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The phrase "an instance of its application" is correct and usable in written English.
You can use it when referring to a specific example or case where something is applied or utilized.
Example: "In this study, we will examine an instance of its application in real-world scenarios to better understand its effectiveness."
Alternatives: "a case of its use" or "a specific example of its implementation."
Exact(1)
A design system of surface design and an instance of its application are given at the end of the paper.
Similar(57)
However, this decree proved challenging upon the first instance of its application.
Only a few instances of its application have been published in the literature, and they mainly focus on one single environmental aspect.
We apprehend the algorithm in the particular cases after repeated exposure to particular instances of its application, by a process of intuitive induction (FE 170).
When a client application creates a session with a trusted application, it connects to an "Instance" of that trusted application.
Internal component: a reusable type of application component, whereas an internal component instance represents an instance of an application component.
When you sign up for an account on a public cloud service, you don't have to wait a week for someone to set up an instance of the application on your behalf.
With CloudML at the core of application modeling CAMEL (and thus in our professional network) it is worthwhile describing its key modeling concepts: Internal component: a reusable type of application component, whereas an internal component instance represents an instance of an application component.
At each iteration of an experiment (see Algorithm 3), an instance of the SUMO application is launched.
An instance of application of the model developed in this paper will be presented in this section.
An instance of the AMBIT web application (ambit2.war) was installed and the chemical structures were imported.
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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