‎We consider nonconvex vector optimization problems with variable ordering structures in Banach spaces‎. ‎Under certain boundedness and continuity properties we present necessary conditions for approximate solutions of these problems‎. ‎Using a generic approach to subdifferentials we derive necessary conditions for approximate minimizers and approximately minimal solutions of vector optimizatio...

Abstract We report a three-dimensional (3D) molecular orientation control of liquid crystal organic semiconductor (LC-OSC) based on the long-range ordering characteristic an LC material. To this end, synthetic LC-OSC molecule, MeOPh-BTBT-C8, with fluidic nematic (N) phase that is essential for alignment over large area and smectic E (SmE) showing high ordering, was prepared. A simple flipping s...

Multiset orderings are a key ingredient in certain termination techniques like the recursive path ordering and a variant of size-change termination. In order to integrate these techniques in a certifier for termination proofs, we have added them to the Isabelle Formalization of Rewriting. To this end, it was required to extend the existing formalization on multiset orderings towards a generaliz...

In the U.S.A., 70 percent of the manufactured cement and 43 percent of aggregates is used in Ready-Mixed Concrete (RMC) plants. So a material inventory control system is needed to form a consumption pattern for this material to optimize warehousing cost and ordering in RMC plants. Such a material inventory control system of batching plants could be applied as an approach for optimal estimation ...

The aim of the present work is to determine the influence of technologically produced boron surface layers on the friction parameters in the sliding pairs under mixed friction conditions. The current boronizing processes allow obtaining surface layers of high hardness and high resistance to corrosion and wear, with low brittleness and no tendencies towards cracking However, the operation charac...

most of the researches in the domain of fuzzy number comparisons serve the fuzzy number ordering purpose. for making a comparison between two fuzzy numbers, beyond the determination of their order, it is needed to derive the magnitude of their order. in line with this idea, the concept of inequality is no longer crisp however it becomes fuzzy in the sense of representing partial belonging or de...

Three-dimensional magnetic ordering transitions are studied theoretically in strongly anisotropic quantum magnets. An external magnetic field can drive quasi-one-dimensional subsystems with a spin gap into a gapless regime, thus inducing long-range three-dimensional magnetic ordering due to weak residual magnetic coupling between the subsystems. Compounds with higher spin degrees of freedom, su...