The 1940s saw the outbreak of the so-called Yili rebellion which led to the collapse of Chinese state authority over a wide area of Xinjiang in the chaotic years of the later 1940s. Much of the story has been told before but what is especially interesting here is Wang's demonstration that the rebellion was not an internal Chinese matter but very much an international affair. Here he looks not just at the ethnic and religious dimensions which of course had many international ramifications. But what is not generally recognized is that, politically, there were three external actors in the affair: the Guomingdan government, Chinese communists and (especially) the Soviets. The dynamics between these actors, as World War II came to an end and the Chinese civil war gathered pace, had a major impact on the course of events in Xinjiang between 1944 and 1949. The scant details of the Uighur unrest emerging from Xinjiang in 1997 suggest that the ethnic, religious and political dynamics behind the events of the 1940s are similar to those behind today's events.
The development of polynomial-elimination techniques from classical theory to modern algorithms has undergone a tortuous and rugged path. This can be observed L. van der Waerden's elimination of the "elimination theory" chapter from from B. his classic Modern Algebra in later editions, A. Weil's hope to eliminate "from algebraic geometry the last traces of elimination theory," and S. Abhyankar's sug gestion to "eliminate the eliminators of elimination theory. " The renaissance and recognition of polynomial elimination owe much to the advent and advance of mod ern computing technology, based on which effective algorithms are implemented and applied to diverse problems in science and engineering. In the last decade, both theorists and practitioners have more and more realized the significance and power of elimination methods and their underlying theories. Active and extensive research has contributed a great deal of new developments on algorithms and soft ware tools to the subject, that have been widely acknowledged. Their applications have taken place from pure and applied mathematics to geometric modeling and robotics, and to artificial neural networks. This book provides a systematic and uniform treatment of elimination algo rithms that compute various zero decompositions for systems of multivariate poly nomials. The central concepts are triangular sets and systems of different kinds, in terms of which the decompositions are represented. The prerequisites for the concepts and algorithms are results from basic algebra and some knowledge of algorithmic mathematics.
IJCNN is the flagship conference of the INNS, as well as the IEEE Neural Networks Society. It has arguably been the preeminent conference in the field, even as neural network conferences have proliferated and specialized. As the number of conferences has grown, its strongest competition has migrated away from an emphasis on neural networks. IJCNN has embraced the proliferation of spin-off and related fields (see the topic list, below), while maintaining a core emphasis befitting its name. It has also succeeded in enforcing an emphasis on quality.
Proceedings of SPIE present the original research papers presented at SPIE conferences and other high-quality conferences in the broad-ranging fields of optics and photonics. These books provide prompt access to the latest innovations in research and technology in their respective fields. Proceedings of SPIE are among the most cited references in patent literature.
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