关于有限向量集的一类三角不等式及应用

A Class of Triangle inequalities of a Finite Vector Setand Their Applications

中文关键词:  有限向量集  r阶空间角  n维单形  不等式

英文关键词:finite vector set  space angle of order r  n-simplex  inequality.

中文摘要:

      本文引入了Ｅⁿ中ｒ阶空间角的概念，建立了有限向量集的一类三角不等式．作为其应用，得到了ｎ维单形的两类三角不等式，推广和改进了一些已有文献中的主要结果．

英文摘要:

      In this paper,the concept of space angle of order r in Eⁿ is introduced f a class oftriangle inequalities of a finite vector set are established, as their applicatios, two classes oftriangle inequalities on n-simplex are got, the main results of in reference are generalized andimpro ved.