Re:How odd is a cluster of plane crashes?
by eru on Wednesday August 19, 2015 @06:09AM
(#10084545)
Thanks for clarifying.
> Also, trying to run this experiment in practice is also problem even for dots on a screen, because eventually the finite display size of your dots will become an issue, as will floating point arithmetic (since you only really have a finite number of floats in a given range).
Yes, but that's not a problem for the theoretical analysis of fractal dimension.
Uniformly placed dots do have a characteristic density and a relatively simple distribution of nearest neighbour distances. Even the clumpiness doesn't lead to scale invariant lumps.
The lumps get absolutely bigger on bigger scales, but relatively smaller and smoother.
It would be useful to do the analysis properly, though.
> Also, trying to run this experiment in practice is also problem even for dots on a screen, because eventually the finite display size of your dots will become an issue, as will floating point arithmetic (since you only really have a finite number of floats in a given range).
Yes, but that's not a problem for the theoretical analysis of fractal dimension.
Uniformly placed dots do have a characteristic density and a relatively simple distribution of nearest neighbour distances. Even the clumpiness doesn't lead to scale invariant lumps.
The lumps get absolutely bigger on bigger scales, but relatively smaller and smoother.
It would be useful to do the analysis properly, though.