https://repository.hneu.edu.ua/handle/123456789/178 2026-07-11T23:45:40Z https://repository.hneu.edu.ua/handle/123456789/41272 Назва: Circle-intersection-based equal-chord partitioning algorithm for a planar parametric curve Автори: Frolov О. V. Короткий огляд (реферат): This paper addresses the problem of equal-chord partitioning of planar parametric curves, which consists of determining a sequence of points on a curve such that the Euclidean distances (chords) between consecutive points are equal. Equal-chord discretization is important in computer-aided design, CNC machining, robotics, and computer graphics, as it provides stable geometric and technological properties compared to parameter-uniform or arc-length-based sampling. This work aims to develop efficient algorithms for equal-chord partitioning of planar parametric curves in the classical setting, i.e., with fixed endpoints and a prescribed number of segments, while explicitly accounting for the multivalued nature of solutions arising from curve–circle intersections. The proposed approach is based on successive intersections of the curve with a moving circle of fixed radius. Starting from one or both endpoints, the circle center is placed at the current partition point, and subsequent points are obtained as intersections between the curve and the circle in a specified direction. To handle non-convex curves and curves with inflection points, all possible intersection solutions are organized into a tree structure, where each branch represents an alternative partitioning trajectory. The optimal partition is selected by minimizing the difference between the residual segment length and the circle radius. An experimental evaluation of planar Bézier curves of various orders demonstrates stable convergence of the proposed algorithms across a wide range of segment counts. As the number of segments increases, the multiplicity of curve–circle intersections decreases, and the computational complexity approaches linear behavior in practical scenarios. The proposed method avoids numerical arc-length integration and auxiliary grid-based approximations and can be naturally extended to spatial curves. 2026-01-01T00:00:00Z https://repository.hneu.edu.ua/handle/123456789/41105 Назва: Mathematical models for developing interactive components of distance education systems Автори: Karpenko M. Y. Короткий огляд (реферат): A formalized mathematical model of a dynamic economic system with regulated parameters is proposed to analyze economic equilibrium under the interaction of a producer, an aggregate consumer, and a price-regulating authority. The model accounts for production constraints, consumer utility, pricing dynamics, and the closed nature of the economic environment. It investigates supply–demand imbalances, identifies the conditions for restoring equilibrium through price adjustments, and examines the effects of unrealized stock and deferred demand. The dynamic framework enables the analysis of successive system states, evaluation of pricing strategies, and identification of critical operating regimes. Designed as the basis for an interactive simulator integrated into a distance learning environment, the model supports flexible parameter adjustment, enhances the realism of economic process simulation, and fosters analytical thinking and practical skills in economic modeling. 2026-01-01T00:00:00Z https://repository.hneu.edu.ua/handle/123456789/41033 Назва: Аналіз комутаційних мереж зв’язку Збройних Сил України Автори: Коцюба В. П. Короткий огляд (реферат): У статті представлено результати аналізу застосування кінцевих пристроїв телекомунікаційних мереж та засобів криптографічного захисту інформації ЗС України. У роботі визначені ключові засади функціонування інфокомунікаційної інфраструктури ЗС України. Розглянуто сутність електронних комунікаційних мереж та засобів зв'язку. Особливу увагу приділено трансформації традиційних систем у сучасні інфокомунікаційні технології через впровадження передових мережевих стандартів (GPON, NGN), мультисервісних послуг та інтерактивних сервісів в єдиній інфраструктурі. Окреслено роль інформаційних систем, порядок організації автоматизованих робочих місць посадових осіб, а також принципи керування цифровими потоками через засоби керування та комутації. Матеріал має практичне значення для фахівців у сфері інформаційних систем та автоматизації управлінських процесів. 2026-01-01T00:00:00Z https://repository.hneu.edu.ua/handle/123456789/40961 Назва: Digital platforms and business ecosystems as drivers of enterprise transformation in the digital economy Автори: Bredikhin V. Короткий огляд (реферат): Digital transformation has become a key factor influencing the competitiveness and sustainable development of modern enterprises. The rapid advancement of digital technologies, the growth of platform-based business models, and increasing customer expectations require organizations to redesign traditional approaches to management, operations, and value creation. The purpose of this study is to investigate the main drivers of enterprise digital transformation, analyze the role of digital platforms and business ecosystems, assess approaches to digital maturity evaluation, and develop recommendations for improving transformation strategies. Particular attention is given to the experience of leading Chinese digital enterprises that successfully implement advanced digital technologies and ecosystem-based business models. The study examines the impact of digital platforms, artificial intelligence, big data analytics, cloud computing, and the Internet of Things on organizational development and business performance. The digital transformation models of JD.com, Pinduoduo, and Meituan are analyzed to identify practical approaches to technology integration, ecosystem development, and customer value creation. The research demonstrates that successful digital transformation requires the alignment of technological innovation with business strategy, organizational capabilities, and digital culture. The study also presents a digital maturity framework that can be used to evaluate enterprise readiness for transformation and support strategic planning. Based on the analysis, a set of recommendations is proposed to assist organizations in improving digital maturity, enhancing operational efficiency, strengthening competitiveness, and achieving sustainable growth in the digital economy. The findings may be useful for both researchers and practitioners involved in digital transformation initiatives. 2026-01-01T00:00:00Z