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The phrase "a best approximation to" is correct and usable in written English.
It can be used when discussing a method or result that is intended to be the closest representation or estimate of something.
Example: "The model provides a best approximation to the actual data, allowing for more accurate predictions."
Alternatives: "the closest estimate to" or "the most accurate representation of".
Exact(8)
An algorithm to find a best approximation to ƒ from U can be constructed by cyclically searching the one-dimensional spaces spanned by each ui.
Proceeding in the same manner as for the Bark-scale case, allpass coefficients giving a best approximation to the ERB-scale warping were computed for sampling rates near twice the Bark band edge frequencies (chosen to facilitate comparison between the ERB and Bark cases).
Consequently, g ( s ) is a best approximation to f ( s ) in Y for almost every s ∈ A by Corollary 1.
An element (y_{0} in A) is said to be a best approximation to x if d x,y_{0})=D x,A).
A point (yin M) is said to be a best approximation to (pin X), if (d y,p preceq d z,p)) for all (zin M).
Suppose f ∈ L φ ( A, X ) and g is a strongly μ-measurable function such that g ( s ) is a best approximation to f ( s ) from Y for almost everywhere s ∈ A. Then g is a best approximation to f from L φ ( A, Y ).
Similar(52)
If there exists an element y0 in Y comparable with x such that d x, y0) = d x, Y ), then y0 is called an ordered best approximation to X out of Y.
He then used an artificial neural network the best approximation to a real nervous system that science has come up with to work out which bits of the cleaned-up signal predicted when a rat would go on to move the lever.
The set of all best approximations to p is denoted by B M ( p ).
A 1.5 LOD drop interval is considered the best approximation to a 95% confidence interval in QTL mapping (Dupuis and Siegmund 1999).
The support intervals for the map locations of QTL were calculated using a 1.5 LOD drop interval which is considered the best approximation to a 95% support interval in QTL mapping.
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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