I know Jax's CDs, but your numbers assume that he attacks exactly as often as his attackspeed says,blah blah blah.
The math isn't bad because I haven't made any errors. I made assumptions to perform the calculations in 20m rather than 1hr. It's up to us to interpret what the math says. So, in no way is this 'bad'.
I stated what the math tells us. "Jax has carry level damage". And he does. You cannot deny that. You are thinking too much about play situations, how you'll react, ways to counter, etc.
None of this has to do or attempts to dispute the point that Jax has carry level damage. He is a hyper carry. And Dominion is the fuel that drives him to get to that hyper carry status each and every game.
And the issues of his build are irrelevant. Because if this build is sub-optimal than it only furthers my point.
You want more accurate math? Do it yourself. And while you're panning Excel for proper calculations for a while, I'll be in game.