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The phrase "approximated for" is not correct in standard written English.
It is unclear and does not convey a clear meaning without additional context.
Example: "The values were approximated for the calculations, but the results were still inaccurate."
Alternatives: "estimated for" or "calculated for".
Exact(57)
For different capacitated network designs, an estimate on 2TRd can only be approximated for specific scenarios.
The major emissions varied by nitrogen compounds and particulate matters are approximated for hot emissions.
The vocal cord is approximated for voice production and open for breathing.
The three dimensional size of the γ′ particles has been approximated for use in simulation.
Off-road bike/ped paths were approximated for both existing and proposed (future) trails using this same imagery and street base.
Model uncertainties are identified using artificial neural networks, and an uncertainty weighting function is approximated for LPV control synthesis.
The time course of corticosteroid pharmacokinetics could be approximated for each study by consideration of the specific experimental paradigm.
The flat on flat contact normal traction distributions are approximated for fretting fatigue by a simple expression.
Similar(3)
We used a standard setting that approximates (for computational efficiency) the gamma parameter value by fitting four discrete rate categories.
It might be possible that results with lasers and Poisson statistics require corrections when approximating for thermal sources of light.
Changes in shareholders' equity are an approximate gauge for changes in fair value.
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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