Computability relative to a partial function f on the natural numbers can be formalized using notion of an oracle for this f. This generalized arbitrary combinatory algebras, yielding ‘adjoining algebra A’. A similar construction is known second-order functionals, but third-order case more difficult. In paper, we prove several results case. Given functional Φ A, show how construct A[Φ] where ‘c...

It is well-known that third-order dispersion (TOD) plays no role in the onset of modulation instability nonlinear Schrödinger (NLS) family systems. Here we demonstrate characteristics modulational can be dramatically altered by TOD two different systems, namely Wannier exciton mass a ZnCdSe/ZnSe semiconductor superlattice and pulse/beam propagation Kerr-like waveguide under non-slowly varying e...

Estimation of third-order statistics relies on the availability a huge amount data records, which can pose severe challenges collecting hardware in terms considerable storage costs, overwhelming energy consumption, and unaffordably high sampling rate especially when dealing with high-dimensional such as wideband signals. To overcome these challenges, this paper focuses reconstruction cumulants ...