In this paper, we compute the probability that a segment of random position and of constant length intersects a side of a regular lattice with circular sections obstacles. In particular, we obtain the formula of a probability already computed by Caristi and Stoka, as well as the formula of the...

This article presents two caveats for the analysis of large-scale structure. Within distances for which the fractal structure of the distribution of galaxies obtains, fluctuations may be on the scale of the measurements themselves, as is typical of fractals. Second, within this region it is...

We investigate two important questions about the use of the nonextensive thermostatistics (NETS) formalism in the context of nonlinear galaxy clustering in the Universe. Firstly, we define a quantitative criterion for justifying nonextensivity at different physical scales. Then, we discuss the...

Let ηt be a Poisson point process of intensity t≥1 on some state space Y and let f be a non-negative symmetric function on Yk for some k≥1. Applying f to all k-tuples of distinct points of ηt generates a point process ξt on the positive real half-axis. The scaling limit of ξt as t tends...

Surface defects on the substrate electrode have significant effects on electropolymerization processes. Influence of surface defects mechanically formed on a Pt electrode on electrochemical polymerization of aniline was investigated. Interestingly, it was found that existence of such surface...

Ceramic coatings were formed on a pure aluminum substrate in an aqueous solution of phosphate salt, using the pulsating micro-arc oxidation method. XRD indicated that the film composed of pure γ-Al2O3. SEM showed that the surface of the film was micro-porous with 1–5 μm pores. EDS gave the...

The Russian subjunctive particle by can be used in constructions that lack any finite verb form, including constructions involving infinitives, predicative adverbs or adjectives, and nouns. The properties of these constructions are compared, and a conclusion is made that verbless subjunctives...