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Topic: Absorbing set

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	Absorbing set - Wikipedia, the free encyclopedia
		In functional analysis and related areas of mathematics an absorbing set in a vector space is a set S which can be inflated to include any element of the vector space.
		In a semi normed vector space the unit ball is absorbing.
		the finite intersection of absorbing sets is absorbing
	en.wikipedia.org /wiki/Absorbing_set (108 words)

	PlanetMath: absorbing set
		This implies that an absorbing set does not have to be connected, convex.
		For an example of an absorbing set that is not circled, take the union of a unit disk and an annulus centered at 0 that is large enough so it is disjoint from the disk.
		This is version 6 of absorbing set, born on 2005-08-02, modified 2005-08-03.
	planetmath.org /encyclopedia/AbsorbingSet.html (187 words)

	Norm (mathematics) - Wikipedia, the free encyclopedia
		The set of vectors whose Euclidean norm is a given constant forms the surface of a sphere.
		The set of vectors whose 1-norm is a given constant forms the surface of a cross polytope.
		The set of vectors whose ∞-norm is a given constant forms the surface of a measure polytope.
	en.wikipedia.org /wiki/Norm_(mathematics) (1169 words)

	Set (o)
		Set can use all powers and magical spells at Shift Z rank, but he is trapped in his own pocket dimension and cannot come to Earth without assistance.
		Set was one of the very first living beings to arise on the planet Earth.
		Set was created when the very embodiment of all potential life forces on Earth, known as the Demiurge, seeded the virgin planet with ethereal energy.
	www.norse-man.net /marvel/Char-S/Set.htm (1365 words)

	DEFINE MENU
		Each face of the grid is truncated with a boundary condition that may be absorbing (simulating an infinite extension of the grid), an electric wall (zero tangential electric field) or magnetic wall (zero tangential magnetic field).
		Absorbing boundary condition to be used if any grid face boundary condition is set to absorbing.
		Frequency ranges can be set separately for each sweep, but grid face data is saved for each distinct frequency of interest, so a considerable amount of extra memory and CPU time is required as the total number of frequencies increases.
	lc.cray.com /ug/define.html (2594 words)

	Method for regenerating iron-EDTA solutions used for scrubbing plug gases - Patent 4091074
		The absorbing solution to be used in the circulation step of the absorbing solution is an aqueous solution containing iron EDTA chelate complex salt and ammonium sulfite, and also those in which ammonium sulfate, ammonium imidodisulfate, ammonium dithionate or the like or mixtures thereof formed during the treating process of industrial exhaust gases are dissolved.
		The amount of the absorbing solution to be sent from the step (a) to the step (b) is proportional to the amount of SO.sub.2 absorbed from industrial exhaust gases, but, from another viewpoint, a method wherein 1-10% of the total amount of the absorbing solution circulated is treated is easy to carry out.
		If sulfite still remains in the absorbing solution treated in the step (b) and withdrawn therefrom, it is preferable from the viewpoint of the improvement in separation efficiency, etc. to add acid to the solution and then subjecting it to such a treatment as air blowing, thereby to drive off free SO.sub.2 from the solution.
	www.freepatentsonline.com /4091074.html (4128 words)

	PlanetMath: balanced set
		A balanced set is also sometimes called circled [3].
		In [5], a balanced set is defined as above, but with the condition
		This is version 2 of balanced set, born on 2005-10-28, modified 2005-10-29.
	planetmath.org /encyclopedia/BalancedSet.html (152 words)

	The Hindu : Udomchoke wins maiden Challenger title
		For the Sunday crowd, it was a disappointing finale to the weeklong tennis extravaganza as the title contenders were tentative in their approach and made a lot of unforced errors.
		The tie, after an absorbing first set which saw fortunes fluctuate, became a lopsided affair as Wang, who had bouts of nausea, simply went through the motions in the second set.
		By the end of the first set, Wang looked a spent force as he complained of nausea and sought medical attention.
	www.hindu.com /2003/10/13/stories/2003101302892100.htm (579 words)

	Punch and Chisel Set, Shock-Absorbing Grip, 10 Piece (SK: model 61560)
		The hand fits snugly over the contoured handle, which is covered in a flexible material.
		Impact shocks are largely absorbed by the elasticity of the handle material and its free-floating design.
		Set Contents: 4mm, 5mm, 6mm Starter Punches; 4mm, 5mm, 6mm Drift Punches; 6mm Center Punch; 10mm Cape Chisel; 15mm, 20mm Flat Chisels.
	www.automotivetools.com /online-store/scstore/p-SK-61560.html (101 words)

	[No title] (Site not responding. Last check: 2007-10-13)
		Dissipative dynamical systems are characterised by having a bounded absorbing set $\cal B$ which all trajectories eventually enter and remain inside.
		The exponentially contractive problems studied have a unique, globally attracting equilibrium point and thus they are also dissipative since the absorbing set $\cal B$ may be chosen to be a ball of arbitrarily small radius around the equilibrium point.
		The gradient systems studied are those for which the set of equilibria comprises isolated points and all trajectories are bounded so that each trajectory converges to an equilibrium point as $t \rightarrow\ \infty$.
	www-db.stanford.edu /pub/cstr/reports/na/m/92/18/NA-M-92-18.bib (393 words)

	Kevin Bacon Game as Math Theory (Site not responding. Last check: 2007-10-13)
		What develops from these rules is akin to an absorbing set in stochastic theory which contains actors and actresses from the early days of film to movie releases far into the future.
		We examine topological properties of the Kevin Bacon Absorbing Set and its complement.
		We refer to this as the Kevin Bacon Absorbing Set, because of it being akin to an absorbing set in stochastic theory.
	www.eskimo.com /~bleach/docs/kb.html (1973 words)

	Steps and Barriers
		For many types of phenomena a variation in potential energy is shown to be equivalent to a variation in index of refraction.
		Set the initial wave to be a Gaussian with the following conditions:
		Set the potential and width of this new segment so that the following conditions are satisfied:
	webphysics.davidson.edu /Faculty/wc/waveHTML/node35.html (678 words)

	[No title]
		Since the set $ K $ is invariant, then according to Lemma \ref{l2.2} the set $I'$ is also invariant w.r.t.
		The set $I'$ is compact, because $K$ is compact and $ pr_{1} : X \mapsto W $ is continuous.
		the set $ I= \bigcup \{ I_{\tilde \omega }\ \vert \ \tilde \omega \in \tilde \Omega \}$ is compact.
	www.maths.tcd.ie /EMIS/journals/EJDE/Monographs/Monographs/Volumes/2002/42/cheban-tex (5227 words)

	CNNSI.com - Tennis - Hingis, Clijsters advance to adidas semis - Thursday January 10, 2002 07:04 AM
		Alexandra Stevenson, who produced the upset of the tournament Wednesday to beat top seed and Australian Open titlist Jennifer Capriati, couldn't reproduce the sparkle and had 37 unforced errors as she succumbed to fellow American Meghann Shaughnessy.
		The 21-year-old Swiss, who is the No. 3 seed and one of the favorites for the Australian Open after Davenport withdrew, made only 12 unforced errors as she extended her record to 16-0 against Testud.
		Clijsters, who is the No. 4 seed for the Australian Open, outlasted Henin in an absorbing first set, taking the tiebreaker with an unplayable first serve on her fourth set point.
	sportsillustrated.cnn.com /tennis/news/2002/01/09/adidas_thursday_ap (859 words)

	[No title]
		Radiofone's complaint as it relates to an alleged discriminatory application of per diem "set- up" charges has been previously resolved by settlement under aegis of a state agency, which then had jurisdiction.
		Radiofone argues that BMI engaged in "predatory" pricing by not passing on the $2.00 "set- up" fee to its subscribers or, in the alternative, by not assessing this fee at all times to affiliates.
		We therefore conclude that Radiofone's complaint does not set forth a basis, either in fact or in law, to support a conclusion that BMI has violated Section 314 of the Communications Act.
	www.fcc.gov /ftp/Bureaus/Wireless/Orders/1999/da990539.txt (4745 words)

	Open problems in topology, seventh status report
		Such an absorbing set was constructed by M. Zarichnyi [18,§4.2.D].
		Zarichnyi showed that some absorbing sets for classes of compacta of given cohomological dimension are not countable-dimensional [111].
		Specifically, for a compact smooth manifold F Oliver described necessary and sufficient conditions for F to occur as the fixed point set of a smooth action of G on a disk (or Euclidean space) [84].
	at.yorku.ca /i/a/a/i/26.htm (5775 words)

	AMCA: The Absorbing Sets Solution in Coalition Formation Systems by Norma Olaizola
		This motivates the definition of a coalition formation system as a pair (N,f), where N is a finite player set and f, is a function that assigns to each partition of N a (payoff) vector.
		Note that this process can adequately be described by means of an abstract game: the set of elements representing the set of all the coalition structures, and the binary relation defined on that set representing the plausible transitions between coalition structures.
		After discussing and comparing some of them we decided to adopt the absorbing sets solution, that is defined as the collection of all the absorbing sets.
	at.yorku.ca /c/a/f/l/26.htm (602 words)

	Davis Cup - Match Report
		For an hour there was a superb contest, a slightly nervous and impatient Juan Carlos Ferrero being matched by the consistent groundstrokes of Gaston Gaudio. But once Ferrero had taken the first set in 63 minutes, he didn’t lose another game, giving Spain the first point in their Davis Cup by BNP Paribas semifinal against Argentina.
		Ferrero’s 64 60 60 win was expected, but Gaudio’s capitulation after an absorbing first set was disappointing, though the majority of the 14,000 spectators in the almost full temporary stadium hardly minded.
		Ferrero was understandably pleased: “After I won the first set I played a fantastic match,” he said. “Gaston was playing very hard and without mistakes in the first set and I couldn’t play my game. I wanted to win easily and hit a lot of winners, but I played fantastic in the second and third sets.”
	www.daviscup.com /news/matchreport.asp?id=12500 (280 words)

	Abstract (Site not responding. Last check: 2007-10-13)
		The approach uses a recursion satisfied by the sampling probabilities to construct a Markov chain with a set of absorbing states in such a way that the required sampling distribution is the mean of a functional of the process up to the absorption time.
		This provides a conceptually simple framework for simulating the likelihood of the data for a set of parameter values.
		The method is particularly attractive in practice: it is simple to program, and can be extended to cover other features of interest such as the infinitely-many-sites process, recombination, selection, and variable population size.
	www-hto.usc.edu /papers/abstracts/paper-14.html (135 words)

	Colloquia, Spring 2000
		Among these problems are the question if a given ordered set has a fixed point free self-map, the question if a graph has a Hamiltonian Cycle, the n-queens problem, scheduling problems, etc. In particular, constraint satisfaction problems (we will give a general definition) are NP-complete and thus any known solution procedure potentially requires exponential effort.
		It is well known that wavelet filters satisfy a set of algebraic axioms, but there aren't so far systematic ways of constructing examples that are dictated by applications.
		Another important notion is the stable set polytope, the convex hull of incidence vectors of independent sets of nodes.
	www.math.vanderbilt.edu /~colloq/archive/00spring.html (2438 words)

	Monday's Reviews Today: A Beatles Biography, Russian Novel - 9/30/2005 - Publishers Weekly
		Spitz's unflinching biography reveals that not only did the Beatles pioneer a new era of rock but they also were on the cutting edge of rock star excess, from their 1961 amphetamine-fueled sets in the clubs of Hamburg to their eventual appetites for stronger drugs, including marijuana, LSD, cocaine and, eventually for John Lennon, heroin.
		Sex was also part of the equation; in 1962, when the band cut its first audition for Sir George Martin, all four members had a venereal disease, and both John's and Paul McCartney's girlfriends were pregnant.
		Set during the waning days of the Russian revolution, Meek's utterly absorbing novel (after The Museum of Doubt) captivates with its depiction of human nature in all its wartime extremes.
	www.publishersweekly.com /article/CA6261968.html?text=beatles (578 words)

	Les ames grises (Site not responding. Last check: 2007-10-13)
		PARIS -- "Les ames grises" (Gray Souls), Yves Angelo's adaptation of Philippe Claudel's award-winning novel, is an absorbing whodunit set in a small town close to the World War I front where thousands of soldiers are butchered every day.
		The movie showcases the talents of two of France's finest character actors, the veteran Jean-Pierre Marielle, who is shortly to appear in the screen version of "The Da Vinci Code," and Jacques Villeret, who died this year at age 53.
		The writers choose to set the action in the depths of winter, and the movie is bathed in nocturnal tones and chilly blues and grays.
	www.hollywoodreporter.com /thr/reviews/review_display.jsp?vnu_content_id=1001263716 (501 words)

	Luggage & Business (Page 6) - Overstock - ShopTony
		Its durable construction, ample storage space, top and side handles, and wheels make this the luggage set that you will use for years and years to come.
		Perfect for business or pleasure, this set features a 22-inch carry-on pullman, a tote, and a suiter.
		The best way to enjoy that fabulous trip is with luggage that will carry half your wardrobe and then packsinside each other and store easily away in your cabin.
	www.shoptony.com /luggage-business-2613-2-6.htm (674 words)

	PlanetMath:
		reducible locally analytic set (in irreducible component) owned by jirka
		regularly closed set (=regular open set) owned by CWoo
		examples of ring of sets owned by rspuzio
	planetmath.org /encyclopedia/R (2084 words)

	Emergence of Advertising in America - Tobacco Advertising (2-CD Set)
		Photographs of "actresses" - women placed in a variety of poses and often rather revealing costumes for the time - also were used on the insert cards and exceeded all expectations in their popularity among the public.
		This rare set of CDs contains hundreds of these insert cards, along with posters, trade cards and other tobacco advertising items, which are arranged by names of manufacturers, prominent among which are Dukes, Crosscut, Harp, Harlequin and Old Virginia.
		"This set of CDs is absolutely fabulous, both in terms of its contents and also the quality of the images it carries.
	www.a2zcds.com /Products/Emergence_Tobacco_Advertising_CD_368.htm (937 words)

	Product -- Clamps (Site not responding. Last check: 2007-10-13)
		The absorbing clamp method of measurement is accepted by CISPR as a standard method of measuring the interference power levels on cables connected to electronic devices.
		The absorbing clamp consists of a ferrite current transformer calibrated for the frequency range of 30 MHz to 1 GHz and two groups of ferrite rings.
		A typical calibration curve is shown in Figure 2.
	www.fischercc.com /instrumentation/product_absclamp.shtml (242 words)

	Aysmptotic Behavior of Absorbing Markov Chains Conditional on Nonabsorption for Applications in Conservation Biology, ... (Site not responding. Last check: 2007-10-13)
		We find a Lyapunov-type sufficient condition for discrete-time Markov chains on a countable state space including an absorbing set to almost surely reach this absorbing set and to asymptotically stabilize conditional on nonabsorption.
		This result is applied to Bienaymè-Galton-Watson-like branching processes in which the offspring distribution depends on the current population size.
		The techniques used mainly rely on the spectral theory of linear operators on Banach spaces and especially on the notion of quasi-compact linear operator.
	projecteuclid.org /Dienst/UI/1.0/Summarize/euclid.aoap/998926993 (493 words)

	[No title] (Site not responding. Last check: 2007-10-13)
		Chicago-based performer and jazz educator, Ted Hogarth, is adept at all the single reed instruments, specializing in the baritone sax and bass clarinet, al la one of his famous predecessors, Harry Carney, who pioneered the use of the bass clarinet in an orchestral setting.
		He also skillfully captures the haunting, lush timbre of the bass clarinet on several tunes, but none better than on “Ghost of a Chance” where he gets expert and sympathetic help from guitarist Neal Alger, who is active throughout the set.
		The lovely “Waltzing Through My Mind” stands out among a musically charming and absorbing set of originals.
	www.allaboutjazz.com /php/review_print.php?id=9084 (361 words)

	Classics Today.com - Your Online Guide to Classical Music
		But what we get of the Columbia set is absorbing nonetheless: Anny Helm, a soprano Brangaene, is remarkably intense; Rudolf Bockelmann's Kurwenal is rough-edged but valid; and Ivar Andresen's King Mark is the soul of understated sadness and disappointment.
		The voice is secure and her involvement and attention to the text are never in doubt--but her style is somewhat Italianate, with slides up to and around notes that we're unaccustomed to in Wagner.
		Karl Elmendorff's leadership can momentarily make us feel as if the opera is not a set of excerpts, and the orchestra/voice balance is amazingly good; the transfers are probably as fine as possible.
	www.classicstoday.com /review.asp?ReviewNum=6704 (365 words)

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