In a recent paper, De Baets et al. have characterized the fuzzytolerance and fuzzy equivalence relations that a given strict order relation iscompatible with. In this paper, we generalize this characterization by consideringan arbitrary (crisp) relation instead of a strict order relation, while payingattention to the particular cases of a reflexive or irreflexive relation. The reasoninglargely ...

Abstract Cosmic rays (CRs) are ubiquitous in the interstellar medium (ISM) of nearby galaxies, but many their properties not well-constrained. Gamma-ray observations provide a powerful tool this respect, allowing us to constrain both interaction CR protons with ISM and transport properties. To help better understand link between observational signatures physics, we use series magneto-hydrodynam...

This study investigations the phenomenon of sustained mechanical alternans (SMA) through the use of quantitative criteria. Discrete analysis is used to demonstrate that the hemodynamic variables during SMA are governed by a simple mathematical relation. The analysis shows that the value of the slope created by the two alternating beats on the stroke volume (SV)-end-diastolic volume (EDV) plane ...

The present-day observational data obtained by satellite observatories cover seven decades of gamma-ray energy, and there is no universal general model describing the formation spectrum. Therefore, it important to describe initial stages radiation propagation in an ultrarelativistically expanding shell. aim this study was obtain equations a relativistically shell diffusion limit, solve them for...

We consider interacting Bose gas in thermal equilibrium assuming a positive and bounded pair potential V(r) such that 0< integral dr V(r)=a< infinity. Expressing the partition function by the Feynman-Kac functional integral yields a classicallike polymer representation of the quantum gas. With the Mayer graph summation techniques, we demonstrate the existence of a self-consistent relation rho(m...