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关于Heilbron型问题的上下界
引用本文:田正平. 关于Heilbron型问题的上下界[J]. 杭州师范学院学报(社会科学版), 1994, 0(6)
作者姓名:田正平
摘    要:平面上n个不同的点间的最大距离和最小距离的比记为rn,rn的下确界设为Rn。在本文中我们求得了Rn的上、下界,即,这里c1=1.050075…,c2=1.128379…。

关 键 词:距离,下确界

ON THE PROBLEM OF HEILBRON TYPE
Tian Zhengping. ON THE PROBLEM OF HEILBRON TYPE[J]. Journal of Hangzhou Teachers College(Humanities and Social Sciences), 1994, 0(6)
Authors:Tian Zhengping
Affiliation:Department of Mathematics
Abstract:A set of n points in the plane determines a total of C distances (some distances may be equal). Let rn be the ratio of the maximum distance to the minimum distance. The problem of Heilbron type is to find the least lower bound Rn for rn. In this paper the upper and lower bounds are given for Rn, namely we get the following result for Rn.Theorem, where
Keywords:distance   least lower bound
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