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Since the initial question was closed, but seems to be attracting a lot of discussion even after the fact, some of the comments qualifying as full answers IMO, I believe it is a reasonable question to ...

First, my apology for this soft question. My excuse was that I really think this may be of interest to the community. I would understand if it gets closed (I have advocated closing some soft questions ...

I managed to improve the techniques of a year-old paper to get a significantly stronger result. I used original ideas, but a large part relies upon results of the original paper. (to the point that ...