Interval, open
From Encyclopedia of Mathematics
open segment
The set of points contained in between two given constants 
and 
, i.e. satisfying the condition 
. An open interval does not contain the end points, and is denoted by 
, as distinct from the (closed) segment 
(a closed interval), which contains the end points, i.e. consists of the points 
, 
.
Comments
See also Interval, closed; Interval and segment.
Many authors use the (increasingly popular) alternative 
to denote the open interval 
.
How to Cite This Entry:
Interval, open. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Interval,_open&oldid=31443
Interval, open. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Interval,_open&oldid=31443
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article