Autoregressive integrated moving average - Revision history

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2014-11-13T21:38:38Z

Editing unsubstantiated claim about how the model should be referred to into a clarifying statement about other possible notation.

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en>No1sundevil: /* Implementations in statistics packages */

2014-02-07T15:23:34Z

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2014-01-31T20:10:05Z

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	~~Yesterday I woke up and noticed~~ [~~http://www~~.~~cinemaudiosociety.org prince tickets~~] ~~- I have also been solitary for a while today and following much intimidation from pals I today find myself opted for~~ on ~~line dating. They promised me~~ that ~~there~~ are a ~~lot of sweet~~, ~~normal~~ and ~~entertaining visitors to fulfill~~, [~~http://lukebryantickets~~.~~citizenswebcasting~~.~~com luke bryan tour 2014 dates~~] ~~so here goes the message!~~<br>~~My [http:~~//~~okkyunglee~~.~~com luke bryan upcoming concerts~~] ~~fam and friends are awesome and hanging out with them at pub gigabytes or dishes~~ is ~~obviously a necessity~~. ~~As I see that you can do not own~~ a ~~nice dialogue with all~~ the ~~sound I haven't ever been into nightclubs. I likewise have 2 unquestionably cheeky~~ and ~~very cunning puppies who are almost always keen to meet up fresh people~~.~~<br>I make an effort~~ to ~~keep as toned as possible being at~~ the ~~gymnasium several times per week. I appreciate my sports and try to~~ [~~http:~~//~~Www.Google.Co.uk~~/~~search?hl=en~~&gl=~~us&tbm~~=~~nws&q~~=~~perform&gs_l~~=~~news perform~~] ~~or watch since many a possible~~. ~~I will often at Hawthorn fits being wintertime. Note: I have seen the carnage of wrestling matches at stocktake sales~~, ~~In case that you will considered buying an athletics I really do not mind.<br><br>My web-site -~~ [http://www.~~ffpjp24~~.org ~~luke bryan live in concert~~]		{{dablink\|The Witt algebra is not directly related to the [[Witt ring (forms)\|Witt ring]] of quadratic forms, or to the algebra of [[Witt vector]]s.}}
			In [[mathematics]], the complex '''Witt algebra''', named after [[Ernst Witt]], is the [[Lie algebra]] of meromorphic vector fields defined on the [[Riemann sphere]] that are holomorphic except at two fixed points. It is also the complexification of the Lie algebra of polynomial vector fields on a circle, and the Lie algebra of derivations of the ring '''C'''[''z'',''z''<sup>−1</sup>]. Witt algebras occur in the study of [[conformal field theory]].

			There are some related Lie algebras defined over finite fields, that are also called Witt algebras.

			The complex Witt algebra was first defined by Cartan (1909), and its analogues over finite fields were studied by Witt in the 1930s.

			==Basis==

			A basis for the Witt algebra is given by the [[vector field]]s <math>L_n=-z^{n+1} \frac{\partial}{\partial z}</math>, for ''n'' in ''<math>\mathbb Z</math>''.

			The [[Lie derivative\|Lie bracket]] of two vector fields is given by

			:<math>[L_m,L_n]=(m-n)L_{m+n}.</math>

			This algebra has a [[Group extension%23Central extension\|central extension]] called the [[Virasoro algebra]] that is important in [[conformal field theory]] and [[string theory]].

			==Over finite fields==

			Over a field ''k'' of characteristic ''p''>0, the Witt algebra is defined to be the Lie algebra of derivations of the ring
			:''k''[''z'']/''z''<sup>''p''</sup>
			The Witt algebra is spanned by ''L''<sub>''m''</sub> for −1≤ ''m'' ≤ ''p''−2.

			==See also==
			*[[Virasoro algebra]]
			*[[Heisenberg algebra]]

			==References==
			*E. Cartan, [http://www.numdam.org/numdam-bin/fitem?id=ASENS_1909_3_26__93_0 ''Les groupes de transformations continus, infinis, simples.''] Ann. Sci. Ecole Norm. Sup. 26, 93-161 (1909).
			* {{springer\|author= \|title=Witt algebra\|id=W/w098060}}

			[[Category:Conformal field theory]]
			[[Category:Lie algebras]]

en>Hschliebs: /* Implementations in statistics packages */

2012-08-23T22:40:12Z

Implementations in statistics packages

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