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The phrase "a better approximation to" is correct and usable in written English.
You can use it when discussing the accuracy or closeness of a value or model in relation to another value or model.
Example: "The new formula provides a better approximation to the actual results than the previous one."
Alternatives: "a more accurate representation of" or "a closer estimate of".
Exact(37)
The improvement is achieved by a better approximation to the limit state surface.
The intersection of the n hiperplanes gives a better approximation to the solution.
The red curve represents the assembled strong learner model; which could be seen as a better approximation to the data.
The exponential fit has a slightly lower root mean square error value, proving a better approximation to the pickup nonlinearity.
When compared to the other models, this specification reaches the highest level of the likelihood function, which would indicate a better approximation to the data-generating process.
Moreover, by properly deriving the number of hops from each node to its destination, our model gives a better approximation to the energy consumption than the previous models.
Similar(23)
For example, to give an better approximation to the energy consumption, in CRS [8] and OCND [9], energy models which consider data-receiving energy are extended.
In vitro experiments that studied clusters of β cells also indicated that the hexagonal lattice is a much better approximation to the cluster structure [38], [39].
For large populations, our method is found to provide a much better approximation to the mutant-frequency distribution when selection is strong, while all three methods perform comparably when selection is weak.
Second, tests show that relative to a flat soffit, this curved soffit on a cork mat enables far better approximation to the reference CPD.
A few recent papers have considered summary statistic selection from the viewpoint of aiming for better inference or better approximation to the full posterior probability [ 18– 218.
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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