T-duality of the Green-Schwarz superstring

We study T-duality in the Green-Schwarz formalism to all orders in superspace coordinates. We find two analogs of Buscher rules for the supervielbein and clarify their meaning from the superstring point of view. The transformation rules for the dilaton, spin 1/2 fermions and Ramond-Ramond superfields are also derived.Comment: 21 pages, late

Методологія створення капсульованих лікарських форм з продуктами бджільництва. Повідомлення II

On the basis of experimental studies the authors have demonstrated that a topical issue of the pharmaceutical science today is development of the rational therapeutic dosage forms based on standardized biologically active substances of bee products that have specific chemical and pharmacological properties for new domestic, natural, highly effective drugs for prevention and treatment of ulcer diseases of the human gastroduodenal area. The pharmaceutical market of drugs with the antiulcer activity of different dosage forms has been analyzed. It has been found that dosage forms produced in a small range are economically and socially efficient for further development of a completely new drug based on bee products. Today science has proven that encapsulated dosage forms are promising. This dosage form is a cost effective, and allows to encapsulate various drugs from substances in the solid state to liquid and pasty ingredients. Research in recent years has confirmed that the choice of a rational dosage form of drugs in combination with excipients provide the optimal pharmacological effect of drugs under development, which production is possible both in industrial and pharmacy conditions.На основе экспериментальных исследований авторами показано, что актуальной темой фармацевтической науки сегодня является разработка рациональных терапевтических лекарственных форм на основе биологически активных стандартизированных субстанций продуктов пчеловодства, которые имеют специфические химические и фармакологические свойства для новых отечественных, природных, высокоэффективных лекарственных средств для профилактики и лечения язвенных заболеваний гастродуоденальной зоны человека. Проанализированы фармацевтический рынок лекарственных препаратов противоязвенной активности различных лекарственных форм и выяснено, что лекарственные формы, которые производятся в незначительном ассортименте экономически и социально целесообразны для дальнейшей разработки нового лекарственного препарата на основе продуктов пчеловодства. Сегодня наукой доказано, что перспективными в данном исследовании являются капсулированные лекарственные формы. Данная лекарственная форма экономически выгодна и позволяет капсулировать различные лекарственные средства, начиная с веществ, которые находятся в твердом состоянии, до жидких и пастообразных ингредиентов. Научными исследованиями последних лет подтверждено, что выбор рациональной лекарственной формы лекарственных веществ в комплексе со вспомогательными соединениями обеспечивает оптимальное фармакологическое действие разрабатываемых препаратов, изготовление которых возможно как в промышленных, так и в аптечных условиях.На основі експериментальних досліджень авторами показано, що актуальною темою фармацевтичної науки сьогодення є розробка раціональних терапевтичних лікарських форм на основі біологічно активних стандартизованих субстанцій продуктів бджільництва, які мають специфічні хімічні і фармакологічні властивості для створення нових вітчизняних, природних, високоефективних лікарських засобів для профілактики та лікування виразкових захворювань гастродуоденальної зони людини. Проаналізовано фармацевтичний ринок лікарських препаратів противиразкової активності різних лікарських форм і з’ясовано, що лікарські форми, які виробляються в незначному асортименті, є економічно і соціально доцільними для подальшої розробки нового лікарського препарату на основі продуктів бджільництва. На теперішній час наукою доведено, що перспективними у даних дослідженнях є капсульовані лікарські форми. Досліджувана лікарська форма економічно вигідна та дозволяє капсулювати різноманітні лікарські засоби: від речовин, які знаходяться в твердому стані, до рідких і пастоподібних інгредієнтів. Науковими дослідженнями останніх років підтверджено, що вибір раціональної лікарської форми лікарських речовин у комплексі з допоміжними сполуками забезпечує оптимальну фармакологічну дію розроблюваних препаратів, виготовлення яких можливе як у промислових, так і в аптечних умовах

On the forward cone quantization of the Dirac field in "longitudinal boost-invariant" coordinates with cylindrical symmetry

We obtain a complete set of free-field solutions of the Dirac equation in a (longitudinal) boost-invariant geometry with azimuthal symmetry and use these solutions to perform the canonical quantization of a free Dirac field of mass $M$. This coordinate system which uses the 1+1 dimensional fluid rapidity $\eta = 1/2 \ln [(t-z)/(t+z)]$ and the fluid proper time $\tau = (t^2-z^2)^{1/2}$ is relevant for understanding particle production of quarks and antiquarks following an ultrarelativistic collision of heavy ions, as it incorporates the (approximate) longitudinal "boost invariance" of the distribution of outgoing particles. We compare two approaches to solving the Dirac equation in curvilinear coordinates, one directly using Vierbeins, and one using a "diagonal" Vierbein representation

Assessment of Productive Potential of Peanut Varieties (Arachis hypogaea L.) from the Bulgarian Breeding Program and Opportunities for Genetical Improvement

The study was conducted in the experimental field of IPGR Sadovo in the period 2016-2017. Three peanut varieties type Valencia from the Bulgarian breeding program: Kalina, Kremena and Tsvetelina, are morphologically assessed. The aim of the study is to establish the possibility of genetic control over indicators directly related to productivity. The influence of the variety, the impact of the climate and the growing conditions, as well as the effect of the two factors on gynophores number, the fruit number and their weight were investigated. The relations between the studied signs are clarified. The components of the variation, phenotypic and genotypic variance are evaluated. The genetic progress and the genetic progress as a percentage of the mean are defined. The results show that the conditions of the environment are the strongest sources of variation for the studied signs. The gynophores number and the fruit number per plant are in direct positive relation to the fruit weight per plant as an element of the yield. In the studied components of the yield there is no possibility for genetic control. Their manifestation depends on applied agro-technology and the meteorological conditions. The future breeding work for obtaining high-yield peanut varieties requires finding out signs indirectly related to increasing the fruit weight per plant and possessing genetic control

Automation of monitoring in gas producing company

Specific character of monitoring in gas producing company has been considered. Corporate geoinformation system «Magistral-Vostok» for controlling gas producing enterprises was suggested, the experience of this system introduction in «Vostokgasprom» was describe

Lieb-Thirring Bound for Schr\"odinger Operators with Bernstein Functions of the Laplacian

A Lieb-Thirring bound for Schr\"odinger operators with Bernstein functions of the Laplacian is shown by functional integration techniques. Several specific cases are discussed in detail.Comment: We revised the first versio

Black hole and naked singularity geometries supported by three-form fields

We investigate static and spherically symmetric solutions in a gravity theory that extends the standard Hilbert-Einstein action with a Lagrangian constructed from a three-form field $A_{\alpha \beta \gamma}$, which is related to the field strength and a potential term. The field equations are derived from a variational principle and are obtained explicitly for a static and spherically symmetric geometry in vacuum. For the case of the vanishing three-form field potential the gravitational field equations can be solved exactly. However, for arbitrary potentials, due to their mathematical complexity, numerical approaches are adopted in studying the behavior of the metric functions and the three-form field. To this effect, the field equations are reformulated in a dimensionless form and are solved numerically by introducing a suitable independent radial coordinate. We detect the formation of a black hole from the presence of a Killing horizon for the time-like Killing vector in the metric tensor components. Several models, corresponding to different functional forms of the three-field potential, namely, the Higgs and exponential type, are considered. In particular, naked singularity solutions are also obtained for the exponential potential case. Finally, the thermodynamic properties of these black hole solutions, such as the horizon temperature, specific heat, entropy and evaporation time due to the Hawking luminosity, are also investigated in detail.Comment: 19 pages, 22 figures; minor modifications, accepted for publication in EPJ

Invisible sunspots and rate of solar magnetic flux emergence

Aims. We study the visibility of sunspots and its influence on observed values of sunspot region parameters. Methods. We use Virtual Observatory tools provided by AstroGrid to analyse a sample of 6862 sunspot regions. By studying the distributions of locations where sunspots were first and last observed on the solar disk, we derive the visibility function of sunspots, the rate of magnetic flux emergence and the ratio between the durations of growth and decay phases of solar active regions. Results. We demonstrate that the visibility of small sunspots has a strong centre-to-limb variation, far larger than would be expected from geometrical (projection) effects. This results in a large number of young spots being invisible: 44% of new regions emerging in the west of the Sun go undetected. For sunspot regions that are detected, large differences exist between actual locations and times of flux emergence, and the apparent ones derived from sunspot data. The duration of the growth phase of solar regions has been, up to now, underestimated