In Demography and modelling mortality (or failure) data the univariate Makeham-Gompertz is well-known for its extension of exponential distribution. Here, a bivariate class of Gompertz--Makeham distribution is constructed based on random number of extremal events. Some reliability properties such as ageing intensity, stress-strength based on competing risks are given. Also dependence properties...

phase inversion in liquid-liquid dispersions corresponds to the transitional boundary between oil-in-aqueous dispersion and aqueous-in-oil dispersion. a theoretical model based on simple assumptions was proposed to predict phase inversion point, ambivalence region and the hysteresis effect of inversion. experimental data from the literature were used to validate the model and results were compa...

a rare case of non-puerperal uterine inversion caused by a large fundal leiomyoma in a 39-year nulliparous, infertile woman resulting in intractable hemorrhage was reported after a myomectomy. attempts to reduce the inversion vaginally by transecting the anterior and posterior cervix were unsuccessful and a laparotomy was performed. the inversion was not successfully corrected and hysterectomy ...

The hydrolysis of cellulose is the bottleneck in cellulosic ethanol production. The cellobiohydrolase CelS from Clostridium thermocellum catalyzes the hydrolysis of cello-oligosaccharides via inversion of the anomeric carbon. Here, to examine key features of the CelS-catalyzed reaction, QM/MM (SCCDFTB/MM) simulations are performed. The calculated free energy profile for the reaction possesses a...

The potential energy surfaces for the reaction between H2O and the protonated alcohols MeOH2+, EtOH2+, PriOH2+, and Bu(t)OH2+ have been explored by means of high level ab initio theoretical methods. Both nucleophilic substitution (SN2) and elimination (E2) pathways have been investigated. Front side (SNF) and the familiar back side (SNB) Walden inversion attack of the nucleophile have been foun...

A semi-analytical investigation has been carried out to analyze unsteady MHD second-grade flow under the Dual-Phase-Lag (DPL) heat and mass transfer model in a vertical microchannel filled with porous material. Diffusion thermo (Dufour) effects and homogenous chemical reaction are considered as well. The governing partial differential equations are solved by using the Laplace transform method w...

The matrix inversion plays a signifcant role in engineering and sciences. Any nonsingular square matrix has a unique inverse which can readily be evaluated via numerical techniques such as direct methods, decomposition scheme, iterative methods, etc. In this research article, first of all an algorithm which has fourth order rate of convergency with conditional stability will be proposed. ...

Lateral ankle inversion sprains occur frequently in sports that mostly concern young, physically active individuals. It constitutes between 15%-75% of all sports-related injuries, and mainly occurs in high-risk sports like team handball, basketball, soccer, or volleyball. Although the majority of patients recover completely after their first acute injury, disabling symptoms of pain and swelling...

The title compound, C(12)H(14)O(6), was prepared by the Williamson reaction of 1,4-dihydroxy-benzene and methyl chloro-acetate with phase-transfer catalysis. The compound lies on an inversion center. The structure is stabilized by weak C-H⋯π inter-actions.

A dimeric α-silylated ethyllithium compound is presented featuring stereogenic metalated carbon centres with defined configurations. It can be generated by diastereoselective deprotonation of the corresponding ethylsilane. Reaction with Me(3)SnCl proceeds under inversion and the transfer of the stereoinformation is possible with dr's of up to 97:3.