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Topic: Upper set

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	Supremum - Wikipedia, the free encyclopedia
		In analysis the supremum or least upper bound of a set S of real numbers is denoted by sup(S) and is defined to be the smallest real number that is greater than or equal to every number in S.
		The difference between the supremum of a set and the greatest element of a set may not be immediately obvious.
		There is a corresponding 'greatest-lower-bound property'; an ordered set possesses the greatest-lower-bound property if and only if it also possesses the least-upper-bound property; the least-upper-bound of the set of lower bounds of a set is the greatest-lower-bound, and the greatest-lower-bound of the set of upper bounds of a set is the least-upper-bound of the set.
	en.wikipedia.org /wiki/Least_upper_bound (1446 words)

	Upper bound - Wikipedia, the free encyclopedia
		In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set is an element which is greater than or equal to every element of S.
		On the other hand, a set may have many different upper and lower bounds, and hence one is usually interested in picking out specific elements from the sets of upper or lower bounds.
		A special situation does occur when a subset is equal to the set of lower bounds of its own set of upper bounds.
	en.wikipedia.org /wiki/Upper_bound (281 words)

	Supremum -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-09-07)
		Least upper bounds are important concepts in (additional info and facts about order theory) order theory, where they are also called joins (especially in (additional info and facts about lattice theory) lattice theory).
		As in the special case treated above, a supremum of a given set is just the least element of the set of its ((mathematics) a number equal to or greater than any other number in a given set) upper bounds, provided that such an element exists.
		The difference between the supremum of a set and the (additional info and facts about greatest element) greatest element of a set may not be immediately obvious.
	www.absoluteastronomy.com /encyclopedia/s/su/supremum.htm (1456 words)

	Textile braids for cables, flexible tubes and the like - Patent 5485774 (Site not responding. Last check: 2007-09-07)
		A cable in accordance with claim 4 in which said braid is formed of smooth multi-monofilament polyamide yarns and in which the twist in the yarns of said first set is substantially zero and the twist in the yarns of said second set is in the range 2-6 twists per meter.
		Preferably the twist in the yarns of one set (corresponding to the upper set) is substantially zero.
		The yarns loaded in the bobbins 1-12 of the upper set are "flat" and untwisted; in accordance with the invention, those loaded in the bobbins 13-24 of the lower set have a twist of about 1 turn per 250mm, which increases their tensile strength by about 25%.
	www.freepatentsonline.com /5485774.html (1416 words)

	Glossary of order theory (Site not responding. Last check: 2007-09-07)
		For a poset P and a subset X of P, the least element in the set of upper bounds of X (if it exists, which it may not) is called the supremum, join, or least upper bound of X.
		It is the infimum of the empty set and the supremum of P.
		An upper bound of a subset X of a poset P is an element b of P, such that x ≤ b, for all x in X.
	www.worldhistory.com /wiki/G/Glossary-of-order-theory.htm (2581 words)

	Absolute bounds on set intersection and union sizes from distribution information (Site not responding. Last check: 2007-09-07)
		A set intersection is the same as the complement (with respect the universe) of the set union of the complements.
		An upper bound on a complement is N minus a lower bound on the size of the set; a lower bound on a complement is N minus an upper bound on the size of the set.
		A.7 The universal set, the null set, and absorption
	www.cs.nps.navy.mil /people/faculty/rowe/intersect.html (12087 words)

	I. B. Turksen - RSCTC 2002
		In particular, upper set formula of Dempster is modified to be a containment as opposed to the non-empty intersection.
		The lower sets of all combinations that are constructed by both "AND" and "OR" linguistic connectives are formed by disjunction of all information granules that are totally contained in the target set, while the upper sets are formed by conjunction of all information granules that totally contain the target set.
		It is found that the upper sets are equivalent to the Fuzzy Conjunctive Canonical Forms, FCCF, and the lower sets are equivalent to the Fuzzy Disjunctive Canonical Forms, FDCF.
	www.gv.psu.edu /Conferences/rsctc2002/Speaker_I_B_Turksen.asp (358 words)

	[No title] (Site not responding. Last check: 2007-09-07)
		The optional upper and lower setback layers also generally have an aluminum composition, x, which is less than or equal to the aluminum composition of the upper and lower confining layers, although this is not necessarily the case.
		The O dopant concentration in the upper confining layer is dependent on the dominant emission wavelength of the LED 30.
		In addition to the O dopants, the upper confining layer 40 of the LED 30 is preferably formed with high p-type dopant flow, such as magnesium, zinc, carbon, or beryllium, to introduce a high concentration of p-type dopants into the upper confining layer.
	www.wipo.int /cgi-pct/guest/getbykey5?KEY=01/47035.010628&ELEMENT_SET=DECL (7328 words)

	[No title] (Site not responding. Last check: 2007-09-07)
		If a set has a greatest element then that greatest element is the supremum of the set.
		On the other hand a set may have no greatest element and still have a supremum (for example, #ref(1-set)this set studied in Class 4).
		In some theorems, one wants to use the least upper bound property to show that a set has a supremum, and it turns out to be quite hard to check that the set is non-empty.
	www.math.unl.edu /~jorr/webnotes/src/classes-1997/class05.wfy (586 words)

	Random Number Generator
		The second is mainly there to set the upper limit and display the results.
		If the upper limit is set to 50, you would get one of 50 different answers, and since the round method rounds up, you'll never get a zero.
		The upper limit number and the random number between 0 and 1 are figured first.
	www.developer.com /lang/other/print.php/604491 (307 words)

	[No title]
		However, this SRFI defines a set of "linear-update" procedures which have a hybrid pure-functional/side-effecting semantics: they are allowed, but not required, to side-effect one of their parameters in order to construct their result.
		Unless otherwise noted in the specification of a procedure, procedures always return character sets that are distinct (from the point of view of the linear-update operations) from the parameter character sets.
		A string is converted to the set of its constituent characters; a character is converted to a singleton set; a char-set is returned as-is. This procedure is intended for use by other procedures that want to provide "user-friendly," wide-spectrum interfaces to their clients.
	www.cc.gatech.edu /~shivers/srfi/srfi-14.txt (4637 words)

	[No title]
		Plan: Set the values of "s" to the parameters.
		Plan: Determine the bit in s to which e corresponds, and set that bit to 1.
		Plan: Use the bitwise OR operator to construct the union of each set of words in s1 and s2.
	ei.cs.vt.edu /~cs5604/Code/bool/bv.c (1012 words)

	Brother U.S.A./CANADA FAQ: Industrial Embroidery Machine FAQ
		It is meant to get the upper thread relatively close to the correct tension (provided that the trim tail length setting on the machine is still at its standard or default setting).
		Upper wiper stopper cushion is damaged or missing causing the wiper to go past the upper position sensor.
		Set screws holding upper connection rod to solenoid are loose.
	www.brother.com /europe/embroidery/faq/machine.html (1073 words)

	[No title]
		Set net operations in Western Alaska run the gamut from fairly sophisticated, high production enterprises in some parts of Bristol Bay to cash economy extensions of family subsistence efforts throughout the region.
		Types of projects of interest include, but are not necessarily limited, to those that improve logistics for set net and fish wheel operators; improve selectivity of the gear; demonstrate innovative changes and investments to an operation that significantly improves quality; and enhance the operational effectiveness of equipment used by set net and fish wheel operators.
		Projects may be applicable to a specific commercial set net or fishery, or to the commercial fish wheel fishery, or to these fisheries in general.
	www.dced.state.ak.us /oed/seafood/revitalization/pub/TFAP_WASIPapplication.doc (3651 words)

	Quasiconcavity and quasiconvexity (Site not responding. Last check: 2007-09-07)
		The spacing of the contour lines differs, but the set of points inside every contour has the same shape for each mountain---it is a disk.
		That is, we assume that every upper level set of the consumer's ordering is convex, which is equivalent to the condition that any function that represents the consumer's ordering is quasiconcave.
		For a function of a single variable, an upper or lower level set is typically an interval of points, or a union of intervals.
	www.chass.utoronto.ca /~osborne/MathTutorial/QCC.HTM (1938 words)

	SQL Server Forums at SQLTeam.com - Random Number
		select (@upper - @lower + 1) * rand() + @lower
		first it creates a table with @n number of entries where @n = @upper - @lower + 1...
		each entry is a random number between @lower and @upper.
	www.sqlteam.com /Forums/topic.asp?TOPIC_ID=14924 (889 words)

	Center for the Study of Democratic Societies - Socioeconomic Democracy: A Brief Introduction
		It should perhaps be explicitly stated that the primary effect of a democratically set upper bound on allowable personal wealth is definitely not the sudden availability of that previously private wealth which society, acting peacefully and legally through its democratic government, has decided to acquire for its general welfare.
		The specific details of the laws describing the particular forms of the democratically set upper wealth and lower income limits remain to be delineated and made the law of the land.
		The democratically set, universally guaranteed income would be available to all older women who require it and the democratically set maximum bound on personal wealth would provide economic incentive for the still rich, famous and powerful to cause meaningful, acceptable and satisfying work to be made available for all older women who desire it.
	www.centersds.com /briefintro.htm (14210 words)

	ARRAYED_SET Flat
		upper)) ensure then -- from CHAIN valid_index_definition: Result = ((i >= 1) and (i <= count)) ensure -- from LINEAR_SUBSET index_valid: 0 <= n and n <= count + 1 end valid_index (i: INTEGER): BOOLEAN is -- Is i a valid index?
		upper)) ensure then -- from CHAIN valid_index_definition: Result = ((i >= 1) and (i <= count)) ensure -- from LINEAR_SUBSET index_valid: 0 <= n and n <= count + 1 end feature {NONE} -- Status report all_cleared: BOOLEAN is obsolete "Use `all_default' instead" -- Are all items set to default values?
		all_default (upper - lower) ensure -- from ARRAY definition: Result = (count = 0 or else ((i_th (upper) = void or else i_th (upper) = i_th (upper).
	archive.eiffel.com /doc/online/eiffel50/intro/studio/index-09A/base/structures/set/arrayed_set_flat.html (2042 words)

	RangeSet (Site not responding. Last check: 2007-09-07)
		Remove all elements from this set of ranges.
		Compares the specified object with this set of ranges for equality.
		Returns a view of the portion of this sorted set whose elements are greater than or equal to
	geotools.sourceforge.net /gt2docs/api/org/geotools/util/RangeSet.html (1154 words)

	[No title]
		Thus $\sup B$ is an upper bound for $A$.
		Define the set $A+B$ by \[A+B=\{x+y\;:\; x\in A, y\in B\}\] Show that $\sup(A+B)$ exists and that \[\sup(A+B)\le\sup(A)+\sup(B)\] #end #tex(ans4) Since $A$ and $B$ are bounded above, the least upper bound property tells us that $\sup A$ and $\sup B$ exist.
		Since $\sup(A+B)$ is the {\it least} upper bound, it follows that $$\sup(A+B)\le \sup(A)+\sup(B)$$ #end #tex(quest5) Let $S$ be a subset of the linearly ordered set $X$.
	www.math.unl.edu /~webnotes/src/labs-1995/lab01.wfy (933 words)

	V4T Controller FAQs - Watlow Electric Manufacturing Company
		Use the up/down keys to adjust the set point in the lower display.
		How do I change degrees F to degrees C? Go to the set up menu, C_F parameter, to make your changes.
		When a system error occurs, the upper display will show an error code for a moment and then switch to dashes.
	www.watlow.com /products/controllers/f4/v4t_faqs.cfm (775 words)

	UD1 The Upper Deck Company - About Us
		Incorporating rockin' fashion cards, Spring's coolest accessories, and the hottest Bratz poses, will be encased in a wonderfully designed carrying case, complete with two 35-card decks, a game rules booklet, and all the added necessities to play the game.
		The Upper Deck Company, LLC is the premier worldwide sports and entertainment publishing company, with offices throughout the world, which delivers a portfolio of relevant, innovative and multi-dimensional product experiences to collectors, sports and entertainment enthusiasts.
		Founded in 1988, The Upper Deck Company, LLC is located in Carlsbad, California.
	www.upperdeck.com /marketing/news_article.aspx?aid=557 (1079 words)

	Michael Jordan Retirement Pin Set from Upper Deck (Site not responding. Last check: 2007-09-07)
		Michael Jordan Retirement Pin Set from Upper Deck
		A Certificate of Authenticity is included with this Upper Deck item.
		Every signing session is witnessed by an Upper Deck Authenticated (UDA) representative.
	www.onlinesports.com /pages/I,UD-40609.html (220 words)

	Moral Development [Internet Encyclopedia of Philosophy]
		Utilitarianism is unable to assure minimal fairness and equality, to view such considerations and others as morally inherent and untradable, to create moral disjuncts that set upper limits on obligation and lower limits on decency, to accord proper place and protection for individual autonomy, and the like.
		This locates the highest empirical stage in Kohlberg's theory in the same place that mainstream moral philosophy finds itself after two centuries of debate—with two main competing sets of principles, one fostering the advancement of social welfare and benevolent virtues, the other a mutual respect for individual liberty.
		The caring theme is researched as a set of interpretive skills and sensibilities, proclivities and habits, easily observed and verified.
	www.iep.utm.edu /m/moraldev.htm (10336 words)

	IDL Help (Site not responding. Last check: 2007-09-07)
		; Keywords : ; UPPER = Save the current color table in a common block, to be the ; upper part of the combined table.
		If neither the UPPER nor ; LOWER keyword is set, then UPPER is assumed.
		; William Thompson, Oct 1992, added UPPER keyword, and rewrote to allow ; loading the upper and lower common blocks in any order, and to ; allow each to be independently reloaded.
	www.astro.washington.edu /deutsch-bin/getpro/library32.html?COMBINE_COLORS (689 words)

	Harp Guitar Patents
		When the preferred two sets are installed, the second is tuned to one of the other commonly used chords (thus described, it is exactly how I use the two lower banks of my Knutsen "zither harp guitar.").
		No tuners for either set of strings are shown, nor does it look like there is enough practical room - thus I suspect that Nordwall never actually built one of his designs.
		Somehow, either set of strings can be independently used, so even though it has one neck and one fingerboard, it functions as a "multi-neck instrument.
	www.harpguitars.net /history/patents.htm (4279 words)

	<set> (Site not responding. Last check: 2007-09-07)
		The type describes an element of the controlled sequence.
		The type describes an object that can serve as a reverse bidirectional iterator for the controlled sequence.
		All constructors store an allocator object and initialize the controlled sequence.
	www.dinkumware.com /htm_cpl/set.html (2598 words)

	IDL Help
		The user ; can also split the color tables into two parts: an upper and a lower ; section, load different color tables into these two parts, and adjust ; them separately.
		; Keywords : ; FILE = If this keyword is set, the file by the given name is used ; instead of the file colors1.tbl in the IDL directory.
		First, decide which kind ; of gamma correction to apply: color table shift (default) or intensity ; shift.
	www.astro.washington.edu /deutsch-bin/getpro/library32.html?XLOAD (2962 words)

	MLB.com Store - 2004 Upper Deck Deluxe Set
		A complete set of Upper Deck series 1 and 2 along with the Update set that will be released in 2005, all in a high gloss, premium card stock format.
		The 570 total card set comes packed in a high end wooden box.
		Use of the Website signifies your agreement to the Terms of Use and Privacy Policy (updated 3.22.05).
	shop.mlb.com /entry.point?entry=1858852 (131 words)

	HPI Adjustable Upper Arm Set Savage
		HPI Skid Plate/Body Mount/Shock Tower Set Savage 21
		This is the Adjustable Upper Arm set for the HPI Savage truck.
		INCLUDES: Upper arm set- pt# 85067 (HPIC8567) Four 6.8x8x3mm ball ends- pt# 86144 (HPIC8644) Two M5x35mm turnbuckle- pt# 93617 (HPIC9317) Six M3x20mm cap head screw- pt# Z547, (HPIC2547) Six M3 nylon locknut, pt# Z663, (HPIC1363) One turnbuckle wrench, pt# Z960, (HPIR9960)
	www2.towerhobbies.com /cgi-bin/wti0001p?&I=LXEKJ9&P=7 (212 words)

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