Search

Weaving frames have potential applications in wireless sensor networks that require distributed processing of signals under different frames. In this paper, we study some new properties of weaving generalized frames (or g-frames) and weaving generalized orthonormal bases (or g-orthonormal bases). It is shown that a g-frame and its dual g-frame are woven. The inter-relation of optimal g-frame bounds and optimal universal g-frame bounds is studied. Further, we present a characterization of weaving g-frames. Illustrations are given to show the difference in properties of weaving generalized Riesz bases and weaving Riesz bases. [ABSTRACT FROM AUTHOR]

Common cause failures actuate simultaneous failure in the components of system and can incredibly reduce the reliability of the system. So the evaluation of common cause failure rates and its effect on system reliability is very much significant. When common cause failures are considered, failure rate of the components are not independent. The influence of common cause failure (CCF) to system reliability has motivated to consider common cause failures in reliability redundancy allocation problem. So, a novel multi-objective reliability redundancy allocation problem is formulated here with the objectives of maximizing system reliability and minimizing system cost in the presence of common cause failures. In this article, two types of common causes are highlighted, namely fatal and non-fatal CCFs, in addition to random failures. These types of failures lead to simultaneous failure of multiple components because of a common cause. An attempt has been made for the first time to solve the multi-objective optimization problem using two meta-heuristic algorithms which gives the Pareto optimal solution. Since the rapid advancements in Science and Technology encouraged the researchers for the optimal design of complex systems considering different environmental situations, two numerical evidences based on complex systems has been considered here. The results indicate the reduction of optimal redundancy with two types of CCF when compared to random failure alone. [ABSTRACT FROM AUTHOR]

The soft chemical synthesis of self-assembled magnesium hydroxide (Mg(OH)) nanoplatelets with surface area as high as about 300 m g was achieved in the present work. The nanopowders such as MH, MH, MH were synthesized at ~30 °C without using any catalyst or surfactant using, respectively, precursor solutions of Mg(NO), MgCl, MgBr and characterized by XRD, BET surface area, BJH pore size analysis, FTIR, FE-SEM, TEM and EDX techniques. It was found that the MH and MH nanopowders comprised of nanoflowers formed by self-assembly of nanoplatelets and porous nanoplatelets, while the MH nanopowders comprised of a random assembly of nanocapsules. The powders possessed the technologically important quality of reproducible CO adsorption at room temperature and its desorption at a relatively lower temperature of 75 °C. Based on the experimental evidences, the mechanisms of various microstructure formations and CO adsorption mechanism were also proposed. [ABSTRACT FROM AUTHOR]