Definition:Interval/Ordered Set/Half-Open

Definition
Let $\struct {S, \preccurlyeq}$ be an ordered set.

Let $a, b \in S$.

Wirth Interval Notation
The notation used on this site to denote an interval of an ordered set $\struct {S, \preccurlyeq}$ is a fairly recent innovation, and was introduced by :

Also known as
A half-open interval can also be referred to as half-closed.

Also see

 * Definition:Open Interval
 * Definition:Closed Interval


 * Definition:Ray (Order Theory)