Margrabe's formula - Revision history

41.160.150.196 at 08:27, 15 July 2014

2014-07-15T08:27:07Z

← Older revision		Revision as of 10:27, 15 July 2014
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	~~A '''Cartesian monoid''' is a [[monoid]]~~, ~~with additional structure~~ of ~~pairing~~ and ~~projection operators~~. It ~~was first formulated by~~ [~~[Dana Scott]~~] and [~~[Joachim Lambek]] independently~~.

	~~== Definition~~ ==

	~~A Cartesian monoid is a [[Structure (mathematical logic)\|structure]~~] ~~with [[Signature (logic~~)\|signature]] <math>\langle ,e,(-~~,-),L,R\rangle</math> where <math></math>~~ and <~~math~~>~~(-,-)~~<~~/math~~> ~~are [[binary operations]]~~, ~~<math>L~~, R</~~math>, and <math>e<~~/~~math> are constants satisfying the following [[axioms~~]~~] for~~ all ~~<math>x~~,~~y,z</math> in its [[Domain~~ of ~~discourse\|universe]]:~~
	~~; '''Monoid''' :~~ <~~math~~>*<~~/math~~> is a ~~monoid with identity <math>e</math>~~
	; '~~''Left Projection''' : <math>L * (x~~,~~\,y) = x~~ <~~/math~~>
	~~; '''Right Projection''' :~~<~~math~~>~~R * (x~~,\,~~y) = y</math>~~
	~~; '''Surjective Pairing''' :<math> (Lx~~,\,~~Rx) = x</math>~~
	; '~~''Right Homogeneity''' :~~<~~math~~> ~~(xz,\,yz)=(x,\,y) * z~~<~~/math~~>

	~~The interpretation~~ is that <~~math~~>L<~~/math~~> and <~~math~~>R<~~/math~~> ~~are left~~ and ~~right projection functions respectively~~ for ~~the pairing function <math>(~~-~~,-)</math>~~.

	~~[[Category:Mathematical logic]]~~

68.63.42.204: fix a typo

2014-01-05T20:53:33Z

fix a typo

← Older revision		Revision as of 22:53, 5 January 2014
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	~~Heard somebody say that someone else has a perfect smile?~~ A ~~tremendous smile~~ is ~~revered as symbolic~~ of ~~health~~ and ~~vitality~~. ~~This~~ is a ~~fairly common occurrence website white~~, ~~beautiful smile can develop a lasting impression on others. Click here article out to learn ideas to give you a celebrity smile.~~<br><br>~~Don't just cry in case you have a toothache. Call the emergency dentist Austin, TX immediately~~ and ~~buy the proper toothache remedy to help ease and cure the painful sensation. Follow the advice on the dentist regarding how to properly care your oral and dental vigor.~~<br><br>~~Of course, any persistent health problems should be investigated by your vet, as well as the same is rue any special dietary needs. But in general you'll know should you be friend has tampa dental (~~[~~https://www.youtube.com/watch?v=4To0cBm6IsM click through the next website~~]~~) been performing well in regards to the diet you're feeding your dog. If you see signs that he isn't~~, ~~consider using a different formula or another brand of premium dog food.~~<br><br>~~The dentist will review your records~~ and ask you some questions concerning your dental an animal's hygiene. The dentist might take some x-rays of mouth area in order to obtain a good examine the associated with your mouth and the way your teeth have formed. They will see any issues they'll discuss easy methods to handle them. The dentist probably will do a radical cleaning of your teeth and remove any plaque that they find. Can teach you help provide you a new beginning toward healthy teeth. Young children will also likely get x-rays from the dentist make sure that they possess a point to start from which they watch enamel grow. Coach you on be added to the child's chart.<br><br>If the ~~staining is~~ all ~~across the board~~, ~~so to speak~~, ~~you can also find several choices you. At-home kits employed~~ in ~~supermarkets and pharmacies, significantly quite popular - dentist and also~~ of ~~them do activity well. Ask your pharmacists or staff who often work that section in the store notice what they~~'~~ve noticed~~ is ~~selling most suitable.~~<br><br>~~The third way could limit God in our lifetimes is by feeling not worth. Countless Christians~~, ~~because of guilt and condemnation~~, ~~don~~'~~t feel worthy to let God know their requests. They do not consider God consider using any means for them because of its past sins~~, ~~and thus~~, ~~they limit God associated with lives.~~<br><br>~~If you liked this report and you would like to acquire more data with regards to tampa dental~~ (~~[https:~~/~~/www.youtube.com/watch?v=4To0cBm6IsM click through the next website]) kindly visit our web-site. When asked what happened to your position, be truthful but limited. There~~'~~s no need to justify your position. For example, if your position was eliminated during a reduction in force, that~~'~~s enough guideline. It~~'~~s hard to find someone who hasn~~'~~t been impacted with layoff~~, ~~either directly or indirectly~~, ~~fairly a few people will understand. Capable of applies to both networking~~ and ~~interview situations~~.		{{Orphan\|date=July 2013}}

			A '''Cartesian monoid''' is a [[monoid]], with additional structure of pairing and projection operators. It was first formulated by [[Dana Scott]] and [[Joachim Lambek]] independently.

			== Definition ==

			A Cartesian monoid is a [[Structure (mathematical logic)\|structure]] with [[Signature (logic)\|signature]] <math>\langle ,e,(-,-),L,R\rangle</math> where <math></math> and <math>(-,-)</math> are [[binary operations]], <math>L, R</math>, and <math>e</math> are constants satisfying the following [[axioms]] for all <math>x,y,z</math> in its [[Domain of discourse\|universe]]:
			; '''Monoid''' : <math>*</math> is a monoid with identity <math>e</math>
			; '''Left Projection''' : <math>L * (x,\,y) = x </math>
			; '''Right Projection''' :<math>R * (x,\,y) = y</math>
			; '''Surjective Pairing''' :<math> (Lx,\,Rx) = x</math>
			; '''Right Homogeneity''' :<math> (xz,\,yz)=(x,\,y) * z</math>

			The interpretation is that <math>L</math> and <math>R</math> are left and right projection functions respectively for the pairing function <math>(-,-)</math>.

			[[Category:Mathematical logic]]

en>Fintor: rmv more usual math formating

2012-06-28T07:30:20Z

rmv <center></center> more usual math formating

New page

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