New squalene receptors bearing open-chain polyether ligands (SQ-diEG, SQ-triEG, SQ-tetraEG) were synthesised. The stoichiometries and association constants (Ka) for the interactions between these representative alkaline earth metal ions (Mg2+, Ca2+, Ba2+) determined in solution. Fluorescence spectral studies revealed that self-associate with critical vesicle concentrations at 25 °C of 2.2 × 10−...

Let sq be the sum-of-digits function in base q, q � 2. If t is a positive integer, we denote by tR the unique integer that is obtained from t by reversing the order of the digits of the proper representation of t in base q. In this work we prove that for all α ∈ R and all positive integers t the correlation measure γ(α, t) = lim x→∞ 1 x � n<x e2πiα(sq(n+t)−sq(n)) satisfies γ(α, t) = γ(α, tR). F...

Let S ⊂ R be compact with #S = ∞ and let C(S) be the set of all real continuous functions on S. We ask for an algebraic polynomial sequence (Pn) ∞ n=0 with deg Pn = n such that every f ∈ C(S) has a unique representation f = ∑∞ i=0 αiPi and call such a basis Faber basis. In the special case of S = Sq = {qk; k ∈ N0} ∪ {0}, 0 < q < 1, we prove the existence of such a basis. A special orthonormal F...

background: poor sleep quality (sq) is common among patients after coronary artery bypass graft surgery (cabg). this study attempted to determine the status of sq following an intervention based on the precede-proceed model in patients with poor sq after cabg. methods: this study was a randomized clinical trial. the study sample, including 100 patients referred to the cardiac rehabilitation cli...

BACKGROUND Self-quantification (SQ) is a way of working in which, by using tracking tools, people aim to collect, manage, and reflect on personal health data to gain a better understanding of their own body, health behavior, and interaction with the world around them. However, health SQ lacks a formal framework for describing the self-quantifiers' activities and their contextual components or c...

This paper discusses the reliability of operation of an on-line computer system described by a semi-Markov process model. Analytical solutions are obtained by using computer-aided algebraic manipulation techniques. This paper demonstrates that the difficulties of obtaining analytical solutions to Markov processes by standard techniques can be considerably reduced by the application of algebraic...