Before revision: \Re{R} \eps{\varepsilon} \Net{S} \tldO{{O}} \body{C} We revisit the problem of building weak -nets for convex ranges over a point set in \Re^d. Unfortunately, the known constructions of weak -nets yields sets that are of size \Omega( ^{-d e^{c d^2} ) } , where c is some constant.
After revision: \Re{R} \eps{\varepsilon} \Net{S} \tldO{{O}} \body{C} We revisit the problem of building weak  -nets yields sets that are of size \Omega( ^{-d e^{c d^2} ) } , where c is some constant.