V2EX antichain

Antichain

释义 Definition

antichain(反链):在偏序集(partially ordered set, poset)中,一个集合内任意两个不同元素都不可比较(既不存在 \(a \le b\),也不存在 \(b \le a\))。常用于组合数学与序理论中;与“链(chain)”相对。

发音 Pronunciation (IPA)

/ntiten/

例句 Examples

An antichain is a set of elements where no two are comparable.
反链是一组元素,其中任意两个都不可比较。

Sperner’s theorem bounds the maximum size of an antichain in the Boolean lattice.
斯佩尔纳定理给出了布尔格中反链最大规模的上界。

词源 Etymology

由 **anti-**(“反、对立”)+ chain(“链”)构成,字面意思是“反(于)链的结构”。在序理论里,“chain”指全可比较的集合,而“antichain”强调“彼此不形成可比较关系”,因此得名。

相关词 Related Words

文学与名著用例 Literary Works

  • R. P. Stanley, Enumerative Combinatorics, Volume 1:在偏序集与斯佩尔纳型结果中系统使用“antichain”。
  • B. A. Davey & H. A. Priestley, Introduction to Lattices and Order:在序与格的基础章节中讨论链与反链。
  • Bollobás, Modern Graph Theory(相关章节涉及偏序/集合系统的极值问题时出现该术语)。
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     2922 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 8ms UTC 03:35 PVG 11:35 LAX 20:35 JFK 23:35
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86