Delta rule - Revision history

en>Glenn: catspec

2014-06-01T19:22:41Z

catspec

en>Qwertyus: ok, found some more slides that say this was actually used for perceptrons

2014-02-18T21:22:08Z

ok, found some more slides that say this was actually used for perceptrons

← Older revision		Revision as of 23:22, 18 February 2014
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	~~:''See~~ also [~~[Wigner–Weyl transform~~]], for ~~another definition of the Weyl transform~~.''		I woke up another day and realised - I have also been single for some time now and following much bullying from buddies I now [http://lukebryantickets.sgs-suparco.org luke bryan save the date] find myself signed-up for on line dating. [http://www.netpaw.org luke bryan ticket] They promised me that there are a lot of pleasant, standard and fun individuals to fulfill, so here goes the toss!<br>My pals and household are amazing and spending time together at tavern gigabytes or dinners is obviously essential. As I locate you can do not own a good dialogue together with the sound I have never been into nightclubs. In addition, I got 2 very adorable and definitely cheeky canines who are almost always ready to meet up fresh individuals.<br>I attempt to maintain as toned as possible coming to the gym many times per week. I enjoy my athletics and strive to [http://Www.guardian.co.uk/search?q=perform perform] or see because many a possible. Being wintertime I am going to often at Hawthorn suits. Note: Supposing [http://www.ffpjp24.org luke bryan tickets sacramento] that you will considered buying an activity I do not mind, I've noticed the carnage of fumbling fits at stocktake revenue.<br><br>my web-site; [http://www.cinemaudiosociety.org luke bryan tickets sacramento]

	In [~~[theoretical physics]~~], ~~the '''Weyl transformation'''~~, ~~named after [[Hermann Weyl]], is a local rescaling of~~ the ~~[[metric tensor]]:~~

	:<~~math~~>~~g_{ab}\rightarrow e^{-2\omega(x)}g_{ab}</math>~~

	~~which produces another metric in the same [[conformal class]]. A theory~~ or ~~an expression invariant under this transformation~~ is ~~called [[conformally invariant]], or is said to possess '''Weyl symmetry'''~~. ~~The Weyl symmetry is an important [[symmetry]] in [[conformal field theory]]. It is, for example,~~ a ~~symmetry of~~ the ~~[[Polyakov action]]~~.

	~~The ordinary [[Levi-Civita connection]]~~ and ~~associated [[spin connection]]s~~ are ~~not invariant under Weyl transformations~~. ~~An appropriately invariant notion is the '''Weyl connection''', which is one way of specifying~~ the ~~structure of a [[conformal connection]]~~.

	~~A quantity φ has~~ [~~[conformal weight]] ''k'' if, under the Weyl transformation, it transforms via~~

	:~~<math>~~
	~~\varphi \to \varphi e^{k \omega}~~.
	</~~math>~~

	~~Thus conformally weighted quantities belong to certain [[density bundle~~]~~]s;~~ see ~~also~~ [~~[conformal dimension~~]~~]. Let~~ '~~'A''<sub>μ</sub> be the [[connection one-form]] associated to~~ the ~~Levi-Civita connection~~ of ~~''g''~~. ~~Introduce a connection that depends also on an initial one-form~~ <~~math~~>~~\partial_\mu\omega~~<~~/math~~> ~~via~~

	:~~<math>~~
	~~B_\mu = A_\mu + \partial_\mu \omega.~~
	</~~math>~~

	~~Then <math>D_\mu \varphi \equiv \partial_\mu \varphi + k B_\mu \varphi<~~/~~math> is covariant and has conformal weight <math>k - 1</math>~~.
	~~==Literature==~~
	* Hermann Weyl, ''Raum, Zeit, Materie'' (Space, Time, Matter), Lectures on General Relativity, in German. Berlin, Springer 1921, with later reprints in 1993. ~~ISBN 3-540-56978-2~~
	~~[[Category:Theoretical physics]]~~
	~~[[Category:Differential geometry]]~~
	~~[[Category:Symmetry]~~]
	~~[[Category:Scaling symmetries]]~~


	~~{{physics-stub}}~~
	~~{{differential-geometry-stub}}~~

84.27.176.183: /* Derivation of the delta rule */

2014-01-17T19:22:14Z

Derivation of the delta rule

← Older revision		Revision as of 21:22, 17 January 2014
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	~~Bryan is often a superstar while in the producing and the occupation expansion 1st next to his 3rd club record~~, ~~And , is~~ the ~~proof~~. ~~He broken to~~ the ~~picture in 2007 along with his amusing blend of straight down-residence availability~~, ~~motion picture superstar fantastic looks and lines~~, is ~~placed luke bryan tickets 2012~~ [[~~http~~:/~~/www~~.~~museodecarruajes~~.~~org visit the next website page~~]] t in a ~~main way~~. The ~~new recor about the nation graph~~ and ~~#2 about~~ the ~~pop maps~~, ~~making it the 2nd highest first appearance at that time~~ of ~~2008 for~~ the ~~nation artist. <br><br>The kid~~ of ~~your , understands persistence and determination are important elements when~~ [~~http://lukebryantickets~~.~~iczmpbangladesh.org meet luke bryan~~] it ~~comes~~ to ~~an excellent career-~~ . ~~His very first album, Continue~~ to ~~be Me, produced the best hits “All My Girlfriends Say” and “Country Gentleman,” although~~ [~~http://lukebryantickets.pyhgy.com luke bryan concert dates for 2014~~] ~~his hard work, Doin’ Issue, located the vocalist-about three straight No~~. ~~6 men and women:~~ ~~Else Phoning Is really a Wonderful Factor.”~~<br><br>~~Within~~ the ~~drop of 2012, Concert tour: Bryan & that have an impressive set of , which~~ [~~http://lukebryantickets.lazintechnologies.com jason aldean and luke bryan tickets~~] ~~includes Metropolitan. “It’s much like you’re receiving a approval to look~~ to ~~another level, affirms these artists that had been an element of~~ the ~~Concert tourmore than into a bigger level~~ of ~~musicians~~.~~” It wrapped as the best~~ ~~tours within its 15~~-~~12 months history~~.<br><br>~~Here~~ is ~~my web~~-~~site [http:~~/~~/www~~.~~banburycrossonline~~.~~com where luke bryan is from~~]		:''See also [[Wigner–Weyl transform]], for another definition of the Weyl transform.''

			In [[theoretical physics]], the '''Weyl transformation''', named after [[Hermann Weyl]], is a local rescaling of the [[metric tensor]]:

			:<math>g_{ab}\rightarrow e^{-2\omega(x)}g_{ab}</math>

			which produces another metric in the same [[conformal class]]. A theory or an expression invariant under this transformation is called [[conformally invariant]], or is said to possess '''Weyl symmetry'''. The Weyl symmetry is an important [[symmetry]] in [[conformal field theory]]. It is, for example, a symmetry of the [[Polyakov action]].

			The ordinary [[Levi-Civita connection]] and associated [[spin connection]]s are not invariant under Weyl transformations. An appropriately invariant notion is the '''Weyl connection''', which is one way of specifying the structure of a [[conformal connection]].

			A quantity φ has [[conformal weight]] ''k'' if, under the Weyl transformation, it transforms via

			:<math>
			\varphi \to \varphi e^{k \omega}.
			</math>

			Thus conformally weighted quantities belong to certain [[density bundle]]s; see also [[conformal dimension]]. Let ''A''<sub>μ</sub> be the [[connection one-form]] associated to the Levi-Civita connection of ''g''. Introduce a connection that depends also on an initial one-form <math>\partial_\mu\omega</math> via

			:<math>
			B_\mu = A_\mu + \partial_\mu \omega.
			</math>

			Then <math>D_\mu \varphi \equiv \partial_\mu \varphi + k B_\mu \varphi</math> is covariant and has conformal weight <math>k - 1</math>.
			==Literature==
			* Hermann Weyl, ''Raum, Zeit, Materie'' (Space, Time, Matter), Lectures on General Relativity, in German. Berlin, Springer 1921, with later reprints in 1993. ISBN 3-540-56978-2
			[[Category:Theoretical physics]]
			[[Category:Differential geometry]]
			[[Category:Symmetry]]
			[[Category:Scaling symmetries]]


			{{physics-stub}}
			{{differential-geometry-stub}}

en>Stevertigo at 05:36, 19 August 2012

2012-08-19T05:36:56Z

New page

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