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The phrase 'important assumptions' is grammatically correct and is commonly used in written English.
It can be used when discussing a topic or making a statement that requires certain beliefs or principles to be accepted as true. It implies that these assumptions are crucial to understanding or evaluating the topic at hand. Example: "In order to fully understand the implications of climate change, it is important to consider the assumptions underlying various scientific models and projections."
Exact(60)
More important, assumptions must also be made about interest rate movements.
It's imperative that you back up your numbers by sharing your important assumptions.
Some important assumptions are listed here.
Furthermore, one imposes the following important assumptions.
In designing the RPs, certain important assumptions are made.
The important assumptions in this paper are as follows: 1.
Table 3 summarizes the most important assumptions of the considered disaster scenario (unless mentioned otherwise).
The important assumptions considered are as follows: The worksheet material is isotropic and homogeneous.
We make some important assumptions as follows: The topology of sensor network is semi-static.
Spatial autocorrelation violates one of the important assumptions of traditional statistics-independence of observations.
Two important assumptions of the MCLP are 'binary coverage' and 'individual coverage'.
More suggestions(15)
important conjectures
important misconceptions
important premises
important explanations
pivotal assumptions
salient assumptions
important prerequisites
substantial assumptions
important conclusions
crucial assumptions
important hypotheses
important situations
vital assumptions
essential assumptions
critical 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