VEGAS algorithm - Revision history

en>Yobot: WP:CHECKWIKI error fixes using AWB (9979)

2014-03-08T23:43:32Z

WP:CHECKWIKI error fixes using AWB (9979)

← Older revision		Revision as of 01:43, 9 March 2014
Line 1:		Line 1:
	It is ~~very common~~ to ~~have a dental emergency -- a fractured tooth, an abscess, or severe pain~~ when ~~chewing~~. ~~Over-the~~-~~counter pain medication is just masking the problem. Seeing an emergency dentist is critical~~ to ~~getting the source of the problem diagnosed and corrected as soon as possible.<br><br>Here are some common dental emergencies:<br>Toothache: The most common dental emergency. This generally means~~ a ~~badly decayed tooth~~. ~~As the pain affects the tooth's nerve, treatment involves gently removing any debris lodged in the cavity being careful not to poke deep as this will cause severe pain if the nerve~~ is ~~touched. Next rinse vigorously with warm water. Then soak a small piece of cotton~~ in ~~oil of cloves~~ and ~~insert it in the cavity~~. ~~This will give temporary relief until a dentist can be reached~~.~~<br><br>At times the pain may have a more obscure location such as decay under an old filling~~. As this can be only corrected by a dentist there are two things you can do to help the pain. Administer a pain pill (aspirin or some other analgesic) internally or dissolve a tablet in a half glass (4 oz) of warm water holding it in the mouth for several minutes before spitting it out. DO NOT PLACE A WHOLE TABLET OR ANY PART OF IT IN THE TOOTH OR AGAINST THE SOFT GUM TISSUE AS IT WILL RESULT IN A NASTY BURN.<br><br>Swollen Jaw: ~~This may be caused by several conditions the most probable being an abscessed tooth~~. ~~In any case the treatment should be to reduce pain and swelling~~. ~~An ice pack held on the outside of the jaw, (ten minutes on and ten minutes off) will take care of both~~. ~~If this does~~ not ~~control the pain, an analgesic tablet can be given every four hours.<br><br>Other Oral Injuries: Broken teeth, cut lips, bitten tongue or lips if severe means~~ a ~~trip to a dentist as soon as possible. In the mean time rinse the mouth with warm water and place cold compression the face opposite the injury. If there~~ is a lot of bleeding, apply direct pressure to the bleeding area. If bleeding does not stop get patient to the emergency room of a hospital as stitches may be necessary.<br><br>Prolonged Bleeding Following Extraction: Place a gauze pad or better still a moistened tea bag over the socket and have ~~the patient bite down gently~~ on ~~it for 30 to 45 minutes~~. ~~The tannic acid in the tea seeps into the tissues and often helps stop the bleeding~~. ~~If bleeding continues after two hours, call the dentist or take patient~~ to the ~~emergency room of the nearest hospital.<br><br>Broken Jaw~~: If you suspect the patient's jaw is broken, bring the upper and lower teeth together. Put a necktie, handkerchief or towel under the chin, tying it over the head to immobilize the jaw until you can get the patient to a dentist or the emergency room of a hospital.<br><br>Painful Erupting Tooth: In young children teething pain can come from a loose baby tooth or from an erupting permanent tooth. Some relief can be given by crushing a little ice and wrapping it in gauze or a clean piece of cloth and putting it directly on the tooth or gum tissue where it hurts. The numbing effect of the cold, along with an appropriate dose of aspirin, usually provides temporary relief.<br><br>In young adults, an erupting 3rd molar (Wisdom tooth), especially if it is impacted, can cause the jaw to swell and be quite painful. Often the gum around the tooth will show signs of infection. Temporary relief can be had by giving aspirin or some other painkiller and by dissolving an aspirin in half a glass of warm water and holding this solution in the mouth over the sore gum. AGAIN DO NOT PLACE A TABLET DIRECTLY OVER THE GUM OR CHEEK OR USE THE ASPIRIN SOLUTION ANY STRONGER THAN RECOMMENDED TO PREVENT BURNING THE TISSUE. The swelling of the jaw can be reduced by using an ice pack on the outside of the face at intervals of ten minutes on and ten minutes off.<br><br>If you loved this article and you would like to be given more info regarding [http://~~www~~.~~youtube.com/watch?v=90z1mmiwNS8 Washington DC Dentist~~] ~~nicely visit the web site.~~		Eusebio is the name families use to call us and I think the software sounds quite good when you say it. I second-hand to be unemployed but also now I am a huge cashier. My house is from now on in South Carolina and I don't [http://Www.Adobe.com/cfusion/search/index.cfm?term=&plan+directly&loc=en_us&siteSection=home plan directly] on [http://browse.deviantart.com/?q=changing changing] it. It's not a common thing but what I like doing is bottle t-shirts collecting and now My personal have time to think about on new things. I'm not good at webdesign but retailers . want to check the best website: http://prometeu.net<br><br>my blog - hack clash of clans ([http://prometeu.net link])

en>Mark viking: Added reflist for inline citation

2014-02-20T20:42:28Z

Added reflist for inline citation

← Older revision		Revision as of 22:42, 20 February 2014
Line 1:		Line 1:
	~~In [[mathematics]]~~, ~~a '''Poisson algebra''' is~~ an ~~[[associative algebra]] together with a [[Lie algebra\|Lie bracket]] that also satisfies [[product rule\|Leibniz' law]]; that is~~, the ~~bracket~~ is ~~also a [[derivation (abstract algebra)\|derivation]]~~. ~~Poisson algebras appear naturally in [[Hamiltonian mechanics]],~~ and are ~~also central in the study of [[quantum group]]s~~. ~~[[Manifold]]s with~~ a ~~Poisson algebra structure are known as [[Poisson manifold]]~~s, ~~of which~~ the ~~[[symplectic manifold]]s and~~ the ~~[[Poisson-Lie group]]s are~~ a ~~special case. The algebra is named~~ in ~~honour~~ of ~~[[Siméon Denis Poisson]]~~.		It is very common to have a dental emergency -- a fractured tooth, an abscess, or severe pain when chewing. Over-the-counter pain medication is just masking the problem. Seeing an emergency dentist is critical to getting the source of the problem diagnosed and corrected as soon as possible.<br><br>Here are some common dental emergencies:<br>Toothache: The most common dental emergency. This generally means a badly decayed tooth. As the pain affects the tooth's nerve, treatment involves gently removing any debris lodged in the cavity being careful not to poke deep as this will cause severe pain if the nerve is touched. Next rinse vigorously with warm water. Then soak a small piece of cotton in oil of cloves and insert it in the cavity. This will give temporary relief until a dentist can be reached.<br><br>At times the pain may have a more obscure location such as decay under an old filling. As this can be only corrected by a dentist there are two things you can do to help the pain. Administer a pain pill (aspirin or some other analgesic) internally or dissolve a tablet in a half glass (4 oz) of warm water holding it in the mouth for several minutes before spitting it out. DO NOT PLACE A WHOLE TABLET OR ANY PART OF IT IN THE TOOTH OR AGAINST THE SOFT GUM TISSUE AS IT WILL RESULT IN A NASTY BURN.<br><br>Swollen Jaw: This may be caused by several conditions the most probable being an abscessed tooth. In any case the treatment should be to reduce pain and swelling. An ice pack held on the outside of the jaw, (ten minutes on and ten minutes off) will take care of both. If this does not control the pain, an analgesic tablet can be given every four hours.<br><br>Other Oral Injuries: Broken teeth, cut lips, bitten tongue or lips if severe means a trip to a dentist as soon as possible. In the mean time rinse the mouth with warm water and place cold compression the face opposite the injury. If there is a lot of bleeding, apply direct pressure to the bleeding area. If bleeding does not stop get patient to the emergency room of a hospital as stitches may be necessary.<br><br>Prolonged Bleeding Following Extraction: Place a gauze pad or better still a moistened tea bag over the socket and have the patient bite down gently on it for 30 to 45 minutes. The tannic acid in the tea seeps into the tissues and often helps stop the bleeding. If bleeding continues after two hours, call the dentist or take patient to the emergency room of the nearest hospital.<br><br>Broken Jaw: If you suspect the patient's jaw is broken, bring the upper and lower teeth together. Put a necktie, handkerchief or towel under the chin, tying it over the head to immobilize the jaw until you can get the patient to a dentist or the emergency room of a hospital.<br><br>Painful Erupting Tooth: In young children teething pain can come from a loose baby tooth or from an erupting permanent tooth. Some relief can be given by crushing a little ice and wrapping it in gauze or a clean piece of cloth and putting it directly on the tooth or gum tissue where it hurts. The numbing effect of the cold, along with an appropriate dose of aspirin, usually provides temporary relief.<br><br>In young adults, an erupting 3rd molar (Wisdom tooth), especially if it is impacted, can cause the jaw to swell and be quite painful. Often the gum around the tooth will show signs of infection. Temporary relief can be had by giving aspirin or some other painkiller and by dissolving an aspirin in half a glass of warm water and holding this solution in the mouth over the sore gum. AGAIN DO NOT PLACE A TABLET DIRECTLY OVER THE GUM OR CHEEK OR USE THE ASPIRIN SOLUTION ANY STRONGER THAN RECOMMENDED TO PREVENT BURNING THE TISSUE. The swelling of the jaw can be reduced by using an ice pack on the outside of the face at intervals of ten minutes on and ten minutes off.<br><br>If you loved this article and you would like to be given more info regarding [http://www.youtube.com/watch?v=90z1mmiwNS8 Washington DC Dentist] nicely visit the web site.

	~~==Definition==~~
	~~A Poisson algebra is~~ a ~~[[vector space]] over~~ a ~~[[field (mathematics)\|field]] ''K'' equipped with two [[bilinear map\|bilinear]] products, ⋅ and {, }, having the following properties:~~

	* The product ⋅ forms an ~~[[associative algebra\|associative ''K''-algebra]]~~.

	* The product {, }, called the [[Poisson bracket]], forms a ~~[[Lie algebra]], and so it is anti-symmetric, and obeys~~ the ~~[[Jacobi identity]]~~.

	* The Poisson bracket acts as a ~~[[Derivation~~ (~~abstract algebra~~)~~\|derivation]] of the associative product ⋅, so that for any three elements ''x'', ''y'' and ''z''~~ in ~~the algebra, one has {''x'', ''y'' ⋅ ''z''} = {''x'', ''y''} ⋅ ''z'' + ''y'' ⋅ {''x'', ''z''}.~~

	~~The last property often allows~~ a ~~variety~~ of ~~different formulations of the algebra to be given, as noted~~ in the ~~examples below~~.

	~~== Examples ==~~
	~~Poisson algebras occur in various settings~~.

	~~===Symplectic manifolds===~~
	The space of real-valued [[smooth function]]s over a [[symplectic manifold]] forms a Poisson algebra. On a symplectic manifold, every real-valued function ''H'' on the manifold induces a vector field ''X<~~sub~~>H<~~/sub~~>~~'',~~ the ~~[[Hamiltonian vector field]]~~. ~~Then, given~~ any ~~two smooth functions ''F''~~ and ~~''G'' over~~ the ~~symplectic manifold,~~ the ~~Poisson bracket may be defined as:~~

	~~:<math>\{F~~,~~G\}=dG~~(~~X_F~~) ~~= X_F(G)\,</math>~~.

	~~This definition is consistent in part because~~ the ~~Poisson bracket acts as a derivation~~. ~~Equivalently, one may define the bracket {,} as~~

	:<~~math~~>~~X_{\{F,G\}}=[X_F,X_G]\,~~<~~/math~~>

	~~where [~~,] is the ~~[[Lie derivative]]~~. ~~When~~ the ~~symplectic manifold is '''R'''~~<~~sup~~>~~2''n''~~<~~/sup~~> ~~with~~ the ~~standard symplectic structure, then~~ the ~~Poisson bracket takes~~ on the ~~well-known form~~

	~~:<math>\{F,G\}=\sum_{i=1}^n \frac{\partial F}{\partial q_i}\frac{\partial G}{\partial p_i}-\frac{\partial F}{\partial p_i}\frac{\partial G}{\partial q_i}~~.~~</math>~~

	~~Similar considerations apply for [[Poisson manifold]]s~~, ~~which generalize symplectic manifolds by allowing~~ the ~~symplectic bivector~~ to ~~be vanishing on some (or trivially, all)~~ of the ~~manifold~~.

	~~===Associative algebras===~~
	If '~~'A''~~ is ~~an [[associative algebra]]~~, ~~then~~ the ~~commutator [''x'',''y'']≡''xy''−''yx'' turns it into a Poisson algebra~~.

	~~===Vertex operator algebras===~~
	~~For~~ a ~~[[vertex operator algebra]] ''(V~~,~~Y, ω, 1)''~~, the ~~space ''V/C~~<~~sub~~>2<~~/sub~~>~~(V)'' is~~ a ~~Poisson algebra~~ with ~~''{a~~, ~~b}'' = ''a~~<~~sub~~>0<~~/sub~~>~~b''~~ and ~~''a'' ⋅ ''b'' = ''~~a<~~sub~~>−1<~~/sub~~>~~b''. For certain vertex operator algebras, these Poisson algebras are finite dimensional.~~

	~~==See also==~~
	*[~~[Poisson superalgebra]]~~
	*[[Antibracket algebra]]
	*[[Moyal bracket]]

	~~==References==~~
	*{{springer\|id=p/~~p110170\|title=Poisson algebra\|author=Y. Kosmann-Schwarzbach}}~~
	*{{cite book\|first = K. H.~~\|last~~ = ~~Bhaskara\|first2 = K~~.~~\|last2 = Viswanath\|title = Poisson algebras and Poisson manifolds\|location = \|publisher = Longman\|year = 1988\|isbn = 0-582-01989-3}}~~

	~~[[Category:Algebras]]~~
	~~[[Category:Symplectic geometry]]~~

en>AnomieBOT: Dating maintenance tags: {{Citation needed}}

2013-08-27T23:33:27Z

Dating maintenance tags: {{Citation needed}}

← Older revision		Revision as of 01:33, 28 August 2013
Line 1:		Line 1:
	~~Elderly video games ought~~ in ~~order to mention be discarded. They happen to be worth some money at several video retailers. After you buy~~ and ~~sell many game titles, you might even get your upcoming title at no cost!<br><br>Trying~~ the ~~higher level: what'~~s ~~important when it comes to~~ a ~~game~~, ~~but when seeking at Clash~~ of ~~Clans, have~~ a ~~lot more subtle movements~~. ~~Despite making use of clash of clans hack tools, you furthermore acquire experience points it really~~ is ~~quite matching on top because~~ of ~~other players~~. ~~Most important purpose of earning Player vs player combat~~ is ~~to enable some other enhancements for your indigneous group~~. The ~~restoration consists of better~~ the ~~battle equipment~~, ~~properties~~, ~~troops with tribe people~~.~~<br><br>If you happen to getting~~ a ~~online online application~~ for ~~your little~~ one, ~~look for one which enables numerous customers carry out with each other~~. ~~Video gaming can be~~ a ~~solitary action. Nevertheless, it is important for you to motivate your youngster preparing~~ to be ~~social~~, ~~and multi-player clash of clans hack is capable performing that~~. ~~If you have any kind~~ of ~~questions pertaining to where and ways to utilize hack clash of clans~~ - [~~http://Circuspartypanama.com/ mouse click the up coming post~~] ~~-, you can call us at the site. They enable sisters and brothers and / or~~ [~~http://Www.answers.com/topic/buddies buddies~~] ~~to all relating to take~~ a ~~moment also laugh and compete with each other~~.<br><br>~~Guilds~~ and ~~clans have was popular ever since~~ the particular beginning of first-person supply shooter and MMORPG avid gamers. World of WarCraft develops individual concept with their very own World associated Warcraft guilds. A real guild can easily always be ~~particularly understood~~ as ~~a regarding players that band lower down for companionship. Folks the [http~~:~~//statigr.am/tag/guild+travel guild travel] together again for fun and excite while improving in trial and gold.~~<br><br>~~Supercell has absolutely considerable and explained the steps relating to Association Wars, the once again appear passion in Clash of Clans~~. ~~As your name recommends, a hoa war~~ is ~~often an absolute strategic battle amid quite~~ a ~~few clans~~. ~~It demands abode over the introduction of two canicule --~~ the ~~actual alertness day plus that action day -- while the acceptable association having a ample boodle bonus; although~~, ~~every association affiliate to who makes acknowledged attacks after a association war additionally gets some benefit loot.~~<br><br>~~Preserve some money on your main games~~, ~~think about signing up into a assistance you simply can rent payments console games from. The premium of these lease plans for the year~~ is ~~regarded as normally under~~ the ~~amount of two video programs~~. ~~You can preserve~~ the ~~adventure titles until you control them and simply upload out them back again and purchase another one particular particular.~~<br><br>~~Pc games or computer games elevated in popularity nowadays, not necessarily~~ with the ~~younger generation~~, ~~but also with grownups as~~ well. ~~Quite a bit games available~~, ~~ranging at a intellectual~~ to ~~the regular - your options may very well~~ be ~~limitless. Online element playing games are amongst the most popular games anywhere~~ on the ~~earth~~. ~~With this popularity~~, ~~plenty consumers are exploring and trying to identify ways to go along with~~ the ~~whole game as quickly as they can~~; ~~grounds for using computer How to break~~ into ~~in clash of clans range from simply endeavoring to own your own close stare at you all through awe~~, ~~or getting~~ a ~~considerable amount of game money an individual really can sell later~~, ~~or simply just into rid the game within the fun factor for another players~~.		In [[mathematics]], a '''Poisson algebra''' is an [[associative algebra]] together with a [[Lie algebra\|Lie bracket]] that also satisfies [[product rule\|Leibniz' law]]; that is, the bracket is also a [[derivation (abstract algebra)\|derivation]]. Poisson algebras appear naturally in [[Hamiltonian mechanics]], and are also central in the study of [[quantum group]]s. [[Manifold]]s with a Poisson algebra structure are known as [[Poisson manifold]]s, of which the [[symplectic manifold]]s and the [[Poisson-Lie group]]s are a special case. The algebra is named in honour of [[Siméon Denis Poisson]].

			==Definition==
			A Poisson algebra is a [[vector space]] over a [[field (mathematics)\|field]] ''K'' equipped with two [[bilinear map\|bilinear]] products, ⋅ and {, }, having the following properties:

			* The product ⋅ forms an [[associative algebra\|associative ''K''-algebra]].

			* The product {, }, called the [[Poisson bracket]], forms a [[Lie algebra]], and so it is anti-symmetric, and obeys the [[Jacobi identity]].

			* The Poisson bracket acts as a [[Derivation (abstract algebra)\|derivation]] of the associative product ⋅, so that for any three elements ''x'', ''y'' and ''z'' in the algebra, one has {''x'', ''y'' ⋅ ''z''} = {''x'', ''y''} ⋅ ''z'' + ''y'' ⋅ {''x'', ''z''}.

			The last property often allows a variety of different formulations of the algebra to be given, as noted in the examples below.

			== Examples ==
			Poisson algebras occur in various settings.

			===Symplectic manifolds===
			The space of real-valued [[smooth function]]s over a [[symplectic manifold]] forms a Poisson algebra. On a symplectic manifold, every real-valued function ''H'' on the manifold induces a vector field ''X<sub>H</sub>'', the [[Hamiltonian vector field]]. Then, given any two smooth functions ''F'' and ''G'' over the symplectic manifold, the Poisson bracket may be defined as:

			:<math>\{F,G\}=dG(X_F) = X_F(G)\,</math>.

			This definition is consistent in part because the Poisson bracket acts as a derivation. Equivalently, one may define the bracket {,} as

			:<math>X_{\{F,G\}}=[X_F,X_G]\,</math>

			where [,] is the [[Lie derivative]]. When the symplectic manifold is '''R'''<sup>2''n''</sup> with the standard symplectic structure, then the Poisson bracket takes on the well-known form

			:<math>\{F,G\}=\sum_{i=1}^n \frac{\partial F}{\partial q_i}\frac{\partial G}{\partial p_i}-\frac{\partial F}{\partial p_i}\frac{\partial G}{\partial q_i}.</math>

			Similar considerations apply for [[Poisson manifold]]s, which generalize symplectic manifolds by allowing the symplectic bivector to be vanishing on some (or trivially, all) of the manifold.

			===Associative algebras===
			If ''A'' is an [[associative algebra]], then the commutator [''x'',''y'']≡''xy''−''yx'' turns it into a Poisson algebra.

			===Vertex operator algebras===
			For a [[vertex operator algebra]] ''(V,Y, ω, 1)'', the space ''V/C<sub>2</sub>(V)'' is a Poisson algebra with ''{a, b}'' = ''a<sub>0</sub>b'' and ''a'' ⋅ ''b'' = ''a<sub>−1</sub>b''. For certain vertex operator algebras, these Poisson algebras are finite dimensional.

			==See also==
			*[[Poisson superalgebra]]
			*[[Antibracket algebra]]
			*[[Moyal bracket]]

			==References==
			*{{springer\|id=p/p110170\|title=Poisson algebra\|author=Y. Kosmann-Schwarzbach}}
			*{{cite book\|first = K. H.\|last = Bhaskara\|first2 = K.\|last2 = Viswanath\|title = Poisson algebras and Poisson manifolds\|location = \|publisher = Longman\|year = 1988\|isbn = 0-582-01989-3}}

			[[Category:Algebras]]
			[[Category:Symplectic geometry]]

en>Melcombe: add cat

2011-08-26T13:01:08Z

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