We start with a generalization of the well-known three-door problem:
the n-door problem. The solution of this new problem leads us to
a beautiful representation system for real numbers in (0,1] as
alternated series, known in the literature as Pierce expansions.
A closer look to Pierce expansions will take us to some metrical
properties of sets defined through the Pierce expansions of its
elements. Finally, these metrical properties will enable us to
present 'strange' sets, similar to ...
We start with a generalization of the well-known three-door problem:
the n-door problem. The solution of this new problem leads us to
a beautiful representation system for real numbers in (0,1] as
alternated series, known in the literature as Pierce expansions.
A closer look to Pierce expansions will take us to some metrical
properties of sets defined through the Pierce expansions of its
elements. Finally, these metrical properties will enable us to
present 'strange' sets, similar to the classical Cantor set.
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