Modeling of a closed mono-branch labor market conditions

Market modeling issues are currently acute as they are responsible for efficient operation of a labor market to achieve full employment and a high rate of economic growth. The aim of the study is to construct a theoretically reasonable closed mono-branch mathematical model that describes the behavior of economic agents at a labor market using a system of differential equations. The model is constructed on the following hypotheses: 1) a market is a closed system with a constant number of the unemployed (applicants) and employees; 2) employees and applicants can be divided into three conventional categories: low-skilled workers the demand for whom is low or absent, the number of these people is equal to the number of vacant positions at an enterprise; average-skilled workers, who may later join to a category of low-skilled or highly qualified workers; highly qualified workers and employers are mostly interested in them. To analyze the dynamic of average-skilled workers the staff training coefficient is implemented to select these employees. Shares of the each category representatives have been chosen as modeling variables. The staff training coefficient, as well as the number of employees and the unemployed and the amount of subjects of each category have been accepted to be constant according to the initial hypotheses. The dynamic of the variables is described by the system of three nonlinear differential equations. Consideration of the system peculiarities makes it possible to find the exact solution of the system in quadratures i.e. to determine the quantitative structure of each of the subjects of the labor market at any moment of time. Particular attention is paid to the asymptotic properties of solutions: the equilibrium points of the system have been found and their stability has been investigated. The research results have revealed that a proactive employer hires highly qualified workers and pays particular attention to human resource policy and it proves the model adequacy. The economic interpretation of the obtained mathematic results in the terms of the initial task has classified possible situations at a labor market and has made a conclusion about the dynamics of each category of the economic agents depending on the initial conditions. Further studies will be devoted to the system complication by including new parameters, e.g. salary impact factor, training costs spent on average-skilled employees, lag, etc. The model may be interesting for both the scholars studying labor market conditions and human resource managers

About the Electron Charge Accelerated in the Small-size Betatron MIB-4

It is assumed that the electron charge accelerated in small-size betatons is of the same order as that in the classical betatron. However, the parameters of the interpolar space of small-size betatons significantly differ from the parameters of the classical betatron. We can expect that the value of the accelerated electron charge will be different. The paper presents the results of the measurements of the electron charge accelerated in a small-size betatron MIB-4. It is shown that the electron charge accelerated is this betatron is larger than that in the classical betatron

Dynamic simulation of electrons in the injector of sealed vacuum chamber of industrial betatrons

The paper researches some difficulties that emerge in the production ofseries small-sized betatrons. In particular, disadvantages of electron injectorconstruction and attributed problems are described. Analysis of the results ofmathematical simulation of the dynamics of electrons in the injector of the sealedacceleration vacuum chamber of serial betatrons was carried out. The problemareas were highlighted in the injector of electrons requiring to be improved

New microfocus bremsstrahlung source based on betatron B-18 for high-resolution radiography and tomography

New microfocus source of hard bremsstrahlung (photon energy > 1 MeV), based on the betatron B-18 with a narrow Ta target inside, for high-resolution radiography and tomography is presented. The first studies of the source demonstrate its possibilities for practical applications to detect the microdefects in products made from heavy materials and to control gaps in joints of parts of composite structures of engineering facilities. The radiography method was used to investigate a compound object consisting of four vertically arranged steel bars between which surfaces were exposed gaps of 10 [mu]m in width. The radiographic image of the object, obtained with a magnification of 2.4, illustrates the good sensitivity of detecting the gaps between adjacent bars, due to the small width of the linear focus of the bremsstrahlung source

Confirmation of functional zones within the human subthalamic nucleus: Patterns of connectivity and sub-parcellation using diffusion weighted imaging

The subthalamic nucleus (STN) is a small, glutamatergic nucleus situated in the diencephalon. A critical component of normal motor function, it has become a key target for deep brain stimulation in the treatment of Parkinson's disease. Animal studies have demonstrated the existence of three functional sub-zones but these have never been shown conclusively in humans. In this work, a data driven method with diffusion weighted imaging demonstrated that three distinct clusters exist within the human STN based on brain connectivity profiles. The STN was successfully sub-parcellated into these regions, demonstrating good correspondence with that described in the animal literature. The local connectivity of each sub-region supported the hypothesis of bilateral limbic, associative and motor regions occupying the anterior, mid and posterior portions of the nucleus respectively. This study is the first to achieve in-vivo, non-invasive anatomical parcellation of the human STN into three anatomical zones within normal diagnostic scan times, which has important future implications for deep brain stimulation surgery

A one-parameter Budyko model for water balance captures emergent behavior in darwinian hydrologic models

Hydrologic models can be categorized as being either Newtonian or Darwinian in nature. The Newtonian approach requires a thorough understanding of the individual physical processes acting in a watershed in order to build a detailed hydrologic model based on the conservation equations. The Darwinian approach seeks to explain the behavior of a hydrologic system as a whole by identifying simple and robust temporal or spatial patterns that capture the relevant processes. Darwinian-based hydrologic models include the Soil Conservation Service (SCS) curve number model, the abcd model, and the Budyko-type models. However, these models were developed based on widely differing principles and assumptions and applied to distinct time scales. Here, we derive a one-parameter Budyko-type model for mean annual water balance which is based on a generalization of the proportionality hypothesis of the SCS model and therefore is independent of temporal scale. Furthermore, we show that the new model is equivalent to the key equation of the abcd model. Theoretical lower and upper bounds of the new model are identified and validated based on previous observations. Thus, we illustrate a temporal pattern of water balance amongst Darwinian hydrologic models, which allows for synthesis with the Newtonian approach and offers opportunities for progress in hydrologic modeling

Azimuthal vorticity and stream function in the creeping flow in a pipe

The article is devoted to the analytical study of the structure of steady non-uniform creeping flow in a cylindrical channel. There are many papers on the hydrodynamics of such flows, mainly related to the production of polymers. Previously we showed that the structure of steady non-uniform creeping flow in a cylindrical tube is determined by the Laplace equation relative to the azimuthal vorticity. The solution of Laplace's equation regarding the azimuthal vorticity is dedicated to the first half of the article. Fourier expansion allows us to write the azimuthal vortex in the form of two functions, the first of which depends only on the radial coordinate, and the second depends only on the axial coordinate. Fourier expansion can come to the Sturm - Liouville problem with a system of two differential equations, one of which is homogeneous Bessel equation. The radial-axial distribution of the azimuthal vorticity in the creeping flow is obtained on the basis of a rapidly convergent series of Fourier - Bessel. In the next article the radial-axial distribution of the stream function will be discussed. The solution is constructed from the Poisson equation based on the solution for the azimuthal vortex distribution. Fourier expansion can come to the Sturm - Liouville problem with a system of two differential equations, one of which is inhomogeneous Bessel equation. The inhomogeneous Bessel equation is solved through the Wronskian. The distribution of the stream function is obtained in the form of rapidly converging series of Fourier - Bessel

RUSSIA’S RESETTLEMENT POLICY IN CENTRAL ASIA IN LATE XIX TH CENTURY IN DOMESTIC JOURNALISM

В сообщении рассматривается отношение русских публицистов к переселенческому движению в Средней Азии в конце XIX в. Выявляются взгляды на ход колонизации представителей различных течений общественного движения России, их отношение к деятельности местной администрации по устройству переселенцев и решению земельного вопроса