We prove new explicit asymptotic formulae between (geometric) eigenvalues in max-algebra and classical distinguished of nonnegative matrices, which are useful tools for transferring results both settings. establish inequalities types Hadamard products weighted geometric means matrices. Moreover, a version the spectral mapping theorem spectrum is pointed out.

This paper presents the development of a new approach, based on wavelet spectrum analysis, for the detection of breaking waves in a time series of surface wave fluctuations. The approach is shown to be capable of producing equivalent wave breaking statistics as field measurements based on detection of whitecaps at a fixed point of observation. This wavelet-based approach is applicable to both d...

We review some of the few available nonadiabatic calculations of dipole moments. We show that those carried out in a laboratory–fixed set of coordinate axes are bound to fail and discuss the more reasonable ones in a molecule–fixed reference frame. For completeness we also describe the standard Born–Oppenheimer calculations of dipole moments. We briefly address the experimental estimation of di...

This paper presents general methods for obtaining power spectra of a large class of signals and random fields driven by an underlying point processes, in particular spatial shot noises with random impulse response and arbitrary basic stationary point processes described by their Bartlett spectrum, and signals or fields sampled at random times or points, where again the sampling point process is...

let $r$ be an associative ring and let $m$ be a left $r$-module.let $spec_{r}(m)$ be the collection of all prime submodules of $m$ (equipped with classical zariski topology). there is a conjecture which says that every irreducible closed subset of $spec_{r}(m)$ has a generic point. in this article we give an affirmative answer to this conjecture and show that if $m$ has a noetherian spectrum, t...