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The phrase "a function of the quality of" is correct and usable in written English.
It can be used to indicate that something is determined or influenced by the quality of another factor.
Example: "The success of the project is a function of the quality of the materials used."
Alternatives: "dependent on the quality of" or "determined by the quality of".
Exact(18)
And the admissions rates, he said, are not so much a function of the quality of schooling.
To the Viennese reformers of the time, the quality of civic life was a function of the quality of the built environment, and Gruen thought that principle applied just as clearly to the American suburbs.
Rather, it's a function of the quality of the U.S. workforce — its noteworthy productivity and its easy familiarity with lean-factory principles — as well as the need for companies to react quickly to changes in domestic consumer demand.
That's not necessarily a function of the quality of "No Quarter," which strikes me as the least satisfying of the three plays that Ms. Stenham, still only 26, has opened at this address over the past six years.
Part of that is a function of the quality of the photos.
This is again a function of the quality of the system's oscillators.
Similar(42)
Bootstrap values increase as a function of A regardless of the quality of the phylogeny.
Instead, loneliness is also a function of our perception of the quality of our relationships and support networks.
The quality score is based on a function of the application's clickthrough rate and viral growth within the network.
And this quality is entirely a function of the software engineering work and artistic oversight that goes into them.
Here's the skinny: A suit achieves its ideal of form and function through the quality of the fit.
More suggestions(15)
a function of the proportion of
a sample of the quality of
a function of the imperative of
a part of the quality of
a reflection of the quality of
a function of the curse of
a function of the technology of
a function of the problem of
a function of the distribution of
a function of the diameter of
a player of the quality of
a function of the structure of
a mixture of the quality of
a function of the supply of
a mark of the quality of
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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