Nonlocal symmetries of integrable two-field divergent evolutionary systems

Nonlocal symmetries for exactly integrable two-field evolutionary systems of the third order have been computed. Differentiation of the nonlocal symmetries with respect to spatial variable gives a few nonevolutionary systems for each evolutionary system. Zero curvature representations for some new nonevolution systems are presented

Suspensions Thermal Noise in the LIGO Gravitational Wave Detector

We present a calculation of the maximum sensitivity achievable by the LIGO Gravitational wave detector in construction, due to limiting thermal noise of its suspensions. We present a method to calculate thermal noise that allows the prediction of the suspension thermal noise in all its 6 degrees of freedom, from the energy dissipation due to the elasticity of the suspension wires. We show how this approach encompasses and explains previous ways to approximate the thermal noise limit in gravitational waver detectors. We show how this approach can be extended to more complicated suspensions to be used in future LIGO detectors.Comment: 28 pages, 13 figure

Production of para-- and orthopositronium at relativistic heavy ion colliders

We consider the ortho-- and parapositronium production in the process $AA \to AA+$ Ps where A is a nucleus with the charge number Z. The inclusive cross section and the energy distribution of the relativistic Ps are calculated which are of primary interest from the experimental point of view. The accuracy of the corresponding cross sections is given by omitting terms $\sim (Z\alpha )^2/L^2$ for the para--Ps and $\sim (Z\alpha)^2/L$ for the ortho--Ps production where $L=\ln{\gamma^2} \approx 9$ and 16 for the RHIC and the LHC. Within this accuracy the multiphoton (Coulomb) corrections are taken into account. We show that the RHIC and the LHC will be Ps factories with a productions rate of about $10^5 \div 10^8$ relativistic Ps per day. The fraction of the ortho--Ps is expected to be of the same order as that of the para--Ps for Au--Au and Pb--Pb collisions.Comment: 22 pages, 5 figures, RevTeX, misprint correcte

Smart educational multifunctional audience

The article discusses the prospects for creating a smart multifunctional classroom at the Department of Information Systems and Technologies of the Institute of Engineering and Pedagogical Education "Russian State Vocational Pedagogical University»В статье рассматривается перспективы создания умной многофункциональной учебной аудитории на базе кафедры информационных систем и технологий института инженерно-педагогического образования «Российского государственного профессионально-педагогического университета

Status of the NICA project at JINR

AbstractThe NICA (Nuclotron-based Ion Collider fAcility) project is now under active realization at the Joint Institute for Nuclear Research (JINR, Dubna). The main goal of the project is a study of hot and dense strongly interacting matter in heavy ion (up to Au) collisions at the centre-of-mass energies up to 11 GeV per nucleon. Two modes of operation are foreseen, collider mode and extracted beams, with two detectors: MPD and BM@N. The both experiments are in preparation stage. An average luminosity in the collider mode is expected as 10E27 cm-2 s-1 for Au (79+). Extracted beams of various nucleus species with maximum momenta of 13 GeV/c (for protons) will be available. A study of spin physics with extracted and colliding beams of polarized deuterons and protons at the energies up to 27 GeV (for protons) is foreseen with the NICA facility. The proposed program allows one to search for possible signs of phase transitions and critical phenomena as well as to shed light on the problem of thenucleon spin structure

TOOLKIT FOR SELECTING TECHNOLOGY AS A TRANSFER OBJECT UNDER MULTI-CRITERIA CONDITIONS

The article analyzes the features of the development of small and medium-sized enterprises (SMEs) in the context of the COVID-19 pandemic. There revealed the negative trends associated with the disproportionality of the sectoral structure of the business and the low enterprises’ innovative activity. The key measures of state support for entrepreneurship taken by the Government of the Russian Federation in the period 2020–2021 are considered. The expediency of stimulating small and medium-sized businesses to participate in the process of technology transfer is determined, based on which the main purpose of the study is formulated, associated with the formation of economic and mathematical tools for choosing a technology for further implementation in the practice of SMEs. The research substantiates the expediency of using the fuzzy-multiple simplified method of analysis of hierarchies by Saaty for choosing technological solutions from a finite number of available alternatives, taking into account the interests of small and medium-sized businesses. The proposed approach makes it possible to increase the degree of validity of management decisions by reducing the volume of metamathematical operations and reducing the impact of subjectivism