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Mathematics, Volume 11, Issue 22

2023 November-2 - 146 articles

Cover Story: New families of direct serendipity and direct mixed finite elements on general planar, strictly convex polygons were recently defined by the authors. The finite elements of index r are H1 and H(div) conforming, respectively, and approximate optimally to order r+1 while using the minimal number of degrees of freedom. The shape function space consists of the full set of polynomials defined directly on the element and augmented with a space of supplemental functions. In this work, we propose alternative ways to construct the supplemental functions on the element as continuous piecewise polynomials. One approach results in supplemental functions that are in Hp for any p≥1. We prove the optimal approximation property for these new finite elements. View this paper
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Articles (146)

  • Article
  • Open Access
1 Citations
3,127 Views
29 Pages

20 November 2023

Complementarity and substitutability between products are essential concepts in retail and marketing. To achieve this, existing approaches take advantage of knowledge graphs to learn more evidence for inference. However, they often omit the knowledge...

  • Article
  • Open Access
1 Citations
1,445 Views
27 Pages

20 November 2023

In this research paper, we present a new inertial method with a self-adaptive technique for solving the split variational inclusion and fixed point problems in real Hilbert spaces. The algorithm is designed to choose the optimal choice of the inertia...

  • Article
  • Open Access
5 Citations
2,394 Views
18 Pages

Noisy Tree Data Structures and Quantum Applications

  • Kamil Khadiev,
  • Nikita Savelyev,
  • Mansur Ziatdinov and
  • Denis Melnikov

20 November 2023

We suggest a new technique for developing noisy tree data structures. We call it a “walking tree”. As applications of the technique we present a noisy Self-Balanced Binary Search Tree (we use a Red–Black tree as an implementation) a...

  • Article
  • Open Access
3 Citations
1,702 Views
16 Pages

20 November 2023

Optimization algorithms have now played an important role in many fields, and the issue of how to design high-efficiency algorithms has gained increasing attention, for which it has been shown that advanced control theories could be helpful. In this...

  • Article
  • Open Access
5 Citations
1,686 Views
24 Pages

20 November 2023

This paper investigates a cellular network assisted by unmanned aerial vehicles (UAVs) in the presence of a fluctuating 3-dimensional (3D) antenna beamwidth. The primary objective is to perform an analysis of typical user equipment (T-UE) performance...

  • Article
  • Open Access
3 Citations
2,088 Views
17 Pages

20 November 2023

This paper investigates a single-machine scheduling problem of a software test with shared common setup operations. Each job has a corresponding set of setup operations, and the job cannot be executed unless its setups are completed. If two jobs have...

  • Review
  • Open Access
33 Citations
8,730 Views
21 Pages

20 November 2023

From Cournot, Walras, and Pareto’s research to what followed in the form of marginalist economics, chaos theory, agent-based modeling, game theory, and econophysics, the interpretation and analysis of economic systems have been carried out usin...

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,274 Views
14 Pages

20 November 2023

We study the Terracini loci of an irreducible variety X embedded in a projective space: non-emptiness, dimensions and the geometry of their maximal dimension’s irreducible components. These loci were studied because they describe where the diff...

  • Article
  • Open Access
8 Citations
4,589 Views
17 Pages

20 November 2023

The flexible job shop scheduling problem (FJSP), one of the core problems in the field of generative manufacturing process planning, has become a hotspot and a challenge in manufacturing production research. In this study, an improved self-learning g...

  • Article
  • Open Access
12 Citations
1,800 Views
14 Pages

20 November 2023

In this paper, we present a new class of Leonardo hybrid numbers that incorporate quantum integers into their components. This advancement presents a broader generalization of the q-Leonardo hybrid numbers. We explore some fundamental properties asso...

  • Article
  • Open Access
1 Citations
1,301 Views
13 Pages

20 November 2023

We here employ a proper orthogonal decomposition (POD) to reduce the dimensionality of unknown coefficient vectors of finite element (FE) solutions for the fractional Tricomi-type equation and develop a reduced-dimension extrapolating FE (RDEFE) meth...

  • Article
  • Open Access
17 Citations
5,214 Views
31 Pages

Developing System-Based Artificial Intelligence Models for Detecting the Attention Deficit Hyperactivity Disorder

  • Hasan Alkahtani,
  • Theyazn H. H. Aldhyani,
  • Zeyad A. T. Ahmed and
  • Ahmed Abdullah Alqarni

20 November 2023

This study presents a novel methodology for automating the classification of pediatric ADHD using electroencephalogram (EEG) biomarkers through machine learning and deep learning techniques. The primary objective is to develop accurate EEG-based scre...

  • Article
  • Open Access
3 Citations
1,794 Views
10 Pages

19 November 2023

This paper introduces and explores the concept of soft ideal dense sets, utilizing soft open sets and soft local functions, to examine their fundamental characteristics under some conditions for the following notions: soft ideal hyperconnectedness, s...

  • Article
  • Open Access
1 Citations
1,899 Views
19 Pages

On the State-Feedback Controller Design for Polynomial Linear Parameter-Varying Systems with Pole Placement within Linear Matrix Inequality Regions

  • Jorge A. Brizuela-Mendoza,
  • Juan Carlos Mixteco-Sánchez,
  • Maria A. López-Osorio,
  • Gerardo Ortiz-Torres,
  • Felipe D. J. Sorcia-Vázquez,
  • Ricardo Eliú Lozoya-Ponce,
  • Moises B. Ramos-Martínez,
  • Alan F. Pérez-Vidal,
  • Jesse Y. Rumbo Morales and
  • Carlos Alberto Torres-Cantero
  • + 2 authors

19 November 2023

The present paper addresses linear parameter-varying systems with high-order time-varying parameter dependency known as polynomial LPV systems and their controller design. Throughout this work, a procedure ensuring a state-feedback controller from a...

  • Article
  • Open Access
4 Citations
2,744 Views
18 Pages

19 November 2023

The discriminability and transferability of models are two important factors for the success of domain adaptation methods. Recently, some domain adaptation methods have improved models by adding a discriminant information extraction module. However,...

  • Article
  • Open Access
6 Citations
1,579 Views
11 Pages

19 November 2023

The aim of this paper is manifold. We first define the new class of operators called MR-Kannan interpolative type contractions, which includes the Kannan, enriched Kannan, interpolative Kannan type, and enriched interpolative Kannan type operators. S...

  • Article
  • Open Access
26 Citations
5,237 Views
33 Pages

Power Transformer Fault Diagnosis Using Neural Network Optimization Techniques

  • Vasiliki Rokani,
  • Stavros D. Kaminaris,
  • Petros Karaisas and
  • Dimitrios Kaminaris

19 November 2023

Artificial Intelligence (AI) techniques are considered the most advanced approaches for diagnosing faults in power transformers. Dissolved Gas Analysis (DGA) is the conventional approach widely adopted for diagnosing incipient faults in power transfo...

  • Article
  • Open Access
2 Citations
3,398 Views
25 Pages

A Two-Server Queue with Interdependence between Arrival and Service Processes

  • Sindhu S,
  • Achyutha Krishnamoorthy and
  • Dmitry Kozyrev

18 November 2023

In this paper, we analyse a queueing system with two servers where the arrival and service processes are interdependent. The evolution of these processes is governed by transitions on the product space of three Markov chains, which are descriptors of...

  • Article
  • Open Access
2,584 Views
23 Pages

18 November 2023

In Electromagnetics, the field scattered by an ensemble of particles—of arbitrary size, shape, and material—can be obtained by solving the Lippmann–Schwinger equation. This singular vectorial integral equation is generally formulate...

  • Article
  • Open Access
1,672 Views
15 Pages

18 November 2023

Recently, the localized oscillatory radial basis functions collocation method (L-ORBFs) has been introduced to solve elliptic partial differential equations in 2D with a large number of computational nodes. The research clearly shows that the L-ORBFs...

  • Article
  • Open Access
4 Citations
1,821 Views
13 Pages

Projection and Contraction Method for Pricing American Bond Options

  • Qi Zhang,
  • Qi Wang,
  • Ping Zuo,
  • Hongbo Du and
  • Fangfang Wu

18 November 2023

In this paper, an effective numerical method is proposed for a linear complementarity problem (LCP) arising in the valuation of American bond options under the Cox–Ingersoll–Ross (CIR) model. Firstly, a variable substitution is used to si...

  • Article
  • Open Access
4 Citations
1,818 Views
20 Pages

Determination of Reservoir Oxidation Zone Formation in Uranium Wells Using Ensemble Machine Learning Methods

  • Ravil I. Mukhamediev,
  • Yan Kuchin,
  • Yelena Popova,
  • Nadiya Yunicheva,
  • Elena Muhamedijeva,
  • Adilkhan Symagulov,
  • Kirill Abramov,
  • Viktors Gopejenko,
  • Vitaly Levashenko and
  • Sergey Stankevich
  • + 2 authors

17 November 2023

Approximately 50% of the world’s uranium is mined in a closed way using underground well leaching. In the process of uranium mining at formation-infiltration deposits, an important role is played by the correct identification of the formation o...

  • Article
  • Open Access
1 Citations
1,647 Views
19 Pages

Optimal Non-Asymptotic Bounds for the Sparse β Model

  • Xiaowei Yang,
  • Lu Pan,
  • Kun Cheng and
  • Chao Liu

17 November 2023

This paper investigates the sparse β model with 𝓁1 penalty in the field of network data models, which is a hot topic in both statistical and social network research. We present a refined algorithm designed for parameter estimation in the...

  • Article
  • Open Access
1 Citations
1,626 Views
14 Pages

17 November 2023

In this paper, we are concerned with a fixed stepsize Euler method for a class of linear impulsive neutral delay differential equations. By taking the partition nodes for the Euler scheme and employing the linear interpolation, we strictly prove the...

  • Article
  • Open Access
3 Citations
1,455 Views
16 Pages

Metallic Structures for Tangent Bundles over Almost Quadratic ϕ-Manifolds

  • Mohammad Nazrul Islam Khan,
  • Sudhakar Kumar Chaubey,
  • Nahid Fatima and
  • Afifah Al Eid

17 November 2023

This paper aims to explore the metallic structure J2=pJ+qI, where p and q are natural numbers, using complete and horizontal lifts on the tangent bundle TM over almost quadratic ϕ-structures (briefly, (ϕ,ξ,η)). Tensor fields F˜...

  • Article
  • Open Access
29 Citations
7,376 Views
15 Pages

17 November 2023

Heart disease remains a predominant health challenge, being the leading cause of death worldwide. According to the World Health Organization (WHO), cardiovascular diseases (CVDs) take an estimated 17.9 million lives each year, accounting for 32% of a...

  • Article
  • Open Access
5 Citations
2,041 Views
12 Pages

17 November 2023

This paper studies the application of artificial intelligence to milling machines, focusing specifically on identifying the inputs (features) required for predicting surface roughness. Previous studies have extensively reviewed and presented useful f...

  • Article
  • Open Access
1,195 Views
11 Pages

17 November 2023

The aim of this paper is to introduce and investigate some new subclasses of bi-concave functions using q-convolution and some applications. These special cases are obtaining by making use of a q- derivative linear operator. For the new introduced su...

  • Article
  • Open Access
6 Citations
1,753 Views
17 Pages

nmPLS-Net: Segmenting Pulmonary Lobes Using nmODE

  • Peizhi Dong,
  • Hao Niu,
  • Zhang Yi and
  • Xiuyuan Xu

17 November 2023

Pulmonary lobe segmentation is vital for clinical diagnosis and treatment. Deep neural network-based pulmonary lobe segmentation methods have seen rapid development. However, there are challenges that remain, e.g., pulmonary fissures are always not c...

  • Article
  • Open Access
2 Citations
1,181 Views
25 Pages

17 November 2023

A steady plane hydrodynamic problem of lubrication of a lightly loaded contact of two parallel cylinders lubricated by a non-Newtonian fluid with Giesekus rheology is considered. The advantage of this non-Newtonian rheology is its ability to properly...

  • Article
  • Open Access
1 Citations
1,054 Views
11 Pages

17 November 2023

In this paper, a thermokinetic model forced by colored noise is studied. We analyze the mechanisms of stochastic excitement of equilibrium modes under variation of correlation time and noise intensity. It is shown that the phenomenon of colored-noise...

  • Article
  • Open Access
2 Citations
1,613 Views
9 Pages

Dimensionality Reduction with Variational Encoders Based on Subsystem Purification

  • Raja Selvarajan,
  • Manas Sajjan,
  • Travis S. Humble and
  • Sabre Kais

17 November 2023

Efficient methods for encoding and compression are likely to pave the way toward the problem of efficient trainability on higher-dimensional Hilbert spaces, overcoming issues of barren plateaus. Here, we propose an alternative approach to variational...

  • Article
  • Open Access
50 Citations
21,578 Views
25 Pages

Analyzing Employee Attrition Using Explainable AI for Strategic HR Decision-Making

  • Gabriel Marín Díaz,
  • José Javier Galán Hernández and
  • José Luis Galdón Salvador

17 November 2023

Employee attrition and high turnover have become critical challenges faced by various sectors in today’s competitive job market. In response to these pressing issues, organizations are increasingly turning to artificial intelligence (AI) to pre...

  • Article
  • Open Access
2 Citations
1,308 Views
17 Pages

16 November 2023

This paper proposes an output feedback sliding-mode control design based on a switched robust integral sliding mode for switched systems with unmatched uncertainties. First, the control task based on the observer is given while the system state infor...

  • Article
  • Open Access
4 Citations
1,916 Views
24 Pages

16 November 2023

This study proposes a discrete-time eco-genetic model of a planktonic community that includes zooplankton and two competing phytoplankton haplotypes with and without a toxicity trait. The Holling type II response function describes predator consumpti...

  • Article
  • Open Access
1,652 Views
22 Pages

Logical–Mathematical Foundations of a Graph Query Framework for Relational Learning

  • Pedro Almagro-Blanco,
  • Fernando Sancho-Caparrini and
  • Joaquín Borrego-Díaz

16 November 2023

Relational learning has attracted much attention from the machine learning community in recent years, and many real-world applications have been successfully formulated as relational learning problems. In recent years, several relational learning alg...

  • Feature Paper
  • Article
  • Open Access
6 Citations
4,369 Views
24 Pages

Portfolio Construction: A Network Approach

  • Evangelos Ioannidis,
  • Iordanis Sarikeisoglou and
  • Georgios Angelidis

16 November 2023

A key parameter when investing is Time Horizon. One of the biggest mistakes investors make is not aligning the timeline of their goals with their investment portfolio. In other words, time horizons determine the investment portfolio you should constr...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,314 Views
16 Pages

16 November 2023

In this work, a control chart with multiple runs rules is proposed and studied in the case of monitoring inflated processes. Usually, Shewhart-type control charts for attributes do not have a lower control limit, especially when the in-control proces...

  • Article
  • Open Access
7 Citations
2,434 Views
27 Pages

16 November 2023

Cost prediction can provide a pharma supply chain industry with completing their projects on schedule and within budget. This paper provides a new multi-function Blockchain Technology-enabled Pharmaceutical Supply Chain (BT-enabled PSC) mathematical...

  • Article
  • Open Access
1,810 Views
11 Pages

16 November 2023

In this paper, we extend the scope of the Tate and Ormerod Lemmas to the Dunkl setting, revealing a profound interconnection that intricately links the Dunkl transform and the Mellin transform. This illumination underscores the pivotal significance o...

  • Article
  • Open Access
6 Citations
2,574 Views
30 Pages

Methodology for Power Systems’ Emergency Control Based on Deep Learning and Synchronized Measurements

  • Mihail Senyuk,
  • Murodbek Safaraliev,
  • Andrey Pazderin,
  • Olga Pichugova,
  • Inga Zicmane and
  • Svetlana Beryozkina

16 November 2023

Modern electrical power systems place special demands on the speed and accuracy of transient and steady-state process control. The introduction of renewable energy sources has significantly influenced the amount of inertia and uncertainty of transien...

  • Article
  • Open Access
7 Citations
1,964 Views
17 Pages

16 November 2023

Permanent magnet synchronous motors (PMSMs) are widely applied in industry, and proportional integral (PI) controllers are often used to control PMSMs. Aiming at the characteristics of the poor anti-disturbance ability and speed ripple of traditional...

  • Article
  • Open Access
1 Citations
1,411 Views
22 Pages

16 November 2023

This study explores adapted mathematical methods to solve the couple-breaking soliton (BS) equations in two-dimensional spatial domains. Using these methods, we obtained analytical soliton solutions for the equations involving free parameters such as...

  • Article
  • Open Access
37 Citations
3,593 Views
9 Pages

16 November 2023

This paper aims to search for lump waves in a spatial symmetric (2+1)-dimensional dispersive wave model. Through an ansatz on positive quadratic functions, we conduct symbolic computations with Maple to generate lump waves for the proposed nonlinear...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,736 Views
18 Pages

16 November 2023

New families of direct serendipity and direct mixed finite elements on general planar, strictly convex polygons were recently defined by the authors. The finite elements of index r are H1 and H(div) conforming, respectively, and approximate optimally...

  • Article
  • Open Access
1 Citations
2,218 Views
18 Pages

16 November 2023

When the call center queuing system becomes complex, it turns out that the static routing policy is not optimal. This paper considers the problem of the dynamic routing policy for call centers with multiple skill types and agent groups. A state-depen...

  • Article
  • Open Access
1 Citations
1,476 Views
14 Pages

16 November 2023

Unsupervised classification is used in credit risk assessment to reduce human resource costs and make informed decisions in the shortest possible time. Although several studies show that support vector machine-based methods have better performance in...

  • Article
  • Open Access
4 Citations
2,814 Views
25 Pages

16 November 2023

Parallel natural language processing systems were previously successfully tested on the tasks of part-of-speech tagging and authorship attribution through mini-language modeling, for which they achieved significantly better results than independent m...

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Mathematics - ISSN 2227-7390