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Mathematics, Volume 14, Issue 1

2026 January-1 - 203 articles

Cover Story: The generalized circular cosine (c) represents the time t dependence of the displacement ζ(t) [electric current j(t)] of analogous (a) mechanical system [(b) electrical circuit], with mass M(t) [induction L(t)] and spring resilience K(t) [capacity C(t)], all functions of time, such that the natural frequency ω = √(K/M)  (ω = 1/√LC) is a power of time ω(t) ∼ tm with exponent m. View this paper
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Articles (203)

  • Article
  • Open Access
697 Views
21 Pages

5 January 2026

Real-world image denoising faces a critical trade-off: Convolutional Neural Network (CNN)-based methods are computationally efficient but limited in capturing long-range dependencies, while Transformer-based approaches achieve superior global modelin...

  • Feature Paper
  • Article
  • Open Access
361 Views
29 Pages

5 January 2026

Improving responsiveness and efficiency in production systems requires an understanding of how manufacturing flexibility and inventory management interact under conditions of uncertainty. This study examines the combined effect of four types of flexi...

  • Article
  • Open Access
301 Views
26 Pages

Research on Rolling Bearing Fault Diagnosis Based on IRBMO-CYCBD

  • Dawei Guo,
  • Jiaxun Chen,
  • Xiaodong Liu and
  • Jiyou Fei

5 January 2026

This paper introduces an Improved Red-Billed Blue Magpie Optimizer (IRBMO) to enhance the Maximum Second-Order Cyclostationary Blind Deconvolution (CYCBD) method, which traditionally depends on manual, experience-based setting of its key parameters (...

  • Article
  • Open Access
541 Views
35 Pages

An Extrinsic Enriched Finite Element Method Based on RBFs for the Helmholtz Equation

  • Qingliang Liu,
  • Zhihong Zou,
  • Yingbin Chai,
  • Wei Li and
  • Wei Chu

5 January 2026

The traditional finite element method (FEM) usually exhibits significant numerical dispersion error for solving the Helmholtz equation in relatively high-frequency range, resulting in insufficiently accurate solutions. To address this problem, this p...

  • Article
  • Open Access
294 Views
35 Pages

5 January 2026

In recent years, payment schemes in healthcare have garnered attention for their potential impact on service delivery and cost management. This paper explores the impact of the bundled payment scheme (BP) on hospital outpatient services, focusing on...

  • Article
  • Open Access
331 Views
14 Pages

Parastrophe of Some Inverse Properties in Quasigroups

  • Yakub T. Oyebo,
  • Abdulafeez O. Abdulkareem,
  • Hasan AlMutairi and
  • Temitope F. Oshodi

5 January 2026

This work investigates the relationship between the parastrophes of some notion of inverses in quasigroups. Our findings reveal that, of the 5 parastrophes of LIP quasigroup, (23) parastrophe is a LIP quasigroup, (12) and (132) parastrophes are RIP q...

  • Article
  • Open Access
289 Views
18 Pages

5 January 2026

This paper is devoted to the investigation of the proper strict efficient solutions to a set optimization problem with a partial set order relation. Firstly, the notion of proper strict efficient solution defined by the Minkowski difference is introd...

  • Article
  • Open Access
481 Views
22 Pages

4 January 2026

The concordance correlation coefficient (CCC) is a popular measure of agreement between two continuous variables but is highly sensitive to outliers and data contamination. In this study, we propose a robust reformulation of the CCC by replacing clas...

  • Feature Paper
  • Article
  • Open Access
412 Views
25 Pages

4 January 2026

This study examines the logistical challenges arising in omni-channel retailing, where the interaction between traditional stores and online channels requires flexible and efficient transportation planning. In particular, the growth of Buy-Online-and...

  • Article
  • Open Access
329 Views
23 Pages

4 January 2026

This study presents a novel fifth-order unequal-sized trigonometric weighted essentially non-oscillatory (US-TWENO) scheme and a novel hybrid US-TWENO (HUS-TWENO) scheme with a novel troubled cell indicator in a finite difference framework to address...

  • Article
  • Open Access
500 Views
40 Pages

4 January 2026

The estimation of correlation matrices in high-dimensional data streams presents a fundamental conflict between computational efficiency and statistical robustness. Moment-based estimators, such as Pearson’s correlation, offer linear O(N) compl...

  • Article
  • Open Access
476 Views
43 Pages

Customized Product Design and Cybersecurity Under a Nash Game-Enabled Dual-Channel Supply Chain Network

  • Parthasarathi Mandal,
  • Rekha Guchhait,
  • Bikash Koli Dey,
  • Mitali Sarkar,
  • Sarla Pareek and
  • Anirban Ganguly

4 January 2026

Dual-channel retailing empowers the manufacturer to benefit from market opportunities by producing customized items that fulfill client requirements. The manufacturer and retailer sell customized products, which allow customers to express their chose...

  • Feature Paper
  • Article
  • Open Access
237 Views
16 Pages

4 January 2026

Each of the studied manifolds has a pair of B-metrics, interrelated by an almost contact structure. The case where each of these metrics gives rise to an η-Ricci–Bourguignon almost soliton, where η is the contact form, is studied. In ad...

  • Article
  • Open Access
282 Views
21 Pages

4 January 2026

Indirect fear effects profoundly influence predator–prey dynamics by reducing prey reproduction. Whereas previous studies have investigated fear effects or self-diffusion separately in Leslie–Gower models, the novelty of this work lies in...

  • Article
  • Open Access
298 Views
26 Pages

Analysis of Discretization Errors in the Signal Model of the Integrate-And-Dump Filter in Satellite Navigation Receivers

  • Junbo Tie,
  • Changqing Xun,
  • Yan Guo,
  • Li Luo,
  • Menglong Lu,
  • Yongwen Wang and
  • Li Zhou

4 January 2026

The integrate-and-dump filter is a core component of satellite navigation receivers, enabling the tracking of navigation satellite signals and significantly influencing receiver performance. Currently, satellite navigation receivers, particularly onb...

  • Feature Paper
  • Article
  • Open Access
495 Views
18 Pages

4 January 2026

Large language models are increasingly used in code generation and developer tools, yet their robustness to ethically problematic natural language embedded in source code is underexplored. In this work, we study content-safety vulnerabilities arising...

  • Systematic Review
  • Open Access
712 Views
35 Pages

4 January 2026

In today’s dynamic and global business landscape, economic profitability is essential for creating and sustaining competitive advantage. Nevertheless, a critical gap persists in the literature regarding the application of advanced optimization...

  • Feature Paper
  • Article
  • Open Access
1,312 Views
21 Pages

KORIE: A Multi-Task Benchmark for Detection, OCR, and Information Extraction on Korean Retail Receipts

  • Mahmoud SalahEldin Kasem,
  • Mohamed Mahmoud,
  • Mostafa Farouk Senussi,
  • Mahmoud Abdalla and
  • Hyun Soo Kang

4 January 2026

We introduce KORIE, a curated benchmark of 748 Korean retail receipts designed to evaluate scene text detection, Optical Character Recognition (OCR), and Information Extraction (IE) under challenging digitization conditions. Unlike existing large-sca...

  • Article
  • Open Access
342 Views
22 Pages

Modeling DECT-2020 as a Tandem Queueing System and Its Application to the Peak Age of Information Analysis

  • Dmitry Nikolaev,
  • Anna Zhivtsova,
  • Sergey Matyushenko,
  • Yuliya Gaidamaka and
  • Yevgeni Koucheryavy

4 January 2026

The Peak Age of Information (PAoI) quantifies the freshness of updates used in cyber-physical systems (CPSs), realized within the Internet of Things (IoT) paradigm, encompassing devices, networks, and control algorithms. Consequently, PAoI is a criti...

  • Article
  • Open Access
428 Views
21 Pages

Vehicle Sideslip Angle Redundant Estimation Based on Multi-Source Sensor Information Fusion

  • Danhua Chen,
  • Jie Hu,
  • Guoqing Sun,
  • Feiyue Rong,
  • Pei Zhang,
  • Yuanyi Huang and
  • Ze Cao

3 January 2026

The sideslip angle is a key state for evaluating the lateral stability of a vehicle. Its accurate estimation is crucial for active safety and intelligent driving assistance systems. To improve the estimation accuracy and robustness of the sideslip an...

  • Article
  • Open Access
513 Views
15 Pages

3 January 2026

As a transition from offline to online shopping is taking place in many societies, many studies have been conducted to align products with user preferences. However, the existing collaborative filtering technology has a small number of user–ite...

  • Article
  • Open Access
323 Views
21 Pages

Analytic Study on Φ-Hilfer Fractional Neutral-Type Functional Integro-Differential Equations with Terminal Conditions

  • Ravichandran Vivek,
  • Abdulah A. Alghamdi,
  • Mohamed M. El-Dessoky,
  • Dhandapani Maheswari and
  • Natarajan Bharath

3 January 2026

The current manuscript is concerned with the uniqueness and existence of a solution for a new class of Φ-Hilfer fractional neutral functional integro-differential equations (Φ-HFNFIDEs) with terminal conditions. Firstly, employing Babenko&rsq...

  • Article
  • Open Access
1 Citations
417 Views
37 Pages

3 January 2026

Multimodal forecasting is increasingly needed to maintain energy levels, storage capacity, and compute efficiency in off-grid, renewable-powered cloud environments. Variable sensor quality, uncertain interactions with renewable energy, and rapidly ch...

  • Feature Paper
  • Article
  • Open Access
395 Views
13 Pages

3 January 2026

In this paper, Artificial Intelligence (AI) is developed for studying the Boussinesq Paradigm equation and so called b-equation based on Physics-Informed Cellular Neural Networks (PICNNs). The models studied here come from fluid dynamics. Machine lea...

  • Article
  • Open Access
259 Views
42 Pages

3 January 2026

Nonlinear transport of tracer particles immersed in a sheared dilute gas with inelastic collisions is analyzed within the framework of the Boltzmann kinetic equation. Two different yet complementary approaches are employed to obtain exact results. Fi...

  • Article
  • Open Access
417 Views
19 Pages

2 January 2026

Timely detection and handling of substation defects plays a foundational role in ensuring the stable operation of power systems. Existing substation defect detection methods fail to make full use of the temporal information contained in substation in...

  • Article
  • Open Access
401 Views
34 Pages

2 January 2026

Constrained optimization problems (COPs) are frequent in engineering design yet remain challenging due to complex search spaces and strict feasibility requirements. Existing swarm-based optimizers often rely on penalty functions or algorithm-specific...

  • Article
  • Open Access
409 Views
31 Pages

Gait Dynamics Classification with Criticality Analysis and Support Vector Machines

  • Shadi Eltanani,
  • Tjeerd V. olde Scheper,
  • Johnny Collett,
  • Helen Dawes and
  • Patrick Esser

2 January 2026

Classifying demographic groups of humans from gait patterns is desirable from several long-standing diagnostic and monitoring perspectives. IMU recorded gait patterns are mapped into a nonlinear dynamic representation space using criticality analysis...

  • Review
  • Open Access
728 Views
40 Pages

From Context to Human: A Review of VLM Contextualization in the Recognition of Human States in Visual Data

  • Corneliu Florea,
  • Constantin-Bogdan Popescu,
  • Andrei Racovițeanu,
  • Andreea Nițu and
  • Laura Florea

2 January 2026

This paper presents a narrative review of the contextualization and contribution offered by vision–language models (VLMs) for human-centric understanding in images. Starting from the correlation between humans and their context (background) and...

  • Article
  • Open Access
265 Views
13 Pages

2 January 2026

The aim of this paper is to introduce Leonardo finite operator polynomials and obtain some of their new properties. We first present the recurrence relation provided by Leonardo finite operator polynomials. Then, we give a Binet-like formula, generat...

  • Article
  • Open Access
401 Views
22 Pages

2 January 2026

Radiology report generation, which aims to relieve the heavy workload of radiologists and reduce the risks of misdiagnosis and overlooked diagnoses, is of great significance in current clinical medicine. Most existing methods mainly formulate radiolo...

  • Feature Paper
  • Article
  • Open Access
1 Citations
393 Views
23 Pages

2 January 2026

Growing climate concerns and rising consumer awareness of sustainability have reshaped strategic interactions in platform-based supply chains. This study examines how a manufacturer and an e-commerce platform make channel and fulfillment decisions un...

  • Article
  • Open Access
348 Views
30 Pages

1 January 2026

Accurately forecasting the dynamic linkages among carbon, energy, and stock markets is essential for effective risk management and the design of energy transition strategies. This study proposes a BOHB-optimized Multivariable Graph Neural Network (BO...

  • Article
  • Open Access
523 Views
22 Pages

1 January 2026

Cyberbullying has become a pervasive threat on social media, impacting the safety and wellbeing of users worldwide. Most existing studies focus on monolingual content, limiting their applicability to online environments. This study aims to develop an...

  • Article
  • Open Access
292 Views
22 Pages

1 January 2026

This paper introduces a novel Bayesian Fractional Weibull (BFW) regression framework, which generalizes the classical Weibull accelerated failure time model using fractional calculus. The proposed methodology addresses key challenges in big data reli...

  • Article
  • Open Access
423 Views
28 Pages

1 January 2026

It has been well established that individuals employ different decision strategies depending on the task environment, and these strategies differ in the amount of information search and time required to reach a decision. The present study developed p...

  • Article
  • Open Access
470 Views
26 Pages

Time-Weighted Result-Based Strength Indicators from Head-to-Head Outcomes: An Application to Trotter (Harness) Racing

  • Manuel Ligero-Acosta,
  • Juan M. Muñoz-Pichardo,
  • María Dolores Gómez,
  • María Ripollés-Lobo and
  • Mercedes Valera

1 January 2026

We propose a general methodology for constructing dynamic performance indicators (or strength metrics) in any sport that relies on comparative outcomes among competitors, using chronological positional data. Specifically, we develop a family of stren...

  • Article
  • Open Access
501 Views
19 Pages

1 January 2026

The Traveling Salesman Problem (TSP) is a classic combinatorial optimization problem with broad applications in logistics and smart agriculture. However, despite significant progress in Transformer-based deep reinforcement learning methods, two major...

  • Article
  • Open Access
329 Views
18 Pages

1 January 2026

In this research paper, we introduce the notions of hyperbolic ∗-Ricci solitons and gradient hyperbolic ∗-Ricci solitons. We study the hyperbolic ∗-Ricci solitons on a three-dimensional ε-trans-Sasakian manifold. Specific...

  • Article
  • Open Access
326 Views
33 Pages

31 December 2025

Multi-robot rescue path planning (MRRPP) is critical for ensuring the rapid and effective completion of post-disaster rescue tasks. Most studies focus on minimizing the length of rescue paths, the number of robots, and rescue time, neglecting the tas...

  • Article
  • Open Access
312 Views
40 Pages

31 December 2025

Price is a pivotal determinant of market demand, as higher prices typically reduce sales while lower prices stimulate them. Thus, incorporating price-dependent demand into inventory models is both realistic and necessary. In practice, limited storage...

  • Article
  • Open Access
413 Views
34 Pages

31 December 2025

An age-distributed immuno-epidemiological model with information-based vaccination proposed in this work represents a system of integro-differential equations with compartments for the numbers of susceptible individuals, infected individuals, vaccina...

  • Article
  • Open Access
531 Views
17 Pages

31 December 2025

Path planning in complex, dynamic environments presents a significant challenge. Deep Reinforcement Learning (DRL) offers an end-to-end solution but suffers from critical sample inefficiency and a “cold-start” problem. Imitation Learning...

  • Article
  • Open Access
337 Views
34 Pages

31 December 2025

The pervasive misuse of Duty-Free Quota Abuse Smuggling has seriously undermined fiscal and market order. This study breaks through the traditional model’s assumption of complete rationality and establishes a Multi-Phase Dynamic Decision-Making...

  • Article
  • Open Access
567 Views
30 Pages

31 December 2025

Network slicing in 5G systems enables different Quality of Service (QoS) for heterogeneous Vehicle-to-Everything (V2X) applications, yet efficiently allocating resource blocks from both 5G base stations and roadside units (RSUs) across multiple slice...

  • Article
  • Open Access
421 Views
18 Pages

Research on Longitudinal Dynamics of 20,000-Ton Heavy Haul Trains Considering Braking Characteristics

  • Bo Zhang,
  • Guoyun Liu,
  • Shun Guo,
  • Zhaorui Chang,
  • Siqi Hu,
  • Xingwen Wu and
  • Wubin Cai

31 December 2025

With the development of heavy-haul trains towards long formation and large axle load, the longitudinal impulse problem of trains is aggravated not only by improving the transport capacity of railway freight cars, but also by the braking characteristi...

  • Article
  • Open Access
300 Views
28 Pages

31 December 2025

The Internet of Medical Things (IoMT) interconnects medical devices, software applications, and healthcare services through the internet to enable the transmission and analysis of health data. IoMT facilitates seamless patient care and supports real-...

  • Article
  • Open Access
309 Views
8 Pages

31 December 2025

In some previous works we gave algorithms for determining generators of power integral basis in sextic fields with a quadratic subfield, under certain restrictions. The purpose of the present paper is to extend those methods to the general case, when...

  • Feature Paper
  • Article
  • Open Access
260 Views
14 Pages

31 December 2025

In this paper, the authors investigate a partial inverse spectral problem for Sturm–Liouville operators with frozen arguments on star-shaped graphs. The problem is to reconstruct the potential on one edge from the known potentials on the other...

  • Article
  • Open Access
494 Views
23 Pages

Analyzing the Properties of Graph Neural Networks with Evolutionary Algorithms

  • Zhaowei Liu,
  • Zhifei Lu,
  • Haiyang Wang,
  • Dawei Chen,
  • Shaoyu Wang,
  • Jie Chu,
  • Rufei Gao and
  • Anzuo Jiang

31 December 2025

Graph Neural Networks (GNNs) have achieved remarkable success in graph structure learning, but recent research reveals their vulnerability to carefully designed perturbations. To address this, ProGNN, a GNN model based on graph properties, was propos...

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Mathematics - ISSN 2227-7390