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Mathematics, Volume 9, Issue 23

December-1 2021 - 159 articles

Cover Story: A rectifying curve is a twisted curve with the property that all of its rectifying planes pass through a fixed point. If this point is the origin of the Cartesian coordinate system, then the position vector of the rectifying curve always lies in the rectifying plane. A remarkable property of these curves is that the ratio between torsion and curvature is a nonconstant linear function of the arc-length parameter. In this paper, we give a new characterization of rectifying curves; namely, we prove that a curve is a rectifying curve if and only if it has a spherical involute. Consequently, rectifying curves can be constructed as evolutes of spherical twisted curves. We express the curvature and the torsion of a rectifying spherical curve and give the necessary and sufficient conditions for a curve and its involute to be both rectifying curves. View this paper.
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Articles (159)

  • Article
  • Open Access
2 Citations
2,331 Views
27 Pages

Mixture of Species Sampling Models

  • Federico Bassetti and
  • Lucia Ladelli

4 December 2021

We introduce mixtures of species sampling sequences (mSSS) and discuss how these sequences are related to various types of Bayesian models. As a particular case, we recover species sampling sequences with general (not necessarily diffuse) base measur...

  • Article
  • Open Access
1 Citations
1,954 Views
18 Pages

Continuous Stability TS Fuzzy Systems Novel Frame Controlled by a Discrete Approach and Based on SOS Methodology

  • Ameni Ellouze,
  • Omar Kahouli,
  • Mohamed Ksantini,
  • Ali Rebhi,
  • Nidhal Hnaien and
  • François Delmotte

4 December 2021

Generally, the continuous and discrete TS fuzzy systems’ control is studied independently. Unlike the discrete systems, stability results for the continuous systems suffer from conservatism because it is still quite difficult to apply non-quadr...

  • Article
  • Open Access
6 Citations
2,585 Views
19 Pages

Enterprise Compensation System Statistical Modeling for Decision Support System Development

  • Artur Mitsel,
  • Aleksandr Shilnikov,
  • Pavel Senchenko and
  • Anatoly Sidorov

4 December 2021

This article raises the issue of decision support system (DSS) development in enterprises concerning the compensation system (CS). The topic is relevant as the CS is one of the main components in human resource management in business. A key element o...

  • Article
  • Open Access
1 Citations
3,493 Views
18 Pages

Early Prediction of DNN Activation Using Hierarchical Computations

  • Bharathwaj Suresh,
  • Kamlesh Pillai,
  • Gurpreet Singh Kalsi,
  • Avishaii Abuhatzera and
  • Sreenivas Subramoney

4 December 2021

Deep Neural Networks (DNNs) have set state-of-the-art performance numbers in diverse fields of electronics (computer vision, voice recognition), biology, bioinformatics, etc. However, the process of learning (training) from the data and application o...

  • Article
  • Open Access
7 Citations
2,709 Views
20 Pages

4 December 2021

Smart systems and technologies have become integral parts of modern society. Their ubiquity makes it paramount to prioritise securing the privacy of data transferred between smart devices. Visual encryption is a technique employed to obscure images b...

  • Article
  • Open Access
4 Citations
3,036 Views
31 Pages

An Unsupervised Machine Learning-Based Framework for Transferring Local Factories into Supply Chain Networks

  • Mohd Fahmi Bin Mad Ali,
  • Mohd Khairol Anuar Bin Mohd Ariffin,
  • Faizal Bin Mustapha and
  • Eris Elianddy Bin Supeni

3 December 2021

Transferring a local manufacturing company to a national-wide supply chain network with wholesalers and retailers is a significant problem in manufacturing systems. In this research, a hybrid PCA-K-means is used to transfer a local chocolate manufact...

  • Article
  • Open Access
2 Citations
1,686 Views
11 Pages

3 December 2021

This paper presents a variant scheme of the cubic exponential B-spline scheme, which, with two parameters, can generate curves with different shapes. This variant scheme is obtained based on the iteration from the generation of exponentials and a sui...

  • Article
  • Open Access
7 Citations
5,313 Views
26 Pages

3 December 2021

Peer effects in the context of higher education have lately received increased attention. Higher diversity in the composition of new cohorts of students, generated mainly in countries where public and institutional policies have enabled access to stu...

  • Feature Paper
  • Article
  • Open Access
6 Citations
2,562 Views
25 Pages

Automatic Path Planning Offloading Mechanism in Edge-Enabled Environments

  • Dušan Herich,
  • Ján Vaščák,
  • Iveta Zolotová and
  • Alexander Brecko

3 December 2021

The utilization of edge-enabled cloud computing in unmanned aerial vehicles has facilitated advances in autonomous control by employing computationally intensive algorithms frequently related to traversal among different locations in an environment....

  • Article
  • Open Access
5 Citations
2,473 Views
14 Pages

Global and Local Analysis for a Cournot Duopoly Game with Two Different Objective Functions

  • Sameh Askar,
  • Abdulaziz Foul,
  • Tarek Mahrous,
  • Saleh Djemele and
  • Emad Ibrahim

3 December 2021

In this paper, a Cournot game with two competing firms is studied. The two competing firms seek the optimality of their quantities by maximizing two different objective functions. The first firm wants to maximize an average of social welfare and prof...

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Mathematics - ISSN 2227-7390