Abstract We present the concept of cotorsion pairs cut along subcategories an abelian category. This provides a generalization complete pairs, and represents general framework to find approximations restricted certain subcategories. also exhibit some connections between Auslander–Buchweitz approximation theory, by considering relative analogs for Frobenius contexts. Several applications are giv...

The effectiveness of slicing in cutting soft solids (i.e., transverse motion along the blade) is natural to anyone with even slightest kitchen experience, but underlying mechanism remains intriguing. This study seeks unveil mystic role by looking into effect friction materials. With increase indentation depth, nonlinearity large deformation superficial layer diverts lateral stress from compress...

This Iranian team collected data of newly diagnosed cancer cases in the Golestan province of Iran in a 5 year period from 2004 to 2008. This area previously had one of the highest oesophageal cancer rates in the world. 9007 new cancer cases were reported from 68 healthcare centres in the province and the death registry. 71% of cases had microscopic verification. Incidences were reported as age-...

This paper presents a light-weight sweeping method, similar to SATand BDD-sweeping. Performance are on the order of 10x to 100x faster than SAT-sweeping for large designs, while achieving about 50-90% of the reductions.

It is shown that there exists a positive c so that for any large integer m, any graph with 2m 2 edges contains a bipartite subgraph with at least m 2 + m/2 + c √ m edges. This is tight up to the constant c and settles a problem of Erd˝ os. It is also proved that any triangle-free graph with e > 1 edges contains a bipartite subgraph with at least e 2 + c e 4/5 edges for some absolute positive co...

This article reviewed recent studies investigating the risk of developing inflammatory bowel disease (IBD)-associated CRC, a major potential complication of IBD. In patients with ulcerative colitis (UC) the risk of CRC increases with a younger age of diagnosis (age 0-19 years), longerdisease duration and concomitant primary sclerosing cholangitis. Of note, an underlying genetic predisposition i...