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Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In general, a minimax problem can be formulated as min max f(x, y) (1) ",EX !lEY where f(x, y) is a function defined on the product of X and Y spaces. There are two basic issues regarding minimax problems: The first issue concerns the establishment of sufficient and necessary conditions for equality minmaxf(x,y) = maxminf(x,y). (2) "'EX !lEY !lEY "'EX The classical minimax theorem of von Neumann is a result of this type. Duality theory in linear and convex quadratic programming interprets minimax theory in a different way. The second issue concerns the establishment of sufficient and necessary conditions for values of the variables x and y that achieve the global minimax function value f(x*, y*) = minmaxf(x, y). (3) "'EX !lEY There are two developments in minimax theory that we would like to mention.
This book provides a comprehensive overview of the most recent development of Chinese cities. It discusses a broad range of subjects of urban planning, including environmental planning, transportation planning, historical preservation, economic development, geographic information systems (GIS) and other technological applications. China, the most populous country in the world, has experienced unprecedented urbanization in a relatively short period. During the past decades, urbanization in China has centered on land development through industrialization and investment, but it has largely ignored the prosperity and well-being of the people. Livable cities are not just those with magnificent bu...
Free boundary problems arise in an enormous number of situations in nature and technology. They hold a strategic position in pure and applied sciences and thus have been the focus of considerable research over the last three decades. Free Boundary Problems: Theory and Applications presents the work and results of experts at the forefront of current research in mathematics, material sciences, chemical engineering, biology, and physics. It contains the plenary lectures and contributed papers of the 1997 International Interdisciplinary Congress proceedings held in Crete. The main topics addressed include free boundary problems in fluid and solid mechanics, combustion, the theory of filtration, ...
Keorapetse Kgositsile, South Africa’s second poet laureate, was a political activist, teacher, and poet. He lived, wrote, and taught in the United States for a significant part of his life and collaborated with many influential and highly regarded writers, including Gwendolyn Brooks, Sterling Plumpp, Dudley Randall, and George Kent. This comprehensive collection of Kgositsile’s new and collected works spans almost fifty years. During his lifetime, Kgositsile dedicated the majority of his poems to people or movements, documenting the struggle against racism, Western imperialism, and racial capitalism, and celebrating human creativity, particularly music, as an inherent and essential aspec...
A General History of the Chinese in Singapore documents over 700 years of Chinese history in Singapore, from Chinese presence in the region through the millennium-old Hokkien trading world to the waves of mass migration that came after the establishment of a British settlement, and through to the development and birth of the nation. Across 38 chapters and parts, readers are taken through the complex historical mosaic of Overseas Chinese social, economic and political activity in Singapore and the region, such as the development of maritime junk trade, plantation industries, and coolie labour, the role of different bangs, clan associations and secret societies as well as Chinese leaders, the ...
Nine renowned sinologists present a range of studies that display the riches of medieval Chinese verse in varied guises. All major verse-forms, including shi, fu, and ci, are examined, with a special focus on poetry’s negotiation with tradition and historical context. Dozens of previously untranslated works are here rendered in English for the first time, and readers will enter a literary culture that was deeply infused with imperatives of wit, learning, and empathy. Among the diverse topics met with in this volume are metaphysical poetry as a medium of social exchange, the place of ruins in Chinese poetry, the reality and imaginary of frontier borderlands, the enigma of misattribution, and how a 19th-century Frenchwoman discovered Tang poetry for the Western world. Contributors include Timothy Wai Keung Chan, Robert Joe Cutter, Ronald Egan, David R. Knechtges, Paul W. Kroll, Stephen Owen, Wendy Swartz, Ding Xiang Warner, and Pauline Yu.
Induced seismic events are of high scientific and economic significance. They are the result of human activities interacting with regional and local tectonics, changing the local crustal stress state by mining, extraction of rock masses, injection of fluids into the rock massif, and by changing the surface loading and pore pressure state near large reservoirs. Within Europe the study of induced seismic events has a long tradition and international scientific organizations have actively stimulated the co-operation in this field. During its General Assembly in September 1994, the European Seismological Society organized the symposium "Induced Seismic Events". The focus of this symposium was concentrated on induced events in central and eastern Europe, as well as in the former Soviet Union. The major contributions to the symposium, and also some Chinese, Canadian, and South African results are presented here. Case studies as well as data analyses and methodological studies are included. Seismologists and specialists working in the field of geohazard prevention will find much information in this volume that is pertinent to their work.