On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals

by formulae of the form ~'iwi/(x,1 . . . . . xi~ ). He points out tha t the efficiency of such an integration formula m a y be gauged by considering how it fares when [(x 1 . . . . . xk) is the indicator-function of the hyperbrick defined by an arbi t rary point A~= (A 1 . . . . . Ak) in the unit hypercube lI*. The value of the integral (t) would then be the volume V = A I A 2 . . . A k of the corresponding hyper-brick. He uses the efficiency criterion