Prediction of the properties anhydrite construction mixtures based on neural network approach

The article considered the question of applying the backstop modeling mechanism from the components of anhydride mixtures in the process of managing the technological processes of receiving construction products which based on fluoranhydrite

Finite Hilbert stability of (bi)canonical curves

We prove that a generic canonically or bicanonically embedded smooth curve has semistable m-th Hilbert points for all m. We also prove that a generic bicanonically embedded smooth curve has stable m-th Hilbert points for all m \geq 3. In the canonical case, this is accomplished by proving finite Hilbert semistability of special singular curves with G_m-action, namely the canonically embedded balanced ribbon and the canonically embedded balanced double A_{2k+1}-curve. In the bicanonical case, we prove finite Hilbert stability of special hyperelliptic curves, namely Wiman curves. Finally, we give examples of canonically embedded smooth curves whose m-th Hilbert points are non-semistable for low values of m, but become semistable past a definite threshold. (This paper subsumes the previous submission and arXiv:1110.5960).Comment: To appear in Inventiones Mathematicae, 2012. The final publication is available at http://www.springerlink.co

Effect of agrotechnological elements on milk thistle (Silynum marianum) productivity

The milk thistle is a highly valuable medicinal plant, widely used in treatment of liver diseases. Soil-climate conditions of the steppe zone of Ukraine are favourable for crop cultivation. The goal of the study was to determine relations between milk thistle productivity and elements of cultivation technology, viz., primary tillage depth (14–16 and 20–22 cm), inter-row spacing (30, 45, 60 cm), timing of sowing (3rd decade of March, middle of April, 3rd decade of April) and mineral fertilizer application doses (no fertilizers, N45P45, N90P90). Field trials were carried out during the period from 2010 to 2012 on the irrigated lands of the Institute of Rice of the National Academy of Agrarian Sciences of Ukraine by using the split plot design method in four replications. The climate of the territory of the trials is typical for the steppe zone. The soil type was dark-chestnut residual solonetz middle-loamy soil. We used the Yuhoslava variety of milk thistle in the trials. Cultivation technology was standard, excluding the studied factors. The results of the trials showed significant impact of all the studied cultivation technology elements on milk thistle seed and oil yields. The maximum average seed (1.66 t/ha) and oil (489 kg/ha) yields were obtained under the primary tillage at the depth of 20–22 cm, inter-row spacing of 60 cm, sowing in the 3rd decade of March, applying mineral fertilizers in a dose of N90P90. The highest input in seed and oil yields rise was made by the mineral fertilizers, which increased milk thistle productivity by 1.57 times comparatively with non-fertilized treatments. We also established a strong direct interrelationship between seed and oil yield: coefficient of determination was 0.96. Results of the current study are slightly limited, so further investigations in the field of milk thistle cultivation technology development and improvement are required to provide Ukrainian farmers with scientifically grounded agrotechnology of this valuable medicinal plant

Amateur sport and emotional burnout formation in high school students

Practicing sports, as well as physical activity in general, contribute to a healthy lifestyle, help to prevent numerous chronic diseases, and play a therapeutic role in addressing a number of cognitive and psychological disorders (such as depression, distorted body image and self-perception and low self-esteem). As regards students, freshmen with higher physical capabilities can better adapt to new college environment, which in turn influences their well-being, psychological state and ability to study. The aim of our study was to detect the level of emotional burnout and individual psychological characteristics of the university students, engaged in amateur sports. It was shown that the group of amateur sportsmen demonstrated higher level of arousal and mobility of neural processes, and lower level of neuroticism, lower level of neurotisation, anxiety, psychic tension and depression. This allows us to conclude that the type of nervous system may define the disposition toward the physical activity, and the strength of nervous system determines the ability to achieve success in sports. Our data indicate that practicing sports prevent the development of burnout, reduce the negative impact of daily emotional stress and provide a socially acceptable way to express aggression

The Ag2S– GeS2 System and the Crystal Structure of Ag2GeS3

Диаграмма фазовых равновесий системы Ag2S–GeS2 была построена, используя результаты дифференциально-термического и рентгенофазового анализа. Подтверждено существование трёх соединений: Ag8GeS6, Ag10Ge3S11 и Ag2GeS3. Соединения Ag8GeS6 и Ag2GeS3 плавятся конгруэнтно при 1221 K и 922 K соответственно и являются диморфными. Для Ag10Ge3S11 характерен инкон- груэнтный тип образования при 1015 K. Рентгеновским методом порошка уточнена кристаллическая структура Ag2GeS3 (ПГ Cmc21, a = 1,17895(9) нм, b = 0,70751(5) нм, c = 0,63420(5) нм, RI = 0,0702) Phase equilibria diagram of the Ag2S–GeS2 system was investigated using the results of differential thermal analysis and X-ray diffraction. The existence of three compounds, Ag8GeS6, Ag10Ge3S11 and Ag2GeS3, was confirmed. Ag8GeS6 and Ag2GeS3 melt congruently at 1221 K and 922 K, respectively; these compounds are dimorphous. Ag10Ge3S11 is characterized by the incongruent type of formation at 1015 K. The crystal structure of Ag2GeS3 was refined using X-ray powder method (space group Cmc21, a = 1,17895(9) nm, b = 0,70751(5) nm, c = 0,63420(5) nm, RI = 0,0702)

Proceedings of the third French-Ukrainian workshop on the instrumentation developments for HEP

The reports collected in these proceedings have been presented in the third French-Ukrainian workshop on the instrumentation developments for high-energy physics held at LAL, Orsay on October 15-16. The workshop was conducted in the scope of the IDEATE International Associated Laboratory (LIA). Joint developments between French and Ukrainian laboratories and universities as well as new proposals have been discussed. The main topics of the papers presented in the Proceedings are developments for accelerator and beam monitoring, detector developments, joint developments for large-scale high-energy and astroparticle physics projects, medical applications.Comment: 3rd French-Ukrainian workshop on the instrumentation developments for High Energy Physics, October 15-16, 2015, LAL, Orsay, France, 94 page

Volumes of polytopes in spaces of constant curvature

We overview the volume calculations for polyhedra in Euclidean, spherical and hyperbolic spaces. We prove the Sforza formula for the volume of an arbitrary tetrahedron in $H^3$ and $S^3$. We also present some results, which provide a solution for Seidel problem on the volume of non-Euclidean tetrahedron. Finally, we consider a convex hyperbolic quadrilateral inscribed in a circle, horocycle or one branch of equidistant curve. This is a natural hyperbolic analog of the cyclic quadrilateral in the Euclidean plane. We find a few versions of the Brahmagupta formula for the area of such quadrilateral. We also present a formula for the area of a hyperbolic trapezoid.Comment: 22 pages, 9 figures, 58 reference