In article <email@example.com>, "Ross A. Finlayson" <firstname.lastname@example.org> wrote:
> "There's no gap in this Heaviside step with connecting H(0+) and H(0-) > with a simple line segment. Since the H jumps from 0 to 1 at x = 0, tha segeemnt must have endpoints (0,0) and (0,1), The fiction being claimed to be continuous, for what x does the function take the value 1/2?
> There is no point in it such that, not in > the function, it is the only point in all neighborhoods of any  two > points in the function, not in the function (not even a point > discontinuity). Here "in the function" is each (x,y) in the combined > coordinate image or co-range, with the function defined by the points > in it.
I do not find enough sense in that to be worth its refutation. --