Constructed wetlands (CWs) are engineered water treatment systems designed to remove various types of contaminants. A large number of processes simultaneously contribute to water quality improvement in CWs. During the last decade, there has been a wide interest in the understanding of complex “constructed wetland” systems, including the development of numerical process-based models describing t...

We reconsider the issue of search for a nonzero electric dipole form factor (EDM) ${d}_{\ensuremath{\tau}}(s)$ using optimal observables in ${\ensuremath{\tau}}^{+}{\ensuremath{\tau}}^{\ensuremath{-}}$ production by ${e}^{+}{e}^{\ensuremath{-}}$ collisions center-of-mass energy range from $\ensuremath{\tau}$-pair threshold to about $\sqrt{s}\ensuremath{\sim}15\text{ }\text{ }\mathrm{GeV}$. disc...

The strong convergence theorem is proved for finding a common solution for a system of equilibrium problems: find u∗ ∈ S : ∩i 1EP Fi ,EP Fi : {z ∈ C : Fi z, v ≥ 0 ∀v ∈ C}, i 1, . . . ,N, where C is a closed convex subset of a Hilbert space H and Fi are N bifunctions from C ×C into R given exactly or approximatively. As an application, finding a common solution for a system of variational inequa...

In this paper we obtain a unique common xed point theorem for sixweakly compatible mappings in G-metric spaces.

A necessary and suucient condition is proposed for the existence of a xed polynomial p(s) such that the rational function p(s)=q(s) is robustly strictly positive real when q(s) is a given Hurwitz polynomial with polytopic uncertainty. It turns out that the whole set of candidates p(s) is a convex subset of the cone of positive semideenite matrices, resulting in a straightforward strictly positi...

Recently, Albrecher and his coauthors have published a series of papers on the ruin probability of the Lévy insurance model under the so-called loss-carry-forward taxation, meaning that taxes are paid at a certain …xed rate immediately when the surplus of the company is at a running maximum. In this paper we assume periodic taxation under which the company pays tax at a …xed rate on its net inc...

S. Golak, R. Zagorski Silesian University of Technology, Faculty of Materials Engineering and Metallurgy, Katowice, Poland Electromagnetic buoyancy force causes the mo vement of nonconducive par ticles in a c onducting liquid under electromagnetic fi eld. The phenomenon allows fi ltration of small inclusions from molten metals. This paper presents a mathematical model of the fi ltration process...