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The phrase "assert this assumption" is correct and usable in written English.
You can use it when you want to state or declare a particular assumption as true or valid in a discussion or argument.
Example: "In our analysis, we need to assert this assumption to ensure the validity of our conclusions."
Alternatives: "state this assumption" or "declare this assumption."
Exact(2)
This is an advantage that we think can be crucial in estimating synaptic conductances, since the assumption of Gaussianity is generally assumed in the literature [4, 33], but there are no conclusive evidences to assert this assumption.
Since filterHD is a probabilistic framework, one can assert this assumption quantitatively in terms of likelihoods.
Similar(58)
A conjecture of Cheng asserts that this assumption can be weakened for smooth strongly pseudoconvex domains.
A larger series could assert this observation.
More work is still needed to assert this link.
Theorem 8 asserts that assumption (u0) together with Corollary 2 provides the uniqueness of common fixed point.
We assert that under assumption (2.32).
The two following corollaries, whose proof will be deduced from that of the previous theorem, assert
As a first-time parent, I've done my share of assuming that there are some duties my wife would assume, and vice-versa – but it is unfair and unrealistic to make and assert such assumptions about gender based roles anymore.
That's what I like most about Gore: he confidently asserts his assumption of superpower responsibility.
Grimm et al. (2003) asserted that the assumption of P limitation in freshwater was geographically biased since most prior research had been conducted in the eastern USA in areas with low-P parent geology and excessive N inputs from agriculture.
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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