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等价关系格上的一些运算

Some Operations on the Lattice of Equivalence Relations
课程网址: http://videolectures.net/solomon_costa_soler/  
主讲教师: João Pita Costa
开课单位: 约瑟夫·斯特凡学院
开课时间: 2007-02-25
课程语种: 英语
中文简介:
等效关系在“数学史”中起了根本作用。这些特殊关系在日常生活中无处不在,以至于我们常常忘记它们的积极存在。但是,根据一些作者的说法,关于它们的很多事情仍然未知。在本演讲中,我们将在给定集合的等价关系格的背景下介绍独立性和置换性,并参考信息论观点对这些数学概念的解释。然后,由于B.Jonsson,我们介绍了有限类型的等价对的分类,并介绍了在等价内定义的运算星,从而重申了M. L. Dubreil基本定理。
课程简介: Equivalence relations have played a fundamental role through the History of Mathematics. These special relations are so omnipresent in everyday life that we often forget about their proactive existence. Though, according to some authors, still much is unknown about them. In this talk, we will introduce independence and permutability, on the context of a equivalence relations lattice of a given set, refering to the interpretation of these mathematical concepts in the Information Theory point of view. We, then, present the classification of equivalence pairs of finite type, due to B.Jónsson, and introduce the operation star defined within equivalences, restating M.-L. Dubreil fundamental theorem.
关 键 词: 等效关系; 等价对; 有限类型
课程来源: 视频讲座网
最后编审: 2019-09-21:cwx
阅读次数: 43