abstract             the aim of this study was to evaluate the effect of ajowan essential oils (aeo) on rumen fermentation using in vitro gas production. therefore, different doses of aeo (i.e., 0, 150, 300, 450 or 600 ppm) were added to the syringes of the gas production. a typical diet of growing lambs was used as fermentation substrate.  at the first step, the gas production syringes were in...

We demonstrate that the quasi-equilibrium state in a self-gravitating N-body system after cold collapse is uniquely characterized by the local virial relation using numerical simulations. Conversely, assuming the constant local virial ratio and Jeans equation for a spherically steady-state system, we investigate the full solution space of the problem under the constant anisotropy parameter and ...

We propose a likelihood function endowed with a penalisation that reduces the bias of the maximum likelihood estimator in regular parametric models. The penalisation hinges on the first two derivatives of the log likelihood and can be computed numerically. The asymptotic properties and the sensitivity to nuisance parameters of the penalised likelihood and derived quantities are addressed. In mo...

The external profile is among the first examined shape parameters of digital search trees in connection with the performance of unsuccessful search of a random query in the early 1970s. However, finer and important properties beyond the mean such as the variance and the limit law have remained unknown. In this extended abstract, we describe the first results for the asymptotic variance and the ...

Abstract We consider the Cauchy-type problem associated to time fractional partial differential equation: $$\begin{aligned} {\left\{ \begin{array}{ll} \partial _t u+\partial _t^{\beta }u-\varDelta u=g(t,x), &amp;{} t&gt;0, \ x\in {\mathbb {R}}^n \\ u(0,x)=u_0(x), \end{array}\right. } \end{aligned}$$ <mml...