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Mathematics, Volume 10, Issue 4

2022 February-2 - 139 articles

Cover Story: One of the fundamental problems in submanifold theory is the establishment of optimal relationships between intrinsic and extrinsic submanifold invariants. In order to establish such relationships, the notion of δ-invariants for Riemannian manifolds, which are different from classical curvature invariants, were introduced by the first author in the 1990s. Earlier research on δ-invariants and their applications have been summarized in the first author’s book, published in 2011, titled “Pseudo-Riemannian Geometry, δ-Invariants and Applications” (ISBN: 978-981-4329-63-7). In this survey, we present a comprehensive account of the development of the differential geometry of submanifolds in complex space forms involving δ-invariants since the publication of that book. View this paper
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Articles (139)

  • Article
  • Open Access
17 Citations
3,165 Views
25 Pages

21 February 2022

In this paper, the existence of a mild solution to the Cauchy problem for impulsive semilinear second-order differential inclusion in a Banach space is investigated in the case when the nonlinear term also depends on the first derivative. This purpos...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
8 Citations
3,402 Views
19 Pages

A Model for Brucellosis Disease Incorporating Age of Infection and Waning Immunity

  • Cyrille Kenne,
  • Gisèle Mophou,
  • René Dorville and
  • Pascal Zongo

21 February 2022

This paper proposes a model for brucellosis transmission. The model takes into account the age of infection and waning immunity, that is, the progressive loss of immunity after recovery. Three routes of transmissions are considered: vertical transmis...

(This article belongs to the Special Issue Mathematical Modeling and Its Application in Medicine)
  • Article
  • Open Access
51 Citations
5,678 Views
19 Pages

Infrared Small Target Detection Based on Partial Sum Minimization and Total Variation

  • Sur Singh Rawat,
  • Saleh Alghamdi,
  • Gyanendra Kumar,
  • Youseef Alotaibi,
  • Osamah Ibrahim Khalaf and
  • Lal Pratap Verma

21 February 2022

In the advanced applications, based on infrared detection systems, the precise detection of small targets has become a tough work today. This becomes even more difficult when the background is highly dense in addition to the nature of small targets....

(This article belongs to the Special Issue Mathematical Methods and Applications for Artificial Intelligence and Computer Vision)
  • Article
  • Open Access
2 Citations
2,662 Views
16 Pages

Pathwise Convergent Approximation for the Fractional SDEs

  • Kęstutis Kubilius and
  • Aidas Medžiūnas

21 February 2022

Fractional stochastic differential equation (FSDE)-based random processes are used in a wide spectrum of scientific disciplines. However, in the majority of cases, explicit solutions for these FSDEs do not exist and approximation schemes have to be a...

(This article belongs to the Special Issue Applied Probability)
  • Article
  • Open Access
2,501 Views
24 Pages

21 February 2022

This work is situated at the conjunction of the fields of distributed systems, telecommunications, and mathematical modeling, aiming to offer solutions to the problem of people’s overexposure to electro-magnetic fields (EMF) radiation. In this...

(This article belongs to the Special Issue Automatic Control and Soft Computing in Engineering)
  • Article
  • Open Access
7 Citations
2,514 Views
14 Pages

Inflated Unit-Birnbaum-Saunders Distribution

  • Guillermo Martínez-Flórez,
  • Roger Tovar-Falón and
  • Carlos Barrera-Causil

21 February 2022

The modeling different data behaviour like the human development index as a function of life expectancy, the water capacity of a reservoir with respect to a certain threshold, or the percentage of death rate of an infant before his or her first birth...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
16 Citations
3,347 Views
25 Pages

Impact of Advance Payments of Tax on Profit on Effectiveness of Investments

  • Tatiana Filatova,
  • Peter Brusov and
  • Natali Orekhova

21 February 2022

Recently Brusov et al. have developed innovative investment models that are very close to investment practice. Investment models with frequent payments of tax on profit and of interest on debt at the ends of periods have been considered. However, in...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
8 Citations
2,317 Views
14 Pages

20 February 2022

In the current paper, we first introduce a new class of contractions via a new notion called p-cyclic contraction mapping by combining the ideas of cyclic contraction mapping and p-contraction mapping. Then, we give a new definition of a cyclically 0...

  • Article
  • Open Access
3 Citations
4,366 Views
19 Pages

Color and Timbre Gestures: An Approach with Bicategories and Bigroupoids

  • Maria Mannone,
  • Giovanni Santini,
  • Esther Adedoyin and
  • Carmine E. Cella

20 February 2022

White light can be decomposed into different colors, and a complex sound wave can be decomposed into its partials. While the physics behind transverse and longitudinal waves is quite different and several theories have been developed to investigate t...

(This article belongs to the Special Issue Mathematics and Computation in Music)
  • Article
  • Open Access
13 Citations
3,972 Views
18 Pages

Towards Knowledge-Based Tourism Chinese Question Answering System

  • Jiahui Li,
  • Zhiyi Luo,
  • Hongyun Huang and
  • Zuohua Ding

20 February 2022

With the rapid development of the tourism industry, various travel websites are emerging. The tourism question answering system explores a large amount of information from these travel websites to answer tourism questions, which is critical for provi...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
10 Citations
2,477 Views
17 Pages

Distributed Fusion Estimation in Network Systems Subject to Random Delays and Deception Attacks

  • María Jesús García-Ligero,
  • Aurora Hermoso-Carazo and
  • Josefa Linares-Pérez

20 February 2022

This paper focuses on the distributed fusion estimation problem in which a signal transmitted over wireless sensor networks is subject to deception attacks and random delays. We assume that each sensor can suffer attacks that may corrupt and/or modif...

(This article belongs to the Special Issue Analysis and Comparison of Probabilistic Models)
  • Article
  • Open Access
13 Citations
3,608 Views
14 Pages

A Time-Delayed Deterministic Model for the Spread of COVID-19 with Calibration on a Real Dataset

  • Giovanni Nastasi,
  • Carla Perrone,
  • Salvatore Taffara and
  • Giorgia Vitanza

20 February 2022

During the evolution of the COVID-19 pandemic, each country has adopted different control measures to contrast the epidemic’s diffusion. Restrictions to mobility, public transport, and social life in general have been actuated to contain the sp...

  • Article
  • Open Access
1 Citations
2,596 Views
15 Pages

Analysis of Solutions, Asymptotic and Exact Profiles to an Eyring–Powell Fluid Modell

  • José Luis Díaz,
  • Saeed Ur Rahman,
  • Juan Carlos Sánchez Rodríguez,
  • María Antonia Simón Rodríguez,
  • Guillermo Filippone Capllonch and
  • Antonio Herrero Hernández

20 February 2022

The aim of this article was to provide analytical and numerical approaches to a one-dimensional Eyring–Powell flow. First of all, the regularity, existence, and uniqueness of the solutions were explored making use of a variational weak formulat...

(This article belongs to the Special Issue Applications of Partial Differential Equations)
  • Article
  • Open Access
2 Citations
3,318 Views
14 Pages

Modelling Deprivation Level and Multimorbidity in a Health District

  • María Pilar Botija Yagüe,
  • Sofía Sorbet-Santiago,
  • Javier Díaz-Carnicero,
  • Silvia González-de-Julián and
  • Ruth Usó-Talamantes

20 February 2022

Deprivation is associated with an increased risk of developing chronic health conditions and with worse outcomes in multimorbidity. The goal of our study was to develop an integrated population index of deprivation (IPID) to observe the influence of...

(This article belongs to the Special Issue Mathematical Prediction Models Applied to Health Management)
  • Article
  • Open Access
4 Citations
3,918 Views
12 Pages

20 February 2022

A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric. The cases when the giv...

(This article belongs to the Special Issue Geometry of Manifolds and Applications)
  • Article
  • Open Access
5 Citations
3,038 Views
26 Pages

20 February 2022

This paper addresses a batch loading and scheduling problem of minimizing the makespan on parallel batch processing machines. For batch loading, jobs with compatible families can be assigned to the same batch process even if they differ in size; howe...

(This article belongs to the Special Issue Recent Advances of Disсrete Optimization and Scheduling)
  • Article
  • Open Access
2 Citations
3,781 Views
15 Pages

On the Use of Quadrilateral Meshes for Enhanced Analysis of Waveguide Devices with Manhattan-Type Geometry Cross-Sections

  • Mohamad Hosein Rasekhmanesh,
  • Gines Garcia-Contreras,
  • Juan Córcoles and
  • Jorge A. Ruiz-Cruz

20 February 2022

This work addresses the suitability of using structured meshes composed of quadrilateral finite elements, instead of the classical unstructured meshes made of triangular elements. These meshes are used in the modal analysis of waveguides with Manhatt...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
14 Citations
3,709 Views
30 Pages

20 February 2022

In this paper, we consider a predator–prey model, in which the prey’s growth is affected by the additive predation of its potential predators. Due to the additive predation term in prey, the model may exhibit the cases of the strong Allee...

(This article belongs to the Special Issue Difference and Differential Equations and Applications)
  • Article
  • Open Access
3 Citations
2,998 Views
12 Pages

Runge-Kutta-Nyström Pairs of Orders 8(6) with Coefficients Trained to Perform Best on Classical Orbits

  • Houssem Jerbi,
  • Mohamed Omri,
  • Mourad Kchaou,
  • Theodore E. Simos and
  • Charalampos Tsitouras

19 February 2022

In this study, we consider eight stages per step family of explicit Runge-Kutta-Nyström pairs of orders eight and six. The pairs from this family effectively use eight stages for each step. The coefficients provided by such a method are much les...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing II)
  • Article
  • Open Access
9 Citations
4,738 Views
18 Pages

Prospective Primary Teachers’ Didactic-Mathematical Knowledge in a Service-Learning Project for Inclusion

  • Teresa F. Blanco,
  • Alejandro Gorgal-Romarís,
  • Cristina Núñez-García and
  • Pablo G. Sequeiros

19 February 2022

An analysis of the didactic-mathematical knowledge put into play by a sample of 30 prospective primary teachers during their participation in a Service-Learning program focused on mathematical stimulation as a measure of attention to adolescents at r...

(This article belongs to the Special Issue Effective Integration of the Affective Domain in the Teaching and Learning of Mathematics)
  • Article
  • Open Access
8 Citations
4,336 Views
26 Pages

Single-Image Super-Resolution Neural Network via Hybrid Multi-Scale Features

  • Wenfeng Huang,
  • Xiangyun Liao,
  • Lei Zhu,
  • Mingqiang Wei and
  • Qiong Wang

19 February 2022

In this paper, we propose an end-to-end single-image super-resolution neural network by leveraging hybrid multi-scale features of images. Different from most existing convolutional neural network (CNN) based solutions, our proposed network depends on...

(This article belongs to the Topic Machine and Deep Learning)
  • Article
  • Open Access
3 Citations
2,194 Views
10 Pages

19 February 2022

Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian Π-manifolds are introduced and studied. For the studied soliton, it is proved that its Ricci tensor is a constant multiple of the vertical component of both metrics....

(This article belongs to the Special Issue Geometry of Manifolds and Applications)
  • Article
  • Open Access
12 Citations
2,842 Views
13 Pages

19 February 2022

In this work, the effect of the fractional time derivative on the piezo-thermo-elastic medium is studied, using the hybrid Laplace transform and finite element methods (LFEM). The generalized fractional piezoelectric–thermoelastic basic equatio...

(This article belongs to the Special Issue Analytical and Computational Mechanics of Advanced Materials and Functional Structures)
  • Article
  • Open Access
5 Citations
2,009 Views
9 Pages

19 February 2022

In this article, the formulation of first-order approximate Mei symmetries and Mei invariants of the corresponding Lagrangian is presented. Theorems and determining equations are given to evaluate approximate Mei symmetries, as well as approximate fi...

(This article belongs to the Special Issue Partial Differential and Functional Differential Equations: Exact Solutions, Reductions, Symmetries, and Applications)
  • Article
  • Open Access
6 Citations
2,273 Views
15 Pages

19 February 2022

The distance between successive zeros of all solutions of first-order differential equations with several delays is studied in this work. Many new estimations for the upper bound of the distance between zeros are obtained. Our results improve many-we...

(This article belongs to the Special Issue Recent Advances in Oscillation Theory of Differential Equations: Problems, Solutions and Applications)
  • Article
  • Open Access
4 Citations
3,119 Views
8 Pages

19 February 2022

In this paper, we obtain some new natural approaches of Shafer-Fink inequality for arc sine function and the square of arc sine function by using the power series expansions of certain functions, which generalize and strengthen those in the existing...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
2 Citations
3,362 Views
14 Pages

Incorporating Phrases in Latent Query Reformulation for Multi-Hop Question Answering

  • Jiuyang Tang,
  • Shengze Hu,
  • Ziyang Chen,
  • Hao Xu and
  • Zhen Tan

19 February 2022

In multi-hop question answering (MH-QA), the machine needs to infer the answer to a given question from multiple documents. Existing models usually apply entities as basic units in the reasoning path. Then they use relevant entities (in the same sent...

(This article belongs to the Special Issue Advances in Machine Learning Methods for Natural Language Processing and Computational Linguistics)
  • Article
  • Open Access
6 Citations
3,884 Views
16 Pages

The Next Generation of Edutainment Applications for Young Children—A Proposal

  • Adriana-Mihaela Guran,
  • Grigoreta-Sofia Cojocar and
  • Laura-Silvia Dioşan

19 February 2022

Edutainment applications are a type of software that is designed to be entertaining while also being educational. In the current COVID-19 pandemic context, when children have to stay home due to the social distancing rules, edutainment applications f...

(This article belongs to the Special Issue Computational Intelligence and Human–Computer Interaction: Modern Methods and Applications)
  • Article
  • Open Access
3 Citations
2,951 Views
10 Pages

19 February 2022

We address two mathematical aspects of the Biró–Néda dynamical model, recently applied in the statistical analysis of several and varied complex phenomena. First, we show that a given implicit assumption ceases to be valid outside...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
12 Citations
3,684 Views
18 Pages

Development of Parallel Algorithms for Intelligent Transportation Systems

  • Boris Chetverushkin,
  • Antonina Chechina,
  • Natalia Churbanova and
  • Marina Trapeznikova

19 February 2022

This paper deals with the creation of parallel algorithms implementing macro-and microscopic traffic flow models on modern supercomputers. High-performance computing contributes to the development of intelligent transportation systems based on inform...

(This article belongs to the Special Issue Numerical Methods and Algorithms Applied in Intelligent Transportation Systems)
  • Article
  • Open Access
26 Citations
5,856 Views
24 Pages

18 February 2022

In the process of policy financing guaranteeing help to SMEs to make innovations in green technologies, multiple parties continue to play strategic games for their interests. Evolutionary game theory is a practical tool for analyzing multi-agent stra...

(This article belongs to the Special Issue Data Mining: Analysis and Applications)
  • Article
  • Open Access
1 Citations
4,154 Views
11 Pages

18 February 2022

The variety of electromagnetic impedance boundaries is wide since the impedance boundary condition can have a two-dimensional matrix nature. In this article, a particular class of impedance boundary conditions is treated: a boundary condition that pr...

(This article belongs to the Special Issue Analytical Methods in Wave Scattering and Diffraction)
  • Article
  • Open Access
2 Citations
4,060 Views
19 Pages

The Domatic Partition Problem in Separable Graphs

  • Mercedes Landete and
  • José Luis Sainz-Pardo

18 February 2022

The domatic partition problem consists of partitioning a given graph into a maximum number of disjoint dominating sets. This problem is related with the domatic number problem, which consists of quantifying this maximum number of disjoint dominating...

  • Article
  • Open Access
3 Citations
2,216 Views
15 Pages

18 February 2022

In this paper, first, we give a definition of Besicovitch almost periodic functions by using the Bohr property and the Bochner property, respectively; study some basic properties of Besicovitch almost periodic functions, including composition theorem...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
9 Citations
2,733 Views
20 Pages

Multiple Impinging Jet Cooling of a Wavy Surface by Using Double Porous Fins under Non-Uniform Magnetic Field

  • Lioua Kolsi,
  • Fatih Selimefendigil,
  • Kaouther Ghachem,
  • Talal Alqahtani and
  • Salem Algarni

18 February 2022

Coupled effects of double porous fins and inhomogeneous magnetic field on the cooling performance of multiple nanojet impingement for a corrugated surface were numerically analyzed. Different values of magnetic field parameters (strength, inclination...

(This article belongs to the Special Issue Computational Fluid Dynamics II)
  • Article
  • Open Access
1 Citations
2,162 Views
25 Pages

18 February 2022

The interrelations of Triebel–Lizorkin spaces on smooth domains of Euclidean space Rn are well-established, whereas only partial results are known for the non-smooth domains. In this paper, Ω is a non-smooth domain of Rn that is bounded a...

(This article belongs to the Special Issue Recent Developments of Function Spaces and Their Applications I)
  • Article
  • Open Access
4 Citations
1,975 Views
6 Pages

18 February 2022

Under mild conditions, strong consistency of the Bayes estimator of the density is proved. Moreover, the Bayes risk (for some common loss functions) of the Bayes estimator of the density (i.e., the posterior predictive density) goes to zero as the sa...

(This article belongs to the Special Issue Probability Theory and Stochastic Modeling with Applications)
  • Article
  • Open Access
34 Citations
5,661 Views
19 Pages

Objective Criticism and Negative Conclusions on Using the Fuzzy SWARA Method in Multi-Criteria Decision Making

  • Željko Stević,
  • Dillip Kumar Das,
  • Rade Tešić,
  • Marijo Vidas and
  • Dragan Vojinović

18 February 2022

The quality of output or decision-making depends on high-quality input data, their adequate evaluation, the application of adequate approaches, and accurate calculation. In this paper, an objective criticism of applying the fuzzy SWARA (step-wise wei...

(This article belongs to the Special Issue Recent Advances in Multiple Criteria Decision Making Approaches)
  • Article
  • Open Access
9 Citations
3,026 Views
13 Pages

18 February 2022

In this paper, a rumor-spreading model with Holling type III functional response was established. The existence of the equilibrium points was discussed. According to the Routh–Hurwitz criteria, the locally asymptotic stability of the equilibriu...

(This article belongs to the Special Issue Nonlinear Dynamics and Chaos Theory)
  • Article
  • Open Access
3 Citations
5,112 Views
24 Pages

18 February 2022

Quote volatility is important in determining the cost of demand in a high frequency (HF) order market. This paper proposes a new model to measure quote volatility based on the point process and price-change duration. Specifically, we built a change-p...

(This article belongs to the Special Issue Mathematical and Statistical Methods Applications in Finance)
  • Article
  • Open Access
6 Citations
2,793 Views
10 Pages

Soliton-Type Equations on a Riemannian Manifold

  • Nasser Bin Turki,
  • Adara M. Blaga and
  • Sharief Deshmukh

18 February 2022

We study some particular cases of soliton-type equations on a Riemannian manifold. We give an estimation of the first nonzero eigenvalue of the Laplace operator and provide necessary and sufficient conditions for the manifold to be isometric to a sph...

(This article belongs to the Special Issue Geometry of Manifolds and Applications)
  • Article
  • Open Access
1 Citations
2,059 Views
17 Pages

18 February 2022

The purpose of this study is to establish Liouville-type results for a three-dimensional incompressible, unsteady flow described by the Eyring–Powell fluid equations. The fluid is studied in a plane Ωp while it moves along the z-axis. The...

(This article belongs to the Special Issue Mathematical Dynamic Flow Models)
  • Article
  • Open Access
16 Citations
3,993 Views
18 Pages

18 February 2022

The resilient strategy of logistics service supply chains with government participation is not only an effective measure for manufacturers and integrators to lower the risks but also an important component of the modern risk management capability of...

  • Article
  • Open Access
13 Citations
4,022 Views
18 Pages

18 February 2022

The modern logistics industry in relation to economic growth and carbon emission has opened new strategic perspectives. Recent research work have analyzed such complex interference from a broad perspective. However, analyzing this overlap needs compr...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
19 Citations
3,598 Views
19 Pages

17 February 2022

Accurate, rapid and effective analysis of rock drillability is very important for mining, civil and petroleum engineering. In this study, a method of rock drillability evaluation based on drilling process monitoring (DPM) parameters is proposed by us...

(This article belongs to the Special Issue Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics)
  • Article
  • Open Access
18 Citations
3,666 Views
23 Pages

17 February 2022

Cardiac disease diagnosis and identification is problematic mostly by inaccurate segmentation of the cardiac left ventricle (LV). Besides, LV segmentation is challenging since it involves complex and variable cardiac structures in terms of components...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
9 Citations
3,211 Views
23 Pages

17 February 2022

This study develops a new integrated approach for improving deficiencies relating to executives’ intuitive or illogical decisions, mainly found in past intellectual capital management (ICM) methods. To simultaneously rectify several flaws, the...

(This article belongs to the Special Issue Multi-Criteria Decision Making and Data Mining)
  • Article
  • Open Access
17 Citations
2,732 Views
15 Pages

17 February 2022

This study is concerned with dynamical investigation, electrical circuit realization, and emulation of a fractional three-echelon supply chain system. In the financial realm, long-term memory effects play important roles. On the other hand, most fina...

(This article belongs to the Special Issue Application of Mathematical Analysis and Models to Financial Economics)
  • Article
  • Open Access
2 Citations
3,185 Views
20 Pages

Nonparametric Estimation of the Density Function of the Distribution of the Noise in CHARN Models

  • Joseph Ngatchou-Wandji,
  • Marwa Ltaifa,
  • Didier Alain Njamen Njomen and
  • Jia Shen

17 February 2022

This work is concerned with multivariate conditional heteroscedastic autoregressive nonlinear (CHARN) models with an unknown conditional mean function, conditional variance matrix function and density function of the distribution of noise. We study t...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
6 Citations
2,460 Views
29 Pages

17 February 2022

Two new inertial-type extragradient methods are proposed to find a numerical common solution to the variational inequality problem involving a pseudomonotone and Lipschitz continuous operator, as well as the fixed point problem in real Hilbert spaces...

(This article belongs to the Special Issue New Advances in Functional Analysis)

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Mathematics - ISSN 2227-7390