Arak Inequalities for Concentration Functions and the Littlewood--Offord Problem: a shortened version

Let $X,X_1,\ldots,X_n$ be independent identically distributed random variables. In this paper we study the behavior of concentration functions of weighted sums $\sum_{k=1}^{n} X_k a_k$ with respect to the arithmetic structure of coefficients~$a_k$ in the context of the Littlewood--Offord problem. Concentration results of this type received renewed interest in connection with distributions of singular values of random matrices. Recently, Tao and Vu proposed an Inverse Principle in the Littlewood--Offord problem. We discuss the relations between the Inverse Principle of Tao and Vu as well as that of Nguyen and Vu and a similar principle formulated for sums of arbitrary independent random variables in the work of Arak from the 1980's. This paper is a shortened and edited version of the preprint arXiv:1506.09034. Here we present the results without proofs.Comment: 9 pages. shortened version of arXiv:1506.0903

Problem of socio-professional adaptation of young assistant professors of high school in contemporary Russia

This article pays attention to the problem of socio-professional adaptation of young assistant professors in the universities. Author considers the notion “adaptation”, “socio-professional adaptation.” Much space is devoted to considering problems dealing with adaptation of young teaches (low professional status of teaches, low level of salary and so on.)В статье рассматривается понятие «социально-профессиональная адаптация», обосновывается необходимость ее дальнейшего изучения в социологии. Автор анализирует ряд проблем, связанных с плохой адаптацией молодых преподавателей в вузах современной России (низкий профессиональный статус преподавателя, отсутствие прироста молодых педагогов в вузы и пр.)

Shelf life extension of minimally processed vegetables using combinations of bacterial bioprotection and modified atmosphere packaging

The objective of the work: to study the effect of combination of bacterial bioprotective cultures and modified atmosphere packaging for prolonging the refrigerated storage period of minimally processed vegetables. Sweet pepper, zucchini, eggplant, celery stalks were used for preparation of minimally processed vegetables. SafePro® bio-products from Chr. Hansen (Denmark) containing strains of Lactobacillus sakei, Pediococcus acidilactici, Lactobacillus сurvatus, Leuconostoc carnosum were used as bioconservatives. For packaging minimally processed vegetables, the bags made of flat multilayer PA/adhesive/PE films and composite PET/A1/PE film material were used. The bags were filled with gas mixtures including nitrogen and carbon dioxide. Storage of packaged minimally processed vegetables was carried out in a refrigerator at a temperature of (4 ± 2) °C for 16 days. The viability of cultures Lactobacillus sakei, Pediococcus acidilactici, Lactobacillus curvatus, Leuconostoc carnosum in modified atmosphere packaging was studied. It was revealed that the gas mixture of 60% nitrogen and 40% carbon dioxide and the culture of Lactobacillus sakei contribute to the preservation of the quality of fresh-cutsweet pepper, eggplant and zucchini, and Leuconostoc carnosum is the more effective for celery storing. In the process of refrigerated storage for 14 days, the solids content in the experimental samples increased 1.3–2.1 times, the loss of organic substances was 26–50%, depending on the type of vegetables. The developed technology for the refrigeration preservation of minimally processed vegetables using bio-products treatment and in modified atmosphere packaging made it possible to increase the shelf life of fresh-cut vegetables by 2 times

Statistics of Neutron Stars at the Stage of Supersonic Propeller

We analyze the statistical distribution of neutron stars at the stage of a supersonic propeller. An important point of our analysis is allowance for the evolution of the angle of inclination of the magnetic axis to the spin axis of the neutron star for the boundary of the transition to the supersonic propeller stage for two models: the model with hindered particle escape from the stellar surface and the model with free particle escape. As a result, we have shown that a consistent allowance for the evolution of the inclination angle in the region of extinct radio pulsars for the two models leads to an increase in the total number of neutron stars at the supersonic propeller stage. This increase stems from he fact that when allowing for the evolution of the inclination angle $\chi$ for neutron stars in the region of extinct radio pulsars and, hence, for the boundary of the transition to the propeller stage, this transition is possible at shorter spin periods (P~5-10 s) than assumed in the standard model.Comment: 15 pages, 6 figures; scale corrected for figures 3-

Properties and thermo-oxidative stability of the dewaxed residual product of the vacuum gas oil hydrocracking process

The article describes the possibilities of using remote monitoring of an intelligent network. The architecture for intelligent monitoring systems in the power industry is considered. The equipment for remote monitoring is described