Re:Germany locks down unvaccinated people, as leaders plan t...
by gugagore on Tuesday December 07, 2021 @04:56PM
(#29478713)
> that has similar properties.
You should be specific about what properties you're talking about. What you're saying is that any function increasing function grows faster than some exponential function on a finite interval.
Still, you can observe f(x) on x ∈ [0, 1] and see that it is growing linearly. And you can observe g(x) on ∈ [0, 1] and see that it is growing exponentially.
I do not see the value in discussing the rate of exponential growth of f. Where as for g, there is a parameter with value ln(2).
If data looks like f, don't try to fit an exponential function to it (whether it's a least-squares fit, or any other objective f > g.
Are you trying to say anything else?
It is easy to show that for any function whose derivative is continuous and positive at 0, there is an exponential function (properly translated such that they agree at 0) that has similar properties.