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Mathematics, Volume 10, Issue 23

2022 December-1 - 235 articles

Cover Story: The most recent literature contains two theories: one on the construction of probability measures from fractal structures and another one on cumulative distribution functions on separable linearly ordered topological spaces. Indeed, it is possible to construct a probability measure from a pre-measure defined on a fractal structure on a space, but in order to define a cumulative distribution function, a compatible order is needed. In this paper, it is shown how to define such order and the relationship between the pre-measure and the cumulative distribution function with respect to that order. Hence, we can use both theories interchangeably in both topological contexts: when working with a fractal structure and the topological structures induced by it, and when considering a separable linearly ordered topological space. View this paper
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Articles (235)

  • Article
  • Open Access
4 Citations
3,018 Views
11 Pages

Implementation of the Hindmarsh–Rose Model Using Stochastic Computing

  • Oscar Camps,
  • Stavros G. Stavrinides,
  • Carol de Benito and
  • Rodrigo Picos

6 December 2022

The Hindmarsh–Rose model is one of the most used models to reproduce spiking behaviour in biological neurons. However, since it is defined as a system of three coupled differential equations, its implementation can be burdensome and impractical...

  • Article
  • Open Access
45 Citations
2,807 Views
22 Pages

An Innovative Hunter-Prey-Based Optimization for Electrically Based Single-, Double-, and Triple-Diode Models of Solar Photovoltaic Systems

  • Mostafa Elshahed,
  • Ali M. El-Rifaie,
  • Mohamed A. Tolba,
  • Ahmed Ginidi,
  • Abdullah Shaheen and
  • Shazly A. Mohamed

6 December 2022

The derivation of PV model parameters is crucial for the optimization, control, and simulation of PV systems. Although many parameter extraction algorithms have been developed to address this issue, they might have some limitations. This work present...

  • Article
  • Open Access
1 Citations
2,706 Views
9 Pages

On Grill Sβ-Open Set in Grill Topological Spaces

  • Nagarajan Kalaivani,
  • Khaleel Fayaz Ur Rahman,
  • Lenka Čepová and
  • Robert Čep

6 December 2022

In this article we originate a new class of Grill Set, namely GSβ-Open Set, which is parallel to the β Open Set in Grill Topological Space (X, θ, G). In addition, we entitle GSβ-continuous and GSβ-open functions by...

  • Article
  • Open Access
2 Citations
3,967 Views
17 Pages

6 December 2022

In view of a complex multi-factor interaction relationship and high uncertainty of a battlefield environment in the anti-missile troop deployment, this paper analyzes the relationships between the defending stronghold, weapon system, incoming target,...

  • Article
  • Open Access
5 Citations
1,879 Views
33 Pages

6 December 2022

The Asymmetric Simple Inclusion Process (ASIP) is an n-site tandem stochastic network with a Poisson arrival influx into the first site. Each site has an unlimited buffer with a gate in front of it. Each gate opens, independently of all other gates,...

  • Article
  • Open Access
6 Citations
3,398 Views
18 Pages

Performance of a Vector-Controlled PMSM Drive without Using Current Sensors

  • Sai Shiva Badini,
  • Vimlesh Verma,
  • Mohd Tariq,
  • Shabana Urooj and
  • Lucian Mihet-Popa

6 December 2022

The current sensorless vector-controlled permanent-magnet synchronous motor (PMSM) drive using a single sensor (i.e., speed sensor) is presented in this work. The current sensors are removed, and the estimated currents are used to close the current l...

  • Article
  • Open Access
3 Citations
2,030 Views
14 Pages

6 December 2022

This paper deals with optimal consensus problems of a general heterogeneous nonlinear multi-agent system. A novel filter is proposed for each agent by integrating local gradients with neighboring output information. Using this filter and introducing...

  • Article
  • Open Access
3 Citations
2,354 Views
23 Pages

6 December 2022

In this paper, we consider the optimal reinsurance problem for a risk model with a thinning-dependence structure, where the stochastic sources related to claim occurrence are classified into different groups, and each group may cause a claim in each...

  • Article
  • Open Access
2 Citations
2,024 Views
11 Pages

6 December 2022

Parameterization is the key property of a parametric surface and significantly affects many kinds of applications. To improve the quality of parameterization, equiareal parameterization minimizes the equiareal energy, which is presented as a measure...

  • Article
  • Open Access
32 Citations
9,212 Views
14 Pages

6 December 2022

The study focuses on teaching students using educational robots in the field of STEM. The study focused on the influence of project-based teaching on the development of student competences, especially problem-solving competences. The research part of...

  • Article
  • Open Access
3 Citations
1,876 Views
18 Pages

6 December 2022

Descriptions are given of the Langevin and diffusion equation of passively marked fluid particles in turbulent flow with spatially varying and anisotropic statistical properties. The descriptions consist of the first two terms of an expansion in powe...

  • Article
  • Open Access
14 Citations
2,969 Views
32 Pages

Photovoltaic Models’ Parameter Extraction Using New Artificial Parameterless Optimization Algorithm

  • Mohana Alanazi,
  • Abdulaziz Alanazi,
  • Ahmad Almadhor and
  • Hafiz Tayyab Rauf

6 December 2022

Identifying parameters in photovoltaic (PV) cell and module models is one of the primary challenges of the simulation and design of photovoltaic systems. Metaheuristic algorithms can find near-optimal solutions within a reasonable time for such chall...

  • Article
  • Open Access
1 Citations
2,167 Views
18 Pages

6 December 2022

Video monitoring has a wide range of applications in a variety of scenarios, especially in smart parks. How to improve the efficiency of video data processing and reduce resource consumption have become of increasing concern. The high complexity of t...

  • Article
  • Open Access
14 Citations
2,949 Views
16 Pages

5 December 2022

Modern engineering systems are designed and utilized to realize complicated functions, and their operation mechanisms are becoming more complex. Nevertheless, prior related research mainly focused on the reliability evaluations of the systems with a...

  • Article
  • Open Access
2 Citations
1,781 Views
16 Pages

Evolution for First Eigenvalue of LT,f on an Evolving Riemannian Manifold

  • Apurba Saha,
  • Shahroud Azami,
  • Daniel Breaz,
  • Eleonora Rapeanu and
  • Shyamal Kumar Hui

5 December 2022

In this paper, evolution formulas for the first non-zero eigenvalue of the operator LT,f on a weighted closed Riemannian manifold along the Ricci flow as well as along the Yamabe flow are formulated. Some monotonic quantities are also derived for the...

  • Article
  • Open Access
5 Citations
2,459 Views
22 Pages

5 December 2022

Plagiarism is an act of intellectual high treason that damages the whole scholarly endeavor. Many attempts have been undertaken in recent years to identify text document plagiarism. The effectiveness of researchers’ suggested strategies to iden...

  • Article
  • Open Access
3,710 Views
18 Pages

5 December 2022

Cavum septum pellucidum (CSP) is one of the most important physiologic structures that should be detected in Ultrasound (US) scanning for the normal development of the fetal central nervous system. However, manual measurement of CSP is still a diffic...

  • Article
  • Open Access
8 Citations
4,732 Views
24 Pages

5 December 2022

Due to the COVID-19 pandemic, the necessity for a contactless biometric system able to recognize masked faces drew attention to the periocular region as a valuable biometric trait. However, periocular recognition remains challenging for deployments i...

  • Article
  • Open Access
16 Citations
2,804 Views
19 Pages

Deep Learning Activation Layer-Based Wall Quality Recognition Using Conv2D ResNet Exponential Transfer Learning Model

  • Bubryur Kim,
  • Yuvaraj Natarajan,
  • Shyamala Devi Munisamy,
  • Aruna Rajendran,
  • K. R. Sri Preethaa,
  • Dong-Eun Lee and
  • Gitanjali Wadhwa

5 December 2022

Crack detection is essential for observing structural health and guaranteeing structural safety. The manual crack and other damage detection process is time-consuming and subject to surveyors’ biased judgments. The proposed Conv2D ResNet Expone...

  • Article
  • Open Access
6 Citations
2,875 Views
16 Pages

Cryptanalysis of Two Recent Ultra-Lightweight Authentication Protocols

  • Mohammad Reza Servati,
  • Masoumeh Safkhani,
  • Saqib Ali,
  • Mazhar Hussain Malik,
  • Omed Hassan Ahmed,
  • Mehdi Hosseinzadeh and
  • Amir H. Mosavi

5 December 2022

Radio Frequency Identification (RFID) technology is a critical part of many Internet of Things (IoT) systems, including Medical IoT (MIoT) for instance. On the other hand, the IoT devices’ numerous limitations (such as memory space, computing c...

  • Article
  • Open Access
24 Citations
5,201 Views
16 Pages

TwoViewDensityNet: Two-View Mammographic Breast Density Classification Based on Deep Convolutional Neural Network

  • Mariam Busaleh,
  • Muhammad Hussain,
  • Hatim A. Aboalsamh,
  • Fazal-e-Amin and
  • Sarah A. Al Sultan

5 December 2022

Dense breast tissue is a significant factor that increases the risk of breast cancer. Current mammographic density classification approaches are unable to provide enough classification accuracy. However, it remains a difficult problem to classify bre...

  • Article
  • Open Access
1,804 Views
12 Pages

Random Motions at Finite Velocity on Non-Euclidean Spaces

  • Francesco Cybo Ottone and
  • Enzo Orsingher

5 December 2022

In this paper, random motions at finite velocity on the Poincaré half-plane and on the unit-radius sphere are studied. The moving particle at each Poisson event chooses a uniformly distributed direction independent of the previous evolution. T...

  • Article
  • Open Access
7 Citations
3,468 Views
30 Pages

Data-Mining-Based Real-Time Optimization of the Job Shop Scheduling Problem

  • Anran Zhao,
  • Peng Liu,
  • Xiyu Gao,
  • Guotai Huang,
  • Xiuguang Yang,
  • Yuan Ma,
  • Zheyu Xie and
  • Yunfeng Li

5 December 2022

In the job-shop scheduling field, timely and proper updating of the original scheduling strategy is an effective way to avoid the negative impact of disturbances on manufacturing. In this paper, a pure reactive scheduling method for updating the sche...

  • Article
  • Open Access
8 Citations
2,928 Views
28 Pages

An Effective 4–Phased Framework for Scheduling Job-Shop Manufacturing Systems Using Weighted NSGA-II

  • Aidin Delgoshaei,
  • Mohd Khairol Anuar Bin Mohd Ariffin and
  • Zulkiflle B. Leman

5 December 2022

Improving the performance of manufacturing systems is a vital issue in today’s rival market. For this purpose, during the last decade, scientists have considered more than one objective function while scheduling a production line. This paper de...

  • Article
  • Open Access
1 Citations
2,612 Views
21 Pages

5 December 2022

Since the famous slow–fast dynamical system referred to as the Hodgkin–Huxley model was proposed to describe the threshold behaviors of neuronal axons, the study of various slow–fast dynamical behaviors and their generation mechanis...

  • Article
  • Open Access
3 Citations
2,025 Views
18 Pages

Methodology of Plasma Shape Reachability Area Estimation in D-Shaped Tokamaks

  • Yuri V. Mitrishkin,
  • Valerii I. Kruzhkov and
  • Pavel S. Korenev

5 December 2022

This paper suggests and develops a new methodology of estimation for a multivariable reachability region of a plasma separatrix shape on the divertor phase of a plasma discharge in D-shaped tokamaks. The methodology is applied to a spherical Globus-M...

  • Article
  • Open Access
3 Citations
2,582 Views
17 Pages

Manifold Regularized Principal Component Analysis Method Using L2,p-Norm

  • Minghua Wan,
  • Xichen Wang,
  • Hai Tan and
  • Guowei Yang

5 December 2022

The main idea of principal component analysis (PCA) is to transform the problem of high-dimensional space into low-dimensional space, and obtain the output sample set after a series of operations on the samples. However, the accuracy of the tradition...

  • Article
  • Open Access
5 Citations
5,989 Views
22 Pages

5 December 2022

Palm oil prices, similar to other edible oils and commodity prices, are highly sensitive to external shocks which have become particularly prominent in the wake of COVID-19 pandemic. The non-stationary nature of the palm oil price complicates the mod...

  • Article
  • Open Access
1 Citations
1,877 Views
11 Pages

Validation of Parallel Distributed Adaptive Signal Processing (PDASP) Framework through Processing-Inefficient Low-Cost Platforms

  • Hasan Raza,
  • Ishtiaq Ahmad,
  • Noor M. Khan,
  • Waseem Abbasi,
  • Muhammad Shahid Anwar,
  • Sadique Ahmad and
  • Mohammed A. El-Affendi

5 December 2022

The computational complexity of the multiple-input and multiple-output (MIMO) based least square algorithm is very high and it cannot be run on processing-inefficient low-cost platforms. To overcome complexity-related problems, a parallel distributed...

  • Article
  • Open Access
13 Citations
3,139 Views
26 Pages

5 December 2022

This study investigates the solution of an ocean waste plastic management system model. The model is represented by a nonlinear system which is divided into three compartments: the waste plastic materials W(τ), marine debris M(τ), and the pro...

  • Article
  • Open Access
1 Citations
2,001 Views
18 Pages

The Gao-Type Constant of Absolute Normalized Norms on ℝ2

  • Zhanfei Zuo,
  • Yimin Huang,
  • Huaping Huang and
  • Jing Wang

4 December 2022

In this paper, we present an extraordinary method to calculate the Gao-type constant of absolute normalized norms on R2. By using our method, we not only provide the values of the Gao-type constant in new specific spaces, but also improve well-known...

  • Article
  • Open Access
31 Citations
4,528 Views
19 Pages

Intelligent Deep Learning for Anomaly-Based Intrusion Detection in IoT Smart Home Networks

  • Nazia Butt,
  • Ana Shahid,
  • Kashif Naseer Qureshi,
  • Sajjad Haider,
  • Ashraf Osman Ibrahim,
  • Faisal Binzagr and
  • Noman Arshad

4 December 2022

The Internet of Things (IoT) is a tremendous network based on connected smart devices. These networks sense and transmit data by using advanced communication standards and technologies. The smart home is one of the areas of IoT networks, where home a...

  • Article
  • Open Access
4 Citations
2,059 Views
9 Pages

New Applications of Perov’s Fixed Point Theorem

  • Sorin Mureşan,
  • Loredana Florentina Iambor and
  • Omar Bazighifan

4 December 2022

The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the so...

  • Article
  • Open Access
10 Citations
2,800 Views
24 Pages

Randomized Average Kaczmarz Algorithm for Tensor Linear Systems

  • Wendi Bao,
  • Feiyu Zhang,
  • Weiguo Li,
  • Qin Wang and
  • Ying Gao

4 December 2022

For solving tensor linear systems under the tensor–tensor t-product, we propose the randomized average Kaczmarz (TRAK) algorithm, the randomized average Kaczmarz algorithm with random sampling (TRAKS), and their Fourier version, which can be ef...

  • Article
  • Open Access
8 Citations
8,102 Views
17 Pages

A Polynomial Fitting Problem: The Orthogonal Distances Method

  • Luis Alberto Cantera-Cantera,
  • Cristóbal Vargas-Jarillo,
  • Sergio Isaí Palomino-Reséndiz,
  • Yair Lozano-Hernández and
  • Carlos Manuel Montelongo-Vázquez

4 December 2022

The classical curve-fitting problem to relate two variables, x and y, deals with polynomials. Generally, this problem is solved by the least squares method (LS), where the minimization function considers the vertical errors from the data points to th...

  • Article
  • Open Access
10 Citations
2,179 Views
40 Pages

4 December 2022

The quality of fresh products through cross-regional sales has been uncertain to consumers. To improve the quality of fresh products, some fresh product supply chains have implemented blockchain technology to provide traceable information for their p...

  • Article
  • Open Access
2,753 Views
20 Pages

An Image-Based Framework for the Analysis of the Murine Microvasculature: From Tissue Clarification to Computational Hemodynamics

  • Santiago Mañosas,
  • Aritz Sanz,
  • Cristina Ederra,
  • Ainhoa Urbiola,
  • Elvira Rojas-de-Miguel,
  • Ainhoa Ostiz,
  • Iván Cortés-Domínguez,
  • Natalia Ramírez,
  • Carlos Ortíz-de-Solórzano and
  • Mauro Malvè
  • + 1 author

4 December 2022

The blood–brain barrier is a unique physiological structure acting as a filter for every molecule reaching the brain through the blood. For this reason, an effective pharmacologic treatment supplied to a patient by systemic circulation should f...

  • Article
  • Open Access
9 Citations
2,772 Views
27 Pages

4 December 2022

Elastodynamic problems are investigated in this work by employing the enriched finite element method (EFEM) with various enrichment functions. By performing the dispersion analysis, it is confirmed that for elastodynamic analysis, the amount of numer...

  • Article
  • Open Access
5 Citations
2,183 Views
16 Pages

Entropy-Based Informational Study of the COVID-19 Series of Data

  • Andres M. Kowalski,
  • Mariela Portesi,
  • Victoria Vampa,
  • Marcelo Losada and
  • Federico Holik

4 December 2022

Since the appearance in China of the first cases, the entire world has been deeply affected by the flagellum of the Coronavirus Disease (COVID-19) pandemic. There have been many mathematical approaches trying to characterize the data collected about...

  • Article
  • Open Access
6 Citations
4,084 Views
35 Pages

3 December 2022

Determining the author of a text is a difficult task. Here, we compare multiple Artificial Intelligence techniques for classifying literary texts written by multiple authors by taking into account a limited number of speech parts (prepositions, adver...

  • Article
  • Open Access
3 Citations
1,900 Views
14 Pages

On Some Families of Codes Related to the Even Linear Codes Meeting the Grey–Rankin Bound

  • Iliya Bouyukliev,
  • Stefka Bouyuklieva and
  • Maria Pashinska-Gadzheva

3 December 2022

Bounds for the parameters of codes are very important in coding theory. The Grey–Rankin bound refers to the cardinality of a self-complementary binary code. Codes meeting this bound are associated with families of two-weight codes and other com...

  • Article
  • Open Access
1 Citations
2,263 Views
13 Pages

3 December 2022

Nowadays, graph representation learning methods, in particular graph neural network methods, have attracted great attention and performed well in many downstream tasks. However, most graph neural network methods have a single perspective since they s...

  • Article
  • Open Access
3 Citations
7,704 Views
29 Pages

On the Élö–Runyan–Poisson–Pearson Method to Forecast Football Matches

  • José Daniel López-Barrientos,
  • Damián Alejandro Zayat-Niño,
  • Eric Xavier Hernández-Prado and
  • Yolanda Estudillo-Bravo

3 December 2022

This is a work about football. In it, we depart from two well-known approaches to forecast the outcome of a football match (or even a full tournament) and take advantage of their strengths to develop a new method of prediction. We illustrate the &Eac...

  • Article
  • Open Access
7 Citations
2,394 Views
28 Pages

A Fault Diagnosis Scheme for Gearbox Based on Improved Entropy and Optimized Regularized Extreme Learning Machine

  • Wei Zhang,
  • Hong Lu,
  • Yongquan Zhang,
  • Zhangjie Li,
  • Yongjing Wang,
  • Jun Zhou,
  • Jiangnuo Mei and
  • Yuzhan Wei

3 December 2022

The performance of a gearbox is sensitive to failures, especially in the long-term high speed and heavy load field. However, the multi-fault diagnosis in gearboxes is a challenging problem because of the complex and non-stationary measured signal. To...

  • Article
  • Open Access
4 Citations
2,649 Views
14 Pages

Deep Large-Margin Rank Loss for Multi-Label Image Classification

  • Zhongchen Ma,
  • Zongpeng Li and
  • Yongzhao Zhan

3 December 2022

The large-margin technique has served as the foundation of several successful theoretical and empirical results in multi-label image classification. However, most large-margin techniques are only suitable to shallow multi-label models with preset fea...

  • Article
  • Open Access
4 Citations
2,170 Views
28 Pages

3 December 2022

The bike rebalancing problem is one of the major operational challenges in the urban bike-sharing system, which involves the redistribution of bikes among stations to prevent stations from being empty or overloaded. This paper investigates a new bike...

  • Article
  • Open Access
5 Citations
1,907 Views
17 Pages

2 December 2022

The present work considers the initial problem (IP) for a linear neutral system with derivatives in Caputo’s sense of incommensurate order, distributed delay and various kinds of initial functions. For the considered IP, the studied problem of...

  • Article
  • Open Access
1,638 Views
17 Pages

2 December 2022

In this article, an approach to achieve the anti-disturbance fault-tolerant constrained consensus is proposed for time-delay faulty multi-agent systems under semi-Markov switching topology. Firstly, an observer based on the coupled disturbance and fa...

  • Article
  • Open Access
37 Citations
2,591 Views
13 Pages

2 December 2022

A complete Riemannian manifold equipped with some potential function and an invariant conformal measure is referred to as a complete smooth metric measure space. This paper generalizes some integral inequalities of the Hardy type to the setting of a...

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Mathematics - ISSN 2227-7390