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Topic: Perturbation

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	Perturbation theory - Wikipedia, the free encyclopedia
		Perturbation theory has its roots in 17th century celestial mechanics, where the theory of epicycles was used to make small corrections to the predicted paths of planets.
		Perturbation theory saw a particularly dramatic expansion and evolution with the arrival of quantum mechanics.
		Although perturbation theory was used in the semi-classical theory of the Bohr atom, the calculations were monstrously complicated, and subject to somewhat ambiguous interpretation.
	en.wikipedia.org /wiki/Perturbation_theory (2290 words)

	Perturbation Growth Test Procedure
		The perturbation growth test described here [Ros97] was designed as an inexpensive test to give reasonable confidence that solution differences are due only to rounding differences.
		The CLM is extremely sensitive to small perturbations and so the tests are done in "aqua-planet" mode which eliminates interaction with the land model.
		The first two are done with the control (trusted) model and differ due to a perturbation introduced into the lowest-order bits of the initial values of the temperature field of one of the runs.
	www.ccsm.ucar.edu /models/atm-cam/port/pergro-test.html (1240 words)

	Perturbation Theory
		This approach, which is called perturbation theory, is the way superstring theories were studied until recently.
		Perturbative quantum string theory can be formulated by the Feynman sum-over-histories method.
		The attractive features of this approach are that there is just one diagram at each order of the perturbation expansion and that each diagram represents an elegant (though complicated) mathematical expression that is ultraviolet finite (no short-distance infinities).
	www.theory.caltech.edu /people/jhs/strings/str141.html (240 words)

	Introduction to Monte Carlo Perturbation Calculation
		In a straightforward perturbation computation, two independent simulations are performed and the difference of the two results are calculated.
		For small perturbations, the relative error of the difference of two independent simulations can be much larger than the relative error of the unperturbed or perturbed quantity [Spa69].
		For eigenvalue perturbation calculations, using correlated and derivative operator sampling, these two methods are applied to the Green's function or fission matrix approach for eigenvalue calculations.
	www.sdsc.edu /~majumdar/thesis/node5.html (368 words)

	Perturbation (Site not responding. Last check: 2007-11-02)
		Perturbation stability perturbation some trial and never returning to exactly the same arrangement and complex science.
		Perturbation we perturbation now summarize an algorithm that is this perturbation reasonable.
		Perturbation how are these ultimately perturbation describable by such as forms of the objective function.
	perturbation.daringbo.net /perturbation_94.html (324 words)

	Highbeam Encyclopedia - Search Results for perturbation
		perturbation PERTURBATION [perturbation], in astronomy and physics, small force or other influence that modifies the otherwise simple motion of some object.
		The effects of vowels on voice perturbation measures.
		Perturbation and nonlinear dynamic analyses of voices from patients with unilateral laryngeal paralysis.
	www.encyclopedia.com /SearchResults.aspx?Q=perturbation (720 words)

	Orbital Perturbation -- from Eric Weisstein's World of Physics
		The orbital perturbation in eccentricity of an elastic satellite is given by
		The mean orbit plane of a far satellite precesses around the pole of the planet's orbit as a result of solar perturbations.
		For an intermediate planet, the pole of a satellite's orbit precesses on a nearly circular path in a plane normal to the mean pole.
	scienceworld.wolfram.com /physics/OrbitalPerturbation.html (323 words)

	Perturbation theory (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-11-02)
		For Perturbation theory as applied to quantum mechanics, see perturbation theory (quantum mechanics).'' ---- Perturbation theory comprises mathematical methods that are used to find an approximate solution to a problem which cannot be solved exactly, by starting from the exact solution of a related problem.
		Examples for the kind of solution to be found perturbatively: the solution of the equation (e.g.
		The same problem occurs in many real applications in physics and elsewhere: Perturbation theory may only be used to find those solutions of a problem that evolve smoothly out of the initial solution when changing the parameter (that are "adiabatically connected" to the initial solution).
	perturbation-theory.iqnaut.net.cob-web.org:8888 (595 words)

	System Perturbation: Conflict in the Age of Globalization
		We noted at the beginning of this paper that a system perturbation is like a giant stone dropped into a calm pond.
		If true, then system perturbation, not great power war, needs to be the organizing principle governments use to build their strategies and field their resources since it covers a greater number of adverse situations.
		Because system perturbation implies that the international system is affected, some functions are probably beyond the ken of national governments and transnational solutions will have to be worked out.
	www.thomaspmbarnett.com /published/SystemPerturbation.htm (6207 words)

	[No title]
		On perturbation theorems for the generalized eigenvalues of regular matrix pencils, (in Chinese), Math.
		Relative Perturbation Bounds for the Unitary Polar Factor, BIT, 37, 67-75, 1997.
		Relative perturbation theory: IV Theorems, Technical Report 99-12, Department of Mathematics, University of Kentucky, 1999.
	www.ms.uky.edu /~rcli/publications.html (995 words)

	Perturbation Methods - Cambridge University Press (Site not responding. Last check: 2007-11-02)
		Perturbation methods are one of the fundamental tools used by all applied mathematicians and theoretical physicists.
		Asymptotic expansions, strained coordinates and multiple scales are illustrated by copious use of examples drawn from all areas of applied mathematics and theoretical physics.
		The author does not look to perturbation methods to give quantitative answers but rather to give a physical understanding of the subtle balances in a complex problem.
	www.cambridge.org /catalogue/catalogue.asp?isbn=0521373107 (199 words)

	1.3 Linear perturbation theory of black holes
		The fl hole perturbation theory was originally developed as a metric perturbation theory.
		In the fl-hole perturbation approach, the Green function takes account of the curved spacetime effect on the wave propagation, which implies complexity of its structure in contrast to the flat-space Green function.
		Thus, since the system is linear in the fl-hole perturbation approach, the most non-trivial task is the construction of the Green function.
	relativity.livingreviews.org /Articles/lrr-2003-6/articlesu3.html (660 words)

	Perturbation Analysis, Regular and Singular
		The previous example illustrates regular perturbation ananlysis where the damping coefficient is a vanishingly small parameter.
		But the damped linear oscillator also provides a case of singular perturbation analysis when the mass is a vanishingly small parameter.
		The difference between the two cases is that mass is the coefficient of the second derivative in the equation so its vanishing reduces the order of the differential equation from two to one.
	www.sjsu.edu /faculty/watkins/perturb.htm (785 words)

	Perturbation Theory
		The basic idea of perturbation theory is very simple: we split the Hamiltonian into a piece we know how to solve (the ``reference'' or ``unperturbed'' Hamiltonian) and a piece we don't know how to solve (the ``perturbation'').
		As long as the perburbation is small compared to the unperturbed Hamiltonian, perturbation theory tells us how to correct the solutions to the unperturbed problem to approximately account for the influence of the perturbation.
		According to perturbation theory, the first-order correction to the energy is
	vergil.chemistry.gatech.edu /notes/quantrev/node27.html (282 words)

	Perturbation vs Bifurcation Theory (Site not responding. Last check: 2007-11-02)
		Might say a "steady" bifurcation, or the non-existence of a bifurcation as a result of a perturbation, is actually a perturbation (of sorts...
		The "Perturbation technique" is a method of (approximately) solving a non-linear problem by writing the "non-linear" part as a power series in some parameter.
		In the case of a singular perturbation, for example in boundary layer theory, this is by no means the case (for the "outer solution").
	www.physicsforums.com /showthread.php?p=1083213#post1083213 (543 words)

	Singular perturbation links
		Research Interests: Geometric singular perturbation theory Stability of solutions to parabolic systems of partial differential equations Pattern formation and bifurcation mechanisms in systems of pde Applications of dynamical systems to nonlinear fiber optics, neural oscillators, cellular processes, and particle flows in fluids.
		This work is primarily motivated by the applications to be studied, and involves the extension of existing techniques in singular perturbations and the development of new ones.
		Research Interests:....the relationship between singular perturbation theory and various regularization methods for differential-algebraic systems, geometric approaches to understanding the limiting solutions to singularly perturbed boundary value problems, the motion of shock layers and other interfaces, the interplay between asymptotic and numerical methods, and tough problems of asymptotic matching......
	www.ima.umn.edu /~milik/singdir.html (2677 words)

	Time dependent Perturbation Theory #1
		This page is the first of three pages on the Time-dependent perturbation theory.
		You can go directly to 2: The role of radiation or 3: The transition rate between states, as given by Fermi's 'golden rule'.
		Perturbation theory (PT) comprises an important set of approximation methods in Quantum Physics.
	venables.asu.edu /quant/timedep1.html (887 words)

	CS 369: A Study of Perturbation Techniques for Data Privacy (Site not responding. Last check: 2007-11-02)
		Data perturbation is a classical technique for solving this problem.
		In one version, the data are perturbed once, and the perturbed values are published.
		In the second version, the data are held secret; the database algorithm computes the true response to queries, and adds noise to the answer, reporting only the noisy answer.
	theory.stanford.edu /~nmishra/cs369-2004.html (648 words)

	RRZE - Cluster perturbation theory for electron-phonon systems (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-11-02)
		Cluster perturbation theory represents a powerful and versatile method to study spectral properties of strongly correlated systems.
		In existing work, the numerical diagonalization of the cluster problem has been done by means of the spectral decoding method which, however, faces problems due to numerical instabilities.
		M Hohenadler, G Wellein, A Alvermann, and H Fehske, Many-polaron problem by cluster perturbation theory, cond-mat/0505559 (preprint), Physica B (2006), in print.
	www.rrze.uni-erlangen.de.cob-web.org:8888 /dienste/arbeiten-rechnen/hpc/Projekte/cpt.shtml (444 words)

	perturbation - Synonyms from Thesaurus.com
		abashment, agitation, beating, chagrin, comedown, confusion, conquest, defeasance, defeat, demoralization, descent, disappointment, discomposure, disconcertion, disconcertment, disquiet, drubbing, embarrassment, failure, humiliation, licking, overthrow, perturbation, rout, ruin, shame, shellacking, undoing, unease, uneasiness, upset, vanquishment
		aggravation, annoyance, bedevilment, bother, bothering, disturbance, exasperation, hassle, irking, irritation, molestation, nuisance, persecution, perturbation, pestering, provocation, provoking, torment, trouble, vexation, vexing
		anger, annoyance, dudgeon, miff, offense, passion, perturbation, pet, pique, rage, snit, stew*, temper, tiff, umbrage
	thesaurus.reference.com /browse/perturbation (600 words)

	Industrielle perturbation (Site not responding. Last check: 2007-11-02)
		At some point all starting point all industrielle perturbation the industrielle perturbation members differently, and social sciences.
		BackNext perturbation and generating new behaviours the hth term used in perturbation theory.
		Most science is usually enough to industrielle perturbation completely invisible in many global and local search algorithms.
	perturbation.daringbo.net /industrielle-perturbation.html (314 words)

	Perturbation - Search Results - MSN Encarta
		An orbit is perturbed when the forces are more complex than those between two spherical bodies.
		- being perturbed: disturbance and trouble, a disturbed and troubled state, or the act of disturbing and troubling somebody or something
		How well did we match your search term?
	encarta.msn.com /encnet/refpages/search.aspx?q=Perturbation (97 words)

	Words/Phrases DEFINED: 'perturbation'. Father Jerome's SPECIALIZED DICTIONARY of KEYWORDS/PHRASES pertaining to ...
		The term refers to the actual 'Output-Decision' that has finally been made by any momentary 'dynamic' of the Ground-State 'Landscape' of a Condensate of Incorporeality, which might also be called a 'point-of-criticality', if it is merely another 'input' for the next moment of processing by the 'dynamics' of that Landscape!
		If it is more accurately an actual Output, then the term 'Perturbation' should more accurately apply!
		If it is more accurately an Output of a new Life-form, then 'Emergence of Life-form' shall apply!
	www.angelfire.com /ca/sanmateoissues/becdic/perturba.html (245 words)

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