Bernstein-Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space

In this work, we obtain pointwise Bernstein–Walsh-type estimation for algebraic polynomials in the unbounded regions with piecewise asymptotically conformal boundary, having exterior and interior zero angles, in the weighted Lebesgue space

Economic Diagnostics of Higher Education and its Model Indicators

The article provides information on the history of 3D printers, on the basics, types of work, capabilities, advantages and the basics of their operation.&nbsp

Halloysite clay nanotubes for controlled delivery of chemically active agents

In this work we explored the capabilities of halloysite nanotubes as capsules for encapsulation and controlled delivery of the chemically and biologically active substances. Halloysite is a two-layered aluminosilicate which has a predominantly hollow tubular structure in the submicron range and is chemically similar to kaolinite [1, 2]. In the first section of this work, we analyzed the structure of the halloysite nanotubes as well as its capability to encapsulate and deliver biologically and chemically active agents, similarities and differences between release characteristics of different agents and how these differences relate with their chemical structure. Models were used to describe the release characteristics of the active agents. Study of the interaction between loaded agents and halloysite nanotubes provides better understanding of the release characteristics of the loaded agents and how halloysite can be implemented for technological and medical applications. The second part of the work deals with self-healing coatings produced on the basis of halloysite nanotubes loaded with corrosion inhibitors. Self-healing coatings are one of the effective methods to protect metals from corrosion and deterioration. The difference between self-healing coatings and the usual coatings is the ability of the first to recover after the formation of the damages due to external or internal stresses. High efficiency of the self- healing coatings produced by halloysite nanotubes were demonstrated on 110 Copper alloys and 2024 aluminum alloys. Controlled delivery of the corrosion inhibitors with additional encapsulation of the halloysite nanotubes by synthesizing stoppers at tube endings was also demonstrated. Additional encapsulation of the halloysite nanotubes may be necessary when slow release of the loaded agents is required or rapid convection of the liquid in the surrounding environment takes place (since this may cause rapid release of the loaded agents without additional encapsulation). The third part of this work deals with pharmaceutical applications of the halloysite nanotubes. Toxicity analysis was performed by using MCF-7 and HeLa cells since this is the main issue to be considered before using halloysite for any technological and medical applications. Halloysite nanotubes were readily taken up by the cells and cells survived for a reasonably long time after uptake indicating the biocompatible nature of the halloysite nanotubes. The possibility to encapsulate glycerol, a skin moisturizing agent, was also demonstrated for pharmaceutical applications. It was shown that halloysite has a huge capability for encapsulating a wide range of pharmaceuticals and effectively deliver over a long time range which may increase the quality of pharmaceutical products

Modelling Self-similar Traffic Of Multiservice Networks

Simulation modelling is carried out, which allows adequate describing the traffic of multiservice networks with the commutation of packets with the characteristic of burstiness. One of the most effective methods for studying the traffic of telecommunications systems is computer simulation modelling. By using the theory of queuing systems (QS), computer simulation modelling of packet flows (traffic) in modern multi-service networks is performed as a random self-similar process. Distribution laws such as exponential, Poisson and normal-logarithmic distributions, Pareto and Weibull distributions have been considered.The distribution of time intervals between arrivals of packages and the service duration of service of packages at different system loads has been studied. The research results show that the distribution function of time intervals between packet arrivals and the service duration of packages is in good agreement with the Pareto and Weibull distributions, but in most cases the Pareto distribution prevails.The queuing systems with the queues M/Pa/1 and Pa/M/1 has been studied, and the fractality of the intervals of requests arriving have been compared by the properties of the estimates of the system load and the service duration. It has been found out that in the system Pa/M/1, with the parameter of the form a> 2, the fractality of the intervals of requests arriving does not affect the average waiting time and load factor. However, when ≤2, as in the M/Pa/1 system, both considered statistical estimates differ.The application of adequate mathematical models of traffic allows to correctly assess the characteristics of the quality of service (QoS) of the network

Indicators Surgical Methods of Treatment of Chronic Periodontitis

The frequency of pulp and periodontal diseases in children and adults currently does not tend to decrease. Epidemiological data on the study of endodontic lesions of teeth show that out of 37 examined orthopantomograms in patients with no clinical manifestations of endodontic diseases, 78.9% revealed destructive changes at the root tip or root canal filling was observed. On average, there were 3 endodontic teeth per person. In the structure of the therapeutic reception, 35% are visits for pulpitis and periodontitis. Completed endodontic treatment is often mistaken for success. While, even with technically perfect root canal filling, the pathological focus in the periapical tissues persists for a long time, creating the risk of relapses and complications. The need for re-treatment of the canals of the teeth exceeds the need for their primary treatment

The Modern Approach Surgical Methods of Treatment of Chronic Periodontitis

On average, there were 3 endodontic teeth per person. In the structure of the therapeutic reception, 35% are visits for pulpitis and periodontitis. Completed endodontic treatment is often mistaken for success. While, even with technically perfect root canal filling, the pathological focus in the periapical tissues persists for a long time, creating the risk of relapses and complications. The need for re-treatment of the canals of the teeth exceeds the need for their primary treatment

International Models of Accounting and Tax Accounting

This article is devoted to the research of foreign practice of accounting. In addition, it substantiates the compliance of the tax accounting with international practice. Key words: Accounting, tax accounting, accounting models, national model of accounting, international model of accounting, double-entry book-keeping, tax payments. DOI: 10.7176/EJBM/11-9-03 Publication date:March 31st 201

Proportionality of Image and Idea

This article analyzes the novel "Rebellion and Obedience" by the famous Uzbek writer Ulugbek Hamdam. The article interprets the idea-creating functions of the elements of the artistic composition, the artistic-aesthetic functions of the means of speech that implement the ideational communication in the text