Hypercubes and star graphs are widespread topologies of interconnection networks. The class of hyper-stars was introduced as a new type of interconnection network to compete with both hypercubes and star graphs, and the class of folded hyper-stars is a strengthened variation of hyperstars with additional links to connect nodes with complemented 0/1-strings. Constructing independent spanning tre...

We pursue the study of the computational power of Piecewise Constant Derivative PCD systems started in PCD systems are dynamical systems de ned by a piecewise constant di erential equation and can be considered as computational machines working on a continuous space with a continuous time We prove that the languages recognized by rational PCD systems in dimension d k respectively d k k in nite ...

A light Higgs portal scalar could be abundantly produced in the earth's atmosphere and decay large-volume neutrino detectors. We point out that Hyper-Kamiokande detector bears a strong discovery potential of probing such particles an uncharted parameter space is actively explored by intensity frontier experiments including rare kaon decays. The signal we propose to look for electron-positron pa...

The class of radial fuzzy systems is introduced. The fuzzy systems in this class use radial functions to implement membership functions of fuzzy sets and exhibit a shape preservation property in antecedents of their rules. The property is called the radial property. It enables the radial fuzzy systems to have their computational model mathematically tractable under both conjunctive and implicat...

This paper proposes the implicative rating measure developed on the typicality measure. The paper also proposes a new recommendation model presenting the top N items to the active users. The proposed model is based on the user-based collaborative filtering approach using the implicative intensity measure to find the nearest neighbors of the active users, and the proposed measure to predict user...