In this paper, the poset $BX$ of formal balls is studied in fuzzy partial metric space $(X,p,*)$. We introduce the notion of layered complete fuzzy partial metric space and get that the poset $BX$ of formal balls is a dcpo if and only if $(X,p,*)$ is layered complete fuzzy partial metric space.

At the CCCG 2001 open-problem session [2], J. O’Rourke asked which polyhedra can be represented by bars and magnets. This problem can be phrased as follows: which 3-connected planar graphs may have their edges directed so that the directions “alternate” around each vertex (with one exception of non-alternation if the degree is odd). In this note we solve O’Rourke’s problem and generalize it to ...

Microbiological studies of spent nuclear fuel pools at the Cofrentes Nuclear Power Plant (Valencia, Spain) were initiated to determine the microbial populations in the pools' water. Biofilm formation at the nuclear power plant facilities and the potential use of those microbial populations in the bioremediation of radioactive water were also studied. Biofilm formation was analyzed by immersing ...

In this paper, we propose a new urn model. A single urn contains b black balls and w white balls. For each observation, we randomly drawm balls and note their colors, say k black balls andm−k white balls. We return the drawn balls to the urn with an additional ck black balls and c(m− k) white balls. We repeat this procedure n times and denote by Xn the fraction of black balls after the nth draw...

Hair mechanical properties are primary indicators of hair integrity. Here we describe a methodology based on hair's resistance to wear evaluate cosmetic treatments. Using vibrational vortex cycle, developed protocol that relies the plastic deformation and degradation hair, due frictional forces between hardened steel balls fragments. We demonstrate when in contact with fragments promoted extend...