摘要
区间套原理不仅在实数理论中是重要的 ,而且对于许多应用问题也是重要的 .从应用的观点来看 ,对于实分析和抽象分析中的许多存在唯一性问题应用区间套原理去讨论是有趣的 .应用这个方法 。
The purpose of this note is to point out: the principle of nested intervals is important not only in the theory of real number but for various applied problems. From the point of view of application, the principle of nested intervals is an interesting method to discuss the problems of existence and uniqueness in the real and abstract analysis. Using this method, six applied examples are given.
出处
《工科数学》
2000年第6期80-84,共5页
Journal of Mathematics For Technology
关键词
区间套原理
稠密子集
紧性
存在唯一性问题
principle of nested intervals
dense subset
compactness
arithmetic mean geometric mean harmonic mean inequality