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The phrase "a valid approximation when" is correct and usable in written English.
It can be used in contexts where you are discussing conditions under which a certain approximation holds true or is applicable.
Example: "The formula provides a valid approximation when the variables are within a specific range."
Alternatives: "an acceptable estimate when" or "a reasonable approximation when".
Exact(2)
The Hillson and Rideal expression is shown to be a valid approximation when illumination of the electrode only slightly perturbs the electrodic charge-transfer reactions.
This is a valid approximation when the dimerization reaction is fast compared to all other reactions [ 8].
Similar(58)
Because the heat effects associated with adsorption are comparatively large, the assumption of isothermal behavior is a valid approximation only when uptake rates are relatively slow.
Because the heat effects associated with adsorption are comparatively large, the assumption of isothermal behaviour is a valid approximation only when uptake rates are relatively slow.
Although not treated explicitly here, note that inclusion of a front wall in say Figure 1b yields a through-wall radar scenario [12, 15] in which case the analysis here provides a valid approximation, for example when D y ≫D 1,D 2. We now proceed to derive expressions for lower bounds on the target localization error co-variance in classical and Bayesian settings.
These differences are sufficiently weak to imply that simplified BRBs constitute a valid approximation of CRBs or BCRBs when relocations are acquired frequently on a regular time basis (so as to minimize inter-bridge variations in time T).
This is known to be a valid approximation in mean field neural network analysis, but may fail when precise timing and details of the dynamical aspects of the neuron affect the inhibition [57], [58].
Thus, Newton's theory is not incorrect; rather, it constitutes a valid approximation to general relativity under certain conditions.
The persistent obstacle in such processes is to find a valid approximation for soil representation.
Since r2 ≪ 1 in typical applications and U ¯ n ( z ) is a smooth function, this is a valid approximation.
Typically, one assumes that the mixing is linear and instantaneous, which is a valid approximation in brain signals[6 ]
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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