When this quantity is infinite, Vitali’s theorem states that the convergence of a sequence of functions implies the existence of uniformly absolutely continuous integrals. If A has a positive value for this quantity and an arbitrary subset B has a zero value (15[1])for this quantity, (15[1]10[1])then (15[1])A (15[1])is called an atom. (15[2])This quantity (15[1]-5[1])for a countable (15[1])union of sets is less than or equal (15[1])to the sum of this quantity (-5[1])over each individual set (-5[1])due to the (15[1])property (-5[1])of (*) subadditivity. (10[1]-5[2])Functions (-5[1])involving this quantity (-5[1])are defined over sigma-algebras. (10[2])It’s not cardinality, but this quantity is always zero for an empty set. (10[1]-5[2])For (10[1])any closed or open interval (10[1])from a to b, the Lebesgue form of this quantity (10[1]-5[1])is b minus (10[1])a. For 10 points, name this quantity (-5[1])that yields the “size” (-5[1])of a set, (-5[1])examples of which (10[1])include length, area, and volume. (0[2])■END■ (10[4]0[7])