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Mathematics, Volume 10, Issue 10

2022 May-2 - 170 articles

Cover Story: A spatio-temporal variogram is an important factor in spatio-temporal prediction through kriging, especially in fields such as environmental sustainability or climate change. However, the traditional spatio-temporal variogram estimator, which is commonly employed for these purposes, is extremely sensitive to outliers. We approach this problem in two ways in this paper: First, new robust spatio-temporal variogram estimators are introduced, which are defined as M-estimators of an original data transformation. Second, we compare the classical estimate against a robust one, identifying spatio-temporal outliers in this way. To accomplish this, we use a multivariate scale-contaminated normal model to produce reliable approximations for the sample distribution of these new estimators. View this paper
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Articles (170)

  • Article
  • Open Access
8 Citations
2,797 Views
12 Pages

New Monotonic Properties of Positive Solutions of Higher-Order Delay Differential Equations and Their Applications

  • Ali Muhib,
  • Osama Moaaz,
  • Clemente Cesarano,
  • Shami A. M. Alsallami and ,
  • Sayed Abdel-Khalek and
  • Abd Elmotaleb A. M. A. Elamin
  • + 1 author+ 0 author

23 May 2022

In this work, new criteria were established for testing the oscillatory behavior of solutions of a class of even-order delay differential equations. We follow an approach that depends on obtaining new monotonic properties for the decreasing positive...

(This article belongs to the Special Issue Recent Advances in Differential Equations and Applications)
  • Article
  • Open Access
5 Citations
3,570 Views
17 Pages

23 May 2022

The spatio-temporal variogram is an important factor in spatio-temporal prediction through kriging, especially in fields such as environmental sustainability or climate change, where spatio-temporal data analysis is based on this concept. However, th...

(This article belongs to the Special Issue Probability Theory and Stochastic Modeling with Applications)
  • Article
  • Open Access
10 Citations
3,348 Views
17 Pages

23 May 2022

The solution of the complex neutron diffusion equations system of equations in a spherical nuclear reactor is presented using the homotopy perturbation method (HPM); the HPM is a remarkable approximation method that successfully solves different syst...

(This article belongs to the Topic Multi-Energy Systems)
  • Feature Paper
  • Article
  • Open Access
1 Citations
2,927 Views
12 Pages

23 May 2022

The strong predictable representation property of semi-martingales and the notion of enlargement of filtration meet naturally in modeling financial markets, and theoretical problems arise. Here, first, we illustrate some of them through classical exa...

(This article belongs to the Special Issue Information in Economics, Finance and Insurance: Modelling and Applications)
  • Article
  • Open Access
19 Citations
3,914 Views
15 Pages

RST Digital Robust Control for DC/DC Buck Converter Feeding Constant Power Load

  • Akram M. Abdurraqeeb,
  • Abdullrahman A. Al-Shamma’a,
  • Abdulaziz Alkuhayli,
  • Abdullah M. Noman and
  • Khaled E. Addoweesh

23 May 2022

The instability of DC microgrids is the most prominent problem that limits the expansion of their use, and one of the most important causes of instability is constant power load CPLs. In this paper, a robust RST digital feedback controller is propose...

(This article belongs to the Special Issue Dynamic Modeling and Simulation for Control Systems)
  • Article
  • Open Access
6 Citations
2,552 Views
19 Pages

23 May 2022

Summarization of a long time series often occurs in analytical applications related to decision-making, modeling, planning, and so on. Informally, summarization aims at discovering a small-sized set of typical patterns (subsequences) to briefly repre...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
5 Citations
6,658 Views
15 Pages

Advanced Control Algorithm for FADEC Systems in the Next Generation of Turbofan Engines to Minimize Emission Levels

  • Majid Aghasharifian Esfahani,
  • Mohammadmehdi Namazi,
  • Theoklis Nikolaidis and
  • Soheil Jafari

23 May 2022

New propulsion systems in aircrafts must meet strict regulations and emission limitations. The Flightpath 2050 goals set by the Advisory Council for Aviation Research and Innovation in Europe (ACARE) include reductions of 75%, 90%, and 65% in CO2, NO...

  • Feature Paper
  • Article
  • Open Access
2 Citations
3,542 Views
17 Pages

Multicriteria Analytical Model for Mechanical Integrity Prognostics of Reactor Pressure Vessels Manufactured from Forged and Rolled Steels

  • Alvaro Rodríguez-Prieto,
  • Manuel Callejas,
  • Ernesto Primera,
  • Guglielmo Lomonaco and
  • Ana María Camacho

23 May 2022

The aim of this work is to present a new analytical model to evaluate jointly the mechanical integrity and the fitness-for-service of nuclear reactor pressure-vessels steels. This new methodology integrates a robust and regulated irradiation embrittl...

(This article belongs to the Special Issue Mathematical Modelling and Multi-Criteria Optimisation in Engineering)
  • Article
  • Open Access
4 Citations
2,606 Views
17 Pages

23 May 2022

The cutterhead torque and thrust, reflecting the obstruction degree of the geological environment and the behavior of excavation, are the key operating parameters for the tunneling of tunnel boring machines (TBMs). In this paper, a hybrid hidden Mark...

(This article belongs to the Special Issue Mathematical Method and Application of Machine Learning)
  • Article
  • Open Access
3 Citations
3,174 Views
18 Pages

Bayesian Networks for Preprocessing Water Management Data

  • Rosa Fernández Ropero,
  • María Julia Flores and
  • Rafael Rumí

23 May 2022

Environmental data often present inconveniences that make modeling tasks difficult. During the phase of data collection, two problems were found: (i) a block of five months of data was unavailable, and (ii) no information was collected from the coast...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
47 Citations
9,069 Views
23 Pages

DEA and Machine Learning for Performance Prediction

  • Zhishuo Zhang,
  • Yao Xiao and
  • Huayong Niu

23 May 2022

Data envelopment analysis (DEA) has been widely applied to evaluate the performance of banks, enterprises, governments, research institutions, hospitals, and other fields as a non-parametric estimation method for evaluating the relative effectiveness...

(This article belongs to the Special Issue Quantitative Analysis and DEA Modeling in Applied Economics)
  • Article
  • Open Access
1 Citations
2,718 Views
21 Pages

Mathematical Simulation of Heat Transfer in Thermally Magnetised Oldroyd-B Fluid in Sakiadis Rheology with a Heat Reservoir

  • Zeeshan,
  • Rasool Shah,
  • Waris Khan,
  • Essam R. El-Zahar and ,
  • Se-Jin Yook and
  • Nehad Ali Shah
  • + 1 author+ 0 author

23 May 2022

Sakiadis rheology of a generalised polymeric material, as well as a heat source or sink and a magnetic field, are all part of this study. Thermal radiations have been introduced into the convective heating process. The translation of a physical situa...

(This article belongs to the Special Issue Mathematics and Engineering II)
  • Article
  • Open Access
5 Citations
4,103 Views
32 Pages

23 May 2022

This paper investigates the possibility of using the global VAR (GVAR) model to estimate a simple New Keynesian DSGE-type multi-country model. The long-run forecasts from an estimated GVAR model were used to calculate the steady-states of macro varia...

(This article belongs to the Special Issue Mathematical Financial Econometrics: Non-normal Distributions and Risk Forecasting)
  • Article
  • Open Access
8 Citations
2,954 Views
14 Pages

A Discrete Dynamics Approach to a Tumor System

  • Tareq Saeed,
  • Kamel Djeddi,
  • Juan L. G. Guirao,
  • Hamed H. Alsulami and
  • Mohammed Sh. Alhodaly

23 May 2022

In this paper, we present a cancer system in a continuous state as well as some numerical results. We present discretization methods, e.g., the Euler method, the Taylor series expansion method, and the Runge–Kutta method, and apply them to the...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
9 Citations
3,286 Views
27 Pages

23 May 2022

As COVID-19 continues to threaten public health around the world, research on specific vaccines has been underway. In this paper, we establish an SVIR model on booster vaccination with two time delays. The time delays represent the time of booster va...

(This article belongs to the Special Issue Recent Advances in Theory and Application of Dynamical Systems)
  • Article
  • Open Access
31 Citations
3,647 Views
17 Pages

23 May 2022

In this paper, some myths associated to the initial condition problem are studied and demystified. It is shown that the initial conditions provided by the one-sided Laplace transform are not those required for Riemann-Liouville and Caputo derivatives...

(This article belongs to the Special Issue Fractional Integrals and Derivatives: “True” versus “False” II)
  • Article
  • Open Access
24 Citations
3,004 Views
13 Pages

Introducing a Precise System for Determining Volume Percentages Independent of Scale Thickness and Type of Flow Regime

  • Abdulilah Mohammad Mayet,
  • Seyed Mehdi Alizadeh,
  • Zana Azeez Kakarash,
  • Ali Awadh Al-Qahtani and ,
  • Abdullah K. Alanazi,
  • Hala H. Alhashimi,
  • Ehsan Eftekhari-Zadeh and
  • Ehsan Nazemi
  • + 3 authors+ 0 author

23 May 2022

When fluids flow into the pipes, the materials in them cause deposits to form inside the pipes over time, which is a threat to the efficiency of the equipment and their depreciation. In the present study, a method for detecting the volume percentage...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
2 Citations
2,377 Views
10 Pages

The Best Ulam Constant of the Fréchet Functional Equation

  • Irina Opraie,
  • Dorian Popa and
  • Liana Timboş

22 May 2022

In this paper, we prove the Ulam stability of the Fréchet functional equation f(x+y+z)+f(x)+f(y)+f(z)=f(x+y)+f(y+z)+f(z+x) arising from the characterization of inner product spaces and we determine its best Ulam constant. Using this result, we...

(This article belongs to the Special Issue Mathematical Inequalities, Models and Applications)
  • Article
  • Open Access
2 Citations
2,021 Views
15 Pages

An Approach to Assessing Spatial Coherence of Current and Voltage Signals in Electrical Networks

  • Pavel Ilyushin,
  • Aleksandr Kulikov,
  • Konstantin Suslov and
  • Sergey Filippov

22 May 2022

In the context of energy industry decentralization, electrical networks encounter deviations of power quality indices (PQI), including violations of the sinusoidality of current and voltage signals, which increase errors in the joint digital processi...

(This article belongs to the Special Issue Model Predictive Control and Optimization for Cyber-Physical Systems)
  • Article
  • Open Access
5 Citations
4,950 Views
20 Pages

22 May 2022

Alzheimer’s Disease (AD) is a highly prevalent condition and most of the people suffering from it receive the diagnosis late in the process. The diagnosis is currently established following an evaluation of the protein biomarkers in cerebrospin...

(This article belongs to the Special Issue Application of Advanced Computing and Artificial Intelligence in Engineering and Science)
  • Article
  • Open Access
1 Citations
3,765 Views
19 Pages

22 May 2022

In this paper, we compute a (local) optimal reduced order model that matches a prescribed set of moments of a stable linear time-invariant system of high dimension. We fix the interpolation points and parametrize the models achieving moment-matching...

(This article belongs to the Topic Dynamical Systems: Theory and Applications)
  • Article
  • Open Access
2 Citations
3,717 Views
32 Pages

22 May 2022

In this paper, we consider the two-player state and control path-dependent stochastic zero-sum differential game. In our problem setup, the state process, which is controlled by the players, is dependent on (current and past) paths of state and contr...

(This article belongs to the Special Issue Stochastic Processes and Their Applications)
  • Article
  • Open Access
2 Citations
4,367 Views
16 Pages

21 May 2022

In industrial engineering degrees in Spain, mathematics subjects are usually taught during the first two academic years. Consequently, it is often the case that students sometimes do not feel motivated to learn subjects such as Mathematics II (calcul...

(This article belongs to the Special Issue Mathematics and Its Applications in Science and Engineering)
  • Article
  • Open Access
11 Citations
4,444 Views
17 Pages

Intent-Controllable Citation Text Generation

  • Shing-Yun Jung,
  • Ting-Han Lin,
  • Chia-Hung Liao,
  • Shyan-Ming Yuan and
  • Chuen-Tsai Sun

21 May 2022

We study the problem of controllable citation text generation by introducing a new concept to generate citation texts. Citation text generation, as an assistive writing approach, has drawn a number of researchers’ attention. However, current re...

(This article belongs to the Special Issue Advances in Machine Learning Methods for Natural Language Processing and Computational Linguistics)
  • Article
  • Open Access
27 Citations
5,599 Views
22 Pages

Simulation and State Feedback Control of a Pressure Swing Adsorption Process to Produce Hydrogen

  • Mario Martínez García,
  • Jesse Y. Rumbo Morales,
  • Gerardo Ortiz Torres,
  • Salvador A. Rodríguez Paredes and ,
  • Sebastián Vázquez Reyes,
  • Felipe de J. Sorcia Vázquez,
  • Alan F. Pérez Vidal,
  • Jorge S. Valdez Martínez,
  • Ricardo Pérez Zúñiga and
  • Erasmo M. Renteria Vargas
  • + 5 authors+ 0 author

21 May 2022

One of the separation processes used for the production and purification of hydrogen is molecular sieve adsorption using the Pressure Swing Adsorption (PSA) method. The process uses two beds containing activated carbon and a sequence of four steps (a...

(This article belongs to the Special Issue Numerical Simulation and Control in Energy Systems)
  • Article
  • Open Access
5 Citations
3,803 Views
14 Pages

An Efficient Computational Technique for the Electromagnetic Scattering by Prolate Spheroids

  • Ludovica Tognolatti,
  • Cristina Ponti,
  • Massimo Santarsiero and
  • Giuseppe Schettini

21 May 2022

In this paper we present an efficient Matlab computation of a 3-D electromagnetic scattering problem, in which a plane wave impinges with a generic inclination onto a conducting ellipsoid of revolution. This solid is obtained by the rotation of an el...

(This article belongs to the Special Issue Analytical Methods in Wave Scattering and Diffraction)
  • Article
  • Open Access
11 Citations
2,885 Views
17 Pages

A Fuzzy Simheuristic for the Permutation Flow Shop Problem under Stochastic and Fuzzy Uncertainty

  • Juliana Castaneda,
  • Xabier A. Martin,
  • Majsa Ammouriova,
  • Javier Panadero and
  • Angel A. Juan

21 May 2022

Stochastic, as well as fuzzy uncertainty, can be found in most real-world systems. Considering both types of uncertainties simultaneously makes optimization problems incredibly challenging. In this paper, we analyze the permutation flow shop problem...

(This article belongs to the Special Issue Applications of Mathematical Methods and Fuzzy Techniques in Decision Making)
  • Article
  • Open Access
5 Citations
2,281 Views
15 Pages

21 May 2022

The exact conditions sufficient for the unique solvability of the initial value problem for a system of linear fractional functional differential equations determined by isotone operators are established. In a sense, the conditions obtained are optim...

(This article belongs to the Special Issue Nonlinear Equations: Theory, Methods, and Applications II)
  • Article
  • Open Access
22 Citations
3,255 Views
20 Pages

21 May 2022

We derive the solvability conditions and a formula of a general solution to a Sylvester-type matrix equation over Hamilton quaternions. As an application, we investigate the necessary and sufficient conditions for the solvability of the quaternion ma...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
4 Citations
3,536 Views
15 Pages

21 May 2022

We consider the wholesale electricity market prices in England and Wales during its complete history, where price-cap regulation and divestment series were introduced at different points in time. We compare the impact of these regulatory reforms on t...

(This article belongs to the Special Issue Probability Distributions and Their Applications)
  • Article
  • Open Access
6 Citations
2,723 Views
22 Pages

21 May 2022

In this study, we analytically solved the thermal stress problem of a bimodular functionally graded bending beam under arbitrary temperature rise modes. First, based on the strain suppression method in a one-dimensional case, we obtained the thermal...

(This article belongs to the Special Issue Analytical and Numerical Methods for Linear and Nonlinear Analysis of Structures at Macro, Micro and Nano Scale)
  • Article
  • Open Access
1 Citations
2,568 Views
14 Pages

Topology Identification of Time-Scales Complex Networks

  • Yong Pei,
  • Churong Chen and
  • Dechang Pi

21 May 2022

This paper studies a topology identification problem of complex networks with dynamics on different time scales. Using the adaptive synchronization method, some criteria for a successful estimation are obtained. In particular, by regulating the origi...

(This article belongs to the Topic Complex Systems and Network Science)
  • Article
  • Open Access
32 Citations
8,450 Views
14 Pages

21 May 2022

The accuracy of short-term traffic flow prediction is one of the important issues in the construction of smart cities, and it is an effective way to solve the problem of traffic congestion. Most previous studies could not effectively mine the potenti...

  • Article
  • Open Access
2 Citations
2,733 Views
9 Pages

Analytical and Numerical Monotonicity Analyses for Discrete Delta Fractional Operators

  • Kamsing Nonlaopon,
  • Pshtiwan Othman Mohammed,
  • Y. S. Hamed,
  • Rebwar Salih Muhammad and ,
  • Aram Bahroz Brzo and
  • Hassen Aydi
  • + 1 author+ 0 author

20 May 2022

In this paper, first, we intend to determine the relationship between the sign of Δc0βy(c0+1), for 1<β<2, and Δy(c0+1)>0, in the case we assume that Δc0βy(c0+1) is negative. After that, by considering the set...

(This article belongs to the Special Issue Fractional Calculus and Mathematical Applications)
  • Article
  • Open Access
9 Citations
2,346 Views
14 Pages

20 May 2022

We consider the Stokes problem with the homogeneous Dirichlet boundary condition in a polygonal domain with one re-entrant corner on its boundary. We define an Rν-generalized solution of the problem in a nonsymmetric variational formulation. Such...

(This article belongs to the Special Issue Differential Equations of Mathematical Physics and Related Problems of Mechanics)
  • Article
  • Open Access
10 Citations
2,329 Views
29 Pages

20 May 2022

Equilibrium problems are articulated in a variety of mathematical computing applications, including minimax and numerical programming, saddle-point problems, fixed-point problems, and variational inequalities. In this paper, we introduce improved ite...

(This article belongs to the Special Issue Applied Functional Analysis and Applications)
  • Article
  • Open Access
111 Citations
13,273 Views
10 Pages

Spatial Channel Attention for Deep Convolutional Neural Networks

  • Tonglai Liu,
  • Ronghai Luo,
  • Longqin Xu,
  • Dachun Feng and ,
  • Liang Cao,
  • Shuangyin Liu and
  • Jianjun Guo
  • + 2 authors+ 0 author

20 May 2022

Recently, the attention mechanism combining spatial and channel information has been widely used in various deep convolutional neural networks (CNNs), proving its great potential in improving model performance. However, this usually uses 2D global po...

(This article belongs to the Special Issue Deep Learning and Adaptive Control)
  • Article
  • Open Access
3,574 Views
23 Pages

Epistemic Configurations and Holistic Meaning of Binomial Distribution

  • Nicolás Alonso Fernández Coronado,
  • Jaime I. García-García,
  • Elizabeth H. Arredondo and
  • Ismael Andrés Araya Naveas

20 May 2022

The competencies that today’s citizen must possess have led to a transformation of the teaching of probability, which has been repositioned on the school curriculum from an algorithmic view to a practical one based on the understanding of the c...

  • Article
  • Open Access
29 Citations
3,312 Views
23 Pages

Design of Aquila Optimization Heuristic for Identification of Control Autoregressive Systems

  • Khizer Mehmood,
  • Naveed Ishtiaq Chaudhary,
  • Zeshan Aslam Khan,
  • Muhammad Asif Zahoor Raja and ,
  • Khalid Mehmood Cheema and
  • Ahmad H. Milyani
  • + 1 author+ 0 author

20 May 2022

Swarm intelligence-based metaheuristic algorithms have attracted the attention of the research community and have been exploited for effectively solving different optimization problems of engineering, science, and technology. This paper considers the...

(This article belongs to the Special Issue Metaheuristic Algorithms)
  • Article
  • Open Access
3,719 Views
20 Pages

20 May 2022

The Economic Society of Friends of the Country of Asturias, Spain, was an instrument of enlightened reformism which operated in a region with serious economic backwardness. It was born in 1780 at the initiative of Campomanes and responds to the Matri...

(This article belongs to the Special Issue New Advances in Mathematics Education and Mathematics History)
  • Article
  • Open Access
7 Citations
4,474 Views
21 Pages

Analytic Expressions for Debye Functions and the Heat Capacity of a Solid

  • Ivan Gonzalez,
  • Igor Kondrashuk,
  • Victor H. Moll and
  • Alfredo Vega

20 May 2022

Analytic expressions for the N-dimensional Debye function are obtained by the method of brackets. The new expressions are suitable for the study of heat capacity of solids and the analysis of the asymptotic behavior of this function, both in the high...

(This article belongs to the Special Issue Partial Differential Equations and Applications)
  • Article
  • Open Access
36 Citations
2,588 Views
16 Pages

20 May 2022

The mechanical parameters of surrounding rock are an essential basis for roadway excavation and support design. Aiming at the difficulty in obtaining the mechanical parameters of surrounding rock and large experimental errors, the optimized BP neural...

(This article belongs to the Special Issue Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics)
  • Article
  • Open Access
11 Citations
2,644 Views
24 Pages

19 May 2022

In the software development life cycle, the quality and reliability of software are critical to software developers. Poor quality and reliability not only cause the loss of customers and sales but also increase the operational risk due to unreliable...

  • Article
  • Open Access
16 Citations
4,186 Views
20 Pages

19 May 2022

The problem of optimizing an objective function that exists within the constraints of equality and inequality is addressed by nonlinear programming (NLP). A linear program exists if all of the functions are linear; otherwise, the problem is referred...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
2,037 Views
14 Pages

19 May 2022

The inverse and ill-posed problem of determining a solute concentration for the two-dimensional nonhomogeneous fractional diffusion equation is investigated. This model is much worse than its homogeneous counterpart as the source term appears. We pro...

  • Article
  • Open Access
3 Citations
2,707 Views
23 Pages

19 May 2022

In classical statistics, the primary test statistic is the likelihood ratio. However, for high dimensional data, the likelihood ratio test is no longer effective and sometimes does not work altogether. By replacing the maximum likelihood with the int...

(This article belongs to the Special Issue Multivariate Statistics: Theory and Its Applications)
  • Feature Paper
  • Article
  • Open Access
1 Citations
2,665 Views
6 Pages

A New Bound in the Littlewood–Offord Problem

  • Friedrich Götze and
  • Andrei Yu. Zaitsev

19 May 2022

The paper deals with studying a connection of the Littlewood–Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions. It is shown that the concentration function of a weighted sum of indep...

(This article belongs to the Special Issue Limit Theorems of Probability Theory)
  • Article
  • Open Access
5 Citations
3,910 Views
21 Pages

Scalable Visible Light Indoor Positioning System Using RSS

  • Carlos M. Avendaño-Lopez,
  • Rogelio Castro-Sanchez,
  • Dora L. Almanza-Ojeda,
  • Juan Gabriel Avina-Cervantes and ,
  • Miguel A. Gomez-Martinez and
  • Mario A. Ibarra-Manzano
  • + 1 author+ 0 author

19 May 2022

This paper proposes a visible light positioning system that utilizes commercial Light-Emitting Diode (LED) lamps as transmitters and Silicon PIN photodiodes as receivers. The light signals are transmitted and received using Intensity Modulation and D...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
1 Citations
2,432 Views
22 Pages

19 May 2022

In the distributed storage system, when data need to be recovered after node failure, the erasure code redundancy method occupies less storage space than the multi-copy method. At present, the repair mechanism using erasure code to reconstruct the fa...

(This article belongs to the Special Issue Evolutionary Computation for Deep Learning and Machine Learning)
  • Article
  • Open Access
1 Citations
3,413 Views
17 Pages

19 May 2022

The MapReduce architecture can reliably distribute massive datasets to cloud worker nodes for processing. When each worker node processes the input data, the Map program generates intermediate data that are used by the Reduce program for integration....

(This article belongs to the Special Issue Intelligent Computing in Industry Applications)

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Mathematics - ISSN 2227-7390