More Fractal Geometry/Chaos theory

[andrew at cee.hw.ac.uk]

[apologies to the maths-illiterati for yet more mathematical jargon]

Sanjay,

Essentially your epsilon delta description (epsilonics, anyone?)
appears to be saying that is synonyous with continuous. And you also
appear to be saying that non-linear is synonyous with discontinuous
and that chaos deals with non-linear i.e. discontuous systems.

But, just a few notes back someone was claiming that non-linear and
linear are not mutually exhaustive of all the options. Perhaps someone
could clarify?

Are linear systems a subset of continuous systems or are the terms
linear and continuous synonymous?

Are non-linear systems a subset of discontinuous systems or are the
terms non-linear and discontinuous synonymous?

Is chaos theory nothing more nor less than the study of discontinuous
systems or does it deal with specific types of discontinuous systems.


Andrew Dinn
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We drank the blood of our enemies.
The blood of our friends, we cherished.