Cap set问题同样诞生于70年代，由牛津大学数学家Ron Graham提出，而第一个重要结果直到90年代才出现。2007年，陶哲轩在一篇博客文章中提到，这是他最喜欢的开放式数学问题。在FunSearch出现之前，Cap set问题最重大的突破是美国数学家Jordan Ellenberg和荷兰数学家Dion Gijswijt于2016年提出的。通过多项式方法，Ellenberg...
Cap set问题同样诞生于70年代,由牛津大学数学家Ron Graham提出,而第一个重要结果直到90年代才出现。 2007年,陶哲轩在一篇博客文章中提到,这是他最喜欢的开放式数学问题。 在FunSearch出现之前,Cap set问题最重大的突破是美国数学家Jordan Ellenberg和荷兰数学家Dion Gijswijt于2016年提出的。 通过多项式方法,Ellenberg...
从81张牌中取n张牌,S_n为不出现SET的组合数量,D_n为在仿射变换群同构下,不出现SET的组合数量,F_n为占所有组合的比例。 这也是为什么我们随机从SET游戏中挑20张牌,让它不含有SET是几乎做不到的。 5维的情况,通过计算机验证,现在知道答案是40。2008年,有人利用了5维的结论,证明6维情况下,Cap Set最大是11...
Meshulam [M95] , through a direct use of ideas of Roth, was able to show that there is a constant C so that any cap set A has density at most C/N.Our result may be viewed as a very modest improvement over Meshulam's result.MICHAEL BATEMANNETS HAWK KATZ...
M Bateman,NH Katz - 《J.amer.math.soc》 被引量: 90发表: 2012年 New bounds on cap sets We provide an improvement over Meshulam's bound on cap sets in . We show that there exist universal 0$ --> 0$"> and 0$"> so that any cap set in has size at... ...
Designer Imposed Cap: A cap deliberately set by the designers, usually to keep play balanced. For example, you might be limited to carrying 15 bombs so you can't plow through the entire game throwing bombs at everything. Hardware Imposed Cap: In computer games, caps are sometimes imposed ...
ITextRange2::SetInlineObject method ITextRange2::SetPara2 method ITextRange2::SetProperty method ITextRange2::SetText2 method ITextRange2::SetURL method ITextRange2::UnicodeToHex method ITextRow interface ITextSelection interface ITextSelection2 interface ITextStory interface ITextStoryRanges interface...
First, the CAP theorem is about replication. It only addresses the behavior of a distributed system in which multiple nodes share the same piece of data. This could be a relational database with replicas, aMongoDB replica set, or any number of similar database configurations. ...
So, today when I needed some peace to have a moment to sit back and get a drink for myself, I set the kids up to play these 5 game with the bottle caps.Five Easy Bottlecap Games1. Spinning Bottle CapsWhile not technically a game, it did keep the kids entertained for a while. ...
Implementation of the Caprara, Fischetti, and Toth algorithm for the Set Covering problem. The project uses the C++11 standard. All the algorithmic components are placed in header files (src folder) to simplify the integration into other projects. References Caprara, A., Fischetti, M., & Toth...