en>Cydebot: Robot - Speedily moving category Linkages to :Category:Linkages (mechanical) per CFDS.

2014-11-11T09:14:41Z

Robot - Speedily moving category Linkages to Category:Linkages (mechanical) per CFDS.

← Older revision		Revision as of 11:14, 11 November 2014
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	:<~~math~~>~~\frac{d}{dt}\~~, ~~dA = H \~~,dA,<~~/math~~>

	~~where ''dA'' is the area form on~~ <~~math~~>~~\Sigma(t)~~<~~/math~~> ~~induced~~ by ~~the metric~~ of '~~'M''~~, and '~~'H'' is the mean curvature~~ of <~~math~~>~~\Sigma(t)~~<~~/math~~>. ~~The normal vector~~ is ~~parallel~~ to <~~math~~> ~~D_{\alpha} \vec{e}_{\beta}~~ <~~/math~~> ~~where~~ <~~math~~> ~~\vec{e}_{\beta}~~ <~~/math~~> is the ~~tangent vector~~. ~~The mean curvature~~ is ~~parallel~~ to ~~the normal vector~~.

	=~~=References==~~
	*Chow, Lu, and Ni, ~~"Hamilton's Ricci Flow~~.~~" AMS Science Press~~, ~~GSM volume 77~~, ~~2006~~.

	~~[[Category:Riemannian geometry]]~~

en>Dolphin51: Changed upper case to lower.

2012-10-13T08:57:31Z

Changed upper case to lower.

← Older revision		Revision as of 10:57, 13 October 2012
Line 1:		Line 1:
			In [[Riemannian geometry]], the '''first variation of area formula''' relates the [[mean curvature]] of a [[hypersurface]] to the rate of change of its area as it evolves in the outward normal direction.

			Let <math>\Sigma(t)</math> be a smooth family of oriented hypersurfaces in a [[Riemannian manifold]] ''M'' such that the velocity of each point is given by the outward unit normal at that point. The first variation of area formula is

	I'~~m a 45 years olԀ and study at~~ the ~~high school [http://Godofindia.com/profile/tamackness does vigrx plus have Side Effects]~~ (~~Psychology~~).<br>~~In mу [https://Www.Gov.uk/search?q=spare+time spare time] I teach myself Danish. I have bеen twicethere~~ and ~~look [http:~~/~~/www~~.~~google.de/search?q=forward forward]~~ to ~~go [http:~~//~~Gw2~~.~~Uw-Gaming~~.~~de/index.php?mod~~=~~users&action~~=~~view&id~~=~~17269 vigrx Plus Pictures] there sometime in the future~~. ~~I like to read~~, ~~preferably on my iρad~~. ~~I really lօve to watϲh The~~ [~~https://www.vocabulary.com/dictionary/Vampire+Diaries Vampire Diaries] and Sons of Anarchy as well as docus about nature. I love Βook collecting.<br><br>Also~~ [~~http~~:~~//globalrestoration.com/UserProfile/tabid/341/userId/44530/Default.aspx vigrx plus Side Effects 2010~~] ~~visit my website [http://gdje-ba.Gdje.org/modules.php?name=Your_Account&op=userinfo&username=BEldersha Vigrx Plus~~]		:<math>\frac{d}{dt}\, dA = H \,dA,</math>

			where ''dA'' is the area form on <math>\Sigma(t)</math> induced by the metric of ''M'', and ''H'' is the mean curvature of <math>\Sigma(t)</math>. The normal vector is parallel to <math> D_{\alpha} \vec{e}_{\beta} </math> where <math> \vec{e}_{\beta} </math> is the tangent vector. The mean curvature is parallel to the normal vector.

			==References==
			*Chow, Lu, and Ni, "Hamilton's Ricci Flow." AMS Science Press, GSM volume 77, 2006.

			[[Category:Riemannian geometry]]

en>Control.valve: Disambiguated "linkage" link in first line.

2012-07-10T16:22:19Z

Disambiguated "linkage" link in first line.

New page

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Cognate linkage - Revision history

en>Cydebot: Robot - Speedily moving category Linkages to :Category:Linkages (mechanical) per CFDS.

en>Dolphin51: Changed upper case to lower.

en>Control.valve: Disambiguated "linkage" link in first line.