The functioning of complex systems relies on subsystems (modules) that in turn are composed multiple units. In this paper, we focus modular might fail due to wear their units or environmental conditions (shocks). lifetimes the follow a phase-type distribution, while shocks Markovian Arrival Process. use Matrix-Analytic methods and bottom-up approach for constructing system generator is proposed...

Conventional methods of stenting require predilatation, which potentially increase vessel wall injury and cost of the procedure. In this study, the safety and efficacy of direct AVE-S7 (Medtronic-USA) stent placement were evaluated in 100 patients. Quantitative coronary angiography was performed at the baseline and post-stent. Clinical follow-up was done up to 9 months. In 100 patients (76 male...

The notion of $f$-derivations of UP-algebras is introduced, some useful examples are discussed, and related properties are investigated. Moreover, we show that the fixed set and the kernel of $f$-derivations are UP-subalgebras of UP-algebras,and also give examples to show that the two sets are not UP-ideals of UP-algebras in general.

An environmentally benign procedure for the synthesis of vicinal nitrohydrins via the regioselective ring opening reaction of epoxides with nitrite anion using silica-bound 3-{2-[poly(ethylene glycol)]ethyl}-substituted 1-methyl-1H-imidazol-3-ium bromide as an effective heterogeneous phase transfer catalyst was described. Short reaction time, high yield of products, simple work-up proc...

A variety of alcohols readily add to 3,4-dihydro-2H-pyran under solvent free conditions in the presence of catalytic amount of acidic ionic liquid [Et3N(CH2)4SO3H][OTs] to afford the corresponding tetrahydropyranyl ethers in good to excellent yields at room temperature. The use of this procedure allows easy separation of the desired products ...