Cantor Function
The function whose values are
for any number between
and
Chalice (1991) shows that any real-valued function
on [0, 1] which is Monotone Increasing andsatisfies- 1.
, - 2.
, - 3.
References
Chalice, D. R. ``A Characterization of the Cantor Function.'' Amer. Math. Monthly 98, 255-258, 1991. Wagon, S. ``The Cantor Function'' and ``Complex Cantor Sets.'' §4.2 and 5.1 in Mathematica in Action. New York: W. H. Freeman, pp. 102-108 and 143-149, 1991.
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