This paper studies logarithmic depreciation which is similar to conventional geometric depreciation, except that capital and investment are replaced by their logarithms. We provide empirical theoretical evidence can account for aggregate better than more complicated methods have additional parameters. document consumption decisions in the United States other countries appear be made under erron...

In this paper we use the idea of logarithmic density to define the concept of logarithmic statistical convergence. We find the relations of logarithmic statistical convergence with statistical convergence, statistical summability (H, 1) introduced by Móricz (Analysis 24:127-145, 2004) and [H, 1]q-summability. We also give subsequence characterization of statistical summability (H, 1). MSC: 40A0...

In rotating turbulence, stably stratified turbulence, and in rotating stratified turbulence, heuristic arguments concerning the turbulent time scale suggest that the inertial range energy spectrum scales as k. From the viewpoint of weak turbulence theory, there are three possibilities which might invalidate these arguments: four-wave interactions could dominate three-wave interactions leading t...

The spectral model of Perry et al. (J. Fluid Mech., vol. 165, 1986, pp. 163–199) predicts that the integral length scale varies very slowly with distance to the wall in the intermediate layer. The only way for the integral length scale’s variation to be more realistic while keeping with the Townsend–Perry attached eddy spectrum is to add a new wavenumber range to the model at wavenumbers smalle...

Solutions to a singular one-dimensional Vlasov equation are obtained as the semiclassical limit of the Wigner transform associated to a logarithmic Schrödinger equation. Two frameworks are considered, regarding in particular the initial position density: Gaussian initial density, or smooth initial density away from vacuum. For Gaussian initial densities, the analysis also yields global solution...

The damping effect of the free-streaming neutrinos on second order gravitational waves is investigated in detail. We solve Boltzmann equation and give anisotropic stress induced by to order. first tensor its coupling with scalar perturbations are considered. analytic equations kernel functions finally obtain energy density spectrum. results show that suppress spectrum significantly for low freq...

In cognitive networks, spectrum handoff occurs when primary users reclaim their rights to access their licensed spectrum. When links perform spectrum handoff, their communication may be interrupted for a certain period and incurs spectrum handoff delay. Existing work only considered the problem of minimizing spectrum handoff delay of a single link in single-hop cognitive networks, referred to a...