... combinatorialchemistry and the design of pharmaceutical compounds, coding theory and reliability theory, and computational biology, to name a few. Moreover, these algorithms can yieldsupplementary information about ... G(x)+xSB(x)+xBg(x).(41)Many of the terms of the system are already known, and as a consequence the equa-tions for A a,b(x), B a, b(x), A r(x), and Br(x) are linear. Once these series have been ob-tained, all the ... +(1) a S⊕ A +(1) a A⊕g.Finally, by taking the commutative image of the equations of the system obtained in(31), (32), (33), and (34), we have a system of functional equations and we can...