I have a friend that’s a mathematician. Do does research for a university but he has to go out and find his work. I.e. he gets companies to sponsor grants for him to solve a problem they might have. Turns out a big user of this sort of research is the government, more specifically the military. They are always thinking up new ideas to see if they can get x information out of y. I can’t give you any specific examples because he wasn’t allowed to share them, because military. That said, he may have gave me a couple really good examples that would make you think that there is absolutely no way that that could be done. Turns out it can be done. But he absolutely did not tell me.
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