> This is a spectacularly bad advice, which "off-the-shelves" research libraries that you mention? Harvard, Princeton, MIT, Stanford, Berkeley, U. Chicago, Joh

> This is a spectacularly bad advice, which "off-the-shelves" research libraries that you mention? Harvard, Princeton, MIT, Stanford, Berkeley, U. Chicago, Johns Hopkins, Cal Tech, need I go on? It's very good advice; sorry you don't understand it. In short, the computer science people know how to write software, but for exploiting pure/applied math they don't know what software to write; that needs a mathematician, and the computer science profs rarely have enough background in math to do well with the subject. The math is based on pure math and is heavily theorems and proofs, and about the only way to be good with that material is to be a BS, MS, and hopefully Ph.D. in pure/applied math. The computer science AI/ML work has obtained some good results; just why the techniques work is too often still a mystery. But the emphasis on gigantic quantities of data make the work a niche and real applications rare.