We show spherical completeness of the ring of Colombeau generalized real numbers endowed with the sharp norm. As an application, we establish a Hahn-Banach extension theorem for ultra-pseudo-normed modules of generalized functions in the sense of Colombeau.

organization of living environment is possible through a clear definition of private and public arenas and determinationof a spatial hierarchy. such defined arenas increase the sense of belonging to the environment which personalizesresidential environments. enclosure is among the quantities that play a significant role in defining the spaces. in fact,enclosure is the factor that defines a spac...

abstract background: inadequate dialysis is one of the main causes of mortality of the patients undergoing hemodialysis. the methods that lead to improvement of dialysis adequacy in these patients are of great importance due to them causing an improvement of quality of life. as numerous factors can play a role in improvement of dialysis adequacy, the present study aimed to investigate the level...

‎ introduction: controversial results have been reported about the effect of morphine and stress on learning and spatial memory in rodents. there are very few studies about the effects of ultra low doses of morphine on memory. in this study, effects of acute administration of low and usual doses of morphine on memory formation and retention in the presence and absence of repeated stress were in...

Since the collapse of the Soviet Union, the memory of World War II has been used in state-led nation-building processes of post-Soviet countries to foster a sense of national belonging. This paper provides an insight into the offi cial discourse of World War II in Russia and Ukraine by concentrating on a comparative analysis of World War II representations in Russian and Ukrainian school histor...