This Special Issue consists of 11 papers recently published in MDPI’s journal Symmetry under the general thematic title “Symmetry Mathematical Analysis and Functional Analysis” (see [...]

the analysis of the 27al and 35cl quadrupole coupling parameters of aluminum methyl chloride dimers were carried out on the basis of the density functional theory (dft). the available experimental values of quarupole coupling constants were compared with their calculated ones. in this investigation, the correlations were made between calculated 27al and 35cl nuclear quadrupole coupling constant...

We derive the limiting form of the eigenvalue spectrum for sample covariance matrices produced from non-isotropic data. For the analysis of standard PCA we study the case where the data has increased variance along a small number of symmetry-breaking directions. The spectrum depends on the strength of the symmetry-breaking signals and on a parameter α which is the ratio of sample size to data d...

‎In this paper Lie symmetry analysis is applied in order to find new solutions for Fokker Plank equation of Ornstein-Uhlenbeck process‎. ‎This analysis classifies the solutions format of the Fokker Plank equation by using the Lie algebra of the symmetries of our considered stochastic process‎.

The Higgs-Yukawa model in curved spacetime (renormalizable in the usual sense) is considered near the critical point, employing the 1/N–expansion and renormalization group techniques. By making use of the equivalence of this model with the standard NJL model, the effective potential in the linear curvature approach is calculated and the dynamically generated fermionic mass is found. A numerical...

The analysis of the 27Al and 35Cl quadrupole coupling parameters of aluminum methyl chloride dimers were carried out on the basis of the density functional theory (DFT). The available experimental values of quarupole coupling constants were compared with their calculated ones. In this investigation, the correlations were made between calculated 27Al and 35Cl nuclear quadrupole coupling constant...

‎in this paper lie symmetry analysis is applied in order to find new solutions for fokker plank equation of ornstein-uhlenbeck process‎. ‎this analysis classifies the solutions format of the fokker plank equation by using the lie algebra of the symmetries of our considered stochastic process‎.