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E^n中n维单形的两类几何不等式

Two Classes of Geometric Inequality for n-Dimentional Simplex in E^n
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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。 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.
出处 《淮北煤炭师范学院学报(自然科学版)》 2010年第4期5-9,共5页 Journal of Huaibei Coal Industry Teachers College(Natural Science edition)
基金 安徽省高校自然科学研究一般课题(KJ2010B030)
关键词 单形 内点 不等式 重心 坐标 simplex interior point inequality barycentric coordinates
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参考文献5

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二级参考文献12

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