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  • Article
  • Open Access

Algorithms for Solving Systems of Boolean Equations Based on the Transformation of Logical Expressions

  • Anvar Kabulov,
  • Alimdzhan Babadzhanov,
  • Abdussattar Baizhumanov,
  • Islambek Saymanov and
  • Akbarjon Babadjanov
Mathematics2026, 14(4), 594;https://doi.org/10.3390/math14040594 
(registering DOI)

8 February 2026

This manuscript proves specific theorems for transforming Boolean expressions of logical formulas when moving from one basis to another, simplifying the solution of complex equations, especially for cryptographic applications. The paper develops meth...

  • Article
  • Open Access
Mathematics2026, 14(4), 590;https://doi.org/10.3390/math14040590 
(registering DOI)

8 February 2026

To achieve “carbon peak and carbon neutrality” in manufacturing, this paper tackles high energy consumption in flexible job shop production by developing a low-carbon scheduling optimization model with time-of-use electricity pricing, inc...

  • Article
  • Open Access
Mathematics2026, 14(4), 593;https://doi.org/10.3390/math14040593 
(registering DOI)

8 February 2026

The spectral property (ωπ) generalizes the a-Weyl theorem and characterizes the relationships between the spectrum and the upper semi-Fredholm spectrum. This paper proves that any nonzero scalar multiple of an operator verifying the property...

  • Feature Paper
  • Article
  • Open Access
Mathematics2026, 14(4), 591;https://doi.org/10.3390/math14040591 
(registering DOI)

8 February 2026

I address the empirical properties of the popular robust LM tests of Anselin et al. (1996) for the specification of spatial models when employed in a scenario characterized by unobserved common factors with idiosyncratic loadings. I describe the smal...

  • Article
  • Open Access

Experimental Validation of a Robust [FO-PID]λ Controller

  • Nicoleta E. Badau,
  • Ada M. Tudor and
  • Cristina I. Muresan
Mathematics2026, 14(4), 592;https://doi.org/10.3390/math14040592 
(registering DOI)

8 February 2026

Fractional order controllers are more frequently encountered in industrial applications due to their robustness and the improved performance they offer to the system. A large majority of research papers focus on methods for tuning controllers that ar...

  • Article
  • Open Access

Fixed Point of Polynomial F-Contraction with an Application

  • Amjad E. Hamza,
  • Hayel N. Saleh,
  • Bakri Younis,
  • Khaled Aldwoah,
  • Osman Osman,
  • Hicham Saber and
  • Alawia Adam
Mathematics2026, 14(4), 589;https://doi.org/10.3390/math14040589 
(registering DOI)

8 February 2026

This paper introduces polynomial F-contractions, a novel category of contractive mappings within metric spaces. This concept synthesizes two powerful generalizations of the Banach contraction principle: the F-contractions originally developed by Ward...

  • Article
  • Open Access
Mathematics2026, 14(4), 588;https://doi.org/10.3390/math14040588 
(registering DOI)

8 February 2026

This paper investigates the distributed event-triggered fixed-time time-varying formation control problem for a class of nonlinear multi-agent systems subject to model uncertainties and unknown time-varying disturbances. To address issues in traditio...

  • Article
  • Open Access
Mathematics2026, 14(4), 587;https://doi.org/10.3390/math14040587 
(registering DOI)

8 February 2026

The Capacitated Vehicle Routing Problem (CVRP) has a wide range of applications in logistics and transportation. Current metaheuristics typically rely on manually added constraints. A hyper-heuristic framework can reduce the dependency on domain-spec...

  • Article
  • Open Access
Mathematics2026, 14(4), 586;https://doi.org/10.3390/math14040586 
(registering DOI)

7 February 2026

In response to the widespread adoption of hybrid work models, organizations must strategically address the challenges of knowledge transfer and organizational learning in distributed environments. We extend March’s computational model of organi...

  • Article
  • Open Access
Mathematics2026, 14(4), 584;https://doi.org/10.3390/math14040584 
(registering DOI)

7 February 2026

Polygenic adaptation in response to natural selection on a quantitative trait has become an important topic in population genetics and evolution. We modeled a scenario in which a population was assumed to be in equilibrium between mutation, selection...

  • Article
  • Open Access
Mathematics2026, 14(4), 585;https://doi.org/10.3390/math14040585 
(registering DOI)

7 February 2026

This paper proposes a transient response enhancement of a personal mobility device (PMD) battery charger using a rule-based fuzzy logic control (RBFLC) method. PMD encompasses various applications, including electric kickboards, electric scooters, an...

  • Article
  • Open Access
Mathematics2026, 14(4), 583;https://doi.org/10.3390/math14040583 
(registering DOI)

7 February 2026

Let G be a graph with n vertices and m edges. A vertex magic total labeling of G is a bijection f:V(G)E(G){1,2,,n+m} such that, for each vertex uV(G), the sum of the label of u and the labels of all edges incident to u is equ...

  • Article
  • Open Access

Numerical Solutions via Shifted Pell Polynomials for Third-Order Rosenau–Hyman and Gilson–Pickering Equations

  • Mohamed A. Abdelkawy,
  • Waleed Mohamed Abd-Elhameed,
  • Seham S. Alzahrani,
  • Ahmed Gamal Atta and
  • Anjan Biswas

6 February 2026

This paper introduces a collocation algorithm for numerically solving the third-order Gilson–Pickering equation (GPE) and the classical Rosenau–Hyman equation (RHE). We employ newly developed shifted Pell polynomials as basis functions. N...

  • Article
  • Open Access

6 February 2026

The lateral abutment stress and damage range of the coal seam are prerequisites for the layout of gob-side entries and surrounding rock control. They are influenced by the structure and mechanical properties of the coal seam and the overlying strata....

  • Article
  • Open Access

Reliability in Robotics and Intelligent Systems: Mathematical Modeling and Algorithmic Innovations

  • Madina Issametova,
  • Nikita V. Martyushev,
  • Boris V. Malozyomov,
  • Anton Y. Demin,
  • Alexander V. Pogrebnoy,
  • Elizaveta E. Kuleshova and
  • Denis V. Valuev

6 February 2026

The rapid development of digital manufacturing and robotic systems places increased demands on the accuracy and reliability of industrial manipulators. Traditional time-based reliability metrics do not reflect the robot’s ability to consistentl...

  • Article
  • Open Access
18 Views
23 Pages

6 February 2026

In industrial environments, providing intuitive spatial information via 3D maps is essential for maximizing the efficiency of teleoperation. However, existing SLAM algorithms generating 3D maps predominantly focus on improving robot localization accu...

  • Article
  • Open Access
33 Views
20 Pages

6 February 2026

A critical decision in pre-disaster humanitarian logistics planning is determining the amount of aid to preposition to ensure timely and effective emergency response. To support managers in this process, we propose four mathematical formulations desi...

  • Article
  • Open Access
125 Views
29 Pages

5 February 2026

Traditional scheduling theory optimizes initial task assignments under static assumptions, yet operational systems face repeated disruptions requiring both immediate rescheduling and long-term structural adaptation. Existing approaches treat each dis...

  • Article
  • Open Access
102 Views
20 Pages

5 February 2026

Precise medical image segmentation plays a vital role in disease diagnosis and clinical treatment. Although U-Net-based architectures and their Transformer-enhanced variants have achieved remarkable progress in automatic segmentation tasks, they stil...

  • Article
  • Open Access
100 Views
18 Pages

5 February 2026

This paper addresses nonlinear time-varying cascade systems governed by differential equations with finite delay. Several sufficient conditions for asymptotic stability are derived, based on differing assumptions regarding the isolated subsystems and...

  • Article
  • Open Access
46 Views
32 Pages

5 February 2026

Accurate segmentation of pellet microstructure images is crucial for evaluating their metallurgical performance and optimizing production processes. To address the challenges posed by complex structures, blurred boundaries, and fine-grained textures...

  • Article
  • Open Access
58 Views
22 Pages

Application of Machine Learning to Cluster Analysis of Diabetes Mortality at the Municipality Level in Mexico According to Sociodemographic Factors

  • Nelva N. Almanza-Ortega,
  • Carlos Fernando Moreno-Calderon,
  • Sandra Silvia Roblero-Aguilar,
  • Rodolfo Pazos-Rangel,
  • Joaquín Pérez-Ortega,
  • Vanesa Landero-Nájera and
  • Víctor Augusto Castellanos-Escamilla

5 February 2026

In recent years, the mortality due to diabetes has increased around the world. In particular, diabetes is the second leading cause of mortality in Mexico, with a heterogeneous distribution of mortality rates at the municipality level. The objective o...

  • Article
  • Open Access
59 Views
17 Pages

5 February 2026

This paper presents an Implicit Neural Representation method for Event-Based Imaging Velocimetry (INR-VG) to reconstruct dense velocity fields from sparse event streams. The core idea is to learn a mapping (multilayer perceptron) from spatial coordin...

  • Article
  • Open Access
65 Views
25 Pages

5 February 2026

Low contrast is a frequent challenge in image analysis, especially within medical imaging and highly saturated scenes. To address this issue, we present a nonlinear transformation for local contrast enhancement in digital images. Our method adapts th...

  • Feature Paper
  • Article
  • Open Access
44 Views
17 Pages

On Aggregations of Algebraic Objects in Data Modeling

  • Ivana Štajner-Papuga and
  • Andreja Tepavčević

5 February 2026

Aggregation operators are mathematical tools that, under certain constraints in the form of properties imposed on those mathematical functions, provide a representative value for the whole set of input values or structures. The question of when and w...

  • Article
  • Open Access
56 Views
24 Pages

5 February 2026

This paper develops simultaneous confidence intervals (SCIs) for pairwise differences of means with zero-inflated Rayleigh (ZIR) distributions, a flexible framework for modeling positively skewed data with excess zeros. Closed-form expressions for th...

  • Article
  • Open Access
83 Views
17 Pages

Current Transformer Error Compensation Under Core Saturation Conditions Based on Machine Learning Algorithms

  • Ismoil Odinaev,
  • Svetlana Beryozkina,
  • Andrey Pazderin,
  • Mihail Senyuk,
  • Murodbek Safaraliev and
  • Pavel Dubrovin

5 February 2026

To provide information support for relay protection and emergency automation algorithms, electromagnetic measuring voltage and current transformers are most often used. As practice shows, the magnetic core of the current transformers can be saturated...

  • Article
  • Open Access
87 Views
14 Pages

5 February 2026

X-ray imaging is the most widely used modality for fracture diagnosis in clinical practice due to its efficiency and accessibility. However, automated X-ray fracture detection faces two major challenges. First, fracture regions often contain subtle a...

  • Article
  • Open Access
148 Views
31 Pages

A Multi-Model Dynamic Selection Framework Using Deep Contextual Bandits for Urban Traffic Flow Prediction in Large-Scale Road Networks

  • Silai Chen,
  • Shengfeng Mao,
  • Zongcheng Zhang,
  • Xiaoyuan Zhang,
  • Yunxia Wu,
  • Yangsheng Jiang and
  • Zhihong Yao

4 February 2026

To address the challenge of model selection in large-scale traffic flow prediction tasks, this paper proposes a dynamic multi-model selection framework based on Deep Contextual Bandits (DCB). Centered on the optimal combination of sub-models, the fra...

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

Fractional Fuzzy Force-Position Control of Constrained Robots

  • Aldo Jonathan Muñoz-Vázquez,
  • Mohamed Gharib,
  • Juan Diego Sánchez-Torres and
  • Anh-Tu Nguyen

4 February 2026

Modern robotic tasks often require interaction with the surrounding elements in the workspace. In some high-precision tasks, it is essential to stabilize the contact force on a smooth yet rigid surface, which can be modeled as a unilateral constraint...

  • Article
  • Open Access
75 Views
19 Pages

4 February 2026

This article presents a model for pricing an exchange option considering stochastic volatility and liquidity risk. The impact of liquidity risk on an asset price is considered by utilizing a liquidity discount process that is influenced by both marke...

  • Feature Paper
  • Article
  • Open Access
130 Views
19 Pages

4 February 2026

In this paper, a complete analysis is presented to study a reaction–diffusion system of general gene expression with two time delays and with Neumann boundary conditions. The global existence of a unique strong solution and the existence of an...

  • Article
  • Open Access
87 Views
15 Pages

Rigidity and Conformal Characterizations of Noncompact Gradient Schouten Solitons

  • Ali H. Alkhaldi,
  • Fatemah Mofarreh,
  • Huda M. Alshanbari and
  • Akram Ali

4 February 2026

This paper studies the conformal geometry of complete gradient Schouten solitons (GSSs) admitting closed conformal vector fields (CVFs). We establish rigidity and characterization results for nonparallel, homothetic closed CVFs under the assumption t...

  • Article
  • Open Access
112 Views
21 Pages

4 February 2026

This research introduces an advanced attention-driven model designed to optimize mobile shelf warehouse order-picking. Our model incorporates an enhanced masking mechanism and context-aware decoder, streamlining the order-picking process. In essence,...

  • Article
  • Open Access
95 Views
31 Pages

On Model Improvement Algorithms—Generalised Linear Models and Neural Networks

  • Manuel L. Esquível,
  • Nadezhda P. Krasii and
  • Raquel Medeiros Gaspar

4 February 2026

We propose a generic approach to stochastic model improvement by first introducing an archetypal algorithm based on error minimisation and establishing two results on the weak convergence of the probability laws associated with the models under impro...

  • Feature Paper
  • Article
  • Open Access
88 Views
54 Pages

4 February 2026

Airport digital transformation is commonly approached through technological integration and data-driven optimization, yet such perspectives provide limited insight into system-level reasoning and governance. This paper introduces the cognitive airpor...

  • Article
  • Open Access
95 Views
28 Pages

Evaluating the Financial Performance of CSR Strategies and Sustainable Operations in Mexican Companies: An Explainable Machine Learning Approach

  • Laura Elena Jiménez-Casillas,
  • Román Rodríguez-Aguilar,
  • Marisol Velázquez-Salazar and
  • Santiago García-Álvarez

4 February 2026

Research on how corporate social responsibility (CSR) practices linked to sustainable operations (SO) affect corporate financial performance (FP) is still limited. This study presents a novel methodological proposal to measure the individual impact o...

  • Article
  • Open Access
182 Views
27 Pages

3 February 2026

Meta-analysis of proportions requires a rigorous transformation model due to the inherent mathematical constraints of proportional data (boundedness and non-constant variance). This study compared four proportions (Untransformed, Freeman–Tukey,...

  • Article
  • Open Access
111 Views
26 Pages

3 February 2026

This study develops a generalized Newton method to address the nonlinear Kolmogorov forward equation (KFE) under the local stochastic volatility (LSV) framework. Analytical convergence conditions are derived via the geometric series theorem, and empi...

  • Article
  • Open Access
98 Views
38 Pages

An Improved SAO Used for Global Optimization and Economic Power Load Forecasting

  • Lang Zhou,
  • Yaochun Shao,
  • HaoXiang Zhou and
  • Yangjian Yang

3 February 2026

Short-term electricity load forecasting has become increasingly challenging due to growing demand volatility, nonlinear load patterns, and the dynamic penetration of renewable energy sources. Conventional forecasting models often suffer from sensitiv...

  • Article
  • Open Access
98 Views
17 Pages

Balanced Grey Wolf Optimizer Algorithm for Backpropagation Neural Networks

  • Jiashuo Chen,
  • Hao Zhu,
  • Tanjile Shu,
  • Chengkun Cao,
  • Yuanwang Deng and
  • Qing Cheng

3 February 2026

Backpropagation Neural Networks (BPNNs) are widely used in fault diagnosis and parameter prediction due to their simple structure and strong universal approximation capabilities. However, BPNNs suffer from slow convergence and susceptibility to poor...

  • Article
  • Open Access
219 Views
28 Pages

3 February 2026

Malicious Tor traffic data contains deep domain-specific knowledge, which makes labeling challenging, and the lack of labeled data degrades the accuracy of learning-based detectors. Real-world deployments also exhibit severe class imbalance, where ma...

  • Article
  • Open Access
150 Views
24 Pages

3 February 2026

This study develops a mathematical optimization framework to determine optimal inspection policies for imperfect production systems subject to stochastic deterioration. System degradation is modeled using a Weibull power law process, which captures t...

  • Article
  • Open Access
156 Views
32 Pages

3 February 2026

When a physical theory is in its early stages of development, it presents many concepts and constructs that may not be necessary for its interpretation, or may simply be equivocal. As the theory is developed by the physics community, it hopefully pas...

  • Article
  • Open Access
96 Views
21 Pages

3 February 2026

We present a one-parameter family of smooth generalized pinball loss functions to overcome the challenges of non-differentiability, noise sensitivity, and resampling instability inherent in traditional loss functions such as hinge loss. These functio...

  • Article
  • Open Access
91 Views
20 Pages

3 February 2026

Photovoltaic (PV) systems play a significant role in renewable energy production. Due to the nonlinear and multi-modal nature of PV models, using accurate model parameters is crucial. In recent years, metaheuristic algorithms have been utilized to es...

  • Article
  • Open Access
149 Views
26 Pages

Weak Signal Detection Method for Millimeter-Wave Sensor Signals Based on Heterodyne Duffing Oscillator

  • Tai An,
  • Xiaopeng Yan,
  • Ningzhe Zhang,
  • Xinhong Hao,
  • Jinyu Zhang and
  • Jian Dai

3 February 2026

Millimeter-wave technology helps achieve antenna miniaturization and high gain, but it is limited by factors such as short wavelength, high transmission loss, and high signal-to-noise ratio, which put higher requirements on the accuracy and computing...

  • Article
  • Open Access
102 Views
20 Pages

3 February 2026

In this work, a robust optimization approach for energy-aware federated learning (FL) in industrial IoT networks is proposed that addresses uncertainties in harvested energy, device failures, and dynamic topologies. The proposed neurosymbolic reasoni...

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Mathematics - ISSN 2227-7390