A note on the number of distinct distances

被引：0

作者：

Elekes G., Elekes G. ^{[1
]}

机构：

[1] EöTvöS LoráNd University, Budapest

来源：

Periodica Mathematica Hungarica | 1999年 / 38卷 / 3期

关键词：

Euclidean Space; Real Variable; Collinear Point; Distinct Distance;

D O I：

10.1023/A:1004802524095

中图分类号：

学科分类号：

摘要：

We refine a method introduced in [1] and [2] for studying the number of distinct values taken by certain polynomials of two real variables on Cartesian products. We apply it to prove a "gap theorem", improving a recent lower bound on the number of distinct distances between two collinear point sets in the Euclidean space. © Akadémiai Kiadó,.

引用

页码：173 / 177

页数：4

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