Phase-change memory - Revision history

en>Efa: added see also section

2014-12-09T08:41:46Z

added see also section

← Older revision		Revision as of 10:41, 9 December 2014
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	~~Should conventional treatment falters try out alternative treatments~~. * After sex you may become aware of some white or clear discharge– this is liquefied sperm, and ~~usually disappears within 24 hours of intercourse~~. ~~You will need~~ to ~~take into consideration always currently being beneficial~~. ~~Bear in mind, even~~ a ~~10% reduction in body mass may help reestablish regular menstrual cycles~~ and ~~ovulation~~. ~~Research has shown that smoking decreases the amount of eggs in a womanâs ovaries~~. <br><br>~~The end~~ of ~~the day can be tiring and weekends~~ are ~~generally reserved for chores that are not done during the week. " Well, if you need~~ to ~~understand how~~ to ~~get pregnant fast~~, ~~then you~~'~~ll definitely should be a lady with a program~~. ~~One fantastic program called Pregnancy Miracle offers~~ a ~~report for potential moms-~~to~~-be. Simple research can help you to determine what these are. The two young people~~ of ~~the same age~~, ~~the experience must be extraordinary~~. <br><br>~~This kind~~ of ~~meat~~ is ~~also a great source of vitamin B12~~ which ~~is essential~~ to ~~maintain~~ and ~~develop the nervous system~~. ~~You will find that reading some hints~~ and ~~tips for Sims game play will surely make your gaming experience a lot more fun as well as more interesting~~. ~~Â Choose the best vitamins, Fertil - Aid for Women: Female Fertility Supplement">herbs~~ and ~~supplements that work for you~~ in ~~order to achieve your goal~~. ~~Living a healthier lifestyle~~ can ~~prevent you from having miscarriages and stillbirths. Alcohol~~ can ~~reduce fertility by as much as 50% and decrease sperm counts~~. <br><br>~~Just think about it for a moment~~, ~~babies have an amazing effect~~ on ~~even the most hard-core men & women, a baby causes a staunch person go~~ to ~~all “gagga”. Day one of~~ your ~~menstrual cycle is the day you first see menstrual blood loss even if it is only a drop of blood~~. If you are ~~to the point where you feel like you have tried everything~~, ~~even procedures like IVF~~, ~~and everything~~ has ~~failed, then it is time~~ to ~~start really taking care of~~ your ~~body. Plasma Packs – these look like juice boxes~~, ~~but with plasma. No extra effort is needed for them~~ to get ~~pregnant~~. <br><br>~~This~~ is ~~done through staying fit~~, ~~monitoring your ovulation and to stop using those things~~ that ~~are hurting~~ your ~~fertility, and start using the things that~~ will ~~improve it~~. ~~This avoidance results~~ in ~~late detection and hence finally death occurs. There is a bunch of advice about how to get pregnant, fast, effectively, with greater success etc etc and with such a sensitive topic they~~ can be ~~quite insensitive~~. ~~If not~~, ~~are there some changes you can make~~ to ~~better prepare to live on one income~~, ~~such~~ as ~~saving as much as you can each month and paying off high balances on credit cards or other bills~~. ~~Even an environment where people smoke, so much damage and increases~~ the ~~risk of sudden death~~ in ~~children~~.<br><br>If you ~~have virtually any questions regarding wherever along with how you can employ [http://www~~.~~quebec~~-~~1759~~.~~info/sitemap/ ways~~ to get ~~pregnant with twins], you can email us with the web page~~.

			Initial scratch . know exactly what the video game world might have. There are horrors with bad in every space and cranny. Here post includes advice close to [http://photobucket.com/images/optimizing optimizing] your gaming a period of time with tricks and plans you might not be aware of. Continue to reading for more specifics.<br><br>If you loved this short article and you would like to get even more info concerning [http://circuspartypanama.com clash of clans hack no survey] kindly see our website. Lee are able to assist those gems to proper fortify his army. He tapped 'Yes,'" essentially without thinking. Within just under a month pointing to walking around a small number of hours on a each basis, he''d spent near 1000 dollars.<br><br>If you'd like games which have ended up created till now, clash of clans is preferred by men and women. The game which requires players to generate a villages and characters to get forward can quite hard at times. Participants have to carry for different tasks including raids and missions. And be very tough and also players often get trapped in in one place. When this happens, it truly is quite frustrating. However this can be swapped now because there can be a way out of certain.<br><br>Console game playing is excellent kids. Consoles present you with far better control pertaining to content and safety, as much kids can simply wind by way of father or mother regulates on your netbook. Using this step might help to protect your young ones provided by harm.<br><br>Whether you are looking Conflict of Their families Jewels Free, or may possibly just buying a Steal Conflict of Tribes, currently has the smartest choice to your internet, absolutely free and also only takes a couple of minutes to get all these kind of.<br><br>A person's war abject is agnate in your approved village, except that your fights abject will not gain resources. Barrio while in your warfare abject simpley can't be anon improved in addition rearranged, as it on it's own mimics this adjustment yet accomplished completed advancement degrees of your apple throughout the time of alertness day. Showdown bases additionally never charges to take their accessories rearmed, defenses reloaded in addition to characters healed, as these are consistently ready. The association alcazar in that room your war abject bill be abounding alone forward the one in your company whole village.<br><br>You actually are playing a showing activity, and you too don't possess knowledge about it, establish the irritation stage to rookie. This should help owners pick-up in the different options that come while using the game and discover in your direction round the field. Should you set out more than that, you are likely to get frustrated and certainly never possess fun.

en>Snaily: Undid revision 594333705 by 210.212.157.163 (talk)

2014-02-07T12:40:27Z

Undid revision 594333705 by 210.212.157.163 (talk)

← Older revision		Revision as of 14:40, 7 February 2014
Line 1:		Line 1:
	~~In the [[mathematics\|mathematical]] field~~ of ~~[[representation theory]]~~, ~~a '''representation~~ of a ~~Lie superalgebra''' is an [[semigroup action\|action]]~~ of ~~[[Lie superalgebra]] ''L'' on~~ a ~~[[graded vector space\|'''Z'''~~<~~sub~~>2<~~/sub~~>~~-graded vector space]] ''V'', such that if ''A''~~ and ~~''B''~~ are ~~any two pure elements of ''L'' and ''X'' and ''Y''~~ are ~~any two pure elements of ''V''~~, then		Should conventional treatment falters try out alternative treatments. * After sex you may become aware of some white or clear discharge– this is liquefied sperm, and usually disappears within 24 hours of intercourse. You will need to take into consideration always currently being beneficial. Bear in mind, even a 10% reduction in body mass may help reestablish regular menstrual cycles and ovulation. Research has shown that smoking decreases the amount of eggs in a womanâs ovaries. <br><br>The end of the day can be tiring and weekends are generally reserved for chores that are not done during the week. " Well, if you need to understand how to get pregnant fast, then you'll definitely should be a lady with a program. One fantastic program called Pregnancy Miracle offers a report for potential moms-to-be. Simple research can help you to determine what these are. The two young people of the same age, the experience must be extraordinary. <br><br>This kind of meat is also a great source of vitamin B12 which is essential to maintain and develop the nervous system. You will find that reading some hints and tips for Sims game play will surely make your gaming experience a lot more fun as well as more interesting. Â Choose the best vitamins, Fertil - Aid for Women: Female Fertility Supplement">herbs and supplements that work for you in order to achieve your goal. Living a healthier lifestyle can prevent you from having miscarriages and stillbirths. Alcohol can reduce fertility by as much as 50% and decrease sperm counts. <br><br>Just think about it for a moment, babies have an amazing effect on even the most hard-core men & women, a baby causes a staunch person go to all “gagga”. Day one of your menstrual cycle is the day you first see menstrual blood loss even if it is only a drop of blood. If you are to the point where you feel like you have tried everything, even procedures like IVF, and everything has failed, then it is time to start really taking care of your body. Plasma Packs – these look like juice boxes, but with plasma. No extra effort is needed for them to get pregnant. <br><br>This is done through staying fit, monitoring your ovulation and to stop using those things that are hurting your fertility, and start using the things that will improve it. This avoidance results in late detection and hence finally death occurs. There is a bunch of advice about how to get pregnant, fast, effectively, with greater success etc etc and with such a sensitive topic they can be quite insensitive. If not, are there some changes you can make to better prepare to live on one income, such as saving as much as you can each month and paying off high balances on credit cards or other bills. Even an environment where people smoke, so much damage and increases the risk of sudden death in children.<br><br>If you have virtually any questions regarding wherever along with how you can employ [http://www.quebec-1759.info/sitemap/ ways to get pregnant with twins], you can email us with the web page.

	~~:<math>(c_1 A+c_2 B)\cdot X=c_1 A\cdot X + c_2 B\cdot X\,</math>~~

	~~:<math>A\cdot (c_1 X + c_2 Y)=c_1 A\cdot X + c_2 A\cdot Y\,</math>~~

	~~:<math>(~~-~~1)^{A\cdot X}=(~~-~~1)^A(-1)^X\~~,<~~/math~~>

	:<~~math~~>~~[A,B]\cdot X=A\cdot (B\cdot X)-(-1)^{AB}B\cdot (A\cdot X).\,</math>~~

	~~Equivalently, a representation~~ of ~~''L''~~ is a ~~'''Z'''<sub>2</sub>-graded representation~~ of ~~the [[universal enveloping algebra]] of ''L''~~ which ~~respects~~ the ~~third equation above~~.

	~~==Unitary representation of~~ a ~~star Lie superalgebra==~~
	~~A <sup~~></sup> [[Lie superalgebra]] is a ~~complex Lie superalgebra equipped with an [[Involution (mathematics)\|involutive]] [[antilinear]] [[map]]~~ <~~sup~~><~~/sup~~> ~~such that * respects the grading and~~

	:[a,~~b]<sup></sup>=[b<sup></sup>~~,a~~<sup>*</sup>]~~.

	~~A [[unitary representation]]~~ of ~~such a Lie algebra~~ is ~~a '''Z'''<sub>2</sub> [[graded vector space\|graded]] [[Hilbert space]] which~~ is a ~~representation~~ of ~~a Lie superalgebra as above together with~~ the ~~requirement that [[self-adjoint]] elements~~ of ~~the Lie superalgebra are represented by [[Hermitian]] transformations~~.

	~~This is a major concept in the study of [[supersymmetry]] together~~ with ~~representation of a Lie superalgebra on an algebra~~. ~~Say A~~ is ~~an [[star-algebra\|-algebra]] representation of the Lie superalgebra (together with the additional requirement that respects the grading and L[a]~~<~~sup~~><~~/sup~~>~~=-(-1)<sup>La</sup>L<sup></sup>[a<sup>*</sup>])~~ and ~~'''H''' is~~ the ~~unitary rep~~ and ~~also, '''H'''~~ is a ~~[[unitary representation]]~~ of A.

	~~These three reps are all compatible if for pure elements a in A~~, ~~\|ψ> in '''H'''~~ and ~~L in the Lie superalgebra,~~

	~~:L[a\|ψ>)]=(L[a])\|ψ>+(-1)<sup>La</sup>~~a~~(L[\|ψ>])~~.

	~~Sometimes~~, ~~the Lie superalgebra is [[embedding\|embedded]] within A in the sense that~~ there ~~is a homomorphism from the [[universal enveloping algebra]] of the Lie superalgebra~~ to A. ~~In that case~~, the ~~equation above reduces to~~

	~~:L[a]=La-(-1)~~<~~sup~~>La</~~sup>aL~~.

	~~This approach avoids working directly~~ with ~~a Lie supergroup~~, ~~and hence avoids~~ the ~~use of auxiliary [[Grassmann number]]s~~.

	~~==See also==~~
	* [[Graded vector space]]
	* [[Lie algebra representation]]
	* [[Representation theory of Hopf algebras]]

	~~[[Category:Representation theory of Lie algebras]]~~



	~~{{algebra-stub}}~~

en>Monkbot: Fix CS1 deprecated date parameter errors

2014-01-28T10:10:01Z

Fix CS1 deprecated date parameter errors

← Older revision		Revision as of 12:10, 28 January 2014
Line 1:		Line 1:
	~~Wilber Berryhill is~~ the ~~title his parents gave him and he totally digs that title. As~~ a ~~lady what she truly likes~~ is ~~fashion~~ and ~~she~~'~~s been performing it for quite~~ a ~~while. North Carolina~~ is ~~where we~~'~~ve been living for many years and will never move~~. ~~Office supervising~~ is ~~what she does for~~ a ~~residing.~~<br><br>~~Feel free to surf to my web blog~~: ~~free psychic readings;~~ [~~http:~~//~~www~~.~~Mumsnews~~.~~com/blogs/entry/Wondering~~-~~What~~-~~Sort~~-Of-~~Hobby~~-~~Might~~-Be-~~Best www~~.~~Mumsnews~~.~~com try these guys out~~],		In the [[mathematics\|mathematical]] field of [[representation theory]], a '''representation of a Lie superalgebra''' is an [[semigroup action\|action]] of [[Lie superalgebra]] ''L'' on a [[graded vector space\|'''Z'''<sub>2</sub>-graded vector space]] ''V'', such that if ''A'' and ''B'' are any two pure elements of ''L'' and ''X'' and ''Y'' are any two pure elements of ''V'', then

			:<math>(c_1 A+c_2 B)\cdot X=c_1 A\cdot X + c_2 B\cdot X\,</math>

			:<math>A\cdot (c_1 X + c_2 Y)=c_1 A\cdot X + c_2 A\cdot Y\,</math>

			:<math>(-1)^{A\cdot X}=(-1)^A(-1)^X\,</math>

			:<math>[A,B]\cdot X=A\cdot (B\cdot X)-(-1)^{AB}B\cdot (A\cdot X).\,</math>

			Equivalently, a representation of ''L'' is a '''Z'''<sub>2</sub>-graded representation of the [[universal enveloping algebra]] of ''L'' which respects the third equation above.

			==Unitary representation of a star Lie superalgebra==
			A <sup></sup> [[Lie superalgebra]] is a complex Lie superalgebra equipped with an [[Involution (mathematics)\|involutive]] [[antilinear]] [[map]] <sup></sup> such that * respects the grading and

			:[a,b]<sup></sup>=[b<sup></sup>,a<sup>*</sup>].

			A [[unitary representation]] of such a Lie algebra is a '''Z'''<sub>2</sub> [[graded vector space\|graded]] [[Hilbert space]] which is a representation of a Lie superalgebra as above together with the requirement that [[self-adjoint]] elements of the Lie superalgebra are represented by [[Hermitian]] transformations.

			This is a major concept in the study of [[supersymmetry]] together with representation of a Lie superalgebra on an algebra. Say A is an [[star-algebra\|-algebra]] representation of the Lie superalgebra (together with the additional requirement that respects the grading and L[a]<sup></sup>=-(-1)<sup>La</sup>L<sup></sup>[a<sup>*</sup>]) and '''H''' is the unitary rep and also, '''H''' is a [[unitary representation]] of A.

			These three reps are all compatible if for pure elements a in A, \|ψ> in '''H''' and L in the Lie superalgebra,

			:L[a\|ψ>)]=(L[a])\|ψ>+(-1)<sup>La</sup>a(L[\|ψ>]).

			Sometimes, the Lie superalgebra is [[embedding\|embedded]] within A in the sense that there is a homomorphism from the [[universal enveloping algebra]] of the Lie superalgebra to A. In that case, the equation above reduces to

			:L[a]=La-(-1)<sup>La</sup>aL.

			This approach avoids working directly with a Lie supergroup, and hence avoids the use of auxiliary [[Grassmann number]]s.

			==See also==
			* [[Graded vector space]]
			* [[Lie algebra representation]]
			* [[Representation theory of Hopf algebras]]

			[[Category:Representation theory of Lie algebras]]



			{{algebra-stub}}

en>ZéroBot: r2.7.1) (Robot: Adding ca:PRAM

2012-07-31T09:38:42Z

r2.7.1) (Robot: Adding ca:PRAM

New page

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