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The phrase "a primary assumption of" is correct and usable in written English.
It can be used when discussing a fundamental belief or premise that underlies a particular argument, theory, or framework.
Example: "A primary assumption of this study is that all participants will respond honestly to the survey questions."
Alternatives: "a key premise of" or "a fundamental belief of".
Exact(3)
A primary assumption of the evolutionary model behind neo-Darwinism is that development can be traced back through a series of subtly incremental changes.
A primary assumption of existentialists is that human beings are more than the situation they find themselves in; they are more than their biological make-up; and they are more than the low expectations placed upon them.
For example, a primary assumption of single-strain MRSA models is that MRSA emergence occurs outside a hospital, entering the hospital via importation.
Similar(57)
By looking at the differentially regulated genes related to pathogen responses induced by cold stress, a primary assumption was made that the co-evolution of severely affecting co-occurring stress related genes and processes was highly possible.
We determine the pore size distribution for five activated carbons (comprising carbide derived as well as commercial activated carbon samples) by the interpretation of experimental small angle neutron scattering (SANS) intensity profiles, based on the primary assumption of an infinitely dilute solution of hollow spherical particles.
The primary assumption of CLP is that it is a linear layout.
The primary assumption of our paradigm is that the response to a differentiation stimulus will reveal changes of gene expression that distinguish normal from PAC cells.
The primary assumption of Social Cognitive Theory is that behavior, environment, and the person are reciprocally linked [ 28].
The primary assumption of the simulations is that reads are generated uniformly across the transcriptome, or at least in proportion to ν i for each isoform (in the case of non-uniformity across a transcript's length).
The primary assumption of this study, that CBR >30%, was met in this analysis, where 37.2% of patients exhibited a clinical benefit from rechallenge with PLD (95% CI, 32.4 42.0).
The primary assumption of this theory is that normal antioxidant defense levels are not sufficient, so that some ROS escape elimination causing molecular damage, some of which are irreparable and accumulate with age.
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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