The number of solutions to a2+b2=c2+d2≤x in integers is a well-known result, while if one restricts all the variables primes Erdős [4] showed that only diagonal solutions, namely, ones with {a,b}={c,d} contribute main term, hence there paucity off-diagonal solutions. Daniel [3] considered case a,c being prime and proved term has both non-diagonal contributions. Here we investigate remaining cas...

In this study, a morpho-pragmatic analysis of broken plural in the Glorious Quran is tackled to answer question whether types can be replaced without affecting meaning, and achieve aim that these various forms are utilized thoughtfully creatively never used randomly. Accordingly, it hypothesized present study multi selected sensibly they function way leads reader scene wider conceptual view con...

Presenter: Vasileios Tsagkalidis MD | University of Rochester Background: Hepatic epithelioid hemangioendothelioma (HEH) is a rare vascular tumor unknown etiology and unpredictable natural history. To date, no large-scale studies have been published evaluating this disease due its occurrence. We aimed to use nation-wide, population-based database examine the population characteristics treatment...