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Topic: Look and Say sequence

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	Look-and-say sequence - Wikipedia, the free encyclopedia
		In mathematics, the look-and-say sequence is the sequence of integers beginning as follows:
		To generate a member of the sequence from the previous member, read off the digits of the previous member, counting the number of digits in groups of the same digit.
		be the length of the sequence on the ith iteration.
	en.wikipedia.org /wiki/Look_and_Say_sequence (305 words)

	[No title]
		This sequence is self-similar in the sense that selecting every other term of the sequence, starting with the first term, reproduces the original sequence.
		For the “Look and Say” sequence (called “audioactive decay” by John Conway), start with 1; in general, obtain the next term by describing the current term in terms of cardinality.
		The “Look and Say” sequence presents more of a challenge since it is not generated by simple replacements as in the Ana and Morse-Thue sequences.
	jlpe.tripod.com /ana/anagoldenfractal.htm (2262 words)

	SEQUENCES FOR STUDENT INVESTIGATION Primus: Problems, Resources, and Issues in Mathematics Undergraduate Studies - Find ...
		The first sequence is a variation of one introduced by Stephen Wolfram in connection with his study of cellular automata.
		The second is an exploration of a modified "look and say" sequence that was introduced by Richard Guy and John Conway.
		In the case of the first sequence, a student independently programmed a Microsoft Excel spreadsheet to carry out computations, and in the case of the second sequence, students designed and wrote their own computer program in C. Of course, the real goal is for students to do more than just produce a list of examples.
	www.findarticles.com /p/articles/mi_qa3997/is_200412/ai_n9467977 (472 words)

	Where Did the Timewave Come From?
		It was this sequence that I chose to study as a possible basis for a new model of the relationship of time to the ingression and conservation of novelty.
		The ratio of 3/1 is not a formal property of the complete sequence but was a carefully constructed artifact achieved by arranging hexagram transitions between pairs to generate fourteen instances of three and two instances of one.
		Over 27,000 hexagram sequences were randomly generated by computer (all sequences having the property possessed by the King Wen sequence that every second hexagram is either the inverse or the complement of its predecessor).
	www.levity.com /eschaton/waveexplain.html (2315 words)

	Puzzle 207. The inventory sequences and the self-inventoried numbers (Site not responding. Last check: 2007-10-24)
		For example from 1211 you look the first group of 1's and say '11'; then you see the next group of 2's and say "12"; finally you see the last group of 1's and say "'21', giving the whole next member of the sequence 111221.
		Following this idea I will call these sequences as "inventory sequences" and "self-inventoried numbers" to such starting numbers that immediately end in a cycle of period 1, as the number 22 does.
		The digits of n can be partitioned into two finite sequences: S, consisting of the first occurrences of digits of n, and S', consisting of the other occurrences of the digits.
	www.primepuzzles.net /puzzles/puzz_207.htm (2082 words)

	Evolution of Conway's 92 Look and Say audioactive elements
		The Look and Say sequence generates a increasingly long string of digits.
		Conway has shown that the sequence soon breaks down into elements whose evolution do not affect the evolution of other elements in the string.
		The first step is Cu (which as "131112" looks like Pa K), then Ni (which as "11122112" looks like Th Ar), but at the third step it becomes Zn Co (the string "31232112") rather than Ac Cl (the string "3113132112").
	www.btinternet.com /~se16/js/lands2.htm (518 words)

	BBC NEWS \| Have Your Say \| What do you think of the new look weather? (Site not responding. Last check: 2007-10-24)
		It looks dated and the forecast is just as vague and general as before, but the perspective is probably a good reflection of the the awareness and interest of most of Southern England of the rest of the British Isles.
		The map distorts the proportions of the British Isles making the south of England look vastly larger than it actually is. Modern weather forecasts should use isobar lines, fronts and a proportional map to allow the viewer to make their own predictions about the weather.
		Er what should I be looking at during the weather sequence, where I think I am on the map (difficult to tell with the stupid viewing angle of the country and lack of place names) to see the weather or the clock in the corner that indicates the time the weather will be like that?
	news.bbc.co.uk /1/hi/talking_point/4551051.stm (8172 words)

	Ugh
		Look and Say sequence of integers and wrote a
		The chaotic nature of the Look and Say sequence reminded him of the
		If some starting value never arrives at one, then that would mean that either there is a sequence that increases indefinitely or there is a cycle other than the one just mentioned.
	www.upl.cs.wisc.edu /~bethenco/lookandsay.html (185 words)

	Look and Say (audioactive evolution)
		Look and say is a simple sequence generator: for example start with 1 and describe it as one one, which might be written 11 which in turn could be described as two ones, which might be written 21 which in turn could be described as one two, one one, which might be written 1211...
		John Conway (formerly a professor at Cambridge and now at Princeton) has shown that the asymptotic rate of growth of the length of the string is just over 1.3.
		"Audioactive" is a pun based on the Look and Say method and radioactive elements.
	www.btinternet.com /~se16/js/looknsay.htm (210 words)

	Puzzle 112. Automorphic primes (Site not responding. Last check: 2007-10-24)
		and had the idea of create sequences of primes by the simple procedure of replacing digits using certain specific transformations.
		He also found the least prime that provides a sequence of 3 primes, applying twice the procedure:
		sequence, or to get the least if this is not the case?
	www.primepuzzles.net /puzzles/puzz_112.htm (211 words)

	[No title] (Site not responding. Last check: 2007-10-24)
		John Conway wrote on the progression of the so-called Look-And-Say sequence: 1, 11, 21, 1211, 111221, 312211,...
		Categorizing these 92 strings and labeling them by the atoms of the periodic table (from Hydrogen to Uranium), Conway was able to prove that the asymptotic length of the sequence grows exponentially, where the growth factor (now known as Conway's Constant) is found by computing the largest eigenvalue of a 92x92 transition matrix.
		Even more remarkable is the Cosmological Theorem, which states that regardless of the starting string, every Look-And-Say sequence will eventually decay into a compound of these 92 atoms, in a bounded number of steps.
	www.math.columbia.edu /~ums/abstracts/Sp04Kontorovich.html (188 words)

	Robert Morris (cryptographer) - Wikipedia, the free encyclopedia
		There is a description of Morris in Clifford Stoll's book The Cuckoo's Egg.
		Many readers of Stoll's book remember Morris for giving Stoll a challenging mathematical puzzle (originally due to John H. Conway) in the course of their discussions on computer security: What is the next number in the sequence 1 11 21 1211 111221 312211?
		Stoll chose not to include the answer to this puzzle in The Cuckoo's Egg, to the frustration of many readers.
	en.wikipedia.org /wiki/Robert_Tappan_Morris,_Sr. (285 words)

	towboat (Site not responding. Last check: 2007-10-24)
		Look close at the bottom righthand side of the picture and you will see that the bridge guardrail is underwater.
		Look at the water pouring out of the second deck doorway.
		Look at the smoke coming from the exhausts.
	koti.mbnet.fi /~soldier/towboat.htm (190 words)

	Google Placement Papers , Sample Papers , Placement Paper , Sample Paper - Yuva Jobs
		This is the "look and say" sequence in which each term after the first describes the previous term: one 1 (11); two 1s (21); one 2 and one 1 (1211); one 1, one 2, and two 1's (111221); and so on.
		See the look and say sequence entry on MathWorld for a complete write-up and the algebraic form of a fascinating related quantity known as Conway's constant.
		This can be looked up and found to be sequence A052196 in the On-Line Encyclopedia of Integer Sequences, which gives the largest positive integer whose English name has n letters.
	www.yuvajobs.com /google-placement-paper.asp (1359 words)

	Truth about Bowling for Columbine
		Heston's memory of the Flint event is foggy (he says it was an early morning event, and that they then went on to the next rally; in fact the rally was at 6 - 7:30 PM.
		This sequence is intended to create the impression either that NRA and the Klan were parallel groups or that when the Klan was outlawed its members formed the NRA.
		The viewer is left with Moore the criminologist looking at a TV screen and proclaiming TV news just has to be the answer -- and not stopping long enough to reflect that if homicide rates fell when news coverage of them went up 600%, this is a most peculiar answer.
	www.hardylaw.net /Truth_About_Bowling.html (6481 words)

	Fibonacci Numbers, the Golden section and the Golden String
		a sequence of 0s and 1s that is closely related to the Fibonacci numbers and the golden section.
		looks at the patterns in the Fibonacci numbers themselves: the Fibonacci numbers in Pascal's Triangle; using the Fibonacci series to generate all right-angled triangles with integers sides based on Pythagoras Theorem.
		Two more pages look at its applications in Geometry: first in flat (or two dimensional) geometry and then in the solid geometry of three dimensions.
	www.mcs.surrey.ac.uk /Personal/R.Knott/Fibonacci/fib.html (1938 words)

	Phuket Tsunami Photo Gallery by hellmut issels at pbase.com
		A "true" christian heart would never say such foolish things and it is these people that are not really followers of the word of God that cause so much anguish for the true believers.
		These folks should look at the mote in their own eyes before they speak of the beam in the eyes of others.
		As much as I grieve, I look at the situation here and realize that there are people who have lost more than I. I am humbled, and my heart truly goes out to those who have lost and continue to suffer.
	www.pbase.com /issels/phuket_tsunami&page=all (8786 words)

	Google Lab Aptitude Test - Look and Say Sequence (Site not responding. Last check: 2007-10-24)
		I was on the Google homepage and they have a link to their 8 billion page index.
		The answer is it's a "look and say sequence." So for d=2 we have 2 1 2 1 1 1 2 3 1 1 2 1 3 2 1 1 2 I was way off.
		Then I thought maybe it had something to do with the Fibonacci sequence, where the value of each row is base on the previous two rows.
	www.tinou.com /glat.jsp (173 words)

	Ramblings' Journal: "Let Freedom Reign!"
		Mr Kanum denies the charges, saying it was a case of mistaken identity.
		I'll be the first one to say that there are some miscues here; everyone involved is human, and certainly there are a share of mistakes that can be pointed to after the fact all the way around.
		Though many people would like to say that we have "gone it alone," there is a concerted coalition of many nations who feel that we are on the right path.
	mhking.mu.nu /archives/033725.php (6665 words)

	Math Forum - Ask Dr. Math
		121, 111211, 311221 Puzzle (Look and Say Sequence)
		If you were to describe this number to someone who was writing it down digit by digit, you would say: Write down a single one - that is, one one.
		Then write down a single two - that is, one two.
	mathforum.org /library/drmath/view/56837.html (103 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-24)
		Date: 02/14/2002 at 17:57:44 From: Vanessa Subject: Find the 6 missing numbers in number sequences I can't figure the answer out.
		Date: 02/15/2002 at 12:21:02 From: Doctor Douglas Subject: Re: Find the 6 missing numbers in number sequences Hi, Vanessa, and thanks for writing.
		This is a famous sequence known as the "look-and-say" sequence.
	mathforum.org /library/drmath/view/56731.html (139 words)

	Arguments we think creationists should NOT use
		This law says that the entropy (“disorder”) of the universe increases over time, and some have thought that this was the result of the Curse.
		In fact, seven centuries before His Incarnation, the prophet Isaiah spoke of Him as literally the “Kinsman-Redeemer,” i.e., one who is related by blood to those he redeems (Isaiah 59:20 uses the same Hebrew word goel as used to describe Boaz in relation to Ruth).
		We are sorry to say that, while AiG thinks he’s well meaning, Baugh unfortunately uses a lot of material that is not sound scientifically.
	www.answersingenesis.org /home/area/faq/dont_use.asp (4201 words)

	Phylogeny Programs
		Galaxie examines sequencies in related members of a gene family to use phylogenetic considerations to identify a given sequence.
		Geneious sequence analysis platform that does phylogenies, alignment, and maintains local databases of sequences.
		Mac5 estimates a phylogeny from DNA sequences, by MCMC sampling using a model representing gaps as a fifth nucleotide state.
	evolution.genetics.washington.edu /phylip/software.html (2040 words)

	UAM: páginas de Óscar Martín
		He also showed some formal similarities between the behavior of the sequence and that of chemical elements.
		Thus, for greater enjoyment and better understanding, we recommend a parallel reading of the two columns, passing fearlessly through the looking glass in the gap between the columns.
		Our aim is to provide the reader with an understanding of the game, efficient algorithms to know when the game can be solved, and also how to find the solution.
	www.uam.es /personal_pdi/ciencias/omartin (485 words)

	AMNews: Sept. 19, 2005. Studies look at ways to sequence, cycle osteoporosis drugs ... American Medical News
		Studies look at ways to sequence, cycle osteoporosis drugs...
		But two papers published last month in the New England Journal of Medicine say this circumstance could be just a matter of timing.
		But while these studies do take steps toward addressing some open questions, doctors who treat osteoporosis patients say the conclusions would have been stronger if the endpoint used was fracture incidence rather than biomarkers of bone formation.
	www.ama-assn.org /amednews/site/free/hlsb0919.htm (664 words)

	Error 404 (Site not responding. Last check: 2007-10-24)
		We've redesigned the BTinternet site and the page you are looking for may have been moved.
		It may also be that you have mistyped a URL or followed an old bookmark.
		If you still can't find what you are looking for, send an email to editor@btinternet.comand we'll point you in the right direction.
	www.se16.btinternet.co.uk /hgb (89 words)

	Well, Shut My Mouth by Linda Schrock Taylor
		Once in the classroom, I went over to a group of students and began asking questions, beginning with a request to see their book.
		The book was one that I have had to work with at my clinicmeaning that I have used my Saxon books to explain and re-teach concepts that had been poorly presented, or introduced out of any logical sequence for learning, and thus missed or misunderstood by my clients.
		After math scores fall into the basement, and publisher contracts run out, districts begin looking for yet another brass ring, hoping to pull themselves up and away from the bad press of low math proficiency among American school children; one with which to draw the curtain across the eyes of parents and other taxpayers.
	www.lewrockwell.com /taylor/taylor46.html (1548 words)

	Amazon.com: The Dark Is Rising Sequence: Silver on the Tree; The Grey King; Greenwitch; The Dark Is Rising; and Over ... (Site not responding. Last check: 2007-10-24)
		In the five-title series of novels known as The Dark Is Rising Sequence, these children pit the power of good against the evil forces of Dark in a timeless and dangerous battle that includes crystal swords, golden grails, and a silver-eyed dog that can see the wind.
		...but I spent many times looking for the next book in the series at the library until it was there....I checked them out one by one and was never disappointed in the outcome......a great read.
		In the Sequence, Cooper weaves a mysterious world that she manages to never fully explain.
	www.amazon.com /exec/obidos/tg/detail/-/0020425651?v=glance (2281 words)

	Mindless Crap September 2002 Stump Me Questions (and Answers)
		Zach A. : Hate to say this, but they just do.
		There doesn't always have to be an answer for why things are the way they are.
		Taneal B. : This is known as the 'look-say' sequence.
	www.mindlesscrap.com /stumpme/09-02.htm (579 words)

	Scarface (1983) (Site not responding. Last check: 2007-10-24)
		Plot Outline: In 1980 Miami, a determined Cuban immigrant takes over a drug empire while succumbing to greed.
		Trivia: In the final shootout sequence, Al Pacino grabs the gun by the barrel.
		Although only blanks were used, his hand was badly burned, and production had to be shut down for a few weeks.
	www.imdb.com /title/tt0086250 (366 words)

	Final Fantasy VII Tech Demo for PlayStation 3 Movies - Final Fantasy VII Tech Demo Movies - Final Fantasy VII Tech Demo ...
		What Final Fantasy VII would have looked like if it was made on the PS3
		Unsure wat this is, some say it was part of a sequel to FF8 while others say it's a mod.
		Part 2 of the hilarious parody, now with added sound effects ^_^ Thanks to planet harold for this video.
	www.gamespot.com /ps3/rpg/finalfantasyvii/media.html (937 words)

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