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The phrase "underlying assumption of" is correct and usable in written English.
It can be used when discussing the foundational beliefs or premises that support a theory, argument, or analysis. Example: "The underlying assumption of this study is that all participants will respond honestly to the survey questions."
Exact(60)
An important underlying assumption of methods such as PCA and MDS is that the conformational space is linear.
An important underlying assumption of the SIEVE method is that integrated intensity is only attributed to one peptide.
30 The underlying assumption of no between group differences at baseline was confirmed for all measures by one way ANCOVA.
The basic underlying assumption of the functional annotation is that pairwise interaction is a strong indication for common function.
An underlying assumption of communication CA is that dialogues are representative of underlying cognitive processes [ 8].
What is the underlying assumption of terror management?
The underlying assumption of a liberal democracy is that all members deserve respect.
The underlying assumption of such a reaction, however, is that being well-schooled is the same as being well-educated.
The underlying assumption of the main characters' lives is that nothing is true except that the U.S.S.R. will last forever.
The underlying assumption of brainstorming is that if people are scared of saying the wrong thing, they'll end up saying nothing at all.
The underlying assumption of Pynchon's fiction was the inevitability of entropy i.e., the disintegration of physical and moral energy.
More suggestions(14)
underlying possibility of
underlying expectation of
underlying notion of
underlying principle of
underlining assumption of
underlying suggestion of
grounding assumption of
principle assumption of
pivotal assumption of
implied assumption of
foundational assumption of
fundamental assumption of
inherent assumption of
basic assumption of
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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