Cantor ternary set

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Cantor ternary set

[′kän·tȯr ′tər·nə·rē ‚set]
(mathematics)
A perfect, uncountable, totally disconnected subset of the real numbers having Lebesgue measure zero; it consists of all numbers between 0 and 1 (inclusive) with ternary representations containing no ones.
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References in periodicals archive ?
Let C be a copy of the Cantor set in the interval [-1, 1].
Yet he seems to have been derailed by his offhand remark to a reporter that Eric Cantor set off his "gaydar.
Stewart also mentions the amazing, monstrous Cantor set, which is made by taking an interval and deleting the middle third, then deleting the middle third of the two remaining intervals, and so on, for ever.
It is generally accepted that the (presumably) non-contradictory Zermelo-Fraenkel set theory ZF with the axiom of choice is the most accurate and complete axiomatic representation of the core of Cantor set theory.
For r = 1/3 and probabilities 2/3, 1/3 we have a non-symmetric measure in a Cantor set contained in the unit interval.
Set A is the classical Cantor set less the number one and the left end points of the open intervals removed from [0,1] to form the Cantor set.
This configuration satisfies the first step of the classical triadic fractal Cantor set.
He starts with real numbers and limits, including descriptions of numbers and logic, infinity, sequences, subsequences, functions and limits and composition of functions, then moves to a complete description of topology, including the Cantor set and fractals, then covers interrelated issues of calculus including the Riemann Integral, the Lebesque Theory and power series.
He covers real numbers and limits, including the concepts of infinity and sequences, topology, including the Cantor set and fractals, and then progresses to calculus, including the Riemann integral, sequences of functions, power and Fourier series and the exponential function, closing with metric spaces, including Ascoli's theorem.
Analytical solutions of the telegraph and Laplace equations on Cantor sets involving local fractional derivatives are efficiently developed.
Pennsylvania) presents a textbook for advanced undergraduate mathematics students on Cantor sets that he says in not very formal but does take the form theorem/proof.
A brief consideration of Cantor sets provides a backdrop for discussion of several recent types of sets useful in image analysis.

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