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单词 Cantor Function
释义

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.
is the Cantor function.

See also Cantor Set, Devil's Staircase


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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