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The phrase 'apply the assumption' is correct and usable in written English.
It may be used when you want to encourage someone to use an idea or belief to reach a conclusion or make a decision. For example, "Using the data that we have, let's apply the assumption that the market will remain stable and make our projections accordingly."
Exact(1)
(ii) Proceed as in (i) with the only difference that in the subcase (2) we apply the assumption that the Gap Conjecture holds for residually polycyclic groups to conclude that this subcase is impossible.
Similar(58)
President Obama cannot apply the assumptions he has about the sentiments of people in democratic countries toward their government and military institutions to nondemocratic countries.
For the predictions of the TWH to apply, the assumptions of the model must be met [3], [4].
As an exercise, if we apply the assumptions from this plan to the 3 million goal, 30 000 physicians are needed if they are the only staff allowed to evaluate and prescribe.
Then, the GESD-based method filters out an outlier by applying the assumption that clock offsets from benign nodes follow the same (or similar) distribution or pattern.
Kwon et al. (2013b) applied the assumption of 2-mm thick slip layer on an SIPM model, and then calculated the distribution of the rheological property of the slip layer.
One strand of literature applies the assumption that integration policies provide a particular incentive structure influencing immigrants' preference formation that shapes their individual behaviour (Freeman, 2004; Hansen, 2012; Koopmans et al., 2005; Koopmans, 2010; Manatschal, 2013).
The extended SMMT for RC composite box-girders with corrugated steel webs incorporates the contribution of corrugated steel webs into the SMMT for RC members by applying the assumption of shear strain relations between concrete slabs and corrugated steel webs.
Applying the assumption that the genes exhibiting temporal changes are potentially related to the outcome, we next excluded those probe-sets with a 'low' sample coefficient of variation, which we defined as having a coefficient of variation in the bottom half of the sample (i.e., below the sample median).
To explain clans whose origination was not resolved after applying the assumption, a gain model and a loss model were proposed simultaneously.
Our research does not provide solid evidence for the onion model, which warns to be cautious with applying the assumptions of theoretical models in educational practice without empirical support.
More suggestions(17)
apply the conclusion
apply the notion
apply the expectation
apply the presumption
apply the possibility
apply the theory
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implements the assumption
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cases the assumption
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applications the assumption
implementing the assumption
apply a hypothesis
used 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