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"empirical solution" is a correct and usable phrase in written English
It can be used to describe a solution that is based on observation and practical experience rather than theoretical knowledge. Example: The scientist used an empirical solution to solve the complex math problem, relying on data and experimentation rather than mathematical equations.
Exact(17)
An empirical solution for this issue is suggested in [15].
The accuracy of this model is further verified by close correlations with an existing empirical solution.
The subsequently reported information constitutes the provided empirical solution to the problem of one-step ahead forecasting in geoscience.
But recent advances in the realization of a large scale quantum computer may eventually prove quantum information theorists wrong: Rather than supporting the dismissal of the quantum measurement problem, these advances may surprisingly lead to its empirical solution.
However, there is no well established empirical solution of the dynamic response of the problem due to the base shear of the steel frames.
An empirical solution of the addressed problem was provided in [19], based on an interpretation of the external predictor as an empirical distribution constructed from fictitious data.
Similar(42)
In the absence of empirical solutions, the government will probably straddle this vast divide as it has so many others that arise between the two cultures.
Crimes are specified, and criminals are discovered, but empirical solutions are not enough to dispel the feeling that an uncontained atmospheric menace broods over this wintry landscape.
In the present work the run-up heights are computed and compared with empirical solutions and experimental data.
Therefore, studies aiming at predicting the ultimate resistance of column webs to concentrated forces tend towards empirical solutions.
The modeling methods of surface roughness are firstly classified into theoretical and empirical solutions according to their modeling processes.
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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