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| 摘要: |
| 本文研究了涉及四个单形的一类不等式问题.利用距离几何的理论和方法获得了两个单形的棱长与另两个单形的内点、中线、高、外接超球半径、内切超球半径、旁切超球半径以及n-1维侧面的体积、外接超球半径、内切超球半径的一类新的几何不等式.推广了文献([5])中的全部结果. |
| 关键词: 单形 棱长 内点 几何不等式 |
| DOI： |
| 分类号:O178 |
| 基金项目: |
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| A CLASS OF INEQUALITY INVOLVING FOUR SIMPLEXES |
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ZHOU Yong-guo
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| Abstract: |
| In this paper, we study a class of inequality involving four simplexes. By using the theory and method of distance geometry, we obtain a new class of geometric inequality between the length of the edges of two simplexes and the interior point, center line, height, the circumradius, inradius, sideradius of the other two simplexes and (n-1)-dimensional volume, the circumradius and inradius, which extend the results in[5]. |
| Key words: simplex the length of edges interior point geometric inequality |
