we study umbilic (space-like) submanifolds of pseudo-riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo euclidean space and relate this notion to umbilicity. finally we give characterization of total semi-umbilicity for space-like submanifolds contained in pseudo sphere or pseudo hyperbolic space or the light cone.a pseudo-riemannian submanifold m in (a ps...

A characterization study of chromite ore from South Africa was conducted using bulk assays, X-ray diffraction, optical, scanning electron microscopy (SEM), automated probe microanalysis (EPMA) and quantitative evaluation mineral by (QEMSCAN) mineralogical techniques, EPMA. The aim to identify all major gangue impurities, the degree liberation, possible beneficiation options. material assayed 40...

Introduction: In our series of experiments to determine the noble gases of phase Q in various classes of meteorites [1,2] we analysed the HF/HCl-resistant residue of an enstatite chondrite [3]. We have chosen the EH5 chondrite St. Mark’s because of its short cosmic-ray exposure age (~1Ma [4]) which is essential to reliably determine the He-Q and Ne-Q isotopic composition. E-chondrites might hav...

In this paper, we introduce the notion of hyper pseudo B C K - algebras, which is a generalization of pseudo BCK -algebras and hyper BCK -algebras and we investigates some related properties. In follow, we de ne some kinds of hyper pseudo BCK -ideals of a hyper pseudo BCK - algebra and we find the relations among them. Finally, we characterize the hyper pseudo BCK -ideals of type 4 generated by...