What do you think if I suppose that there is a structure like "apply something to something" or "application of something to something", concretely in this sentence it likes "application of the X method to the Y model" or "apply the X method to the Y model"
It becomes "apply something to something". Is it a correct form ?
Yes it a correct form having idiomatic as well as literal use; as
Lit. to put something onto the surface of something. Apply the paint evenly to each surface.
Idiomatic. to use something, such as force, effort, etc., on something or in the performance of some task. An even greater effort has been applied to make sure we finish on time.
I think the structure of the sentence "We discuss an application of the X method to/for the Y method" is "We discuss something". And something here is concretely "an application of the X method to the Y method".
I think when using the verb "apply", we have "apply something" and when using the corresponding noun "application", we have "application of something" with no changes in meaning.
I think there nothing wrong with the structure but what about meaning? By using ‘to’ you apply a method to a model(mark model) as if it has a sutface where as ‘for’ indicates purpose of the discussion i.e. to examine its suitability to fit the Y model.
Could you explain more and clear out my doubts please?
Thank you very much !!!