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Mathematics, Volume 12, Issue 13

2024 July-1 - 227 articles

Cover Story: The theory of fiber bundles forms a fundamental and versatile basis for many applications in mathematics and physics. A special class are the principal bundles, where the fiber is a torsor—a free group-space homeomorphic to the group. Inspired by adiabatic quantum mechanics, this work considers group-spaces where the fibers are generalized to disjoint unions of torsors, called semi-torsors, which then form semi-principal bundles. These extend the principal bundles, and similarly support equivariant parallel transport. The main difference is that this parallel transport may now end up in a different group orbit, meaning that group translations can no longer describe the situation. This can be mediated by introducing frames of group-spaces, which supply the needed reference points and enable the passage to a (principal) frame bundle. View this paper
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Articles (227)

  • Article
  • Open Access
3 Citations
2,197 Views
12 Pages

8 July 2024

This paper introduces a novel electricity load time-series prediction model, utilizing a broad learning system to tackle the challenge of low prediction accuracy caused by the unpredictable nature of electricity load sequences in a specific region of...

(This article belongs to the Special Issue Complex Process Modeling and Control Based on AI Technology)
  • Article
  • Open Access
2,431 Views
30 Pages

A Fuzzy-Based Approach for Flexible Modeling and Management of Freshwater Fish Farming

  • Ahmed M. Gadallah,
  • Sameh A. Elsayed,
  • Shaymaa Mousa and
  • Hesham A. Hefny

8 July 2024

Most populated developing countries having water resources, like Egypt, are interested in aquaculture since it supplies around 30% of the cheap protein consumed by customers. Increasing the production of aquaculture, specifically fish farming, in suc...

(This article belongs to the Special Issue Advances and Application of Fuzzy Sets, Decision Making and Soft Computing)
  • Article
  • Open Access
2 Citations
1,772 Views
17 Pages

Multistep Iterative Methods for Solving Equations in Banach Space

  • Ramandeep Behl,
  • Ioannis K. Argyros,
  • Sattam Alharbi,
  • Hashim Alshehri and
  • Michael Argyros

8 July 2024

The novelty of this article lies in the fact that we extend the use of a multistep method for developing a sequence whose limit solves a Banach space-valued equation. We suggest the error estimates, local convergence, and semi-local convergence, a ra...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1 Citations
2,097 Views
19 Pages

8 July 2024

We present hidden abstract stack Markov models (HASMMs) with their learning process. The HASMMs we offer carry the more expressive nature of probabilistic context-free grammars (PCFGs) while allowing faster parameter fitting of hidden Markov models (...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1 Citations
1,976 Views
14 Pages

8 July 2024

In contemporary networked control systems (NCSs), ensuring robust and adaptive security measures against dynamic threats like jamming attacks is crucial. These attacks can disrupt the control signals, leading to degraded performance or even catastrop...

  • Article
  • Open Access
8 Citations
2,711 Views
18 Pages

8 July 2024

Achieving accurate equipment fault diagnosis relies heavily on the availability of extensive, high-quality training data, which can be difficult to obtain, particularly for models with new equipment. The challenge is further compounded by the need to...

  • Article
  • Open Access
2 Citations
1,778 Views
10 Pages

8 July 2024

Let (M,F) be a Finsler surface with the isotropic main scalar I=I(x). The well-known Berwald’s theorem states that F is a Berwald metric if and only if it has a constant main scalar I=constant. This ensures a kind of equality of two non-Riemann...

(This article belongs to the Section B: Geometry and Topology)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,623 Views
21 Pages

8 July 2024

Process capability indices are widely utilized to evaluate process performance and drive continuous improvements in quality and productivity. Among these indices, the the-larger-the-better lifetime performance index is particularly noteworthy. For pr...

(This article belongs to the Special Issue Computational Mathematics and Numerical Analysis)
  • Article
  • Open Access
1 Citations
2,494 Views
12 Pages

7 July 2024

We propose a stochastic model of infectious disease transmission that is more realistic than those found in the literature. The model is based on jump-diffusion processes. However, it is defined in such a way that the number of people susceptible to...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
8 Citations
3,966 Views
21 Pages

7 July 2024

In today’s complex and dynamic transportation networks, increasing energy costs and adverse environmental impacts necessitate the efficient transport of goods or raw materials across a network to minimize all related costs through vehicle assig...

(This article belongs to the Special Issue Data-Driven Algorithms for Optimal Decision Making in Logistics and Supply Chain Management)
  • Article
  • Open Access
6 Citations
2,470 Views
22 Pages

Numerical Solution to the Time-Fractional Burgers–Huxley Equation Involving the Mittag-Leffler Function

  • Afzaal Mubashir Hayat,
  • Muhammad Bilal Riaz,
  • Muhammad Abbas,
  • Moataz Alosaimi,
  • Adil Jhangeer and
  • Tahir Nazir

7 July 2024

Fractional differential equations play a significant role in various scientific and engineering disciplines, offering a more sophisticated framework for modeling complex behaviors and phenomena that involve multiple independent variables and non-inte...

(This article belongs to the Special Issue Applications of Partial Differential Equations, 2nd Edition)
  • Article
  • Open Access
2 Citations
2,408 Views
32 Pages

7 July 2024

In this research, the statistical inference of unknown lifetime parameters is proposed in the presence of independent competing risks using a progressive Type-II censored dataset. The lifetime distribution associated with a failure mode is assumed to...

(This article belongs to the Special Issue Application of the Bayesian Method in Statistical Modeling)
  • Feature Paper
  • Article
  • Open Access
2,587 Views
38 Pages

7 July 2024

We study fiber bundles where the fibers are not a group G but a free G-space with disjoint orbits. The fibers are then not torsors but disjoint unions of these; hence, we like to call them semi-torsors. Bundles of semi-torsors naturally generalize pr...

(This article belongs to the Section B: Geometry and Topology)
  • Article
  • Open Access
7 Citations
2,886 Views
21 Pages

7 July 2024

The vehicle–guideway coupled self-excited vibration of maglev systems is a common control instability problem in maglev traffic while the train is suspended above flexible girders, and it seriously affects the suspension stability of maglev veh...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
5 Citations
1,865 Views
15 Pages

7 July 2024

In this article, we introduce several new extensions of Darbo’s fixed point theorem with newly constructed contraction functions associated with the measure of noncompactness. We apply our new extensions to prove the existence of solutions for...

(This article belongs to the Special Issue Soft Computing and Fuzzy Mathematics: New Advances and Applications)
  • Article
  • Open Access
1 Citations
990 Views
14 Pages

7 July 2024

This study mainly focuses on the parabolic Hessian quotient equation in the exterior domain. The existence and uniqueness of generalized parabolically symmetric solutions with generalized asymptotic behavior are proven using Perron’s method.

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
2 Citations
2,382 Views
23 Pages

Updating Correlation-Enhanced Feature Learning for Multi-Label Classification

  • Zhengjuan Zhou,
  • Xianju Zheng,
  • Yue Yu,
  • Xin Dong and
  • Shaolong Li

7 July 2024

In the domain of multi-label classification, label correlations play a crucial role in enhancing prediction precision. However, traditional methods heavily depend on ground-truth label sets, which can be incompletely tagged due to the diverse backgro...

(This article belongs to the Special Issue Advancement of Mathematical Methods in Feature Representation Learning for Artificial Intelligence, Data Mining and Robotics, 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
2,020 Views
22 Pages

7 July 2024

The optimal investment problem for defined contribution (DC) pension plans with partial information is the subject of this paper. The purpose of the return of premium clauses is to safeguard the rights of DC pension plan participants who pass away du...

(This article belongs to the Section E5: Financial Mathematics)
  • Feature Paper
  • Article
  • Open Access
5 Citations
4,834 Views
18 Pages

7 July 2024

This paper introduces innovative sensitivity indices based on Cliff’s Delta for the global sensitivity analysis of structural reliability. These indices build on the Sobol’ method, using binary outcomes (success or failure), but avoid the...

(This article belongs to the Special Issue Sensitivity Analysis and Decision Making)
  • Article
  • Open Access
4 Citations
2,191 Views
12 Pages

SCC-GPT: Source Code Classification Based on Generative Pre-Trained Transformers

  • Mohammad D. Alahmadi,
  • Moayad Alshangiti and
  • Jumana Alsubhi

7 July 2024

Developers often rely on online resources, such as Stack Overflow (SO), to seek assistance for programming tasks. To facilitate effective search and resource discovery, manual tagging of questions and posts with the appropriate programming language i...

  • Article
  • Open Access
15 Citations
1,966 Views
29 Pages

6 July 2024

The paper studies an unsteady equation with quadratic nonlinearity in second derivatives, that occurs in electron magnetohydrodynamics. In mathematics, such PDEs are referred to as parabolic Monge–Ampère equations. An overview of the Mon...

(This article belongs to the Special Issue Applications of Partial Differential Equations in Mathematical Physics, 2nd Edition)
  • Article
  • Open Access
4 Citations
1,704 Views
23 Pages

Characterizing Finite Groups through Equitable Graphs: A Graph-Theoretic Approach

  • Alaa Altassan,
  • Anwar Saleh,
  • Marwa Hamed and
  • Najat Muthana

6 July 2024

This paper introduces equitable graphs of Type I associated with finite groups. We investigate the connectedness and some graph-theoretic properties of these graphs for various groups. Furthermore, we establish the novel concepts of the equitable squ...

(This article belongs to the Special Issue Algebraic Structures and Graph Theory, 2nd Edition)
  • Article
  • Open Access
4 Citations
2,892 Views
20 Pages

A Hybrid News Recommendation Approach Based on Title–Content Matching

  • Shuhao Jiang,
  • Yizi Lu,
  • Haoran Song,
  • Zihong Lu and
  • Yong Zhang

6 July 2024

Personalized news recommendation can alleviate the information overload problem, and accurate modeling of user interests is the core of personalized news recommendation. Existing news recommendation methods integrate the titles and contents of news a...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1 Citations
1,414 Views
21 Pages

Designing Decentralized Multi-Variable Robust Controllers: A Multi-Objective Approach Considering Nearly Optimal Solutions

  • Alberto Pajares,
  • Xavier Blasco,
  • Juan Manuel Herrero,
  • Javier Sanchis and
  • Raúl Simarro

6 July 2024

This article presents a new methodology for designing a robust, decentralized control structure that considers stochastic parametric uncertainty and uses a multi-objective approach. This design tunes the loop pairing and controller to be implemented....

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
7 Citations
5,870 Views
18 Pages

OLF-ML: An Offensive Language Framework for Detection, Categorization, and Offense Target Identification Using Text Processing and Machine Learning Algorithms

  • MD. Nahid Hasan,
  • Kazi Shadman Sakib,
  • Taghrid Tahani Preeti,
  • Jeza Allohibi,
  • Abdulmajeed Atiah Alharbi and
  • Jia Uddin

6 July 2024

The pervasiveness of offensive language on social media emphasizes the necessity of automated systems for identifying and categorizing content. To ensure a more secure online environment and improve communication, effective identification and categor...

  • Article
  • Open Access
8 Citations
2,265 Views
15 Pages

6 July 2024

Mathematical equations that describe all physical processes are valid only under certain assumptions. One of them is the minimum scales used for the given description. In fact, this prohibits the use of derivatives in the mathematical models of the p...

(This article belongs to the Topic Fluid Mechanics, 2nd Edition)
  • Article
  • Open Access
2 Citations
6,048 Views
14 Pages

6 July 2024

Moral foundations theory proposes that individuals with conflicting political views base their behavior on different principles chosen from a small group of universal moral foundations. This study proposes using a set of widely accepted moral foundat...

(This article belongs to the Special Issue Modeling and Simulation of Social-Behavioral Phenomena)
  • Article
  • Open Access
24 Citations
2,038 Views
17 Pages

Synthesis of Optimal Correction Functions in the Class of Disjunctive Normal Forms

  • Anvar Kabulov,
  • Abdussattar Baizhumanov and
  • Islambek Saymanov

5 July 2024

The paper proposes to consider individual heuristics as unreliably operating parts of the information processing system. In a separate case, several different heuristics are adopted to solve the same problem, and the results obtained are adjusted in...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
12 Citations
2,681 Views
21 Pages

5 July 2024

With its formidable nonlinear mapping capabilities, deep learning has been widely applied in bearing remaining useful life (RUL) prediction. Given that equipment in actual work is subject to numerous disturbances, the collected data tends to exhibit...

(This article belongs to the Topic AI and Data-Driven Advancements in Industry 4.0)
  • Article
  • Open Access
13 Citations
4,155 Views
21 Pages

5 July 2024

The receiver operating characteristic (ROC) curve is a valuable statistical tool in medical research. It assesses a biomarker’s ability to distinguish between diseased and healthy individuals. The area under the ROC curve (AUC) and the Youden i...

(This article belongs to the Special Issue Statistical Analysis and Data Science for Complex Data)
  • Article
  • Open Access
2 Citations
2,001 Views
12 Pages

5 July 2024

We introduce some methods for constructing quaternary Hermitian self-orthogonal (HSO) codes, and construct quaternary [n, 5] HSO for 342≤n≤492. Furthermore, we present methods of constructing Hermitian linear complementary dual (HLCD) code...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
2,807 Views
23 Pages

A New Three-Phase Hybrid Multilevel Topology with Hybrid Modulation and Control Strategy for Front-End Converter Applications

  • Muhammad Ali,
  • Muhammad Talib Faiz,
  • Muhammad Mansoor Khan,
  • Vincent Ng and
  • Ka-Hong Loo

5 July 2024

This article presents a novel hybrid three-phase multilevel topology with a hybrid modulation and a control strategy for lower-medium voltage front-end converters. The proposed topology consists of a series arrangement of a three-phase full bridge an...

(This article belongs to the Special Issue Control, Modeling and Optimization for Multiphase Machines and Drives)
  • Article
  • Open Access
1 Citations
3,579 Views
17 Pages

Efficient Parallel Processing of R-Tree on GPUs

  • Jian Nong,
  • Xi He,
  • Jia Chen and
  • Yanyan Liang

5 July 2024

R-tree is an important multi-dimensional data structure widely employed in many applications for storing and querying spatial data. As GPUs emerge as powerful computing hardware platforms, a GPU-based parallel R-tree becomes the key to efficiently po...

(This article belongs to the Special Issue Recent Advances of Mathematics in Industrial Engineering)
  • Article
  • Open Access
1 Citations
2,650 Views
12 Pages

5 July 2024

Existing 3D semantic scene reconstruction methods utilize the same set of features extracted from deep learning networks for both 3D semantic estimation and geometry reconstruction, ignoring the differing requirements of semantic segmentation and geo...

(This article belongs to the Special Issue New Advances and Applications in Image Processing and Computer Vision)
  • Article
  • Open Access
2 Citations
2,016 Views
21 Pages

5 July 2024

Software fault localization technology aims to identify suspicious statements that cause software failures, which is crucial for ensuring software quality. Spectrum-based software fault location (SBFL) technology calculates the suspiciousness of each...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
5 Citations
2,294 Views
34 Pages

Security Control for a Fuzzy System under Dynamic Protocols and Cyber-Attacks with Engineering Applications

  • Mourad Kchaou,
  • Cecilia Castro,
  • Rabeh Abbassi,
  • Víctor Leiva and
  • Houssem Jerbi

5 July 2024

The objective of this study is to design a security control for ensuring the stability of systems, maintaining their state within bounded limits and securing operations. Thus, we enhance the reliability and resilience in control systems for critical...

  • Article
  • Open Access
2 Citations
1,799 Views
17 Pages

Greedy Kernel Methods for Approximating Breakthrough Curves for Reactive Flow from 3D Porous Geometry Data

  • Robin Herkert,
  • Patrick Buchfink,
  • Tizian Wenzel,
  • Bernard Haasdonk,
  • Pavel Toktaliev and
  • Oleg Iliev

5 July 2024

We address the challenging application of 3D pore scale reactive flow under varying geometry parameters. The task is to predict time-dependent integral quantities, i.e., breakthrough curves, from the given geometries. As the 3D reactive flow simulati...

(This article belongs to the Special Issue Advanced Numerical and Computational Methods for Engineering and Applied Mathematical Problems)
  • Article
  • Open Access
3 Citations
2,302 Views
26 Pages

Simulations and Bisimulations between Weighted Finite Automata Based on Time-Varying Models over Real Numbers

  • Predrag S. Stanimirović,
  • Miroslav Ćirić,
  • Spyridon D. Mourtas,
  • Pavle Brzaković and
  • Darjan Karabašević

5 July 2024

The zeroing neural network (ZNN) is an important kind of continuous-time recurrent neural network (RNN). Meanwhile, the existence of forward and backward simulations and bisimulations for weighted finite automata (WFA) over the field of real numbers...

(This article belongs to the Special Issue Advances in Fuzzy Logic and Artificial Neural Networks)
  • Article
  • Open Access
2 Citations
1,823 Views
26 Pages

4 July 2024

The defining attribute of self-excited motion is its capability to extract energy from a stable environment and regulate it autonomously, making it an extremely promising innovation for microdevices, autonomous robotics, sensor technologies, and ener...

(This article belongs to the Special Issue Mathematics and Its Applications in Science and Engineering, 3rd Edition)
  • Article
  • Open Access
3 Citations
2,580 Views
17 Pages

Quasi-Analytical Solution of Kepler’s Equation as an Explicit Function of Time

  • A. N. Beloiarov,
  • V. A. Beloiarov,
  • R. C. Cruz-Gómez,
  • C. O. Monzón and
  • J. L. Romero

4 July 2024

Although Kepler’s laws can be empirically proven by applying Newton’s laws to the dynamics of two particles attracted by gravitational interaction, an explicit formula for the motion as a function of time remains undefined. This paper pro...

(This article belongs to the Special Issue Advances in Computational Mathematics and Applied Mathematics)
  • Article
  • Open Access
4 Citations
2,428 Views
16 Pages

4 July 2024

Cross-lingual summarization (CLS) is essential for enhancing global communication by facilitating efficient information exchange across different languages. However, owing to the scarcity of CLS data, recent studies have employed multi-task framework...

(This article belongs to the Special Issue Recent Trends and Advances in the Natural Language Processing)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,532 Views
15 Pages

4 July 2024

In this paper, we examine a sequence of uncountable iterated function systems (U.I.F.S.), where each term in the sequence is constructed from an uncountable collection of contraction mappings along with a linear and continuous operator. Each U.I.F.S....

(This article belongs to the Special Issue Mathematics and Its Applications in Science and Engineering, 3rd Edition)
  • Article
  • Open Access
3 Citations
1,789 Views
16 Pages

4 July 2024

This paper focuses on developing a predictive model for wind energy production in Italy, aligning with the ambitious goals of the European Green Deal. In particular, by utilising real data from the SUD (South) Italian electricity zone over seven year...

(This article belongs to the Special Issue Statistical Data Modeling and Machine Learning with Applications, 3rd Edition)
  • Article
  • Open Access
25 Citations
4,435 Views
34 Pages

4 July 2024

This study introduces a novel approach to data gathering in energy-harvesting wireless sensor networks (EH-WSNs) utilizing cooperative multi-agent reinforcement learning (MARL). In addressing the challenges of efficient data collection in resource-co...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
2 Citations
1,386 Views
10 Pages

4 July 2024

Certain characteristics of univalent functions with negative coefficients of the form f(z)=z−∑n=1∞a2nz2n,a2n>0 have been studied by Silverman and Berman. Pokley, Patil and Shrigan have discovered some insights into the Hadamard pro...

(This article belongs to the Special Issue Current Topics in Geometric Function Theory)
  • Article
  • Open Access
14 Citations
2,215 Views
16 Pages

4 July 2024

Solar energy has become a promising renewable energy source, offering significant opportunities for photovoltaic (PV) systems. Accurate and reliable PV generation forecasts are crucial for efficient grid integration and optimized system planning. How...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
12 Citations
1,509 Views
16 Pages

4 July 2024

In this study, we investigate the tangent bundle TM of an n-dimensional (pseudo-)Riemannian manifold M equipped with a Ricci-quarter symmetric metric connection ∇˜. Our primary goal is to establish the necessary and sufficient conditions...

(This article belongs to the Special Issue Differential Geometry, Geometric Analysis and Their Related Applications)
  • Article
  • Open Access
1,962 Views
19 Pages

4 July 2024

The interaction of two simple delta shock waves for a pressureless gas dynamic system is considered. The result of the interaction is a delta shock wave with constant speed. This interaction is approximated by letting the perturbed parameter in the E...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
3 Citations
1,661 Views
9 Pages

4 July 2024

Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated with each other using the tensor structure. Here, we consider a special c...

(This article belongs to the Special Issue Recent Studies in Differential Geometry and Its Applications)
  • Article
  • Open Access
1,788 Views
16 Pages

3 July 2024

An anisotropic foundation pit steady-state seepage field under a suspended waterproof curtain support considering the position of the free surface is studied analytically, and an analytical solution for the free surface position is given. The head di...

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Mathematics - ISSN 2227-7390