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Discover LudwigThe phrase 'its application to' is correct and usable in written English.
You can use it to refer to the way that a particular concept, idea, or principle is used in a specific situation. For example: "This theory has far-reaching implications, and its application to the field of medicine has been particularly remarkable."
Exact(60)
It submitted its application to the FDA a month later.
It submitted its application to the Coastal Commission in September.
And now it's bringing its application to the iPhone.
Its application to type II diabetes.
In situ wavefront correction and its application to micromanipulation.
His company has pioneered its application to human remains.
Its application to edge removal in tetrahedral meshes.
9. Color and its application to printing, by E.C. Andrews.
Newton's method and its application to logistic regression.
C-K Theory and its application to design practice.
Its application to batch and flow reactors is discussed.
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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