Some geometric inequalities on metric addition simplex which volume and radius of circumscribed sphere are obtained. As its application, some important corollaries are given.
本文获得了一类关于度量加单形的体积和外接超球半径的几何不等式，作为其应用，给出了一些重要的推论。
2
In application, the author also gives the stability versions of the inequalities concerning the volume, circumradius and median of ann-simplex.
作为应用还给出了涉及单形的体积、外接超球半径和中线的不等式的稳定性型式。
3
This article gives the volume inequality of higher dimension simplex about interface and dihedral angle, then sets up regular simplexs volume formula which differs from definition.