VINICIUS, CANTOR DO SUBMUNDO

Vinicius Tavares Petrucci

Modern software applications are increasingly being deployed in highly dynamic computing environments, leading to frequent changes in their execution environment, such as workload variation, changing resource availability, and component faults. In order to e ectively cope with dynamic scenarios and take advantage of available resources, applications need to be able to adapt their con guration d...

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

The Cantor Set

Analysis is the science of measure and optimization. As a collection of mathematical fields, it contains real and complex analysis, functional analysis, harmonic analysis and calculus of variations. Analysis has relations to calculus, geometry, topology, probability theory and dynamics. We will focus mostly on ”the geometry of fractals” today. Examples are Julia sets which belong to the subfiel...