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The phrase "assessing the adequacy" is correct and usable in written English.
You can use it when evaluating whether something meets a certain standard or requirement.
Example: "The team is currently assessing the adequacy of the proposed budget for the upcoming project."
Alternatives: "evaluating the sufficiency" or "determining the appropriateness".
Exact(58)
"We are assessing the adequacy of risk management throughout the bank," Mr. Curry said.
Gary T. Schwartz, Assessing the Adequacy of State Products Liability Lawmaking, 14 Yale L. & Pol'y Rev. (1996).
Social dignity provides a normative ethical grounding for assessing the adequacy of home environments.
But assessing the adequacy of the containers is difficult, the project's critics maintain, because the Energy Department has not made a final design public.
The Matérn variogram should therefore be used rather than the exponential model when assessing the adequacy of a variogram estimate.
The perspective of recent graduates is important in assessing the adequacy of training and for improving clinical and surgical education.
The proposed equation is useful for seismic design, as well as for assessing the adequacy of available equations in current codes.
The present study showed that the RPT technique holds great promise for investigating turbulent flows and the mixing characteristics of STs, and for assessing the adequacy of numerical models.
Straight line behaviour on Arrhenius-type plots and the physical plausibility of the signs of the estimated model parameters are traditional criteria for assessing the adequacy of kinetic rate models fitted to experimental data.
Similar(2)
Use diagnostic plots and tests to assess the adequacy of a particular model.
The set was designed to assess the adequacy of the Weibull model to describe water losses.
More suggestions(17)
assessing the suitability
assessing the soundness
assessing the acceptability
assessing the validity
assessing the appropriateness
gauging the adequacy
addressing the adequacy
assessing the accuracy
assessing the desirability
assessing the relevance
examining the adequacy
judging the adequacy
assessing the quality
assessing the timeliness
assessing the effectiveness
investigating the adequacy
assessing the fitness
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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