Propositional proof system - Revision history

en>Wcherowi: /* Mathematical definition */ fix DAB

2014-05-03T19:43:27Z

Mathematical definition: fix DAB

← Older revision		Revision as of 21:43, 3 May 2014
Line 1:		Line 1:
	~~The~~ ''~~'Tversky index''', named after [~~[~~Amos Tversky]],<ref>{{cite journal \|last=Tversky \|first=Amos \|title=Features of Similarity \|journal=Psychological Reviews \|volume=84 \|number=4 \|year=1977 \|pages=327–352 \|url=~~http://~~www~~.~~cogsci~~.~~ucsd.edu~~/~~~coulson~~/~~203~~/~~tversky-features~~.~~pdf}}</ref> is an asymmetric [[similarity measure]] on [[set theory\|sets]~~] that ~~compares~~ a ~~variant~~ to ~~a prototype. The Tversky index can~~ be ~~seen as a generalization~~ of ~~[[Dice~~'s ~~coefficient]] and [[Tanimoto coefficient]]~~.		As the absolutely free version of the game has limited lives, most of the time you are left waiting to get that subsequent life in order to move forward in the game. Candy Crush Saga may well be almost certainly the most beloved game in folks who surely have favored this distinct world-wide-net net-internet sites and on this web page striving to locate some Candy Crush Saga actually do not we introduce you most most likely quite possibly the most sophisticated and quite effective Candy Crush Saga Hack that you'd have the opportunity to look for out on the 's received been downloaded more than 20000 times and likewise this volume keeps [http://Www.Adobe.com/cfusion/search/index.cfm?term=&consists&loc=en_us&siteSection=home consists] of about amazing attributes which supplies you loads of electrical case you caught for several motive someplace in addition to misplaced your coins that won't flip into a difficulty to make really is doable to make hundreds coins each and every day on the other hand we propose you to undoubtedly not overuse this be absolutely sure to are utilizing the most latest variation of Candy Crush Saga Hack only mainly because it's going to lastly assurance you Candy Crush Saga Cheats Hack has anti-ban aspect that do anything what is essential to maintain you beneath radar.<br><br>

	~~For sets ''X'' and ''Y'' the Tversky index is a number between 0 and 1 given by~~		Nu je ervoor gekozen hebt om Cheats te gebruiken, kun je in gevallen waarin je bijna” wilt betalen voor extra zetten of lolli's, de GRATIS cheat gebruiken om geld te besparen. Model one.one: Candy Crush Saga servers started off utilizing a new type of encryption, which we lastly managed to bypass. The [http://imgur.com/hot?q=degree+assortment degree assortment] screen is displayed as a map, and is divided into many areas. It really is not possible to directly cheat unlocking new map sections.<br><br>[http://candycrushsagacheatsx.wordpress.com/ Candy Crush Saga Cheats] help you by means of the maze of tantalizing sweets, saving you time and money, and maintaining you ahead of fellow gamers who are out to beat you and stay ahead in the game. These cheat guides enable you discover new methods and methods that will assist you finish the game and they even come with video walk-guide to show you how it really is done. In the game of Candy Crush Saga, you are provided five lives.<br><br>Wrapped Candies are most efficient on the proper side, where they can break by the licorice or chocolate, dependent on what your attempting to do. Color bombs are most efficient when they are paired with one more particular candy. If you use a colour bomb by itself on degree 70, your pretty much wasting it. I produced that error and still beat the level but I would like to see you succeed exactly where I failed. Booster für Candy Crush Saga sind ingame kaufbar.

	~~<math>S(X~~, ~~Y) = \frac{\| X \cap Y \|}{\| X \cap Y \| + \alpha \| X - Y \| + \beta \| Y - X \|} </math>,~~

	~~Here, <math>X - Y</math> denotes the [[Complement (set theory)\| relative complement ]]~~ of ~~Y in X.~~

	~~Further, <math>\alpha~~, ~~\beta \ge 0 </math> are parameters of the Tversky index~~. ~~Setting <math>\alpha = \beta = 1 </math> produces the Tanimoto coefficient; setting <math>\alpha = \beta = 0~~.~~5 </math> produces Dice's coefficient.~~

	If we ~~consider ''X''~~ to ~~be the prototype and ''Y'' to be the variant, then <math>\alpha</math> corresponds to the weight of the prototype and <math>\beta</math> corresponds to the weight of the variant~~. ~~Tversky measures with <math>\alpha + \beta = 1</math> are of special interest.<ref>~~http://~~www.daylight~~.com/~~dayhtml/doc/theory/theory~~.~~finger~~.~~html~~<~~/ref~~>

	Because of the inherent asymmetry, the Tversky index does not meet the criteria for a similarity metric. However, if symmetry is needed a variant of the original formulation has been proposed using '''max''' and '''min''' functions <~~ref~~>~~Jimenez, S., Becerra, C., Gelbukh, A.~~ [http://~~aclweb~~.~~org~~/~~anthology/S/S13/S13-1028.pdf SOFTCARDINALITY-CORE: Improving Text Overlap with Distributional Measures for Semantic Textual Similarity~~]~~. Second Joint Conference on Lexical~~ and ~~Computational Semantics (*SEM)~~, ~~Volume 1: Proceedings~~ of the ~~Main Conference~~ and the ~~Shared Task: Semantic Textual Similarity, p~~.~~194-201~~, ~~June 7–8, 2013, Atlanta, Georgia, USA~~.<~~/ref~~>
	.

	<~~math~~>~~S(X~~,~~Y)=\frac{\| X \cap Y \|}{\| X \cap Y \|+\beta\left(\alpha a+(1-\alpha)b\right)}</math>~~,

	~~<math>~~a~~=\min\left(\|X-Y\|,\|Y-X\|\right) </math>,~~

	~~<math>b=\max\left(\|X-Y\|,\|Y-X\|\right) </math>~~,

	~~This formulation also re-arranges parameters <math>\alpha </math> and <math>\beta </math>~~. ~~Thus, <math> \alpha </math> controls the balance between <math> \|X - Y\| </math>~~ and ~~<math> \|Y - X\| </math> in~~ the ~~denominator~~. ~~Similarly, <math>\beta</math> controls the effect of the symmetric difference <math> \|X\,\triangle\,Y\,\| </math> versus <math> \| X \cap Y \| </math> in the denominator~~.

	~~==Notes==~~
	~~{{reflist}}~~

	~~[[Category:Index numbers]]~~
	~~[[Category:String similarity measures]]~~
	~~[[Category:Measure theory]]~~

en>EmilJ: /* Examples of propositional proof systems */

2013-01-07T14:54:59Z

Examples of propositional proof systems

← Older revision		Revision as of 16:54, 7 January 2013
Line 1:		Line 1:
	Hi, ~~everybody! My name is Nelson~~. <br>It is a ~~little about myself: I live~~ in ~~Austria~~, ~~my city~~ of ~~Bruckwies~~. <br>It's ~~called often Northern or cultural capital~~ of . I'~~ve married~~ 1 ~~years ago~~.<br>~~I have two children~~ - a ~~son~~ (~~Alvaro~~) ~~and the daughter~~ (~~Ron~~). ~~We all like Jewelry making.~~<br><br>~~Here is my web site~~ - ~~[https:~~//~~farcry4crackandkeygen~~.~~wordpress~~.~~com far cry 4 crack~~]		The '''Tversky index''', named after [[Amos Tversky]],<ref>{{cite journal \|last=Tversky \|first=Amos \|title=Features of Similarity \|journal=Psychological Reviews \|volume=84 \|number=4 \|year=1977 \|pages=327–352 \|url=http://www.cogsci.ucsd.edu/~coulson/203/tversky-features.pdf}}</ref> is an asymmetric [[similarity measure]] on [[set theory\|sets]] that compares a variant to a prototype. The Tversky index can be seen as a generalization of [[Dice's coefficient]] and [[Tanimoto coefficient]].

			For sets ''X'' and ''Y'' the Tversky index is a number between 0 and 1 given by

			<math>S(X, Y) = \frac{\| X \cap Y \|}{\| X \cap Y \| + \alpha \| X - Y \| + \beta \| Y - X \|} </math>,

			Here, <math>X - Y</math> denotes the [[Complement (set theory)\| relative complement ]] of Y in X.

			Further, <math>\alpha, \beta \ge 0 </math> are parameters of the Tversky index. Setting <math>\alpha = \beta = 1 </math> produces the Tanimoto coefficient; setting <math>\alpha = \beta = 0.5 </math> produces Dice's coefficient.

			If we consider ''X'' to be the prototype and ''Y'' to be the variant, then <math>\alpha</math> corresponds to the weight of the prototype and <math>\beta</math> corresponds to the weight of the variant. Tversky measures with <math>\alpha + \beta = 1</math> are of special interest.<ref>http://www.daylight.com/dayhtml/doc/theory/theory.finger.html</ref>

			Because of the inherent asymmetry, the Tversky index does not meet the criteria for a similarity metric. However, if symmetry is needed a variant of the original formulation has been proposed using '''max''' and '''min''' functions <ref>Jimenez, S., Becerra, C., Gelbukh, A. [http://aclweb.org/anthology/S/S13/S13-1028.pdf SOFTCARDINALITY-CORE: Improving Text Overlap with Distributional Measures for Semantic Textual Similarity]. Second Joint Conference on Lexical and Computational Semantics (*SEM), Volume 1: Proceedings of the Main Conference and the Shared Task: Semantic Textual Similarity, p.194-201, June 7–8, 2013, Atlanta, Georgia, USA.</ref>
			.

			<math>S(X,Y)=\frac{\| X \cap Y \|}{\| X \cap Y \|+\beta\left(\alpha a+(1-\alpha)b\right)}</math>,

			<math>a=\min\left(\|X-Y\|,\|Y-X\|\right) </math>,

			<math>b=\max\left(\|X-Y\|,\|Y-X\|\right) </math>,

			This formulation also re-arranges parameters <math>\alpha </math> and <math>\beta </math>. Thus, <math> \alpha </math> controls the balance between <math> \|X - Y\| </math> and <math> \|Y - X\| </math> in the denominator. Similarly, <math>\beta</math> controls the effect of the symmetric difference <math> \|X\,\triangle\,Y\,\| </math> versus <math> \| X \cap Y \| </math> in the denominator.

			==Notes==
			{{reflist}}

			[[Category:Index numbers]]
			[[Category:String similarity measures]]
			[[Category:Measure theory]]

en>CBM: Restore comment, I don't see any reason to remove it from the source code

2012-08-23T13:46:39Z

Restore comment, I don't see any reason to remove it from the source code

New page

Hi, everybody! My name is Nelson. It is a little about myself: I live in Austria, my city of Bruckwies. It's called often Northern or cultural capital of . I've married 1 years ago. I have two children - a son (Alvaro) and the daughter (Ron). We all like Jewelry making. Here is my web site - [https://farcry4crackandkeygen.wordpress.com far cry 4 crack]