set-builder notation

— With this idea for describing a finite set of sets, it is easy to generalize the concept to a certain infinite family #92;mathcal#123;S#125;#95;2 of sets #92;mathcal#123;S#125;#95;2#61;#92;#123;A#95;i#92;verti#92;inN#92;#125;#61;#92;#123;A#95;1,A#95;2,A#95;3,#92;dots,A#95;n,#92;dots#92;#125;. Once again, the power of set builder notation triumphs. The sets #92;mathcal#123;S#125;#95;1 and #92;mathcal#123;S#125;#95;2 may be described more precisely with set builder notation than by enumeration.