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Data from natural phenomena are usually nonstationary due to their transient nature; also, the span of captured data may be shorter than the longest time scale that describes the phenomenon.
In the slow-time acceleration technique, a modified evolution equation is developed in which the longest time scale is much shorter than that of the original system, and which has the same multi-time scale asymptotic structure as the original system.
The numerical simulation of a system exhibiting a broad range of time scales can be very expensive because the time discretization will in general need to resolve the smallest time scale, and the simulation will have to extend over many times the longest time scale.
At the longest time scale (>100 my), PAML analysis using distant Culicid taxa revealed positive selection at one codon in gambicin.
This surface temperature time series has revealed on its longest time scale a rapid warming in the surface waters of Lake Baikal.
The longest time scale over which water temperature varied was the linear, long-term warming trend over the entire 58 year time series reported previously [16].
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Thereafter, the system evolves slowly on a long time scale.
Network traffic routing is established on a relatively long time scale to maintain system stability.
PRBs are a sustainable technology that can operate over a long time scale with low maintenance.
Numerical results are compared against experiments, showing good accuracy over a long time scale.
The predicting results confirm the enhanced creep resistance of nanofillers even at extended long time scale.
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CEO of Professional Science Editing for Scientists @ prosciediting.com