Empty Interval

3.4.1 Empty Interval

An empty Kaucher interval $X = ∅$ for $X ∈ KR$ is defined as:

X = {[x,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.

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