Soil production function - Revision history

en>Rjwilmsi: /* References */Added 3 dois to journal cites using AWB (10209)

2014-05-24T07:35:44Z

References: Added 3 dois to journal cites using AWB (10209)

← Older revision		Revision as of 09:35, 24 May 2014
Line 1:		Line 1:
	~~{{Unreferenced\|date=October 2009}}~~		Hi there. Allow me start by introducing the author, her name is Myrtle Cleary. California is our beginning location. To do aerobics is a thing that I'm completely addicted to. I am a meter reader but I strategy on changing it.<br><br>my blog post :: [http://jewelrycase.co.kr/xe/Ring/11593 jewelrycase.co.kr]
	~~In [[mathematics]]~~, ~~a '''recurrent point''' for a function ''f''~~ is a ~~point~~ that ~~is in the [[limit set]] of the [[iterated function]] ''f'~~'. ~~Any [[neighborhood]] containing the recurrent point will also contain (~~a ~~[[countable]] number of) iterates of~~ it ~~as well~~.

	~~==Definition==~~
	~~Let~~ <~~math~~>X<~~/math~~> ~~be a~~ [~~[Hausdorff space]] and <math>f\colon X\to X</math> a function. A point <math>x\in X</math> is said to be recurrent (for <math>f</math>) if <math>x\in \omega(x)<~~/~~math>, ''i.e.'' if <math>x</math> belongs to its <math>\omega<~~/~~math>-[[limit set]]~~. ~~This means that for each [[neighborhood]] <math>U</math> of <math>x</math> there exists <math>n>0</math> such that <math>f^n(x)\in U</math>~~.

	~~The [[closure (topology)\|closure]] of the set of recurrent points of <math>f<~~/~~math> is often denoted <math>R(f)<~~/~~math> and is called the '''recurrent set''' of <math>f<~~/~~math>~~.

	Every recurrent point is a [[nonwandering point]], hence if <math>f</math> is a [[homeomorphism]] and <math>X</math> is [[Compactness\|compact]], then <math>R(f)</math> is an [[Invariant set\|invariant subset]] of the non-wandering set of <math>f</math> (and may be a [[proper subset]]).

	~~{{PlanetMath attribution\|id=6034\|title=Recurrent point}}~~

	~~[[Category:Limit sets]~~]

	~~{{topology-stub}}~~

en>Denisarona: Reverted 1 edit by 62.87.129.110 (talk) to last revision by ClueBot NG. (TW)

2013-03-22T15:44:28Z

Reverted 1 edit by 62.87.129.110 (talk) to last revision by ClueBot NG. (TW)

← Older revision		Revision as of 17:44, 22 March 2013
Line 1:		Line 1:
	I'~~m Yoshiko Oquendo~~. ~~Arizona is her beginning place~~ and ~~she will never transfer~~. ~~Interviewing~~ is ~~what she does~~ in ~~her day job but quickly her spouse and her will start their own business~~. ~~One~~ of ~~his preferred hobbies~~ is ~~playing crochet but he hasn~~'~~t produced~~ a ~~dime with it.~~<br><br>~~My website~~ [~~http:~~//~~Vollrausch~~-~~gaming.de~~/~~index~~.~~php?mod~~=~~users&action~~=~~view&id=2209 Vollrausch~~-~~gaming.de]~~		{{Unreferenced\|date=October 2009}}
			In [[mathematics]], a '''recurrent point''' for a function ''f'' is a point that is in the [[limit set]] of the [[iterated function]] ''f''. Any [[neighborhood]] containing the recurrent point will also contain (a [[countable]] number of) iterates of it as well.

			==Definition==
			Let <math>X</math> be a [[Hausdorff space]] and <math>f\colon X\to X</math> a function. A point <math>x\in X</math> is said to be recurrent (for <math>f</math>) if <math>x\in \omega(x)</math>, ''i.e.'' if <math>x</math> belongs to its <math>\omega</math>-[[limit set]]. This means that for each [[neighborhood]] <math>U</math> of <math>x</math> there exists <math>n>0</math> such that <math>f^n(x)\in U</math>.

			The [[closure (topology)\|closure]] of the set of recurrent points of <math>f</math> is often denoted <math>R(f)</math> and is called the '''recurrent set''' of <math>f</math>.

			Every recurrent point is a [[nonwandering point]], hence if <math>f</math> is a [[homeomorphism]] and <math>X</math> is [[Compactness\|compact]], then <math>R(f)</math> is an [[Invariant set\|invariant subset]] of the non-wandering set of <math>f</math> (and may be a [[proper subset]]).

			{{PlanetMath attribution\|id=6034\|title=Recurrent point}}

			[[Category:Limit sets]]

			{{topology-stub}}

en>ClueBot NG: Reverting possible vandalism by 66.168.192.193 to version by Rjwilmsi. False positive? Report it. Thanks, ClueBot NG. (712452) (Bot)

2011-11-09T01:49:22Z

Reverting possible vandalism by 66.168.192.193 to version by Rjwilmsi. False positive? Report it. Thanks, ClueBot NG. (712452) (Bot)

New page

I'm Yoshiko Oquendo. Arizona is her beginning place and she will never transfer. Interviewing is what she does in her day job but quickly her spouse and her will start their own business. One of his preferred hobbies is playing crochet but he hasn't produced a dime with it.<br><br>My website [http://Vollrausch-gaming.de/index.php?mod=users&action=view&id=2209 Vollrausch-gaming.de]