局部相似原理在数学猜想及证明中的应用

站在数学方法论的高度,不仅指出相似原理是近代数学各分支处理相当广泛一类问题的理论基础,而且还建构了它在近代数学各领域中处理数学问题的框架——广义的RMI原则,最后指出某些数学猜想与相似原理之间的有机联系,从而为其证明提供了一些有益的启示.

Applications of Local Similarity Principle in Methematical Conjecture and Proof

This paper standing on a high degree of mathematical methodology,not only points out that the similarity principle is the theoretical basis in dealing with a wide range of issues of the various branches of modern methematics,but also,in dealing with the methematical problems in all areas of modern methematics,builds the frame of generalized RMI principle. It concludes that the similarity principle has the organic relation to the methematical conjecture,which provides the useful help for its proof.