This paper presents a critical voltage flicker detection based on a pair of inter-harmonics analysis method. The proposed algorithm can be applied in any crowded human place for human awareness purpose. Moreover, the correlation between pair of inter-harmonics and critical voltage flicker is described in details and the related formulas have been derived as well. According to simulation and exp...

Abstract The pair correlation is a localized statistic for sequences in the unit interval. Pseudo-random behavior with respect to this called Poissonian behavior. metric theory of correlations form $$(a_n \alpha )_{n \ge 1}$$ ( a n ? <mm...

Whole-genome duplication (WGD) produces sets of gene pairs that are all of the same age. We therefore expect that phylogenetic trees that relate these pairs to their orthologs in other species should show a single consistent topology. However, a previous study of gene pairs formed by WGD in the yeast Saccharomyces cerevisiae found conflicting topologies among neighbor-joining (NJ) trees drawn f...

A method from random-matrix theory is used to calculate the pair correlation function of a one-dimensional gas $N\gg 1$ classical particles with power law repulsive interaction potential $u(x)\propto |x|^{-s}$ (a socalled Riesz gas). An integral formula for covariance single-particle operators obtained which generalizes known results in limits $s\rightarrow -1$ (Coulomb gas) and 0$ (log-gas). A...