Monopoles of the Dirac type and color confinement in QCD

We present results of SU(3) Monte-Carlo studies of a new color confinement scheme proposed recently due to Abelian-like monopoles of the Dirac type corresponding in the continuum limit to violation of the non-Abelian Bianchi identities (VNABI). The simulations are done without any additional gauge-fixing smoothing the vacuum. We get for the first time, in pure SU(3) simulations, (1) the perfect Abelian dominance with respect to the static potentials on (12 ~ 16)4 at β = 5.6 − 5.8 using the multilevel method, (2) the monopole as well as Abelian dominances with respect to the static potentials by evaluating the Polyakov-loop correlators on 243 × 4 at β = 5.6. The Abelian photon part gives zero string tension. The new SU(3) as well as the previous SU(2) results are consistent with the new Abelian picture of color confinement that each one of eight colored electric flux is squeezed by the corresponding colored Abelian-like monopole of the Dirac type corresponding to VNABI.

An Optimal Multilevel Method with One Smoothing Step for the Morley Element

In this paper, a class of multilevel preconditioning schemes is presented for solving the linear algebraic systems resulting from the application of Morley nonconforming element approximations to the biharmonic Dirichlet problem. Based on an appropriate space splitting of the finite element spaces associated with the refinements and the abstract Schwarz framework, we prove that the proposed multilevel methods with one smoothing step are optimal, i.e., the convergence rate is independent of the mesh sizes and mesh levels. Moreover, the computational complexity is also optimal since the smoothers are performed only once on each level in the algorithm. Numerical experiments are provided to confirm the optimality of the suggested methods.

Effect of Economic Performance on Subjective Well-Being

The effect of Economics on the subjective well-being of people has been usually studied by treating country information in the same way as data from individuals. The objective of this paper is to analyze 17 Latin American countries with data from 2016, by including both effects handled into two different levels accordingly. This work contributes to extend the current debate regarding the impact of Economics on subjective well-being of people by applying the multilevel method. Some of the findings revealed that both the individual economic situation as well as the welfare state and the rule of law of a country generate effects on subjective well-being. Similarly, the effect of interaction between some variables was analyzed, and it was concluded that people with great economic difficulties have a stronger relationship with subjective well-being in areas of higher government spending and higher tax burden.

THE IMPORTANCE OF CUSTOMERS AND EMPLOYEES IN THE MUSLIM-FRIENDLY HOTELS: A REVIEW AND PROPOSED MODEL

The purpose of this conceptual paper is an attempt to introduce the model which illustrates the internal marketing strategy. It based on a critical review of the literature for insights that integrate internal Muslim-friendly hotels (MFH) and provide customer satisfaction. The review suggests that scholars in the area of Islamic marketing should start working towards the internal environment of MFH, in addition to discussing the importance of customers without looking at the needs of internal MFH. This paper proposes a conceptual framework that involves service climate, service behavior, and customer satisfaction. The dyadic interaction between employees-customers in a service serves as a basis of the conceptual framework development. This paper also suggests a dyadic multilevel method to investigate these relationships.

Aplikácia analytickej viacúrovňovej metódy pri výbere zatepľovacieho materiálu

The article deals with the selection of four types of insulation material based on the particular criteria. Specifically, it will be a matter of decision among facade insulation materials. We chose four species of the most used thermal insulation materials that are available on the market and are used frequently. The applied method is an analytical multilevel method that allows us to divide the whole problem into hierarchies and then compare two elements together and thus gain the weights of the criteria. Subsequently, we assessed the alternatives. The selected criteria are the price of the material, the thermal coefficient conductivity, flammability class and ignition time of the sample. The method is verified in the software BPMSG AHP priority calculator.