Category: mathematics
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SciFi: The unexpected problems with gravity
Artificial gravity in science fiction falls into three categories: Applied Phlebotinum works via made-up technobabble. Examples include the gravity plating in Star Trek. Spin gravity is where inertia wants you to keep going in a straight line, but centripetal force from your outer hull keeps pulling (or pushing) you towards your axis of rotation, creating…
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Hᵤ(2, 2) = 4 for all u>0
A bit of recreational mathematics. I’d be (pleasantly) shocked if this is novel. 2+2 = 2×2 = 2² = 4 🤔 Hᵤ is the set of hyperoperations, e.g. H₁(a, b) = a + b H₂(a, b) = a × b Hu(a, b) = Hu-1(a, Hu(a, b-1)) when u≥3 & b≠0 ∴ Hu(2, 2) = Hu-1(2,…