Gleason's theorem - Revision history

en>KHEname: brackets inserted

2015-01-08T12:34:02Z

brackets inserted

← Older revision		Revision as of 14:34, 8 January 2015
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	~~In [[mathematics]], the '''''ε''-neighborhood''' (or '''epsilon-neighborhood''') of a [[set (mathematics)\|set]] ''A'' ⊆ ''M'',~~ where ~~(''M'', ''d'')~~ is ~~a [[metric space]],~~ is ~~the set of all points of ''M'' whose distance~~ to ~~some point of ''A'' is less than '~~'~~ε'' > 0~~.<~~ref name=Barile~~>~~{{cite web\|last=Barile, Margherita and Weisstein, Eric W.\|title=Neighborhood\|url=~~http://~~mathworld~~.~~wolfram~~.~~com~~/~~Neighborhood.html\|publisher=MathWorld\|accessdate=21 September 2013}}<~~/~~ref> It is customarily denoted by ''A''<sup>''ε''<~~/~~sup>~~. ~~One may write~~		Andrew Berryhill is what his spouse enjoys to contact him and he totally digs that name. Mississippi is where her house is but her spouse wants them to move. He is an info officer. What me and my family members adore is to climb but I'm thinking on starting something new.<br><br>my weblog: clairvoyance ([http://1.234.36.240/fxac/m001_2/7330 1.234.36.240])

	~~:<math>A^{\varepsilon} := \{ p \in M \| \exists q \in A \mathrm{\,s~~.t.~~\,} d(p, q) < \varepsilon \} = \bigcup_{p \in A} B_{\varepsilon} (p~~)~~</math>~~

	~~where ''B''<sub>''ε''</sub>(''p'') is the [[open ball]] of radius ''ε'' centered at a point ''p'' of ''M''.~~

	~~==References==~~
	~~{{reflist}}~~

	~~{{DEFAULTSORT:Epsilon-Neighborhood}}~~
	~~[[Category:General topology]]~~
	~~[[Category:Metric geometry]]~~

en>SchreiberBike: You can help. Repaired link to the disambiguation page, Vector.

2013-12-04T05:27:57Z

You can help. Repaired link to the disambiguation page, Vector.

← Older revision		Revision as of 07:27, 4 December 2013
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	~~Andrew Simcox~~ is the ~~title his mothers and fathers gave him and he totally loves this name. One~~ of ~~the things she enjoys most~~ is ~~canoeing and she~~'~~s been doing it for fairly a whilst. For a whilst I~~'~~ve been in Mississippi but now I~~'~~m contemplating other choices. Office supervising is where her main earnings comes from~~.<br>~~<br>Review my blog post; [~~http://~~kpupf~~.com/xe/~~talk~~/~~735373 psychic readings~~]		In [[mathematics]], the '''''ε''-neighborhood''' (or '''epsilon-neighborhood''') of a [[set (mathematics)\|set]] ''A'' ⊆ ''M'', where (''M'', ''d'') is a [[metric space]], is the set of all points of ''M'' whose distance to some point of ''A'' is less than ''ε'' > 0.<ref name=Barile>{{cite web\|last=Barile, Margherita and Weisstein, Eric W.\|title=Neighborhood\|url=http://mathworld.wolfram.com/Neighborhood.html\|publisher=MathWorld\|accessdate=21 September 2013}}</ref> It is customarily denoted by ''A''<sup>''ε''</sup>. One may write

			:<math>A^{\varepsilon} := \{ p \in M \| \exists q \in A \mathrm{\,s.t.\,} d(p, q) < \varepsilon \} = \bigcup_{p \in A} B_{\varepsilon} (p)</math>

			where ''B''<sub>''ε''</sub>(''p'') is the [[open ball]] of radius ''ε'' centered at a point ''p'' of ''M''.

			==References==
			{{reflist}}

			{{DEFAULTSORT:Epsilon-Neighborhood}}
			[[Category:General topology]]
			[[Category:Metric geometry]]

en>Geometry guy: cat

2011-10-23T17:08:10Z

cat

New page

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