关于单形的两个不等式及其应用——关于单形的两篇文章的注记

(1)本文对单形空间角正弦的两个不等式给出了正确的证明;(2)证明了一个有用的不等式;(3)对文2]中的定理2及定理3,指出了其证明过程中错误之处;(4)对文1]的定理2.1及由此得到的几个三角等式进行了推广,并给出了更简洁的证明。

Two Inequalities of Simplices ancl Application

The main points of this paper are that: (1) a correct proofvas given for two inecualities on higher dimension space--angle sines;(2) another usefull inequalfity was prove also; (3) some mistakes in Ref(2) were pointed out; (4) some results in Ref(1) were extended and theirproof was given more concisely.