| 一个关于凸集强分离的充分必要条件及其应用 |
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| 引用本文： | 杨干山.一个关于凸集强分离的充分必要条件及其应用[J].数学物理学报(A辑),1997(Z1). |
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| 作者姓名： | 杨干山 |
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| 作者单位： | 云南民族学院数学系!昆明，650031 |
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| 摘 要： | 该文首先给出了关于两个非紧凸集可被强分离的充分必要条件，它是1，2]中一个定理的改进，然后利用它改进了4-7]中一些定理和8]中的一个结果．
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| 关 键 词： | 渐近面 公共渐近面 强分离 边界紧集 |
One Necessary and Sufficient Condition on Convex Sets Being Strongly Separated and its Applications |
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| Yang Ganshang.One Necessary and Sufficient Condition on Convex Sets Being Strongly Separated and its Applications[J].Acta Mathematica Scientia,1997(Z1). |
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| Authors: | Yang Ganshang |
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| Institution: | Depertment of Mathematics. Yunnan National Institute. Kunming 650031 |
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| Abstract: | In this paper,first step,we have obtained one necessary and sufficent condition on noncompact convex sets being strongly separated, it is an improvement of some theorems in 1,2]. Second step, by using the results obtained in first step, we have improved some theorems in 4-7]and one result in8]. |
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| Keywords: | asymptotic plane public asymptotic plane strongly separated sets with compact border |
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