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The phrase "applicability of the first" is correct and usable in written English.
It can be used in contexts where you are discussing the relevance or suitability of a particular item, concept, or rule in relation to the first item in a series or list.
Example: "In our analysis, we will examine the applicability of the first theory to the current situation."
Alternatives: "relevance of the first" or "suitability of the first".
Exact(2)
The easy and excellent applicability of the first approach for the determination of ADP in its pharmaceutical gel encouraged us to conduct the in vitro diffusion test and to study the percentage of its release.
Eiland-Hall explained his rationale for giving away the domain name, citing his desire to protect the applicability of the First Amendment to the U.S. Constitution had been satisfied.
Similar(58)
Yesterday, the judge offered a detailed explanation for his January ruling on Miranda, and unveiled for the first time his broader conclusions about the applicability of the Fifth Amendment, in which the Miranda warnings are rooted.
The court is likely to issue its last four decisions of the term on Monday, including ones concerning the applicability of the Second Amendment to state and local gun control laws and the constitutionality of an accounting oversight board created by the Sarbanes-Oxley Act of 2002.
The kinetic measurements helped in determining the specific rate constant confirming the applicability of the first-order rate expression.
The applicability of the second-order kinetics is represented by the Eq. 8 [45] 45].
Evidence in favour of the applicability of the second model have been summarized.
A plot of (t/q t ) versus t gives a linear relationship for the applicability of the second-order kinetic model as shown in Fig. 10.
A plot of t/qt against t gives a linear relationship for the applicability of the second-order kinetic (Fig. 10).
Analysis of experimental adsorption data to various kinetic models such as pseudo-first and second order, Elovich and intraparticle diffusion models show the applicability of the second-order equation model.
In order to extend the applicability of the third-order neutron correlation technique to actual complicated subcritical systems, we previously derived the spatial and neutron energy dependent theoretical formulas of Y∞ and X∞ by using the first-, second-, and third-order importance functions.
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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