/sci/ - Science & Math

>>9425178
1. Maths+CS bachelor's degree (in progress)
2. 3 hours
3. 0 hours
4. MacOS on a Macbook Pro because it was given to me
5. Not killing myself (in progress)

Do your best

Why does solvability of the Galois group of the splitting field of f(x) imply that the roots of f(x) are algebraic?

Animated Poincaré sections of a Duffing oscillator.

Assume a particle in a 1D potential. The phase space is then 2D. Now add a time-dependent and periodic function to that potential. What dimension is the phase space then? I'd think that you would need another dimension in your phase space to prevent phase space trajectories from crossing. Pic related, they are the Poincaré sections of the Duffing oscillator.

>>6553333
And the other direction.

>>6460912
Holy shit, I made that. Here, have two more, they're pretty much the same, though. If anyone is interested, it's the simulation of a chaotic system (a Duffing oscillator). I first track the phase space throughout time, and then take the Poincaré section for several different periods in time.