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The phrase "adopt the assumption" is correct and usable in written English.
You can use it when discussing the acceptance or incorporation of a particular belief or idea as a basis for reasoning or action.
Example: "In our analysis, we will adopt the assumption that all variables are independent to simplify the calculations."
Alternatives: "embrace the premise" or "accept the hypothesis".
Exact(9)
In addition, I adopt the assumption that Mandarin Chinese does not have a finite/non-finite distinction (Xu 1986, Hu et al. 2001, but cf., Huang 1982).
We adopt the assumption that the residual vectors are correlated with their corresponding cepstral vectors [28] and thus share similar statistical properties.
In this study, we adopt the assumption made in [9] such that a reliable feedback channel from the BS to every user is available to share this information.
We adopt the assumption that the interference from the primary network to secondary network is neglected according to the features of CRN [21, 22].
On the other hand, as for a quantity system, I adopt the assumption which Sraffa does not adopt: I assume that all the industries grow at the same rate.
In the following formulation, I am loyal to Sraffa, as far as a price system is concerned: I adopt the assumption that wages are paid post factum, namely, at the end of production, and that the rate of profit is equalised by competition (Sraffa [1960]).
Similar(50)
I adopted the assumption of many of my generation that women were intellectually inferior to men, that we were not capable of governing, leading, managing anything but our homes and our children.
Instead of making the usual assumption that the small random effects occur on an infinitesimally small scale, he adopted the assumption that the random effects occur on a scale that is small in comparison to the scale at which the system is viewed.
In the present model, for simplicity, we adopted the assumption stated in Eq. (9).
Previous musculoskeletal modeling studies have adopted the assumption of the same maximum isometric muscle stress among the prime elbow flexors.
We adopted the assumption that there was no change in inventory, which stated that sales value was equal to product value.
More suggestions(16)
adopt the principle
adopt the postulate
adopt the theory
adopt the premise
adopt the projection
adopt the expectation
establish the assumption
adopted the assumption
establishing the assumption
incorporate the assumption
implements the assumption
adopting the assumption
adopts the assumption
implemented the assumption
adapting the assumption
application the assumption
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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