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...

We focus on the Gibbs free energy ΔG for nucleating a droplet of the stable phase (e.g., solid) inside the metastable parent phase (e.g., liquid), close to the first-order transition temperature. This quantity is central to the theory of homogeneous nucleation, since it superintends the nucleation rate. We recently introduced a field theory describing the dependence of ΔG on the droplet volume ...

To estimate the physiological roles of a germin-like protein (BuGLP) with Mn-SOD activity isolated newly from a moss, Barbula unguiculata, BuGLP mRNA levels during cell growth and the effects of methyl viologen and salt stress were studied. BuGLP mRNA levels were at their peak during the exponential phase of growth and decreased thereafter, but SOD activity was held at the same level as that du...

Previously, we have shown that the transcription of p35, a lipoprotein gene of Borrelia burgdorferi, is upregulated or initiated during the post-logarithmic bacterial growth phase in vitro. To identify potential regulatory factors, we examined the formation of DNA-protein complexes by electromobility shift assay, using a 157-bp DNA fragment that spans the p35 promoter region and cell-free extra...

We study the out-of-equilibrium dynamics of the fully-frustrated XY model. At equilibrium, this model undergoes two phase transitions at two very close temperatures: a Kosterlitz-Thouless topological transition and a secondorder phase transition between a paramagnetic phase and a low-temperature phase where the chiralities of the lattice plaquettes are anti-ferromagnetically ordered. We compute...

The two-dimensional (2D) logarithmic character of Coulomb interaction between charges and the resulting logarithmic confinement is a remarkable inherent property of high dielectric constant (high-κ) thin films with far reaching implications. Most and foremost, this is the charge Berezinskii-Kosterlitz-Thouless transition with the notable manifestation, low-temperature superinsulating topologica...

Phase Retrieval is the task of reconstructing a signal x ∈ Cn up to a phase from intensity measurements. In [1] it was shown that m ≥ 4n− 2 generic intensity measurements suffice to discriminate any two signals in Cn up to a phase. With a similar approach this result was slightly improved to m ≥ 4n− 4 in [8] 1. The bound m ≥ 4n− 4 is known to be close to optimal. More precisely, by relating pha...

Coulomb effects in granular materials at not very low temperatures. Abstract We consider effects of Coulomb interaction in a granular normal metal at not very low temperatures suppressing weak localization effects. In this limit calculations with the initial electron Hamiltonian are reduced to integrations over a phase variable with an effective action, which can be considered as a bosonization...