purpose: regarding the high prevalence of low back pain in various communities and the need to determine an appropriate treatment plan for these patients, examining their functional limitation and disability level is of utmost importance. in this regard, one of the important indicators is lumbar range of motion. measurement of the range of motion is a common and appropriate method for determini...

Although unavailability and failure frequency are both important reliability measures for designing telecommunications networks, having two different reliability measures causes difficulties when their evaluation results contradict each other. To overcome these difficulties, I propose an approach to determining a single reliability measure to be used. I focus on market share, which is a very im...

In this paper we introduce the idea of using a reliability measure associated to the predictions made by recommender systems based on collaborative filtering. This reliability measure is based on the usual notion that the more reliable a prediction, the less liable to be wrong. Here we will define a general reliability measure suitable for any arbitrary recommender system. We will also show a m...

In this paper, we propose a new network reliability measure for some particular kind of service networks, which we refer to as domination reliability. We relate this new reliability measure to the domination polynomial of a graph and the coverage probability of a hypergraph. We derive explicit and recursive formulæ for domination reliability and its associated domination reliability polynomial,...