Self-assembly of nanoparticles is an important tool in nanotechnology, with numerous applications, including thin films, electronics, and drug delivery. We study the deposition of ionic nanoparticles on a glass substrate both experimentally and theoretically. Our theoretical model consists of a stochastic cooperative adsorption and evaporation process on a two-dimensional lattice. By exploring the relationship between the initial concentration of nanoparticles in the colloidal solution and the density of particles deposited on the substrate, we relate the deposition rate of our theoretical model to the concentration.

In this paper the author present distance education using mLearning Objects (mLo). The mLo are interactive visualizations of program code examples or programming tasks. They have been developed to help students to understand programming structures more easily. A mLo can cover any specific programming problem in any programming language; also can cover the problem-solving logic at the algorithmic level. A mLo focuses on one specific learning goal. Each mLo has to be independent, without links to other objects or resources. This independence ensures the real reusability of the mLo. Also, the author identifies areas that are critical to the successful adoption of mLearning, and consequently need to be taken into consideration and present the advantages and disadvantages of using WAP in developing an mLearning course. Results from current m-learning projects indicate that wireless technologies are emerging as a portable solution that enables learners to engage in collaborative and interactive learning activities. Considerations that need to be taken into account when exploring the adoption of wireless technologies in education range from limitations of the wireless technologies themselves, to broader issues such as safety and security, and training and support considerations. This paper concludes that using wireless technologies at educational institutions can be beneficial to all involved, provided that the necessary guidelines and policies are in place.

We design and model an experiment to study the effect of electric bias on particle-coverage densities produced during ionic nanoparticle self-assembly. The experiment involves the application of a uniform external electric field parallel to a glass substrate during the self-assembly of silica nanoparticles. We refer to this procedure as directed self-assembly of monolayers (DSAM). In our theoretical analysis, we modify existing cooperative sequential adsorption models to account for diffusion under an applied electric field. We use the mean field approximation to solve for particle-coverage densities. To ascertain the validity of this method, we compare our solutions to Monte Carlo simulations of the system.

In the modern economy and society, the role and importance of digital technologies is constantly growing. Their application by businesses contributes to achieving sustainable growth and high competitiveness. This is the reason why the article discusses the issue of digital technologies as an opportunity for business development. The aim is to clarify the specifics of digital technologies and their role and importance for business. Atlas.ti specialized software was used to achieve the goal. The theoretical aspects of digital technologies have been considered. A classification of digital technologies has been made. The characteristic features of some basic digital technologies have been systematized.

The $\alpha$-fractional power moduli series are introduced as a generalization of $\alpha$-fractional power series and the structural properties of these series are investigated. Using the fractional Taylor’s formula, sufficient conditions for a function to be represented as an $\alpha$-fractional power moduli series are established. Beyond theoretical formulations, a practical method to represent solutions to boundary value problems for fractional differential equations as $\alpha$-fractional power series is discussed. Finally, $\alpha$-analytic functions on an open interval I are defined, and it is shown that a non-constant function is $\alpha$-analytic on I if and only if $1/\alpha$ is a positive integer and the function is real analytic on I.