Let the set
A -cover of F is a countable
or finite union of non-empty subsets
less than which cover F:
gets smaller the number of allowed covers decreases and
increases and has a limit for
This limit exists and is called the Hausdorff measure.
If t>s and
So if you explore as a function of s there is
a jump from to zero at some s which is called the
Hausdorff dimension of F.
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