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I liked your breakdown. I think without linear algebra, it's not very intuitive that it's simply a rotation, and the power series itself is quite interesting.
by manglav 13y ago
I liked your breakdown. I think without linear algebra, it's not very intuitive that it's simply a rotation, and the power series itself is quite interesting. So to most people, without a high level of mathematics to discern each component, it's the combination using all of the constants together in one equation.
Just curious, what is your favorite/most beautiful equation? Fractal geometry? (just guessing...)
- reikonomusha 13y agoIn the spirit of Euler's formula, I find pi*sqrt(163) e = 640320^3 + 744 - 0.00000000000075... to be much more beautiful, only because it invokes very deep, rich mathematics in number theory. Note that the above is very close to an integer, and it's no accident that 163 or 640320 show up.
- manglav 13y agoI'm sorry, but can you elaborate? It kind of went over my head, and I would love to learn something new. What do you mean by the number theory/no accident comment?