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Adequate approximations will do.
Linear diffusivities, adopted in several earlier studies, generally did not provide adequate approximations of hillslope evolution.
Numerical solutions of integral equations describing controlled-potential transient experiments at cylindrical wire or fiber electrodes were rarely attempted in the past, seemingly due to the lack of adequate approximations to the kernel functions arising in such cases.
In the absence of adequate approximations for blazed gratings, we simulate silicon solar cells electromagnetically and electrically in order to deal with the geometrical complexity produced by the blazed grating with a BSF on top of it.
SB is most efficient and effective if the following assumptions are satisfied: (i) second-order polynomials are adequate approximations of the input/output functions implied by the simulation model; (ii) the signs of all first-order effects are known; and (iii) if two inputs have no important first-order effects, then they have no important second-order effects either (heredity property).
A numerical 3D finite difference code is employed to identify adequate approximations of the distribution of normal stresses along the failure surface, with results showing that linear stress distributions along the failure surface are needed to obtain improved results in the case of weaker rock masses.
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Good adequacy can ensure that the approximating model provides an adequate approximation to the real system; otherwise, it may give poor or misleading results (Korbahti and Rauf 2008).
Slatkin (2008) used a linear birth-and-death process to approximate the genealogical trees of haplotypes carrying selected mutants, which is an adequate approximation for mutants in low frequency, but may not be suitable for common mutants.
The assumption of irreversible polymer formation is found to be a useful and adequate approximation for the numerical determination of monomer disappearance.
The goal is to achieve an adequate approximation of process outputs corresponding to the normal behaviour of the plant.
The analysis of such behaviour refers to an adequate approximation of human mastication of airy and spongy products.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com