A sound combination of entropies at multiple scales will help bring together measurements at disparate scales.
In a way, the legacy of a CEO can be compared (if we avoid the comically disparate scales involved) to an outgoing president's.
Where CCSWN structures arise naturally, they help explain how geomorphic effects are transmitted between disparate scales in the absence of obvious scale linkage.
One of the major drawbacks of the original 1D-EMD is the appearance of mode mixing, which is defined as a single IMF consisting of signals widely disparate scales, or a signal of similar scale residing in different IMF components.
A mesoscopic framework, derived from first principles via a rigorous coarse-graining of an underlying master equation, has proven to be a powerful tool in bridging the disparate scales between atomistic simulations and practical applications involving diffusion of interacting species through microporous films.
Electrochemical kinetic simulations by the patch-adaptive strategy outlined in the previous parts of this series of papers can be computationally expensive in the extreme cases of very thin boundary layers, moving fronts, or models defined over multiple spatial subintervals having disparate scales.
The numerical method employs adaptive mesh refinements (AMR) in concert with an efficient semi-implicit time discretization strategy and a linear, multi-level multigrid to relax high order stability constraints and to capture the flow's disparate scales at optimal cost.
The 'mode mixing' issue is defined as a single IMF either consisting signals of widely disparate scales, or a signal of a similar scale residing in different IMF series.
Differences in scale score are, however, difficult to interpret across disparate scales because of variations in score ranges (eg, a mean difference of 1.0 is larger on a scale that ranges from 0 to 5 relative to a scale that ranges from 1 to 100).
The presentations could hardly have been more disparate in scale, spirit and spectacle, or lack of it.
