I have observed that most papers with titles starting with "On the ..." are theoretical ones, like pure mathematics, physics, computer science, etc. Most of these papers are relatively old, though I can find a few recent examples as well.
- Are such titles becoming obsolete?
- If not, when is it appropriate to use it?
Answer
Obsolete, no. Unfashionable, perhaps. One can usually drop the "on the" and still have an acceptable title in current usage, and I expect that is just what many do.
On the other hand, I, like Massimo Ortolano, have also recently published an "On the" paper, so apparently I don't really care about the fashionableness of my titles. I would suggest that you not worry about it either.
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