Abstract In this paper, we study a special type of cutoff regularization in the coordinate representation. We show how approach unites such concepts and properties as an explicit cut, spectral representation, homogenization, covariance. Besides that, present new formulae to work with give additional calculations infrared asymptotics for some regularized Green’s functions appearing pure four-dim...

The complete genome sequence of Streptococcus mutans, a bacterial pathogen commonly associated with human dental caries, was published in 2002. The streamlined genome (2.03 Mb) revealed an organism that is well adapted to its obligately host-associated existence in multispecies biofilms on tooth surfaces: a dynamic environment that undergoes rapid and substantial fluctuations. However, S. mutan...

INTRODUCTION Complexes containing metal-boron bonds are relatively new to organometallic chemistry. Just over 20 years ago, the first crystallographically characterized complexes containing a transition metal-boron bond were reported. Boron is typically encountered in the +3 oxidation state, and boron species commonly serve as Lewis acids via their vacant p-orbital. Indeed, metal borane complex...

In this paper, the development and implementation of a three-dimensional, numerical pollutant transport model, which is based on an orthogonal curvilinear coordinate system in the horizontal direction and a sigma coordinate system in the vertical direction, is delineated. An efficient as well as simple open boundary condition is employed for pollutant transport in this mathematical model. It is...

Consider a two-person zero-sum stochastic game with Borel state space S, compact metric action sets A, B and law of motion q such that the integral under q of every bounded Borel measurable function depends measurably on the initial state s and continuously on the actions (a,b) of the players. Suppose the payoff is a bounded function f of the infinite history of states and actions such that f i...

A 3D numerical model with orthogonal curvilinear coordinate in the horizontal direction and sigma coordinate in the vertical direction has been developed. This model is based on POM (the Princeton Ocean Model). In this model a second moment turbulence closure sub-model is embedded, and the stratification caused by salinity and temperature is considered. Furthermore, in order to adapt to estuary...

The vertical coordinates (VC) are one of the most important set configuration options an ocean model. Optimisation is, however, a non-trivial exercise. We compare nine configurations to investigate different VC and contrast Vanishing Quasi-Sigma (VQS), partial step z-level, s-z hybrid Multi-Envelope (MEs) approaches. Using NEMO model simulations, hierarchy experiments conducted, including: unfo...

Let $S(G^{sigma})$ be the skew-adjacency matrix of the oriented graph $G^{sigma}$, which is obtained from a simple undirected graph $G$ by assigning an orientation $sigma$ to each of its edges. The skew energy of an oriented graph $G^{sigma}$ is defined as the sum of absolute values of all eigenvalues of $S(G^{sigma})$. Two oriented graphs are said to be skew equienergetic iftheir skew energies...