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The phrase "a function of its virtuosity" is correct and usable in written English.
It can be used when discussing the relationship between the quality of performance or skill (virtuosity) and the outcome or effectiveness of something.
Example: "The success of the performance was largely a function of its virtuosity, showcasing the musicians' exceptional talent."
Alternatives: "a result of its skill" or "dependent on its excellence".
Exact(1)
Ms. Choi's writing can be difficult until we realize the difficulty is a function of its virtuosity.
Similar(59)
Comcast stresses its donations are a function of its business.
"Big Train" was a curious failure, curious because of its virtuosity.
The bite of her best love poetry comes from its heartlessness and the swagger of its virtuosity.
The Times wrote of its "virtuosity" and of Boult's "superb" conducting.
Interspersed with three late Liszt pieces and some early Brahms, there were two more premieres in Hodges's programme: the first British performances of pieces written for him by James Clarke and Hans Thomalla, both of which examine, in very different ways, the function of virtuosity in contemporary piano music.
The real fear in this virtuosic work is of its own virtuosity.
It takes a large measure of self-confidence for a performing group to assert its virtuosity in its name.
Balletomanes may miss its virtuosity, but it has always interrupted an otherwise suspenseful drama.
When shown together, it was widely praised for its virtuosity and breadth of accomplishment.
Ysaÿe's playing was known for its virtuosity, expressiveness, and intensive use of vibrato.
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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