We use divisor sums to approximate prime tuples and moments for primes in short intervals. By connecting these results to classical moment problems we are able to prove that, for any η > 0, a positive proportion of consecutive primes are within 4 + η times the average spacing between primes. Authors’ note. This paper was written in 2004, prior to the solution, in [8], of the problem considered ...

A 48-year-old woman presented at our hospital with acute abdominal pain 3 years after being diagnosed with thromboangiitis obliterans (TAO). Computed tomography revealed occlusion of the superior mesenteric artery (SMA) and multiple kidney infarction with thrombus floating in the thoracic aorta connected with the intercostal artery. Despite emergency embolectomy, further thromboembolism eventua...

BACKGROUND To describe an episode of thyroid associated orbitopathy (TAO) following the initiation of thiazolidinedione (TZD). CASE PRESENTATION We report a female patient with a history of Graves' disease and stabilised thyroid associated orbitopathy for 2.5 years, who experienced rapid progression of TAO after the initiation of thiazolidinedione for glycemic control. Following the discontin...

In this paper, we attempt to formalize a novel approach to the syncretic argumentation, which allows agents with different epistemology to engage in argumentation, taking into account the Golden Rule in the ethics of reciprocity and Confucius’ Golden Rule. We address this new argumentation framework in two ways. One is by introducing the lattice homomorphism on truth-values (epistemic states) o...