Himpunan Cantor 1/2m-1 yang Diperumum

The Cantor Set 1

The articles [10], [4], [12], [11], [7], [13], [2], [3], [6], [8], [5], [1], and [9] provide the notation and terminology for this paper. Let Y be a set and let x be a non empty set. Note that Y 7−→ x is non-empty. Let X be a set and let A be a family of subsets of X . The functor UniCl(A) yields a family of subsets of X and is defined as follows: (Def. 1) For every subset x of X holds x ∈ UniC...

Yang - Mills Theory Soluble ? 1

The superconformal properties of N = 4 Yang-Mills theory are most naturally studied using the formalism of harmonic superspace. Superconformal invariance is shown to imply that the Green's functions of analytic operators are invariant holomorphic sections of a line bundle on a product of certain harmonic superspaces and it is argued that the theory is soluble for a class of such operators.

Cantor knots

A technique based on Cantor division is used to embellish artistic knotwork designs. Weaving rules are relaxed to allow a mostly alternating weave to be applied to the resulting patterns. The new method is compared to traditional knotwork, and the generation of examples is discussed. r 2005 Elsevier Ltd. All rights reserved.

Cantor sets

This paper deals with questions of how many compact subsets of certain kinds it takes to cover the space ω of irrationals, or certain of its subspaces. In particular, given f ∈ (ω\{0}), we consider compact sets of the form Q i∈ω Bi, where |Bi| = f(i) for all, or for infinitely many, i. We also consider “n-splitting” compact sets, i.e., compact sets K such that for any f ∈ K and i ∈ ω, |{g(i) : ...

Cantor goes