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"somewhat arbitrarily" is a correct and usable phrase in written English.
It is typically used to describe an action or decision that is done without specific reason or justification. Example: The team was divided somewhat arbitrarily into two groups for the project, causing some confusion and frustration among the members.
Exact(60)
Somewhat arbitrarily, they decided that the robot must operate for 15 to 20 minutes.
For this reason alone, modern scholars tend to regard them as a somewhat arbitrarily selected group.
Hanging out means you can show up or not at somewhat arbitrarily chosen times.
(Newton had chosen these, somewhat arbitrarily, by analogy with the seven notes of the musical scale).
All existing definitions are based, somewhat arbitrarily, on disease incidence or prevalence.
Ahl somewhat arbitrarily attaches himself to a stranger named Fidno, a former doctor with links to piracy.
Such a manifold is somewhat arbitrarily defined, as long as the system dynamics are stable on it.
(Newton had chosen these, somewhat arbitrarily, by analogy with the seven notes of the musical scale). But few people agree on what "indigo" is.
The subdivision of civilizations surveyed differs somewhat arbitrarily from the earlier section by the omission of certain areas and the inclusion of Crete and Mycenaean Greece.
So, when occupations are grouped into five categories (somewhat arbitrarily), it looks like black and white Americans now work in similar jobs.
This definition of body coupling BCS is not biased toward the somewhat arbitrarily defined events of movement initiation and termination considered above in the BCM analysis.
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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