Point/circular asymptotes?

by evanghellidis
Tags: asymptotes, point or circular
evanghellidis is offline
Dec12-09, 05:26 AM
P: 24
Could an asymptote be defined as a point, or a circle? I assume it would be in a rather exotic topology, or a very trivial one. Furthermore, can we define each of these as the other's asymptote? The points would probably have to turn into lines(functions) by virtue of an extra dimension in that topology.

What I'm basically trying to figure out is how a generic attractive force, coupled with a generic mass-like property(i.e. the points can't overlap; passive repelling force) could be defined mathematically, without using vectors. I first thought of setting x,y as each other's limit(x->y and y->x), with x[tex]\neq[/tex]y, but that leads to x=y, due to the nature of the limit operation. With asymptotes, I'm guessing an infinity should show up.

Am I making any sort of sense?
Phys.Org News Partner Science news on Phys.org
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes

Register to reply

Related Discussions
Net displacement for a point on a circular saw Introductory Physics Homework 1
Function with two horizontal asymptotes and three vertical asymptotes Calculus & Beyond Homework 15
Kinetic Energy/Circular Motion and figuring out point charges Introductory Physics Homework 5
asymptotes Calculus & Beyond Homework 2
Determining if a given point is inside a right circular cylinder General Math 5