A closed interval corresponding to a finite portion of an infinite line. Line segments are generally labeled with
two letters corresponding to their endpoints, say and
,
and then written
.
The length of the line segment is indicated with a vinculum,
so the length of the line segment
would be written
.
Curiously, the number of points in a line segment is equal to that in an entire one-dimensional space (a line), and also to the
number of points in an -dimensional
space, as first recognized by Georg Cantor.