Some Generalizations of Riesz-Fisher Theorem

In the paper are obtained the generalizations of Housdorff-Young, Riesz and Paley type theorems with respect to uniformly orthonormed system for the case of the space L(p,q) with the mixed norm

The application of legal-statistical method in analysing manufacturing property’s institutional development

Purpose: The study defines the specifics and opportunities, that arise due to the application of statistical method in judicial research of manufacturing property. Design/Methodology/Approach: The authors put the ground of the study on the aggregation of a vast spectrum of statistical data and indicators of patent activity of leading countries in the sphere of technological innovation. Findings: The authors outlined the main tendencies of legal regulation of scientific and artistic results of intellectual property development and define the specifics and opportunities that arise due to the application of statistical method in judicial research of manufacturing property. Lack of coordination of approaches to protect manufacturing property on the international level, obstructs the development of patent activity amongst the members of the Paris Convention and significantly reduces the effectiveness of the current patent system. Practical implications: Authors' development could be utilized in future developments of Russian institute of manufacturing property and its legal framework. Originality/Value: The contribution of the article is the comprehensive analysis of legal background of intellectual property institute and its development prospects.peer-reviewe

RESEARCH OF STATIONARY OPERATING MODES OF THERMOELECTRIC HEATEXCHANGE DEVICES

The necessity of detailed research, relevant consume cal semiconductor heat transfer devices. Distinctive features of thermoelectric devices flow type caused by the change of temperature of streams of coolant along the junctions of termoelectromotoare are identified. Differential equations systems determining the temperature change of the coolants, excluding from them the values of the temperatures of the junctions are used. A mathematical model for parallel flow and counter-flow thermoelectric heat pumps has been constuctucted. A mathematical model of a thermoelectric heat exchanger without any flows of heat in the gaps between the semiconductors has been developed. The cooled and heated liquids temperature dependences at the outlet of the heat exchanger from the heat transfer coefficient to the inner surface of the heat exchanger and reduced heat transfer coefficient from the outer surface of the heat exchanger have been constucted. It is proved that for the same values of heat transfer coefficient to the inner surface of the heat exchanger and reduced heat transfer coefficient from the outer surface of the heat exchanger reducing the temperature of fluid to be cooled significantly more than the increase in the temperature of the heated liquid. The main results obtained by the model are summarized. The analysis is carried out using MathCAD

Interband electron Raman scattering in a quantum wire in a transverse magnetic field

Electron Raman scattering (ERS) is investigated in a parabolic semiconductor quantum wire in a transverse magnetic field neglecting by phonon-assisted transitions. The ERS cross-section is calculated as a function of a frequency shift and magnetic field. The process involves an interband electronic transition and an intraband transition between quantized subbands. We analyze the differential cross-section for different scattering configurations. We study selection rules for the processes. Some singularities in the Raman spectra are found and interpreted. The scattering spectrum shows density-of-states peaks and interband matrix elements maximums and a strong resonance when scattered frequency equals to the "hybrid" frequency or confinement frequency depending on the light polarization. Numerical results are presented for a GaAs/AlGaAs quantum wire.Comment: 8 pages, 5 figure

CRIOTHERMOAPPLICATIONAL THERAPY IN NEUROLOGY WITH THE USE OF THERMOELECTRIC ENERGY CONVERTERS

Aim. The etiology of neurological diseases caused by stress situations and other signs of technological progress is analyzed.Methods. The methods of physical therapy effects on the human body used in therapeutic neurology, which are of high priority because of safety and noninvasiveness are investigated.Results.The necessity of using thermoelectric converters in therapeutic neurology is proved. The design of the semiconductor thermoelectric device for massage with the detailed description of the working principle is suggested. The advantages of the developed design of the device are pointed out, consisting in high environmental safety, noiselessness, reliability, functionality, versatility. The mathematical model of the local thermal effects (criothermoapplicational) and the results of numerical experiment are considered.Conclusion.The possibilities of combining in the device the functions of mechanical massage, heating, cooling, and magnetic effects

DIAGNOSIS OF GROUPS OF ELECTRO-RADIO COMPONENTS ACCORDING TO THE TRANSIENT RESPONSES FOR THE DETECTION OF DEFECTS ON THE FUNCTIONAL CELLS

Objectives. A method for diagnosing electronic components with minimally complicated control and measuring instrumentation and the ability to obtain information from internal control points of operating units is developed. Methods. The developed method for control of groups of electronic components presupposes the passage of a controllable influence through a few control points, connected via several electronic components. In addition, each electronic component contributes its share to the transformation of the parameter output, so the discrepancy of its allowable values for the identification of defective electronic component are required to assess the implication of the expected value of the probable defect of each electronic component in the schema with the aim of isolating it. The faulty component in the electronic circuit is identified by the minimum estimated variance, by which the magnitude of the defect will match the expected value of the electronic component parameter. Results. As a result of the control no more than ten groups of electrical components on functional cell matrices can be assessed as having a defective element by comparing the calculated variance values for each electrical component and the corresponding electrical component parameter itself. Conclusion. Diagnosing groups of electric components on transient characteristics for the detection of defects in the functional cell matrices enables efficiency control operations improvement and troubleshooting in the search for modern electronic equipment reliability

MODELING OF THERMOELECTRIC SYSTEM FOR LOCAL THERMAL EFFECTS ON HUMAN FOREARM ZONE

In this paper we consider a model of the thermoelectric system for the thermal effect on the human forearm. The model is implemented on the basis of numerical solution of differentialequations of heat conduction for bodies of complex configuration. Two-dimensional and onedimensional graphs of the temperature change in different zones of the object of exposure aregiven

Multi-band analyses of the bright GRB~230812B and the associated SN2023pel

GRB~230812B is a bright and relatively nearby ($z =0.36$) long gamma-ray burst that has generated significant interest in the community and therefore has been subsequently observed over the entire electromagnetic spectrum. We report over 80 observations in X-ray, ultraviolet, optical, infrared, and sub-millimeter bands from the GRANDMA (Global Rapid Advanced Network for Multi-messenger Addicts) network of observatories and from observational partners. Adding complementary data from the literature, we then derive essential physical parameters associated with the ejecta and external properties (i.e. the geometry and environment) and compare with other analyses of this event (e.g. Srinivasaragavan et al. 2023). We spectroscopically confirm the presence of an associated supernova, SN2023pel, and we derive a photospheric expansion velocity of v $\sim$ 17$\times10^3$ km $s^{-1}$. We analyze the photometric data first using empirical fits of the flux and then with full Bayesian Inference. We again strongly establish the presence of a supernova in the data, with an absolute peak r-band magnitude $M_r = - 19.41 \pm 0.10$. We find a flux-stretching factor or relative brightness $k_{\rm SN}=1.04 \pm 0.09$ and a time-stretching factor $s_{\rm SN}=0.68 \pm 0.05$, both compared to SN1998bw. Therefore, GRB 230812B appears to have a clear long GRB-supernova association, as expected in the standard collapsar model. However, as sometimes found in the afterglow modelling of such long GRBs, our best fit model favours a very low density environment ($\log_{10}({n_{\rm ISM}/{\rm cm}^{-3}}) = -2.16^{+1.21}_{-1.30}$). We also find small values for the jet's core angle $\theta_{\rm core}={1.70^{+1.00}_{-0.71}} \ \rm{deg}$ and viewing angle. GRB 230812B/SN2023pel is one of the best characterized afterglows with a distinctive supernova bump

The Disk Wind in the Young Binaries and the Origin of the Cyclic Activity of Young Stars

We present results of numerical modeling of the cyclic brightness modulation in the young binary systems with the eccentric orbits and low-mass secondary components. Brightness variations of the primary is due to the periodical extinction variations on the line-of-sight caused by the disk wind of the secondary and a common envelope it produces. A matter distribution in the envelope has been calculated in the ballistic approach. Calculations showed that for the young binaries with the elliptic orbits parameters of the photometric minima (their depth, duration and the shape of light curves) depend not only on the disk wind parameters and an inclination of the binary orbit to the line-of-sight but also on the longitude of the periastron. A modulation of the scattered radiation of the common envelope with a phase of the orbital period has been investigated in the single scattering approach. It is shown that an amplitude of the modulation is maximal when the system is seen edge-on and has also a non-zero value in the binaries observed pole-on. Possible applications of the theory to the young stellar objects are discussed. In particular, an attention is payed to a resemblance of the light curves in some models with light curves of the objects suspected as candidates to FUORs.Comment: 18 pages, 9 figures, accepted by Astronomy Letter

The GRANDMA network in preparation for the fourth gravitational-wave observing run

GRANDMA is a world-wide collaboration with the primary scientific goal ofstudying gravitational-wave sources, discovering their electromagneticcounterparts and characterizing their emission. GRANDMA involves astronomers,astrophysicists, gravitational-wave physicists, and theorists. GRANDMA is now atruly global network of telescopes, with (so far) 30 telescopes in bothhemispheres. It incorporates a citizen science programme (Kilonova-Catcher)which constitutes an opportunity to spread the interest in time-domainastronomy. The telescope network is an heterogeneous set of already-existingobserving facilities that operate coordinated as a single observatory. Withinthe network there are wide-field imagers that can observe large areas of thesky to search for optical counterparts, narrow-field instruments that dotargeted searches within a predefined list of host-galaxy candidates, andlarger telescopes that are devoted to characterization and follow-up of theidentified counterparts. Here we present an overview of GRANDMA after the thirdobserving run of the LIGO/VIRGO gravitational-wave observatories in $2019-2020$and its ongoing preparation for the forthcoming fourth observational campaign(O4). Additionally, we review the potential of GRANDMA for the discovery andfollow-up of other types of astronomical transients.<br