The (generalised) torsion function u of a domain Ω ⊂ IR is a function which is zero on the boundary of the domain and whose Laplacian is minus one at every point in the interior of the domain. Denote by |Ω| the measure of Ω, xc its centroid. We establish, for convex Ω, 3 2(n+ 1)2 ≤ 1 (n + 1)2 |Ω| ∫ Ω u max Ω u ≤ |Ω|u(xc) ∫ Ω u ≤ |Ω| ∫ Ω u max Ω u ≤ 1 2 (n+ 1)(n+ 2). We generalise this to positi...

Oxidative stress, inflammation, and increased cholesterol levels are all mechanisms that have been associated with Alzheimer's disease (AD) pathology. Several epidemiologic studies have reported a decreased risk of AD with fish consumption. This pilot study was designed to evaluate the effects of supplementation with omega-3 fatty acids alone (ω-3) or omega-3 plus alpha lipoic acid (ω-3 + LA) c...

An ω-grammar is a formal grammar used to generateω-words (i.e. infinite length words), while an ω-automaton is an automaton used to recognize ω-words. This paper gives clean and uniform definitions for ω-grammars and ω-automata, provides a systematic study of the generative power of ω-grammars with respect to ω-automata, and presents a complete set of results for various types of ω-grammars and...

We study two-player games played on finite graphs equipped with costs on edges and introduce two winning conditions, cost-parity and cost-Streett, which require bounds on the cost between requests and their responses. Both conditions generalize the corresponding classical omega-regular conditions and the corresponding finitary conditions. For parity games with costs we show that the first playe...

Omega-3 (ω-3) fatty acids have been tested on prevention and treatment of several cancer types, but the efficacy on "in vivo" bladder cancer has not been analyzed yet. This study aimed at evaluating the chemopreventive efficacy of eicosapentaenoic acid (EPA) and docosahexaenoic acid (DHA) mixture in an animal model of bladder cancer. Forty-four male Wistar rats were divided into 4 groups during...

The levels of polyunsaturated fatty acids (PUFAs) in blood is closely associated with the status of the health of individuals; in particular, the lack of ω-3 fatty acids may lead to the development of numerous diseases. The aim of this study was to investigate the levels of PUFAs, and their correlation with triglycerides and other factors in blood. The levels of PUFAs and blood lipids were dete...