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Mathematical and Computational Applications
Scopus
ISSN 2297-8747 · MDPI AG · 1.006 artikel di indeks
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Artikel Jurnal Teks lengkap
Techniques Applied to Autonomous Liquid Pouring: A Scoping Review
In recent years, autonomous liquid pouring systems have gained more relevance, with applications from daily service tasks to complex industrial operations. While seemingly simple for humans, this task poses major challenges for automated systems, as it requires precise control and adaptation to…
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GMD-AD: A Graph Metric Dimension-Based Hybrid Framework for Privacy-Preserving Anomaly Detection in Distributed Databases
Distributed databases are increasingly used in enterprise and cloud environments, but their distributed architecture introduces significant security challenges, including data leaks and insider threats. In the context of escalating cyber threats targeting large-scale distributed databases and…
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A Transfer-Learning Approach for Detection of Multiclass Synthetic Skin Cancer Images Generated by Deep Generative Models to Prevent Medical Insurance Fraud
Artificial Intelligence is advancing rapidly, raising critical concerns about the integrity of digital content, particularly in sensitive domains such as medical imaging. Recent AI techniques, such as Generative Adversarial Networks (GANs) and diffusion models, can generate highly realistic…
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Understanding S-Box Security Assessment: A Practical Guide
S-boxes are the core nonlinear components of ciphers, providing confusion and diffusion. As a result, cryptanalysts focus on analyzing these components to identify distinguishers and ultimately recover the secret key of the cipher. Although many constructions exist, the search for new S-boxes…
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Unifying Models of Trophic Exploitation: A Mathematical Framework for Understanding the Paradox of Enrichment
The rapid increase in the world’s human population has largely been attributed to efforts aimed at enhancing primary productivity and enriching food resources. However, an intriguing proposition of M. Rosenzweig, known as the paradox of enrichment, challenged the notion that such enrichment schemes…
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Revised Long-Term Scheduling Model for Multi-Stage Biopharmaceutical Processes
Biopharmaceuticals are therapeutic drugs engineered to target specific sites within the body. Their manufacturing process comprises two primary stages: upstream processing (USP) and downstream processing (DSP). USP primarily involves cell culture and growth, whereas DSP focuses on purifying and…
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Mathematical Model Analysis for Dynamics and Control of Yellow Fever and Malaria Disease Co-Infections
Yellow fever (YF) and malaria co-infections are real public health concerns in Africa, especially in countries such as Nigeria, where mosquitoes carrying both pathogens (Aedes for YF, Anopheles for malaria) coexist. A mathematical model that considers the critical factors influencing the…
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Feature Paper Collection of Mathematical and Computational Applications—2025
This Special Issue comprises the fifth collection of papers submitted by both the Editorial Board Members (EBMs) of the journal Mathematical and Computational Applications (MCA) and the outstanding scholars working in the core research fields of MCA [...]
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Lie Point and Q-Conditional Symmetries, Exact Solutions, and Conservation Laws for a Reaction–Diffusion System in Mathematical Biology
This study investigates the Lie point and Q-conditional symmetries of a classical two-component reaction–diffusion system in one spatial dimension. The symmetry classifications for the reaction–diffusion system and corresponding symmetry reductions are provided. Employing Ibragimov’s method, we…
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A Rocq-Based Formalization of Hilbert’s Geometry: Building a Reusable Foundation for 3D Perpendicularity Theory and Verification
Hilbert’s axiom system for geometry is a landmark in formal methods. This paper presents a complete formalization of spatial perpendicularity—a theory not fully developed in Hilbert’s original work—using the Rocq proof assistant. We systematically defined the relations of perpendicularity between…
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The Structure of the Route to the Period-Three Orbit in the Collatz Map
The Collatz map is investigated from a nonlinear-dynamics perspective with emphasis on the structure of its iterative orbits. By embedding integers within Sharkovsky’s ordering, odd initial values are shown to be sufficient for a complete characterization of dynamics. A “direction-phase”…
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Research on Scheduling of Metal Structural Part Blanking Workshop with Feeding Constraints
Taking a metal structural part blanking workshop as the application background, this study addresses the challenges of high material variety, long crane feeding travel caused by heterogeneous line-side storage layouts, and frequent machine stoppages due to the limited feeding capacity of a single…
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New Adaptive Echolocation Radar Technique Incorporated into the Bat Algorithm Applied to Benchmark Functions (Radar-Bat)
This article proposes a bat algorithm that incorporates novel techniques inspired by maritime radars, referred to as the Radar-Bat algorithm. This proposed method allows each virtual bat to identify the position of the best solution at a given distance within the search space. It incorporates an…
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An Improved Approach Based on a New Laplace Model Using Classical and Risk Measures
In this paper, we propose a generalized odd log-logistic standard Laplace model and study some of its main properties. The novelty of this model is based on classical and risk-based measures to effectively analyze the body mass index (BMI) data. The analysis underscores the importance of a…
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Advanced Mathematical Optimization of PMSM Speed Control Using Enhanced Adaptive Particle Swarm Optimization Algorithm
To address the challenges of low precision, slow convergence, and poor anti-interference in traditional Particle Swarm Optimization (PSO) for Permanent Magnet Synchronous Motor (PMSM) speed control, a new Adaptive Hybrid Particle Swarm Optimization (AM-PSO) algorithm is proposed. This algorithm…
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Vine Copula Modelling of Extreme Temperature, Wind Speed, and Relative Humidity Towards Enhancement of Renewable Energy Production
The increasing global reliance on wind and solar energy underscores the critical vulnerability of renewable systems to extreme weather, which can severely disrupt power generation. Accurately modelling the complex, multivariate dependencies of weather extremes is essential for building grid…
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Hybrid ConvLSTM U-Net Deep Neural Network for Land Use and Land Cover Classification from Multi-Temporal Sentinel-2 Images: Application to Yaoundé, Cameroon
Accurate mapping of land use and land cover (LULC) is crucial for various applications such as urban planning, environmental management, and sustainable development, particularly in rapidly growing urban areas. African cities such as Yaoundé, Cameroon, are particularly affected by this rapid and…
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Gaining Understanding of Neural Networks with Programmatically Generated Data
The performance of convolutional neural networks (CNNs) depends not only on model architecture but also on the structure and quality of the training data. While most artificial network interpretability methods focus on explaining trained models, less attention has been given to understanding how…
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A Mathematical Framework for E-Commerce Sales Prediction Using Attention-Enhanced BiLSTM and Bayesian Optimization
Accurate sales prediction is crucial for inventory and marketing in e-commerce. Cross-border sales involve complex patterns that traditional models cannot capture. To address this, we propose an improved Bidirectional Long Short-Term Memory (BiLSTM) model, enhanced with an attention mechanism and…
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Study of Performance from Hierarchical Decision Modeling in IVAs Within a Greedy Context
This study examines decision-making in intelligent virtual agents (IVAs) and formalizes the distinction between tactical decisions (individual actions) and strategic decisions (composed of sequences of tactical actions) using a mathematical model based on set theory and the Bellman equation…
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