We consider the asymmetric active coupler (AAC) consisting of two coupled dissimilar waveguides with gain and loss. We show that under generic conditions, not restricted by parity-time symmetry, there exist finite-power, ...

The ALEKS computer system, well-known on the American con- tinent as an individualized teaching tool and placement test into a series of high school and college level courses, was implemented by the Mathematics Department ...

It is not hard to prove that a uniformly continuous real function, whose integral up to infinity exists, vanishes at infinity, and it is probably little known that this statement runs under the name "Barbalat's lemma." In ...