Buzen's algorithm - Revision history

77.49.82.10: /* Problem setup */

2014-09-07T18:30:49Z

Problem setup

← Older revision		Revision as of 20:30, 7 September 2014
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	~~In [[mathematics]]~~, ~~a '''Fatou–Bieberbach domain''' is a proper subdomain of <math>\mathbb{C}^n</math>, [[biholomorphic]]ally equivalent to <math>\mathbb{C}^n</math>~~. ~~That~~ is, an open set <math>\Omega \subsetneq \mathbb{C}^n</math> is called a Fatou–Bieberbach domain if there exists a [[bijective]] [[holomorphic]] [[function (mathematics)\|function]] <math>f:\Omega \rightarrow \mathbb{C}^n</math> whose [[inverse function]] <math>f^{-1}:\mathbb{C}^n \rightarrow \Omega</math> is holomorphic.		Nice to meet you, I am Marvella Shryock. Playing baseball is the pastime he will never stop doing. Her family members life in Minnesota. Hiring is his profession.<br><br>My website ... [http://www.saahbi.com/index.php?do=/profile-1730/info/ std testing at home]

	~~== History ==~~
	~~As a consequence of~~ the ~~[[Riemann mapping theorem]], there are no Fatou–Bieberbach domains in the case ''n'' = 1~~.
	~~[[Pierre Fatou]] and [[Ludwig Bieberbach]] first explored such domains in higher dimensions~~ in ~~the 1920s, hence the name given to them later~~. ~~Since the 1980s, Fatou–Bieberbach domains have again become the subject of mathematical research.~~

	~~== References ==~~
	* Fatou, Pierre: "Sur les fonctions méromorphs de deux variables. Sur certains fonctions uniformes de deux variables." ''C.R.'' Paris 175 (1922)
	* Bieberbach, Ludwig: "Beispiel zweier ganzer Funktionen zweier komplexer Variablen, welche eine schlichte volumtreue Abbildung des <math>\mathcal{R}_4</math> auf einen Teil seiner selbst vermitteln". Preussische Akademie der Wissenschaften. ''Sitzungsberichte'' (1933)
	* Rosay, J.-P. ~~and Rudin, W: "Holomorphic maps from~~ <~~math~~>~~\mathbb{C}^n~~<~~/math~~> ~~to <math>\mathbb{C}^n</math>". ''Trans. A~~.M.S.~~'' 310 (1988)~~ [http://www.~~jstor~~.~~org~~/~~stable~~/~~2001110]~~

	~~{{DEFAULTSORT:Fatou~~-~~Bieberbach domain}}~~
	~~[[Category:Several complex variables]]~~
	~~[[Category:Inverse functions]~~]

en>Gareth Jones: /* Marginal distributions, expected number of customers */ replace . with ,

2013-11-26T23:58:22Z

Marginal distributions, expected number of customers: replace . with ,

← Older revision		Revision as of 01:58, 27 November 2013
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	~~Nice to satisfy you~~, ~~my name~~ is ~~Refugia~~. ~~North Dakota~~ is ~~her birth location but she will have to move 1 day or~~ an ~~additional. The preferred hobby for my kids and me~~ is ~~to perform baseball and I'm attempting to make it~~ a ~~profession~~. ~~I utilized to be unemployed but now I am~~ a ~~librarian~~ and the ~~salary has been really satisfying~~.<br><br>~~my web~~-~~site~~ ... [http://www.~~1a-pornotube~~.~~com~~/~~user~~/~~WCrompton 1a~~-~~pornotube.com~~]		In [[mathematics]], a '''Fatou–Bieberbach domain''' is a proper subdomain of <math>\mathbb{C}^n</math>, [[biholomorphic]]ally equivalent to <math>\mathbb{C}^n</math>. That is, an open set <math>\Omega \subsetneq \mathbb{C}^n</math> is called a Fatou–Bieberbach domain if there exists a [[bijective]] [[holomorphic]] [[function (mathematics)\|function]] <math>f:\Omega \rightarrow \mathbb{C}^n</math> whose [[inverse function]] <math>f^{-1}:\mathbb{C}^n \rightarrow \Omega</math> is holomorphic.

			== History ==
			As a consequence of the [[Riemann mapping theorem]], there are no Fatou–Bieberbach domains in the case ''n'' = 1.
			[[Pierre Fatou]] and [[Ludwig Bieberbach]] first explored such domains in higher dimensions in the 1920s, hence the name given to them later. Since the 1980s, Fatou–Bieberbach domains have again become the subject of mathematical research.

			== References ==
			* Fatou, Pierre: "Sur les fonctions méromorphs de deux variables. Sur certains fonctions uniformes de deux variables." ''C.R.'' Paris 175 (1922)
			* Bieberbach, Ludwig: "Beispiel zweier ganzer Funktionen zweier komplexer Variablen, welche eine schlichte volumtreue Abbildung des <math>\mathcal{R}_4</math> auf einen Teil seiner selbst vermitteln". Preussische Akademie der Wissenschaften. ''Sitzungsberichte'' (1933)
			* Rosay, J.-P. and Rudin, W: "Holomorphic maps from <math>\mathbb{C}^n</math> to <math>\mathbb{C}^n</math>". ''Trans. A.M.S.'' 310 (1988) [http://www.jstor.org/stable/2001110]

			{{DEFAULTSORT:Fatou-Bieberbach domain}}
			[[Category:Several complex variables]]
			[[Category:Inverse functions]]

en>WikitanvirBot: r2.7.1) (Robot: Adding fa:الگوریتم بوزن

2011-12-09T12:44:26Z

r2.7.1) (Robot: Adding fa:الگوریتم بوزن

New page

Nice to satisfy you, my name is Refugia. North Dakota is her birth location but she will have to move 1 day or an additional. The preferred hobby for my kids and me is to perform baseball and I'm attempting to make it a profession. I utilized to be unemployed but now I am a librarian and the salary has been really satisfying.<br><br>my web-site ... [http://www.1a-pornotube.com/user/WCrompton 1a-pornotube.com]