Let G be a finite group, p be a prime, k be an algebraically closed field of characteristic p. J. L. Alperin has conjectured that for any finite group G, # (isomorphism types of simple fcG-modules) = £ # (isomorphism types of projective simple A: (C) where the sum is taken over a set of representatives of the conjugacy classes of /7-subgroups of G. There is also a ' blockwise' version of this c...

Magnetorheological dampers have raised as promising devices for structural seismic protection since they have many attractive features such as small power requirements, reliability, and relatively low cost. These devices have strongly nonlinear behaviour which is very difficult to characterize. For this reason, the modelling of MR dampers has been an active field during the last years and has p...

Abstract—In this paper, an advanced Nonlinear Exponential Model (NEM), able to simulate the uniaxial dynamic behavior of seismic isolators having a continuously decreasing tangent stiffness with increasing displacement in the relatively large displacements range and a hardening or softening behavior at large displacements, is presented. The mathematical model is validated by comparing the exper...

We study the asymptotic behavior, as goes to 0, of a passive scalar T (x;t) solution of the following advection-diiusion equation: @T @t = 2 4T + 1 V (x; t 2) rT ; t > 0 T (x;0) = T0(x); x 2 IR d where is a strictly positive diiusion constant and fV (x; t); x 2 IR d ; t 0g is a mean zero homogeneous Gaussian eld. We assume that the covariance is of the form: IEfV (x; t)V (y; s)g = ?(x ? y) exp(...

Interventions causing genome modifications that can be passed on to descendants have been prohibited in France since 1994. New methods, such as CRISPR-Cas9, have been developed, raising questions about their potential use on human germline cells and embryos. The only acceptable medical indication would be to prevent the transmission of a disease gene to the child. However, the necessary conditi...

The paper presents the semi-active vibration control based on the Skyhook algorithm which benefits from the adaptively tuned inverse magnetorheological (MR) damper model. The structure of the inverse model consists of the atan function and a linear viscous damping component. The proposed algorithm was tested by simulation of the quarter-car suspension model subjected to multiple bump road excit...

The purpose of this paper is to present a new modified parametric algebraic model for MR damper in controlling the semi-active suspension system. Except for its accuracy, modified algebraic model is additionally more preferable in terms of its low computational expenses compared to differential modified Bouc-Wen’s model that is extremely computationally demanding. The control part consists of t...