12One may think of simple examples like the transition in MOSFET drain currents when going from
subthreshold to strong inversion by varying the gate potential, or of the current through a series connection of a
resistor and a diode, when driven by a varying voltage source. When evaluating
(wijkyj,k-1) for large positive
values of wijk, one indeed obtains highly nonlinear exponential “diode-like” behaviour as a function of yj,k-1 for
yj,k-1 ≪ 0 or yj,k-1 ≫ 0 (not counting a fixed offset of size 1 in the latter case). However, at the same time
one obtains an undesirable very steep transition around yj,k-1 = 0, approaching a discontinuity for
wijk →∞.