Measuring Fractal Dimension ?
Sun Jun 28 02:52:02 EDT 2009
Steven D'Aprano <steve at REMOVE-THIS-cybersource.com.au> writes:
> Depends on how you define "discontinuous".
The mathematical way, of course. For any epsilon > 0, etc.
> Catastrophe theory is full of discontinuous changes in state. Animal
> (by which I include human) behaviour often displays discontinuous
> changes. So does chemistry: one minute the grenade is sitting there,
> stable as can be, the next it's an expanding cloud of gas and metal
If that transition from grenade to gas cloud takes a minute (or even a
femtosecond), it's not a mathematical discontinuity. The other
examples work out about the same way.
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