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The phrase "application of a new" is correct and usable in written English.
It can be used when discussing the implementation or use of a new concept, method, or technology in a specific context.
Example: "The application of a new algorithm has significantly improved the efficiency of our data processing."
Alternatives: "utilization of a new" or "implementation of a new".
Exact(60)
There are obviously a number of complexities involved in the application of a new regulation.
1970: Paul A. Samuelson, American, for application of a new scientific analysis to economic theories.
This research represents the application of a new click type reaction to prepare functional polymers.
The application of a new fatigue crack repair concept defined as 'short repair' is presented.
The application of a new method for measuring velocity fields within a porous medium is presented.
The paper describes the development and application of a new Euler solver for adaptive tetrahedral grids.
Charman, A. et al. Description and first application of a new technique to measure the gravitational mass of antihydrogen.
In conclusion, we report on encouraging results on the application of a new bio-NCP as a PTX carrier.
This study was the first application of a new optimization strategy to a complex natural matrix.
This paper describes the application of a new fault-tolerant control scheme for nonlinear systems.
First, the application of a new capillary material with different zirconia compositions was evaluated.
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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