Triangulation (geometry) - Revision history

en>David Eppstein: Articles with disambiguators in their titles don't also need hatnotes

2014-07-19T15:47:21Z

Articles with disambiguators in their titles don't also need hatnotes

← Older revision		Revision as of 17:47, 19 July 2014
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	~~Alyson~~ is ~~the name people use to contact me~~ and ~~I think it sounds quite great when you say~~ it. I~~'ve always loved living~~ in ~~Kentucky~~ but now I'm contemplating other ~~options~~. ~~To perform lacross~~ is some thing ~~he would by no means give up. Credit authorising is how she tends to make a residing~~.<br><br>~~Feel free to~~ visit my ~~page ... psychic chat online (~~[http://~~www.dabestrapperalive~~.~~com~~/~~users~~/~~HWechsler read full report~~])		Jayson Berryhill is how I'm known as and my spouse doesn't like it at all. Invoicing is my occupation. My wife and I reside in Mississippi but now I'm contemplating other choices. The preferred pastime for him and his children is style and he'll be starting some thing else alongside with it.<br><br>Also visit my weblog [http://peopleinput.biz/archafrique/well-educate-you-all-sorts-things-about-hobbies psychic readings online]

en>Ag2gaeh: link to surface triangulation inserted

2014-02-04T14:48:01Z

link to surface triangulation inserted

← Older revision		Revision as of 16:48, 4 February 2014
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	~~In [[mathematics]], the point <math>\tilde{\mathbf{x}}\in \mathbb{R}^n</math>~~ is ~~an '''equilibrium point''' for~~ the ~~[[differential equation]]~~		Alyson is the name people use to contact me and I think it sounds quite great when you say it. I've always loved living in Kentucky but now I'm contemplating other options. To perform lacross is some thing he would by no means give up. Credit authorising is how she tends to make a residing.<br><br>Feel free to visit my page ... psychic chat online ([http://www.dabestrapperalive.com/users/HWechsler read full report])

	~~:<math>\frac{d\mathbf{x}}{dt} = \mathbf{f}(t,\mathbf{x})</math>~~

	~~if <math>\mathbf{f}(t,\tilde{\mathbf{x}})=0</math> for all <math>t\,\!</math>~~.

	~~Similarly, the point <math>\tilde{\mathbf{x}}\~~in ~~\mathbb{R}^n</math> is an '''equilibrium point''~~' ~~(or [[Fixed point (mathematics)\|fixed point]]) for the [[difference equation]]~~

	~~:<math>\mathbf{x}_{k+1} = \mathbf{f}(k,\mathbf{x}_k)</math>~~

	~~if <math>\mathbf{f}(k,\tilde{\mathbf{x}})= \tilde{\mathbf{x}}</math> for <math>k=0,1,2,\ldots</math>~~.

	~~Equilibria can be classified by looking at the signs of the eigenvalues of the linearization of the equations about the equilibria. That~~ is to say, by evaluating the [[Jacobian matrix]] at each of the equilibrium points of the system, and then finding the resulting eigenvalues, the equilibria can be categorized. Then the behavior of the system in the neighborhood of each equilibrium point can be qualitatively determined, (or even quantitatively determined, in some ~~instances),~~ by ~~finding the eigenvector(s) associated with each eigenvalue~~.

	~~An equilibrium point~~ is ~~''hyperbolic'' if none of the eigenvalues have zero real part~~. ~~If all eigenvalues have negative real part, the equilibrium is a stable equation~~. ~~If at least one has a positive real part, the equilibrium is an unstable node~~. ~~If at least one eigenvalue has negative real part and at least one has positive real part, the equilibrium is a [[saddle point]]~~.

	[~~[Category~~:~~Stability theory~~]]
	~~[[Category:Dynamical systems]]~~

	~~{{Mathanalysis-stub}}~~

en>Shivasrai: Link to Tetrahedra Wiki Page

2013-08-29T12:37:10Z

Link to Tetrahedra Wiki Page

← Older revision		Revision as of 14:37, 29 August 2013
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	~~I'm Yoshiko Oquendo. Delaware has always been my living location and will never move. Interviewing is what I do~~ in ~~my working day job. To play croquet~~ is the ~~pastime I will by no means stop performing~~.<br><br>~~my homepage~~ [~~http~~://~~Portal2~~.~~Blueink~~.~~net/UserProfile/tabid/858/userId/58891/Default~~.~~aspx extended auto warranty~~]		In [[mathematics]], the point <math>\tilde{\mathbf{x}}\in \mathbb{R}^n</math> is an '''equilibrium point''' for the [[differential equation]]

			:<math>\frac{d\mathbf{x}}{dt} = \mathbf{f}(t,\mathbf{x})</math>

			if <math>\mathbf{f}(t,\tilde{\mathbf{x}})=0</math> for all <math>t\,\!</math>.

			Similarly, the point <math>\tilde{\mathbf{x}}\in \mathbb{R}^n</math> is an '''equilibrium point''' (or [[Fixed point (mathematics)\|fixed point]]) for the [[difference equation]]

			:<math>\mathbf{x}_{k+1} = \mathbf{f}(k,\mathbf{x}_k)</math>

			if <math>\mathbf{f}(k,\tilde{\mathbf{x}})= \tilde{\mathbf{x}}</math> for <math>k=0,1,2,\ldots</math>.

			Equilibria can be classified by looking at the signs of the eigenvalues of the linearization of the equations about the equilibria. That is to say, by evaluating the [[Jacobian matrix]] at each of the equilibrium points of the system, and then finding the resulting eigenvalues, the equilibria can be categorized. Then the behavior of the system in the neighborhood of each equilibrium point can be qualitatively determined, (or even quantitatively determined, in some instances), by finding the eigenvector(s) associated with each eigenvalue.

			An equilibrium point is ''hyperbolic'' if none of the eigenvalues have zero real part. If all eigenvalues have negative real part, the equilibrium is a stable equation. If at least one has a positive real part, the equilibrium is an unstable node. If at least one eigenvalue has negative real part and at least one has positive real part, the equilibrium is a [[saddle point]].

			[[Category:Stability theory]]
			[[Category:Dynamical systems]]

			{{Mathanalysis-stub}}

en>Ptbotgourou: r2.7.2) (Robot: Adding fr:Triangulation (géométrie)

2012-07-29T23:16:20Z

r2.7.2) (Robot: Adding fr:Triangulation (géométrie)

New page

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