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The phrase "a function on its" is not complete and lacks context, making it difficult to determine its correctness in written English.
It could be used in contexts discussing the role or purpose of a function, but it needs additional information to be fully clear.
Example: "The algorithm defines a function on its parameters to determine the output."
Alternatives: "a role in its" or "a purpose in its".
Exact(4)
In the absence of evidence that the ψErv/Erv unit has a function on its own, it may be unlikely that it existed in primordial genomes until it was independently incorporated into two evolutionarily distinct fusion proteins with different Trx modules.
This month, the London fashion label House of Holland introduced a function on its Twitter and Instagram feeds that allows users to simply reply "Buy".
Mr. McLaughlin said that notices were sent out to major media outlets, community boards, council members and others, and that translations into Spanish and other languages are available through a function on its Web site.
Accordingly, it is reported that although SP can evoke an inflammatory respose in the knee joint, this effect is unlikely to be a function on its own [ 34].
Similar(55)
(a) Energy E of the fullerene C60 molecule as a function of its position on a square sheet of a single-layer graphene of the size 4.1 × 4.1 nm2.
Figure 3: Energy E of the fullerene C60 molecule as a function of its position on (a) zigzag and (b) armchair nanoribbons with rough edges.
In fact, our results explain why a firm's eventual contract choice should be a function of its prior on the probability distribution of the local market demand.
Rather, Lotze maintains that every discrete visual impression is attended by a "special extra sensation" whose phenomenal character varies as a function of its origin on the retina.
The form of a word can vary as a function of its dependencies on other elements in an utterance.
Now researchers have developed a model to estimate future undernutrition attributable to climate change as a function of its impact on crop productivity [ EHP 119(12):1817–1823; Lloyd et al.].
The specific shape of the geotherm beneath any location on Earth is a function of its corresponding local tectonic regime.
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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