We consider 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 ω-regular conditions as well as the corresponding finitary conditions. For cost-parity games we show that the first playe...

The discrete subgroup ∆(27) of SU(3) has some interesting properties which may be useful for understanding charged-lepton and neutrino mass matrices. Assigning leptons to the 3 and 3̄ representations of ∆(27), a simple form of the Majorana neutrino mass matrix is obtained and compared to present data. Since the introduction of the discrete symmetry A4 [1, 2] for understanding the family structur...

In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincaré’s theorem and to Korn’s inequality. 1 Weak versions of a classical theorem of Poincaré In this work, (the results of which were announced in [2]),...

PURPOSE Evidence suggests that inflammation may drive fatigue in cancer survivors. Research in healthy populations has shown reduced inflammation with higher dietary intake of ω-3 polyunsaturated fatty acids (PUFAs), which could potentially reduce fatigue. This study investigated fatigue, inflammation, and intake of ω-3 and ω-6 PUFAs among breast cancer survivors. METHODS Six hundred thirty-t...

lead belongs to the heavy metal group and is considered as an environmental contaminant. acute or chronic contact to lead can change the physiological function of human organs. one of the most important disorders following the lead exposure is neurotoxicity. lead neurotoxicity consists of the neurobehavioral disturbances like cognitive impairment. the aim of the current study is to evaluate the...

BACKGROUND Epidemiological data suggest that omega-6 (ω-6) fatty acids (FAs) may be associated with cancer incidence and/or cancer mortality, whereas ω-3 FAs are potentially protective. We examined the association of the ratio of ω-6 to ω-3 FA (ω-6:ω-3) and individual FA components with pathological results among men with prostate cancer (PCa) undergoing radical prostatectomy. METHODS Sixty-n...