I'll give you the context, but as I said it's a bit involved. It's a math puzzle to which I know the answer, but do not understand the intuition behind the answer. Here's the puzzle:
A “small” ball with unit mass is resting on a pool table. A “big” ball with mass 16x100n (n a non-negative...
I've run across a system of recursive functions (call them f and g). The system looks like this:
f(x) = a f(x-1) + b g(x-1)
g(x) = a g(x-1) + c f(x-1)
I also know that f(0) = 0 and g(0)>0. Finally, I know for other reasons that are too complicated to go into here that the system is somehow...