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The phrase "a function of the degree of" is correct and usable in written English.
It is typically used in contexts where one variable or outcome is dependent on the extent or level of another variable.
Example: "The effectiveness of the treatment is a function of the degree of the patient's condition."
Alternatives: "dependent on the level of" or "determined by the extent of".
Exact(59)
spectroscopy as a function of the degree of neutralization α.
The properties of residual soils are a function of the degree of weathering.
The activation energy for diffusion is expressed as a function of the degree of order.
In the ferroelectric phase γ is a function of the degree of poling.
Moreover, behavioral responses toward the person change as a function of the degree of the perceived sexual objectification.
For flexible end rotational restraints, linear interpolation may be adopted as a function of the degree of end rotational restraint.
As a cemented material, CPB strength is time and temperature dependent, and a function of the degree of hydration.
The rate of surface evolution is a function of the degree of protective film damage, caused by the surface straining.
Mechanical and chemical properties of these films are studied as a function of the degree of end-capping.
An empirical expression to predict the kinetic rate as a function of the degree of conversion, temperature, steam concentration, and hydrogen concentration was developed.
We use degradable poly(beta-amino esters) (PBAEs) to explore intrinsic immunogenicity as a function of the degree of polymer degradation and polymer form (e.g., soluble, particles).
More suggestions(16)
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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