented at the international workshop "The Dynamics of Complex Urban Systems: an interdisciplinary approach" held in Ascona, Switzerland in November 2004. Experts from several disciplines outline a conceptual framework for modeling and forecasting the dynamics of both growth-limited cities and megacities. Coverage reflects the various interdependencies between structural and social development.