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The phrase "a function of its publishing" is correct and usable in written English.
It can be used when discussing how the characteristics or outcomes of something are influenced by the way it is published.
Example: "The success of the book is largely a function of its publishing, including the marketing strategy and distribution channels used."
Alternatives: "a result of its publication" or "dependent on its publishing".
Exact(1)
Rolling Stone's success also could be, in part, a function of its publishing schedule.
Similar(59)
Since the availability of a published URL is a function of time published, it is expected that inaccessibility of URL links will get worse unless measures are provided to alleviate the situation.
A function of where they were published?
The asymptotic limits of the topological indices are determined as a function of N. A conjecture previously published on the asymptotic behavior of the Wiener index is experimentally confirmed.
Once he had his arrangement on paper — and in his fingers, since sweeping is above all a function of motor memory — Mr. Chang decided to publish his work.
To answer this question, we compared the tibial rotation as a function of flexion angle presented in 19 published studies.
The variation of the optical indices as a function of the methane amount has been published in Mahjoub et al. (2012).
The results of the measurements of storage modulus as a function of time correspond well with previously published work on the elasticity of alginate gels [ 51, 52].
This study reviews and summarizes the literature describing ligament injury as a function of stain rate, which has been published during the last 30 years.
Fig. 1 Histogram of the pure InSb NW publications as a function of the years in which they were published.
Auvert et al 2008 [41] estimated effects of AMC on HIV as a function of time and parameters were based on published studies.
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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