Directional stability - Revision history

199.27.241.180: Adding ommitted punctuation.

2014-03-22T06:34:58Z

Adding ommitted punctuation.

← Older revision		Revision as of 08:34, 22 March 2014
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	~~Hi there, I am Andrew Berryhill~~. ~~I am really fond of~~ to ~~go to karaoke~~ but I'~~ve been using~~ on ~~new issues lately~~. ~~Her family life in Alaska~~ but ~~her husband desires them~~ to ~~transfer. Distributing manufacturing has been his profession~~ for ~~some time~~.<br><br>~~Here is~~ my ~~page :: real psychics,~~ [http://~~www~~.~~skullrocker~~.~~com~~/~~blogs~~/~~post~~/~~10991 inquiry~~],		extended [http://www.jvawest.com/UserProfile/tabid/152/userId/2157/Default.aspx car warranty] Hello and welcome. auto warranty My name is [http://pridervresortministries.com/UserProfile/tabid/105/userId/756/Default.aspx extended car warranty] auto warranty Ling. Her buddies say it's not good for her but what she auto warranty loves performing is flower arranging and she is attempting to make it a profession. She is currently a cashier but soon she'll be on her own. Delaware is the place [http://Www.ct.gov/dmv/cwp/view.asp?a=799&q=245376 I adore] most but I [http://www.motortrend.com/new_cars/auto_warranty/ require] to move for my family.<br><br>Feel free to surf to my website ... [http://Sportshop-Union.de/index.php?mod=users&action=view&id=13058 http://Sportshop-Union.de/index.php?mod=users&action=view&id=13058]

en>Myasuda: /* Introduction */ sp

2014-03-02T17:29:09Z

Introduction: sp

← Older revision		Revision as of 19:29, 2 March 2014
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	~~In [[mathematics]]~~, ~~the '''excluded point topology''' is a [[topological space\|topology]] where exclusion of a particular point defines [[open set\|openness]]~~. ~~Formally, let ''X'' be any set and ''p'' ∈ ''X''. The collection~~		Hi there, I am Andrew Berryhill. I am really fond of to go to karaoke but I've been using on new issues lately. Her family life in Alaska but her husband desires them to transfer. Distributing manufacturing has been his profession for some time.<br><br>Here is my page :: real psychics, [http://www.skullrocker.com/blogs/post/10991 inquiry],
	~~:''T'' = {''S'' &sube; ''X'': ''p'' ∉ ''S'' or ''S'' = X;}~~
	of ~~subsets of ''X'~~' ~~is then the excluded point topology~~ on ~~''X''~~.
	~~There are a variety of cases which are individually named:~~

	* If ''X'' has ~~two points we call it the '''[[Sierpiński space]]'''. This case is somewhat special and is handled separately~~.
	* If ''X'' is [[finite set\|finite]] (with at least 3 points) we call the topology on ''X'' the '''finite excluded point topology'''
	* If ''X'' is [[countably infinite]] we call the topology on ''X'' the '''countable excluded point topology'''
	* If ''X'' is [[uncountable]] we call the topology on ''X'' the '''uncountable excluded point topology'''

	~~A generalization / related topology is the [[open extension topology]]. That is if~~ <~~math~~>~~X\backslash \{p\}~~ <~~/math~~> ~~has the discrete topology then the open extension topology will be the excluded point topology.~~

	~~This topology~~ is used to provide interesting examples and counterexamples. Excluded point topology is also connected and that is clear since the only open set containing the excluded point is X itself and hence X cannot be written as disjoint union of two proper open subsets.

	~~==See also==~~
	* [~~[Sierpiński space]]~~
	* [[Particular point topology]]
	* [[Alexandrov topology]]
	* [[Finite topological space]]
	* [[Fort space]]

	~~==References==~~
	*{{Citation \| last1=Steen \| first1=Lynn Arthur \| author1-link=Lynn Arthur Steen \| last2=Seebach \| first2=J. ~~Arthur Jr~~. ~~\| author2-link=J. Arthur Seebach, Jr. \| title=[[Counterexamples in Topology]] \| origyear=1978 \| publisher=[[Springer-Verlag]~~] ~~\| location=Berlin~~, ~~New York \| edition=[[Dover Publications\|Dover]] reprint of 1978 \| isbn=978-0-486-68735-3 \| mr=507446 \| year=1995}}~~
	~~my notes Taha el Turki.[1]~~

	~~[[Category:Topological spaces]]~~

en>Ponydepression: /* Example - Road Vehicle */

2013-12-26T01:20:29Z

Example - Road Vehicle

← Older revision		Revision as of 03:20, 26 December 2013
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	~~Claude~~ is ~~her name~~ and ~~she totally digs that name~~. ~~My job~~ is a ~~messenger. I~~'~~ve usually loved residing in Idaho~~. ~~The favorite pastime for my kids~~ and me is ~~dancing and now I~~'~~m trying to make cash~~ with it.<br><br>~~Also visit~~ my ~~web blog extended auto warranty (~~[~~http~~:~~//Direlegion.com/ActivityFeed/MyProfile/tabid/61/UserId/34476/Default.aspx click through the up coming document~~])		In [[mathematics]], the '''excluded point topology''' is a [[topological space\|topology]] where exclusion of a particular point defines [[open set\|openness]]. Formally, let ''X'' be any set and ''p'' ∈ ''X''. The collection
			:''T'' = {''S'' &sube; ''X'': ''p'' ∉ ''S'' or ''S'' = X;}
			of subsets of ''X'' is then the excluded point topology on ''X''.
			There are a variety of cases which are individually named:

			* If ''X'' has two points we call it the '''[[Sierpiński space]]'''. This case is somewhat special and is handled separately.
			* If ''X'' is [[finite set\|finite]] (with at least 3 points) we call the topology on ''X'' the '''finite excluded point topology'''
			* If ''X'' is [[countably infinite]] we call the topology on ''X'' the '''countable excluded point topology'''
			* If ''X'' is [[uncountable]] we call the topology on ''X'' the '''uncountable excluded point topology'''

			A generalization / related topology is the [[open extension topology]]. That is if <math>X\backslash \{p\} </math> has the discrete topology then the open extension topology will be the excluded point topology.

			This topology is used to provide interesting examples and counterexamples. Excluded point topology is also connected and that is clear since the only open set containing the excluded point is X itself and hence X cannot be written as disjoint union of two proper open subsets.

			==See also==
			* [[Sierpiński space]]
			* [[Particular point topology]]
			* [[Alexandrov topology]]
			* [[Finite topological space]]
			* [[Fort space]]

			==References==
			*{{Citation \| last1=Steen \| first1=Lynn Arthur \| author1-link=Lynn Arthur Steen \| last2=Seebach \| first2=J. Arthur Jr. \| author2-link=J. Arthur Seebach, Jr. \| title=[[Counterexamples in Topology]] \| origyear=1978 \| publisher=[[Springer-Verlag]] \| location=Berlin, New York \| edition=[[Dover Publications\|Dover]] reprint of 1978 \| isbn=978-0-486-68735-3 \| mr=507446 \| year=1995}}
			my notes Taha el Turki.[1]

			[[Category:Topological spaces]]

1.44.206.246: Inserted missing bracket in the equation for d\beta/dt

2012-09-01T05:43:40Z

Inserted missing bracket in the equation for d\beta/dt

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