| E~n中n维单形的两类几何不等式 |
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| 引用本文： | 陈士龙,杨世国.E~n中n维单形的两类几何不等式[J].淮北煤炭师范学院学报(自然科学版),2010,31(4). |
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| 作者姓名： | 陈士龙 杨世国 |
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| 作者单位： | 1. 安徽广播影视职业技术学院,安徽,合肥,230011
2. 合肥师范学院数学系,安徽,合肥,230061 |
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| 基金项目： | 安徽省高校自然科学研究一般课题(KJ2010B030) |
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| 摘 要： | 文章利用几何不等式理论和解析的方法,建立了两个新的几何不等式,其中涉及单形内任意一点到它各侧面的距离与单形的各侧面面积间的关系,并给出两个推论。
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| 关 键 词： | 单形 内点 不等式 重心 坐标 |
Two Classes of Geometric Inequality for n-Dimentional Simplex in E~n |
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| CHEN Shi-long,YANG Shi-guo.Two Classes of Geometric Inequality for n-Dimentional Simplex in E~n[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2010,31(4). |
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| Authors: | CHEN Shi-long YANG Shi-guo |
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| Institution: | CHEN Shi-long1,YANG Shi-guo2(1.Anhui Vocational Broadcasting Movie and Television College,230011,Hefei,Anhui,China,2.Dept.of Math.,Hefei Normal University,230061,China) |
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| Abstract: | The analytic method and the geometric inequalities are used in this paper to establish two new geometric inequalities.They deal with relationship between the distance from the any point in a simplex to any of its side face and the area of each side face.Two deductions were drawn. |
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| Keywords: | simplex interior point inequality barycentric coordinates |
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