Let k be a field of characteristic $$p>0$$ . Denote by $$\mathbf {W}_r(k)$$ the ring truntacted Witt vectors length $$r \ge 2$$ , built out k. In this text, we consider following question, depending on given profinite group G. Q(G): Does every (continuous) representation $$G\longrightarrow \mathrm {GL}_d(k)$$ lift to {GL}_d(\mathbf {W}_r(k))$$ ? We work in class cyclotomic pairs (Definition 4.3...

Background: Setting up an in vitro follicle culture system that resembles in vivo ovary condition has high value in research. Additionally, expression evaluation of folliculogenesis involved genes could lead us to the designing of better culture system. Materials and Methods: ovaries of 12-day-old female NMRI mice were removed, 100-130 μm pre-antral follicles were mechanically isolated from fre...

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...

Fuzzy control systems have had various applications in a wide range of science and engineering in recent years. Since an unstable control system is typically useless and potentially dangerous, stability is the most important requirement for any control system (including fuzzy control system). Conceptually, there are two types of stability for control systems: Lyapunov stability (a special case ...

many simulation algorithms (chemical reaction systems, differential systems arising from the modeling of transient behavior in the process industries and etc.) contain the numerical solution of systems of differential equations. for the efficient solution of the above mentioned problems, linear multistep methods or runge-kutta technique are used. for the simulation of chemical procedures the ra...