Invariants of pseudogroup actions: Homological methods and Finiteness theorem

We study the equivalence problem of submanifolds with respect to a transitive pseudogroup action. The corresponding differential invariants are determined via formal theory and lead to the notions of k-variants and k-covariants, even in the case of non-integrable pseudogroup. Their calculation is based on the cohomological machinery: We introduce a complex for covariants, define their cohomology and prove the finiteness theorem. This implies the well-known Lie-Tresse theorem about differential invariants. We also generalize this theorem to the case of pseudogroup action on differential equations.Comment: v2: some remarks and references addee

SDiff(2) and uniqueness of the Pleba\'{n}ski equation

The group of area preserving diffeomorphisms showed importance in the problems of self-dual gravity and integrability theory. We discuss how representations of this infinite-dimensional Lie group can arise in mathematical physics from pure local considerations. Then using Lie algebra extensions and cohomology we derive the second Pleba\'{n}ski equation and its geometry. We do not use K\"ahler or other additional structures but obtain the equation solely from the geometry of area preserving transformations group. We conclude that the Pleba\'{n}ski equation is Lie remarkable

NON-SPECIFIC PROTECTION FACTORS AND INFLAMMATORY MEDIATORS IN URINE OF CHILDREN WITH GLOMERULONEPHRITIS IN THE PRESENCE OF HERPESVIRAL INFECTION. NOTICE I. DETERMINATION OF SIGA AND MCP-1

The aim of this work was the study of indicators characterizing the local immunity in patients with various forms of glomerulonephritis by presence of herpesviral infection. Materials and methods. A quantitative estimation of the content of sIgA and MCP-1 in urine of 47patients with glomerulonephritis and 10 apparently healthy individuals was conducted. Results. The decrease of sIgA level and reliable increase ofMCP-1 level were observed in urine of patients with glomerulonephritis. There was a significant increase in the level of these indices in hormone-resistant patients with nephrotic form of glomerulonephritis; in patients with severe course of the disease and also in the absence of remission. More such changes were found in children with active (reactivated) herpesviral infections. Conclusion. There has been confirmed the importance of the study of immunologic parameters in the urine of patients with glomerulonephritis to characterize immunopathological process in the kidney and prognosis of the disease

NON-SPECIFIC PROTECTION FACTORS AND INFLAMMATORY MEDIATORS IN URINE OF CHILDREN WITH GLOMERULONEPHRITIS IN THE PRESENCE OF HERPESVIRAL INFECTION NOTICE 2. DETERMINATION OF THE LEVEL OF IL-8 AND SLPI

The aim of this work was the study of indicators characterizing the local immunity in patients with various forms of glomerulonephritis by presence of herpesviral infection. Materials and methods. A quantitative estimation of the content of IL-8 and SLPI in urine of 47 patients with glomerulonephritis and 10 apparently healthy individuals was conducted. Results. A insignificant increase of IL-8 level in urine was showed in patients with glomerulonephritis. The level of urinary SLPI was reliably higher than the control value, at the same time the majority ofpatients (74,0 %) did not exceed the upper limit of the physiological norm. The essential increase ofIL-8 level in urine was observed in 13 sick children, and of SLPI – in 12 patients. The increase of IL-8 and SLPI levels was observed more frequently in patients with hematuric form of glomerulonephritis, with nephrotic steroidoresistant variant of nephrotic form, in the absence of remission, and in the case of IL-8 - with severe course of the disease. More such changes were found in children with active (reactivated) herpesviral infections. Conclusion. There has been confirmed the importance of the study of immunologic parameters in the urine of patients with glomerulonephritis to characterize immunopathological process in the kidney and prognosis of the disease

Modern approaches for extraterrestrial matter collection

Представлены результаты работы, направленной на повышение эффективности поиска внеземного вещества с использованием методов наблюдательной астрономии. Описываются методика проведения наблюдений, принципы построения болидной сети и особенности ее организации. Обсуждаются вопросы сбора вещества в холодных и горячих пустынях.We present results of the activity aimed at increase in search efficiency of extraterrestrial matter collection, using methods of observational astronomy. Approaches for observations and technical features of appropriate fireball network structure are described. Results of traditional meteorite collection in cold and hot deserts with accumulation mechanisms are compared to modern methods.Работа выполнена в рамках государственного задания ФАНО России (тема «Деформация», №01201463327), проекта УрО РАН №15-17-2-11 при финансовой поддержке Министерства образования и науки Российской Федерации (базовое финансирование по проекту № 5162) и Правительства Российской Федерации (постановление №211, контракт №02.А03.21.0006)

Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov--Burgers system revisited

We consider the Burgers-type system studied by Foursov, w_t &=& w_{xx} + 8 w w_x + (2-4\alpha)z z_x, z_t &=& (1-2\alpha)z_{xx} - 4\alpha z w_x + (4-8\alpha)w z_x - (4+8\alpha)w^2 z + (-2+4\alpha)z^3, (*) for which no recursion operator or master symmetry was known so far, and prove that the system (*) admits infinitely many local generalized symmetries that are constructed using a nonlocal {\em two-term} recursion relation rather than from a recursion operator.Comment: 10 pages, LaTeX; minor changes in terminology; some references and definitions adde

Energy-efficient technologies in the educational programs of the architectural higher education schools

The world trends in modern construction correspond to the ecological, rational design, according to "green" standards and applications of the building information modeling – BIM. Herein, we give a short review and some examples of Green, BIM technologies, in different countries. For more effective implementation of "green" building, it is necessary to introduce corresponding thematic in the higher education. Based on a comprehensive analysis of the articles, we described the competencies that a University Graduate must possess, for successful implementation in the industry AEC. Despite the absence of common methods, we developed a practice-oriented approach for teaching students Green BIM technologies and here integration these technologies into the educational process is considered. Some projects of energy-efficient objects, created by students of University of Architecture and Art, meeting requirements of "green" standards, are presented. © 2020, Budapest Tech Polytechnical Institution. All rights reserved

СПОСОБ РЕАЛИЗАЦИИ ИНФОРМАЦИОННОЙ МОДЕЛИ ОБСТАНОВКИ В АВТОМАТИЗИРОВАННОЙ СИСТЕМЕ УПРАВЛЕНИЯ

The new way, allowing to define quantity of hierarchical levels in management, in relation to information model of an automated control system, and allowing to optimize load of the person making the decision is offered.Предложен способ нахождения количественной оценки числа иерархических уровней управления информационной моделью автоматизированной системы управления (АСУ) с целью оптимизации загруженности лица, принимающего решение

Analysis of the Results of Cholera Vibrios Monitoring in Environmental Objects in the Administrative Territories of the Russian Federation Using GIS “CHOLERA 1989–2014”

Objective of the work was to compare the results of monitoring of Vibrio cholerae strains isolated in the territories of federal districts, their constituent entities and from certain water bodies between 2006–2016. Based on the methodology, using updated geoinformation system “Cholera 1989–2014”, a comparative study of the dynamics of isolation and biological properties of 586 Vibrio cholerae O1, O139 strains and R-variants, collected from the surface water bodies in the administrative territories of Russia, was carried out. Eventually it is established that Vibrio cholerae strains of various serogroups are found in the territory of all federal districts, but not in all the entities included in them. It is shown that the greatest number of isolated strains was registered in the Southern Federal District. The overwhelming number of Vibrio cholerae strains, isolated in the country, were non-toxigenic. It was noted that against the background of epidemiological welfare, the detection of single epidemiologically significant strains continued (Rostov Region).ctxA–tcpA+ strains were found in the Southern, Far Eastern and North-Western Federal Districts. It is established that until 2013 in five constituent entities strains of Vibrio cholerae O1 and O139 in water bodies were not detected. Non-toxigenic strains of Vibrio cholerae O1 El Tor Ogawa serovar prevailed in the territories of the Southern and Ural, and Inaba serovar – in the remaining Federal Districts.The most frequently isolated were non-toxigenic Vibrio cholerae O1 strains with phagotype 15, while isolates with phagotypes 4, 5, 10, 14 and 17 were traced only in the Southern Federal District. The data obtained formed the basis of the approach that contributes to a comprehensive assessment of the epidemiological situation on cholera in the territory of Russia and highlighted the prospects for using GIS to improve the effectiveness of cholera vibrio monitoring in surface water bodies

Cholera Vibrios non-O1/non-O139 Isolated in the Process of Epidemiological Monitoring over Rostov-on-Don Water Basins and Drain Sewage System within the Period of 2009–2011

Studied have been biological properties of cholera vibrios non-O1/non-O139 circulating in the Rostov-on-Don surface waters and drain sewage system within the period of 2009–2011. Overwhelming majority of the isolates have been classified as typical ones in terms of their phenotype. However 90 strains (21 %) out of total 280 have been identified as atypical ones against agglu­tina­bility in the slide-agglutination and full-scale agglutination reaction to diagnostic cholera sera. Put forward are recommendations on performance of the differentiation between V. cholerae non-O1/non-O139 and V. cholerae O1/O139. Specified are predominant sero­groups of the strains which turned to be unchanged within the stated period (O16, O53, O76, and O67). Revealed is the strain genotype variability and low probability of virulence manifestations. Demonstrated is the futility of the blind gene- and serological typing of aquatic strains