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Topic: Boundedness

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	Uniform boundedness principle - Wikipedia, the free encyclopedia
		In mathematics, the uniform boundedness principle or Banach-Steinhaus Theorem is one of the fundamental results in functional analysis and, together with the Hahn-Banach theorem and the open mapping theorem, considered one of the cornerstones of the field.
		In its basic form, it asserts that for a family of continuous linear operators whose domain is a Banach space, pointwise boundedness is equivalent to boundedness.
		Given a barrelled space X and a locally convex space Y, then any family of pointwise bounded continuous linear mappings from X to Y is equicontinuous (even uniformly equicontinuous).
	en.wikipedia.org /wiki/Uniform_boundedness_principle (300 words)

	James O. C. Ezeilo
		Professor James Ezeilo, with Chike Obi and Adegoke Olubummo, was one of a trio of fl mathematicians who pioneered modern mathematics research in Nigeria is sometimes called the "father of mathematics" in Nigeria.
		Ezeilo, James Okoye Chukuka A generalization of a boundedness theorem for the equation $\ddot x+\alpha \ddot x+\phi\sb 2$ $(\ddot x)+\phi\sb 3$ $(x)=\psi (t,x,\dot x,\ddot x)$.
		Boundedness and periodicity of solutions of a certain system of third-order non-linear differential equations.
	www.math.buffalo.edu /mad/PEEPS/ezeilo_james.html (1345 words)

	Boundedness of solutions for a class of nonlinear planar systems, Lihong Huang, Yuming Chen, Jianhong Wu
		L. Huang, On the necessary and sufficient conditions for the boundedness of the solutions of the nonlinear oscillating equation, Nonlinear Anal.
		L. Huang, On the boundedness of solutions and the existence of limit cycles for a class of nonlinear differential systems, Chinese J. Math.
		J. Kato, On a boundedness condition for solutions of a generalized Liénard equation, J. Differential Equations 65 (1986), 269--286.
	projecteuclid.org /getRecord?id=euclid.tmj/1113247602 (364 words)

	Boundedness - Wikipedia, the free encyclopedia
		A function defined on an interval of the real line has bounded variation if its graph has finite arclength.
		In axiomatic set theory, the boundedness axiom is a closely related and equivalent axiom to the axiom of replacement.
		In coarse geometry, a subset X of a space with a coarse structure is bounded if
	en.wikipedia.org /wiki/Bounded (290 words)

	Undecidable Boundedness Problems for Datalog Programs - Hillebrand, Kanellakis, Mairson, Vardi (ResearchIndex)
		Deciding boundedness is a basic task for the analysis of database logic programs.
		The undecidability of Datalog boundedness was first demonstrated by Gaifman et al.
		3 Predicate Boundedness of Linear Monadic Datalog is in PSPACE - van der Meyden - 1990
	citeseer.ist.psu.edu /304171.html (743 words)

	5.17 Pre-classicality and boundedness
		A similar issue is the boundedness of solutions, which also is motivated intuitively by referring to the common probability interpretation of quantum mechanics [119] but must be supported by an analysis of physical inner products.
		Both issues, pre-classicality and boundedness, seem to be reasonable, but their physical significance has to be founded on properties of the physical inner product.
		Moreover, numerical investigations have to be taken with care since in particular for boundedness an exponentially increasing contribution can easily arise from numerical errors and dominate the exact, potentially bounded solution.
	relativity.livingreviews.org /Articles/lrr-2005-11/articlesu40.html (716 words)

	Uniform Boundedness (Site not responding. Last check: 2007-10-24)
		In mathematics, the uniform boundedness principle or Banach-Steinhaus Theorem is one of the fundamental results in functional analysis and,...
		home.hia.no/~olavn/pamsart.pdf Save Principle of Uniform Boundedness 1 Let H be a Hilbert space, with a (PDF File) Principle of Uniform Boundedness 1 Let H be a Hilbert space, with a family fT g B(H).
		Uniform boundedness and global existence of solutions for reaction-diffusion systems with a balance law and a full matrix of diffusion...
	www.uniformboundedness.info (456 words)

	Boundedness of Canonical Q-Fano 3-Folds (ResearchIndex)
		7 Rational connectedness and boundedness of Fano manifolds (context) - Koll'ar, Miyaoka et al.
		5 Boundedness theorem for Fano log-threefolds (context) - Borisov - 1996
		2 Boundedness of Fano threefolds with log-terminal singulariti..
	citeseer.ist.psu.edu /410240.html (383 words)

	Boundedness (Site not responding. Last check: 2007-10-24)
		As mentioned earlier, the key difference between bounded and unbounded objects is that the former can be members of other sets while the latter cannot.
		This fact establishes a necessary and sufficient test for boundedness - an object is bounded just in case it is a member of a set.
		However, this is not very helpful, since we often need to determine whether or not an object is bounded based on other properties, not the sets of which it is a member.
	logic.stanford.edu /kif/Hypertext/node24.html (285 words)

	Local Boundedness (Site not responding. Last check: 2007-10-24)
		Rockafellar, Local boundedness of nonlinear, monotone operators, Michigan Math.
		It implies the existence and local uniform boundedness of the density of states.
		Furthermore, there is evidence of local boundedness of spillovers (see, e.
	www.localboundedness.info (319 words)

	PODS 1991: 1-12
		Deciding boundedness is a basic task for the analysis of these database logic programs.
		We develop a number of new tools for proving (un)decidability of various kinds of boundedness for programs with: a small arity of the recursively defined predicates or a small number of rules.
		Serge Abiteboul: Boundedness is Undecidable for Datalog Programs with a Single Recursive Rule.
	www.informatik.uni-trier.de /~ley/db/conf/pods/HillebrandKMV91.html (675 words)

	Lagrange stability and boundedness of discrete-event systems. (Site not responding. Last check: 2007-10-24)
		In this paper we extend the conventional notions and analysis of uniform boundedness, uniform ultimate boundedness, practical stability, finite time stability, and Lagrange stability so that they apply to the class of logical DES that can be defined on a metric space.
		Within this stability-theoretic framework we show that the standard Petri net-theoretic notions of boundedness are special cases of Lagrange stability and uniform boundedness.
		In addition we show that the Petri net-theoretic approach to boundedness analysis is actually a Lyapunov approach in that the net-theoretic analysis actually produces an appropriate Lyapunov function.
	www.informatik.uni-hamburg.de /TGI/pnbib/p/passino_k_m1.html (273 words)

	Boundedness of reset P/T nets. (Site not responding. Last check: 2007-10-24)
		Surprisingly, several problems related to boundedness are harder for reset nets that for the more expressive transfer nets.
		The main result of this paper is that boundedness is undecidable for nets with three reset arcs, while it is decidable for nets with two resetable places.
		Keywords: boundedness property, decidability, reset arcs, reset place/transition nets, transfer arcs.
	www.informatik.uni-hamburg.de /TGI/pnbib/d/dufourd_c1.html (107 words)

	Citebase - On L. Schwartz's boundedness condition for kernels (Site not responding. Last check: 2007-10-24)
		The aim of this note is to find more concrete expressions of the Schwartz type conditions: in the Hamburger moment problem for Hankel type kernels on the free semigroup, in dilation theory (Stinespring type dilations and Haagerup decomposability), as well as in multi-variable holomorphy.
		Among other things, we prove that any hermitian holomorphic kernel has a holomorphic linearization, and hence that holomorphic kernels automatically satisfy L. Schwartz's boundedness condition.
		Users are cautioned not to use it for academic evaluation yet.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/0212218 (178 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations (Site not responding. Last check: 2007-10-24)
		A formulation of the problem of boundedness and stability of the power level of a nuclear reactor describable by a nonlinear model is presented.
		A sufficient cniterion for boundedness and stability is derived and proved to be equivalent to the criterion suggested by Welton.
		The criterion is illustrated by means of two examples.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=4152710 (132 words)

	Will Wilkinson / The Fly Bottle » 2005 » December
		I think historical works like this should help would-be social scientists to see that happiness is a cultural conception that has evolved a great deal over time, and continues to evolve.
		The cultural boundedness of happiness implies that it is not particularly scientific to pluck our current conception of happiness out of history, pickle it in a jar of formaldehyde, and pretend that happiness studies are plumbing the timeless essence of a universal natural psychological kind, which, it just happens, uniquely exemplifies moral value.
		But let me gripe some about the review.
	www.willwilkinson.net /flybottle/2005/12 (6439 words)

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