31–40 of 839 posts
The Coriolis Force
The full 3d Coriolis force is more complicated than that (eg accounting for the Eötvös effect): The spinning disk example only gets you to the -2vω term (where v denotes radial velocity and ω angular velocity).
Fermat's theorem: a^n + b^n = c^n For n > 2, why are there no integers a, b, and c that satisfy the equality?
One of my advisors in college said "The proof takes about 10 years of graduate mathematics to understand".
Non-interactive zero knowledge proofs. ZK proofs have a number of good explainers, mostly using graph colorings. Non-interactive versions, however, require quite a bit more than that explanation allows - and despite asking experts, I still haven't found a good, basic explanation.
Fermat's theorem: a^n + b^n = c^n For n > 2, why are there no integers a, b, and c that satisfy the equality?
One of my advisors in college said "The proof takes about 10 years of graduate mathematics to understand".
@GP: I'd recommend to try to read an understand the proof for N=3. (And why that approach does not extend to bigger N.) It requires only undergraduate level math and it is much much much easier. It uses very different tools, so it will give you very little insight of the general proof, but it will give you some taste of the problems of the proof.
Earlier quoted context omitted.
One of my advisors in college said "The proof takes about 10 years of graduate mathematics to understand".
Is there really no intuitive way to communicate the answer to that question without needing 10 years of grad math? I find that to be somewhat hard to believe
Quantum Mechanics, and why we need interpretations of it.