This study examined connections between pitch-class set-theoretical abstract concepts, set-classes, and perceptual estimations of chords derived from the set-classes. The study had two aims, the first of which was to compare theoretical resemblance with perceived closeness. Another aim was to illuminate and analyze both factors relevant for perceptual estimations of chords and factors relevant ...

A novel algorithm for the fast detection of hubs in chemical networks is presented. The algorithm identifies a set of nodes in the network as most significant, aimed to be the most effective points of distribution for fast, widespread coverage throughout the system. We show that our hubs have in general greater closeness centrality and betweenness centrality than vertices with maximal degree, w...

Measuring the importance of nodes in a network with centrality measure is core task any application. There are many measures available and it speculated that encode similar information. We give an explicit non-linear relationship between two most popular node centrality: degree closeness. Based on shortest-path tree approximation, we analytic derivation shows inverse closeness linearly dependen...

We establish that, under appropriate conditions, the solutions of a time-varying system with disturbances converge uniformly on compact time intervals to the solutions of the system’s average as the rate of change of time increases to infinity. The notions of “average” used for systems with disturbances are the “strong” and “weak” averages introduced in [5].

Pitman estimators of location are unbiased, translation-equivariant and possess some optimality properties under quadratic loss. Similar optimality properties of Pitman estimators are studied with respect to the measure of Pitman closeness of estimators.

Often democracy is defeated by democratically elected leaders who pursue undemocratic policies. The present contribution seeks to explain how information can a¤ect the danger of incompetent or populist politicians being elected into o¢ ce. It is shown with the help of a voting model that both the proportion of informed voters in a society and the state of the economy matter for determining who ...