| 欧氏空间En中k-n型Pedoe不等式的推广及应用 |
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| 引用本文： | 杨世国,潘娟娟,王文.欧氏空间En中k-n型Pedoe不等式的推广及应用[J].南京大学学报(自然科学版),2013(1):67-74. |
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| 作者姓名： | 杨世国 潘娟娟 王文 |
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| 作者单位： | 合肥师范学院教师教育研究中心;安徽新华学院数理部;安徽师范学院数学系 |
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| 基金项目： | 高等学校博士点专项科研基金项目(20113401110009);安徽省高校省级重点项目(KJ2013A322) |
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| 摘 要： | 利用距离几何的理论与方法，研究欧氏空间En中涉及两个单形体积的几何不等式问题，建立了涉及两个单行体积的几个不等式，推广了n维单形的k-n型Pedoe不等式与k-n型彭一常不等式．
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| 关 键 词： | 欧氏空间 单形 体积 不等式 |
GENERALIZATIONS OF THE k - n TYPE NEUBERG-PEDOE INEQUALITY IN THE EUCLIDEAN SPACE En WITH APPLICATIONS |
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| Yang Shiguo Teacher education research center,Hefei Normal College,Hefei PRC/.GENERALIZATIONS OF THE k - n TYPE NEUBERG-PEDOE INEQUALITY IN THE EUCLIDEAN SPACE En WITH APPLICATIONS[J].Journal of Nanjing University: Nat Sci Ed,2013(1):67-74. |
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| Authors: | Yang Shiguo Teacher education research center Hefei Normal College Hefei PRC/ |
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| Institution: | Yang Shiguo (Teacher education research center,Hefei Normal College,230061,Hefei PRC/ Department of Mathematical and Physics,Anhui Xinhua University,230088,Hefei PRC) Pan Juanjuan (Department of Mathematical and Physics,Anhui Xinhua University,230088,Hefei PRC) Wang Wen (Department of Mathematical,Hefei Normal College,230061,Herfei PRC) |
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| Abstract: | In this paper,using the theory and method of distance geometry we study the problems of geometry inequalities for the volumes of two simplexes in the Euclidean Space En.Some geometric inequalities for the volumes of two simplexes are established.The k-n type Pedoe inequality and the k-n type Peng-Chang inequality for n-dimensional simplexes are improved. |
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| Keywords: | Euclidean space simplex volume inequality |
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