eventually coincide

Let A and B be two nonempty sets of integers. We say that A and B eventually coincide if there is an integer C such that nA if and only if nB for all nC. In this case, we write AB, noting that the relationMathworldPlanetmath of eventually coinciding is clearly an equivalence relationMathworldPlanetmath. While a seemingly trivial notation, this turns out to be the “right” notion of of sets when dealing with asymptotic properties such as .


Title eventually coincide
Canonical name EventuallyCoincide
Date of creation 2013-03-22 15:09:30
Last modified on 2013-03-22 15:09:30
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 5
Author mathcam (2727)
Entry type Definition
Classification msc 11B13
Synonym eventually coinciding