We study the planar central configurations of the 1 + n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2 ≤ n ≤ 4. Numerically, first we provide evidence that when n ≥ 9 the only central configuration is the regular n–gon with the large mass in its barycenter, and second we provide also evidence ...

Objectives: The prevalence of impacted teeth fluctuates across various ethnicities and geographical regions. The aim of the present study was to evaluate the prevalence and patterns of impacted teeth among patients living in the central part of Iran. Methods: This retrospective study was conducted on 3632 patients within the age group of 17-30 years. The frequency and pattern of the impaction w...

Let $G$ be a non-abelian group. The non-commuting graph $Gamma_G$ of $G$ is defined as the graph whose vertex set is the non-central elements of $G$ and two vertices are joined if and only if they do not commute.In this paper we study some properties of $Gamma_G$ and introduce $n$-regular $AC$-groups. Also we then obtain a formula for Szeged index of $Gamma_G$ in terms of $n$, $|Z(G)|$ and $|G|...

thalamic pain syndrome, a type of central post-stroke pain (cpsp), may develops after a hemorrhagic or ischemic stroke and results in impairment of the thalamus. there is limited experience about gabapentin in treatment of central pains like cpsp.in a prospective observational study, the intensity of pain was recorded using the numeric rating scale (nrs) at the entrance to the study. patients e...