We obtain general analytical forms for the solutions of the one-loop renormalization group equations in the top/bottom/τ sector of the MSSM. These solutions are valid for any value of tan β as well as any non-universal initial conditions for the soft SUSY breaking parameters and non-unification of the Yukawa couplings. We establish analytically a generic screening effect of non-universality, in...

in this paper we investigate decompositions of submodules in modules over a proufer domain into intersections of quasi-primary and classical quasi-primary submodules. in particular, existence and uniqueness of quasi-primary decompositions in modules over a proufer domain of finite character are proved. proufer domain; primary submodule; quasi-primary submodule; classical quasi-primary; decomposi...

The work investigates alternative capacitive sensing topologies for microelectromechanical systems, that simultaneously enable large quasi-stationary sensitivity, comparable to parallel-plates configuration, and large quality (Q) factor. In agreement with the model predictions, about 3-fold larger Q factor and 2-fold larger resonant sensitivity are obtained on the optimized geometry. © 2015 The...

A semi-analytical method is proposed to calculate stochastic quasi-periodic responses of limit cycles in non-equilibrium dynamical systems excited by periodic forces and weak random fluctuations, approximately. First, a kind of 1/N-stroboscopic map is introduced to discretize the quasi-periodic torus into closed curves, which are then approximated by periodic points. Using a stochastic sensitiv...

A class of biped locomotion called Passive Dynamic Walking (PDW) has been recognized to be efficient in energy consumption and a key to understand human walking. Although PDW is sensitive to the initial condition and disturbances, studies of Quasi-PDW which incorporates supplemental actuators have been reported to overcome this sensitivity. In this article, we propose a reinforcement learning m...