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Since 2014, some reduced-order FE extrapolating methods based on the POD method for partial differential equations have been established successively by Luo's team (see, e.g., [24 26]) in order to avert the valueless repeated computations.
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They were used in solving a specific problem: Radical changes of the electricity Tariff System, introduced in Serbia in 2001, led to considerable and lasting annual peak load reductions, making the usual, extrapolating forecasting methods dysfunctional.
After identifying factors affecting allelic ratio estimates by RNA-Seq, we extrapolated our methods with varying stringency to a new set of whole-transcriptome RNA-Seq samples from the dorsolateral prefrontal cortex (DLPFC) of 14 different individuals, identifying tens to hundreds of genes displaying AEI in more than one individual, indicative of frequent cis-acting regulatory variants.
The first method used pennation angle and muscle thickness to extrapolate fascicle length outside the image (extrapolate method).
We expect that we can extrapolate our method to high spatial and temporal resolution in deep tissue while retaining the noninvasive character.
Randall extrapolated this method to estimate C. megalodon's total length.
Andreessen's telepathic method — extrapolating the future from current trends — may be the best available, but it has had doubtful results.
Extrapolating the mixed method to these countries would also be interesting.
The ACER method, which is essentially a method of extrapolating the process crossing rate, is also found to be able to well represent the tail behavior of the extreme value distribution.
This work is complicated, involving lots of statistical methods in extrapolating from scattered sites to a global picture, which means that there's abundant uncertainty — and that there will be abundant interpretations.
Various methods of extrapolating the gravity anomalies into these regions on the assumption of isostatic equilibrium were attempted, but the modern approach, which is to combine data from satellites and from ground observers, makes use of the expansion of the potential in spherical harmonic rather than Stokes's integral.
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