Re: [问题] 有趣的组合几何

楼主: hiei81 (宝贝。永远)   2004-09-21 22:22:36
※ 引述《darkseer (公假中)》之铭言:
: 同样上次那个印度朋友(Syed Imam, chaogold好像跟他更熟)给我的
: Let k be a arbitrary real numbers. Prove that the following statement is
: true for sufficiently large integer n:
: Let a_1, a_2, ..., a_n be n points lying in a circle of radius kn. There
: are two integers 1<=i<j<=n such that the distance of a_i and a_j are smaller
: than sqrt(j-i).
这是只要考虑正n边形的边长(极端情形)还是我想错了?:)

Links booklink

Contact Us: admin [ a t ] ucptt.com