Prior to the statistical analysis, linearly computed transfer functions were corrected for nonlinear effects, yielding two sets of transfer functions valid for different wave amplitudes.
This approach is suitable for distributed parameter systems in order to reformulate their partial differential equation description as sets of transfer functions.
Let { P n } n ≥ 0 and { Q n } n ≥ 0 be two σ-Appell polynomial sets of transfer power series, respectively, A 1 and A 2. Then Q n ( x ) = ∑ m = 0 n n ! m !
Basing on the experimental data (the first state occupancy) which can be approximated by an exponential expansion, the inverse problem was solved (for a given solution of differential equations the system parameters were found), and the sets of transfer rates (k ij ) were calculated for oxidation process at different modes of photoactivation of RC solution.
It appears that the different approaches detect largely non-overlapping sets of transfer events [ 18, 19].
The analyses identified overlapping but non-identical sets of transferred enzymes.
Finally, a given comparison of trees can produce multiple edit paths that suggest partially overlapping or non-overlapping sets of transfer partners.
Taken together, four lines of evidence, none individually strong, lead us to conclude that these three sets of transferred genes are probably the product of three separate transfer events.
Almost immediately, however, a new and expanding set of transfers was set up – but again defined as "NHS (health)" spending.
Exploiting the concept of extremal transfers allows us to obtain an exact characterization of the set of implementable allocation rules (the set of transfers is non-empty) and the set of allocation rules satisfying Revenue Equivalence (the extremal transfers coincide).
