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"arbitrary perception" is a grammatically correct phrase and can be used in written English.
You can use it when discussing someone's subjective interpretation or understanding of something, without any concrete evidence or logical reasoning to support it. It suggests that the perception is based on personal preference or bias rather than objective facts. Example: "Her opinion on the new policy was purely based on her arbitrary perception, rather than any concrete data or analysis."
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These companies tend to see fortunes ebb and flow on the sometimes equally arbitrary perceptions of media, competitors, the width of the opening of the initial public offering window and public companies' appetite for M&A at premiums.
As focus turned toward the President, those same groups promoted an unfounded -- and arbitrary -- perception that the President can extend relief to only 5 million people.
As Furley argues, the translation 'convention' should not be taken to suggest that there is anything arbitrary about the perception of certain colors, say: the same configuration of atoms may be regularly associated with a given color.
Decisions to code or not to code will hang on the arbitrary and subjective perceptions of DSM end-users who often spend very little time with the patient and lack training in psychiatry.
The perception of arbitrary outcomes, and the message it sends about Japan's tolerance for bad corporate governance, is hurting investor confidence, analysts say.
Unlike earlier writers on space travel, his imagination and creativity sprang, not from fantasy, but from sharp scientific and technical insight, unfettered by the arbitrary limitations of the perceptions of his time.
Hamilton's writings in general tend to assertion more than argument, and while he has a great deal to say on this point, it does seem that his "solution" to the problem of perception is an arbitrary stipulation designed to overcome it.
Failed states, weak or tyrannical governments, social deprivation, arbitrary use of power and a perception of injustice -- all help generate recruits.
"While the factual situations vary from case to case, such differences in treatment demonstrate how seizure decisions can appear arbitrary, which in turn can fuel public perception that law enforcement is not using this powerful authority legitimately," the report read. .
Second, as described above, we assessed whether arbitrary audiovisual interactions across space and time perception existed in infancy.
This dissociation was accounted for by assuming that when the eyes remain fixed, IOR in (relatively arbitrary) manual responses reflects inhibited attention and/or perception (see also Ivanoff & Klein, 2006).
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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