Re: Remove a critical point and what happens

Posted by Haelfix on June 22, 2003 at 17:20:29:

In Reply to: Re: Remove a critical point and what happens posted by Mike2 on June 20, 2003 at 17:35:47:

Mmmm.. Kinda depends how you define 'critical point' as its one of the most overused terms in mathematics. Typically a critical point has vanishing 2nd derivatives in the local coordinate system, but it could be any number of different things relating to different fields.

A singularity comes in all shapes as well. You have functional singularities, manifold/metric singularities, topological singularities, so it depends what one is talking about.

In the case of say a functional singularity, it could be an infinity, or say, being defined on R and going imaginary.

Sometime its a relic of a bad choice of coordinate systems, sometimes its removable with residue theory, etc etc

(Sorry if this is a little vague, im kinda drunk)

(Report this post to the moderator)

Follow Ups: (Reload page to see most recent)

Post a Followup