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Topic: Star height problem

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	Math Forum: Rubric - Coding PoW Problem Difficulty
		Problem difficulty is coded similarly for problems included in each of The Math Forum's Problem of the Week services, although adjustments have been made with respect to the grade band of the problem.
		Finally, problems at the high school level (algebra, geometry, discrete mathematics, trigonometry/calculus) are understood to include work undertaken by students in grades 9-12, and the challenge here is in the level of abstraction and the required synthesis of prior knowledge.
		Coding of problem difficulty focuses on the mathematical challenges represented by the problem, the difficulty of the mathematical concept, and the difficulty of mathematical calculations for students at a given level of problem solving.
	mathforum.org /library/problems/difficulty.html (2421 words)

	Generalized star height problem - Wikipedia, the free encyclopedia
		The generalized star-height problem in formal language theory is the open question whether all regular languages defined by regular expressions that include the complement operator can be expressed using regular expressions (possibly including the complement operator) with a limited nesting depth of Kleene stars.
		Specifically, it is an open question whether a nesting depth of more than 2 is required, and if so, whether it is possible to determine how many are required.
		Jean-Eric Pin, Howard Straubing and Denis Thérien, Some results on the generalized star-height problem, Information and Computation, 101(2):219-250, December 1992.
	en.wikipedia.org /wiki/Generalized_star_height_problem (128 words)

	Unsolved problems in mathematics - Encyclopedia, History, Geography and Biography
		Unsolved problems in : Note: Use the unsolved tag: {{unsolvedFX}}, where "F" is any field in the sciences: and "X" is a concise "explanation" with or without links.
		The seven Millennium Prize Problems set by the Clay Mathematics Institute are:
		See also those problems listed as conjectures (list of conjectures).
	www.arikah.net /encyclopedia/Unsolved_problems_in_mathematics (147 words)

	The Xerox "Star": A Retrospective
		Star's introduction was an important event in the history of personal computing because it changed notions of how interactive systems should be designed.
		Star's designers assumed that the target users are interested in getting their work done and not at all interested in computers.
		Star and ViewPoint's use of a 16-bit character set and of special typing and rendering algorithms for foreign languages is the correct approach.
	www.digibarn.com /friends/curbow/star/retrospect (11840 words)

	Problem Set 6
		The x-ray star Cygnus X-1 is the only serious candidate we have for a fl hole.
		In the visible one observes the primary star to be an O9 supergiant (M=24M
		By observing the absorption lines in the atmosphere of the primary we know that the binary period is 5.6 days and that the orbital velocity of the primary is about 85km/sec.
	casa.colorado.edu /~wcash/APS3730/ps6.htm (551 words)

	[No title] (Site not responding. Last check: 2007-10-07)
		The second error occasionally caused the stability class to be calculated as one class too unstable when (1) the sky is overcast and (2) the ceiling height is at least 7000 feet and less then 16000 feet.
		The most likely case where the correction will cause changes is where STAR is reading the cloud cover from one column when the data were actually placed in another column.
		With respect to the second change, a comparison was made between the corrected and uncorrected versions of STAR on the Pittsburgh data for the last three months of 1964.
	www.epa.gov /ttn/scram/mcbs/starz2.txt (674 words)

	Star height problem: Definition and Links by Encyclopedian.com - All about Star height problem
		Star height problem: Definition and Links by Encyclopedian.com - All about Star height problem
		This theoretical problem remained open for 30 years, to be solved by Kosaburo Hashiguchi[?] in 1983.
		The generalized star height problem is the same problem for regular expressions that include the complement operator.
	www.encyclopedian.com /st/Star-height-problem.html (132 words)

	SWERC\'96 Problem Set
		You will be given a star map; for simplicity this will be a collection of points in the plane, each having a certain brightness associated with it.
		An occurrence is a subset of stars from the map that forms a (possibly) arbitrarily rotated and/or scaled copy of the stars in the constellation.
		The brightness of an occurrence is the average brightness of the stars it consists of, i.e.
	www.acm.inf.ethz.ch /ProblemSetArchive/B_EU_SWERC/1996/problems96.html (3686 words)

	kleene star
		The Kleene star (or Kleene closure) is an operation used in regular expressions and operates either on sets of strings or on sets of symbols or characters.
		The Kleene star is often generalized for any monoid (M,.), that is, a set M and binary operation '.' on M such that
		The Kleene star is named after Stephen Kleene (1909-1994) who introduced it when describing certain automata (see regular expression).
	www.fact-library.com /kleene_star.html (338 words)

	Problem Set 2
		In this fairy tale, stars begin to drop from the skies and the main character, a poor girl, collects the falling stars ("thalers", "talers", "dollars") in her skirt.
		Formulate a formula for the height of the star thaler, depending on the time.
		The star is always 20 pixels from the left.
	www.ccs.neu.edu /home/jpalm/211-s05/Assignments/2.html (574 words)

	Star height problem -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-07)
		Star height problem -- Facts, Info, and Encyclopedia article
		The answer to all questions is yes: Hashiguchi published an algorithm to determine an expression's (Click link for more info and facts about star height) star height in 1988.
		Also see (Click link for more info and facts about generalized star height problem) generalized star height problem.
	www.absoluteastronomy.com /encyclopedia/s/st/star_height_problem.htm (116 words)

	Some results on the generalized star-height problem (Site not responding. Last check: 2007-10-07)
		In this problem, as opposed to the restricted star-height problem, complementation is considered as a basic operator.
		In the same direction, we show that one of the languages that was conjectured to be of star height 2 during the past ten years, is in fact of star height 1.
		Next we show that if a rational language L is recognized by a monoid of the variety generated by wreath products of the form M o (G o N), where M and N are aperiodic monoids, and G is a commutative group, then L is of star-height ≤ 1.
	www.liafa.jussieu.fr /%7Ejep/Resumes/StarHeight.html (415 words)

	Approaches to Problem Solving
		Which is bigger, the height of the can or the circumference?
		Two common ways to describe the motion of an object along the circumference of a circle are linear speed and angular speed.
		These concepts can then be used to determine the speed of a satellite in a circular orbit around Earth or to determine the angular and linear speed of a planet (such as Earth) in a circular (or near circular) orbit about a star (such as our Sun).
	www.austin.cc.tx.us /pmwright/13322c.htm (243 words)

	The star-height problem
		The restricted star-height problem has been solved by Hashiguchi (1983), but here we are interested in that aspect of the problem concerning generalized star-height, in which complementation is considered as a basic operator.
		Thus, the problem of finding the star-height of languages recognized by nilpotent groups reduces to finding the star-height of the languages L(u,k,n).
		Brzozowski, Open problems about regular languages, Formal language theory, perspectives and open problems (R.V. Book editor), Academic Press, New York, 1980, 23-47.
	www.liafa.jussieu.fr /~jep/Problemes/starheight.html (1172 words)

	Desert automata iii. towards a comprehension of the star height problem
		towards a comprehension of the star height problem
		We show that the limitedness problem for $n$-state $h$-nested distance desert automata is decidable in time complexity $(h+1)^{O(n^2)}$.
		As an application, we show that it is decidable in time complexity $2^{2^{2^{O(n)}}}$ whether the language accepted by an $n$-state non-deterministic automaton is of a star height less than $h$ (concerning rational expressions with union, concatenation and iteration), which is the first ever complexity bound for the star height problem.
	www.liafa.jussieu.fr /web9/rapportrech/description_fr.php?idrapportrech=662 (136 words)

	The Corrs Online
		When the Corrs were in the States towards the end of 1998, someone pulled John Hughes aside and suggested that Andrea should get some therapy to try to get her out of the habit.
		She also has the habit of losing things, which is why she sees the tin whistle as the perfect instrument - they are cheap to replace.
		It's her acting roles that have caused the other members of the band to give Andrea the title "family drama queen".
	www.corrsonline.com /home/profiles/andrea.shtml (963 words)

	ipedia.com: Unsolved problems in mathematics Article (Site not responding. Last check: 2007-10-07)
		This article describes currently unsolved problems in mathematics.
		The seven Millennium Prize Problems set by the Clay Mathematics Institute are: P versus NP The Hodge Conjecture The Poincaré Conjectu...
		"Problems worthy of attack prove their worth by fighting back." - Paul Erdos (1913-1996)
	www.ipedia.com /unsolved_problems_in_mathematics.html (115 words)

	PmWiki \| EricaPerales / Draft3
		In the United States alone 18.2 million people have diabetes and 8.7 percent are women, while an estimated 13 million have been diagnosed with diabetes, and an unfortunate 5.2 are unaware that they have diabetes.
		Nutrionist are blaming the star that is staying and never leaving: fast food.
		This epidemic will never fade unless the star that is so famous in the Unites States does, fast food.
	falcon.tamucc.edu /~wiki/student/student.php/EricaPerales/Draft3 (1214 words)

	Theoretical Computer Science (Site not responding. Last check: 2007-10-07)
		317--336 W. Bucher A note on a problem in the theory of grammatical complexity.
		I 193--212 R. Dutton and R. Brigham The complexity of a multiprocessor task assignment problem without deadlines.
		H. Yamasaki and M. Takahashi Generalized parenthesis languages and minimization of their parenthesis parts 1--11 N. Soundararajan A proof technique for parallel programs 13--29 K. Bruce and G. Longo On combinatory algebras and their expansions.
	www.math.utah.edu:8080 /pub/tex/bib/toc/tcs1980.html (5359 words)

	Read about Star height problem at WorldVillage Encyclopedia. Research Star height problem and learn about Star height ... (Site not responding. Last check: 2007-10-07)
		Read about Star height problem at WorldVillage Encyclopedia.
		Research Star height problem and learn about Star height problem here!
		This theoretical problem remained open for 25 years until it was solved by
	encyclopedia.worldvillage.com /s/b/Star_height_problem (154 words)

	04/27/02: I have resolved the Klingon continuity problem on Enterprise.... (Site not responding. Last check: 2007-10-07)
		After a great deak if thought and research I have resolved the problem.
		On the original Star Trek Klingons were almost human in appearance and height.
		I hope this resolve the problem for all of you.
	www.mrcranky.com /movies/jasonx/40.html (194 words)

	Daniel Kirsten's Publications (Site not responding. Last check: 2007-10-07)
		The Star Problem and the Finite Power Property in Trace Monoids: Reductions Beyond C4.
		A Connection between the Star Problem and the Finite Power Property in Trace Monoids.
		The Star Problem in Trace Monoids: Reductions Beyond C4.
	www.math.tu-dresden.de /~kirsten/publications/index.html (456 words)

	Ssi-Ruu - Star Wars
		This race relied on a technology called entechment that involved capturing the life-energy of beings and using them as power sources.
		They had a sizable war fleet and ruled an empire called the Ssi-Ruuvi Imperium in the Ssi-ruuk Star Cluster near the galaxy's rim.
		The Ssi-Ruuk resembled dinosaurs and were covered with a thick scaly hide.
	starwars.wikicities.com /wiki/Ssi-Ruu (1340 words)

	Chiss - Star Wars
		Under the influence of the Dark Nest, the Killiks had attempted to absorb all species into a single hive mind.
		In 36 ABY, the Killiks hijacked the Victory-class Star Destroyer Admiral Ackbar and used it to launch an invasion of Chiss space thus starting the Swarm War.
		The Chiss are governed by an oligarchy of four extended ruling families from House Palace, located in the capital city of Csaplar on Csilla.
	starwars.wikicities.com /wiki/Chiss (1359 words)

	Love Talk Forums - Height problem
		My boyfriend is 6' and I'm 4'9" and yes, he's the guy, and is taller, but that's quite a height difference and we've never had any problems with it.
		That they rejected other men solely for their height and chose their current husbands because they met the height criteria.
		Due to the fact that we all have to have a certain level of attraction for our partner it is bound to happen that we have height requirements, just like eye color, or hair color preference.
	members.lovingyou.com /showthread.php?s=810f0f73ffc3b0903fe8431a6988bc42&threadid=113917&pagenumber=3 (1478 words)

	STAR Touring Member Bike Show (Site not responding. Last check: 2007-10-07)
		He was looking to move up from his trusty Virago 1100 and saw one of the first Road Stars at his dealer.
		After giving a lot of thought to the possibilities for customizing, he decided that he wanted it.
		His wife had bought the Road Star for his Christmas present and was it delivered to his door Christmas morning.
	www.startouring.org /show-member-bike.cfm?MemberIndex=358 (399 words)

	Encyclopedia: Star height problem (Site not responding. Last check: 2007-10-07)
		People who viewed "Star height problem" also viewed:
		Updated 256 days 6 hours 50 minutes ago.
		Click for other authoritative sources for this topic (summarised at Factbites.com).
	www.nationmaster.com /encyclopedia/Star-height-problem (169 words)

	Information and Computation -- 1994 (Site not responding. Last check: 2007-10-07)
		On the existence of minimum asynchronous automata and on the equivalence problem for unambiguous regular trace languages.
		On the decidability of certain integer subgraph problems on context-free graph languages.
		The infinite 2-star height hierarchy of extended regular languages of star degree at most two.
	theory.lcs.mit.edu /~iandc/ic94.html (433 words)

	Regular_expression
		(Kleene star) R* denoting the smallest superset of R that contains ε and is closed under string concatenation.
		This turns out to be a surprisingly difficult problem.
		As simple as the regular expressions are, it turns out there is no method to systematically rewrite them to some normal form.
	www.tuxedo-shop.com /search.php?title=Regular_expression (2524 words)

	A TALL TALE: Grandville star counts her height as blessing
		The Grand Rapids West Catholic junior would make a good move to get open and take what she thought was a good shot, but Grandville's Allyssa DeHaan would reject it.
		But DeHaan's height has not made her obsessed with basketball.
		Then DeHaan faces a continuing problem of bumping her head on doorways.
	www.freep.com /sports/preps/pextra17e_20040917.htm (1236 words)

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