Methods of computing square roots - Revision history

en>Dicklyon: Reverted 2 edits by 125.60.240.218 (talk): Junk. (TW)

2015-01-13T06:11:00Z

Reverted 2 edits by 125.60.240.218 (talk): Junk. (TW)

← Older revision		Revision as of 08:11, 13 January 2015
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	~~Wilber Berryhill is the title his parents gave him~~ and ~~he totally digs that title. Alaska~~ is ~~where~~ I've ~~always~~ been ~~residing~~. ~~The preferred hobby for him~~ and ~~his kids is to play lacross~~ and he ~~would by no means give~~ it ~~up. Invoicing is my occupation~~.<br><br>~~Review my blog post~~ [http://www.~~seekavideo~~.~~com/playlist/2199~~/~~video~~/ psychic ~~readings online~~]		Hi there, I am Sophia. What me and my family love is performing ballet but I've been using on new things recently. Distributing manufacturing is where my main earnings arrives from and it's something I truly appreciate. For many years he's been living in Mississippi and he doesn't strategy on altering it.<br><br>My website :: [http://www.chk.woobi.co.kr/xe/?document_srl=346069 accurate psychic predictions]

en>Smalljim: Reverted edits by 24.96.160.63 (talk): editing tests (HG)

2014-02-28T22:33:25Z

Reverted edits by 24.96.160.63 (talk): editing tests (HG)

← Older revision		Revision as of 00:33, 1 March 2014
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	~~In [[computer science]], the '''shortest common supersequence problem'''~~ is ~~a problem closely related to~~ the ~~[[longest common subsequence problem]]. Given two sequences '''X''' = < x<sub>1</sub>,...,x<sub>m</sub> >~~ and ~~'''Y''' = < y<sub>1</sub>,..~~.~~,y<sub>n</sub> >, a sequence '''U''' = < u<sub>1</sub>,...,u<sub>k</sub> > is a common supersequence of '''X''' and '''Y''' if '''U'''~~ is ~~a supersequence of both '''X''' and '''Y''~~'. ~~In other words, the shortest common supersequence between strings x and y is the shortest string z such that both x and y are [[subsequence]]s of z.~~		Wilber Berryhill is the title his parents gave him and he totally digs that title. Alaska is where I've always been residing. The preferred hobby for him and his kids is to play lacross and he would by no means give it up. Invoicing is my occupation.<br><br>Review my blog post [http://www.seekavideo.com/playlist/2199/video/ psychic readings online]

	The ~~shortest common supersequence (scs) is a common supersequence of minimal length. In the shortest common supersequence problem, the two sequences '''X''' and '''Y''' are given~~ and ~~the task~~ is to ~~find a shortest possible common supersequence of these sequences~~. ~~In general, the scs~~ is ~~not unique.~~

	~~For two input sequences, an scs can be formed from a longest common subsequence (lcs) easily. For example, if '''X'''<math>[1..m] = abcbdab</math> and '''Y'''<math>[1.~~.~~n] = bdcaba~~<~~/math~~>~~, the lcs is '''Z'''~~<~~math~~>[~~1..r] = bcba</math>. By inserting the non-lcs symbols while preserving the symbol order, we get the scs~~: ~~'''U'''<math>[1..t] = abdcabdab<~~/~~math>.~~

	~~It is quite clear that <math> r + t = m + n <~~/~~math> for two input sequences. However, for three or more input sequences this does not hold. Note also, that the lcs and the scs problems are not [[dual problem]]s.~~

	~~== References ==~~

	* {{cite book \| first1=Michael R. \| last1=Garey \| author1-link=Michael R. Garey \| first2=David S. \| last2=Johnson \| author2-link=David S. Johnson \| year = 1979 \| title = [[Computers and Intractability: A Guide to the Theory of NP-Completeness]] \| publisher = W.H. Freeman \| isbn = 0-7167-1045-5 \| zbl=0411.68039 \| at=p. 228 A4.~~2: SR8 }}~~
	* {{cite book \| last=Szpankowski \| first=Wojciech \| title=Average case analysis of algorithms on sequences \| others=With a foreword by Philippe Flajolet \| series=Wiley-Interscience Series in Discrete Mathematics and Optimization \| location=Chichester \| publisher=Wiley \| year=2001 \| isbn=0-471-24063-X \| zbl=0968.~~68205 }}~~

	~~==External links==~~
	* [http://~~nist.gov~~/~~dads~~/~~HTML~~/~~shortestCommonSuperseq.html Dictionary of Algorithms and Data Structures: shortest common supersequence]~~

	~~[[Category:Problems on strings]]~~
	~~[[Category:Combinatorics]]~~
	~~[[Category:Formal languages]]~~
	~~[[Category:Dynamic programming]~~]

en>OsmanRF34: spam rm

2014-01-31T13:03:46Z

spam rm

← Older revision		Revision as of 15:03, 31 January 2014
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	~~Nice~~ to ~~satisfy you~~, ~~I am Marvella Shryock~~. ~~One~~ of the ~~things she enjoys most~~ is to ~~study comics~~ and ~~she~~'~~ll be beginning some thing else alongside with it~~. ~~Puerto Rico~~ is ~~where he~~'~~s been residing for years and he will never move~~. ~~Managing individuals has been his working day job for a whilst~~.<br><br>~~Review my webpage~~ :: [http://~~drupal~~.~~12thirty4.com~~/~~gmaps~~/~~node~~/~~4991 home std test kit~~]		In [[computer science]], the '''shortest common supersequence problem''' is a problem closely related to the [[longest common subsequence problem]]. Given two sequences '''X''' = < x<sub>1</sub>,...,x<sub>m</sub> > and '''Y''' = < y<sub>1</sub>,...,y<sub>n</sub> >, a sequence '''U''' = < u<sub>1</sub>,...,u<sub>k</sub> > is a common supersequence of '''X''' and '''Y''' if '''U''' is a supersequence of both '''X''' and '''Y'''. In other words, the shortest common supersequence between strings x and y is the shortest string z such that both x and y are [[subsequence]]s of z.

			The shortest common supersequence (scs) is a common supersequence of minimal length. In the shortest common supersequence problem, the two sequences '''X''' and '''Y''' are given and the task is to find a shortest possible common supersequence of these sequences. In general, the scs is not unique.

			For two input sequences, an scs can be formed from a longest common subsequence (lcs) easily. For example, if '''X'''<math>[1..m] = abcbdab</math> and '''Y'''<math>[1..n] = bdcaba</math>, the lcs is '''Z'''<math>[1..r] = bcba</math>. By inserting the non-lcs symbols while preserving the symbol order, we get the scs: '''U'''<math>[1..t] = abdcabdab</math>.

			It is quite clear that <math> r + t = m + n </math> for two input sequences. However, for three or more input sequences this does not hold. Note also, that the lcs and the scs problems are not [[dual problem]]s.

			== References ==

			* {{cite book \| first1=Michael R. \| last1=Garey \| author1-link=Michael R. Garey \| first2=David S. \| last2=Johnson \| author2-link=David S. Johnson \| year = 1979 \| title = [[Computers and Intractability: A Guide to the Theory of NP-Completeness]] \| publisher = W.H. Freeman \| isbn = 0-7167-1045-5 \| zbl=0411.68039 \| at=p. 228 A4.2: SR8 }}
			* {{cite book \| last=Szpankowski \| first=Wojciech \| title=Average case analysis of algorithms on sequences \| others=With a foreword by Philippe Flajolet \| series=Wiley-Interscience Series in Discrete Mathematics and Optimization \| location=Chichester \| publisher=Wiley \| year=2001 \| isbn=0-471-24063-X \| zbl=0968.68205 }}

			==External links==
			* [http://nist.gov/dads/HTML/shortestCommonSuperseq.html Dictionary of Algorithms and Data Structures: shortest common supersequence]

			[[Category:Problems on strings]]
			[[Category:Combinatorics]]
			[[Category:Formal languages]]
			[[Category:Dynamic programming]]

en>Nfr-Maat at 22:45, 21 August 2012

2012-08-21T22:45:19Z

New page

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