摘要
本文利用Pythagoras数组的性质,导出了与此问题等价的相关量的表述,证明了可以按某种方式把平面上的点划分为不相交的四类点集,而在每一类点集中都不存在整距点.
In this paper,we derive an equivalent description from Steinhaus＇ problem by applying the property of Pythagoras Triple.We have shown that the plane can be divided into four disjoint sets in some certain way and there is no integer distance point for Steinhaus＇ problem in each set.
出处
《数学进展》
CSCD
北大核心
2012年第1期81-90,共10页
Advances in Mathematics（China）
