| 一个组合几何问题初探 |
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| 引用本文： | 肖果能,冷岗松.一个组合几何问题初探[J].湖南师范大学教育科学学报,1996(2). |
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| 作者姓名： | 肖果能 冷岗松 |
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| 作者单位： | 长沙铁道学院，湖南教育学院 |
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| 摘 要： | 若点集Ｍ中每两点之间的距离只能取ｎ种不同的数值，则称Ｍ为ｎ－阶点集。直线上、平面上、空间中含点的数目最多的ｎ－阶点集分别记为Ｌｎ、Ｒｎ、Ｓｎ，其中所含点的数目记ｌｎ、ｐｎ、ｓｎ．本文对Ｌｎ、Ｐｎ、Ｓｎ的结构及ｌｎ、ｐｎ、ｓｎ的估计进行讨论，得到了一些有趣的结果．
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| 关 键 词： | 距离 点集 估计 |
A PRIMARY STUDY OF A PROBLEM OF COMBINATIONAL GEOMETRY |
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| Xiao Guoneng.A PRIMARY STUDY OF A PROBLEM OF COMBINATIONAL GEOMETRY[J].Journal of Educational Science of Hunan Normal University,1996(2). |
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| Authors: | Xiao Guoneng |
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| Abstract: | If the distances of every pair of points of the set M only have n different values,the M is called an n-order point set. An n-order point set which contains most points in the straight line. the plane of the space is marked Ln, Pn, Sn respectively. The number of their points is marked ln, pn, sn . In this paper the structure of Ln, Pn, Sn and the estimation of ln,pn, sn are discussed. Frain the discussion, Some intresting results are obtained. |
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| Keywords: | distance point set estimate |
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