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"empirically understood" is a correct and usable phrase in written English.
It is used to describe something that has been understood or learned through direct observation or experience, as opposed to theories or hypothetical situations. For example, "The efficacy of the treatment was empirically understood after it had been administered to hundreds of patients."
Exact(4)
As a result, the behavior of the liquid bridge and its effect on the heat switching were empirically understood.
Deep learning methods have the potential to improve prediction of materials deterioration, especially where the interaction of variables is not empirically understood, and there is significant uncertainty of variables to the extent that many variables may remain unknown.
By following the elaborate but empirically understood trade-off between length and stiffness referred to above, the bowyer could produce a short bow capable of propelling light arrows to long ranges, a long, heavy bow designed to maximize penetrative power at relatively short ranges, or any desired compromise between.
This important discovery is presently empirically understood, suggesting the need for theoretical research both to understand the basic process and to aid in optimizing the materials for future device application.
Similar(56)
These efforts are necessary steps to empirically understand the impediments to implementing science policy and to combine these with needed ethical reflection.
16 17 To date, we have yet to empirically understand what the benefits are of using collaboratives over single organisation- or department-level QI efforts, which might be less expensive, more relevant and less time-consuming methods of knowledge transfer.
This property also allows us to empirically understand the nature of the effect in the additive, multiplicative or other scale, rather than having to begin with an assumption of multiplicative interaction, as when using logistic regression.
While selected aspects of FAIMS performance are understood empirically, no physical model rationalizing the resolving power and sensitivity of the method and revealing their dependence on instrumental variables has existed.
The English idealist F.H. Bradley used classical skeptical arguments in his Appearance and Reality: A Metaphysical Essay (1893) to argue that the world cannot be understood empirically or materialistically; true knowledge can be reached only by transcending the world of appearance.
However, process measures are less developed, largely because few clinical situations are understood empirically well enough to know a priori how theoretically-driven behaviors are organized to promote desired outcomes [ 36, 39].
The reality, which is often discussed within countries, and is now understood empirically, was that knowing researchers socially and outside professional relations made policy-makers more receptive to their research.
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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