en>Jonathanarpith: Disambiguated: heat exchange → heat transfer

2014-12-09T20:03:39Z

Disambiguated: heat exchange → heat transfer

← Older revision		Revision as of 22:03, 9 December 2014
Line 1:		Line 1:
	In [[mathematics]], the '''simplicial approximation theorem''' is a foundational result for [[algebraic topology]], guaranteeing that [[continuous mapping]]s can be (by a slight deformation) approximated by ones that are [[piecewise]] of the simplest kind. It applies to mappings between spaces that are built up from [[simplex\|simplices]] — that is, finite [[simplicial complex]]es. The general continuous mapping between such spaces can be represented approximately by the type of mapping that is (''affine''-) linear on each simplex into another simplex, at the cost (i) of sufficient [[barycentric subdivision]] of the simplices of the domain, and (ii) replacement of the actual mapping by a [[homotopic]] one.		== は隠れ場所をしている、か ==

	~~This theorem was first proved by~~ [[L.E.J. ~~Brouwer~~]]~~, by use of the~~ [[~~Lebesgue covering theorem~~]] ~~(a result based on~~ [~~[compactness]])~~. ~~It served to put the [[homology theory~~]~~] of the time — the first decade of the twentieth century — on a rigorous basis, since it showed that the topological effect (on~~ [~~[homology group~~]~~]s) of continuous mappings could in a given case be expressed in a~~ [~~[finitary]] way~~. ~~This must be seen against the background of a realisation at the time that continuity was in general compatible with the [[pathological (mathematics)\|pathological]], in some other areas~~. ~~This initiated, one could say, the era of [[combinatorial topology~~]].		ナ[OK]を、Geはよだれ助けないJige参照してください [http://www.dmwai.com/webalizer/kate-spade-7.html ケイトスペード財布通販]。<br><br>は隠れ場所をしている、か？<br>二階に彼自身の考えにショックを受け、犯罪、より<br>、最後にチャンネルを歩き、ウェイターが、一見配布ルームと部屋に、クラッターの床を引く、パスをまっすぐうなずいたとき大手層の下に [http://www.dmwai.com/webalizer/kate-spade-6.html kate spade マザーズバッグ]......階下、左折停止する黒グー真冬の場所で、廊下に、左折して、カチャカチャという音が続き、小さな鉄の門が開きます [http://www.dmwai.com/webalizer/kate-spade-10.html ケイトスペードバッグショルダー]。ラッシュが来た何の外の雨を注ぐ [http://www.dmwai.com/webalizer/kate-spade-4.html ケイトスペード時計取り扱い店]。<br><br>は、実際に4つの中古品に出願された鄭チャオが車に急いで、暗い、車を待っている、鄭チャオが車の前に座って、車のサンウ音が始まった。<br><br>引っ張られるかを知ることができる人、言うまでもありませんが、暗室に保管されている、私は秘密のドアの外から、うろついサウナの中にある、唖然罪なので、巡航方向のも、彼の感覚なかったどの場所？<br><br>「ここに、全く換気を喫煙しないでください [http://www.dmwai.com/webalizer/kate-spade-1.html ケイトスペード財布店舗]。「粉末点火ツァイはちょうど、大きなお尻は、大きなお尻を吸うためにあえて文章を批判した。私は犯罪を比較し、その3、長い間、私の罪のために、実際には非常に静か
			相关的主题文章：
			<ul>

			<li>[http://www.bibk.nu/cgi-bin/guestbook_f96/guestbook.cgi http://www.bibk.nu/cgi-bin/guestbook_f96/guestbook.cgi]</li>

			<li>[http://www.mattia.ca/cgi-bin/newsboard.cgi http://www.mattia.ca/cgi-bin/newsboard.cgi]</li>

			<li>[http://e-hp.info/mitsuike/4-bbs/bbs/m-123y.cgi http://e-hp.info/mitsuike/4-bbs/bbs/m-123y.cgi]</li>

			</ul>

	~~There is a further '''simplicial approximation theorem for homotopies''', stating that a [[homotopy]] between continuous mappings can likewise be approximated by a combinatorial version.~~		== またはので、彼女は非常にショックを受けた ==

	==~~Formal statement of the theorem~~==		'まあ、ああ、あなたを呼び出す......あなたを教えて？'<br><br>「男どのように？ [http://www.dmwai.com/webalizer/kate-spade-14.html kate spade マザーズバッグ] '<br><br>'ハハッハッハ......あなたはハンサムであると思いますか？'<br><br>「間違いなく、省略、男を呼びの前で男ではありません。 [http://www.dmwai.com/webalizer/kate-spade-5.html ケイトスペードのバッグ] '<br>「ハッハッハ......それは男自身、その警察の男、あなたは忘れてはいけないことを、ああ、私に食事を作ることを約束した日と呼ばれている。」<br><br>「私は何の問題をしない毎日、あなたはああに招待された美しさを恐れていないよ。」<br><br><br>「そのことについて今日は？ '<br>「 [http://www.dmwai.com/webalizer/kate-spade-1.html ケイトスペードマザーズバッグ].........、二十四時間のスタンバイを呼ぶ」<br><br>2物質の言葉に、インターコンチネンタルホテルのレストランに設定作業から午後に予定Niwai、、、Niwai [http://www.dmwai.com/webalizer/kate-spade-10.html ケイトスペードバッグショルダー] 10分の間<br>、オーディオカットXiaomeng [http://www.dmwai.com/webalizer/kate-spade-11.html ケイトスペード財布通販] Qiは彼の下唇を噛ん、本当に男そう恥知らずな極端な側面を参照してください。またはので、彼女は非常にショックを受けた。<br><br>「これは小さな若いPaoniuの一種の伝説とは？」でも赤市が彼の頬に傷をつけ、霧が聞こえ、それが彼のシークレットサービスの考え方に反している。
			相关的主题文章：
			<ul>

			<li>[http://www.zxmrzn.com/home.php?mod=space&uid=209146 http://www.zxmrzn.com/home.php?mod=space&uid=209146]</li>

			<li>[http://www.d1km.com/home.php?mod=space&uid=23622 http://www.d1km.com/home.php?mod=space&uid=23622]</li>

			<li>[http://www.wenxuelu.com/home.php?mod=space&uid=183243 http://www.wenxuelu.com/home.php?mod=space&uid=183243]</li>

			</ul>

	Let <math> K </math> and <math> L </math> be two [[simplicial complex]]es. A simplicial mapping <math> f : K \to L </math> is called a simplicial approximation of a continuous function <math> F : \|K\| \to \|L\| </math> if for every point <math> x \in \|K\| </math>, <math> \|f\|(x) </math> belongs to the minimal closed simplex of <math> L </math> containing the point <math> F(x) </math>. If <math> f </math> is a simplicial approximation to a continuous map <math> F </math>, then the geometric realization of <math> f </math>, <math> \|f\| </math> is necessaily homotopic to <math> F </math>.		== 「さあ、私の車を取る ==

	~~The simplicial approximation theorem states that given any continuous map~~ <~~math~~> F : ~~\|K\| \to \|L\|~~ <~~/math~~> ~~there exists a natural number~~ <~~math~~> ~~n_0~~ <~~/math~~> ~~such that for all~~ <~~math~~> ~~n \ge n_0~~ <~~/math~~> ~~there exists a simplicial approximation~~ <~~math~~> f : ~~\mathrm{Bd}^n K \to L <~~/~~math> to~~ <~~math~~> F <~~/math~~> ~~(where~~ <~~math~~> ~~\mathrm{Bd}\; K~~ <~~/math~~> ~~denotes the~~ [~~[barycentric subdivision]~~] ~~of <math> K~~ </~~math~~>~~, and~~ <~~math~~> ~~\mathrm{Bd}^n K <~~/~~math> denotes the result of applying barycentric subdivision <math> n <~~/~~math> times~~.)		あなたが彼を見て、それはマウスを忘れて......ああ自分自身を楽しむことが見えることを発見するだけ会っていた、慰めの道を食べる必要がないようにしてください。 '<br><br>「もう、白のケアです。、私たちは行きます [http://www.dmwai.com/webalizer/kate-spade-2.html マザーズバッグケイトスペード]。「熊Jianfei道路 [http://www.dmwai.com/webalizer/kate-spade-9.html ケイトスペードリボンバッグ]。<br>外出先で話し<br>3人が、この犯罪はとき、私は停止に追いつく、気になるようになります。集まって、私たちは一緒になる...... [http://www.dmwai.com/webalizer/kate-spade-1.html ケイトスペード財布セール] 'ください媒介されない、それは実際にいくつかのサブ里ではないことを、上と呼ばシュシュ会った。 '<br><br>「さあ、私の車を取る [http://www.dmwai.com/webalizer/kate-spade-8.html 財布ケイトスペード]。「熊Jianfeiを私が罪を犯す抱擁は、彼らが車に向かって歩いて笑って、肩でお互いを破った。<br>まだその知らせに笑顔、目自体を作るためにXiaomengチーとマウスの後ろ<br> [http://www.dmwai.com/webalizer/kate-spade-9.html ケイトスペードバッグセール]。<br><br>しかし、その後、それYuebuqilai、長い卒業し、学生間の接触後に、学ぶためにドンShaojun、より疎外、場合のリー第冬でも、食いしん坊サン李と呉Guangyuも自分自身を開いて、接触しない他よりも麻薬に忙しい豆暁波は、戻っていなかったの半分を持っています。電話スタッブスは、私の罪とマウスは落胆が、幸い、隊漢王シェンジェンにリンクされていた
			相关的主题文章：
	==~~See also~~==		<ul>
	*[[Simplicial map]]
			<li>[http://www.liberalismen.dk/index.cgi http://www.liberalismen.dk/index.cgi]</li>
	==~~References~~==
	*{{Springer\|id=~~Simplicial_complex\|title=Simplicial complex}}~~		<li>[http://www.cqwkc.net/forum.php?mod=viewthread&tid=128659&extra= http://www.cqwkc.net/forum.php?mod=viewthread&tid=128659&extra=]</li>

	~~{{DEFAULTSORT:Simplicial Approximation Theorem}}~~		<li>[http://www.carmtcpj.com/sns/space.php?uid=2741&do=blog&id=9037 http://www.carmtcpj.com/sns/space.php?uid=2741&do=blog&id=9037]</li>
	~~[[Category:Continuous mappings]~~]
	~~[[Category:Simplicial sets]]~~		</ul>
	~~[[Category:Theorems in algebraic topology]]~~

173.25.54.191: cap

2014-01-28T06:19:44Z

cap

← Older revision		Revision as of 08:19, 28 January 2014
Line 1:		Line 1:
	~~Adrianne~~ is ~~what you has~~ the ~~capability~~ to ~~call me but Which~~ i ~~don't like when individuals~~ use ~~my full user name~~. ~~What I love doing is in fact~~ to ~~play croquet coupled with now I have~~ a ~~chance to take~~ on ~~new things~~. ~~The job I~~'~~ve been occupying~~ for ~~many years is an rule clerk~~. ~~My husband~~ and [~~http~~://~~En.Wiktionary.org~~/~~wiki~~/~~I+select I select]~~ to ~~reside in Guam but I will own~~ to ~~move in~~ a ~~trustworthy year or two~~. ~~You does find my website here~~: ~~http~~://~~prometeu.net~~<br><br>~~My website;~~ [~~http:~~//~~prometeu~~.~~net clash Of Clans hack Tools~~]		In [[mathematics]], the '''simplicial approximation theorem''' is a foundational result for [[algebraic topology]], guaranteeing that [[continuous mapping]]s can be (by a slight deformation) approximated by ones that are [[piecewise]] of the simplest kind. It applies to mappings between spaces that are built up from [[simplex\|simplices]] — that is, finite [[simplicial complex]]es. The general continuous mapping between such spaces can be represented approximately by the type of mapping that is (''affine''-) linear on each simplex into another simplex, at the cost (i) of sufficient [[barycentric subdivision]] of the simplices of the domain, and (ii) replacement of the actual mapping by a [[homotopic]] one.

			This theorem was first proved by [[L.E.J. Brouwer]], by use of the [[Lebesgue covering theorem]] (a result based on [[compactness]]). It served to put the [[homology theory]] of the time — the first decade of the twentieth century — on a rigorous basis, since it showed that the topological effect (on [[homology group]]s) of continuous mappings could in a given case be expressed in a [[finitary]] way. This must be seen against the background of a realisation at the time that continuity was in general compatible with the [[pathological (mathematics)\|pathological]], in some other areas. This initiated, one could say, the era of [[combinatorial topology]].

			There is a further '''simplicial approximation theorem for homotopies''', stating that a [[homotopy]] between continuous mappings can likewise be approximated by a combinatorial version.

			==Formal statement of the theorem==

			Let <math> K </math> and <math> L </math> be two [[simplicial complex]]es. A simplicial mapping <math> f : K \to L </math> is called a simplicial approximation of a continuous function <math> F : \|K\| \to \|L\| </math> if for every point <math> x \in \|K\| </math>, <math> \|f\|(x) </math> belongs to the minimal closed simplex of <math> L </math> containing the point <math> F(x) </math>. If <math> f </math> is a simplicial approximation to a continuous map <math> F </math>, then the geometric realization of <math> f </math>, <math> \|f\| </math> is necessaily homotopic to <math> F </math>.

			The simplicial approximation theorem states that given any continuous map <math> F : \|K\| \to \|L\| </math> there exists a natural number <math> n_0 </math> such that for all <math> n \ge n_0 </math> there exists a simplicial approximation <math> f : \mathrm{Bd}^n K \to L </math> to <math> F </math> (where <math> \mathrm{Bd}\; K </math> denotes the [[barycentric subdivision]] of <math> K </math>, and <math> \mathrm{Bd}^n K </math> denotes the result of applying barycentric subdivision <math> n </math> times.)

			==See also==
			*[[Simplicial map]]

			==References==
			*{{Springer\|id=Simplicial_complex\|title=Simplicial complex}}

			{{DEFAULTSORT:Simplicial Approximation Theorem}}
			[[Category:Continuous mappings]]
			[[Category:Simplicial sets]]
			[[Category:Theorems in algebraic topology]]

en>F=q(E+v^B): remove merge banners, now that Quasistatic equilibrium has been blanked and re-directed to here

2012-06-05T09:26:42Z

remove merge banners, now that Quasistatic equilibrium has been blanked and re-directed to here

New page

Adrianne is what you has the capability to call me but Which i don't like when individuals use my full user name. What I love doing is in fact to play croquet coupled with now I have a chance to take on new things. The job I've been occupying for many years is an rule clerk. My husband and [http://En.Wiktionary.org/wiki/I+select I select] to reside in Guam but I will own to move in a trustworthy year or two. You does find my website here: http://prometeu.net<br><br>My website; [http://prometeu.net clash Of Clans hack Tools]

Quasistatic process - Revision history

en>Jonathanarpith: Disambiguated: heat exchange → heat transfer

173.25.54.191: cap

en>F=q(E+v^B): remove merge banners, now that Quasistatic equilibrium has been blanked and re-directed to here