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Because log (det(C)) is a reasonable approximation of log (det (H)) [ 31], we can approximate APHL as given in Equation (4) in the main text: (14) APHL = − 2 logL − ∑ w s v i σ ^ ∈ sv 2 − 1 − ∑ ln σ ^ ∈ sv 2 / w s v i Thus, the REML likelihood for the bivariate model is corrected for the fact that the squared residuals are used as "observations" in the bivariate model.
The moments in the moment equations are approximated over a simplified domain (Ω0) that is a reasonable approximation of the original domain that are then corrected for the deviation of the shape of Ω0 from Ω via shape correction factors.
The most we can hope for is a reasonable approximation of the truth.
The formula obtained is a reasonable approximation of the experimental adsorption data.
Diaconis in 1988 found evidence showing that this mathematical description is a reasonable approximation of the actual behavior of human shufflers.
Assuming that the 1D Riemann problem along the normal to the interface is a reasonable approximation of the 2D Riemann problem for Euler equations, we extend efficiently the algorithm for two-dimensional interface problems.
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We consider that an error in the order of ± 100 bar is a reasonable approximation on the position of the isochores for type 1 and type 2 fluid inclusions.
Though this is a reasonable approximation for periods of a few months, it is unrealistic for 10 years.
This is a reasonable approximation for effects of water flooding which has been inherently used for further parametric studies.
While the lognormal distribution is a reasonable approximation to the distribution of cumulative HTML views at a certain instant, we ask whether this case is true for any time point.
Application of the theorem requires that the plates not be internally deformed a requirement not absolutely adhered to but one that appears to be a reasonable approximation of what actually happens.
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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