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Topic: Upper bound

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	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.
		This leads to the consideration of least upper bounds (or suprema) and greatest lower bounds (or infima).
	en.wikipedia.org /wiki/Upper_bound (242 words)

	Least upper bound axiom - Wikipedia, the free encyclopedia
		The least upper bound axiom, also abbreviated as the LUB axiom, is an axiom of real analysis.
		The axiom says that if a nonempty subset of the real numbers has an upper bound, then it has a least such.
		is an upper bound for S. By the LUB Axiom, let b be the least upper bound.
	en.wikipedia.org /wiki/Least_upper_bound_axiom (219 words)

	sciforums.com - Upper Bound
		I am required to prove that 3 is an upper bound for S and justify whether I think it is a least upper bound.
		An upper bound is defined as being a number in N such that for all s in S, k >= s.
		That would mean that no number less than 3 could be an upper bound since we could take "epsilon"= 3 minus that number and show that there must be a member of the sequence closer to 3 than that: i.e.
	www.sciforums.com /showthread.php?t=33574 (1328 words)

	PlanetMath: upper bound (Site not responding. Last check: 2007-10-07)
		Lower bound, and bounded from below are defined in a similar manner.
		bound, lower bound, bounded, bounded from above, bounded from below
		This is version 4 of upper bound, born on 2001-10-21, modified 2004-03-20.
	planetmath.org /encyclopedia/UpperBound.html (65 words)

	Definition of Upper Bound and Least Upper Bound (Supremum)
		S. The set S is said to be "bounded above" by C. A function, f, is said to have a upper bound C if f(x) ≤ C for all x in its domain.
		The least upper bound, called the supremum, of a set S, is defined as a quantity M such that no member of the set exceeds M, but if ε is any positive quantity, however small, there is a member that exceeds M - ε.
		The least upper bound of a function, f, is defined as a quantity M such that f(x) ≤ M for all x in its domain, but if ε is any positive quantity, however small, there is an x in the domain such that f(x) exceeds M - ε.
	www.mcraeclan.com /MathHelp/CalculusLimitUpperBound.htm (457 words)

	Mathwords: Least Upper Bound of a Set
		The smallest of all upper bounds of a set of numbers.
		For example, the least upper bound of the interval (5, 7) is 7.
		The least upper bound of [5, 7] is also 7.
	www.mathwords.com /l/least_upper_bound.htm (43 words)

	A Practical Upper Bound for Departure from Normality
		A simple formula is presented for computing an upper bound for departure from normality in the Frobenius norm.
		Moreover, the new bound is sharp for Hermitian matrices, skew-Hermitian matrices and, in general, any matrix with eigenvalues that are horizontally or vertically aligned in the complex plane.
		In terms of applications, the new bound can be used in computing bounds for the spectral norm of matrix functions or bounds for the sensitivity of eigenvalues to matrix perturbations.
	epubs.siam.org /sam-bin/dbq/article/25518 (166 words)

	PlanetMath: lowest upper bound (Site not responding. Last check: 2007-10-07)
		Greatest lower bound is defined similarly: a greatest lower bound of
		Cross-references: lower bound, property, upper bound, subset, partial ordering
		This is version 6 of lowest upper bound, born on 2001-10-21, modified 2004-09-20.
	planetmath.org /encyclopedia/LowestUpperBound.html (52 words)

	Lower-bound and upper-bound markers (Site not responding. Last check: 2007-10-07)
		It is often convenient to define explicitly the lower bound and upper bound of a type map, and override the definition given by Equation 1 on page 1.
		Similarly, the upper bound ofTypemap is defined to be
		The two functions below can be used for finding the lower bound and the upper bound of a datatype.
	www.netlib.org /mpi/mpi-report-1.0/node56.html (433 words)

	Analysis WebNotes: Chapter 02, Class 05
		Notice that every element of X is an upper bound for the empty set.
		In practice, when one uses the least upper bound property, one always has to remember to check that the set being considered is nonempty.
		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 /~webnotes/classes/class05/class05.htm (373 words)

	Lower-bound and upper-bound markers
		It is often convenient to define explicitly the lower bound and upper bound of a type map, and override the definition given on page Lower-bound and upper-bound markers.
		Also, the user may want to overide the alignment rules that are used to compute upper bounds and extents.
		Similarly, the upper bound of Typemap is defined to be
	www.mpi-forum.org /docs/mpi-11-html/node57.html (468 words)

	Ixora Answers - Upper bound commit SCN (Site not responding. Last check: 2007-10-07)
		To be fussy it is an "upper bound commit SCN" with respect to the cleanout of a particular transaction, but the "control SCN" with respect to its rollback segment.
		Yes, an ORA-1555 would be returned immediately if a query needs a consistent block image prior to the upper bound commit SCN of a previously cleaned out transaction.
		Just to clarify my understanding, is the upper bound scn the earliest possible scn that can be rolled back to in a particular rollback segment.
	www.ixora.com.au /q+a/0104/11182717.htm (112 words)

	An informative upper bound
		that the spike train is a renewal process) leads to an exact expression (rather than the upper bound provided by the reconstruction method) for the mutual information, subject only to error in the estimation of the ISI distribution.
		The upper bound on the possible information transmitted in this model is straightforward to calculate [MacKay and McCulloch, 1952].
		This upper bound on the information encoded in a discretized spike train is achieved if (1) there is no noise; (2) spikes are independent; and (3) the spike rate is low compared to the inverse bin size,
	www.cnl.salk.edu /~zador/MI-final/node12.html (286 words)

	Bound article - Bound upper bound Bound (movie) disambiguation - What-Means.com (Site not responding. Last check: 2007-10-07)
		Bound article - Bound upper bound Bound (movie) disambiguation - What-Means.com
		This is a disambiguation page; that is, one that points to other pages that might otherwise have the same name.
		Bound article - Bound definition - what means Bound
	www.what-means.com /encyclopedia/Bound (76 words)

	asymptotic upper bound (Site not responding. Last check: 2007-10-07)
		Definition: An asymptotic bound, as function of the size of the input, on the worst (slowest, most amount of space used, etc.) an algorithm will do to solve a problem.
		That is, no input will cause the algorithm to use more resources than the bound.
		Sandeep Kumar Shukla, "asymptotic upper bound", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
	www.nist.gov /dads/HTML/asymptoticUpperBound.html (108 words)

	Upper / Lower Bound Problems - Excentrics World Forums (Site not responding. Last check: 2007-10-07)
		I have this setup with a min bound range of 8:00 AM, but i allow the users to enter in any time they wish.
		What i am seeing is when a user enters in a value < than the lower bound, or > the upper bound, they save and everything works fine, but when they come back to the page, the value they set has changed to show the lower bound time instead of what previously entered.
		My preference would be that the Upper / Lower bound properties only control what values appear in the drop down, they shouldn't have any influence over values in the textbox itself.
	www.eworldui.net /Forums/ShowPost.aspx?PostID=1096 (456 words)

	Lower-bound and Upper-bound Markers
		To allow this capability, MPI has two additional ``pseudo-datatypes,'' MPI_LB and MPI_UB, MPI_LB MPI_UB that can be used, respectively, to mark the lower bound or the upper bound of a datatype.
		MPI_TYPE_LB returns the lower bound of a datatype, in bytes, relative to the datatype origin.
		MPI_TYPE_UB returns the upper bound of a datatype, in bytes, relative to the datatype origin.
	zikova.cvut.cz /parallel/mpi-book/node87.html (425 words)

	Upper Bound Transformations
		Our goal is to compute a tight upper bound on the likelihood of the observed findings:
		As discussed in Section 4.2, we obtain an upper bound on
		by introducing upper bounds for individual node conditional probabilities.
	www.cs.cmu.edu /afs/cs/project/jair/pub/volume10/jaakkola99a-html/node14.html (504 words)

	Throughput upper bound
		Once proved the advantage of TIBET over Reno, we address the issue of how far is the performance of TIBET from the upper bound of all possible schemes exploiting the new bandwidth estimation approach.
		Such an upper bound is obtained by assuming an Ideal TCP that sets the ssthresh having knowledge of the exact bandwidth available along the path.
		We notice that the TIBET performance is reasonably close to the bound.
	www.elet.polimi.it /upload/martigno/tcp/node9.html (406 words)

	Upper Bound Tutor
		I'm just learning upper bound tutor and I need help.
		I'm not understanding upper bound tutor and I'm falling way behind in class.
		Yes, there is help with upper bound tutor.
	www.algebra-answer.com /algebra-helper/upper-bound-tutor.html (553 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations
		Energy Citations Database (ECD) Document #5374793 - Upper bound on the decay constant of familons
		Availability information may be found in the Availability, Publisher, Research Organization, Resource Relation and/or Author (affiliation information) fields and/or via the "Full-text Availability" link.
		Upper bound on the decay constant of familons
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=5374793 (116 words)

	Lower-bound and upper-bound markers
		) }, then the lower bound of Typemap is defined to be
		displacement of lower bound from origin, in bytes (integer)
		displacement of upper bound from origin, in bytes (integer)
	www-unix.mcs.anl.gov /mpi/mpi-standard/mpi-report-1.1/node57.htm (473 words)

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