Applied Analysis

TL;DR: Magnusson expansion as discussed by the authors provides a power series expansion for the corresponding exponent and is sometimes referred to as Time-Dependent Exponential Perturbation Theory (TEPT).

TL;DR: In this article, the authors describe the observed ocean variability in terms of universal spectral relations that depend only on few mean flow parameters such as the first-mode Rossby radius of deformation.

TL;DR: The principal finding is that outage capacity, despite being an asymptotic quantity, is a sharp proxy for the finite-blocklength fundamental limits of slow-fading channels.

TL;DR: The mathematics of constant color matting is presented and proven to be unsolvable as generally practiced, and constraints on the general problem that lead to solutions are demonstrated, or at least significantly prune the search space of solutions.