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"possible assumptions" is a correct and usable phrase in written English
You can use this phrase when you are referring to a set of potential assumptions, ideas, or conclusions that can be drawn from a particular situation or set of information. For example: After examining the evidence, the jury made a list of possible assumptions about the case.
Exact(16)
First, we determine the relative expectations of the play choices with our best possible assumptions about the team's relative strengths and weaknesses.
He also tested many other possible assumptions, but none of them produced an age for proto-Indo-European anywhere near the date of 6,000 years ago favored by linguists.
However, there exist other possible assumptions that would guarantee the uniqueness.
Even under the most extreme possible assumptions, the mean HIV incidence changed by only 2% of the estimate based on the mid-date assumption, as reported in Table 2.
The above scenarios reflect only three possible assumptions regarding the settings for pediatric ART availability.
We applied a Markov simulation model to assess possible assumptions about the risk of progression.
Similar(44)
A possible assumption is that new IN activation occurs only if the temperature decreases at a certain grid point.
A possible assumption that the flapping could be created by a wake travelling away from a fast flow in the current sheet is rejected.
One possible assumption is that these perturbations result from a stochastic variability in the gene expression levels.
Since 3.2 Å represents the distance of a hydrogen bond and no proton is expected to associate with OE2 of Glu453 and OE1 of Glu406 under the crystallization pH 7.5, a possible assumption might be that Glu406 in the PDE9Q453E mutant locally sequesters a hydrogen atom and thus exists in the protonated form.
Another possible assumption is LOCF.
More suggestions(15)
possible conceptions
possible situations
possible conclusions
potential assumptions
possible premises
possible projections
possible conjectures
possible notions
possible representations
possible misconceptions
possible explanations
developed assumptions
allowing assumptions
possible hypothesis
expected assumptions
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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