We study the number of values taken by sums $\sum_{i=u}^{v-1} a_i$, where $a_1,a_2,\dots,a_n$ is a permutation $1,2,\dots,n$ and $1 \leq u < v n+1$. In particular, we show that for random choice permutation, with high probability there are $(\frac{1+e^{-2}}{4} +o(1)) n^2$ such sums. This answers an old question Erdős Harzheim. also obtain non-trivial bounds on maximum possible distinct sums, ra...

AIMS To investigate factors that may contribute to performance adaptation during permanent night work. METHODS Fifteen healthy subjects participated in an adaptation and baseline night sleep, directly followed by seven simulated eight-hour night shifts (2300 to 0700 hours). At the end of each shift they were taken outside and exposed to natural light for 20 minutes. They then slept from appro...

A cyber-physical system (CPS) usually contains multiple control loops, each responsible for controlling different physical subprocesses, that run simultaneously upon a shared platform. The foremost design goal for CPSes is to guarantee system stability and control quality with limited cyber resources. We show, via an in-depth case study, that two inter-related design parameters — sampling perio...

introduction: feedback cards are recommended as a feasible tool for structured written feedback delivery in clinical education while effectiveness of this tool on the medical students’ performance is still questionable. the purpose of this study was to compare the effects of structured written feedback by cards as well as verbal feedback versus verbal feedback alone on the clinical performance ...

STUDY OBJECTIVE We obtain preliminary information on the neuropsychological performance of house officers at the beginning and end of a shift while they worked consecutive night shifts in the emergency department. METHODS We prospectively studied interns working 12-hour consecutive night shifts in an urban Level I trauma center ED. All consecutive non-emergency medicine interns rotating for 1...