| 欧氏空间E~n中Euler不等式的加强推广(英文) |
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| 引用本文： | 王文,杨世国.欧氏空间E~n中Euler不等式的加强推广(英文)[J].数学季刊,2012(2):218-223. |
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| 作者姓名： | 王文 杨世国 |
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| 作者单位： | Department of Mathematics,Hefei Normal University;School of Mathematical Sciences,Anhui University |
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| 基金项目： | Supported by the National Science Foundation of China(60671051);Supported by the Foundation of Anhui Higher School(KJ2009A45) |
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| 摘 要： | The relation between the circum-radius and the in-radius of an n-dimensional simplex in E~n is studied.Two new generalizations of Euler inequality for the n-dimensional simplex are established.Besides,we obtain some stronger generalizations of Euler inequality for the n-dimensional simplex than previously known results.
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| 关 键 词： | Euclidean space simplex circum-radius in-radius altitude Euler inequality |
Generalizations of Euler Inequality in the n-dimensional Euclidean Space |
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| WANG Wen,YANG Shi-guo.Generalizations of Euler Inequality in the n-dimensional Euclidean Space[J].Chinese Quarterly Journal of Mathematics,2012(2):218-223. |
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| Authors: | WANG Wen YANG Shi-guo |
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| Institution: | 1(1.Department of Mathematics,Hefei Normal University,Hefei 230601,China;2.School of Mathematical Sciences,Anhui University,Hefei 230039,China) |
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| Abstract: | The relation between the circum-radius and the in-radius of an n-dimensional simplex in E~n is studied.Two new generalizations of Euler inequality for the n-dimensional simplex are established.Besides,we obtain some stronger generalizations of Euler inequality for the n-dimensional simplex than previously known results. |
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| Keywords: | Euclidean space simplex circum-radius in-radius altitude Euler inequality |
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