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Discover Ludwig"determined empirically" is a correct and usable phrase in written English.
It means that something has been figured out or measured based on observation and experimentation rather than theory or speculation. Example: The effectiveness of this new treatment was determined empirically through a series of clinical trials. In this sentence, "determined empirically" means that the effectiveness of the treatment was measured and proven through scientific experiments and observations rather than just being assumed or guessed.
Exact(59)
The exact RNA species that undergoes RAN translation in C9ALS/FTD has not been determined empirically.
We determined empirically or fitted the rate constant for all reactions.
The solubilities of the anhydrides could not be determined empirically due to their short half-life.
Its interaction functions and equivalent packing size are determined empirically.
The coefficient of eddy conductivity is determined empirically and varies substantially from lake to lake.
This number was determined empirically.
Here, K is determined empirically.
The boundary condition T(r top) is determined empirically.
The read/compute core ratio is determined empirically.
where is a constant (which can be determined empirically).
The parameters shown in Table 4 were determined empirically.
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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