Cantor function


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Cantor function

[′kän·tȯr ‚fəŋk·shən]
(mathematics)
A real-valued nondecreasing continuous function defined on the closed interval [0,1] which maps the Cantor ternary set onto the interval [0,1].
References in periodicals archive ?
Some signals are defined on the Cantor sets, such as the Cantor function and Cantor-like functions, which are nondifferentiable data.
Figure 1 shows an example of a signal for a Cantor function object while in Figures 2 and 3 there are some examples of signals on the Cantor-like functions defined on the Cantor sets.
One of the most efficient zone plates is based on Devil's vortex Fresnel lens (DVFL) derived from Devil's staircase function called the Cantor function [1].
A phase mask based on Devil's lens can be described by the one-dimensional Cantor function, a particular case of Devil's staircase.