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...

the stochastic outcomes and phenomenon of climate are the reason to use probability sciences in climatology. interactions of most of climatic phenomenon as well as justify them are very acceptable based on probability technique. accordingly it is useful in environmental management and planning. a conditional probability is the probability of an event given that another event has occurred e.g. l...

  Ionizing radiation has long been known to produce detrimental biological effects. Although these harmful effects are the results of high doses of exposure, some other maladies such as mutation and cancer seems  to be induced at low doses of exposure. In recent decades, however, some pioneer scientists have indicated that ionizing radiation like many other essential agents has toxic effects  ...

Nowadays, the human race is becoming more sensitive to the changes in the environment. This sensitivity may result in triggering a number of diseases, including Raynaud’s disease, which constitutes a change in the vascular functions of the human body. Conferring to the facts and figures of Raynaud, every 5 out of 100 Americans suffer from this disease. On the other hand, merely 1 out of 5 pursu...