The partial fraction decomposition method is explored to establish several interesting trigonometric function identities, which may have applications to the evaluation of classical multiple hypergeometric series, trigonometric approximation and interpolation. 1. Outline and introduction Recently, in an attempt to prove, through the Cauchy residue method, Dougall’s theorem (Dougall [6, 1907], se...

Geometrical measurements of angiocardiograms of the common outflow tract (COT) of 13 patients were made to determine in which cases internal conduit repair was feasible, and under which conditions a patch enlargement of the COT was indicated. In the pulmonary stenosis (PS) group, the area of the narrowest cross-section of the COT was significantly smaller than that in the pulmonary hypertension...

The next wave of communication and applications rely on the new services provided by Internet of Things which is becoming an important aspect in human and machines future. The IoT services are a key solution for providing smart environments in homes, buildings and cities. In the era of a massive number of connected things and objects with a high grow rate, several challenges have been raised su...

BACKGROUND The effects of high flow nasal cannula (HFNC) on adult patients after extubation remain controversial. We aimed to further determine the effectiveness of HFNC in comparison to noninvasive positive pressure ventilation (NIPPV) and conventional oxygen therapy (COT). METHODS The Pubmed, Embase, Medline, Cochrane Central Register of Controlled Trails (CENTRAL) as well as the Informatio...

OBJECTIVES To monitor preterm infants in a cot and a car seat and compare an observed car seat trial with polysomnography (PSG). DESIGN Non-randomised controlled trial. SETTING Regional neonatal unit. PATIENTS Preterm infants before discharge. INTERVENTIONS Nap PSG respiratory and sleep variables were measured including gastro-oesophageal pH. Nurse observations included respiratory dist...

A mononuclear Er(III) sandwich type complex, [Li(DME)3][Er(III)(COT")2], was isolated using 1,4-bis(trimethylsilyl)cyclooctatetraenyl dianion (COT"). Remarkably, this low-symmetry complex exhibits magnet-like behavior of magnetic remanence and coercivity in the hysteresis loops up to 8 K with an energy barrier (Ueff) of 187(1) K, thus making this molecule a unique single-ion magnet.

Ruthenium nanoparticles (RuNPs) were prepared through the hydrogenation of [Ru(COD)(COT)] (COD = 1,5-cyclooctadiene, COT = 1,3,5-cyclooctatriene) in the presence of diphosphites derived from carbohydrates as stabilizing agents, and interestingly, structural modifications of the diphosphite backbone were found to influence nanoparticle size and dispersity, as well as their catalytic activity in ...