Free Bicommutative Algebras

2000 Mathematics Subject Classification: Primary 17A50, Secondary 16R10, 17A30, 17D25, 17C50.Algebras with identities a(bc)=b(ac), (ab)c=(ac)b is called bicommutative. Bases and the cocharacter sequence for free bicommutative algebras are found. It is shown that the exponent of the variety of bicommutaive algebras is equal to 2

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

Monitoring vibrations and microdisplacement for "pin on disc" tribology studies

The paper studies the example of applying accelerometers to evaluate tribocoupling vibration characteristics and verification methods in the testing system "pin on disc". Microelectromechanical systems (MEMS) intended for operation over a wide static and spectral ranges were applied. Accelerator spatial track recovery was implemented through the double integration algorithm. In the course of the work, the vibrations occurring through the friction between fluorocarbon and brass alloy LS59-1 under the conditions of dry friction were studied

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

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

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

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

Preparation and analysis of Pr-Ga-Al alloys

Pr-Ga-Al alloys were prepared from individual praseodymium, gallium and aluminum purified from oxide films in an inert atmosphere of the glove box. The Ga-Al phase diagram was used to choose the eutectic composition (2.1 mol. % Al). The metals were mixed in a certain proportion in crucibles (BeO) and annealed at 832.4±1.7 °C and 366.2±6.3 °C for 19 hours and 53 hours, respectively. Three ingots were obtained with different praseodymium content. The alloys were investigated by X-ray phase analysis, scanning electron microscopy and electron backscatter diffraction technique. A general chemical analysis was also performed. Depending on praseodymium content the alloys consisted of PrGa6 intermetallic compound phase; a mixture of PrGa6 and ϵ-PrGa2 IMCs; and ϵ-PrGa2 phase. Ternary intermetallic compounds of praseodymium were not detected. A small addition of aluminum does not affect the phase characteristics of intermetallic compounds of praseodymium in alloys. © 2019 Author(s)