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Handbook of Discrete and Computational Geometry
The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Inevitable Randomness in Discrete Mathematics
Mathematics has been called the science of order. The subject is remarkably good for generalizing specific cases to create abstract theories. However, mathematics has little to say when faced with highly complex systems, where disorder reigns. This disorder can be found in pure mathematical arenas, such as the distribution of primes, the $3n+1$ conjecture, and class field theory. The purpose of this book is to provide examples--and rigorous proofs--of the complexity law: (1) discrete systems are either simple or they exhibit advanced pseudorandomness; (2) a priori probabilities often exist even when there is no intrinsic symmetry. Part of the difficulty in achieving this purpose is in trying...
Molecular Clusters of the Main Group Elements
With more than 20 contributions from leading research groups, this book provides essential information for chemists and materials scientists working with molecular clusters. It treats both homonuclear and heteronuclear clusters, including: the theory and concepts in main-group cluster chemistry, * novel boranes and heteroboranes, * silicon/germanium/tin clusters, * alkali metal suboxides, * clusters in alloys with mercury, * chalkogen clusters * and numerous other compound classes. The whole is illustrated by examples of the great potential for technical applications such as electron storage, cancer therapy and in optoelectronic devices. Its systematic coverage of all relevant main group elements makes this the prime reference source in the field.
Handbook of Chalcogen Chemistry
Provides an overview of the developments on the chemistry of the chalcogen group elements (S, Se and Te). Organised into two parts, this book deals systematically with the chemistry of chalcogens in relation to other group elements in the periodic table, and also includes an overview of metal-chalcogenides and metal-polychalcogenides.
The Retrospect of Practical Medicine and Surgery
Being an analysis of the British and foreign medical journals and transactions; or, a selection of the latest discoveries and most practical observations in the practice of medicine, surgery, and the collateral sciences, for the past year, made chiefly with reference to the treatment of disease.
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