Abstract Finsler’s geometry usually describes an extension of Riemmann’s into a direction-dependent geometric structure. Historically, the well-known Riemann’s quartic length element example served as inspiration for this construction. Surprisingly, covariant Fresnel equation—a fundamental dispersion relation in solid-state electrodynamics—emerges exact same expression. As result, expression ca...

the imperialist competitive algorithm (ica) that was recently introduced has shown its good performance in optimization problems. this algorithm is inspired by competition mechanism among imperialists and colonies, in contrast to evolutionary algorithms. this paper presents optimization of bead geometry in welding process using of ica. therefore, two case studies from literature are presented t...

the relative stability of hydrogen-bonded of molybdate-phosphonic acid (mpa) complex (1:2) ingas phase has been carried out using density functional theory (dft) methods. the methods are usedfor calculations are b3lyp, bp86 and b3pw91 that have been studied in two series of basis sets: d95**and 6-31+g(d,p) for hydrogen and oxygen atoms; lanl2dz for mo and phosphorus. predictedhydrogen-bond geom...