Dynamics With Inequalities
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| Author | : David E. Stewart |
| Publisher | : SIAM |
| Total Pages | : 400 |
| Release | : 2011-01-01 |
| Genre | : Science |
| ISBN | : 9781611970715 |
This book addresses dynamics with inequalities comprehensively. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only one direction); and social and economic systems that involve natural or imposed limits (such as traffic flow, which can never be negative, or inventory, which must be stored within a given facility). This book demonstrates that hard limits - eschewed in most dynamical models - are natural models for many dynamic phenomena, and there are ways of creating differential equations with hard constraints that provide accurate models of many physical, biological, and economic systems. The author discusses how finite- and infinite-dimensional problems are treated in a unified way so the theory is applicable to both ordinary differential equations and partial differential equations.
| Author | : Ivan Hlavacek |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 285 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461210488 |
The idea for this book was developed in the seminar on problems of con tinuum mechanics, which has been active for more than twelve years at the Faculty of Mathematics and Physics, Charles University, Prague. This seminar has been pursuing recent directions in the development of mathe matical applications in physics; especially in continuum mechanics, and in technology. It has regularly been attended by upper division and graduate students, faculty, and scientists and researchers from various institutions from Prague and elsewhere. These seminar participants decided to publish in a self-contained monograph the results of their individual and collective efforts in developing applications for the theory of variational inequalities, which is currently a rapidly growing branch of modern analysis. The theory of variational inequalities is a relatively young mathematical discipline. Apparently, one of the main bases for its development was the paper by G. Fichera (1964) on the solution of the Signorini problem in the theory of elasticity. Later, J. L. Lions and G. Stampacchia (1967) laid the foundations of the theory itself. Time-dependent inequalities have primarily been treated in works of J. L. Lions and H. Bnlzis. The diverse applications of the variational in equalities theory are the topics of the well-known monograph by G. Du vaut and J. L. Lions, Les iniquations en micanique et en physique (1972).
| Author | : Joel Austin Windle |
| Publisher | : Multilingual Matters |
| Total Pages | : 185 |
| Release | : 2020-02-13 |
| Genre | : Education |
| ISBN | : 1788926951 |
This book contributes new perspectives from the Global South on the ways in which linguistic and discursive boundaries shape inequalities in educational contexts, ranging from Amazonian missions to Mongolian universities. Through critical ethnographic and sociolinguistic analysis, the chapters explore how such boundaries contribute to the geopolitics of colonialism, capitalism and myriad, interwoven, forms of social life that structure both oppression and resistance. Boundaries are examined across time and space as relational constructs that mark the terms upon which admission to groups, institutions, territories, or practices are granted. The studies further present alternative educational approaches that demonstrate the potential for agency and transgression, highlighting moments of boundary crossing that disrupt existing linguistic ideologies, language policies and curriculum structures.
| Author | : Carlos Gradín |
| Publisher | : Oxford University Press |
| Total Pages | : 373 |
| Release | : 2021 |
| Genre | : Business & Economics |
| ISBN | : 0198863969 |
Inequality has emerged as a key development challenge. It holds implications for economic growth and redistribution and translates into power asymmetries that can endanger human rights, create conflict, and embed social exclusion and chronic poverty. For these reasons, it underpins intense public and academic debates and has become a dominant policy concern within many countries and in all multilateral agencies. It is at the core of the 17 goals of the UN 2030 Agenda for Sustainable Development. This book contributes to this important discussion by presenting assessments of the measurement and analysis of global inequality by leading inequality scholars, aligning these to comprehensive reviews of inequality trends in five of the world's largest developing countries - Brazil, China, India, Mexico, and South Africa.
| Author | : Martin Bohner |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 365 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461202019 |
On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals.
| Author | : Howard Botwinick |
| Publisher | : BRILL |
| Total Pages | : 386 |
| Release | : 2017-11-20 |
| Genre | : Political Science |
| ISBN | : 9004269592 |
Economists generally assume that wage differentials among similar workers will only endure when competition in the capital and/or labor market is restricted. In contrast, Howard Botwinick uses a classical Marxist analysis of real capitalist competition to show that substantial patterns of wage disparity can persist despite high levels of competition. Indeed, the author provocatively argues that competition and technical change often militate against wage equalization. In addition to providing the basis for a more unified analysis of race and gender inequality within labor markets, Botwinick’s work has important implications for contemporary union strategies. Going against mainstream proponents of labor-management cooperation, the author calls for militant union organization that can once again take wages and working conditions out of capitalist competition. This revised edition was originally published under the same title in 1993 by Princeton University Press.
| Author | : Donald Tomaskovic-Devey |
| Publisher | : |
| Total Pages | : 305 |
| Release | : 2019 |
| Genre | : Business & Economics |
| ISBN | : 0190624426 |
Organizations are the dominant social invention for generating resources and distributing them. Relational Inequalities develops a general sociological and organizational analysis of inequality, exploring the processes that generate inequalities in access to respect, resources, and rewards. Framing their analysis through a relational account of social and economic life, Donald Tomaskovic-Devey and Dustin Avent-Holt explain how resources are generated and distributed both within and between organizations. They show that inequalities are produced through generic processes that occur in all social relationships: categorization and their resulting status hierarchies, organizational resource pooling, exploitation, social closure, and claims-making. Drawing on a wide range of case studies, Tomaskovic-Devey and Avent-Holt focus on the workplace as the primary organization for generating inequality and provide a series of global goals to advance both a comparative organizational research model and to challenge troubling inequalities.
| Author | : Jinqiao Duan |
| Publisher | : Elsevier |
| Total Pages | : 283 |
| Release | : 2014-03-06 |
| Genre | : Mathematics |
| ISBN | : 0128012692 |
Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial differential equations. The authors' experience both as researchers and teachers enable them to convert current research on extracting effective dynamics of stochastic partial differential equations into concise and comprehensive chapters. The book helps readers by providing an accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations. Each chapter also includes exercises and problems to enhance comprehension. - New techniques for extracting effective dynamics of infinite dimensional dynamical systems under uncertainty - Accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations - Solutions or hints to all Exercises
| Author | : Michel Chipot |
| Publisher | : |
| Total Pages | : 140 |
| Release | : 1984 |
| Genre | : Fluid dynamics |
| ISBN | : |
| Author | : African Union Commission |
| Publisher | : OECD Publishing |
| Total Pages | : 257 |
| Release | : 2018-07-11 |
| Genre | : |
| ISBN | : 9264302506 |
This first edition explores the dynamics of growth, jobs, and inequalities. It proposes ten decisive actions to promote sustainable economic and social development and to strengthen institutions in Africa.
