摘要
本文利用代数的方法建立了一个与距离几何中度量加单形的体积和外接超球半径有关的几何不等式,作为其应用,由此可以导出一系列重要的几何不等式.在文末还给出了“广义度量加”的概念,并提出若干猜想供进一步研究.
In this paper, we obtain a geometric inequality of metric addition of distance geometry by algebrique technique. As its applications, some important geometric inequalities are given. We introduce the concept of the generalized metric addition with some conjectures onit.
关键词
单形
体积
外接超球半径
度量加
几何不等式
volume and radius of circumscribed sphere of simplex
metric addition
geometric inequality.
