Stable Numerics Subroutine Library
Programming Reference Manual
Version 1.2 DD-00006-012

3.1.2 Empty Interval

An empty interval X =∅ for X ∈IR is defined as a singleton where

       -
X ={x= x= ∅}= ∅

where ∅̸∈ R. Hence no arithmetic can be performed on an empty interval. On a computer ∅ is represented by qNaNs (Quiet-Not-a-Number) hence causing any arithmetic to yield further qNaNs.