Theory and Applications of Mathematics and Computer Science
https://www.uav.ro/jour/index.php/tamcs
<p style="font-weight: 400;"><strong>New Year Greetings from the Editorial Team</strong></p> <p style="font-weight: 400;">As we begin the New Year, the Editorial Team extends its sincere thanks to all authors, reviewers, editors, and collaborators for their valuable contributions and continued commitment to the journal.</p> <p style="font-weight: 400;">Your expertise, rigor, and engagement are essential to maintaining the quality, integrity, and impact of our publication. We are grateful for the trust you place in the journal and for the collaborative spirit that drives our shared mission.</p> <p style="font-weight: 400;">We wish you a New Year marked by good health, meaningful achievements, and continued scholarly success. We look forward to another year of productive collaboration and intellectual exchange.</p> <p style="font-weight: 400;"><strong>With our best wishes,</strong><br /><em>The Editorial Team</em></p> <p> </p> <p>The journal <strong>Theory and Applications of Mathematics & Computer Science </strong>focuses on Applied Mathematics & Computation. It publishes, free of charge, original papers of high scientific value in all areas of applied mathematics and computer science, but giving a preference to those in the areas represented by the editorial board. In addition, the improved analysis, including the effectiveness and applicability, of existing methods and algorithms, is of importance.</p> <p>Print ISSN: 2067-2764</p> <p>Online ISSN: 2247-6202</p> <p style="font-weight: 400;"><strong>Call for Papers</strong> - <strong>Special Issue in Memory of Professor Emeritus <em>Mihail Megan</em></strong></p> <p style="font-weight: 400;">We are pleased to announce a Call for Papers for a special issue of our journal <em><strong>Theory and Applications of Mathematics and Computer Science</strong></em><em>,</em><strong> </strong>dedicated to the memory of <strong>Professor Emeritus <em>Mihail Megan</em></strong>. Professor Mihail Megan was a distinguished scholar in the fields of Mathematical Analysis and Applications of Control Theory, whose work significantly shaped contemporary debates and inspired generations of researchers, colleagues, and students.</p> <p style="font-weight: 400;">This special issue aims to honor Professor Mihail Megan’s remarkable legacy by bringing together original research, critical reflections, and tributes that engage with the themes central to their scholarly contributions. We invite submissions that reflect the breadth and depth of their impact, including—but not limited to—topics such as:</p> <ul> <li>Qualitative Theory of Infinite Dimensional Dynamical Systems</li> <li>Control Theory</li> <li>Reflections on Professor Mihail Megan’s influence in the domain of Mathematical Analysis</li> <li>Archival insights, interviews, or unpublished materials related to his work</li> </ul> <p style="font-weight: 400;">We welcome contributions from scholars at all stages of their careers. In addition to full-length articles, we also invite shorter reflections or personal tributes (1,000–2,000 words) that speak of Professor Mihail Megan’s mentorship, collaboration, or intellectual legacy.</p> <p style="font-weight: 400;"><strong>Submission Guidelines</strong></p> <p style="font-weight: 400;">Please submit your manuscript through the submission system of the journal <em>Theory and Applications of Mathematics and Computer Science</em> by <strong>December 20th, 2025</strong>. All submissions will be peer-reviewed in accordance with the journal’s standard procedures. Authors should follow the journal’s submission guidelines.</p> <p style="font-weight: 400;">For further inquiries, please contact <strong>codruta.stoica@uav.ro</strong>.</p> <p style="font-weight: 400;">We look forward to receiving your contributions and joining together in this collective tribute to a scholar whose work continues to resonate across disciplines.</p>en-USTheory and Applications of Mathematics and Computer Science2067-2764Manufacturing Process of the SAV PALET Dacia Renault
https://www.uav.ro/jour/index.php/tamcs/article/view/2767
<p>The paper analyzes the technological workflow used to manufacture the welded SAV PALET G assembly intended for the<br>Renault/Dacia application, starting with the procurement of semi-finished materials and continuing with cutting, machining on<br>numerically controlled equipment, turning of the parts, welding, stress relieving, hot-dip galvanizing and final inspection. The<br>study uses technical data from the attached technological documentation and focuses on the engineering interpretation of the<br>manufacturing parameters. Calculations are presented for spindle speed, feed rate, theoretical machining time and an example<br>of dimensional verification. The results show that the sequence of operations must be established so that geometric accuracy,<br>welded-assembly stability and corrosion protection are maintained throughout the entire manufacturing cycle.</p> Alexandru Puiu Barbos
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-09-012026-09-0111119Mathematical Analysis and Structural Optimization of an Insulated Support for the 25 kv–50 hz Railway Contact Line
https://www.uav.ro/jour/index.php/tamcs/article/view/2768
<p>This paper presents a structural analysis of an insulated support assembly used in 25 kV–50 Hz railway overhead contact<br>lines. The study is based on the supplied engineering drawings of the stay rod, brace, direct steady arm, reverse fixing device,<br>bar, couplings, fixing plate and contact-wire clamp. The dimensions and materials explicitly readable in the drawings are incorporated<br>into a simplified analytical model for bending, shear and elastic displacement. The reference configuration mainly uses<br>S235/S235JR/FMN35 steels with corrosion protection by hot-dip galvanizing, while CuZn15 and other steels/stainless components<br>are present in the contact clamp and fasteners. AlCu4Mg is investigated as a lightweight alternative for selected structural members.<br>The analysis confirms the substantial mass-saving potential of aluminium alloys, but also the associated loss of sti ness;<br>therefore, a material substitution must be accompanied by geometric redesign. For the ?34 4 mm tubular direct steady arm, with<br>L = 400–1600 mm, the section properties are calculated and a conservative Fd = 90 N case is used to quantify the sensitivity of<br>bending moment and elastic displacement to length. The proposed methodology combines mass, strength and sti ness criteria and<br>can be extended by finite-element analysis.</p> Alexandru Puiu Barbos
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-09-012026-09-011111017Mathematical Modeling, Structural Resistance Calculation, and Technological Itinerary for Manufacturing the Y25 Bogie Frame
https://www.uav.ro/jour/index.php/tamcs/article/view/2769
<p>This paper presents an analytical and mathematical approach to the dynamic stress phenomena acting on the supports and<br>protection devices of railway track inductors. The main objective of the research is the mathematical substantiation of the transition<br>from the use of conventional structural steels (S235J2) to superior alloys (S355J2) in railway infrastructure, through a rigorous<br>analysis of stress tensors and safety coecients. Based on equilibrium equations and bending models under transient shocks and<br>accelerations, it has been demonstrated that adopting the S355J2 material increases the structural safety coecient by over 50%,<br>ensuring the continuous operation of trac safety systems (PZB/Indusi).</p> Paul Ilie Varsendan
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-09-012026-09-011111822Mathematical Analysis of Dynamic Stresses and Structural Optimization of Protection Devices for Railway Track Inductors
https://www.uav.ro/jour/index.php/tamcs/article/view/2770
<p>This paper presents an analytical and mathematical approach to the dynamic stress phenomena acting on the supports and<br>protection devices of railway track inductors. The main objective of the research is the mathematical substantiation of the transition<br>from the use of conventional structural steels (S235J2) to superior alloys (S355J2) in railway infrastructure, through a rigorous<br>analysis of stress tensors and safety coecients. Based on equilibrium equations and bending models under transient shocks and<br>accelerations, it has been demonstrated that adopting the S355J2 material increases the structural safety coecient by over 50%,<br>ensuring the continuous operation of trac safety systems (PZB/Indusi).</p> Paul Ilie Varsendan
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-09-012026-09-011112326TrueVision: A Human-Aligned Explainable Visual Completion Dataset for Incomplete Artworks
https://www.uav.ro/jour/index.php/tamcs/article/view/2793
<p>Large vision-language models are increasingly used in domains where the input image is incomplete, including damaged<br>paintings, cropped artworks, and restoration scenarios. In these settings, a plausible answer is not sucient: the model should<br>distinguish between visible evidence and inferred content, communicate uncertainty, and abstain when the available cues are too<br>weak. This paper presents the current repository-backed stage of TrueVision, a bilingual English-Romanian dataset and annotation<br>platform for explainable visual completion on artworks and other incomplete images. The current reportable experimental bundle<br>contains a shared 100-task overlap annotated by three production annotators, yielding 300 bilingual annotation instances and<br>deterministic 76/10/14 train-validation-test splits. The live platform already supports a richer structured workflow that separates<br>visible cues from inferred hidden content in both languages, but the committed gold overlap still follows the earlier single-prediction<br>annotation format and is therefore the basis of the quantitative results reported here. The paper includes four reproducible local<br>baselines: zero-shot and few-shot Qwen2-VL 2B prompting, a metadata-aware retrieval baseline, and a lightweight supervised<br>visual baseline trainable on Apple Silicon. On the held-out test split, retrieval remains the strongest non-learned reference in<br>English similarity (0.4820), while the trained baseline provides the strongest learned result, with 0.4746 Romanian similarity,<br>0.4507 English token F1, 0.3223 Romanian token F1, 0.5093 confidence macro-F1, and 0.4853 diculty macro-F1. These results<br>show that the TrueVision pipeline is operational end to end and already supports controlled comparison of explainable visual<br>completion methods in a low-resource bilingual setting.</p>Roxana BuzuriuDarian M. OnchisEduard Hogea
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-09-182026-09-181112738Convolutional Neural Networks for Cardiac MRI Analysis: An Overview
https://www.uav.ro/jour/index.php/tamcs/article/view/2794
<p>Cardiac magnetic resonance imaging (cardiac MRI) provides detailed information about cardiac anatomy and function, but<br>analysing a large number of images can be time-consuming when performed manually. Deep learning methods, particularly convolutional<br>neural networks (CNNs), are widely used for automated medical image analysis. This paper provides an overview of<br>CNNs and their applications in cardiac MRI analysis, with a focus on cardiac image segmentation. The paper first presents the<br>basic principles of CNNs, including convolution, pooling and activation functions, followed by a discussion of U-Net and its use<br>in biomedical image segmentation. Applications of CNNs in cardiac MRI, including cardiac structure segmentation, disease classification<br>and quantitative assessment, are also discussed. Recent developments such as 2D and 3D CNNs, attention mechanisms<br>and hybrid CNN-Transformer architectures are presented. The paper also discusses current challenges, including limited annotated<br>datasets, di erences between imaging settings, generalization, interpretability and clinical validation. Overall, CNNs remain important<br>tools for cardiac MRI analysis, while recent research is exploring more robust models that can be applied across di erent<br>clinical settings.</p>Marcela Florea
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-09-182026-09-1811139 – 5039 – 50Human-AI Collaboration in West-Romanian SMEs: A Qualitative Study of Managers’ Early-Stage Adoption, Risks and Value
https://www.uav.ro/jour/index.php/tamcs/article/view/2795
<p>This study focuses on Small and Medium Enterprises (SMEs) from the western side of Romania. The current research starts<br>from the hypothesis that SMEs started to experiment with generative artificial intelligence at a growing rate, in order to reduce costs<br>and accelerate customer communication. However, evidence from owner-managed companies in Central and Eastern Europe is<br>limited. This study addresses this research gap by bringing evidence gathered using the qualitative methodology. Evidence on this<br>topic was collected in Arad, Romania, and examines how managers in the service-sector SMEs adopt AI in their day-to-day work,<br>what benefits and risks they perceive, and which routines enable a responsible, human-in-the-loop use. This research is conducted<br>from a managerial point of view, showing the challenges that managers try to address and the backlash that some of them faced<br>from their own employees. It is important to mention that this study focuses on how these managers and their employees use AI as<br>a tool in their companies, not as a replacement for their human employees.<br>This study provides understanding of the benefits and challenges that are encountered by real-life managers and why it is<br>important to proceed with caution and adopt new technologies responsibly. Limitations of this study include a single region and<br>reliance on self-reported commercial outcomes. Future research should include evidence from a wider region.</p>Miruna Maura TrocanAlexandru NicolaitaMircea PeleCosmin-Horatiu Danciu
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-09-182026-09-1811151 – 6051 – 60ESG Strategy Integration in SME Development: Pathways to Sustainable Growth
https://www.uav.ro/jour/index.php/tamcs/article/view/2807
<p>In the context of the reconfiguration of the global economy and the establishment of Sustainable Development as the dominant<br>paradigm, small and medium-sized enterprises (SMEs) are becoming essential actors in the transition towards sustainable economic<br>models. This article investigates the integration of Environmental, Social and Governance (ESG) principles into SME development<br>strategies, critically analyzing both the constraints and opportunities associated with this process. The research is based on a mixed<br>methodological design, including a survey conducted among SMEs in the Republic of Moldova and a correlation of the results with<br>established European ESG indicators. The obtained results allow for the formulation of a conceptual and applicative framework<br>that can guide the elaboration and implementation of robust ESG strategies across various economic sectors. Through the proposed<br>approach, the study contributes to the academic literature on SME sustainability and provides empirical support for policymakers<br>involved in promoting a sustainable economy.</p>Oleg Bujor Aliona LisiiRaul LileNicoleta LisiiMariana Florica Vetrone Negreu
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-10-202026-10-201116170AI-Powered Leader Digital Twins as Identity-Governed Augmentation Systems: A Quantum-Entangled Framework for Leadership, XR, and Human–AI Coupling
https://www.uav.ro/jour/index.php/tamcs/article/view/2808
<p>This work develops a conceptual framework for AI-powered leader digital twins, defined as digital systems designed to emulate a specific leader’s knowledge, communication style, and decision logic. The paper addresses a central theoretical problem:<br>how such systems can remain meaningfully linked to a leader’s identity without reducing leadership to functional simulation. To<br>address this problem, the study integrates research on human digital twins, digital twin typologies, decentralized identity infrastructures, extended mind theory, trust and transparency, and quantum entanglement as a bounded metaphor for tightly coupled<br>human–AI systems. Extended reality (XR) is incorporated as the embodiment layer through which a leader digital twin becomes<br>socially present in organizational settings. The resulting Quantum-Entangled Leadership Digital Twin (QELDT) framework conceptualizes the twin as an identity-governed augmentation system anchored by verifiable linkage, closed-loop synchronization,<br>bounded delegation, and human accountability. The framework is interpreted against exploratory survey evidence from 38 leaders,<br>which suggests greater willingness to delegate analytical and monitoring activities than identity-laden tasks such as culture shaping,<br>inspiration, and ethically sensitive judgment. The paper contributes a governance-oriented foundation for theorizing leader digital<br>twins as extensions of leadership capacity rather than autonomous substitutes.</p>Giammarco Tosi
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-10-202026-10-201117180Virtual Reality and Serious Games: Innovative Tools for Inclusion and Accessibility
https://www.uav.ro/jour/index.php/tamcs/article/view/2809
<p>As digital technologies continue to shape education and healthcare, Virtual Reality (VR) emerges as a powerful medium for<br>immersive learning and therapeutic intervention. This paper explores the design and evaluation of a VR-based serious game prototype aimed at improving accessibility, cognitive training, and rehabilitation for persons with motor or cognitive impairments. The<br>proposed system employs immersive and adaptive environments powered by AI-driven interaction to enhance user motivation, engagement, and learning outcomes. A user-centered design approach was adopted, with iterative testing conducted in collaboration<br>with participants from accessibility-focused institutions. Preliminary results indicate improvements in user motivation and task<br>completion rates, highlighting the potential of VR-based serious games as tools for inclusive education and therapeutic practice.</p>Roberta Barba
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-10-202026-10-201118187Modeling and Statistical Analysis of Braking Parameters for Improving Traffic Safety
https://www.uav.ro/jour/index.php/tamcs/article/view/2810
<p>This paper examines, from a combined engineering and statistical perspective, how key braking parameters affect traffic<br>safety, with the aim of proposing a robust framework for modeling and evaluation. The main variables considered, initial speed,<br>tire-road adhesion, the condition and temperature of the braking system, axle load distribution, hydraulic pressure, and driver<br>reaction time, are used to estimate braking distance, average deceleration, and their variation under real operating conditions.<br>Illustrative calculations and comparative scenarios are used to quantify how these factors, individually and in combination, affect<br>stopping performance, and to identify parameter combinations with a disproportionate impact on outcomes. Based on the resulting<br>model, operational thresholds for preventive maintenance are proposed, along with scenarios for reducing the variability of braking<br>response. The results indicate that incorporating thermal and mechanical effects into the predictive model produces more stable<br>estimates of braking distance and more reliable inputs for decision-making in vehicle design, approval, and maintenance. The<br>paper’s main contribution is an integrated deterministic model that combines classical stopping-distance mechanics with correction<br>factors for adhesion, thermal effects, and load distribution, offering an objective basis for prioritizing safety related technical<br>interventions.</p>Dennis FrentiuAndrei CorbanMarian DurbacaTitus FrentiuAlexandru Mina Mircea PeleAlexandru PosaMarius TolanDavid Tomuta
Copyright (c) 2026 Theory and Applications of Mathematics and Computer Science
2026-10-202026-10-201118896