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Mathematics, Volume 10, Issue 13

2022 July-1 - 210 articles

Cover Story: Left-truncation and competing risks arise when analyzing survival data. An example is the failure time data on electric power transformers obtained from a field study. Two events (Event 1 and Event 2) occurring in a data collection period are subject to competing risks. That is, only one of the two events are observable. Solid curves show observable times and dashed curves show unobservable times. One can observe Event 1, Event 2, or Censoring, whichever occurs first, between the starting time (s) and the ending time (e). One cannot observe anything if Event 1 or Event 2 occurs before time s due to left-truncation. View this paper
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Articles (210)

  • Article
  • Open Access
2,577 Views
13 Pages

5 July 2022

In this work, by introducing multiple parameters and utilizing the Euler–Maclaurin summation formula and Abel’s partial summation formula, we first establish a reverse Hardy–Hilbert’s inequality containing one partial sum as t...

(This article belongs to the Special Issue Mathematical Inequalities, Models and Applications)
  • Article
  • Open Access
11 Citations
3,146 Views
15 Pages

Efficient Algorithms for Data Processing under Type-3 (and Higher) Fuzzy Uncertainty

  • Vladik Kreinovich,
  • Olga Kosheleva,
  • Patricia Melin and
  • Oscar Castillo

5 July 2022

It is known that, to more adequately describe expert knowledge, it is necessary to go from the traditional (type-1) fuzzy techniques to higher-order ones: type-2, probably type-3 and even higher. Until recently, only type-1 and type-2 fuzzy sets were...

(This article belongs to the Special Issue New Trends in Fuzzy Sets Theory and Their Extensions)
  • Article
  • Open Access
5 Citations
6,583 Views
16 Pages

Peer Tutoring and Math Digital Tools: A Promising Combination in Middle School

  • Lidon Moliner,
  • Francisco Alegre and
  • Gil Lorenzo-Valentín

5 July 2022

Peer tutoring in combination with math digital tools was employed with middle school students learning mathematics. A total of 112 students in 9th grade (14 to 15 years old) participated in the study. A pretest–posttest with control group design was...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
8 Citations
3,020 Views
21 Pages

5 July 2022

With the popularization of platform economics, many manufacturers are shifting their operations from offline to online, forming platform supply chains (PSCs), which combine e-commerce with supply chain management. To study the influences of network e...

(This article belongs to the Special Issue Data Mining: Analysis and Applications)
  • Article
  • Open Access
46 Citations
6,216 Views
18 Pages

An Automated Hyperparameter Tuning Recurrent Neural Network Model for Fruit Classification

  • Kathiresan Shankar,
  • Sachin Kumar,
  • Ashit Kumar Dutta,
  • Ahmed Alkhayyat,
  • Anwar Ja’afar Mohamad Jawad,
  • Ali Hashim Abbas and
  • Yousif K. Yousif

5 July 2022

Automated fruit classification is a stimulating problem in the fruit growing and retail industrial chain as it assists fruit growers and supermarket owners to recognize variety of fruits and the status of the container or stock to increase business p...

(This article belongs to the Special Issue Decision Making and Its Applications)
  • Article
  • Open Access
41 Citations
3,246 Views
17 Pages

5 July 2022

The behaviour of magnetic impact on the unsteady separated stagnation-point flow of hybrid nanofluid with the influence of viscous dissipation and Joule heating is investigated numerically in this study. A new mathematical hybrid nanofluid model is d...

(This article belongs to the Section E: Applied Mathematics)
  • Feature Paper
  • Article
  • Open Access
7 Citations
2,163 Views
12 Pages

5 July 2022

The synchronization problem for impulsive fractional-order Cohen–Grossberg neural networks with generalized proportional Caputo fractional derivatives with changeable lower limit at any point of impulse is studied. We consider the cases when th...

(This article belongs to the Special Issue Nonlinear Equations: Theory, Methods, and Applications II)
  • Article
  • Open Access
31 Citations
4,159 Views
18 Pages

5 July 2022

Cracks are widespread in infrastructure that are closely related to human activity. It is very popular to use artificial intelligence to detect cracks intelligently, which is known as crack detection. The noise in the background of crack images, disc...

(This article belongs to the Special Issue Computer Vision and Pattern Recognition with Applications)
  • Article
  • Open Access
10 Citations
2,050 Views
17 Pages

Nonlocal Integro-Multi-Point (k, ψ)-Hilfer Type Fractional Boundary Value Problems

  • Sotiris K. Ntouyas,
  • Bashir Ahmad,
  • Jessada Tariboon and
  • Mohammad S. Alhodaly

5 July 2022

In this paper we investigate the criteria for the existence of solutions for single-valued as well as multi-valued boundary value problems involving (k,ψ)-Hilfer fractional derivative operator of order in (1,2], equipped with nonlocal integral mu...

(This article belongs to the Special Issue Fractional Differential Equations: Theory and Application)
  • Article
  • Open Access
2,421 Views
29 Pages

Monochromatic Edges in Complete Multipartite Hypergraphs

  • Teeradej Kittipassorn and
  • Boonpipop Sirirojrattana

5 July 2022

Consider the following problem. In a school with three classes containing n students each, given that their genders are unknown, find the minimum possible number of triples of same-gender students—not all of which are from the same class. Muaengwaeng...

  • Article
  • Open Access
3 Citations
3,155 Views
16 Pages

5 July 2022

The study examines three experiments of implementing the “learning through teaching” approach combined with the development of digital technologies and explores the influence of these methods on the quality of education for undergraduate engineering...

  • Article
  • Open Access
66 Citations
4,774 Views
20 Pages

An Efficient Parallel Reptile Search Algorithm and Snake Optimizer Approach for Feature Selection

  • Ibrahim Al-Shourbaji,
  • Pramod H. Kachare,
  • Samah Alshathri,
  • Salahaldeen Duraibi,
  • Bushra Elnaim and
  • Mohamed Abd Elaziz

5 July 2022

Feature Selection (FS) is a major preprocessing stage which aims to improve Machine Learning (ML) models’ performance by choosing salient features, while reducing the computational cost. Several approaches are presented to select the most Optim...

  • Article
  • Open Access
6 Citations
4,069 Views
15 Pages

5 July 2022

In this paper, the interpolation matrix method (IMM) is proposed to solve the buckling critical load of axially functionally graded (FG) Timoshenko beams. Based on Timoshenko beam theory, a set of governing equations coupled by the deflection functio...

(This article belongs to the Special Issue Advanced Numerical Methods in Computational Solid Mechanics)
  • Article
  • Open Access
13 Citations
2,806 Views
15 Pages

5 July 2022

This work aims at investigating the nonlinear transient response of fluid-conveying pipes made of graphene nanoplatelet (GPL)-reinforced composite (GPLRC) under blast loads and in a thermal environment. A modified Halpin–Tsai model is used to a...

(This article belongs to the Special Issue Modeling and Analysis in Dynamical Systems and Bistability)
  • Article
  • Open Access
6 Citations
3,102 Views
17 Pages

5 July 2022

The COVID-19 pandemic had an unprecedented impact on the civil aviation passenger transport industry. This study analyzes the scale change and spatial distribution of the Chinese main air transport network (CMATN) and its role in the early spread of...

(This article belongs to the Special Issue Feature Papers in Complex Networks and Their Applications)
  • Article
  • Open Access
56 Citations
2,865 Views
15 Pages

Dynamical Behavior of a Fractional Order Model for Within-Host SARS-CoV-2

  • Kaushik Dehingia,
  • Ahmed A. Mohsen,
  • Sana Abdulkream Alharbi,
  • Reima Daher Alsemiry and
  • Shahram Rezapour

4 July 2022

The prime objective of the current study is to propose a novel mathematical framework under the fractional-order derivative, which describes the complex within-host behavior of SARS-CoV-2 by taking into account the effects of memory and carrier. To d...

(This article belongs to the Special Issue Complex Biological Systems and Mathematical Biology)
  • Article
  • Open Access
2,617 Views
11 Pages

4 July 2022

This paper is concerned with the spatially homogeneous Boltzmann equation, with the assumption of Maxwellian interaction. We consider initial data that belong to a small neighborhood of the equilibrium, which is a Maxwellian distribution. We prove th...

(This article belongs to the Section E4: Mathematical Physics)
  • Feature Paper
  • Article
  • Open Access
9 Citations
3,830 Views
14 Pages

Computing Frequency-Dependent Hysteresis Loops and Dynamic Energy Losses in Soft Magnetic Alloys via Artificial Neural Networks

  • Simone Quondam Antonio,
  • Francesco Riganti Fulginei,
  • Gabriele Maria Lozito,
  • Antonio Faba,
  • Alessandro Salvini,
  • Vincenzo Bonaiuto and
  • Fausto Sargeni

4 July 2022

A neural network model to predict the dynamic hysteresis loops and the energy-loss curves (i.e., the energy versus the amplitude of the magnetic induction) of soft ferromagnetic materials at different operating frequencies is proposed herein. Firstly...

(This article belongs to the Special Issue Artificial Neural Networks: Design and Applications)
  • Article
  • Open Access
9 Citations
4,440 Views
23 Pages

4 July 2022

The role and the availability of digital technology in society is growing, which is why educators need to increasingly more often decide which types of digital technology to integrate into their teaching and when to integrate them. Thus, those decisi...

(This article belongs to the Special Issue International Perspectives for Technology Applications in Mathematics Education)
  • Article
  • Open Access
1 Citations
2,608 Views
12 Pages

4 July 2022

The empirical likelihood ratio test (ELRT) statistic is constructed for testing the homogeneity of several nonparametric populations in the presence of some auxiliary information. It is shown—under some regularity conditions and under the null...

(This article belongs to the Special Issue Advances in Statistics: Theory, Methodology, Applications and Data Analysis)
  • Article
  • Open Access
28 Citations
2,826 Views
18 Pages

4 July 2022

The goal of this study is to develop some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. Hypergeometric functions of the kind 2F1(z) are included in all connection coefficients for a specific z. Several ne...

  • Editorial
  • Open Access
2,145 Views
3 Pages

4 July 2022

Over the last few decades, Multi-criteria Decision Analysis (MCDA) techniques have been successfully applied to complex decision-making problems in a wide range of fields, such as economics, finance, logistics, environmental restoration, health or in...

(This article belongs to the Special Issue Recent Advances and Applications in Multi-Criteria Decision Analysis)
  • Article
  • Open Access
6 Citations
2,710 Views
19 Pages

4 July 2022

The application of transformations of the state equations of continuous linear and bilinear systems to the canonical form of controllability allows one to simplify the computation of Gramians of these systems. In this paper, we develop the method and...

(This article belongs to the Special Issue Dynamics and Control Theory with Applications)
  • Article
  • Open Access
10 Citations
5,288 Views
34 Pages

4 July 2022

Geosynchronous orbit (GEO) is a very important strategic resource. In order to maximize the utilization of the GEO resources, the use of all-electric propulsion GEO platforms can greatly extend the service life of satellites. Therefore, this paper pr...

(This article belongs to the Special Issue Mathematical Problems in Aerospace)
  • Article
  • Open Access
4 Citations
7,699 Views
27 Pages

4 July 2022

This paper tests the random walk hypothesis in the cryptocurrency market. Based on the well-known Meese–Rogoff puzzle, we evaluate whether cryptocurrency returns are predictable or not. For this purpose, we conduct in-sample and out-of-sample a...

(This article belongs to the Special Issue Advances in Blockchain Technology)
  • Article
  • Open Access
15 Citations
2,772 Views
22 Pages

Enhanced Teaching Learning-Based Algorithm for Fuel Costs and Losses Minimization in AC-DC Systems

  • Shahenda Sarhan,
  • Abdullah M. Shaheen,
  • Ragab A. El-Sehiemy and
  • Mona Gafar

4 July 2022

The Teaching Learning-Based Algorithm (TLBA) is a powerful and effective optimization approach. TLBA mimics the teaching-learning process in a classroom, where TLBA’s iterative computing process is separated into two phases, unlike standard evo...

(This article belongs to the Topic Multi-Energy Systems)
  • Article
  • Open Access
6 Citations
8,014 Views
13 Pages

Pension Funds, Insurance Companies and Stock Market Development: Evidence from Emerging Markets

  • Yilmaz Bayar,
  • Marius Dan Gavriletea,
  • Dan Constantin Danuletiu,
  • Adina Elena Danuletiu and
  • Emre Sakar

3 July 2022

Stock markets foster economic growth through meeting the fund requirements of the firms by individual and institutional investors. Pension funds and insurance companies with their long-term investment horizon are critical institutional investors in c...

(This article belongs to the Special Issue Financial Mathematics II)
  • Article
  • Open Access
31 Citations
3,869 Views
17 Pages

Delegated Proof of Accessibility (DPoAC): A Novel Consensus Protocol for Blockchain Systems

  • Manpreet Kaur,
  • Shikha Gupta,
  • Deepak Kumar,
  • Chaman Verma,
  • Bogdan-Constantin Neagu and
  • Maria Simona Raboaca

3 July 2022

As the backbone of every blockchain application, the consensus protocol is impacted by numerous risks, namely resource requirements and energy consumption, which limit the usage of blockchain. Applications such as IoT/IIoT cannot use these high-cost...

(This article belongs to the Special Issue Advances in Blockchain Technology)
  • Article
  • Open Access
2 Citations
7,736 Views
21 Pages

Measuring Productivities for the 38 OECD Member Countries: An Input-Output Modelling Approach

  • Zacharias Bragoudakis,
  • Evangelia Kasimati,
  • Christos Pierros,
  • Nikolaos Rodousakis and
  • George Soklis

3 July 2022

Using a multisectoral model and the latest data from the OECD Input-Output Tables (IOTs-2021 ed.), this article estimates labour and capital productivities of the 38 OECD member countries. As measures of the productivity of labour, we consider the in...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
7 Citations
4,641 Views
19 Pages

3 July 2022

The Victorian Curriculum and Assessment Authority (VCAA) introduced the use of Computer Algebra System (CAS) technology (calculator and software) into the senior secondary mathematics curriculum and examination assessment in three phases, starting wi...

  • Article
  • Open Access
2 Citations
2,117 Views
10 Pages

3 July 2022

In order to ensure the reliability and safety of complex engineering structures and allow their redesign and evaluation, the estimation of dynamic loads applied on them is vital. In this paper, a novel time–frequency domain approach is proposed...

(This article belongs to the Special Issue Mathematical Modeling and Numerical Simulation in Engineering)
  • Article
  • Open Access
1 Citations
2,012 Views
16 Pages

3 July 2022

In this paper, quantitative mean square exponential stability and stabilization of Itô-type linear stochastic Markovian jump systems with Brownian and Poisson noises are investigated. First, the definition of quantitative mean square exponentia...

(This article belongs to the Special Issue Impulsive Control Systems and Complexity II)
  • Article
  • Open Access
26 Citations
3,522 Views
39 Pages

3 July 2022

In this paper, we propose a reptile search algorithm based on Lévy flight and interactive crossover strategy (LICRSA), and the improved algorithm is employed to improve the problems of poor convergence accuracy and slow iteration speed of the...

(This article belongs to the Special Issue Optimisation Algorithms and Their Applications)
  • Article
  • Open Access
43 Citations
11,558 Views
15 Pages

3 July 2022

Despite a plethora of research studies on service quality, in general, and electronic (e) service quality, in particular, studies often focus on either understating the dimensions of e-service quality or its direct relationship with other variables s...

(This article belongs to the Special Issue Operational Research in Service-oriented Manufacturing)
  • Article
  • Open Access
2 Citations
2,439 Views
38 Pages

Local Laws for Sparse Sample Covariance Matrices

  • Alexander N. Tikhomirov and
  • Dmitry A. Timushev

3 July 2022

We proved the local Marchenko–Pastur law for sparse sample covariance matrices that corresponded to rectangular observation matrices of order n×m with n/m→y (where y>0) and sparse probability npn>logβn (where β>0)....

(This article belongs to the Special Issue Limit Theorems of Probability Theory)
  • Article
  • Open Access
3 Citations
2,477 Views
14 Pages

3 July 2022

A new class of high-performance preconditioned iterative solution methods for large-scale finite element method (FEM) elliptic systems is proposed and analyzed. The non-overlapping domain decomposition (DD) naturally introduces coupling operator at t...

(This article belongs to the Special Issue Numerical Methods for Fractional Differential Equations and Applications)
  • Article
  • Open Access
53 Citations
4,775 Views
19 Pages

2 July 2022

Software risk management is an important factor in ensuring software quality. Therefore, software risk assessment has become a significant and challenging research area. The aim of this study is to establish a data-driven software risk assessment mod...

(This article belongs to the Special Issue Probability and Statistics in Quality and Reliability Engineering)
  • Article
  • Open Access
1 Citations
3,346 Views
15 Pages

2 July 2022

The paper considers quantile-wavelet estimation for time-varying coefficients by embedding a wavelet kernel into quantile regression. Our methodology is quite general in the sense that we do not require the unknown time-varying coefficients to be smo...

(This article belongs to the Special Issue Nonparametric Statistical Methods and Their Applications)
  • Article
  • Open Access
4 Citations
2,587 Views
20 Pages

2 July 2022

Optimal operation and control, which can result in the global optimal operation performance of industrial processes, has been a hot topic in recent control strategy designs. However, existing control strategies, such as real-time optimization (RTO),...

(This article belongs to the Special Issue Mathematical Methods for Nonlinear Control)
  • Article
  • Open Access
2 Citations
2,738 Views
20 Pages

2 July 2022

Biological processes are governed by the expression of proteins, and for some proteins, their level of expression can fluctuate periodically over time (i.e., they oscillate). Many oscillatory proteins (e.g., cell cycle proteins and those from the HES...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
2,684 Views
13 Pages

Optimization Problems in Spanish Differential Calculus Books Published in the 18th Century

  • José Carlos Casas-Rosal,
  • Carmen León-Mantero,
  • Noelia Jiménez-Fanjul and
  • David Gutiérrez-Rubio

2 July 2022

History of mathematics and mathematics education research allows us to know, among other issues: the influence that certain textbooks have had on the teaching of school mathematics, in academic or professional training, during a certain historical pe...

(This article belongs to the Special Issue New Advances in Mathematics Education and Mathematics History)
  • Article
  • Open Access
34 Citations
3,019 Views
14 Pages

2 July 2022

An improved variational inequality strategy for dealing with variational inequality in a Hilbert space is proposed in this article as an alternative; if Hilbert space is used as the domain of interest, the original extra-gradient method is proposed f...

  • Article
  • Open Access
1,794 Views
15 Pages

2 July 2022

An auxiliary information-based maximum exponentially weighted moving average chart, namely, the AIB-MaxEWMA chart, is superior to the existing MaxEWMA chart in detecting small process mean and/or variability shifts. To date, AIB-MaxEWMA chart was des...

  • Article
  • Open Access
2 Citations
1,708 Views
17 Pages

2 July 2022

The problem of finding Lie point symmetries for a certain class of multi-dimensional nonlinear partial fractional differential equations and their systems is studied. It is assumed that considered equations involve fractional derivatives with respect...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
41 Citations
6,689 Views
28 Pages

2 July 2022

Experimental studies were carried out to analyze the impact of optimizers and learning rate on the performance of deep learning-based algorithms for rock thin-section image classification. A total of 2634 rock thin-section images including three rock...

(This article belongs to the Special Issue Mathematical Problems in Rock Mechanics and Rock Engineering)
  • Article
  • Open Access
4 Citations
2,254 Views
15 Pages

Improvement of Some Hayashi–Ostrowski Type Inequalities with Applications in a Probability Setting

  • Mohammad W. Alomari,
  • Christophe Chesneau,
  • Víctor Leiva and
  • Carlos Martin-Barreiro

1 July 2022

Different types of mathematical inequalities have been largely analyzed and employed. In this paper, we introduce improvements to some Ostrowski type inequalities and present their corresponding proofs. The presented proofs are based on applying the...

(This article belongs to the Special Issue Mathematical Inequalities, Models and Applications)
  • Article
  • Open Access
12 Citations
3,098 Views
26 Pages

1 July 2022

The generalized proportional Caputo fractional derivative is a comparatively new type of derivative that is a generalization of the classical Caputo fractional derivative, and it gives more opportunities to adequately model complex phenomena in physi...

(This article belongs to the Special Issue Recent Investigations of Differential and Fractional Equations and Inclusions II)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,825 Views
17 Pages

Multiple q-Integral and Records from Geometrically Distributed Sequences

  • Fernando López-Blázquez and
  • Begoña Salamanca-Miño

1 July 2022

We study the distribution theory of some statistics related to records from a sequence of geometrically distributed random variables. The main novelty in this study is the introduction of q-calculus techniques. We obtain representations for the proba...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
5 Citations
7,108 Views
23 Pages

1 July 2022

This study examines the effects of COVID-19-related measures on the mathematics achievement of university students in social sciences in Slovenia. Our particular concern was to compare two student populations (pre-pandemic and pandemic) in terms of f...

(This article belongs to the Special Issue Advances in the Scientific Interplay of Mathematics and Language, Literature, and Education)

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Mathematics - ISSN 2227-7390