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Mathematics, Volume 11, Issue 20

2023 October-2 - 181 articles

Cover Story: The article is a natural continuation of the systematic research of the properties of the generalized concept of differentiability for functions with a domain \({X \subset \mathbb{R}^{n}}\) that is not necessarily open, at points that allow a neighbourhood ray in the domain. In the new context, the well-known Lagrange’s mean value theorem for scalar functions is stated and proved, even for the case when the differential is not unique at all points of the observed segment in the domain. Likewise, it has been proven that its variant is valid for vector functions as well. Additionally, the paper provides a proof of the generalization of the mean value theorem for continuous scalar functions continuously differentiable in the interior of a compact domain. View this paper
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Articles (181)

  • Article
  • Open Access
3 Citations
1,838 Views
30 Pages

23 October 2023

In this note, the hybrid method (combination of the homotopy perturbation method (HPM) and the Gauss elimination method (GEM)) is developed as a semi-analytical solution for the first kind system of Cauchy-type singular integral equations (CSIEs) wit...

(This article belongs to the Special Issue Convolution Equations: Theory, Numerical Methods and Applications)
  • Article
  • Open Access
6 Citations
1,804 Views
27 Pages

23 October 2023

We address weighted composition operators ψCϕ from α-Bloch spaces to Bers-type spaces of bounded holomorphic functions on Y, where Y is a generalized Hua domain of the first kind, and obtain some necessary and sufficient conditions for...

(This article belongs to the Special Issue Complex Analysis and Geometric Function Theory, 2nd Edition)
  • Article
  • Open Access
2 Citations
2,731 Views
22 Pages

23 October 2023

This paper develops the methodology for modeling decision processes in complex controlled dynamic systems. The idea of balancing such systems (driving them to equilibrium) is implemented, and a new mechanism for the equilibria’s stability is pr...

(This article belongs to the Special Issue Modeling and Simulation of Social-Behavioral Phenomena)
  • Article
  • Open Access
16 Citations
4,278 Views
19 Pages

23 October 2023

Quadrotor unmanned aerial vehicles (UAVs) have emerged as ubiquitous and agile robots and data carriers within the framework of the future Internet of Things (IoT) and mobile wireless networks. Yet, the insufficient onboard battery necessitates the o...

(This article belongs to the Special Issue Mathematical Modeling in Nonlinear Control and Robotics)
  • Article
  • Open Access
4 Citations
4,046 Views
13 Pages

23 October 2023

In this paper, we propose a novel network, self-attention generative adversarial network with blur and memory (BaMSGAN), for generating anime faces with improved clarity and faster convergence while retaining the capacity for continuous learning. Tra...

  • Article
  • Open Access
9 Citations
3,003 Views
35 Pages

23 October 2023

Using general fractional calculus (GFC) of the Luchko form and non-holonomic variational equations of Sedov type, generalizations of the standard action principle and first Noether theorem are proposed and proved for non-local (general fractional) no...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
2,386 Views
12 Pages

23 October 2023

This manuscript endeavors to establish a framework for the mapping of music onto a three-dimensional structure. Our objective is to transform the guitar choruses of Beatles songs into curves, with each chorus corresponding to its respective curve. We...

(This article belongs to the Special Issue Mathematics and Computation in Music)
  • Article
  • Open Access
1 Citations
3,702 Views
30 Pages

23 October 2023

This study aims to identify the model that best approximates the credit spread that should be fixed on debt instruments issued by both companies listed on the Mexican Stock Market, considering the particularities of the Mexican market. Five models we...

  • Article
  • Open Access
4 Citations
4,845 Views
12 Pages

Hidden Markov Model Based on Logistic Regression

  • Byeongheon Lee,
  • Joowon Park and
  • Yongku Kim

23 October 2023

A hidden Markov model (HMM) is a useful tool for modeling dependent heterogeneous phenomena. It can be used to find factors that affect real-world events, even when those factors cannot be directly observed. HMMs differ from traditional methods by us...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
1 Citations
3,164 Views
20 Pages

Risk Premium of Bitcoin and Ethereum during the COVID-19 and Non-COVID-19 Periods: A High-Frequency Approach

  • José Antonio Núñez-Mora,
  • Mario Iván Contreras-Valdez and
  • Roberto Joaquín Santillán-Salgado

23 October 2023

This paper reports our findings on the return dynamics of Bitcoin and Ethereum using high-frequency data (minute-by-minute observations) from 2015 to 2022 for Bitcoin and from 2016 to 2022 for Ethereum. The main objective of modeling these two series...

(This article belongs to the Special Issue Mathematical, Statistical, and Soft Computing Methods for Uncertainty Management)
  • Article
  • Open Access
1 Citations
2,201 Views
28 Pages

23 October 2023

Over the last decade, the Age of Information has emerged as a key concept and metric for applications where the freshness of sensor-provided data is critical. Limited transmission capacity has motivated research on the design of tractable policies fo...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
4 Citations
2,091 Views
17 Pages

Enhancing Autonomous Guided Vehicles with Red-Black TOR Iterative Method

  • A’Qilah Ahmad Dahalan,
  • Azali Saudi and
  • Jumat Sulaiman

23 October 2023

To address an autonomous guided vehicle problem, this article presents extended variants of the established block over-relaxation method known as the Block Modified Two-Parameter Over-relaxation (B-MTOR) method. The main challenge in handling autonom...

(This article belongs to the Special Issue Analysis and Mathematical Modeling of Control Engineering and Path Planning)
  • Article
  • Open Access
8 Citations
4,408 Views
19 Pages

23 October 2023

In recent years, the utilization of dual-arm robots has gained substantial prominence across various industries owing to their collaborative operational capabilities. In order to achieve collision avoidance and facilitate cooperative task completion,...

  • Article
  • Open Access
1,568 Views
17 Pages

23 October 2023

In this paper, by establishing a Bernstein inequality for m-asymptotically almost negatively associated random variables, some results on consistency for the nearest neighbor estimator of the density function are further established. The results gene...

  • Article
  • Open Access
9 Citations
2,518 Views
20 Pages

23 October 2023

An improved multi-objective particle swarm optimization algorithm is combined with a machine learning classifier to meet the needs of underwater manned/unmanned cooperative warfare architecture evaluation. Firstly, based on the traditional Cauchy var...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
3 Citations
3,222 Views
11 Pages

Decomposition Is All You Need: Single-Objective to Multi-Objective Optimization towards Artificial General Intelligence

  • Wendi Xu,
  • Xianpeng Wang,
  • Qingxin Guo,
  • Xiangman Song and ,
  • Ren Zhao,
  • Guodong Zhao,
  • Dakuo He,
  • Te Xu,
  • Ming Zhang and
  • Yang Yang
  • + 5 authors+ 0 author

23 October 2023

As a new abstract computational model in evolutionary transfer optimization (ETO), single-objective to multi-objective optimization (SMO) is conducted at the macroscopic level rather than the intermediate level for specific algorithms or the microsco...

(This article belongs to the Special Issue Operations and Supply Chain Management with the Application of Mathematical Models)
  • Article
  • Open Access
7 Citations
2,985 Views
28 Pages

22 October 2023

Type 1 diabetes, a chronic condition characterized by insulin deficiency, is associated with various complications and reduced life expectancy and is increasing in global prevalence. Maintaining glycaemic control in children with type 1 diabetes, as...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
18 Citations
6,036 Views
22 Pages

22 October 2023

Anonymity forms the basis of decentralized ecosystems, leading to an increase in criminal activities such as money laundering and illegal currency trading. Especially in blockchain-based metaverse services, activities such as preventing sexual crimes...

(This article belongs to the Special Issue Advances in Blockchain Technology)
  • Article
  • Open Access
1 Citations
2,587 Views
27 Pages

22 October 2023

Parametric continuous-time analysis often entails derivations of continuous-time models from predefined discrete formulations. However, undetermined convergence rates of frequency-dependent parameters can result in ill-defined continuous-time limits,...

(This article belongs to the Special Issue Financial Econometrics and Machine Learning)
  • Article
  • Open Access
4 Citations
1,645 Views
39 Pages

Effect of Impaired B-Cell and CTL Functions on HIV-1 Dynamics

  • Noura H. AlShamrani,
  • Reham H. Halawani and
  • Ahmed M. Elaiw

22 October 2023

This paper formulates and analyzes two mathematical models that describe the within-host dynamics of human immunodeficiency virus type 1 (HIV-1) with impairment of both cytotoxic T lymphocytes (CTLs) and B cells. Both viral transmission (VT) and cell...

(This article belongs to the Special Issue Mathematical Modeling and Analysis in Biology and Medicine, 2nd Edition)
  • Article
  • Open Access
4 Citations
2,869 Views
19 Pages

21 October 2023

The type-2 multi-objective integrated process planning and scheduling problem, as an NP-hard problem, is required to deal with both process planning and job shop scheduling, and to generate optimal schedules while planning optimal machining paths for...

(This article belongs to the Special Issue Data-Driven Algorithms for Optimal Decision Making in Logistics and Supply Chain Management)
  • Review
  • Open Access
5 Citations
2,839 Views
23 Pages

Stability of Differential Systems with Impulsive Effects

  • Chunxiang Li,
  • Fangshu Hui and
  • Fangfei Li

21 October 2023

In this paper, a brief survey on the stability of differential systems with impulsive effects is provided. A large number of research results on the stability of differential systems with impulsive effects are considered. These systems include impuls...

(This article belongs to the Special Issue Advances of Intelligent Systems)
  • Article
  • Open Access
8 Citations
4,129 Views
22 Pages

21 October 2023

In the fields of finance, insurance, system reliability, etc., it is often of interest to measure the dependence among variables by modeling a multivariate distribution using a copula. The copula models with parametric assumptions are easy to estimat...

(This article belongs to the Special Issue Nonparametric Statistical Methods and Their Applications)
  • Article
  • Open Access
4 Citations
2,689 Views
22 Pages

21 October 2023

Management consulting (MC) has been heavily involved in emerging business opportunities in mainland China. However, there are no well-known local MC project management models to help evaluate whether an MC project can be successful or not. This paper...

(This article belongs to the Special Issue Fuzzy Sets in Business Management, Finance, and Economics, 2nd Edition)
  • Article
  • Open Access
2 Citations
1,743 Views
15 Pages

Fourth-Order Neutral Differential Equation: A Modified Approach to Optimizing Monotonic Properties

  • Amany Nabih,
  • Osama Moaaz,
  • Sameh S. Askar,
  • Ahmad M. Alshamrani and
  • Elmetwally M. Elabbasy

21 October 2023

In this article, we investigate some qualitative properties of solutions to a class of functional differential equations with multi-delay. Using a modified approach, we first derive a number of optimized relations and inequalities that relate the sol...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
1 Citations
1,946 Views
26 Pages

21 October 2023

The paper is devoted to the formal description of the running time of the user task on some virtual nodes in the computing network. Based on the probability theory framework, this time represents a random value with a finite mean and variance. For an...

(This article belongs to the Special Issue Mathematical Modeling, Optimization and Machine Learning, 2nd Edition)
  • Article
  • Open Access
1 Citations
2,900 Views
38 Pages

21 October 2023

In the theory of portfolio selection, there are few methods that effectively address the combined challenge of insider information and model uncertainty, despite numerous methods proposed for each individually. This paper studies the problem of the r...

  • Article
  • Open Access
7 Citations
2,282 Views
16 Pages

On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation

  • Daniel Breaz,
  • Prathviraj Sharma,
  • Srikandan Sivasubramanian and
  • Sheza M. El-Deeb

21 October 2023

In the current article, we introduce a new class of bi-close-to-convex functions with bounded boundary rotation. For this new class, the authors obtain the first three initial coefficient bounds of the newly defined bi-close-to-convex functions with...

(This article belongs to the Special Issue Current Topics in Geometric Function Theory)
  • Article
  • Open Access
7 Citations
2,189 Views
10 Pages

21 October 2023

Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures. In this paper, we define new structures of this kind (called weak nearly Sasakian...

(This article belongs to the Special Issue Differentiable Manifolds and Geometric Structures)
  • Feature Paper
  • Article
  • Open Access
4,439 Views
21 Pages

21 October 2023

With the development of modern data collection techniques, researchers often encounter high-dimensional data across various research fields. An important problem is to determine whether several groups of these high-dimensional data originate from the...

(This article belongs to the Special Issue Advances of Functional and High-Dimensional Data Analysis)
  • Article
  • Open Access
2 Citations
2,018 Views
27 Pages

21 October 2023

Topic modelling has become a highly popular technique for extracting knowledge from texts. It encompasses various method families, including Factorial methods, Probabilistic methods, and Natural Language Processing methods. This paper introduces a un...

(This article belongs to the Special Issue Advances of Applied Probability and Statistics)
  • Article
  • Open Access
3 Citations
1,576 Views
19 Pages

21 October 2023

We investigate the stability of co-existence equilibria for two-species models of facultative mutualism for which birth and death are modeled as separate processes, with possibly distinct types of density dependence, and the mutualistic contributions...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
8 Citations
2,283 Views
16 Pages

21 October 2023

Based on the unwinding problem caused by the dual valued property of the quaternion description method, this paper designs an anti-unwinding sliding mode adaptive attitude tracking control with external disturbances and inertia matrix uncertainty. Th...

  • Article
  • Open Access
2 Citations
2,891 Views
25 Pages

MoMo: Mouse-Based Motion Planning for Optimized Grasping to Declutter Objects Using a Mobile Robotic Manipulator

  • Senthil Kumar Jagatheesaperumal,
  • Varun Prakash Rajamohan,
  • Abdul Khader Jilani Saudagar,
  • Abdullah AlTameem and ,
  • Muhammad Sajjad and
  • Khan Muhammad
  • + 1 author+ 0 author

21 October 2023

The aim of this study is to develop a cost-effective and efficient mobile robotic manipulator designed for decluttering objects in both domestic and industrial settings. To accomplish this objective, we implemented a deep learning approach utilizing...

(This article belongs to the Special Issue Recent Advances in Machine Learning Methods for Mechanical Engineering)
  • Article
  • Open Access
5 Citations
1,462 Views
18 Pages

20 October 2023

The purpose of this research is to examine the uniqueness and existence of the (ω,ρ)-BVP solution for a particular solution to a class of Hadamard fractional differential equations with impulsive boundary value requirements on Banach spaces...

(This article belongs to the Special Issue Fractional Calculus and Mathematical Applications, 2nd Edition)
  • Article
  • Open Access
6 Citations
1,928 Views
22 Pages

Simulation Cognitive Modeling Approach to the Regional Sustainable Complex System Development for Improving Quality of Life

  • Anna Firsova,
  • Galina Gorelova,
  • Elena L. Makarova,
  • Elena A. Makarova and
  • Galina Chernyshova

20 October 2023

This article presents study results of the region’s sustainable development possibility, thus improving the population’s life quality using cognitive simulation methods of complex systems. The main theoretical provisions of cognitive mode...

(This article belongs to the Special Issue Quantitative Analysis and DEA Modeling in Applied Economics, 2nd Edition)
  • Article
  • Open Access
22 Citations
2,421 Views
15 Pages

20 October 2023

Soft continuity can contribute to the development of digital images and computational topological applications other than the field of soft topology. In this work, we study a new class of generalized soft continuous functions defined on the class of...

(This article belongs to the Special Issue Advances and Applications of Soft Computing)
  • Article
  • Open Access
8 Citations
1,747 Views
13 Pages

20 October 2023

This paper proposes a prey–predator model affected by fear effects and toxic substances. We used the Lipschitz condition to prove the uniqueness of the model solution and Laplace transform to prove the boundedness of the model solution. We used...

  • Article
  • Open Access
16 Citations
2,524 Views
18 Pages

Locating Anchor Drilling Holes Based on Binocular Vision in Coal Mine Roadways

  • Mengyu Lei,
  • Xuhui Zhang,
  • Zheng Dong,
  • Jicheng Wan and ,
  • Chao Zhang and
  • Guangming Zhang
  • + 1 author+ 0 author

20 October 2023

The implementation of roof bolt support within a coal mine roadway has the capacity to bolster the stability of the encompassing rock strata and thereby mitigate the potential for accidents. To enhance the automation of support operations, this paper...

(This article belongs to the Special Issue Advances in Artificial Intelligence: Data, Methods and Interdisciplinary Applications)
  • Article
  • Open Access
1 Citations
2,505 Views
16 Pages

An Adaptive Mixup Hard Negative Sampling for Zero-Shot Entity Linking

  • Shisen Cai,
  • Xi Wu,
  • Maihemuti Maimaiti,
  • Yichang Chen and ,
  • Zhixiang Wang and
  • Jiong Zheng
  • + 1 author+ 0 author

20 October 2023

Recently, the focus of entity linking research has centered on the zero-shot scenario, where the entity purposed to be labeled at the time of testing was never observed during the training phase, or it may belong to a different domain than the source...

(This article belongs to the Special Issue New Machine Learning and Deep Learning Techniques in Natural Language Processing)
  • Article
  • Open Access
6 Citations
2,572 Views
25 Pages

20 October 2023

Segmentation of pneumonia on lung radiographs is vital for the precise diagnosis and monitoring of the disease. It enables healthcare professionals to locate and quantify the extent of infection, guide treatment decisions, and improve patient care. O...

  • Article
  • Open Access
4 Citations
1,449 Views
10 Pages

20 October 2023

This article delves into the spectral problem associated with a multiple differentiation operator that features an integral perturbation of boundary conditions of one specific type, namely, regular but not strengthened regular. The integral perturbat...

(This article belongs to the Special Issue Advances in Differential Analysis and Functional Analysis)
  • Article
  • Open Access
2 Citations
1,874 Views
12 Pages

20 October 2023

In this work, it is shown that the geometry of a gravity field generated by a spheroid with low eccentricity can be described with the help of a newly modified Helmholtz equation. To distinguish this equation from the modified Helmholtz equation, we...

(This article belongs to the Special Issue Applications of Partial Differential Equations in Mathematical Physics, 2nd Edition)
  • Article
  • Open Access
3 Citations
2,900 Views
17 Pages

A Population-Based Local Search Algorithm for the Identifying Code Problem

  • Alejandro Lara-Caballero and
  • Diego González-Moreno

20 October 2023

The identifying code problem for a given graph involves finding a minimum subset of vertices such that each vertex of the graph is uniquely specified by its nonempty neighborhood within the identifying code. The combinatorial optimization problem has...

(This article belongs to the Special Issue Bioinspired Intelligent Algorithms for Optimization, Modeling and Control: Theory and Applications, 2nd Edition)
  • Article
  • Open Access
5 Citations
1,890 Views
10 Pages

20 October 2023

In this article, we introduce novel fixed point results for Boyd–Wong-type contraction mappings within the framework of similarity spaces, which have broad practical applications. The development of these results extends the classical theory of...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
1 Citations
1,711 Views
9 Pages

20 October 2023

The role played by explicit formulas for solving boundary value problems for elliptic equations and systems is well known. In this paper, explicit formulas for a general solution of the Dirichlet problem for second-order elliptic systems in the unit...

(This article belongs to the Special Issue Fractional Calculus and Mathematical Applications, 2nd Edition)
  • Article
  • Open Access
2,049 Views
16 Pages

An Analytical Approach for Temporal Infection Mapping and Composite Index Development

  • Weiwei Wang,
  • Futian Weng,
  • Jianping Zhu,
  • Qiyuan Li and
  • Xiaolong Wu

20 October 2023

Significant and composite indices for infectious disease can have implications for developing interventions and public health. This paper presents an investment for developing access to further analysis of the incidence of individual and multiple dis...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
5 Citations
1,635 Views
19 Pages

20 October 2023

Evaluating the failure probability of a system is essential in order to assess its reliability. This probability may significantly depend on deterministic parameters such as distribution parameters or design parameters. The sensitivity of the failure...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1,755 Views
11 Pages

20 October 2023

In this paper, we propose a nuanced variation in the kernel words of the tribonacci sequence. Our primary objective is to investigate the intrinsic properties of the kernel words and associated gap sequences when the tribonacci sequence is expanded o...

(This article belongs to the Special Issue Combinatorial Algebra, Computation, and Logic, 2nd Edition)
  • Article
  • Open Access
2 Citations
3,302 Views
19 Pages

VaR Estimation with Quantum Computing Noise Correction Using Neural Networks

  • Luis de Pedro,
  • Raúl París Murillo,
  • Jorge E. López de Vergara,
  • Sergio López-Buedo and
  • Francisco J. Gómez-Arribas

20 October 2023

In this paper, we present the development of a quantum computing method for calculating the value at risk (VaR) for a portfolio of assets managed by a finance institution. We extend the conventional Monte Carlo algorithm to calculate the VaR of an ar...

(This article belongs to the Special Issue Quantum Computing for Industrial Applications)

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Mathematics - ISSN 2227-7390