We consider weakly nonlinear Fredholm integral equations with degenerate kernel in Banach spaces and establish a necessary condition and sufficient conditions for the existence of solutions of ...equations of this kind. The convergent iterative procedures are proposed for the construction either of a single solution or of at least one possible solution.
When implementingdevelopmentconcepts inthe electric power industry(such as“Smart Grid”, “Digital substation”and“Outsourcing of services”), the task of ensuring stablerelay protection operationsand ...automation devices is urgent. The problem is solved according to the developed structural-information (SI) method. A method for selective search of theoptimal amount of structured information for automatic decision-making is proposed. The article discusses an algorithm for recognising scenarios for the development of semantic events, which is included in the SP-method. The algorithm is applied uniformly for all hierarchical levels of recognition, based on the goals of decision making at the senior level. Control of the sequence of information events is performed in the dynamics of the passage of events along one path from all relationships according to the structural-informationmodel.Part 1 shows a collaborative structural-information model consisting of a shaping tree in a dynamic object and a recognition tree in devices. A theoretical description of the algorithm is given using the amplitude and time (Ξ,Η) selectivity windows in the general structural scheme of S-detection. The application of the method for different hierarchical levels of recognition is shown.The decision-making results are presentedin two forms, by means of a single semantic signal to indicate a group of resultsandfilling in the table of the sequence of occurrence of the recognised elementary information components. Part 2 shows the application of the SP-method at different hierarchical levels of recognition for the synthesis of a selective relay, which implements an algorithm for finding a damaged network section with single-phase ground faults in 6-35 kV distribution networks with a Petersen’scoil. The reasons for the unstable operation of algorithms of known selective relays are indicated, based on the concepts of scenario recognition. The improvement of the structure of a selective relay operating on the basis of the criterion for monitoring the coincidence of the firsthalf-waves of the mid-frequency components in the signals of transient processes is considered. Examples of the synthesis of elementary detectors of absolute,relative and cumulative actions in relation to a selective relay are given, which make it possible to fill the amount of information for general S-detection.The simulation of the operation of the synthesisedS-detector on the signals of real emergency files of the natural development of damage to the isolation of the network phase and simulation of artificial scenarios of events in the mathematical SI-modelare carried out.
Modern methods of irrigation are considered as a key factor in the intensification of technologies for growing of grain corn. The productivity of the crop as a result of the optimization of water and ...nutrient regimes increases from 100 to 380% in comparison with non-irrigated conditions. The aim of the research was to study the effect of sprinkling, drip irrigation and subsurface drip irrigation on growth processes, the structure of the crop formation and the yield of grain corn. Field experimental studies were conducted on the lands of Kamyans'ko-Dnieprovs'ka research station IWPLM of NAAS during 2018-2020The obtained results confirm that the method of irrigation significantly affects the formation of basic biometric parameters, yield structure and productivity. It is established that the maximum parameters of growth processes (plant height, leaf surface area, as well as photosynthetic potential and net photosynthesis productivity) of corn are provided by drip irrigation. Significantly lower and similar values were determined for the conditions of subsurface drip irrigation and sprinkling, and the lowest parameters of corn productivity were obtained under natural moisture conditions. The highest yield of corn grain was obtained under drip irrigation – 20,69 t on ha, while under subsurface laying of irrigation pipelines it was significantly lower – 16,44 t on ha. In the variant with sprinkling, the decrease in grain yield by 0,62 t on ha compared to subsurface drip irrigation was within the least significant difference of the experiment (LSDА0,5 = 1,93). On the variant of conditional control (without irrigation), on average, for three years, a low yield level was obtained - only 3,85 t on ha, which confirms the significant risks and inexpediency of this crop in the Steppe conditions without irrigation. The results also confirm the existence of a close correlation between corn yield and leaf surface area of plants. The obtained dependence is described by a linear equation of the form y = 0,6227x – 14,133, and the coefficient of determination is R2 = 0,98.
ENGINEERING PEDAGOGY COURSE MAPPING Perig, Alexander V.; Gribkov, Eduard P.; Gavrish, Pavlo A. ...
Acta Metallurgica Slovaca (Online),
03/2022, Letnik:
28, Številka:
1
Journal Article
Recenzirano
Odprti dostop
Graduate students of technical universities have practical difficulties with learning and successful instructional implementation of the fundamentals of engineering didactics. The paper is focused on ...the formulation of a thought-provoking curriculum with computational assignments for the course of “Technical University Pedagogic and Methodological Foundations of Engineering Education” (TUPMFEE) for graduate and Ph.D. students. The paper uses computational modelling of behavioral processes in socio-educational systems. The TUPMFEE-curriculum teaches future engineers to apply computational techniques to modeling of socio-technical phenomena. The author-formulated and a computer modeling-supported metaphor for the psycho-educational effects of high social pressure impact on student learning dynamics was allegorically visualized using mechanical rolling stress distribution for the nonlinear social process of student knowledge acquisition during instructor-enhanced education with description of some successive forgetting of the previously acquired instructional material upon the studied course completion. The author-proposed TUPMFEE-course successfully triggers graduate students’ interest in both social, mechanical and computer sciences.
Tau-pair production in the process \(\ensuremath{\mathrm{e}^ + \mathrm{e}^- \rightarrow \mathrm{e}^ + \mathrm{e}^-\tau^ + \tau^-}\) was studied using data collected by the DELPHI experiment at LEP2 ...during the years 1997 - 2000. The corresponding integrated luminosity is 650 pb-1. The values of the cross-section obtained are found to be in agreement with QED predictions. Limits on the anomalous magnetic and electric dipole moments of the tau lepton are deduced.
Searches for neutral Higgs bosons produced at LEP in association with Z bosons, in pairs and in the Yukawa process are presented in this paper. Higgs boson decays into b quarks, \(\tau\) leptons, or ...other Higgs bosons are considered, giving rise to four-b, four-b + jets, six-b and four-\(\tau\) final states, as well as mixed modes with b quarks and \(\tau\) leptons. The whole mass domain kinematically accessible at LEP in these topologies is searched. The analysed data set covers both the LEP1 and LEP2 energy ranges and exploits most of the luminosity recorded by the DELPHI experiment. No convincing evidence for a signal is found, and results are presented in the form of mass-dependent upper bounds on coupling factors (in units of model-independent reference cross-sections) for all processes, allowing interpretation of the data in a large class of models.
This paper presents DELPHI measurements and interpretations of cross-sections, forward-backward asymmetries, and angular distributions, for the process for centre-of-mass energies above the Z ...resonance, from -207 GeV at the LEP collider. The measurements are consistent with the predictions of the Standard Model and are used to study a variety of models including the S-Matrix ansatz for scattering and several models which include physics beyond the Standard Model: the exchange of Z′ bosons, contact interactions between fermions, the exchange of gravitons in large extra dimensions and the exchange of in R-parity violating supersymmetry.This paper is dedicated to the memory of Alan Segar.
A search for pair-produced charged Higgs bosons was performed in the data collected by the DELPHI detector at LEP II at centre-of-mass energies from 189 GeV to 209 GeV. Five different final states, ...\(\tau^ + \nu_{\tau}\tau^- \bar{\nu}_{\tau}\), \(\mathrm{c}\bar{\mathrm{s}}\bar{\mathrm{c}}\mathrm{s}\), \(\mathrm{c}\bar{\mathrm{s}}{\tau^- \bar{\nu}_{\tau}}\), \(\mathrm{W}^*\!\mathrm{A}\mathrm{W}^*\!\mathrm{A}\) and \(\mathrm{W}^*\!\mathrm{A}\tau^- \bar{\nu}_{\tau}\) were considered, accounting for the major expected decays in type I and type II Two Higgs Doublet Models. No significant excess of data compared to the expected Standard Model processes was observed. The existence of a charged Higgs boson with mass lower than 76.7 GeV/c2 (type I) or 74.4 GeV/c2 (type II) is excluded at the 95% confidence level, for a wide range of the model parameters. Model independent cross-section limits have also been calculated.
Infrared and collinear safe event shape distributions and their mean values are determined in \({\mathrm{e^+e^-}}\) collisions at centre-of-mass energies between 45 and 202GeV. A phenomenological ...analysis based on power correction models including hadron mass effects for both differential distributions and mean values is presented. Using power corrections, \(\alpha_s\) is extracted from the mean values and shapes. In an alternative approach, renormalisation group invariance (RGI) is used as an explicit constraint, leading to a consistent description of mean values without the need for sizeable power corrections. The QCD \(\beta\)-function is precisely measured using this approach. From the DELPHI data on Thrust, including data from low energy experiments, one finds \\beta_0 = 7.86 \pm 0.32\ for the one loop coefficient of the \(\beta\)-function or, assuming QCD, \n_{\mathrm{f}} = 4.75 \pm 0.44 \ for the number of active flavours. These values agree well with the QCD expectation of \(\beta_0=7.67\) and \(n_{\mathrm{f}}=5\). A direct measurement of the full logarithmic energy slope excludes light gluinos with a mass below 5GeV.
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