For a scalar delay differential equation ẋ(t) + ∑m k=1 ak(t)x(hk(t)) = 0, hk(t) ≤ t, we obtain new explicit conditions for the existence of a positive solution. c © 2007 Elsevier Ltd. All rights reserved.

We shall establish two-side explicit inequalities, which are asymptotically sharp up to a constant factor, on the maximum value of |Hk(x)|e −x2/2, on the real axis, where Hk are the Hermite polynomials.

Zhang, Wenzheng, and Bruce C. Kone. NFB inhibits transcription of the H -K -ATPase 2-subunit gene: role of histone deacetylases. Am J Physiol Renal Physiol 283: F904–F911, 2002. First published July 9, 2002; 10.1152/ ajprenal.00156.2002.—The H -K -ATPase 2 (HK 2) gene plays a central role in potassium homeostasis, yet little is known about its transcriptional control. We recently demonstrated t...

Holt and Klee have recently shown that every (generic) LP orientation of the graph of a d-polytope satisfies a directed version of the d-connectivity property, i.e. there are d internally disjoint directed paths from a unique source to a unique sink. We introduce two new classes HK and HK* of oriented matroids (OMs) by enforcing this property and its dual interpretation in terms of line shellin...

High-potassium diets can improve vascular function, yet the effects of potassium supplementation on ischemic stroke have not been studied. We hypothesized that dietary potassium supplementation would reduce ischemic cerebral infarct size by reversing cerebral artery hypertrophy. Six-week-old male stroke-prone spontaneously hypertensive rats (SHRSP) were fed diets containing 0.79% potassium (LK)...

Drawing from overseas practices, namely the law in England & Wales (E&W) and United States (US), this article will critically discuss whether a higher standard of proof ‘clear convincing evidence (CCE) should be adopted non-criminal proceedings Hong Kong (HK), if so, what types cases. Consequently, because 'balance probabilities ("BOP") 'beyond reasonable doubt' ('BRD') standards have t...

A sensor histidine kinase (HK) and a cognate response regulator (RR) are protein elements of a two-component regulatory system, which are ubiquitously present in prokaryotes, fungi and plants. The system is involved in cellular signal transduction for homeostasis in response to sudden changes in the environment. HK is a single peptide consisting of three domains, i.e., a sensor, a dimerization/...

The concentrations of sodium, potassium, reduced glutathione (GSH) and free amino acids and Na-K-ATPase activity in erythrocytes were examined in 35 purebred Jindo dogs in Korea. The incidence of Jindo dogs with a high potassium concentration and high activity of Na-K-ATPase in erythrocytes (HK phenotype) was 25.7%. The erythrocyte GSH concentration in HK Jindo dogs varied widely, from 2.45 to ...

A 2-coloring of a hypergraph is a mapping from its vertices to a set of two colors such that no edge is monochromatic. Let Hk(n,m) be a random k-uniform hypergraph on n vertices formed by picking m edges uniformly, independently and with replacement. It is easy to show that if r ≥ rc = 2k−1 ln 2− (ln 2)/2, then with high probability Hk(n,m = rn) is not 2-colorable. We complement this observatio...