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The phrase "a sole function of the" is correct and usable in written English.
It can be used to specify that something serves only one particular purpose or role.
Example: "The sole function of the committee is to oversee the budget for the upcoming year."
Alternatives: "the only purpose of the" or "a singular role of the".
Exact(3)
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.
Similar(57)
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.
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.
The shear strength of web reinforcement in the deep beams is derived from the shear friction concept, where the sole function of the shear reinforcement is to develop compression force across a slip plane, thereby providing a clamping action (ACI 318 1999).
The sole function of the Alfalfa Club is to put on the annual dinner.
The sole function of the authority, which would basically exist only on paper, would be to issue the bonds.
Co. v. Union Planters Bank, N. A., 530 U. S. 1, 6 (2000) ("[W]hen the statute's language is plain, the sole function of the courts—at least where the disposition required by the text is not absurd is to enforce it according to its terms". (internal quotation marks omitted)).
Dealing with the question of the constitutional status of the electors, the Court said in 1890: "The sole function of the presidential electors is to cast, certify and transmit the vote of the State for President and Vice President of the nation.
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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