(Note: because the average value of ln ⁡ ⁡ ( 1 / u ′ ′ ) is equal to unity, the same average time scale can be obtained by instead using Δ Δ t = Q k − − 1 in step 9. In this case, however, the delay associated with transition i will not be drawn from the Poisson distribution described by the rate Q k , but will instead be the mean of that distribution.)