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The phrase "application of this method for the" is correct and usable in written English.
It can be used when discussing the use or implementation of a specific method in a particular context or field.
Example: "The application of this method for the analysis of data has shown promising results in recent studies."
Alternatives: "use of this method for the" or "implementation of this method for the".
Exact(14)
The application of this method for the Dirichlet boundary condition is also discussed in [14, 15].
Further studies on the application of this method for the synthesis of highly functionalized biologically active chalcones are underway.
This paper presents the application of this method for the design optimization of photovoltaic grid-connected systems (PVGCSs).
Excellent repeatability (RSD < 6.4%) substantially supported the application of this method for the determination of bovine lactoferrin in dairy samples.
However, inter-laboratory application of this method for the analysis of TPH in the soil has often shown considerable variability in the results.
We discuss the application of this method for the Northeastern Connection of the Betuweline: a freight railway linking Rotterdam Harbor to the German Ruhrgebiet.
Similar(46)
The application of this method for the Netherlands [14], [15] is summarised in Table 1.
This study endorses the application of this method for measurement of FMD in clinical practice.
Application of this method is appropriate for the screening and evaluation of multiple scoliotic changes.
See Nolan[ 19] for a recent application of this method.
Application of molecular methods for the diagnosis of Toxocara infections has been increasing.
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