24小时热门版块排行榜

>论坛更新日志 (3331)
>虫友互识 (225)
>导师招生 (208)
>文献求助 (119)
>考研 (101)
>公派出国 (74)
>招聘信息布告栏 (55)
>硕博家园 (52)
>考博 (45)
>博后之家 (42)
>论文投稿 (42)
>休闲灌水 (30)
>基金申请 (21)
>教师之家 (20)
>无机非金属 (16)
>找工作 (16)

南方科技大学公共卫生及应急管理学院2025级博士研究生招生报考通知

返回列表

当前主题已经存档。

formleaf

木虫 (正式写手)

应助: 0 (幼儿园)
贵宾: 1.097
金币: 3383.1
散金: 2780
红花: 3
帖子: 991
在线: 69.6小时
虫号: 698652
注册: 2009-02-09
性别: GG
专业: 组合数学

[交流] 【转帖】陶哲轩博客上的一篇新作

看到的陶哲轩博客上最近的一篇新作，不是很明白，贴出来大家看看

回复此楼

» 猜你喜欢

请问有评职称，把科研教学业绩算分排序的高校吗已经有3人回复
孩子确诊有中度注意力缺陷已经有12人回复
2025冷门绝学什么时候出结果已经有3人回复
天津工业大学郑柳春团队欢迎化学化工、高分子化学或有机合成方向的博士生和硕士生加入已经有4人回复
康复大学泰山学者周祺惠团队招收博士研究生已经有6人回复
AI论文写作工具：是科研加速器还是学术作弊器？已经有3人回复
2026博士申请-功能高分子，水凝胶方向已经有6人回复
论文投稿，期刊推荐已经有4人回复
硕士和导师闹得不愉快已经有13人回复
请问2026国家基金面上项目会启动申2停1吗已经有5人回复

1楼2009-10-23 11:02:48

已阅回复此楼关注TA 给TA发消息送TA红花 TA的回帖

formleaf

木虫 (正式写手)

应助: 0 (幼儿园)
贵宾: 1.097
金币: 3383.1
散金: 2780
红花: 3
帖子: 991
在线: 69.6小时
虫号: 698652
注册: 2009-02-09
性别: GG
专业: 组合数学

续上面的内容

infinity, but extremely slowly. Nevertheless, this is the first explicitly quantitative version of the density Hales-Jewett theorem.

The argument is based on the density increment argument as pioneered by Roth, and also used in later papers of Ajtai-Szemerédi and Shkredov on the corners problem, which was also influential in our current work (though, perhaps paradoxically, the generality of our setting makes our argument simpler than the above arguments, in particular allowing one to avoid use of the Fourier transform, regularity lemma, or Szemerédi’s theorem). I discuss the argument in the first part of this previous blog post.

I’ll end this post with an open problem. In our paper, we cite the work of P. L. Varnavides, who was the first to observe the elementary averaging argument that showed that Roth’s theorem (which showed that dense sets of integers contained at least one progression of length three) could be amplified (to show that there was in some sense a “dense” set of arithmetic progressions of length three). However, despite much effort, we were not able to expand “P.” into the first name. As one final task of the Polymath1 project, perhaps some readers with skills in detective work could lend a hand in finding out what Varnavides’ first name was?