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The phrase "applicability and importance of" is correct and usable in written English.
It can be used when discussing the relevance and significance of a particular topic, concept, or issue.
Example: "The applicability and importance of renewable energy sources cannot be overstated in today's environmental discussions."
Alternatives: "relevance and significance of" or "utility and value of".
Exact(10)
The findings highlight the applicability and importance of sensitivity analyses in general, and screening design methods in particular, during early development of ecological individual-based models.
In this paper, the applicability and importance of hybrid system tools for the design of control algorithms for energy conversion in power systems is illustrated in two hybrid control designs, one pertaining to DC/DC conversion and the other to DC/AC inversion.
Experts rated their agreement concerning the applicability and importance of ORC elements on a 5-point Likert scale, where 1 indicates total disagreement and 5 indicates total agreement.
They were then asked specific questions about the relevance, applicability, and importance of each capacity domain identified in the literature search.
Absence of consensus was determined when less than 60% of participants agreed on the applicability and importance of a core element.
Consensus was deemed "strong" when applicability and importance of a dimension or sub-dimension were rated as 4 or 5 on the Likert scale by at least 75% of the experts in round 2. Consensus was deemed "moderate" when 60%to74%4% of participants agreed on both the applicability and importance of a dimension or sub-dimension.
Similar(50)
Thus, instructed actions allow for no flexibility of behaviour, whereas free actions, in the everyday sense, may be the result of an internal evaluation of the applicability and relative importance of the several different internal rules.
Consensual factors of applicability and importance identified in our study for each user group should guide future research.
Consensus was defined a priori as strong (≥ 75%) or moderate (≥ 60-74%) according to user groups' level of agreement on applicability and importance, partial (≥ 60%) when participants agreed only on applicability or importance, or as no consensus (< 60%).
Absence of consensus was determined when less than 60% of participants agreed on the applicability and the importance of a factor.
Consensus on a questionnaire factor was considered "strong" when at least 75% of participants reached an agreement on both the applicability and importance.
More suggestions(17)
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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