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Topic: Local linearity

	Local linearity - Wikipedia, the free encyclopedia
		Local linearity is a property of differentiable functions that says – roughly – that if you zoom in on a point on the graph of the function (with equal scaling horizontally and vertically), the graph will eventually look like a straight line with a slope equal to the derivative of the function at the point.
		Thus, local linearity is the graphical manifestation of differentiability.
		Functions are not locally linear at points where they have discontinuities, breaks, jumps, vertical asymptotes, cusps, or the like.
	en.wikipedia.org /wiki/Local_linearity (193 words)

	Discrete-time Survival Analysis (Site not responding. Last check: 2007-10-30)
		Linearity is assured for fitting data because their models incorporate the necessary and sufficient conditions for constructing linear measures.
		Local failures of the data to support linear measurement construction are detected by local misfits, rather than by the increase in global fit that occurs when local misfits are modelled non-linearly.
		Identification of local misfit motivates the analyst either to edit the data toward coherent subsets or to reconceptualize the linear model.
	www.rasch.org /rmt/rmt73g.htm (475 words)

	Utilizing Precalculus Experiences with Graphing Calculators: A Local Linearity Approach to Calculus - Daniel J. Teague, ...
		The principle of local linearity is closely related to that of differentiability; a function is locally linear at all points at which it is differentiable.
		By emphasizing the visual, geometric aspect of local linearity and the greatly simplified algebraic operations with linear functions, we can offer students intuitively appealing, convincing arguments to support their understanding of calculus.
		The mathematics faculty at NCSSM use the principle of local linearity in its theoretical development of calculus.
	www.fi.uu.nl /en/Icme-8/WG13_17.html (1470 words)

	4.7 Wavefunction optimisation
		As the parameters are varied during optimisation, the local energy is repeatedly evaluated for the fixed set of electron configurations.
		A useful property of the Jastrow factor outlined in section 4.3.2 is the linearity of Jastrow factor with respect to the parameters.
		The non-local energy may also be computed efficiently during wavefunction optimisation by taking advantage of the linearity of the parameters in the Jastrow factor, as is done for the evaluation of the kinetic energy.
	www.physics.uc.edu /~pkent/thesis/pkthnode30.html (684 words)

	Specifications and Measurement of Local Oscillator Noise in Integrated Circuit Base Station Mixers - Maxim/Dallas
		The linearity and noise requirements of the mixer blocks are usually met by passive diode-ring mixers requiring >17dBm drive into the LO port (Figure 2).
		Therefore, it is possible to filter the local oscillator residual noise before applying to the mixer.
		The increase in noise floor in the presence of a blocker is attributed to the degradation in signal-to-noise ratio output of the mixer from N
	www.maxim-ic.com /appnotes.cfm/appnote_number/2021 (1534 words)

	IRIDIA Projects: Lazy Learning for Modeling and Control
		It is precisely the simple form of the local models, and consequently the possibility of handling them using standard and well-known tools from linear statistics, that makes the local approach appealing.
		These examples are used to extract a local description of the system - for example through a local linear model - and finally to fulfill the request.
		Most of the appealing features peculiar to local modeling are maintained: the adoption of linear local models guarantees both readability and applicability of reliable statistical tools.
	iridia.ulb.ac.be /Projects/lazy.html (1555 words)

	Welcome to SoundEngine AS - Sound Of The Future
		The local error correction is dynamically adjusted to cancel non-linearities and distortion in case the applied input signal will cause sufficient non-linearity for one or more of the cascaded gain stages.
		When no error correction is performed, the gain stages are working as cascaded local feedback gain stages with the specified voltage and current gain.
		Because of the distributed local error correction topology, the signal delay through respective amplifying stages is kept low, and hence the error correction speed and error canceling is much higher than in a global feedback amplifier.
	www.hegel.com /technology.htm (232 words)

	Feedback and fidelity part 2
		The Local Hero’s chief feature is the absence of global negative feedback from the output transformer secondary to the input stage.
		In a circuit with high linearity— the result of large amounts of negative feedback— the transfer curve is a straight line up to saturation, where is abruptly levels off.
		The linearity curve is trickier because it involves differentiating the output voltage with respect to the input.
	www.normankoren.com /Audio/FeedbackFidelity2.html (4245 words)

	[No title]
		An operation that is locally linear in all of its vector arguments is called a \emph{tensor field}.
		An example of a simple operation that is linear, but \emph{not} locally linear, is the Lie derivative of one vector field $u$ with respect to another vector field $w$.
		A simple way to state the entire program of differential geometry is that it consists of finding all of the possible operations on a manifold that are either locally linear or Leibnizian in all of their arguments.
	www.people.vcu.edu /~rgowdy/phys591/rap/diffgeom.rap (4081 words)

	FORUM Le récit interactif, 6 décembre 2000, Jean-Pierre Balpe
		The problems goes from a "general" linearity, which concerns large portions of a piece, to some "local" linearities, which only concern micro-events, because the possibility of markers then becomes the problem.
		In fact, the linearity tend to be restricted inside a sentence and have almost all a syntaxic form.
		Those local linearity cannot be considered as fiction elements but simply as elements of knowledge representation.
	www.ciren.org /recit/balpe-riE.html (2474 words)

	Intelligence quotient - Wikipedia, the free encyclopedia
		Central issues concern whether intelligence measures should be considered in policy decisions, the role of policy in influencing or accounting for group differences in measured intelligence, and the success of policies in light of individual and group intelligence differences.
		The importance and sensitivity of the policies at issue have produced an often-emotional ongoing debate spanning scholarly inquiry and the popular media from the national to the local level.
		Coward, W.M. and Sackett, P.R. Linearity of ability-performance relationships: A reconfirmation.
	en.wikipedia.org /wiki/Iq (6146 words)

	Math Tools Browse
		Students manipulate a tangent line to a curve to investigate what it means for a curve to ha...
		Zoom in on a given function, or compare the function with a linear approximation at the origin.
		Investigate the error of various linear approximations to a function.
	mathforum.org /mathtools/cell/c,15.6.3,ALL,ALL (263 words)

	Concurrency Abstracts (Site not responding. Last check: 2007-10-30)
		The motivating role of linear logic is as a ``logic behind logic.'' We propose a sibling role for it as a logic of transformational mathematics via the self-dual category of Chu spaces, a generalization of topological spaces.
		We prove full completeness for a fragment of the linear logic of the self-dual monoidal category of Chu spaces over 2, namely that the proofs between semisimple (conjunctive normal form) formulas of multiplicative linear logic without constants having two occurrences of each variable are in bijection with the dinatural transformations between the corresponding functors.
		We cast Girard's linear logic in the role of a dynamic quantum logic, regarded as an extension of quantum logic with time nonstandardly interpreted over a domain of linear automata and their dual linear schedules.
	boole.stanford.edu /abstracts.html (9716 words)

	[No title] (Site not responding. Last check: 2007-10-30)
		Local Linearity (Zooming In) on a Graph of One Variable
		Let's now see what happens when we zoom in on a point on the surface of a two variable function where both partial derivatives exist and are continuous.
		We conclude that near a point of differentiability, the graph is very closely approximated by its tangent plane at the point.
	www.cbu.edu /~wschrein/media/Calc3WS/loclinear(14.3).mw (361 words)

	Chen, MacLeod and Stockman, 1987
		They hypothesize that the change in tvi curve shapes for gratings/spots as a function of spatial frequency/spot size is not due to a change in receptive fields, but due to a change in a local luminance nonlinearity.
		Brightness difference - "At the visual threshold, small stimuli are of higher intesnity than large stimuli." This simple fact could result in a tvi shape change produced by an "adaptation-dependent non-linearity".
		Changing the background light level changes the exponent of a local luminance response nonlinearity.
	retina.anatomy.upenn.edu /~lance/Psycho/PsychoRet/chen_gain.html (414 words)

	www.outsideweather.com - World Weather Forecasts and News Online (Site not responding. Last check: 2007-10-30)
		When is hurricane season in the florida keys An operations center for the Florida Keys National Marine Sanctuary, laboratories, a planned during the upcoming hurricane season along the Florida coast, in the western Atlantic.
		Local weather for salinas monterey santa cruz Suggestions and resources for planning a visit to Monterey, California, home of the Monterey Bay Aquarium.
		Includes local weather throughout Canada, weather conditions worldwide, satellite photos, and Canadian Marine weather forecasts.
	www.outsideweather.com /content/chapter53.html (15462 words)

	Bioenergetics and Biocommunication
		They conclude therefore, that it is the symmetry property (Onsager's reciprocity relationship) and not the linearity of the flow-force relations in the near equilibrium domain that precludes oscillations; and conversely, a system with oscillations cannot at the same time satisfy the symmetry property.
		The main implication of quantum coherence for living organization is that, in maximizing both local freedom and global intercommunication, the organism is in a very real sense completely free.
		An organic whole is an entangled whole, where part and whole, global and local are so thoroughly implicated as to be indistinguishable, and where each part is as much in control as it is sensitive and responsive.
	www.ratical.com /co-globalize/MaeWanHo/biocom95.html (5014 words)

	Abstract
		This paper modifies the CMAC model by replacing its constant weights by linear functional (LF) weights, aiming not only to improve its efficiency in modeling weakly-nonlinear processes but also to enhance its interpretability and applicability.
		Regularization techniques are developed for the modified CMAC to achieve a good balance between global approximation and local linearisation approximation.
		Experimental results are given and analyzed, which show that the CMAC with LF weights using regularization techniques is able to achieve high performance in both global approximation and local linearisation approximation simultaneously.
	www.enm.bris.ac.uk /ai/ukci2003/abstracts/8.html (134 words)

	AMERICAN MATHEMATICAL MONTHLY -June/July 2001
		The concept of a linear transformation on vector space and, more generally, the concept of a module homomorphism, are basic in mathematics.
		How much local linearity must be imposed on the vector space V to force a homogeneous function to be a linear transformation?
		A measure of this local linearity is the forcing linearity number of V, which belongs to the set
	www.maa.org /pubs/monthly_jun_jul01_toc.html (735 words)

	Wideband LO Noise in Passive Transmit-Receive Mixer ICs - Maxim/Dallas
		The blocking signals reciprocally mix with noise in the local oscillator at the mixer core and increase the noise floor inside the signal band at the IF output.
		This note reviews base-station mixer ICs and noise in mixers, and specifies one single parameter to address both the single-tone desensitization of the receiver when used as a downconverter and out-of-band wideband transmit noise when used as an upconverter.
		Though active-IC Gilbert mixers with gain are available, they do not meet the demanding linearity and noise requirements of base stations [2,3].
	www.maxim-ic.com /appnotes.cfm/appnote_number/3632 (2367 words)

	pub.html
		Eppstein characterized minor-closed families of graphs with bounded local treewidth as precisely minor-closed families that minor-exclude an apex graph, where an apex graphone vertex whose removal leaves a planar graph.
		In particular, Eppstein showed that all apex-minor-free graphs have bounded local treewidth, but his bound is doubly exponential in~$r$, leaving open whether a tighter bound could be obtained.
		We show that graphs in these classes can be decomposed into planar graphs and graphs of small treewidth; we use the decomposition to show that all such graphs have linear local treewidth (all subgraphs of a certain form are graphs of bounded treewidth).
	www.mit.edu /~hajiagha/myjobpub.html (5237 words)

	M-Band Scaling Function With Filter Having Vanishing Moments Two And Minimal Length (ResearchIndex) (Site not responding. Last check: 2007-10-30)
		If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
		In this paper, we consider the Holder continuity, local linearity, linear independence and interpolation problem of the M-band scaling function with its filter having vanishing moments two and minimal length, and explicit construction of wavelets.
		Especially we find some new properties which is not true when M = 2, such as local linearity, local linear dependence, differentiability at adjoint M-adic points and interpolation problem at integer knots.
	citeseer.ist.psu.edu /65565.html (398 words)

	David Bordwell: CV (Site not responding. Last check: 2007-10-30)
		"Linearity, Materialism, and the Study of the Early American Cinema." Written in collaboration with Kristin Thompson.
		Nine interviews with local press, radio, and television at Helsinki International Film Festival (15-20 September 2004).
		Interviewee for local and overseas radio and television broadcasts on film and on my research, 1988-present.
	www.davidbordwell.com /cv.htm (9081 words)

	Copyright
		Her book, entitled Architecture and the Burdens of Linearity, was published by Yale University Press.
		Her current transportation projects are planning and design for the International Arrivals Building at JFK Airport, the preparation of design standards for the Logan Modernization Plan in Boston, and the New Ben Gurion International Airport in Tel Aviv.
		Marilyn Taylor is president of several architectural organizations: the New York City Chapter of the AIA; the Temple Hoyne Buelll Center for American architecture at Columbia University; the regional and Urban Design Committee of the AIA; and the New York City Building Congress.
	www.architect.org /institute/trustees/trustees.html (3615 words)

	Transcripts / PREP 2006
		Local Linearity, either in Quicktime Player or in a new web page using the Quicktime plugin.
		Local Extrema, either in Quicktime Player or in a new web page using the Quicktime plugin.
		Local Maxima, Minima, and Saddle points (Karin and Sang), or in
	euler.slu.edu /GrantWebPages/PREP06Calc3Maple/transcripts.html (1053 words)

	Book Four Changes (Site not responding. Last check: 2007-10-30)
		The new section 2.6 incorporates much of the old section 4.10, so that there is only one, more focused, section on local linearity.
		There is a new subsection on L'Hopital's rule, as an application of local linearity.
		The section on families of curves has been simplified.
	www.wiley.com /college/cch/changes4.htm (304 words)

	SAMFORD UNIVERSITY
		Topics include: Functions of two and three variables, graphs of surfaces, contour plots, vectors, dot products, cross products, partial derivatives, local linearity, differentials, directional derivatives, gradients, chain rule, partial differential equations, constrained and unconstrained optimization, multivariable integration, iterated integrals, numerical integration by the
		Estimate a function by using local linearity and the differential.
		Apply the gradient and directional derivatives to real world problems.
	www.samford.edu /~bwatkins/MATH270.htm (739 words)

	The Underground - Show times, show hosts, and show descriptions.
		There's someone jamming in your back yard...and this is where you can learn who they are!
		Local Linearity, a show dedicated to supporting local Tulsa area and regional bands will let you know who's out there to go see play on a Friday night.
		With all the immense talent out there just waiting to be heard, you need tune in and get an idea of what you're missing.
	www.utulsa.edu /underground/pages/programs.html (1085 words)

	Successive Refinement, Mu-Ency at MROB
		In certain algorithms it can form the basis of optimizations which take advantage of local similarity, local common subexpressions, local linearity, or some similar phenomenon.
		Successive Refinement algorithms vary, but the common principle is to scan the grid at a "coarse" spacing, then again (in one or several passes) at increasingly finer spacings.
		This works quite well for the Mandelbrot Set (at least at the low magnifications that most beginning explorers use — see Optimizations - Domains of Efficacy)
	www.mrob.com /pub/muency/successiverefinement.html (1051 words)

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