涉及单形内点到侧面的距离的两个不等式

TWO INEQUALITIES ASSOCIATED WITH DISTANCES FROM SIDE FACES TO AN INTERIOR POINT OF AN n-SIMPLEX

作者在本文中给出了涉及单形内点到各侧面的距离ｄｉ（ｎ＝１，２，…，ｎ＋１），内切球半径ｒ以及外接球半径Ｒ的两个几何不等式，此外．作者还提出了一个猜想。

In this, the author gives to inequalities concerning to circumradius R, the inradius r and the distances di (i= 1, 2, ..., n + 1 ) form the side faces to an interior point of an n-simplex. Besides, the author also gives a conjecture