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Okay I guess I see the point is that the bouncing ball converges to a default state, unlike a light switch, which converges to an unknown state. Is it the force
by beiller 9y ago
Okay I guess I see the point is that the bouncing ball converges to a default state, unlike a light switch, which converges to an unknown state. Is it the force of "gravity" which causes this default state, so does the convergence just cancel out all other influences on the system state perhaps?
- tzahola 9y agoThe ball's state can be described by its y coordinate, and it converges to zero. The lightbulb's state can be described by Boolean variable (on/off), but it doesn't converge, just oscillates between on and off with an exponentially increasing frequency. If we have instead used a variable intensity light switch, and turned it like 0%, 100%, 0%, 50%, 0%, 25%, 0%, 12.5% ..., with an exponentially increasing frequency, it would have also converged to the 0% state like the ball did. So the variables that describe the system's state has to converge.