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The phrase "a basic assumption for" is correct and usable in written English.
It can be used when discussing foundational beliefs or principles that underlie a particular argument, theory, or framework.
Example: "A basic assumption for this research is that all participants will provide honest feedback."
Alternatives: "a fundamental premise for" or "a core belief for".
Exact(3)
A basic assumption for the use of these methods is the linear elastic behaviour of the tested structures.
Moreover, standardized terminology is a basic assumption for semantic interoperability.
The parameters provided in this article allow power calculations for either context since linearity is a basic assumption for slope of change and should hold true early or late in the course of disease.
Similar(57)
Underlying today's orthodoxy, for instance, is a basic assumption that has been held by practically all management theorists and by most practitioners since the earliest days of thinking about organization; that is, since Henri Fayol in France and Walter Rathenau in Germany around 1900.
Data from each laboratory were selected to estimate inter-laboratory difference and duplicates within each laboratory were used to estimate the intra-laboratory difference and served as a basic assumption in deriving acceptance criteria of equivalence for the inter-laboratory comparison.
This plotline turns on a basic assumption about translators: that we are neutral conduits for someone else's meaning.
Encountering asexual people for the first time calls into question a basic assumption that most of us hold: that everyone experiences sexual attraction.
The basic assumption for this article seems to be that anything a college spends from its endowment is considered an "operating expense".
The basic assumption for the zero-dimensional model is that the reservoir system can be depicted as a sealed tank where reservoir changes upon depletion can be represented as a function of volumetrically averaged average reservoir conditions.
The basic assumption for our approach is that, for communication to take place, end-points must be aware of each other's HIT and the respective public key (HI).
In the current study, test data and reference data were sampled from the same population, which is the basic assumption for most of the methods studied here.
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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