An interval order is a partially ordered set 
that is isomorphic
to some set of intervals on the real
line ordered by left-to-right precedence. Formally, 
is an interval order when each 
is assigned an interval ![[x_L,x_R]](/images/equations/IntervalOrder/Inline4.svg)
such that 
in the real numbers iff 
in 
.
An interval order that admits a representation by closed intervals all of length 1 is a unit interval order.
