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The phrase "assumption that the functional" is correct and usable in written English.
It can be used in contexts where you are discussing a belief or premise regarding a functional aspect of something, often in academic or technical writing.
Example: "The assumption that the functional requirements are met is crucial for the success of the project."
Alternatives: "belief that the functional" or "premise that the functional".
Exact(1)
The parameters underlying the CAI model rely on the codon composition of only a limited set of highly expressed genes and are based on a fairly simple assumption that the functional class of genes are highly expressed.
Similar(59)
Such a study is based on the assumption that mRNAs dominate the functional content and are relevant to the function and functional changes of a given cell type.
It follows from assumption (A) that the functional φ is continuously differentiable on (W_{T}^{1,p}).
end{aligned} It follows from assumption (H1) that the functional φ is continuously differentiable.
However, a reasonable assumption is that the functional form (shape) of the distribution is the same in all division classes, as it is determined by the same intracellular processes.
This study was performed on the assumption that the maximum functional force was 400 N.
Therefore, this study was performed with the assumption that the maximum functional force was 400 N.
Moreover, the assumption that also microRNA* have functional roles was recently described (Meng et al. 2011; Yang et al. 2011).
It follows from assumption ((F_{0})) that the functional φ is continuously differentiable on (W^{1,p(t)}_{T}).
Proof of Theorem 1.1 It follows from Assumption (A)′ that the functional φ k on H k T 1 given by φ k ( u ) = 1 2 ∫ 0 k T | u ˙ ( t ) | 2 d t − 1 2 ∫ 0 k T ( Au ( t ), u ( t ) ) d t − ∫ 0 k T F ( t, u ( t ) ) d t. is continuously differentiable.
Based on a key assumption that the variations of functional MR images are sparse over time in the wavelet domain, our method models an fMRI sequence as a linear dynamic sparse model.
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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