This math text explains the origins and underlying assumptions of the

Cantor set, an ordered abelian group.

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."

where F is a

Cantor set, [H.sub.[alpha]](x) is the a dimensional Hausdorff measure, [sub.0] [I.sup.([alpha]).sub.x] (x) is the local fractional integral operator [24-30], and [GAMMA](x) is the Gamma function.

This function, related to the standard

Cantor set, finds applications in areas like wave-particle interactions [2], crystal growth [3], and mode locking of the 3D coherent states in high-Q laser cavities [4].

To realize this fact, we attempt to check the case of the

Cantor set; see Figure 1 [8, 9].

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 every r [member of] (0, 1/2) the ICBM [[micro].sub.r] is singular and its spectrum is a

Cantor set. For r = 1/2 we get Lebesgue distribution and Legendre polynomials.

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. Other first-step dividing methods also can be performed.