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The phrase "assumption necessary" is correct and usable in written English.
It can be used in contexts where you are discussing the need for a particular assumption to be made in order to proceed with an argument, analysis, or decision.
Example: "In order to evaluate the results of the experiment, the assumption necessary is that all variables were controlled."
Alternatives: "required assumption" or "essential assumption".
Exact(7)
The initial assumption necessary for the ART algorithm is obtained using the IRI-2007 model (Bilitza and Reinish, 2008).
The approximation of the data distribution for data that is not considered i.i.d. is very cumbersome, making this assumption necessary for practical purposes as well.
It is not known whether cultural diversity ever reached equilibrium in Lower and Middle Paleolithic societies, nor is this assumption necessary here.
It is important to note, however, that an assumption necessary to ensure the construction of adequate unbiased UDs is that the data points have been collected suitably often to obtain a representative sample of points over time to cover all modes of behavior.
Why is this assumption necessary?
The first concerns the assumption that the sharing of the monozygotic twins' environment is identical to that of dizygotic twins an assumption necessary for heritability to be estimable from twin studies.
Similar(53)
THE assumptions necessary to preserve the two-state slogan have blinded us to more likely scenarios.
"The methods are appropriate and very thoroughly and clearly explained as are the assumptions necessary to draw the conclusions".
A collection of multi-disciplinary relationships and relevant assumptions necessary to create a physics-based optical systems model is presented.
Hence, the limitations of the modeling assumptions necessary to derive analytical kernels may be avoided in the future.
its factual assumptions," Ante, at 403, either misapprehends the factual assumptions necessary to the Court of Appeals' theory or is entirely without support in the record.
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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