Sentences with phrase «such nonlinear»

Of course, even if we had a perfect model, that model would have to be discretized to solve, and the error in integrating such a nonlinear system forward in time would be extremely challenging, most likely impossible.

Such nonlinear behavior depends upon amplifying feedbacks, which, indeed, our climate simulations reveal in the Southern Ocean.

Examples of such nonlinear behaviour include rapid circulation changes in the North Atlantic and feedbacks associated with terrestrial ecosystem changes.

The odds of this 1/4 % move creating such a nonlinear change is small, but not zero.

No one fractures time like Nicolas Roeg, who has given us such nonlinear marvels as Walkabout, Don't Look Now, and The Man Who Fell to Earth.

Linear models do not account for such nonlinear relationships.

The odds of this 1/4 % move creating such a nonlinear change is small, but not zero.

Not exact matches

l) The main subdivisions of the class «societies of occasions» consist of the linear or «personally ordered» societies, the familiar example being a stream of consciousness» of a single person, and nonlinear societies, such as a tree considered as a colony of cells.

To investigate the nonlinear response of such plasmonic oligomers, the authors used a novel optical microscopy technique, which is equipped with polarization - structured beams.

Nonlinear optical processes provide the basis for important functionalities in photonics, such as frequency conversion of light, generation of ultrashort light pulses, as well as optical processing and manipulation.

For example, the classical equations used to predict the performance of such materials have indicated that the logarithm of the reaction rate should vary linearly as voltage is increased — but experiments have shown a nonlinear response, with the uptake of lithium flattening out at high voltage.

«The removal of phase matching in nonlinear optical metamaterials may lead to applications such as efficient multidirectional light emissions for novel light sources and the generation of entangled photons for quantum networking.»

«Our structure is also one of the smallest ever designed to show such record nonlinear properties, and it may be built using standard nanofabrication technology.

«We're now using these experimental and theoretical techniques to explore other nonlinear processes in metamaterials, such as parametric amplification and entangled photon generation.»

«Nonlinear stage - scanning confocal microscopy is critical because it allows us to rapidly measure the nonlinear emission from thousands of different nanostructures while minimizing the potential systematic errors, such as intensity or beam pointing variations, often associated with tuning the wavelength of an ultrafast laser,» O'BrNonlinear stage - scanning confocal microscopy is critical because it allows us to rapidly measure the nonlinear emission from thousands of different nanostructures while minimizing the potential systematic errors, such as intensity or beam pointing variations, often associated with tuning the wavelength of an ultrafast laser,» O'Brnonlinear emission from thousands of different nanostructures while minimizing the potential systematic errors, such as intensity or beam pointing variations, often associated with tuning the wavelength of an ultrafast laser,» O'Brien says.

The program encompasses a wide range of theoretical perspectives, such as symbolic computation, connectionism, ecological, nonlinear dynamics, and complex systems, and a variety of methodologies including both experimental studies and modeling.

Nonlinear optics is a key enabling technology of our modern society, such as in imaging and high - speed data communication.

Such topics include time - resolved, coherent and non-linear Raman spectroscopies, nanostructure - based surface - enhanced and tip - enhanced Raman spectroscopies of molecules, resonance Raman to investigate the structure - function relationships and dynamics of biological molecules, linear and nonlinear Raman imaging and microscopy, biomedical applications of Raman, theoretical formalism and advances in quantum computational methodology of all forms of Raman scattering, Raman spectroscopy in archaeology and art, advances in remote Raman sensing and industrial applications, and Raman optical activity of all classes of chiral molecules.

Nonlinear movements, such as side - stepping footwork using an Agility Ladder, or running a slalom course around Agility Cones, engage a greater wide range of muscles than if you decide to simply run in a straight line.

Season one posed such a clear question with its nonlinear structure: How and why...

Capitalism is a complex, dynamic, adaptive and nonlinear system because it has elements or agents that interact in large numbers together forming one or more structures that arise from interactions between such agents.

It's an interesting attempt to tie RPG levelling together with nonlinear narrative conventions, but we're desperate to play it for ourselves now, especially after such a lengthy development cycle — not to mention a release date on the near horizon.

We must accustom ourselves to working with the multiple nonlinear threads of a campaign such as Cooper's.

It determines the rate of change of the wave spectrum by adiabatic processes such as advection and refraction of wave energy, and by physical mechanism such as wind - wave generation, nonlinear four - wave interactions, and dissipation of energy by processes such as wave breaking, micro-scale breaking and bottom dissipation.

http://wattsupwiththat.files.wordpress.com/2013/05/black-box-analysis-averaged-climate-models1.jpg?w=640 As you correctly and in agreement with Willis continue, such linear behaviour is not what you would expect from «inherently nonlinear nature of the response to feedbacks».

Such chaotic behaviour may limit the predictability of nonlinear dynamical systems.»

«A dynamical system such as the climate system, governed by nonlinear deterministic equations (see Nonlinearity), may exhibit erratic or chaotic behaviour in the sense that very small changes in the initial state of the system in time lead to large and apparently unpredictable changes in its temporal evolution.

Such low - frequency variability is governed to a large extent by nonlinear dynamics and, hence, is chaotic.

They provide exact necessary and sufficient conditions for these characteristics for all linear systems and some nonlinear systems... Now I am merely trying to acquaint climate change scientists, physicists, lawyers and politicians promoting such things as Kyoto Protocols that chemical process control system engineering has a useful voice, weak as it is, in climate control engineering....

The above formula has been commonly used for a nonlinear observation function h -LCB- \ displaystyle h -RCB-, such as the position of a hurricane vortex.

Given that the number of interacting nonlinear deterministic components is some large fraction of n, such «simple» indices are actually highly simplistic, simplifying to the point of major distortion.

Given that the «size» of effects from various interacting nonlinear deterministic components can vary over many orders of magnitude, and their effect on the behavior of other components can also vary to such an extent, any assumption that «smaller» effects can be «smoothed» away to expose underlying mechanisms is certainly unwarranted, and probably totally wrong.

In a system such as the climate, we can never include enough variables to describe the actual system on all relevant length scales (e.g. the butterfly effect — MICROSCOPIC perturbations grow exponentially in time to drive the system to completely different states over macroscopic time) so the best that we can often do is model it as a complex nonlinear set of ordinary differential equations with stochastic noise terms — a generalized Langevin equation or generalized Master equation, as it were — and average behaviors over what one hopes is a spanning set of butterfly - wing perturbations to assess whether or not the resulting system trajectories fill the available phase space uniformly or perhaps are restricted or constrained in some way.

There has to exist some exotic and nonlinear macroscopic constraint such that it is physically prohibited to do work off of the thermal difference.

One might (or might not) argue for such a relation if the models were empirically adequate, but given nonlinear models with large systematic errors under current conditions, no connection has been even remotely established for relating the distribution of model states under altered conditions to decision - relevant probability distributions... There may well exist thresholds, or tipping points (Kemp 2005), which lie within this range of uncertainty.

I would like to second the suggestion above that you submit this to a journal such as Annals of Applied Statistics (my favorite), Journal of the American Statistical Association, or any journal where it seems likely that the reviewers would be familiar with estimation of derivatives and nonlinear least squares.

Specifically, we used a variety of linear and nonlinear methods such as artificial neural networks (ANN), decision trees and ensembles, multiple linear regression, and k - nearest neighbors to generate present and future daily precipitation occurrences and amounts.

Following on from the ENSO being a nonlinear oscillator, such nonliear systems typically evolve in a manner dictated by attractors.

In those studies, sea ice exhibits nonlinear behavior such that when it is reduced below a certain threshold (the «Small Ice Cap Instability» threshold), the model sea ice abruptly reverts to year - round ice - free conditions.

The complexity of the system is expressed by several parameters of nonlinear dynamics, such as embedding dimension or false nearest neighbors, and the method of delay coordinates is applied to the time series.

Other nonlinear factors may be present as well, and sudden events such as volcano eruptions can always disrupt the dynamical pattern for a while.

As to offering up alternative «governing equations», check out the work by Ghil offered by Generalissimo Skippy and the book «Nonlinear Climate Dynamics» by Henk A. Dijkstra, offered up by me following a related recommendation by «Chief Hyrologist» for some hints at (a) work in progress to develop such governing equations and (b) how far the laborers in the field are from having one and getting it tested.

(One would expect to see a huge accelleration in that nonlinear characteristic around zero C.) Such a system is properly called time - varying.

You'll find that you're confusing feedback with nonlinear response characteristic, such as a snowball growing as it rolls downslope — until it runs out of slope.

His expertise is in data analysis, specifically focusing on nonlinear situations such as weather forecasting.

Maybe climate is so abstract and nonlinear, spread over such huge geographical and temporal distances, that the intellectual and emotional work required to fully apprehend it is simply out of reach for most ordinary people, living lives in the present, surrounded by people and problems that affect them directly.

phil said: «It is beyond any doubt that a large dissipative open system with obvious chaotic dynamics such as the climate, is subject to internally driven nonlinear oscillations over a wide range of time scales.»

Such observations are essential in identifying potential linear (obvious) as well as nonlinear (subtle) mechanisms underlying the development of species - typical behavior.

Manusov and Milstein (2005) refer to the ability to evoke change as the «transformational quality» of nonverbal cues, and such a conceptualization is consistent with Andersen's (2008) claim that nonverbal cues in relationships can be «capricious and nonlinear» (p. 207) as they play out in the complexities of real life.