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The phrase "a sole function of" is correct and usable in written English.
It can be used to indicate that something serves only one specific purpose or role.
Example: "The committee's role is a sole function of ensuring compliance with regulations."
Alternatives: "an exclusive function of" or "a singular purpose of".
Exact(6)
With this model, impedance was a sole function of the representative penetrability αμ when the standard deviation σ is constant.
It was found that the UPW consumption rate is a sole function of the velocity of water level changes in the water storage tank that could be described by the following equation: ν 1-Kv.
For the first time, this work investigated, whether these specifications could be reproducibly obtained as a sole function of the thermal history of the biomass feedstock during slow pyrolysis, irrespective of the type and scale of the production unit.
Fill characteristic is a single composite nondimensional parameter, involving dimensions of the cell half, configuration of the packing and water flow rate through it; representing overall potential of the fill to cool water and is a sole function of mass flow ratio of water to air for a given system.
It is a commonly held belief that more money will fix our problems at the individual level, but financial wellness is not a sole function of your income level or overall net worth.
On the other hand, Dennis et al. [ 17] claimed that, in vivo, the molecular weight would not be a sole function of PHA synthase activity but of the relation between PHA synthase activity and substrate availability.
Similar(54)
I would not be against the drafting of a Charter, the sole function of which was to be a political statement with a high moral content intended by the Union to reaffirm the significance and unchanging, eternal nature of fundamental rights, if this should ever prove necessary.
As a practical matter then, conventions perform the sole function of providing a "run-off", and a candidate who may have won a plurality of primary votes, but is opposed by two-thirds of the elected delegates, is not likely to fare well in such a runoff.
Google Netherlands Holdings BV, you guessed it, is a subsidiary that has the sole function of transferring money from Ireland to Bermuda.
The sole function of a currency board is to exchange the domestic currency it issues for an anchor currency at a fixed rate.
The sole function of a grand jury is very limited and minimal.
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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