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The light tails of the normal distribution allow one to accept the unbounded support as a reasonable approximate description of bounded physical quantities.
We show that the Ponter, Hearle and Johnson solution is a reasonable approximate solution for a circular contact area but is less accurate for an elliptic contact area.
Instead, we develop dynamic reduction techniques to identify and only access promising "areas" that lead to reasonable approximate answers.
Our experience suggests that an absolute value greater than 0.05 for the correlation residual is a reasonable approximate guideline for identifying conditional pairwise field dependence.
As the incidence of HIV in included studies was low (<10/100 person years), effect estimates that were reported as odds ratios were extracted directly as it was assumed that the odds ratio was a reasonable approximate of the relative risk.
The observed better performance of RGC_CAs compared to conventional distances, in terms of linear dependence on divergence time (Additional file 2), even for short phylogenetic distances (some internal branch lengths are effectively 0, see Additional file 2) suggests that the RGC_CAs represent a reasonable approximate molecular clock and have potential for molecular dating.
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ORs from incident case-control studies with density sampling of controls are unbiased estimates of IRR, whereas ORs from cohort studies and prevalent case-control studies are reasonable approximates for IRRs when the prevalence of adult asthma is < 10%, which is true in most parts of the world.
If shorter parallel run durations are required, the rapid early translation of the set may yield a reasonable approximation of the Pareto approximate set where further search is unnecessary.
Experiments show that these power law approximate functions are, in general, reasonable approximations for the value function.
Therefore, it is reasonable to approximate the SE with the lower bounds.
When M is large, it is reasonable to approximate s t as a zero-mean complex white Gaussian vector.
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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