Coupling any number of balls in the infinite-bin model

The infinite-bin model, introduced by Foss and Konstantopoulos, describes the Markovian evolution of configurations of balls placed inside bins, obeying certain transition rules. We prove that we can couple the behaviour of any finite number of balls, provided at least two different transition rules are allowed. This coupling makes it possible to define the regeneration events needed by Foss and Zachary to prove convergence results for the distribution of the balls.Comment: 12 pages, 2 figure

The market mechanism: demand and supply

The market mechanism is the mechanism of interrelation and interaction of the basic elements of the market – demand, supply, prices, competition, and the basic economic laws of the market. Supply and demand are interdependent elements of the mechanism. The former is determined by the solvent demand of consumers and offer a set of goods proposed by sellers. The ratio between them is formed in an inverse relationship, determining the corresponding changes in the level of prices for goods

Stochastic average-cost control, with energy-related applications

In this thesis we present a new stochastic optimisation model arising from supplyside management of power networks. We provide the exact optimal solution under assumption that the environment is Markovian. For the semi-Markovian environment we establish existence of an optimal policy in an important subclass of policies. Finally, we solve the problem for a number of particular examples of environment

Financial stability and its impact on national security state : organizational and legal aspects

Purpose: This paper analyzes the financial stability, the reasons for the low level of financial stability and their impact on the national security of Ukraine. Design/Methodology/Approach: By observation, monitoring of causes and effects of financial stability. Findings: The study found that the main financial stability issues that affected national security in Ukraine were the ineffective regulatory legislation, the high level of distrust in the financial sector, the low growth rates of securities, the high level of credit rates. Also the fact that the financial sector is not capable of securing redistribution of funds in the Ukrainian economy, inefficient use of deposits by the banking sector, insufficient capital of the banking system, low dependence of the banking system on market activity, low level of ability of banks' own capital to cover losses. At the same time banks were exposed to the risk of insolvency of non-financial corporations with insufficient level of money market security and monetization in Ukraine. Practical Implications: A number of problems that negatively affect national security have been systematized. Measures have been developed that will contribute to the development of the financial sector. Originality/Value: With this article we show that the financial stability of the state, its financial dependency / independence can significantly affect national security, economic security, social security, scientific and technological, military and other types of securities.peer-reviewe

Idiomen der deutschen sprache mit somatischen lexikalischen elementen

У статті розглядаються фразеологічні звороти німецької мови, які містять в собі соматичні елементи та проводиться відповідна класифікація цих ідіом за певними ознаками. (The article deals with phraseological turnovers German, which contain physical elements and corresponding classification is carried these idioms on certain grounds. Somatic phraseological units with lexical items is an important part of the German language and each of them has a functional role. According to the function of these idioms can be classified and structuring of the groups. This article gives examples of phraseology, their translation and classification according to functionality.

The ukrainian experience of national identity transformation (On the material “under the wings of big mother” by S. Protsiuk)

This article is devoted to the investigation of Ukrainian national identity transformation, conditioned by the events of the Revolution of Dignity in the novel “Under the Wings of Big Mother” by S. Protsiuk. It was found out that the problem of national identity is the key one on the thematic, problematic, ideological, and figurative levels. The basic categories in the process of the new national identity formation in the novel “Under the Wings of Big Mother” by S. Protsiuk are pain, suffering, sorrow, and fear. The transformation of the national identity is subordinate to the moral and ethical discourse of changes, which were prompted by the revolution. The article serves to analyze political obstacles, mental traps and drawbacks of Ukrainian psychological character that prevented Ukrainians from forming a strong national identity. Changes of Ukrainian national identity is caused by the traumatic experience of Ukraine being a part of USSR, marked by genocide, linguicide, culturicide, Holodomor, and political repressions. The transformation of Ukrainian national identity in the beginning of the 21st century made possible the establishment of the key national identities (identitas): history, language, territory, basic national symbols and codes. It was proved that the modification of the national identity and the awareness of the ethnic value and self-identification are possible on the condition of understanding of mental traps and psychological drawbacks of Ukrainians that impeded the Ukrainian people of forming their identity and world view to the full extent