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The phrase 'formula as a function of' is correct and can be used in written English.
You can use it when you want to describe a formula that is dependent on or related to another variable. For example, "We derived the equation for velocity as a function of time using Newton's second law."
Exact(10)
We developed a parameterized precooling energy intensity prediction formula as a function of the ambient temperature and station utilization rate.
Results were used to calculate sticking efficiency, for which an empirical formula as a function of Ca2 + was developed.
Number of spikes in the simulation (blue) and the prediction of the formula as a function of λ.
Ocean wave height Hs is statistically projected by using multi-model ensemble method based on an empirical formula as a function of sea surface winds.
Due to the absence of stabilizing Cu, superconducting transport properties were estimated by Bean formula as a function of a background magnetic field up to 10 T, while hysteresis losses were measured by vibrating sample magnetometer facility.
Number of spikes in the simulation (blue) and the prediction of the formula as a function of λ varying from 0 to ( g I E − I E ) / 2, ω = 4.
Similar(50)
Their data is used to show some numerical results of the derived formulae as a function of the fiber volumetric fraction.
The pressure gradient, total liquid hold-up and mass transfer capacity are correlated by dimensional interpolation formulas, as a function of the mass velocities of the liquid and the gas through the fibre bed.
Figure 5 shows the differences for each subject between the IOL power calculated in the customized eye model and those retrieved by different formulas as a function of the subject's refractive state.
Fig. 7 Intensity ratio (expressed by formula 2) as a function of oil concentration for oil dispersed in water and dissolved in n-hexane.
In order to write an explicit formula for as a function of all intrinsic and extrinsic parameters (optical constants, area and angular field of view of the receiver, etc)., we need to provide a suitable expression for, that is, ultimately, for the source and the receiver.
More suggestions(14)
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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