Free-radical halogenation - Revision history

en>PhilKnight: Reverted edits by 217.164.234.219 (talk) to last version by ClueBot NG

2014-09-15T13:42:21Z

Reverted edits by 217.164.234.219 (talk) to last version by ClueBot NG

← Older revision		Revision as of 15:42, 15 September 2014
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	~~{{about\|the mathematical meaning\|the grammar term (a list of verb forms)\|Principal parts}}~~		I woke up yesterday and [http://Dict.Leo.org/?search=realised+- realised -] At the moment I've been solitary for a while and following much [http://photo.net/gallery/tag-search/search?query_string=intimidation intimidation] from friends I now locate myself signed-up for on line dating. They promised me that there are a lot of ordinary, pleasant [http://www.banburycrossonline.com luke bryan live concert] and enjoyable visitors to fulfill, therefore the pitch is gone by here!<br>My family and pals are awesome and spending time with them at pub gigabytes [http://lukebryantickets.iczmpbangladesh.org cheap luke bryan concert tickets] or dishes is constantly vital. As I realize that one may do not have [http://www.museodecarruajes.org luke bryan 2014] a good dialog using the sound I have never been in to cabarets. In addition, I got two unquestionably cheeky and really adorable puppies who are invariably ready to meet new people.<br>I try to stay as toned as potential being at the gym many times a week. I appreciate my sports and make an effort to perform or watch because many a possible. Being wintertime I am going to frequently at Hawthorn fits. Notice: I've seen the carnage of wrestling suits at stocktake sales, In case that you considered shopping an activity I do not mind.<br><br>Here is my website :: upcoming luke bryan concerts ([http://www.senatorwonderling.com browse around these guys])
	In [~~[mathematics~~]], the '~~''principal part''' has several independent meanings, but usually refers to the negative-power portion of the~~ [~~[Laurent series]] of a function~~.
	~~==Laurent series definition==~~
	~~The '''principal part''' at <math>z=a<~~/~~math> of a function~~
	~~: <math>f(z) = \sum_{k~~=-~~\infty}^\infty a_k (z-~~a~~)^k</math>~~
	~~is the portion~~ of ~~the~~ [~~[Laurent series~~]~~] consisting of terms~~ with ~~negative degree~~. ~~That~~ is,
	: ~~<math>\sum_{k=-\infty}^{-1} a_k (z-a)^k<~~/~~math>~~
	~~is the principal part of <math>f<~~/~~math> at <math>~~ a ~~</math>~~.
	<~~math~~>~~f(z)</math> has an [[essential singularity]]~~ at ~~<math>~~a~~</math>, if~~ and ~~only if the principal part is~~ an ~~infinite sum~~.

	~~==Other definitions==~~
	~~===Calculus===~~
	~~Consider the difference between the function [[differential (mathematics)\|differential]]{{disambiguation needed\|date=July 2013}} and the actual increment~~:
	~~:<math>\frac{\Delta y}{\Delta x}=f~~'~~(x)+\varepsilon~~ <~~/math~~>
	:<~~math~~> ~~\Delta y=f'(x)\Delta x +\varepsilon \Delta x = dy+\varepsilon \Delta x</math>~~
	~~The differential ''dy''~~ is ~~sometimes called the '''principal~~ (~~linear) part''' of the function increment ''Δy''.~~
	~~===Distribution theory===~~
	~~The term '''principal part''' is also used for certain kinds of [[distribution (mathematics)\|distributions]] having a [[singular support]] at a single point.~~

	~~==See also==~~
	*[[Mittag-Leffler's theorem]]

	*[[Cauchy principal value]]

	~~==External links==~~
	*[http://~~planetmath~~.~~org/encyclopedia/CauchyPrinciplePartIntegral~~.~~html Cauchy Principal Part at PlanetMath~~]

	~~[[Category:Complex analysis]]~~
	~~[[Category:Generalized functions]]~~


	~~{{mathanalysis-stub}}~~

164.106.249.254 at 21:14, 9 July 2013

2013-07-09T21:14:39Z

← Older revision		Revision as of 23:14, 9 July 2013
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	~~I am Oscar and I completely dig that title~~. The ~~factor she adores most~~ is ~~body building and now she is trying to earn money~~ with it. ~~My family life in Minnesota and my family members enjoys it~~. ~~Hiring~~ has ~~been my profession for some time but I've already applied for~~ an ~~additional one~~.<br><br>~~Also visit my page~~ - ~~diet meal delivery (~~[http://~~Quik~~.se/~~dietmealdelivery74619 hop over to these guys~~])		{{about\|the mathematical meaning\|the grammar term (a list of verb forms)\|Principal parts}}
			In [[mathematics]], the '''principal part''' has several independent meanings, but usually refers to the negative-power portion of the [[Laurent series]] of a function.
			==Laurent series definition==
			The '''principal part''' at <math>z=a</math> of a function
			: <math>f(z) = \sum_{k=-\infty}^\infty a_k (z-a)^k</math>
			is the portion of the [[Laurent series]] consisting of terms with negative degree. That is,
			: <math>\sum_{k=-\infty}^{-1} a_k (z-a)^k</math>
			is the principal part of <math>f</math> at <math> a </math>.
			<math>f(z)</math> has an [[essential singularity]] at <math>a</math>, if and only if the principal part is an infinite sum.

			==Other definitions==
			===Calculus===
			Consider the difference between the function [[differential (mathematics)\|differential]]{{disambiguation needed\|date=July 2013}} and the actual increment:
			:<math>\frac{\Delta y}{\Delta x}=f'(x)+\varepsilon </math>
			:<math> \Delta y=f'(x)\Delta x +\varepsilon \Delta x = dy+\varepsilon \Delta x</math>
			The differential ''dy'' is sometimes called the '''principal (linear) part''' of the function increment ''Δy''.
			===Distribution theory===
			The term '''principal part''' is also used for certain kinds of [[distribution (mathematics)\|distributions]] having a [[singular support]] at a single point.

			==See also==
			*[[Mittag-Leffler's theorem]]

			*[[Cauchy principal value]]

			==External links==
			*[http://planetmath.org/encyclopedia/CauchyPrinciplePartIntegral.html Cauchy Principal Part at PlanetMath]

			[[Category:Complex analysis]]
			[[Category:Generalized functions]]


			{{mathanalysis-stub}}

en>Hongsy: /* General mechanism */

2012-06-30T14:35:38Z

General mechanism

New page

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