| 关于单形稳定性几个不等式的推广 |
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| 引用本文： | 陈士龙.关于单形稳定性几个不等式的推广[J].安庆师范学院学报(自然科学版),2014(3):4-6. |
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| 作者姓名： | 陈士龙 |
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| 作者单位： | 安徽大学艺术与传媒学院; |
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| 基金项目： | 安徽省高校省级自然科学研究课题(KJ2013B043)资助 |
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| 摘 要： | 本文研究了F^n中n维单形的稳定性，在总结已有结论的基础上，对单形的稳定性进行了推广，同时也给出了单形几何不等式的新的稳定性版本，改进了已有的结论。
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| 关 键 词： | n维欧氏空间E^n 稳定性 单形 内切球半径 外接球半径 |
Stability of Some Geometric Inequalities for a Simplex |
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| CHEN Shi-long.Stability of Some Geometric Inequalities for a Simplex[J].Journal of Anqing Teachers College(Natural Science Edition),2014(3):4-6. |
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| Authors: | CHEN Shi-long |
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| Institution: | CHEN Shi-long (School of Arts and Communication, Anhui University, Hefei 230011, China) |
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| Abstract: | Using the distance theory and method of geometry inequality to study the problem of stability, which is some geometric inequalities for an n-dimensional simplex in the Euclidean space. From the deviation regular metric of two simplexes, we proved throe important geometric inequalities for an n-dimensional simplex are all stable, gave the stability versions of these geometric inequalities for a simplex and improved throe well-known results. |
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| Keywords: | Euclidean space stability simplex inradius circumradius |
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