Set Theorymedium
0:00.0

Let χS(x)\chi_S(x) denote the characteristic function of a set SS (where χS(x)=1\chi_S(x) = 1 if xSx \in S and 00 if xSx \notin S). If AA and BB are subsets of a universal set UU, which set YY is defined by the characteristic function χY(x)=χA(x)(1χB(x))\chi_Y(x) = \chi_A(x) \cdot (1 - \chi_B(x))?