On: 5nm vs. 3nm

[rat9988]

This is not the meaning of an exponential function but merely a property of exponential function with a base > 1.

[stkdump → rat9988]

Tell me another function for which this property holds, but that isn't exponential.

[rat9988 → stkdump]

Polynomial as you stated.

[stkdump → rat9988]

No, a polynomial does not have a constant factor for every t.

[rat9988 → stkdump]

I may have misunderstood your assertion then. Did you mean the following?

Did you mean something like, here exists some delta and t as for every x>y, with y an element of R, f(x+t) > f(x)+delta

[stkdump → rat9988]

You can choose any delta, so that f(t)*constant=f(t+delta) for every t.

[rat9988 → stkdump]

I have misunderstood your original comment. You are indeed correct.

Edit: I just noticed that the function which maps x to 0 satisfies this condition as well, but isn't the exponential function if we consider 0 as part of the domain definition. It doesn't matter much for our discussion though.