| 球面空间单形的两个几何不等式（英文） |
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| 引用本文： | 周永国.球面空间单形的两个几何不等式（英文）[J].数学季刊,2019(2):204-208. |
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| 作者姓名： | 周永国 |
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| 作者单位： | Mingda middle school |
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| 摘 要： | In this paper,by using the theory and method of distance geometry,we study the geometric inequality of a n-dimensional simplex in the spherical space and establish two geometric inequalities involving the edge-length and volume of one simplex and the volume,height and(n-1)-dimensional volume of the side of another simplex in the n-dimensional spherical space.They are the extensions of the results 10] in the n-dimensional Euclidean geometry to the n-dimensional spherical space.
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| 关 键 词： | spherical space SIMPLEX volume edge-length HEIGHT INEQUALITY |
Two Geometric Inequalities in Spherical Space |
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| ZHOU Yong-guo.Two Geometric Inequalities in Spherical Space[J].Chinese Quarterly Journal of Mathematics,2019(2):204-208. |
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| Authors: | ZHOU Yong-guo |
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| Abstract: | In this paper, by using the theory and method of distance geometry, we study the geometric inequality of a n-dimensional simplex in the spherical space and establish two geometric inequalities involving the edge-length and volume of one simplex and the volume,height and(n-1)-dimensional volume of the side of another simplex in the n-dimensional spherical space. They are the extensions of the results 10] in the n-dimensional Euclidean geometry to the n-dimensional spherical space. |
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| Keywords: | spherical space simplex volume edge-length height inequality |
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