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This is the first book about commutative semigroups in general. Emphasis is on structure but the other parts of the theory are at least surveyed and a full set of about 850 references is included. The book is intended for mathematicians who do research on semigroups or who encounter commutative semigroups in their research.
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The first major study of population size and its tremendous importance to the character and quality of society, this classic examines the tendency of human numbers to outstrip their resources.
A reassessment of the famous fifth-century clash between Hun and Roman forces: “An excellent job of research with original documents.” —The Past in Review This book reconsiders the evidence for Attila the Hun’s most famous battle, the climax of his invasion of the Western Roman Empire that had reached as far as Orleans in France. Traditionally considered one of the pivotal battles in European history, saving the West from conquest by the Huns, the Catalaunian Fields is here revealed to be significant but less immediately decisive than claimed. This new study exposes oversimplified views of Attila’s army, which was a sophisticated and complex all-arms force, drawn from the Huns and ...
In semigroup theory there are certain kinds of band decompositions, which are very useful in the study of the structure semigroups. There are a number of special semigroup classes in which these decompositions can be used very successfully. The book focuses attention on such classes of semigroups. Some of them are partially discussed in earlier books, but in the last thirty years new semigroup classes have appeared and a fairly large body of material has been published on them. The book provides a systematic review on this subject. The first chapter is an introduction. The remaining chapters are devoted to special semigroup classes. These are Putcha semigroups, commutative semigroups, weakly commutative semigroups, R-Commutative semigroups, conditionally commutative semigroups, RC-commutative semigroups, quasi commutative semigroups, medial semigroups, right commutative semigroups, externally commutative semigroups, E-m semigroups, WE-m semigroups, weakly exponential semigroups, (m,n)-commutative semigroups and n(2)-permutable semigroups. Audience: Students and researchers working in algebra and computer science.
The ancient game of Go is one of the less obvious candidates for mathematical analysis. With the development of new concepts in combinatorial game theory, the authors have been able to analyze Go games and find solutions to real endgame problems that have stumped professional Go players. Go players with an interest in mathematics and mathematicians
Multiword expressions (MWEs) are a challenge for both the natural language applications and the linguistic theory because they often defy the application of the machinery developed for free combinations where the default is that the meaning of an utterance can be predicted from its structure. There is a rich body of primarily descriptive work on MWEs for many European languages but comparative work is little. The volume brings together MWE experts to explore the benefits of a multilingual perspective on MWEs. The ten contributions in this volume look at MWEs in Bulgarian, English, French, German, Maori, Modern Greek, Romanian, Serbian, and Spanish. They discuss prominent issues in MWE research such as classification of MWEs, their formal grammatical modeling, and the description of individual MWE types from the point of view of different theoretical frameworks, such as Dependency Grammar, Generative Grammar, Head-driven Phrase Structure Grammar, Lexical Functional Grammar, Lexicon Grammar.
One of the most extraordinary books ever written about chess and chessplayers, this authoritative study goes well beyond a lucid explanation of how todays chessmasters and tournament players are rated. Twenty years' research and practice produce a wealth of thought-provoking and hitherto unpublished material on the nature and development of high-level talent: Just what constitutes an "exceptional performance" at the chessboard? Can you really profit from chess lessons? What is the lifetime pattern of Grandmaster development? Where are the masters born? Does your child have master potential? The step-by-step rating system exposition should enable any reader to become an expert on it. For some...
This book focuses on the multiple and diverse masculinities ‘at work’. Spanning both historical approaches to the rise of ‘profession’ as a marker of masculinity, and critical approaches to the current structures of management, employment and workplace hierarchy, the book questions what role masculinity plays in cultural understandings, affective experiences and mediatised representations of a professional ‘career’.
This volume offers a comprehensive guide on the theory and practice of amorphous solid dispersions (ASD) for handling challenges associated with poorly soluble drugs. In twenty-three inclusive chapters, the book examines thermodynamics and kinetics of the amorphous state and amorphous solid dispersions, ASD technologies, excipients for stabilizing amorphous solid dispersions such as polymers, and ASD manufacturing technologies, including spray drying, hot melt extrusion, fluid bed layering and solvent-controlled micro-precipitation technology (MBP). Each technology is illustrated by specific case studies. In addition, dedicated sections cover analytical tools and technologies for characteriz...