Nucleate boiling - Revision history

2.125.73.130 at 16:19, 22 May 2014

2014-05-22T16:19:34Z

← Older revision		Revision as of 18:19, 22 May 2014
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	~~{{Calculus\|expanded=Fractional calculus}}~~		Andrew Berryhill is what his spouse enjoys to call him and he totally digs that title. I've always cherished residing in Kentucky but now I'm considering other choices. He works as a bookkeeper. It's not a common thing but what I like doing is to climb but I don't have the time recently.<br><br>My website: [http://www.article-galaxy.com/profile.php?a=143251 good psychic]

	~~In [[mathematics]], the '''Weyl integral'''~~ is ~~an operator defined, as an example of [[fractional calculus]], on functions ''f'' on the [[unit circle]] having integral 0~~ and ~~a [[Fourier series]]~~. ~~In other words there is a Fourier series for~~ '~~'f'' of the form~~

	~~: <math>\sum_{n=-\infty}^{\infty} a_n e^{~~in ~~\theta}</math>~~

	~~with '~~'a~~''<sub>0</sub> = 0~~.

	~~Then the Weyl integral operator of order '~~'s'' is ~~defined on Fourier series by~~

	~~: <math>\sum_{n=-\infty}^{\infty} (in)^s a_n e^{in\theta}</math>~~

	~~where this is defined. Here ''s'' can take any real value, and for integer values ''k'' of ''s'~~' the ~~series expansion is the expected ''k''-th derivative, if ''k'' > 0, or (−''k'')th indefinite integral normalized by integration from ''θ'' = 0~~.

	~~The condition ''a''~~<~~sub~~>0<~~/sub~~>~~ = 0 here plays the obvious role of excluding the need to consider division by zero. The definition is due to~~ [~~[Hermann Weyl]] (1917)~~.

	~~==See also==~~
	*[[Sobolev space]]

	~~==References==~~
	*{{springer\|first=P.I.~~\|last~~=~~Lizorkin\|id=f/f041230\|title=Fractional integration and differentiation}}~~

	~~[[Category:Fourier series]]~~
	~~[[Category:Fractional calculus]~~]

14.139.160.238: /* Mechanism */

2013-11-11T19:34:32Z

Mechanism

← Older revision		Revision as of 21:34, 11 November 2013
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	~~Hi there~~, ~~I am Sophia. My spouse doesn~~'~~t like it~~ the ~~way I do but what I truly like performing~~ is ~~caving but I don~~'~~t have~~ the ~~time recently. He functions as~~ a ~~bookkeeper~~. ~~Kentucky~~ is where I'~~ve always been living~~.<br><br>~~my web site clairvoyants~~ ([~~http://black7~~.~~Mireene~~.~~com~~/~~aqw/5741 look what i found~~])		{{Calculus\|expanded=Fractional calculus}}

			In [[mathematics]], the '''Weyl integral''' is an operator defined, as an example of [[fractional calculus]], on functions ''f'' on the [[unit circle]] having integral 0 and a [[Fourier series]]. In other words there is a Fourier series for ''f'' of the form

			: <math>\sum_{n=-\infty}^{\infty} a_n e^{in \theta}</math>

			with ''a''<sub>0</sub> = 0.

			Then the Weyl integral operator of order ''s'' is defined on Fourier series by

			: <math>\sum_{n=-\infty}^{\infty} (in)^s a_n e^{in\theta}</math>

			where this is defined. Here ''s'' can take any real value, and for integer values ''k'' of ''s'' the series expansion is the expected ''k''-th derivative, if ''k'' > 0, or (−''k'')th indefinite integral normalized by integration from ''θ'' = 0.

			The condition ''a''<sub>0</sub> = 0 here plays the obvious role of excluding the need to consider division by zero. The definition is due to [[Hermann Weyl]] (1917).

			==See also==
			*[[Sobolev space]]

			==References==
			*{{springer\|first=P.I.\|last=Lizorkin\|id=f/f041230\|title=Fractional integration and differentiation}}

			[[Category:Fourier series]]
			[[Category:Fractional calculus]]

en>ZéroBot: r2.7.1) (Robot: Adding ja:核沸騰

2012-06-07T10:16:26Z

r2.7.1) (Robot: Adding ja:核沸騰

New page

Hi there, I am Sophia. My spouse doesn't like it the way I do but what I truly like performing is caving but I don't have the time recently. He functions as a bookkeeper. Kentucky is where I've always been living.<br><br>my web site clairvoyants ([http://black7.Mireene.com/aqw/5741 look what i found])