| 关于垂足单形的两个不等式及其应用 |
| |
| 引用本文： | 杨世国. 关于垂足单形的两个不等式及其应用[J]. 浙江大学学报(理学版), 2005, 32(6): 621-622,634 |
| |
| 作者姓名： | 杨世国 |
| |
| 作者单位： | 安徽教育学院,数学系,安徽,合肥,230061 |
| |
| 摘 要： | 利用距离几何的理论与方法研究了n维欧氏空间En中n维单形的几何不等式问题,建立了垂足单形的两个新的几何不等式,作为其特例,得n维Euler不等式及其推广.
|
| 关 键 词： | 单形 垂足单形 外接球半径 内切球半径 不等式 |
| 文章编号： | 1008-9497（2005）06-621-02 |
| 收稿时间： | 2004-02-04 |
| 修稿时间： | 2004-02-04 |
Two inequalities for pedal simplex and applications. |
| |
| YANG Shi-guo. Two inequalities for pedal simplex and applications.[J]. Journal of Zhejiang University(Sciences Edition), 2005, 32(6): 621-622,634 |
| |
| Authors: | YANG Shi-guo |
| |
| Affiliation: | Department of Mathematics, Anhui Institute of Education, Hefei 230061, China |
| |
| Abstract: | By using the theory and method of distance geometry, the problem of geometric inequalities for an n-dimensional simplex is discussed. Two new geometric inequalities for pedal simplex are established, as their application, the n-dimensional Euler inequality and its generalization are obtained. |
| |
| Keywords: | simplex pedal simplex eireumradius inradius inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《浙江大学学报(理学版)》下载免费的PDF全文 |
|
