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Mathematics, Volume 12, Issue 23

2024 December-1 - 241 articles

Cover Story: The lognormal moment sequence is considered. Using the fractional moments technique, it is first proved that the lognormal has the largest differential entropy among the infinite positively supported probability densities with the same lognormal-moments. Then, relying on previous theoretical results on entropy convergence obtained by the authors concerning the indeterminate Stieltjes moment problem, the lognormal distribution is accurately reconstructed by the maximum entropy technique using only its integer moment sequence, although it is not uniquely determined by moments. View this paper
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Articles (241)

  • Article
  • Open Access
1 Citations
2,393 Views
20 Pages

9 December 2024

Classic options can no longer meet the diversified needs of investors; thus, it is of great significance to construct and price new options for enriching the financial market. This paper proposes a new option pricing model that integrates the logarit...

  • Article
  • Open Access
13 Citations
5,922 Views
18 Pages

Geophysical Frequency Domain Electromagnetic Field Simulation Using Physics-Informed Neural Network

  • Bochen Wang,
  • Zhenwei Guo,
  • Jianxin Liu,
  • Yanyi Wang and
  • Fansheng Xiong

9 December 2024

Simulating electromagnetic (EM) fields can obtain the EM responses of geoelectric models at different times and spaces, which helps to explain the dynamic process of EM wave propagation underground. EM forward modeling is regarded as the engine of in...

  • Article
  • Open Access
1,716 Views
32 Pages

9 December 2024

As a key task in machine learning, data classification is essential to find a suitable coordinate system to represent the data features of different classes of samples. This paper proposes the mutual-energy inner product optimization method for const...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
4 Citations
2,105 Views
13 Pages

Zagreb Root-Indices of Graphs with Chemical Applications

  • Niko Tratnik and
  • Petra Žigert Pleteršek

9 December 2024

Root-indices of graphs are mathematical tools that help us to understand complex systems, like molecules and networks, by capturing key structural information. In this study, we introduce two new root-indices, the first and the second Zagreb root-ind...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
2 Citations
1,818 Views
16 Pages

9 December 2024

Efficient estimation methods for simultaneous autoregressive (SAR) models with missing data in the response variable have been well explored in the literature. A common practice is introducing measurement error into SAR models to separate the noise c...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
5 Citations
1,574 Views
14 Pages

9 December 2024

Research about multiple positive solutions for fractional differential equations is very important. Based on some outstanding results reported in this field, this paper continue the focus on this topic. By using the properties of the Green function a...

(This article belongs to the Special Issue Recent Research on Fractional Calculus: Theory and Applications)
  • Article
  • Open Access
1 Citations
1,456 Views
12 Pages

9 December 2024

Divisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek’s basic logic with an important significance in the study of fuzzy logic. The purpose of this paper is to investigate commutative ring...

  • Article
  • Open Access
4 Citations
2,058 Views
11 Pages

9 December 2024

Using upper record value data, we provide a credible interval estimate for the scale parameter of a two-parameter exponential distribution based on Bayesian methods. Additionally, we propose two Bayesian credible confidence regions for both parameter...

(This article belongs to the Special Issue Bayesian Statistics and Causal Inference)
  • Article
  • Open Access
2 Citations
2,621 Views
25 Pages

A Gaussian Process-Enhanced Non-Linear Function and Bayesian Convolution–Bayesian Long Term Short Memory Based Ultra-Wideband Range Error Mitigation Method for Line of Sight and Non-Line of Sight Scenarios

  • A. S. M. Sharifuzzaman Sagar,
  • Samsil Arefin,
  • Eesun Moon,
  • Md Masud Pervez Prince and ,
  • L. Minh Dang,
  • Amir Haider and
  • Hyung Seok Kim
  • + 2 authors+ 0 author

9 December 2024

Relative positioning accuracy between two devices is dependent on the precise range measurements. Ultra-wideband (UWB) technology is one of the popular and widely used technologies to achieve centimeter-level accuracy in range measurement. Neverthele...

(This article belongs to the Special Issue Modeling and Simulation in Engineering, 3rd Edition)
  • Article
  • Open Access
1 Citations
2,791 Views
19 Pages

9 December 2024

Crime report clustering plays a critical role in modern law enforcement, enabling the identification of patterns and trends essential for proactive policing. However, traditional clustering approaches face significant challenges with the complex, uns...

(This article belongs to the Special Issue Advances in Graph Theory: Algorithms and Applications)
  • Article
  • Open Access
9 Citations
5,949 Views
23 Pages

Bubble Detection in Multiphase Flows Through Computer Vision and Deep Learning for Applied Modeling

  • Irina Nizovtseva,
  • Pavel Mikushin,
  • Ilya Starodumov,
  • Ksenia Makhaeva and ,
  • Simon Kraev and
  • Dmitrii Chernushkin
  • + 1 author+ 0 author

9 December 2024

An innovative method for bubble detection and characterization in multiphase flows using advanced computer vision and neural network algorithms is introduced. Building on the research group’s previous findings, this study combines high-speed vi...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1,687 Views
18 Pages

Analytical Investigation of Time-Dependent Two-Dimensional Non-Newtonian Boundary Layer Equations

  • Imre Ferenc Barna,
  • Laszló Mátyás,
  • Krisztián Hriczó and
  • Gabriella Bognár

9 December 2024

In this study, five different time-dependent incompressible non-Newtonian boundary layer models in two dimensions are investigated with the self-similar Ansatz, including external magnetic field effects. The power-law, the Casson fluid, the Oldroyd-B...

(This article belongs to the Special Issue Mathematical Modelling, Analysis, and Optimization for Engineering and Mechanics)
  • Article
  • Open Access
12 Citations
1,831 Views
18 Pages

A Study of the q-Truncated Exponential–Appell Polynomials

  • Francesco Aldo Costabile,
  • Subuhi Khan and
  • Hassan Ali

8 December 2024

This article introduces the 2-variable q-truncated exponential–Appell (q-trunc. exp. Appell) polynomials and investigates their fundamental properties. Specific results are derived for the q-trunc. exp. Appell family along with their graphical...

(This article belongs to the Special Issue Polynomial Sequences and Their Applications, 2nd Edition)
  • Article
  • Open Access
4 Citations
1,604 Views
14 Pages

About Calculus Through the Transfer Matrix Method of a Beam with Intermediate Support with Applications in Dental Restorations

  • Otilia Cojocariu-Oltean,
  • Mihai-Sorin Tripa,
  • Iulia Bărăian,
  • Doina-Iulia Rotaru and
  • Mihaela Suciu

8 December 2024

This work presents an original and very interesting approach to a calculus problem involving beams with intermediate supports through the transfer-matrix method, a very easy method to program to quickly obtain good results. To exemplify the applicabi...

(This article belongs to the Special Issue Control Theory and Applications, 2nd Edition)
  • Article
  • Open Access
31 Citations
16,351 Views
24 Pages

Scalability and Security in Blockchain Networks: Evaluation of Sharding Algorithms and Prospects for Decentralized Data Storage

  • Andrey L. Bulgakov,
  • Anna V. Aleshina,
  • Sergey D. Smirnov,
  • Alexey D. Demidov and ,
  • Maxim A. Milyutin and
  • Yanliang Xin
  • + 1 author+ 0 author

8 December 2024

This article addresses the issues of scalability and security in blockchain networks, with a focus on sharding algorithms and decentralized data storage. Key challenges include the low throughput and high transaction latency in public networks such a...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
7 Citations
4,104 Views
22 Pages

Investigating Autonomous Vehicle Driving Strategies in Highway Ramp Merging Zones

  • Zhimian Chen,
  • Yizeng Wang,
  • Hao Hu,
  • Zhipeng Zhang and ,
  • Chengwei Zhang and
  • Shukun Zhou
  • + 1 author+ 0 author

8 December 2024

The rapid development of autonomous driving technology is widely regarded as a potential solution to current traffic congestion challenges and the future evolution of intelligent vehicles. Effective driving strategies for autonomous vehicles should b...

(This article belongs to the Special Issue Advances in Perception, Control and Optimization Methods in Intelligent Transportation Systems)
  • Article
  • Open Access
4 Citations
1,601 Views
9 Pages

7 December 2024

The Troesch problem is a well-known and important problem; the ability to solve it is important due to the practical applications of this problem. In this paper, we propose a method to solve this problem using a combination of two useful algorithms:...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1 Citations
1,529 Views
23 Pages

7 December 2024

In multi-attribute decision making (MADM), complex situations often arise where decision attributes are interval-valued hesitant fuzzy numbers (IVHFNs) and the attributes are interrelated. Traditional decision-making methods may be ineffective in han...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
2 Citations
1,311 Views
16 Pages

7 December 2024

FTN signalling is an effective communication method that achieves a high spectral efficiency. However, employing a symbol rate faster than the Nyquist rate disrupts the orthogonality between symbols, leading to unavoidable inter-symbol interference (...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
20 Citations
6,011 Views
38 Pages

A Hybrid Deep Learning Approach for Enhanced Sentiment Classification and Consistency Analysis in Customer Reviews

  • Shaymaa E. Sorour,
  • Abdulrahman Alojail,
  • Amr El-Shora,
  • Ahmed E. Amin and
  • Amr A. Abohany

7 December 2024

Consumer reviews play a pivotal role in shaping purchasing decisions and influencing the reputation of businesses in today’s digital economy. This paper presents a novel hybrid deep learning model, WDE-CNN-LSTM, designed to enhance the sentimen...

(This article belongs to the Special Issue Artificial Intelligence and Scientific Computing: Mathematical Techniques and Applications)
  • Article
  • Open Access
1,125 Views
13 Pages

7 December 2024

This paper solves a nonhomogeneous version of the pantograph equation. The nonhomogeneous term is taken as a polynomial of degree n with arbitrary coefficients. The nonhomogeneous pantograph equation is successfully converted to the standard homogene...

  • Article
  • Open Access
4 Citations
4,943 Views
18 Pages

A Mathematical Model to Study Defensive Metrics in Football: Individual, Collective and Game Pressures

  • Jose M. Calabuig,
  • César Catalán,
  • Luis M. García-Raffi and
  • Enrique A. Sánchez-Pérez

7 December 2024

Performance analysis, utilizing video technology and recent technological advancements in soccer stadiums, provides a wealth of data, including player trajectories and real-time game statistics, which are crucial for tactical evaluation and decision-...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Review
  • Open Access
29 Citations
7,767 Views
26 Pages

Survey of Quantum Generative Adversarial Networks (QGAN) to Generate Images

  • Mohammadsaleh Pajuhanfard,
  • Rasoul Kiani and
  • Victor S. Sheng

6 December 2024

Quantum Generative Adversarial Networks (QGANs) represent a useful development in quantum machine learning, using the particular properties of quantum mechanics to solve the challenges of data analysis and modeling. This paper brings up a general ana...

  • Article
  • Open Access
3,520 Views
20 Pages

6 December 2024

Reverse factoring is a retailer-led supply chain financing system that can enhance liquidity of suppliers and reduce factoring fraud. This paper proposes a bargaining game theory model to analyze the profit distribution in reverse factoring for a two...

(This article belongs to the Special Issue Applied Mathematics in Supply Chain and Logistics)
  • Article
  • Open Access
2 Citations
1,423 Views
17 Pages

6 December 2024

In this paper, the authors approach the problem of boundary condition synthesis (also defined as field continuation) in a doubly connected domain by the use of a Neural Network-based approach. In this innovative method, given a field problem (magneto...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
7 Citations
2,555 Views
23 Pages

Semi-Implicit Numerical Integration of Boundary Value Problems

  • Maksim Galchenko,
  • Petr Fedoseev,
  • Valery Andreev,
  • Endre Kovács and
  • Denis Butusov

6 December 2024

The numerical solution to boundary differential problems is a crucial task in modern applied mathematics. Usually, implicit integration methods are applied to solve this class of problems due to their high numerical stability and convergence. The kno...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
2 Citations
2,186 Views
34 Pages

Scatter Search for Optimal Sizing of a Hybrid Renewable Energy System for Scheduling Green Hydrogen Production

  • Andrés Cacereño,
  • Begoña González Landín,
  • Antonio Pulido,
  • Gabriel Winter and
  • José Andrés Moreno

6 December 2024

At present, energy demands are mainly covered by the use of fossil fuels. The process of fossil fuel production increases pollution from oil extraction, transport to processing centers, treatment to obtain lighter fractions, and delivery and use by t...

(This article belongs to the Special Issue Mathematical Models and Methods of Scheduling Theory)
  • Article
  • Open Access
4 Citations
3,250 Views
27 Pages

6 December 2024

Simulating composite material structures requires complex constitutive models, which normally require fine meshes to obtain an accurate prediction of their behavior. Pam-Crash software has been used for several years in the automotive industry and ha...

(This article belongs to the Special Issue Advanced Computational Mechanics)
  • Article
  • Open Access
1,504 Views
16 Pages

First Eigenvalues of Some Operators Under the Backward Ricci Flow on Bianchi Classes

  • Shahroud Azami,
  • Rawan Bossly,
  • Abdul Haseeb and
  • Abimbola Abolarinwa

6 December 2024

Let λ(t) be the first eigenvalue of the operator −∆+aRb on locally three-dimensional homogeneous manifolds along the backward Ricci flow, where a,b are real constants and R is the scalar curvature. In this paper, we study the prope...

(This article belongs to the Special Issue Differential Geometry, Geometric Analysis and Their Related Applications)
  • Article
  • Open Access
6 Citations
3,170 Views
24 Pages

Optimizing Multi-Echelon Delivery Routes for Perishable Goods with Time Constraints

  • Manqiong Sun,
  • Yang Xu,
  • Feng Xiao,
  • Hao Ji and ,
  • Bing Su and
  • Fei Bu
  • + 1 author+ 0 author

5 December 2024

As the logistics industry modernizes, living standards improve, and consumption patterns shift, the demand for fresh food continues to grow, making cold chain logistics for perishable goods a critical component in ensuring food quality and safety. Ho...

(This article belongs to the Special Issue Planning and Scheduling in City Logistics Optimization)
  • Article
  • Open Access
3 Citations
1,551 Views
16 Pages

Classification of Fungal Pigments by Simulating Their Optical Properties Using Evolutionary Optimization

  • Roman Y. Pishchalnikov,
  • Denis D. Chesalin,
  • Vasiliy A. Kurkov,
  • Andrei P. Razjivin and ,
  • Sergey V. Gudkov,
  • Andrey A. Grishin,
  • Alexey S. Dorokhov and
  • Andrey Yu. Izmailov
  • + 3 authors+ 0 author

5 December 2024

Modern developments in data analysis techniques and evolutionary optimization algorithms have made it possible to analyze large amounts of unstructured digital data sets. Based on the differential evolution algorithm and semiclassical quantum simulat...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
5 Citations
3,645 Views
21 Pages

5 December 2024

Transport mode is one of the important travel characteristics for citizens, which is crucial to the planning and management of urban transportation. With the natural advantages of large sample sizes and a wide coverage of people, more and more resear...

(This article belongs to the Special Issue Application of Mathematical Methods to Transportation: Modeling and Analysis)
  • Article
  • Open Access
2 Citations
1,565 Views
22 Pages

5 December 2024

In the context of discrete event systems (DESs), critical states usually refer to a system configuration of interest, describing certain important system properties, e.g., fault diagnosability, state/language opacity, and state/event concealment. Tec...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1,726 Views
13 Pages

5 December 2024

Platooning technology, which reduces fuel consumption by decreasing aerodynamic drag, is emerging as a key solution for enhancing road efficiency and environmental sustainability in logistics. Conventional vehicle-to-vehicle communication has limitat...

(This article belongs to the Special Issue Operations Research and Optimization: Mathematical Methods and Applications)
  • Article
  • Open Access
4 Citations
4,220 Views
22 Pages

5 December 2024

The purpose of this study was to ensure the compliance and safety of a robot’s movements during interactions with the external environment. This paper proposes a control strategy for learning variable impedance characteristics from multiple set...

  • Feature Paper
  • Article
  • Open Access
3 Citations
1,369 Views
24 Pages

4 December 2024

The present study dealt with a comprehensive mathematical model to explore the nonlinear forced vibration of a magnetostrictive laminated beam. This system was subjected to mechanical impact, a nonlinear Winkler–Pasternak foundation, and an ele...

(This article belongs to the Special Issue Analytical Approaches to Nonlinear Dynamical Systems and Applications, 3rd Edition)
  • Article
  • Open Access
1 Citations
1,461 Views
22 Pages

4 December 2024

In this paper, we deal with the properties and applications of a nonlinear scalarization function for sets by using the Minkowski difference. Under some suitable assumptions, the continuity and convexity concerned with the nonlinear scalarization fun...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications II)
  • Article
  • Open Access
4 Citations
1,894 Views
28 Pages

4 December 2024

Improving product quality is an effective way for a company to gain goodwill as well as to increase sales. In this paper, the focus is on a two-echelon supply chain consisting of a manufacturer and a retailer. Considering the delayed effect of qualit...

  • Article
  • Open Access
1,687 Views
20 Pages

4 December 2024

High-dimensional parameter testing is commonly used in bioinformatics to analyze complex relationships in gene expression and brain connectivity studies, involving parameters like means, covariances, and correlations. In this paper, we present a nove...

(This article belongs to the Special Issue Computational Statistics and Data Analysis, 2nd Edition)
  • Article
  • Open Access
1 Citations
2,293 Views
12 Pages

4 December 2024

Thanks to advancements in automated driving technology, autonomous trucks (ATs) can form platoons with minimal inter-vehicle distances on highways, significantly reducing air drag and fuel consumption for fleets. Given the dispersed distribution and...

  • Article
  • Open Access
2 Citations
1,729 Views
28 Pages

4 December 2024

Consumers’ low-carbon preferences will affect the decision-making behavior of supply chain members; an understanding of the influence mechanism of reciprocal altruistic preferences and reference low-carbon-level effect on carbon emission transf...

  • Article
  • Open Access
11 Citations
3,683 Views
14 Pages

4 December 2024

Efficient and economical hydrocarbon extraction relies on a clear understanding of fluid flow dynamics in subsurface reservoirs, where multiphase flow in porous media poses complex modeling challenges. Traditional numerical methods for solving the go...

  • Article
  • Open Access
8 Citations
2,044 Views
18 Pages

4 December 2024

Surrounding rock squeezing is a common geological disaster in underground excavation projects (e.g., TBM tunneling and deep mining), which has adverse effects on construction safety, schedule, and property. To predict the squeezing of the surrounding...

(This article belongs to the Special Issue Mathematical Modeling and Analysis in Mining Engineering)
  • Article
  • Open Access
8 Citations
3,704 Views
28 Pages

4 December 2024

To address the challenges of environmental impact and distribution efficiency in fresh food logistics, a segmented transshipment model involving the coordinated operation of gasoline and electric vehicles is proposed. The model minimizes total distri...

(This article belongs to the Special Issue Advanced Applications of Mathematical Modeling and Optimization in Logistics and Manufacturing)
  • Article
  • Open Access
5 Citations
2,360 Views
11 Pages

4 December 2024

The lognormal moment sequence is considered. Using the fractional moments technique, it is first proved that the lognormal has the largest differential entropy among the infinite positively supported probability densities with the same lognormal-mome...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
1,580 Views
8 Pages

Infinite Dimensional Maximal Torus Revisited

  • Mohamed Lemine H. Bouleryah,
  • Akram Ali and
  • Piscoran Laurian-Ioan

4 December 2024

Let Tm be the maximal torus of a set of m×m unitary diagonal matrices. Let T be a collection of all maps that rigidly rotate every circle of latitude of the sphere with a fixed angle. T is also a maximal torus, and we shall prove in this paper...

(This article belongs to the Special Issue Differentiable Manifolds and Geometric Structures)
  • Article
  • Open Access
8 Citations
3,638 Views
14 Pages

4 December 2024

The primary objective of our research is to enhance the efficiency and effectiveness of Neural Architecture Search (NAS) with regard to Graph Neural Networks (GNNs). GNNs have emerged as powerful tools for learning from unstructured network data, com...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
6 Citations
3,034 Views
21 Pages

3 December 2024

Indoor point clouds often present significant challenges due to the complexity and variety of structures and high object similarity. The local geometric structure helps the model learn the shape features of objects at the detail level, while the glob...

(This article belongs to the Special Issue Machine Learning Methods and Mathematical Modeling with Applications)
  • Article
  • Open Access
2 Citations
2,156 Views
26 Pages

Variable Dose-Constraints Method for Enhancing Intensity-Modulated Radiation Therapy Treatment Planning

  • Norihisa Obata,
  • Omar M. Abou Al-Ola,
  • Ryosei Nakada,
  • Takeshi Kojima and
  • Tetsuya Yoshinaga

3 December 2024

The conventional approach to intensity-modulated radiation therapy treatment planning involves two distinct strategies: optimizing an evaluation function while accounting for dose constraints, and solving feasibility problems using feasibility-seekin...

  • Article
  • Open Access
1 Citations
1,224 Views
15 Pages

Bounded Rational Players in a Symmetric Random Exchange Market

  • Aliyu Yusuf,
  • Bruno Oliveira,
  • Alberto Pinto and
  • Athanasios N. Yannacopoulos

3 December 2024

A model of Edgeworthian economies is studied, in which participants are randomly chosen at each period to exchange two goods to increase their utilities, as described by the Cobb–Douglas utility function. Participants can trade deviating from t...

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Mathematics - ISSN 2227-7390