On the Hyperplanes of the Taylor-Steinbuch Linear Separator

A Boolean function of n variables f(x1, x2, . . . , xn) is a k-thresh-old F/T/ . . . function1 if there exist a set of real numbers {w1, w2, . . . , wn}, called the weights, and a sequence of monotonically increasing real numbers {t1, t2, . . . , tk}, called the thresholds, which are such that