Maybe because PhD programs in those fields already are free at every university (in fact, they pay you a stipend).
> Axiom of choice assumes that you can always pick the best possible option, however you need to be able to account for your worst possible options as well. All mathematical optimization falls outside of classical…
No: (ii) only holds when e1, e2 come from the original vector space (not the product).
True, but that's still O(n!), so the overall complexity doesn't change.
I think it's because a lot of his humor is self-deprecating, so many of his jokes are "on" him.
Maybe because PhD programs in those fields already are free at every university (in fact, they pay you a stipend).
> Axiom of choice assumes that you can always pick the best possible option, however you need to be able to account for your worst possible options as well. All mathematical optimization falls outside of classical…
No: (ii) only holds when e1, e2 come from the original vector space (not the product).
True, but that's still O(n!), so the overall complexity doesn't change.
I think it's because a lot of his humor is self-deprecating, so many of his jokes are "on" him.