Helly's theorem: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older editNewer edit →
en>Kolja21
en>Ozob
Theorems should not be in blockquotes
Line 1: Line 1:
{{redirect|Cayley tree|finite trees with equal-length root-to-leaf paths|ordered Bell number}}
== not inevitably contact with the dark side of society ==
[[Image:Bethe_lattice.PNG|thumb|225px|right|A Bethe lattice with coordination number ''z = 3]]
A '''Bethe lattice''' or '''Cayley tree''' (though the two are not completely equivalent, see below), introduced by [[Hans Bethe]] in 1935, is an infinite [[tree (graph theory)|connected cycle-free graph]] where each node is connected to ''z'' neighbours, where ''z'' is called the [[coordination number]]. It can be seen as a tree-like structure emanating from a central node, with all the nodes arranged in shells around the central one. The central node may be called the root or origin of the lattice. The number of nodes in the ''k''th shell is given by


:<math>\, N_k=z(z-1)^{k-1}\text{ for }k > 0. </math>
Very polite authentic forward.<br><br>'not necessarily Yeah, now what lessons have no one to listen to, on this political course, I am afraid that very few people can hear it go in and you see how the belief in question?' Song Ying as casually asked, he wondered, Xie ice age, What concerns should not be concerned about these young people seems to have become obsolete thing.<br><br>'have [http://www.dmwai.com/webalizer/kate-spade-5.html ケイトスペード バッグ 激安] faith will have a goal in life, and the feeling [http://www.dmwai.com/webalizer/kate-spade-13.html ケイトスペードショルダーバッグ新作] of belonging, I think in the spirit of faith, like the o's in the body, as can ignore its existence, but you can [http://www.dmwai.com/webalizer/kate-spade-5.html ケイトスペード 財布 ゴールド] not deny that it is an integral part. 'Xie ice road.<br><br>Song should be also looked back at as strange, it seems appropriate, if the child is not deliberately compliment, [http://www.dmwai.com/webalizer/kate-spade-3.html ケイトスペード ショルダーバッグ] but looked like it a handsome and pious face, he suddenly asked: 'What do you as Interpol, not inevitably contact with the dark side of society, what you believe in? '<br><br>'I believe in human right, evil triumphs.' Xie ice road.<br><br>is still a handsome, but it seemed [http://www.dmwai.com/webalizer/kate-spade-8.html ケイトスペード ハンドバッグ] a bit childish expression, Laosong smiled, patted Kera shoulder and said: 'Paul
相关的主题文章：
<ul>
 
  <li>[http://hbgqt.gov.cn/plus/feedback.php?aid=228 http://hbgqt.gov.cn/plus/feedback.php?aid=228]</li>
 
  <li>[http://www.winesbrand.com/plus/view.php?aid=393409 http://www.winesbrand.com/plus/view.php?aid=393409]</li>
 
  <li>[http://www.sdpcool.com/ss/?action-viewcomment-type-news-itemid-79 http://www.sdpcool.com/ss/?action-viewcomment-type-news-itemid-79]</li>
 
</ul>


In some situations the definition is modified to specify that the root node has ''z''&nbsp;&minus;&nbsp;1 neighbours.
== over sin calm authentic ==


Due to its distinctive topological structure, the [[statistical mechanics]] of [[lattice model (physics)|lattice models]] on this graph are often exactly solvable. The solutions are related to the often used [[Bethe approximation]] for these systems.
............<br><br>'I [http://www.dmwai.com/webalizer/kate-spade-9.html ケイトスペード 財布 値段] did something very simple, like a simple [http://www.dmwai.com/webalizer/kate-spade-15.html ケイトスペードニューヨーク 財布] scam you, I use your voice to make a word called frequency: ready money, useful to me ...... then this voice message on your regular contact q , sent to your frequently used phone numbers ...... Then, very unexpectedly, actually someone contact me, oh, I did not contact that is linked to your phone. 'over sin road.<br><br>this result is that the people closest to the suspect, I am afraid we must fooled.<br><br>more crucial in the face of terror suspects face, over sin calm authentic: 'and contact me, that thing back on the simple, I told him that someone owes me money, do not pay back the money I'll cut him a leg ...... maybe my sentence credibility is [http://www.dmwai.com/webalizer/kate-spade-9.html ケイトスペード リボン バッグ] not high, but together you face [http://www.dmwai.com/webalizer/kate-spade-15.html kate spade マザーズバッグ] is nosebleed video, is not full of confidence right away? with you to learn, fraud also done like really, like a high success rate. '<br><br>this [http://www.dmwai.com/webalizer/kate-spade-6.html ケイトスペード マザーズバッグ] is through a simple trick, lie to the liar's associates, also brought 'ransom' 肖梦琪 really do not know head over sin is how much longer, so with the loss of tricks can
相关的主题文章：
<ul>
 
  <li>[http://www.aitagou.com/plus/feedback.php?aid=4 http://www.aitagou.com/plus/feedback.php?aid=4]</li>
 
  <li>[http://www.uberiku.com/yybbs/yybbs.cgi http://www.uberiku.com/yybbs/yybbs.cgi]</li>
 
  <li>[http://www.flvshi9.com/plus/feedback.php?aid=1201 http://www.flvshi9.com/plus/feedback.php?aid=1201]</li>
 
</ul>


== Relation to Cayley graphs ==
== but also a sentence sorry ah ==
{{see|Cayley graph}}


The Bethe lattice where each node is joined to 2''n'' others is essentially the [[Cayley graph]] of a [[free group]] on ''n'' generators.
Hand Zuo Yi, even mouth saying:. [http://www.dmwai.com/webalizer/kate-spade-11.html ケイトスペードのバッグ] 'Thank you two, thank you, to again and again few days, I have embarrassed the ministries and agencies of the door.'<br><br>'Cui hall, that there are higher levels to lower levels of thanks.' Wang Shaofeng polite way.<br><br>'got to thank you ...... except thank you, but also a sentence sorry ah, a few hours ago, I have shaken.' Cui director smiled, Wang Shaofeng step ahead to [http://www.dmwai.com/webalizer/kate-spade-0.html ケイトスペード 人気 財布] grab the provincial [http://www.dmwai.com/webalizer/kate-spade-9.html ケイトスペードバッグセール] secretary, to the leadership of the car door, usually down frankly sitting of the, too, not today, Minister Cui personally opened the back door, please forward two Theravada, they do not dare, or secretary smiled and pushed him hard seat.<br><br>topic nothing else, is curious to find when 璁稿钩绉� After a brief talk, and Cui Ying Italian Chamber smile face froze, leading [http://www.dmwai.com/webalizer/kate-spade-6.html kate spade マザーズバッグ] the flock, half thinking, half luck, they do not fall off the road to [http://www.dmwai.com/webalizer/kate-spade-3.html ケイトスペード ショルダーバッグ] thirty meters of waste wells, abandoned wells orchard from police searches than ten meters in length, attached missed twice, according to the just asking, this guy heard footsteps on the first day, and did not dare to say anything; fainted today is the result a sheep out to hit him awake, see
 
相关的主题文章：
A presentation of a group ''G'' by ''n'' generators corresponds to a [[surjective]] map from the free group on ''n'' generators to the group ''G,'' and at the level of Cayley graphs to a map from the Cayley tree to the Cayley graph. This can also be interpreted (in [[algebraic topology]]) as the [[universal cover]] of the Cayley graph, which is not in general [[simply connected]].
<ul>
 
 
The distinction between a Bethe lattice and a Cayley tree is that the former is the [[thermodynamic limit]] of the latter{{Citation needed|date=March 2012}}. Hence in Cayley trees, surface effects become important.
  <li>[http://www.webngardha.blogdehi.com/shockwave/download/download.cgi http://www.webngardha.blogdehi.com/shockwave/download/download.cgi]</li>
 
 
== Lattices in Lie groups ==
  <li>[http://www.qddongman.cn/?action-viewcomment-type-news-itemid-2109 http://www.qddongman.cn/?action-viewcomment-type-news-itemid-2109]</li>
Bethe lattices also occur as the [[discrete group]] subgroups of certain hyperbolic [[Lie groups]], such as the [[Fuchsian group]]s. As such, they are also lattices in the sense of a [[lattice (group)|lattice in a Lie group]].
 
 
  <li>[http://www.ahooga-archives.com/cgi-bin/search/search.cgi http://www.ahooga-archives.com/cgi-bin/search/search.cgi]</li>
==See also==
 
*[[Crystal]]
</ul>
 
==References==
{{reflist}}
*H. A. Bethe, ''Statistical theory of superlattices'', Proc. Roy. Soc. London Ser A, 150 ( 1935 ), pp. 552-575.
* {{cite book | author=Rodney J. Baxter | authorlink=Rodney J. Baxter | title=Exactly solved models in statistical mechanics | publisher=Academic Press | year=1982 | isbn=0-12-083182-1}}
 
==External links==
 
[[Category:Lattice models]]
[[Category:Trees (graph theory)]]

Revision as of 16:24, 19 February 2014

not inevitably contact with the dark side of society

Very polite authentic forward.

'not necessarily Yeah, now what lessons have no one to listen to, on this political course, I am afraid that very few people can hear it go in and you see how the belief in question?' Song Ying as casually asked, he wondered, Xie ice age, What concerns should not be concerned about these young people seems to have become obsolete thing.

'have ケイトスペード バッグ 激安 faith will have a goal in life, and the feeling ケイトスペードショルダーバッグ新作 of belonging, I think in the spirit of faith, like the o's in the body, as can ignore its existence, but you can ケイトスペード 財布 ゴールド not deny that it is an integral part. 'Xie ice road.

Song should be also looked back at as strange, it seems appropriate, if the child is not deliberately compliment, ケイトスペード ショルダーバッグ but looked like it a handsome and pious face, he suddenly asked: 'What do you as Interpol, not inevitably contact with the dark side of society, what you believe in? '

'I believe in human right, evil triumphs.' Xie ice road.

is still a handsome, but it seemed ケイトスペード ハンドバッグ a bit childish expression, Laosong smiled, patted Kera shoulder and said: 'Paul 相关的主题文章：

over sin calm authentic

............

'I ケイトスペード 財布 値段 did something very simple, like a simple ケイトスペードニューヨーク 財布 scam you, I use your voice to make a word called frequency: ready money, useful to me ...... then this voice message on your regular contact q , sent to your frequently used phone numbers ...... Then, very unexpectedly, actually someone contact me, oh, I did not contact that is linked to your phone. 'over sin road.

this result is that the people closest to the suspect, I am afraid we must fooled.

more crucial in the face of terror suspects face, over sin calm authentic: 'and contact me, that thing back on the simple, I told him that someone owes me money, do not pay back the money I'll cut him a leg ...... maybe my sentence credibility is ケイトスペード リボン バッグ not high, but together you face kate spade マザーズバッグ is nosebleed video, is not full of confidence right away? with you to learn, fraud also done like really, like a high success rate. '

this ケイトスペード マザーズバッグ is through a simple trick, lie to the liar's associates, also brought 'ransom' 肖梦琪 really do not know head over sin is how much longer, so with the loss of tricks can 相关的主题文章：

but also a sentence sorry ah

Hand Zuo Yi, even mouth saying:. ケイトスペードのバッグ 'Thank you two, thank you, to again and again few days, I have embarrassed the ministries and agencies of the door.'

'Cui hall, that there are higher levels to lower levels of thanks.' Wang Shaofeng polite way.

'got to thank you ...... except thank you, but also a sentence sorry ah, a few hours ago, I have shaken.' Cui director smiled, Wang Shaofeng step ahead to ケイトスペード 人気 財布 grab the provincial ケイトスペードバッグセール secretary, to the leadership of the car door, usually down frankly sitting of the, too, not today, Minister Cui personally opened the back door, please forward two Theravada, they do not dare, or secretary smiled and pushed him hard seat.

topic nothing else, is curious to find when 璁稿钩绉� After a brief talk, and Cui Ying Italian Chamber smile face froze, leading kate spade マザーズバッグ the flock, half thinking, half luck, they do not fall off the road to ケイトスペード ショルダーバッグ thirty meters of waste wells, abandoned wells orchard from police searches than ten meters in length, attached missed twice, according to the just asking, this guy heard footsteps on the first day, and did not dare to say anything; fainted today is the result a sheep out to hit him awake, see 相关的主题文章：

Retrieved from "https://en.formulasearchengine.com/index.php?title=Helly%27s_theorem&oldid=238029"