I first thought of calculus, which has the opposite law from a fractal: it assumes that no matter how complex the function is, at a small enough scale every function is smooth (straight line).
As opposed to the physical examples of Gas Laws, and coastlines, which are more like statistical models using the law of large numbers to smooth out. Another great example of stat smoothing is the second law of thermodynamics, which is like a summary of all possible physical systems.
Interesting that calculus works so well with describing physical systems.
> Smoothness is a function of scale
I first thought of calculus, which has the opposite law from a fractal: it assumes that no matter how complex the function is, at a small enough scale every function is smooth (straight line).
As opposed to the physical examples of Gas Laws, and coastlines, which are more like statistical models using the law of large numbers to smooth out. Another great example of stat smoothing is the second law of thermodynamics, which is like a summary of all possible physical systems.
Interesting that calculus works so well with describing physical systems.