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Further the method of multiple scales is used to obtain the equations at a slow scale.
Within each pair of equations, onedependent variable evolves on a fast time scale and one on a slow scale.
The basic idea is to separate time into two scales, a slow scale for tribological phenomena and a fast scale for dynamics.
Xu (Xu et al. 2009) employed the generalized variational principles to decompose a boundary value problem with random microstructure into a slow scale deterministic problem and a fast scale stochastic one using a Green's function based multiscale method.
In this study, by employing the generalized variational principles, a Green-function-based multiscale method is formulated to decompose a boundary value problem with random microstructure into a slow scale deterministic problem and a fast scale stochastic one.
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In a solo break he'll play his thick, rounded notes in a slow, scale-based procession; what he's doing will seem ingenuous, almost naïve, until at a certain point its beauty clicks in.
Universal president Sid Sheinberg reasoned that nationwide marketing costs would be amortized at a more favorable rate per print relative to a slow, scaled release.
Also other countries in Europe with a high number of investments are showing a positive trend, although at a slower scale.
This classification requires identifying the separate time scales of the bursting activity: a fast time scale supporting rapid spike generation, and a slow time scale determining the duration of the active and inactive burst phases.
The ancestral process for seed banks also includes both a fast time-scale "configuration process" and coalescence events in a slow time scale.
A particularly interesting question in this context is how the behavior on a slow time scale emerges mechanistically from the dynamics on fast time scales.
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