For x real, let { } $ \lbrace \rbrace$ be the fractional part of (that is, = − ⌊ ⌋ $\lbrace x\rbrace - \lfloor \rfloor$ ). The lonely runner conjecture can stated as follows: for any n positive integers v 1 < 2 ⋯ v_1 v_2 \dots v_n$ , there exists a real number t such that / ( + ) ⩽ i 1/(n+1) \leqslant v_i t\rbrace n/(n+1)$ 1, n$ . In this paper, we prove if ε > 0 \epsilon >0$ and is sufficientl...

PURPOSE OF THE STUDY Resources for Enhancing All Caregivers Health in the Department of Veterans Affairs (REACH VA) has been implemented in the VA system as a national program for caregivers. DESIGN AND METHODS We describe the trajectory of REACH VA from national randomized clinical trial through translation to national implementation. The implementation is examined through the six stages of ...

Given that the health of many immigrants declines after increasing years in their host countries and that there may be gender differences in these experiences, this exploratory study's main objective was twofold: a) assess the relationship between acculturative stress and negative health (ie both mental and physical) and b) determine if there were any gender differences in these stress-health r...

Most studies on the prevalence of back pain have evaluated it in developed countries (Human Development Index--HDI > 0.808), and their conclusions may not hold for developing countries. The aim of this study was to identify the prevalence of back pain in representative Brazilian athletes from public high schools. This cross-sectional study was performed during the state phase of the 2015 Jogos ...