| 涉及n维单形外接球半径和内径的两个不等式 |
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| 引用本文： | 王庚,杨世国. 涉及n维单形外接球半径和内径的两个不等式[J]. 兰州大学学报(自然科学版), 2000, 36(6): 18-21 |
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| 作者姓名： | 王庚 杨世国 |
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| 作者单位： | 1. 安徽机电学院,基础部,安徽,芜湖,241000
2. 安徽教育学院,数学系,安徽,合肥,230061 |
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| 摘 要： | 给出了n维欧氏空间En中的关于单形外接球半径和内切球半径的两个几何不等式R 2≥ csc θk,ijl)f(n)4n·n2r2 OI2和R2≥( csc θk,ijl)f(n)4n·n2r2 1 4IG2.进一步改进了n维欧拉不等式R≥nr和R2≥ (csc θk ,ijl)f(n)4nn2r2 OG2.
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| 关 键 词： | n维单形 外接球半径 内径 欧拉不等式 |
Two Inequalities Concerning the Circumradius and Inradius of a Simplex in n-Dimensional Space |
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| Wang Geng,Yang Shiguo. Two Inequalities Concerning the Circumradius and Inradius of a Simplex in n-Dimensional Space[J]. Journal of Lanzhou University(Natural Science), 2000, 36(6): 18-21 |
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| Authors: | Wang Geng Yang Shiguo |
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| Abstract: | In this paper, we obtain two inequalities concerning the circumradius and inradius of an n-dimensional simplex in the n-dimensional Euclidean space En, which improves the n-dimensional Euler inequality R≥nr and the inequality R2≥(cscθk,ijl) (f(n))/(4n)n2r2+OG2. |
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| Keywords: | n-dimensional simplex circumradius inradius Euler inequality |
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