A bstract We investigate the deformations and rigidity of boundary Heisenberg-like algebras. In particular, we focus on Heisenberg ⊕ $$ \mathfrak{witt} witt algebras which arise as symmetry in three-dimensional gravity theories. As a result deformation procedure find large class While some these are new...

background: there is much debate about effects of medicinal plants such as saffron (crocus sativus) on human health. women are highly involved in farming and processing of this plant. this study is aimed at evaluating the saffron impacts on miscarriage rate of female farmers working in saffron fields. methods: this was a prospective case-control study on pregnant female farmers during harvestin...

In this paper, we prove the strong uniform consistency and asymptotic normality of the kernel density estimator proposed by Jones [12] for length-biased data.The approach is based on the invariance principle for the empirical processes proved by Horváth [10]. All simulations are drawn for different cases to demonstrate both, consistency and asymptotic normality and the method is illustrated by ...

in this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $e=(bar{x}, bar{y})$ of the system of two difference equations of exponential form: begin{equation*} x_{n+1}=dfrac{a+e^{-(bx_n+cy_n)}}{d+bx_n+cy_n}, y_{n+1}=dfrac{a+e^{-(by_n+cx_n)}}{d+...

II. Relaxation Time and the Deborah Number NB In what follows we use viscometric information from Note I ( Fluid Rheology). To determine the Deborah number for the axisymmetric contraction-expansion we need to select both a characteristic timescale for the flow and a representative measure of the spectrum of relaxation times of the fluid. A characteristic strain rate based on the local flow con...

Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost $Theta$- contraction mappings andto prove some best proximity point results for t...

We discuss some aspects of recent research as well as more general issues about motivation, useful methods and open problems in the field of cosmological singularities. In particular, we review some of the approaches to the general area and include discussions of the method of asymptotic splittings, singularity and completeness theorems and the use of the Bel-Robinson energy to prove completene...

In a one parameter family of dilaton gravity theories which allow the coupling of the dilaton to gravity and to a U(1) gauge field to differ, we have found the existence of everywhere regular spacetimes describing black holes hiding expanding universes inside their horizon.

For the multivariate one-sample location model (relating to a diagonally symmetric distribution). sequential non-parametric (point as well as interval) estimators based on appropriate rank statistics are considered and their asymptotic properties studied. In this context. asymptotic risk-efficiency of the proposed estimators and asymptotic normality of the associated stopping times are establis...