Given a right LCM semigroup S $S$ and homomorphism N : → [ 1 , + ∞ ) $N\colon S\rightarrow [1,+\infty )$ we use the groupoid approach to study KMS β $_\beta$ -states on C ∗ ( $C^*(S)$ with respect dynamics induced by $N$ . We establish necessary sufficient conditions for existence uniqueness of -states. As an application, show that condition obtained so-called generalized scales is as well. Our...

Forthcoming experiments like Project8 and Ptolemy aim at investigating with high precision the end-point of tritium $\beta$-decay spectrum sensitive to neutrino mass. In light this, using standard parametrization in terms nuclear polar form factors, we analyze complete relativistic expression for $\beta$-electron emitted by a nucleus. Given small parameters problem, systematically discuss appro...

Previous studies have shown that nicotine can affect beta cell function and insulin secretion in cigarette smokers. The aim of present study was to evaluate the effect of 10 weeks aerobic exercise on insulin and beta cell function in smokers. In this semi-experimental study with pre and post-training design, a total of 36 adult smoker men aged 41±2.5 years were selected into either exerc...

Motivated by the $k$-digamma function, we introduce a $k$-extension of the Nielsen's $beta$-function, and further study some properties and inequalities of the new function.

background: the formalism recommended by task group 60 (tg-60) of the american association of physicists in medicine (aapm) is applicable for β sources. radioactive biocompatible and biodegradable 153sm glass seed without encapsulation is a β- emitter with a short half life and delivers a high dose rate to the tumor in the millimeter range. in this work the dosimetry parameters of the seed for ...