Crest factor - Revision history

86.121.137.79: mention loudspeakers

2015-01-10T15:49:33Z

mention loudspeakers

← Older revision		Revision as of 17:49, 10 January 2015
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	~~In [[complex analysis]], '''Harnack's principle''' or '''Harnack's theorem'''~~ is ~~one of several closely related theorems about the convergence of sequences of [[harmonic function]]s, that follow from [[Harnack's inequality]]~~.		Emilia Shryock is my title but you can call me something you like. Years in the past he moved to North Dakota and his family enjoys it. Since she was eighteen she's been working as a receptionist but her promotion by no means arrives. The favorite hobby for my kids and me is to perform baseball and I'm trying to make it a occupation.<br><br>Have a look at my site - home std test kit ([http://gjycorp.com/Gcentre_Advisors/5743 my response])

	~~If the [[function (mathematics)\|functions]] <math> u_1(z)</math>, <math> u_2(z)</math>, ... are harmonic~~ in ~~an [[open connected subset]] <math>G</math> of~~ the ~~[[complex plane]] '''C''',~~ and
	~~:<math>u_1(z) \le u_2(z) \le~~ ...<~~/math>~~
	~~in every point of <math~~>G<~~/math~~>~~, then the [[Limit of~~ a ~~sequence\|limit]]~~
	~~:<math> \lim_{n\to\infty}u_n~~(~~z)</math>~~
	~~either is infinite in every point of the~~ [~~[domain (mathematics)\|domain]] <math>G<~~/~~math> or it is finite in every point of the domain, in both cases uniformly in each [[compact space\|compact]] subset of <math>G<~~/~~math>~~. ~~In the latter case, the function~~
	~~:<math> u(z) = \lim_{n\to\infty}u_n(z)<~~/~~math>~~
	~~is harmonic in the set <math> G</math>.~~

	~~==References==~~
	*{{springer\|id=h/~~h046620\|title=Harnack theorem\|first=L.I.\|last= Kamynin}}~~
	*{{PlanetMath attribution\|id=6657\|title=Harnack's principle}}

	~~[[Category:Harmonic functions]]~~
	~~[[Category:Theorems in complex analysis]]~~
	~~[[Category:Mathematical principles]~~]

en>Khazar2: /* Applications */clean-up, MOS:HYPHEN, replaced: widely- → widely using AWB

2013-11-08T17:38:42Z

Applications: clean-up, MOS:HYPHEN, replaced: widely- → widely using AWB

← Older revision		Revision as of 19:38, 8 November 2013
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	~~Hello and welcome. My title~~ is ~~Figures Wunder. It~~'s ~~not a typical factor but what she likes performing is foundation leaping and now she is attempting to make money with it~~. ~~Years ago we moved to North Dakota and I adore each day living here~~. ~~For many years he~~'~~s been operating as a meter reader~~ and ~~it's something he really appreciate~~.<br><br>~~Feel free~~ to ~~visit my web site~~ [~~http:~~//Ii.~~sk/dietmeals23439 http~~://Ii.sk]		In [[complex analysis]], '''Harnack's principle''' or '''Harnack's theorem''' is one of several closely related theorems about the convergence of sequences of [[harmonic function]]s, that follow from [[Harnack's inequality]].

			If the [[function (mathematics)\|functions]] <math> u_1(z)</math>, <math> u_2(z)</math>, ... are harmonic in an [[open connected subset]] <math>G</math> of the [[complex plane]] '''C''', and
			:<math>u_1(z) \le u_2(z) \le ...</math>
			in every point of <math>G</math>, then the [[Limit of a sequence\|limit]]
			:<math> \lim_{n\to\infty}u_n(z)</math>
			either is infinite in every point of the [[domain (mathematics)\|domain]] <math>G</math> or it is finite in every point of the domain, in both cases uniformly in each [[compact space\|compact]] subset of <math>G</math>. In the latter case, the function
			:<math> u(z) = \lim_{n\to\infty}u_n(z)</math>
			is harmonic in the set <math> G</math>.

			==References==
			*{{springer\|id=h/h046620\|title=Harnack theorem\|first=L.I.\|last= Kamynin}}
			*{{PlanetMath attribution\|id=6657\|title=Harnack's principle}}

			[[Category:Harmonic functions]]
			[[Category:Theorems in complex analysis]]
			[[Category:Mathematical principles]]

en>Pinethicket: Reverted edits by 14.98.227.69 (talk) to last version by Jakob5675a

2012-06-24T16:45:15Z

Reverted edits by 14.98.227.69 (talk) to last version by Jakob5675a

New page

Hello and welcome. My title is Figures Wunder. It's not a typical factor but what she likes performing is foundation leaping and now she is attempting to make money with it. Years ago we moved to North Dakota and I adore each day living here. For many years he's been operating as a meter reader and it's something he really appreciate.<br><br>Feel free to visit my web site [http://Ii.sk/dietmeals23439 http://Ii.sk]