We investigate several kinds of regulated rewriting (matrix, ordered, programmed, and variants thereof) and of parallel rewriting mechanisms (Lindenmayer systems, uniformly limited Lindenmayer systems, limited Lindenmayer systems and scattered context grammars) as accepting devices, in contrast with the usual generating mode. In a lot of cases, accepting mode turns out to be exactly as powerful...

where E ranges among all sets of finite perimeter satisfying the constraint LN (E) = const., νE is the generalized inner normal to E and ∂∗E is the reduced boundary of E (see the definitions in Section 2). For an anisotropic function Γ, one of the first attempts to solve this problem is contained in a paper by G.Wulff [22] dating back to 1901. However, it was only in 1944 that A.Dinghas [9] pro...

We have presented a theoretical study of electrorotation assay based on the spectral representation theory. We consider unshelled and shelled spheroidal particles as an extension to spherical ones. From the theoretical analysis, we find that the coating can change the characteristic frequency at which the maximum rotational angular velocity occurs. The shift in the characteristic frequency is a...

In this paper, we study the notion of solvable $L$-subgroup of an $L$-group and provide its level subset characterization and this justifies the suitability of this extension. Throughout this work, we have used normality of an $L$-subgroup of an $L$-group in the sense of Wu rather than Liu.

in this paper we consider several generalizations of the skew t-normal distribution, and some of their properties. also, we represent several theorems for constructing each generalized skew t-normal distribution. next, we illustrate the application of the proposed distribution studying the ratio of two heavy metals, nickel and vanadium, associated with crude oil in shadgan wetland in the south-...