Consider a square random matrix with independent and identically distributed entries of mean zero unit variance. We show that as the dimension tends to infinity, spectral radius is equivalent root in probability. This result can also be seen convergence support circular law theorem under optimal moment conditions. In proof we establish reciprocal characteristic polynomial analytic function outs...

The average scattered intensity is determined by the optical characteristics of particles in dispersion. The normalized time auto-correlation function of the scattered light intensity g (τ ) includes both the optical and hydrodynamic information of particles. From the different characteristics of particles, the particle sizes can be obtained. In this paper, three sizes: the static radius Rs, th...

For many years broadband colours have been used to obtain insight into the contents of galaxies, in particular to estimate stellar and dust content. Broadband colours are easy to obtain for large samples of objects, making them ideal for statistical studies. In this paper I use the radial distribution of the colours in galaxies, which gives more insight into the local processes driving the glob...

In this work we study electronic properties of quantum dots relevant to Compton scattering and positron annihilation. The system is modeled by an electron gas confined by a spherical potential of given radius and depth. Electron-electron correlations are not considered in this study. We find that the broadening of the electronic momentum density around a suitably defined Fermi momentum scales w...

In this study, an analytical model for the stability of turning and boring processes is proposed. The proposed model is a step ahead from the previous studies as it includes the dynamics of the system in a multidimensional form, uses the true process geometry and models the insert nose radius in a precise manner. Simulations are conducted in order to compare the results with the traditional ori...

We examined the Csalóka Spring, which has the highest radon concentration in the Sopron Mountains (West Hungary) (, yearly average of 227 ± 10 Bq L(-1)). The main rock types here are gneiss and micaschist, formed from metamorphism of former granitic and clastic sedimentary rocks respectively. The aim of the study was to find a likely source of the high radon concentration in water. During two p...

We derive the empirical formulas for neutron star mass and gravitational redshift as a function of central density specific combination nuclear saturation parameters, which are applicable to stellar models constructed with up threefold density. Combining both formulas, one also estimates radius. In practice, we find that (radius) can be estimated within $\sim 10\%$ (a few percent) accuracy by c...

We consider a multicriteria lexicographic Boolean problem of minimizing absolute deviations of linear functions from zero. We investigate the stability radius which can be understood as a limit level of independent perturbations of the parameters, for which new lexicographic optima do not appear. Lower and upper accessible bounds of the stability radius are obtained.