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The phrase "approximation of the regional" is correct and usable in written English.
It can be used in contexts where you are discussing estimates or representations related to a specific region or area.
Example: "The approximation of the regional climate patterns indicates a significant change in temperature over the next decade."
Alternatives: "estimate of the regional" or "representation of the regional".
Exact(1)
Commonly used determinant impedances are generally biased downward by the presence of galvanic distortion, while ssq impedances are robust with respect to distortion and are therefore suitable for obtaining a first-order approximation of the regional structure (Rung-Arunwan et al. 2016).
Similar(59)
The magnitude of the ΣM0 can be viewed as a first-order approximation to the regional changes of shear strain in response to earthquakes (Sykes and Jaumé, 1990).
Quantification of match between model and data-derived δ18O values suggests that during the Late Cretaceous, the best approximation of regional paleoelevation in western North America is a large orogen on the scale of the modern Andes Mountains with a mean elevation approaching 4000 m and a north-south extent of at least 15° of latitude.
Regional annual percentage change of the regional PIB.
These include the model linearity, the Dupuit assumption, the simplified representation of the stream aquifer interface, the approximation of the stream as a straight line or a strip, and the impact of regional groundwater flow.
Differences between the estimated and expected total cost is due to regional variation in the complexity factors and the first-order approximation of the estimation equation.
History is always just an approximation of the past.
Of course, this might well be a faithful approximation of the real event it describes.
The most we can hope for is a reasonable approximation of the truth.
The truth is that most interviews in most media are merely an approximation of the encounter.
A creeping tightness slinking across the chest and gut is an approximation of the actual sensation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com