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Mathematics, Volume 8, Issue 12

2020 December - 163 articles

Cover Story: In the oscillatory regime, inverse methods are required to unveil the time course of the synaptic conductance gsyn(t). We propose a three-step strategy: (1) fit data of a measurable quantity (e.g., the membrane potential v(t)) to a reference model, (2) approximate the period–conductance relationship (T–g curve) associated to the model, and (3) for each interspike time period, estimate gsyn from the T–g curve. View this paper.
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Articles (163)

  • Article
  • Open Access
2 Citations
2,750 Views
11 Pages

Risk Appetite and Jumps in Realized Correlation

  • Riza Demirer,
  • Konstantinos Gkillas,
  • Christos Kountzakis and
  • Amaryllis Mavragani

21 December 2020

This paper examines the role of non-cash flow factors over correlation jumps in financial markets. Utilizing time-varying risk aversion measure as a proxy for investor sentiment and the cross-quantilogram method applied to intraday data, we show that...

(This article belongs to the Special Issue Financial Modeling)
  • Article
  • Open Access
21 Citations
2,474 Views
23 Pages

21 December 2020

The existence, uniqueness and uniformly Lp estimates for solutions of a high-order abstract Navier–Stokes problem on half space are derived. The equation involves an abstract operator in a Banach space E and small parameters. Since the Banach s...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
19 Citations
6,715 Views
20 Pages

21 December 2020

Algebraic thinking, combinatorial thinking and reasoning skills are considered as playing central roles within teaching and learning in the field of mathematics, particularly in solving complex open-ended mathematical problems Specific relations betw...

(This article belongs to the Special Issue Futuring Mathematics Education—Core Teaching Practices to Prepare Students for the 21st Century: An International Perspective)
  • Article
  • Open Access
28 Citations
9,642 Views
17 Pages

Auto-Colorization of Historical Images Using Deep Convolutional Neural Networks

  • Madhab Raj Joshi,
  • Lewis Nkenyereye,
  • Gyanendra Prasad Joshi,
  • S. M. Riazul Islam and ,
  • Mohammad Abdullah-Al-Wadud and
  • Surendra Shrestha
  • + 1 author+ 0 author

21 December 2020

Enhancement of Cultural Heritage such as historical images is very crucial to safeguard the diversity of cultures. Automated colorization of black and white images has been subject to extensive research through computer vision and machine learning te...

(This article belongs to the Special Issue Mathematical Approaches to Image Processing with Applications)
  • Article
  • Open Access
47 Citations
5,655 Views
29 Pages

Picture Fuzzy MCDM Approach for Risk Assessment of Railway Infrastructure

  • Vladimir Simić,
  • Radovan Soušek and
  • Stefan Jovčić

21 December 2020

To increase the level of safety and prevent significant accidents, it is essential to prioritize risk factors and assess railway infrastructure. The key question is how to identify unsafe railway infrastructure so authorities can undertake safety imp...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Review
  • Open Access
35 Citations
4,257 Views
35 Pages

21 December 2020

Evaluation of images of special functions under operators of fractional calculus has become a hot topic with hundreds of recently published papers. These are growing daily and we are able to comment here only on a few of them, including also some of...

(This article belongs to the Special Issue Fractional Integrals and Derivatives: “True” versus “False”)
  • Article
  • Open Access
11 Citations
14,098 Views
15 Pages

21 December 2020

The aim of this paper is to extend, from group theory to hypergroup theory, the class equation and the concept of commutativity degree. Both of them are studied in depth for complete hypergroups because we want to stress the similarities and the diff...

  • Article
  • Open Access
5 Citations
2,867 Views
19 Pages

21 December 2020

This paper presents an adaptive filtering-based maximum likelihood multi-innovation extended stochastic gradient algorithm to identify multivariable equation-error systems with colored noises. The data filtering and model decomposition techniques are...

  • Article
  • Open Access
11 Citations
3,983 Views
13 Pages

Complex Ginzburg–Landau Equation with Generalized Finite Differences

  • Eduardo Salete,
  • Antonio M. Vargas,
  • Ángel García,
  • Mihaela Negreanu and ,
  • Juan J. Benito and
  • Francisco Ureña
  • + 1 author+ 0 author

20 December 2020

In this paper we obtain a novel implementation for irregular clouds of nodes of the meshless method called Generalized Finite Difference Method for solving the complex Ginzburg–Landau equation. We derive the explicit formulae for the spatial de...

(This article belongs to the Special Issue Applications of Partial Differential Equations in Engineering)
  • Article
  • Open Access
12 Citations
3,489 Views
15 Pages

20 December 2020

This study is devoted to the description of the asymptotic expansions of solutions of linear ordinary differential equations with holomorphic coefficients in the neighborhood of an infinitely distant singular point. This is a classical problem of ana...

(This article belongs to the Special Issue Functional Differential Equations and Applications 2020)
  • Feature Paper
  • Article
  • Open Access
16 Citations
3,997 Views
17 Pages

The Riemann-Lebesgue Integral of Interval-Valued Multifunctions

  • Danilo Costarelli,
  • Anca Croitoru,
  • Alina Gavriluţ,
  • Alina Iosif and
  • Anna Rita Sambucini

20 December 2020

We study Riemann-Lebesgue integrability for interval-valued multifunctions relative to an interval-valued set multifunction. Some classic properties of the RL integral, such as monotonicity, order continuity, bounded variation, convergence are obtain...

(This article belongs to the Special Issue Set-Valued Analysis)
  • Article
  • Open Access
3 Citations
3,900 Views
16 Pages

20 December 2020

This research extended the model developed by Hull and White by integrating Taylor-series expansion into the model for deriving approximate analytical solutions for stochastic volatility forward-starting Asian options. Numerical experiments were perf...

(This article belongs to the Special Issue Mathematical Analysis in Economics and Management)
  • Article
  • Open Access
9 Citations
2,831 Views
15 Pages

Realistic Choice of Annual Matrices Contracts the Range of λS Estimates

  • Dmitrii O. Logofet,
  • Leonid L. Golubyatnikov and
  • Nina G. Ulanova

20 December 2020

In matrix population modeling the multi-year monitoring of a population structure results in a set of annual population projection matrices (PPMs), which gives rise to the stochastic growth rate λS, a quantitative measure of long-term populati...

(This article belongs to the Special Issue Advances in the Mathematics of Ecological Modelling)
  • Article
  • Open Access
2,111 Views
15 Pages

On a Certain Generalized Functional Equation for Set-Valued Functions

  • Yaroslav Bazaykin,
  • Dušan Bednařík,
  • Veronika Borůvková and
  • Tomáš Zuščák

19 December 2020

The aim of the paper is to generalize results by Sikorska on some functional equations for set-valued functions. In the paper, a tool is described for solving a generalized type of an integral-functional equation for a set-valued function F:X→cc...

  • Article
  • Open Access
13 Citations
6,165 Views
14 Pages

Improving the Teaching of Hypothesis Testing Using a Divide-and-Conquer Strategy and Content Exposure Control in a Gamified Environment

  • David Delgado-Gómez,
  • Franks González-Landero,
  • Carlos Montes-Botella,
  • Aaron Sujar and ,
  • Sofia Bayona and
  • Luca Martino
  • + 1 author+ 0 author

19 December 2020

Hypothesis testing has been pointed out as one of the statistical topics in which students present more misconceptions. In this article, an approach based on the divide-and-conquer methodology is proposed to facilitate its learning. The proposed stra...

(This article belongs to the Special Issue Active Methodologies for the Promotion of Mathematical Learning)
  • Article
  • Open Access
13 Citations
4,730 Views
11 Pages

A Path Planning Algorithm for a Dynamic Environment Based on Proper Generalized Decomposition

  • Antonio Falcó,
  • Lucía Hilario,
  • Nicolás Montés,
  • Marta C. Mora and
  • Enrique Nadal

19 December 2020

A necessity in the design of a path planning algorithm is to account for the environment. If the movement of the mobile robot is through a dynamic environment, the algorithm needs to include the main constraint: real-time collision avoidance. This ki...

(This article belongs to the Special Issue Computer Aided Geometric Design)
  • Article
  • Open Access
1 Citations
2,694 Views
16 Pages

19 December 2020

In this paper, we recall a more generalized integral transform, a generalized convolution product and a generalized first variation on function space. The Gaussian process and the bounded linear operators on function space are used to define them. We...

(This article belongs to the Special Issue Special Functions with Applications to Mathematical Physics)
  • Article
  • Open Access
1 Citations
2,886 Views
11 Pages

19 December 2020

The fractional calculus is useful in describing the natural phenomena with memory effect. This paper addresses the fractional form of Ambartsumian equation with a delay parameter. It may be a challenge to obtain accurate approximate solution of such...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
4 Citations
3,098 Views
11 Pages

On the Size of Subclasses of Quasi-Copulas and Their Dedekind–MacNeille Completion

  • Fabrizio Durante,
  • Juan Fernández-Sánchez,
  • Wolfgang Trutschnig and
  • Manuel Úbeda-Flores

18 December 2020

We study some topological properties of the class of supermodular n-quasi-copulas and check that the topological size of the Dedekind–MacNeille completion of the set of n-copulas is small, in terms of the Baire category, in the Dedekind–M...

(This article belongs to the Special Issue Stochastic Models with Applications)
  • Article
  • Open Access
5 Citations
3,346 Views
11 Pages

On An Open Question in Controlled Rectangular b-Metric Spaces

  • Reny George,
  • Abdelkader Belhenniche,
  • Sfya Benahmed,
  • Zoran D. Mitrović and ,
  • Nabil Mlaiki and
  • Liliana Guran
  • + 1 author+ 0 author

18 December 2020

In this paper, we give an affirmative answer to an open question posed recently by Mlaiki et al. As a consequence of our results, we get some known results in the literature. We also give an application of our results to the existence of a solution o...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
  • Article
  • Open Access
19 Citations
5,248 Views
19 Pages

Fuzzy Simheuristics: Solving Optimization Problems under Stochastic and Uncertainty Scenarios

  • Diego Oliva,
  • Pedro Copado,
  • Salvador Hinojosa,
  • Javier Panadero and ,
  • Daniel Riera and
  • Angel A. Juan
  • + 1 author+ 0 author

18 December 2020

Simheuristics combine metaheuristics with simulation in order to solve the optimization problems with stochastic elements. This paper introduces the concept of fuzzy simheuristics, which extends the simheuristics approach by making use of fuzzy techn...

(This article belongs to the Special Issue Applications of Mathematical Methods and Fuzzy Techniques in Decision Making)
  • Article
  • Open Access
23 Citations
3,020 Views
32 Pages

18 December 2020

We study properties of generalized solutions of the Dirichlet–Robin problem for an elasticity system in the exterior of a compact, as well as the asymptotic behavior of solutions of this mixed problem at infinity, with the condition that the en...

(This article belongs to the Special Issue Functional Differential Equations and Applications 2020)
  • Article
  • Open Access
12 Citations
5,063 Views
19 Pages

On the Role of Ionic Modeling on the Signature of Cardiac Arrhythmias for Healthy and Diseased Hearts

  • William A. Ramírez,
  • Alessio Gizzi,
  • Kevin L. Sack,
  • Simonetta Filippi and ,
  • Julius M. Guccione and
  • Daniel E. Hurtado
  • + 1 author+ 0 author

18 December 2020

Computational cardiology is rapidly becoming the gold standard for innovative medical treatments and device development. Despite a worldwide effort in mathematical and computational modeling research, the complexity and intrinsic multiscale nature of...

(This article belongs to the Special Issue Mathematical Modeling in Biomechanics and Mechanobiology)
  • Article
  • Open Access
13 Citations
4,125 Views
16 Pages

17 December 2020

Monitoring the distribution of vehicles across the city is of great importance for urban traffic control. In particular, information on the number of vehicles entering and leaving a city, or moving between urban areas, gives a valuable estimate on po...

(This article belongs to the Special Issue Artificial Intelligence and Big Data Computing)
  • Article
  • Open Access
5 Citations
2,942 Views
19 Pages

Consistent Flag Codes

  • Clementa Alonso-González and
  • Miguel Ángel Navarro-Pérez

17 December 2020

In this paper we study flag codes on Fqn, being Fq the finite field with q elements. Special attention is given to the connection between the parameters and properties of a flag code and the ones of a family of constant dimension codes naturally asso...

(This article belongs to the Special Issue Algebra and Its Applications)
  • Article
  • Open Access
9 Citations
5,085 Views
25 Pages

17 December 2020

The social adoption of change is usually hard because in reality, forces opposing the social adoption of change manifest. This situation of organizational conflict corresponds to the case where two competing groups of influential agents (“promo...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
22 Citations
6,277 Views
18 Pages

Graph Theory for Modeling and Analysis of the Human Lymphatic System

  • Rostislav Savinkov,
  • Dmitry Grebennikov,
  • Darya Puchkova,
  • Valery Chereshnev and ,
  • Igor Sazonov and
  • Gennady Bocharov
  • + 1 author+ 0 author

17 December 2020

The human lymphatic system (HLS) is a complex network of lymphatic organs linked through the lymphatic vessels. We present a graph theory-based approach to model and analyze the human lymphatic network. Two different methods of building a graph are c...

(This article belongs to the Special Issue Random Processes on Graphs)
  • Article
  • Open Access
6 Citations
4,580 Views
18 Pages

17 December 2020

This paper presents an easy-to-apply methodology that allows obtaining the permeability index and the initial hydraulic conductivity of clayey soils, basic constitutive parameters in non-linear models of consolidation, based on the laboratory oedomet...

(This article belongs to the Special Issue Mathematical Problems in Materials Science)
  • Article
  • Open Access
21 Citations
2,881 Views
15 Pages

On the stability of radical septic functional equations

  • Emanuel Guariglia and
  • Kandhasamy Tamilvanan

16 December 2020

This paper deals with the approximate solution of the following functional equation fx7+y77=f(x)+f(y), where f is a mapping from R into a normed vector space. We show stability results of this equation in quasi-β-Banach spaces and (β,p)-Ban...

(This article belongs to the Special Issue New Trends in Functional Equation)
  • Article
  • Open Access
12 Citations
3,547 Views
22 Pages

A Multivariate Hybrid Stochastic Differential Equation Model for Whole-Stand Dynamics

  • Petras Rupšys,
  • Martynas Narmontas and
  • Edmundas Petrauskas

16 December 2020

The growth and yield modeling of a forest stand has progressed rapidly, starting from the generalized nonlinear regression models of uneven/even-aged stands, and continuing to stochastic differential equation (SDE) models. We focus on the adaptation...

(This article belongs to the Special Issue Stochastic Differential Equations and Their Applications 2020)
  • Article
  • Open Access
19 Citations
4,477 Views
11 Pages

16 December 2020

In this paper, we consider a nonlinear fractional differential equation. This equation takes the form of the Bernoulli differential equation, where we use the Caputo fractional derivative of non-integer order instead of the first-order derivative. Th...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
10 Citations
3,214 Views
20 Pages

Diffusion Limit of Multi-Server Retrial Queue with Setup Time

  • Anatoly Nazarov,
  • Alexander Moiseev,
  • Tuan Phung-Duc and
  • Svetlana Paul

16 December 2020

In the paper, we consider a multi-server retrial queueing system with setup time which is motivated by applications in power-saving data centers with the ON-OFF policy, where an idle server is immediately turned off and an off server is set up upon a...

(This article belongs to the Special Issue Queue and Stochastic Models for Operations Research)
  • Article
  • Open Access
6 Citations
5,005 Views
21 Pages

15 December 2020

The Whittle index for restless bandits (two-action semi-Markov decision processes) provides an intuitively appealing optimal policy for controlling a single generic project that can be active (engaged) or passive (rested) at each decision epoch, and...

(This article belongs to the Special Issue Applied Probability)
  • Article
  • Open Access
3,345 Views
26 Pages

Mixed Mechanisms for Auctioning Ranked Items

  • Estrella Alonso,
  • Joaquín Sánchez-Soriano and
  • Juan Tejada

15 December 2020

This paper deals with the problem of designing and choosing auctioning mechanisms for multiple commonly ranked objects as, for instance, keyword auctions in search engines on Internet. We shall adopt the point of view of the auctioneer who has to sel...

(This article belongs to the Special Issue Statistical and Probabilistic Methods in the Game Theory)
  • Article
  • Open Access
2,067 Views
11 Pages

15 December 2020

Let C⊆T be subcategories of an abelian category A. Under some certain conditions, we show that the C-finitistic and T-finitistic global dimensions of A are identical. Some applications are given; in particular, some known results are obtained as...

(This article belongs to the Section A: Algebra and Logic)
  • Article
  • Open Access
8 Citations
2,757 Views
13 Pages

14 December 2020

Blockchain technology has demonstrated huge potential in providing simplicity and efficiency for different industries. However, its implementation in the automotive and aerospace industry is quite slow because of its difficulty to show value creation...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
13 Citations
5,734 Views
15 Pages

The Possibilities of Gamifying the Mathematical Curriculum in the Early Childhood Education Stage

  • Verónica Marín-Díaz,
  • Begoña E. Sampedro-Requena,
  • Juan M. Muñoz-Gonzalez and
  • Noelia N. Jiménez-Fanjul

14 December 2020

The addition of gamification to the classroom as a methodological tool means that the teacher’s opinion about this has become an inflection point that can affect its use or not in the classroom. In this sense, the main objective of the present...

(This article belongs to the Special Issue Active Methodologies for the Promotion of Mathematical Learning)
  • Article
  • Open Access
4 Citations
2,493 Views
14 Pages

14 December 2020

In this study, a third-order linear integro-differential equation with a small parameter at two higher derivatives was considered. An asymptotic expansion of the solution to the boundary value problem for the considered equation is constructed by con...

  • Article
  • Open Access
7 Citations
4,022 Views
36 Pages

14 December 2020

In this paper we prove that for any m≥1 there exists a generic extension of L, the constructible universe, in which it is true that the set of all constructible reals (here subsets of ω) is equal to the set D1m of all reals definable by a parameter f...

(This article belongs to the Special Issue Mathematical Logic and Its Applications 2020)
  • Article
  • Open Access
95 Citations
7,830 Views
13 Pages

Greening the Financial System in USA, Canada and Brazil: A Panel Data Analysis

  • Ioan Batrancea,
  • Larissa Batrancea,
  • Malar Maran Rathnaswamy,
  • Horia Tulai and ,
  • Gheorghe Fatacean and
  • Mircea-Iosif Rus
  • + 1 author+ 0 author

14 December 2020

Each country designs its own scheme to achieve green financing and, in general, credit is considered to be a fundamental source of greening financial systems. The novelty of this study resides in that we examined green financing initiatives in USA, C...

(This article belongs to the Special Issue Computational Statistical Methods and Extreme Value Theory)
  • Article
  • Open Access
20 Citations
6,029 Views
15 Pages

14 December 2020

Blockchain systems store transaction data in the form of a distributed ledger where each node stores a copy of all data, which gives rise to storage issues. It is well-known that the tremendous storage and distribution of the block data are common pr...

(This article belongs to the Special Issue The Cryptography of Cryptocurrency)
  • Article
  • Open Access
4 Citations
2,811 Views
16 Pages

An Intervention Based on Identifying Topics That Students Have Difficulties with

  • Manuel José Fernandez Gutiérrez,
  • Fernando Sánchez Lasheras and
  • Juan Antonio Trevejo Alonso

14 December 2020

Students who start university coming from secondary school commit some common conceptual errors. This paper presents a study developed in the subject of Numerical Methods taught in the second term of the Industrial Engineering Degrees of Oviedo Unive...

(This article belongs to the Special Issue Mathematics Education in Science, Technology and Engineering: Exploring Research and Scholarship of the Student and Staff Experience)
  • Article
  • Open Access
2 Citations
2,043 Views
12 Pages

14 December 2020

In computer-aided geometric design, a polynomial surface is usually represented in Bézier form. The usual form of evaluating such a surface is by using an extension of the de Casteljau algorithm. Using error-free transformations, a compensated...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
4 Citations
2,430 Views
18 Pages

Fuzzy Ranking Network DEA with General Structure

  • Plácido Moreno and
  • Sebastián Lozano

14 December 2020

This paper extends two fuzzy ranking data envelopment analysis (DEA) approaches to the case of general networks of processes. The first approach provides an efficiency score for each possibility level which requires solving one linear program for eac...

(This article belongs to the Special Issue Operations Research Using Fuzzy Sets Theory)
  • Article
  • Open Access
15 Citations
3,061 Views
15 Pages

One Parameter Optimal Derivative-Free Family to Find the Multiple Roots of Algebraic Nonlinear Equations

  • Munish Kansal,
  • Ali Saleh Alshomrani,
  • Sonia Bhalla,
  • Ramandeep Behl and
  • Mehdi Salimi

14 December 2020

In this study, we construct the one parameter optimal derivative-free iterative family to find the multiple roots of an algebraic nonlinear function. Many researchers developed the higher order iterative techniques by the use of the new function eval...

  • Article
  • Open Access
6 Citations
2,387 Views
28 Pages

14 December 2020

In this paper, we present an algorithm for reparametrizing birational surface parametrizations into birational polynomial surface parametrizations without base points, if they exist. For this purpose, we impose a transversality condition to the base...

(This article belongs to the Special Issue New Trends in Algebraic Geometry and Its Applications)
  • Article
  • Open Access
7 Citations
3,011 Views
21 Pages

14 December 2020

Based on the non-permutation property of intercell scheduling in flowline manufacturing cells, a hybrid harmony search algorithm is proposed to solve the problem with the makespan criterion. On the basis of the basic harmony search algorithm, the thr...

  • Article
  • Open Access
8 Citations
3,373 Views
22 Pages

Adaptive Bernstein Copulas and Risk Management

  • Dietmar Pfeifer and
  • Olena Ragulina

14 December 2020

We present a constructive approach to Bernstein copulas with an admissible discrete skeleton in arbitrary dimensions when the underlying marginal grid sizes are smaller than the number of observations. This prevents an overfitting of the estimated de...

(This article belongs to the Special Issue Advances in Multivariate Analysis and Their Applications in Actuarial and Financial Economics)
  • Article
  • Open Access
2 Citations
2,993 Views
16 Pages

13 December 2020

We consider discrete linear Chebyshev approximation problems in which the unknown parameters of linear function are fitted by minimizing the least maximum absolute deviation of errors. Such problems find application in the solution of overdetermined...

(This article belongs to the Special Issue Approximation Theory and Methods 2020)
  • Article
  • Open Access
30 Citations
4,303 Views
14 Pages

13 December 2020

In this article, we will apply some of the algebraic methods to find great moving solutions to some nonlinear physical and engineering questions, such as a nonlinear (1 + 1) Ito integral differential equation and (1 + 1) nonlinear Schrödinger eq...

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Mathematics - ISSN 2227-7390