The enhancement of existing and the development of new electric power generation systems represent a pressing scientific and practical challenge.
A regulated medical pipette with electronic control is an essential and indispensable modern device. The study analyzes the importance of using electronically regulated medical pipettes in medical and related fields. Modern approaches to developing their microelectromechanical actuator are outlined. To improve the design and control system of the electronic medical pipette, it is necessary to develop an appropriate mathematical model, which requires motor parameters that are often missing from manufacturer descriptions.
A review of publications devoted to the mathematical simulation of the nanofiltration process was carried out, the advantages, limitations, and areas of application of various modeling approaches were determined. It was found that the most effective approaches are based on the extended Nernst-Planck equation, Donnan equilibrium, as well as methods of computational fluid dynamics and molecular dynamics. The use of software for solving nanofiltration simulation problems was considered.
The use of multi-winding or multi-phase synchronous machines makes it possible to improve electromagnetic compatibility with the power supply, ensure better operation in the case of faults in separate power channels, and improve the quality of electromagnetic torque in systems with semiconductor converters. The magnetic flux in hybrid-excited synchronous machines is formed by means of permanent magnets and an excitation winding. Such machines combine the advantages of permanent magnet synchronous machines with the ability to regulate the magnetic flux.
At present, distributed control and management systems are becoming increasingly complex, with the number of Internet of Things devices and wireless sensors steadily growing. All of them require the development and improvement of simple and efficient devices for performing computational operations near sensors in real time.
A mathematical model of the process of separating suspended microparticles in a dispersed mixture within a 2-branched channel of a microfluidic lab-chip under the influence of an acoustic field has been developed. The model is implemented in the environment of COMSOL Multiphysics, using thermoviscous acoustics, creeping flow, particle tracking in a fluid flow, and fluid-particle interaction multiphysics interfaces.
A mathematical model has been developed to study the amplitude-frequency characteristics of the resonator beam. Nonlinear mechanics methods were used in the modeling process. The model takes into account the influence of changes in the elastic properties of the beam material on its oscillation amplitude and frequency. To analyze the internal processes in the material, Voigt's and Bolotin's laws were applied.
This article reviews the theoretical aspects of logistic regression for binary data classification, including data preparation processes, training, testing, and model evaluation metrics.
Requirements for input data sets are formulated, methods of coding categorical data are described, methods of scaling input features are defined and substantiated.
In this article, the mathematical justification of logistic regression as an effective and simple to implement method of machine learning is performed.
A review of literary sources was conducted in the direction of statistical processing, analysis and classification of data using the logistic regression method, which confirmed the popularity of this method in various subject areas.
A problem of navigation within large educational complexes has been identified, which poses a particular challenge for new students, visitors, and staff. It has been established that the implementation of augmented reality technologies considerably enhances the intuitiveness and usability of the navigation system. A comprehensive structural and mathematical model of the navigation system based on augmented reality technologies has been meticulously developed.