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关于单形的几个不等式及其应用
引用本文:杨世国. 关于单形的几个不等式及其应用[J]. 东北数学, 2005, 21(2): 221-226
作者姓名:杨世国
作者单位:Department of
摘    要:Using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established. As special cases, an inequality for the volume of the pedal simplex of a simplex and other inequalities for simplices are gotten.

关 键 词:垂足线  不等式  解析法  几何距离  欧几里德空间

Some Inequalities for Simplices and Their Applications
YANG Shi-guo. Some Inequalities for Simplices and Their Applications[J]. Northeastern Mathematical Journal, 2005, 21(2): 221-226
Authors:YANG Shi-guo
Affiliation:DepartmentofMathematics,AnhuiInstituteofEducation,Hefei,230051
Abstract:Using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established. As special cases, an inequality for the volume of the pedal simplex of a simplex and other inequalities for simplices are gotten.
Keywords:simplex  volume  pedal simplex  inequality
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