From the Maclaurin expansion of a function f̄(p) of the Laplace transform operator p, rational function approximations to f̄(p) are generated by means of a new nonlinear sequence to sequence ...

Rational design is an oft-touted dream in materials science. The discovery of two new classes of photonic bandgap crystals may herald the systematic mathematical design of new materials. It is ...

A procedure is presented for obtaining rational approximations of the inverse Laplace transform. The procedure utilizes a series expansion, in powers of the transform parameter, used in conjunction ...

Peptoids, or n-substitued glycines, are complex and diverse oligomeric structures which have been explored for a number of biomimetic applications including drug delivery, surfactants, and catalysts.

Adaptive Fourier Decomposition and Rational Approximation Techniques represent a significant evolution in the analysis and reconstruction of signals and functions. These methods extend classical ...