‎Suppose $n$ is a fixed positive integer‎. ‎We introduce the relative n-th non-commuting graph $Gamma^{n} _{H,G}$‎, ‎associated to the non-abelian subgroup $H$ of group $G$‎. ‎The vertex set is $Gsetminus C^n_{H,G}$ in which $C^n_{H,G} = {xin G‎ : ‎[x,y^{n}]=1 mbox{~and~} [x^{n},y]=1mbox{~for~all~} yin H}$‎. ‎Moreover‎, ‎${x,y}$ is an edge if $x$ or $y$ belong to $H$ and $xy^{n}eq y^{n}x$ or $x...

Let $R$ be a non-commutative ring with unity. The commuting graph of $R$ denoted by $Gamma(R)$, is a graph with vertex set $RZ(R)$ and two vertices $a$ and $b$ are adjacent iff $ab=ba$. In this paper, we consider the commuting graph of non-commutative rings of order pq and $p^2q$ with Z(R) = 0 and non-commutative rings with unity of order $p^3q$. It is proved that $C_R(a)$ is a commutative ring...

BACKGROUND Walking or bicycling to school (ie, active commuting) has shown promise for improving physical activity and preventing obesity in youth. Our objectives were to examine, among US youth, whether active commuting was inversely associated with adiposity and positively associated with moderate-to-vigorous physical activity (MVPA). We also examined whether MVPA mediated the relationships b...

BACKGROUND The recent decline in children's active commuting (walking or biking) to school has become an important public health issue. Recent programs have promoted the positive effects of active commuting on physical activity (PA) and overweight. However, the evidence supporting such interventions among schoolchildren has not been previously evaluated. METHODS This article presents the resu...

This paper analyzes the relation between commuting time and specific health outcomes using the GSOEP and the BHPS. Both countries are in the top three of European countries in which commuting time is largest. First, we analyze whether commuting time affects specific health outcomes. We analyze both subjective health outcomes like health satisfaction and health status, and objective measures lik...

Do leaks of hydraulic fluids and jet engine lubricating oils cause potentially toxic fumes to be released into the cabins of commercial airliners? If so, do those fumes cause acute and chronic health problems such as headache, nausea, fatigue, memory loss, and neuromuscular damage in airline crew members and passengers? Those simple questions are at the heart of a brewing controversy. Advocacy ...

Introduction: During trips the imposed costs are aggravated due to time and financial limits, not being familiar with treatment centers that are covered by the insurances and charges for accommodation. Insurance, especially supplementary treatment services insurance can be an appropriate solution to decrease these costs. These kinds of insurances cover a range of services inclu...

In this paper, a common fixed point theorem for $psi$-weakly commuting maps in L-fuzzy metric spaces is proved.