Дослідження параметрів втрати енергії при впливі поїздів на колію при дерев'яних шпалах

The magnitude that quantitatively characterizes the process of interaction between the track and the rolling stock was determined as equivalent coefficient of dissipation (ECD). This coefficient, as an estimated magnitude, takes into account all kinds of friction forces in the process of dissipation – the forces of dry friction that depend on the deformation of the track structure, as well as viscous friction forces that depend on deformation velocity, and, possibly, other types of friction forces. These forces exert considerable effect on the characteristics of strength of a railway track and, therefore, on the safety of motion, which is why the research in this paper is quite relevant.Theoretical positions are presented that allow us to determine a mathematical formula for the calculation of ECD for rail supports of railway track.We detected the values of vertical and horizontal transverse ECD for the wooden sleepers, for which we used data of experimental studies carried out at 12 sections of Ukrainian railways with different operational conditions. Based on these data, dependence was established of ECD of rail supports in the vertical and horizontal plane on the magnitude of tonnage that passed the track. Results of the experiments indicate that with an increase in tonnage from 0 to 300 million tons, values of coefficients of dissipation in the vertical plane increase by 1.5–1.9 times, and in the horizontal plane – by about 1.3 times.Based on the aforementioned, there is a possibility of practical use of ECD to determine the current state of the track and a need for repair work.Предложен метод учета диссипативных сил, возникающих в пути при взаимодействии с подвижным составом, с использованием эквивалентного коэффициента диссипации (ЭКД), учитывающего все виды трения в конструкции. Даны теоретические положения для определения ЭКД. Экспериментально определены числовые значения ЭКД рельсовых опор и установлены эмпирические зависимости их изменений в процессе эксплуатации путиЗапропоновано метод урахування дисипативних процесів, що виникають в колії при взаємодії з рухомим складом, з використанням еквівалентного коефіцієнта дисипації (ЕКД), що враховує всі види тертя в конструкції. Надані теоретичні положення для визначення ЕКД. Експериментально визначені числові значення ЕКД рейкових опор і встановлено емпіричні залежності їх змін в процесі експлуатації колі

Self-Consistent Electron-Nucleus Cusp Correction for Molecular Orbitals

We describe a method for imposing the correct electron-nucleus (e-n) cusp in molecular orbitals expanded as a linear combination of (cuspless) Gaussian basis functions. Enforcing the e-n cusp in trial wave functions is an important asset in quantum Monte Carlo calculations as it significantly reduces the variance of the local energy during the Monte Carlo sampling. In the method presented here, the Gaussian basis set is augmented with a small number of Slater basis functions. Note that, unlike other e-n cusp correction schemes, the presence of the Slater function is not limited to the vicinity of the nuclei. Both the coefficients of these cuspless Gaussian and cusp-correcting Slater basis functions may be self-consistently optimized by diagonalization of an orbital-dependent effective Fock operator. Illustrative examples are reported for atoms (\ce{H}, \ce{He} and \ce{Ne}) as well as for a small molecular system (\ce{BeH2}). For the simple case of the \ce{He} atom, we observe that, with respect to the cuspless version, the variance is reduced by one order of magnitude by applying our cusp-corrected scheme.Comment: 23 pages, 5 figure

Synthesis and physico-chemical study of systems of co-precipitated Eu/Me hydroxides

The level of scientific and technical progress is determined in many respects by inorganic materials – phosphors, sorbents, catalysts, aluminates, chromates, ferrite. The luminescing materials are widely used in medicine, criminalistics, agriculture, in various industries. It creates prerequisites for improvement of methods of receiving phosphors and further research of influence of features of structure of firm phases of materials on their spectral properties. Initial substances for synthesis, the leading role belongs to oxides, hydroxides and systems on their basis. Red phosphors which part compounds of europium are of particular interest. The systems of in the common besieged hydroxides (CBH) received continuous sedimentation of water solutions of nitrates of Eu (III) and AI(III), Fe(III), Cr(III) alkali. The SOG systems were studied by methods of the physical and chemical analysis: differential and thermal, IR-spectroscopic, X-ray phase, X-ray fluorescent, power dispersive. Registration, the emitted luminescent radiation of Eu3+ in a system, in the field of 741.4-746.9 nanometers were carried out at a stage of crystallization of amorphous products. The dependence of intensity of a luminescence of systems on synthesis conditions was established

Feasibility study of the project of using own-produced mayonnaise at a public catering enterprise

The relevance of the issue considered in the paper follows from the current state of development of public catering, when the recipe components of industrial production (sauces, seasonings, marinades, semi-finished products, etc.) are replaced by products produced at the enterprises of the food industry. The technology and formulations of fat and oil products of emulsion nature - mayonnaise, enriched with biologically active additives with high nutritional and functional properties have been developed. The paper substantiates an approach to the feasibility study for the production of mayonnaise for functional purpose using acid-soluble chitosan, protein concentrate from sesame seeds and β-carotene at public catering establishments. On the basis of production and financial plans, analysis of project risks, an assessment of the economic efficiency from the introduction and implementation of the developed technological solutions was made. The production plan includes the following structural elements: the volume of capital investments, the capacity of the enterprise, the program for the production and sale of products, wages, the cost of fixed assets, the cost of production and sales of products. The financial plan included the volume of project financing, calculations of taxes, cash receipts and payments

Про наближення функції двох змінних лінійними додатними поліноміальними операторами

On approximation of two-variable function by linear positive polynomial operators.Про наближення функції двох змінних лінійними додатними поліноміальними операторами

Про найкраще наближення функцій двох змінних класу $Z_2$ деякими лінійними операторами

On the best approximation of two-variable functions of class $Z_2$by some linear operators.Про найкраще наближення функцій двох змінних класу$$$Z_2$$$ деякими лінійними операторами

The analysis of unemployment development in a selected region

The aim of this thesis capable with analyzing of unemployment in the Russian federation. Attention of readers drawn to the definition of the main determinants that influence on macroeconomic indicators. The thesis divided into two parts, theoretical and practical. Theoretical part of the work includes an introduction, focusing on the concepts of the topic and explains the context for understanding the issue, using the opinions of the most important world economists. In the practical part there are made analysis with specific data for the Russian Federation in the area of unemployment. Comparative and descriptive methods have been used in the thesis. Were identified factors affecting the overall unemployment rate processes associated with structural changes in the economy, the development of new economic forms, the privatization of the treatment with the introduction of the principle of voluntary work, as well as factors slowing labor costs for the working process

Soybean testa spectral study

The increasing production volumes of soy foods require new express methods for testing soybeans during processing and presowing. This study assessed the efficiency of spectral pre-sowing assessment methods using Vilana soybeans. The research featured soybeans of the Vilana cultivar. The control sample consisted of untreated whole soybeans while the test samples included soybeans pretreated with various modifiers. The methods involved spectrofluorimetry and IR-Fourier spectrometry. A wide emission band at 400–550 nm corresponded to the fluorescence of the soybean testa. The band at 560–610 nm indicated the presence of such modifiers as Imidor insecticide and Deposit fungicide. The luminescence spectrum of the untreated soybean testa was maximal at 441 nm. The luminescence spectrum of the treated soybean samples was maximal at 446.5 and 585 nm when the excitation wavelength was 362 nm. The fluorescence was studied both spectrally and kinetically to establish the maximal luminescence time and the typical vibration frequencies. The spectral studies of Vilana soybeans before and after treatment revealed which modifiers were adsorbed on the palisade epidermis and defined the type of interaction between the modifier and the soybean. The spectrofluorimetry and IR spectroscopy proved able to provide a reliable qualitative and quantitative analysis of Vilana soybean surface