| 关于n维单形外角平分面面积计算公式与不等式 |
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| 引用本文： | 杨世国,潘娟娟,钱娣. 关于n维单形外角平分面面积计算公式与不等式[J]. 浙江大学学报(理学版), 2011, 38(6): 625-627 |
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| 作者姓名： | 杨世国 潘娟娟 钱娣 |
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| 作者单位： | 合肥师范学院数学系和教师教育研究中心;安徽大学数学科学学院; |
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| 基金项目： | 安徽省高校省级重点项目(K52009A45) |
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| 摘 要： | 摘要：运用度量几何的理论与方法,研究了n维欧空间En中n维单形外二面角平分面面积的计算公式和不等式问题，建立了n维单形外二面角平分面面积的一个计算公式和一个几何不等式.
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| 关 键 词： | 关键词单形 外二面角 面积 不等式 |
A computational formula and a inequality for the areas of bisection planes of outer dihedral angles of an n-dimensional simplex |
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| YANG Shi-guo ,PAN Juan-juan ,QIAN Di. A computational formula and a inequality for the areas of bisection planes of outer dihedral angles of an n-dimensional simplex[J]. Journal of Zhejiang University(Sciences Edition), 2011, 38(6): 625-627 |
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| Authors: | YANG Shi-guo PAN Juan-juan QIAN Di |
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| Affiliation: | YANG Shi-guo 1,PAN Juan-juan 2,QIAN Di 2 (1.Department of Mathematics and Teacher Education Research Center,Hefei Normal University,Hefei 230061,China,2.School of Mathematical Sciences,Anhui University,Hefei 230039,China) |
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| Abstract: | Using the theory and method of metric geometry,the computational formula and inequalities for the areas of bisection planes of outer dihedral angles of an n-dimensional simplex in the n-dimensional Euclidean space En were studied.A computational formula and a geometric inequality for the areas of bisection planes of outer dihedral angles of an n-dimensional simplex were established. |
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| Keywords: | implex outer dihedral angles areas inequality |
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