Throughout this work we deal with a natural number g ≥ 2 and with an algebraically closed field k whose characteristic differs from 2. A hyperelliptic curve of genus g over k is a smooth curve of genus g, that is a double cover of the projective line P. The Riemann-Hurwitz formula implies that this covering should be ramified at 2g + 2 points. Because of this explicit description, hyperelliptic...

In this article we apply signal detection theory to qualitatively unify the intensity justnoticable difference (JND) and masking data of Wegel and Lane (1924), Fletcher and Munson (1933 – 1938), Miller (1947), and Egan and Hake (1950). We do this by treating the loudness as the first moment, and the intensity JND as the second moment, of the random variable we call the single-trial loudness. Fr...

This study investigates a parameterization of all output-rectifying retrofit controllers for distributed design structured controller. It has been discovered that can be characterized as constrained Youla parameterization, which is difficult to solve analytically. For synthesis, tractable and insightful class controllers, referred introduced. An unconstrained derived under technical assumption ...