| 单形中几何不等式的稳定性 |
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| 引用本文： | 王文,杨世国.单形中几何不等式的稳定性[J].安徽教育学院学报,2011,29(3):4-7. |
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| 作者姓名： | 王文 杨世国 |
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| 作者单位： | 安徽大学数学科学学院;合肥师范学院数学系; |
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| 基金项目： | 安徽省高校省级重点项目(KJ2009A45) |
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| 摘 要： | 利用距离几何的理论与方法研究了欧氏空间中n维单形的几何不等式的稳定性,从两个单形的＂偏正＂度量证明了n维单形四个重要几何不等式的稳定性,并给出这些几何不等式的稳定性版本。
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| 关 键 词： | 单形 体积 外接球半径 内切球半径 几何不等式 稳定性 |
The Stability of Some Inequalities for a Simplex |
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| WANG Wen,YANG Shi-guo.The Stability of Some Inequalities for a Simplex[J].Journal of Anhui Institute of Education,2011,29(3):4-7. |
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| Authors: | WANG Wen YANG Shi-guo |
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| Institution: | WANG Wen1,YANG Shi-guo2(1.School of Mathematical Sciences,Anhui University,Hefei 230039,China,2.Department of Mathematics,Hefei Normal University,Hefei 230061,China) |
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| Abstract: | Using the theory and method of distance geometry to study the problems of stability of geometric inequalities for an n-dimensional simplex in the Euclidean space.From the deviation regular metric of two simplexes,we proved four important geometric inequalities for an n-dimensional simplex are all stable,and gave the stability versions of these geometric inequalities for a simplex. |
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| Keywords: | simplex volume circumradius inradius geometric inequality stability |
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