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illini1

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Buffon’s needle assumes a flat space, while a non-Euclidean space or geometry would affect the probability leading to a different value other than pi. You can treat the space around us as Euclidean, but that isn’t true for every part of the universe.

I think you’re misunderstanding the original FTC Noncompete Rule Ban. It would currently apply to employers other than senior executives to prevent trade secrets to be hired away. Additionally, they provide alternatives that won’t allow for trade secrets to leave a company such as NDA’s, which is what most non-competes have to prevent dissemination of trade secrets.

It has to do with the wave-particle duality of matter. As you more finely attempt to measure the momentum (a more fundamental measurement compared to kinetic energy) and its location, you run into the wave-like nature of matter. It becomes more of a distribution rather than a point measurement. I won’t attempt to show the mathematics behind this, I’ll leave that for a physicist or mathematician.

I believe that’s too narrow of a viewpoint and disregards the nuances of the relationship between graduate students and their universities. In recent times universities have increasingly relied on grad students for teaching and research functions. If you asked a graduate student to describe their experience they will most likely compare it to a job because it has the same responsibilities as one.