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Mathematics, Volume 13, Issue 5

2025 March-1 - 208 articles

Cover Story: Slow neutron propagation exhibits analogous wave-like behavior under quantum mechanics, similarly to light as a cascade of photons. This intriguing property inspired us to explore holography and related optical phenomena—diffraction, interference, and confinement—for innovative applications in imaging and materials analysis. To this end, we employed a mathematical framework based on Green’s functions and Dirichlet boundary conditions to perform insightful and original computational simulations. This approach enables the digital computation of hologram recording and reconstruction for thermal neutron wavelengths. The results presented in this paper demonstrate rapid computation, broad applicability, and potential advancements in neutron-based imaging techniques. View this paper
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Articles (208)

  • Article
  • Open Access
5 Citations
1,380 Views
10 Pages

6 March 2025

In the framework of the quantum theory of many-particle systems, we study the compatibility of approximated non-equilibrium Green’s functions (NEGFs) and of approximated solutions of the Dyson equation with a modified continuity equation of the...

(This article belongs to the Special Issue Mathematics and Applications)
  • Article
  • Open Access
3 Citations
1,646 Views
34 Pages

6 March 2025

In this paper, we introduce an Adams-type predictor–corrector method based on a modified graded mesh for solving Caputo fractional differential equations. This method not only effectively handles the weak singularity near the initial point but...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
2 Citations
5,769 Views
42 Pages

6 March 2025

In the context of new retail, the development of omni-channels is flourishing. The entry threshold for the clothing industry is low, and the popularity of online shopping has, to some extent, reduced consumers’ perception of the authenticity of...

  • Article
  • Open Access
3 Citations
1,627 Views
12 Pages

6 March 2025

The problem of finding a maximum acyclic matching in a simple undirected graph is known to be NP-complete. In this paper, we present new results; we show that a maximum acyclic matching in a given undirected graph (with n vertices and m edges) can be...

  • Feature Paper
  • Article
  • Open Access
2 Citations
2,222 Views
17 Pages

6 March 2025

Wireless powered communication networks (WPCNs) provide a sustainable solution for energy-constrained IoT devices by enabling wireless energy transfer (WET) in the downlink and wireless information transmission (WIT) in the uplink. However, their per...

(This article belongs to the Special Issue Advanced Algorithms in Wireless Communication and Internet of Things (IoT))
  • Feature Paper
  • Article
  • Open Access
8 Citations
5,828 Views
30 Pages

6 March 2025

DeepFake detection models play a crucial role in ambient intelligence and smart environments, where systems rely on authentic information for accurate decisions. These environments, integrating interconnected IoT devices and AI-driven systems, face s...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
3 Citations
1,650 Views
39 Pages

6 March 2025

In this paper, we develop kernel-based estimators for regression functions under a functional single-index model, applied to censored time series data. By capitalizing on the single-index structure, we reduce the dimensionality of the covariate-respo...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1 Citations
1,474 Views
20 Pages

Center of Trapezoid Graph: Application in Selecting Center Location to Set up a Private Hospital

  • Shaoli Nandi,
  • Sukumar Mondal,
  • Sovan Samanta,
  • Sambhu Charan Barman and ,
  • Leo Mrsic and
  • Antonios Kalampakas
  • + 1 author+ 0 author

6 March 2025

The central location problem is a key aspect of graph theory, with a significant importance in various applications and studies within the field. The center of a graph is made up of nodes that have the smallest eccentricity, where eccentricity is def...

  • Article
  • Open Access
4 Citations
1,496 Views
28 Pages

6 March 2025

As one of the key components in rotating machinery, rolling bearings have a crucial impact on the safety and efficiency of production. Acoustic signal is a commonly used method in the field of mechanical fault diagnosis, but an overlapping phenomenon...

(This article belongs to the Special Issue Numerical Analysis in Computational Mathematics)
  • Article
  • Open Access
3 Citations
4,044 Views
29 Pages

6 March 2025

In the wave of digital transformation and Industry 4.0, accurate time series forecasting has become critical across industries such as manufacturing, energy, and finance. However, while deep learning models offer high predictive accuracy, their lack...

(This article belongs to the Special Issue Applications of Cloud Computing, Big Data, and Data Dissemination in Information Engineering)
  • Article
  • Open Access
5 Citations
2,240 Views
19 Pages

A Novel SHAP-GAN Network for Interpretable Ovarian Cancer Diagnosis

  • Jingxun Cai,
  • Zne-Jung Lee,
  • Zhihxian Lin and
  • Ming-Ren Yang

6 March 2025

Ovarian cancer stands out as one of the most formidable adversaries in women’s health, largely due to its typically subtle and nonspecific early symptoms, which pose significant challenges to early detection and diagnosis. Although existing dia...

(This article belongs to the Special Issue Advances in Artificial Intelligence, Machine Learning and Optimization)
  • Article
  • Open Access
9 Citations
1,574 Views
16 Pages

Conformal Interactions of Osculating Curves on Regular Surfaces in Euclidean 3-Space

  • Yingxin Cheng,
  • Yanlin Li,
  • Pushpinder Badyal,
  • Kuljeet Singh and
  • Sandeep Sharma

6 March 2025

Conformal maps preserve angles and maintain the local shape of geometric structures. The osculating curve plays an important role in analyzing the variations in curvature, providing a detailed understanding of the local geometric properties and the i...

(This article belongs to the Special Issue Geometric Topology and Differential Geometry with Applications)
  • Article
  • Open Access
1 Citations
1,835 Views
23 Pages

Hybrid Disassembly Line Balancing of Multi-Factory Remanufacturing Process Considering Workers with Government Benefits

  • Xiaoyu Niu,
  • Xiwang Guo,
  • Peisheng Liu,
  • Jiacun Wang and ,
  • Shujin Qin,
  • Liang Qi,
  • Bin Hu and
  • Yingjun Ji
  • + 3 authors+ 0 author

6 March 2025

Optimizing multi-factory remanufacturing systems with social welfare considerations presents critical challenges in task allocation and process coordination. This study addresses this gap by proposing a hybrid disassembly line balancing and multi-fac...

(This article belongs to the Special Issue Knowledge- and Learning-Driven Meta-Heuristics for Addressing Complex Optimization and Scheduling Problems)
  • Article
  • Open Access
1,419 Views
15 Pages

6 March 2025

One major challenge in preventing infectious diseases comes from human control behaviors. In the context of vector-borne diseases (VBDs), I explored how the waxing and waning of a human psychological emotion—fear—can generate diverse cont...

(This article belongs to the Special Issue Mathematical Epidemiological Models: Classical and Interdisciplinary Applications)
  • Article
  • Open Access
1 Citations
1,305 Views
18 Pages

6 March 2025

This paper consider a nonlinear shear thickening fluid in one dimensional bounded interval. The model illustrates that the movement of the compressible fluid is driven by non-Newtonian gravity, and represents a more realistic phenomenon. The well-pos...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
4 Citations
2,333 Views
19 Pages

6 March 2025

This paper addresses a distributed permutation flowshop scheduling problem with an order acceptance strategy in heterogeneous factories. Each order has a related revenue and due date, and several flowshop machines are operated in each factory, and th...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
4 Citations
3,688 Views
32 Pages

6 March 2025

This study addresses a specialized variant of the full-truckload delivery problem inspired by a Turkish logistics firm that operates in the liquid transportation sector. An exact algorithm is proposed for the relevant problem, to which no exact appro...

  • Article
  • Open Access
10 Citations
1,718 Views
25 Pages

A New Hjorth Distribution in Its Discrete Version

  • Hanan Haj Ahmad and
  • Ahmed Elshahhat

6 March 2025

The Hjorth distribution is more flexible in modeling various hazard rate shapes, including increasing, decreasing, and bathtub shapes. This makes it highly useful in reliability analysis and survival studies, where different failure rate behaviors mu...

(This article belongs to the Special Issue New Advances in Distribution Theory and Its Applications)
  • Feature Paper
  • Article
  • Open Access
1,518 Views
22 Pages

5 March 2025

Let M be an Abelian monoid. A necessary and sufficient condition for the class ArmM of all Armendariz rings relative to M to coincide with the class Arm of all Armendariz rings is given. As a consequence, we prove that ArmM has exactly three cases: t...

(This article belongs to the Section A: Algebra and Logic)
  • Feature Paper
  • Article
  • Open Access
3 Citations
1,635 Views
20 Pages

On Error Estimation and Convergence of the Difference Scheme for a Nonlinear Elliptic Equation with an Integral Boundary Condition

  • Regimantas Čiupaila,
  • Mifodijus Sapagovas,
  • Kristina Pupalaigė and
  • Gailė Kamilė Šaltenienė

5 March 2025

In this paper, a two-dimensional nonlinear elliptic equation with an integral boundary condition depending on two parameters is investigated. The problem is solved using the finite difference method. The error in the solution is evaluated based on th...

(This article belongs to the Special Issue New Trends in Nonlinear Analysis)
  • Article
  • Open Access
1,318 Views
17 Pages

5 March 2025

Wax is a commonly used lubricant in many applications. To ensure its security and dependability, degradation analyses for creep are typically conducted. However, challenges arise due to the poorly understood inherent mechanisms of wax and the complic...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
3 Citations
2,584 Views
20 Pages

5 March 2025

Multi-access edge computing (MEC) has emerged as a cornerstone technology for deploying 6G network services, offering efficient computation and ultra-low-latency communication. The integration of unmanned aerial vehicles (UAVs) and reconfigurable int...

  • Article
  • Open Access
1,138 Views
12 Pages

On a Quotient Ring That Satisfies Certain Identities via Generalized Reverse Derivations

  • Nawaf L. Alsowait,
  • Mohammed Al-Shomrani,
  • Radwan M. Al-omary and
  • Zakia Z. Al-Amery

5 March 2025

In this article, for a prime ideal ρ of an arbitrary ring ℜ, we study the commutativity of the quotient ring ℜ/ρ, whenever ℜ admits a generalized reverse derivation ϑ associated with a reverse derivation ∂ that sa...

(This article belongs to the Special Issue Advanced Research in Pure and Applied Algebra)
  • Feature Paper
  • Article
  • Open Access
10 Citations
4,948 Views
21 Pages

A Hybrid Approach for the Container Loading Problem for Enhancing the Dynamic Stability Representation

  • Ana María Montes-Franco,
  • Juan Camilo Martinez-Franco,
  • Alejandra Tabares and
  • David Álvarez-Martínez

5 March 2025

In the container loading problem (CLP), the construction of packing patterns is driven by the maximization of the volume occupied, and comprises several constraints such as loading feasibility, weight balance, cargo stability, operational safety, mat...

  • Feature Paper
  • Review
  • Open Access
4,416 Views
24 Pages

5 March 2025

We survey some of the main developments in probability theory during the so-called “heroic age”; that is, the period from the nineteen twenties to the early nineteen fifties. It was during the heroic age that probability finally attained...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
1 Citations
1,937 Views
25 Pages

5 March 2025

Solving satisfiability problems is central to many areas of computer science, including artificial intelligence and optimization. Efficiently solving satisfiability problems requires exploring vast search spaces, where search space partitioning plays...

(This article belongs to the Special Issue Formal Methods in Computer Science: Theory and Applications)
  • Article
  • Open Access
5 Citations
2,322 Views
23 Pages

5 March 2025

Largely motivated by the industrial practice in which a platform giant will encroach online retailing by introducing private label (PL) products, this paper aims to investigate the optimal introduction decision for a platform and identify the best sa...

  • Article
  • Open Access
1 Citations
2,976 Views
18 Pages

5 March 2025

The continual reassessment method (CRM) has been an essential Bayesian finding design in phase I clinical trials. It utilizes all the information in observed data which contributes to its essential operational characteristics. However, the CRM has be...

  • Article
  • Open Access
1 Citations
2,657 Views
23 Pages

5 March 2025

When collecting data using ERT2D (2D electrical resistivity tomography) and TDIPT2D (2D time domain-induced polarization), different phenomena can occur, which can cause natural or anthropogenic noise, contaminating the data and making its processing...

  • Article
  • Open Access
1 Citations
1,598 Views
12 Pages

5 March 2025

In this paper, we propose a new finite-difference method for nonconvex absolute value equations. The nonsmooth unconstrained optimization problem equivalent to the absolute value equations is considered. The finite-difference technique is considered...

  • Article
  • Open Access
1 Citations
2,492 Views
14 Pages

5 March 2025

The disambiguation of word senses (Word Sense Disambiguation, WSD) plays a crucial role in various natural language processing (NLP) tasks, such as machine translation, sentiment analysis, and information retrieval. Due to the complex morphological s...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1 Citations
1,539 Views
22 Pages

5 March 2025

In this paper, we discuss a class of nonlocal parabolic systems with nonlinear boundary conditions arising from the thermal explosion theory. First, we prove the local existence and uniqueness of the classical solution using the Leray–Schauder...

(This article belongs to the Topic Numerical Methods for Partial Differential Equations)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,939 Views
23 Pages

5 March 2025

The generalized linear autoregressive moving-average model (GLARMA) has been used in epidemiology to evaluate the impact of pollutants on health. These effects are quantified through the relative risk (RR) measure, which inference can be based on the...

(This article belongs to the Section E5: Financial Mathematics)
  • Feature Paper
  • Article
  • Open Access
5 Citations
3,590 Views
18 Pages

A Study of the Colombian Stock Market with Multivariate Functional Data Analysis (FDA)

  • Deivis Rodríguez Cuadro,
  • Sonia Pérez-Plaza,
  • Antonia Castaño-Martínez and
  • Fernando Fernández-Palacín

5 March 2025

In this work, Functional Data Analysis (FDA) is used to detect behavioral patterns in the Bolsa de Valores de Colombia (BVC) in reaction to the global crises caused by COVID-19 and the war in Ukraine. The oil price fluctuation curve is considered a c...

(This article belongs to the Topic Advanced Techniques and Modeling in Business and Economics)
  • Article
  • Open Access
4 Citations
1,293 Views
18 Pages

5 March 2025

The problem of mathematical modeling and analysis of stochastic phenomena in population systems with competition is considered. This problem is investigated based on a discrete system of two populations modeled by the Ricker map. We study the depende...

(This article belongs to the Section E3: Mathematical Biology)
  • Review
  • Open Access
138 Citations
61,397 Views
33 Pages

4 March 2025

Retrieval-augmented generation (RAG) leverages the strengths of information retrieval and generative models to enhance the handling of real-time and domain-specific knowledge. Despite its advantages, limitations within RAG components may cause halluc...

(This article belongs to the Special Issue Data Mining and Machine Learning in the Era of Big Knowledge and Large Models)
  • Article
  • Open Access
1 Citations
1,810 Views
14 Pages

4 March 2025

Langlands duality is one of the most influential topics in mathematical research. It has many different appearances and influential subtopics. Yet there is a topic that until now has seemed unrelated to the Langlands program. That is the topic of inv...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
3 Citations
1,199 Views
30 Pages

4 March 2025

In this article, we consider the equations of the nonlinear model of a thermoelastic extensible Timoshenko beam, recently derived by Aouadi in the context of Fourier’s law. The new aspect we propose here is to introduce a second sound model in...

(This article belongs to the Special Issue Asymptotic Analysis and Applications)
  • Feature Paper
  • Article
  • Open Access
5 Citations
2,799 Views
25 Pages

4 March 2025

A novel partially functional linear regression model with random effects is proposed to address the case of Euclidean covariates and functional covariates. Specifically, the model assumes that the random effects follow a Gaussian process prior to est...

(This article belongs to the Special Issue Nonparametric Regression Models: Theory and Applications)
  • Feature Paper
  • Article
  • Open Access
2 Citations
1,768 Views
21 Pages

4 March 2025

The different forms of power functions will be studied in connection with the unified fractional derivative, and their Fourier transform will be computed. In particular, one-sided, even, and odd powers will be studied.

(This article belongs to the Special Issue Fractional Calculus and Mathematical Applications, 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
1 Citations
799 Views
29 Pages

4 March 2025

If M is an algebra in a semidegenerate congruence-modular variety V, then the set Con(M) of congruences of M is an integral complete l-groupoid (= icl-groupoid). For any morphism f:M→N of V, consider the map f•:Con(M)→Con(N), where, fo...

(This article belongs to the Section A: Algebra and Logic)
  • Article
  • Open Access
9 Citations
7,926 Views
19 Pages

4 March 2025

The rapid expansion of digital news sources has necessitated intelligent systems capable of filtering, analyzing, and deriving meaningful insights from vast amounts of information in real time. This study presents an AI-driven chatbot designed for re...

(This article belongs to the Topic Soft Computing and Machine Learning)
  • Article
  • Open Access
10 Citations
3,295 Views
22 Pages

SHAP Informed Neural Network

  • Jarrod Graham and
  • Victor S. Sheng

4 March 2025

In the context of neural network optimization, this study explores the performance and computational efficiency of learning rate adjustment strategies applied with Adam and SGD optimizers. Methods evaluated include exponential annealing, step decay,...

(This article belongs to the Special Issue Neural Networks and Their Applications)
  • Feature Paper
  • Article
  • Open Access
1,995 Views
13 Pages

4 March 2025

Barrier certificate is a powerful tool for verifying they safety property of dynamical systems. In this paper, we introduce an innovative learner–refiner framework for synthesizing polynomial barrier certificates. The framework comprises a lear...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1 Citations
1,264 Views
15 Pages

3 March 2025

This study investigates the nonlocal boundary value problem for generalized Laplacian equations involving a singular, possibly non-integrable weight function. By analyzing the asymptotic behaviors of the nonlinearity f=f(s) near both s=0 and s=&infin...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
20 Citations
5,209 Views
29 Pages

Enhancing User Experience in Smart Tourism via Fuzzy Logic-Based Personalization

  • Konstantina Chrysafiadi,
  • Aristea Kontogianni,
  • Maria Virvou and
  • Efthimios Alepis

3 March 2025

In the era of smart tourism, providing seamless and personalized experiences has become significant for enhancing user satisfaction and engagement. This paper presents a novel fuzzy logic-based application system designed to enhance personalization i...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
2 Citations
3,586 Views
20 Pages

Multi-Modal Temporal Dynamic Graph Construction for Stock Rank Prediction

  • Ying Liu,
  • Zengyu Wei,
  • Long Chen,
  • Cai Xu and
  • Ziyu Guan

3 March 2025

Stock rank prediction is an important and challenging task. Recently, graph-based prediction methods have emerged as a valuable approach for capturing the complex relationships between stocks. Existing works mainly construct static undirected relatio...

(This article belongs to the Special Issue Mathematics-Based Methods in Artificial Intelligence, Pattern Recognition and Deep Learning, 2nd Edition)
  • Article
  • Open Access
3 Citations
2,400 Views
18 Pages

Improved Design of an Eddy-Current Speed Sensor Based on Harmonic Modeling Technique

  • Duy-Tinh Hoang,
  • Manh-Dung Nguyen,
  • Yong-Joo Kim,
  • Anh-Tuan Phung and ,
  • Kyung-Hun Shin and
  • Jang-Young Choi
  • + 1 author+ 0 author

3 March 2025

This study proposes an improved design of an eddy-current speed sensor (ECSS) by adding a ferromagnetic core to the stator, resulting in a sensitivity enhancement ranging from three to sixty times compared to a reference model according to shaft mate...

(This article belongs to the Special Issue Mathematical Modelling and Numerical Analysis in Electrical Engineering, 2nd Edition)
  • Article
  • Open Access
3 Citations
1,699 Views
22 Pages

3 March 2025

The main purpose of this paper is to introduce and investigate the notion of Jacobi–Jordan conformal algebras. They are a generalization of Jacobi–Jordan algebras which correspond to the case in which the formal parameter λ equals...

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Mathematics - ISSN 2227-7390