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What this figure actually describes is a range of approximation.
Mr. Rosenthal's description of sampling error as a "range of approximation" is better than what we generally hear, but not quite on the mark.
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Using a range of approximations it is possible to achieve effective linear scaling of the computational requirements of calculations with molecule size.
The results showed that the absorber average temperature could be correlated to the intensity as: (Tw = 3.51I0.461) with an accepted range of approximation error.
Transient simulations show that steady-state conditions are a reasonable approximation for a range of transient seawater intrusion situations, including two of the three cases considered in this analysis.
This "exact" pressure wave equation is solved semi-analytically by means of the Frobenius method and compared with the conventional approximative wave equation known as the local-plane-wave (LPW) approximation for a range of flow values.
The closeness of the approximation depends on the value of <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0016749.e145.PNG" class= inline-graphic"/>, but the shifted exponential provides a good approximation over a range of values of this parameter [1].
With an analysis of a two-state promoter model, and numerical simulations for a variety of other models, we find that the stochastic QSSA is accurate whenever its deterministic counterpart provides an accurate approximation over a range of initial conditions which cover the likely fluctuations from the quasi steady-state (QSS).
Despite their limitations, current voxel-based and particle methods can often both be shown to be good approximations for a range of biological conditions and a lot of useful information about many systems can be extracted from their simulation.
"It's impossible to build a theory of nonlinear systems, because arbitrary things can satisfy that definition". Because linear equations are so much easier to solve than nonlinear ones, much research across a range of disciplines is devoted to finding linear approximations of nonlinear phenomena.
Moreover, application of the method is flexible in the sense that the method does not require the exact parameter values but gives approximations valid for a range of parameter values.
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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