| 摘要: |
| 本文研究了n维欧氏空间En中n维单形的体积有关问题.利用距离几何的理论与解析方法,建立了n维情形的Routh定理,作为其特例建立了n维情形的Ceva定理. |
| 关键词: 单形 体积 超平面 |
| DOI： |
| 分类号:O184 |
| 基金项目:安徽省高校省级重点项目，安徽省学术技术带头人科研项目，安徽省高校省级一般项目 |
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| HIGHER DIMENSIONAL ROUTH THEOREM |
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YANG Shi-guo,QI Ji-bing
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YANG Shi-guo,QI Ji-bing (Dept. of Math.,Hefei Teachers College,Hefei 230061,China)
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| Abstract: |
| In the article, we study the problem on the volumes of n-dimensional simplexes in the n-dimensional Euclidean space En. By using theory of distance geometry and analytic method n-dimensional Routh theorem is established. As a special case, n-dimensional Ceva theorem is established. |
| Key words: simplex volume hyperplane |
