摘要
应用解析方法和几何不等式理论研究了n维欧氏空间En中涉及两个n维单形的几何不等式问题,建立了涉及两个单形及其内点的一类不等式.作为其应用,获得了n维单形与其垂足单形的体积的一类关系式,改进了关于垂足单形体积的几类几何不等式.
Using analytic method and theory of geometric inequality, the problem of geometric inequality involving two simplices in E^n is discussed, and a class of inequalities involving two simplices and their interior points are established in this paper. As their applications, we can get a class of inequalities on the volumes of simplex and its pedal simplex, some known inequalities on the volumes of simplex and its pedal simplex are imnroved.
出处
《安徽师范大学学报（自然科学版）》
CAS
2007年第4期437-441,共5页
Journal of Anhui Normal University(Natural Science)
基金
安徽省高校省级重点项目(2006KJ067A)
关键词
两个单形
内点
垂足单形
顶点角
空间角
two simplices
interior point
pedal simplex
vertex angle
space angle
