Determining continuity of regions/curves from inequalities
- To: mathgroup at smc.vnet.net
- Subject: [mg67216] Determining continuity of regions/curves from inequalities
- From: "Bonny Banerjee" <banerjee at cse.ohio-state.edu>
- Date: Tue, 13 Jun 2006 01:06:59 -0400 (EDT)
- Organization: Ohio State University
- Sender: owner-wri-mathgroup at wolfram.com
Is there an easy way in Mathematica to determine whether the region or curve
formed by a system of inequalities is continuous or not?
For example, the output of some function (e.g. Reduce) might be as follows:
x>2 && y>0
which forms a continuous region. Again, the following output
(x<2 && y<0) || (x>2 && y>0)
is not continuous. Similarly, for curves.
Given such a system of inequalities, how to determine whether the
region/curve it forms is continuous or not? Or in other words, if I pick any
two random points, say P1 and P2, lying on the output curve/region, does
there exist a continuous path lying entirely within the output curve/region
from P1 to P2?
Any help will be appreciated.
Prev by Date:
Re: List manipulation question
Next by Date:
RE: Reordering limits for Plot3D
Previous by thread:
Re: Why does Reduce work this way ...?
Next by thread:
Re: Determining continuity of regions/curves from inequalities