математичне моделювання

This paper presents a mathematical modeling approach for fall detection using a 3D vision-based contrastive learning framework.  Traditional models struggle with high false positives and poor generalization across environments.  To address this, we propose a self-supervised contrastive learning model that maps 3D skeletal motion sequences into a low-dimensional embedding space, optimizing feature separation between falls and non-falls.  Our method employs spatial-temporal modeling and a contrastive loss function based on cosine similarity to enhance discrimination.  By

This article presents the mathematical modeling of the multi-label classification task of job description texts aimed at the automatic detection of working conditions and social benefits, which can enhance communication efficiency between employers and job seekers.  The proposed approach is based on the use of the transformer-based BERT neural network, pre-trained on a multilingual corpus.  The dataset was constructed by collecting job postings from the three largest Ukrainian job search platforms: Work.ua, Robota.ua, and Jooble.org.  The collected texts were augmented

In the article, the mathematical model for the drying process of a porous layer subjected to an external electric field is developed considering the coupled effects of heat, mass, and charge transport.  A system of algebraic equations is obtained to describe the drying dynamics, incorporating key physical parameters such as boundary layer thickness, temperature, and electric field intensity.  The model is validated against experimental data, demonstrating its accuracy in predicting moisture distribution over time in a porous materials under the action of constant electr

A generalized mathematical model of the process of extraction of target components from yeast biomass (carbohydrates, lipids and ribonucleic acids)has been developed on the basis of experimental studies.  It is substantiated that the theoretical provisions are satisfactorily consistent with the experimental results of the research.  The obtained model allows to describe with sufficient accuracy the kinetics of extraction of carbohydrates, lipids and ribonucleic acids from yeast biomass, to determine the yield of the extract and to predict the optimal time of extraction

Mobile robotic systems with vibratory drives are becoming increasingly popular in various fields of industry and medicine.  This article is dedicated to the study of the dynamic behavior of a mobile capsule-type robot equipped with an imbalanced vibration exciter.  The research methodology involves constructing a simplified dynamic diagram of the robot's mechanical system, using Lagrange's equations of the second kind to describe its motion, and solving the obtained system of differential equations using numerical methods integrated into the Wolfram Mathematica software

Шестифазні асинхронні машини мають цілу низку переваг, порівняно з класичними трифазними машинами, зокрема високі показники електромеханічної сумісності з навантаженням, енергоефективності та відмовостійкості.

Наведено аналіз впливу гармонік функції розподілу витків обмотки машини в пазах статора та гармонік живлення машини на електромеханічну сумісність машини з навантаженням у режимі обриву однієї фази.