Re: [問題] 有趣的組合幾何

作者: hiei81 (寶貝。永遠)   2004-09-21 22:22:36
※ 引述《darkseer (公假中)》之銘言:
: 同樣上次那個印度朋友(Syed Imam, chaogold好像跟他更熟)給我的
: 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).
這是只要考慮正n邊形的邊長(極端情形)還是我想錯了?:)

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