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The phrase "accepting the assumption" is correct and usable in written English.
You can use it when discussing the acceptance of a premise or belief in a logical argument or analysis.
Example: "In order to proceed with the experiment, we must first be clear about accepting the assumption that all variables are controlled."
Alternatives: "acknowledging the premise" or "embracing the belief".
Exact(5)
Accepting the assumption of earlier authors that Q=0.50 or 0.44, our data would support the hypothesis that the fox femurs are optimized to withstand yield, fatigue or stiffness strengths.
Accepting the assumption given above, the PSD of the BOC-AW signal is given by G p, q, α M f = S BOC-AW p, q, α M f 2 T c (23).
By accepting the assumption of a generally invariant BRDF shape for similar land surface structures as a priori information, spectral white-sky and black-sky albedos are derived through albedo-to-nadir reflectance ratios as a bridge between the Landsat and MODIS scale.
Accepting the assumption of earlier authors that the ratio Q of the marrow to bone density is 0.5, our data show that the marrow-filled tibiotarsi of Corvus and Pica are optimized for stiffness, while the marrow-filled femora are far from any optimum.
Many comments suggested that respondents preferred one type of preventative service over another because of misunderstanding the scenario or not accepting the assumption of equal costs and benefits across services.
Similar(55)
When accepting the assumptions determined and recognizing the caveats originated from the limited data available, a number of 6 12 DALYs per 1,000 population can be assumed as result of the preliminary estimates.
For these reasons, current research in the neurobiology of NPS-AD is driven by accepting the assumptions first that neuropsychiatric symptoms are accurately measured in AD and second that NPS-AD is related to changes in brain structure and function that point toward underlying mechanisms of behavior that may or may not be shared with other neuropsychiatric or idiopathic psychiatric disease.
Or if the young politicos accept the assumption of every premier from Attlee to Blair via Thatcher that the levers in Whitehall can control society.
MR. CORZINE: Well, first of all, Jim, I don't accept the assumption that we're going to spend $19 million on television buys in this election.
Officials in the governing party, the African National Congress, emphasize that Mr. Mokaba was defeated during a debate this month in which the party formally accepted "the assumption that H.I.V. causes AIDS".
But if you think that wine, steak and omelets are simply part of a sensible diet, if you don't accept the assumption that rich food is deadly, there is no paradox.
More suggestions(14)
accepting the notion
adopting the assumption
accepting the hypothesis
accepting the conjecture
accepting the theory
accepting the conclusion
accepting the assertion
accepting the premise
accepting the possibility
incorporating the assumption
accepts the assumption
take the assumption
accepted the assumption
accept 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