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The phrase "assumption prevails" is correct and usable in written English.
It can be used in contexts where a particular assumption is widely accepted or dominates the situation.
Example: "In discussions about climate change, the assumption prevails that human activity is a significant contributor to global warming."
Alternatives: "the prevailing assumption" or "the dominant assumption".
Exact(1)
The accuracy of the model is high in comparison to the 3D FDM (the prime benchmark), as long as the fin-theory assumption prevails (no 'or negligible' temperature gradient in the fin perpendicularly to the fin length).
Similar(59)
Despite intelligence information on the immediacy of the threat level in the spring and summer of 2001, the assumption prevailed in the U.S. government that attacks of the magnitude of Sept. 11 could not happen here...
After many years, during which the assumption prevailed that adjuvant chemotherapy was of no benefit in patients with resectable adenocarcinoma of the colon, findings of several large USA studies published from the late 1980s have caused a marked shift in surgical and medical opinion.
Among large sections of the left the most pessimistic assumptions prevailed".
In the struggle to understand, two false assumptions prevailed: that Sadat's action was mainly symbolic, and the trip should be judged in terms of success or failures.
Among large sections of the left the most pessimistic assumptions prevailed". But Podemos was the child of the indignados movement, a party that emphasises bottom-up democratic participation: where the indignados had neighbourhood assemblies, Podemos has "circles" that take similar forms.
Two assumptions prevail here.
The following assumptions prevailed [14]: 1. Fluid properties are independent of temperature, i.e. μ, cp, β and k are constants.
The assumption no longer prevails.
He rejects equally the neo-empiricist assumptions that prevailed in early analytic philosophy and the kind of metaphysics that the analytical school sought to overthrow.
This approach was based on the Arrhenius relation of τc vs. 1/T determined from motionally narrowed ESR spectra and on the assumption that this behaviour prevails over a broader temperature range at temperatures generally greater than Tg of a given polymer.
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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