 Alternatively, if for some formula_10 we have formula_11 for "almost all" formula_12 then formula_28.Exactly in the same way one defines the essential infimum as the supremum of the "essential lower bounds", that is,

if the set of essential lower bounds is nonempty, and as formula_30 otherwise.On the real line consider the Lebesgue measure and its corresponding σ-algebra Σ.