arXiv:2603.26692v1 Announce Type: cross
Abstract: We introduce a new notion, that of a contextuality profile of a system. Rather than characterizing a system’s contextuality by a single number, its overall degree of contextuality, we show how it can be characterized by a curve relating degree of contextuality to level at which the system is considered,beginarrayc textnormallevel & 1 & cdots & n-1 & n>1 & n+1 & cdots & N\ hline textnormaldegree & 0 & cdots & 0 & d_n>0 & d_n+1geq d_n & cdots & d_Ngeq d_N-1 endarray,where N is the maximum number of variables per system’s context. A system is represented at level n if one only considers the joint distributions with kleq n variables, ignoring higher-order joint distributions. We show that the level-wise contextuality analysis can be used in conjunction with any well-constructed measure of contextuality. We present a method of concatenated systems to explore contextuality profiles systematically, and we apply it to the contextuality profiles for three major measures of contextuality proposed in the literature.
Identifying needs in adult rehabilitation to support the clinical implementation of robotics and allied technologies: an Italian national survey
IntroductionRobotics and technological interventions are increasingly being explored as solutions to improve rehabilitation outcomes but their implementation in clinical practice remains very limited. Understanding patient