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Mathematics, Volume 10, Issue 23

December-1 2022 - 235 articles

Cover Story: The most recent literature contains two theories: one on the construction of probability measures from fractal structures and another one on cumulative distribution functions on separable linearly ordered topological spaces. Indeed, it is possible to construct a probability measure from a pre-measure defined on a fractal structure on a space, but in order to define a cumulative distribution function, a compatible order is needed. In this paper, it is shown how to define such order and the relationship between the pre-measure and the cumulative distribution function with respect to that order. Hence, we can use both theories interchangeably in both topological contexts: when working with a fractal structure and the topological structures induced by it, and when considering a separable linearly ordered topological space. View this paper
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Articles (235)

  • Article
  • Open Access
4 Citations
2,770 Views
11 Pages

Implementation of the Hindmarsh–Rose Model Using Stochastic Computing

  • Oscar Camps,
  • Stavros G. Stavrinides,
  • Carol de Benito and
  • Rodrigo Picos

6 December 2022

The Hindmarsh–Rose model is one of the most used models to reproduce spiking behaviour in biological neurons. However, since it is defined as a system of three coupled differential equations, its implementation can be burdensome and impractical...

  • Article
  • Open Access
45 Citations
2,605 Views
22 Pages

An Innovative Hunter-Prey-Based Optimization for Electrically Based Single-, Double-, and Triple-Diode Models of Solar Photovoltaic Systems

  • Mostafa Elshahed,
  • Ali M. El-Rifaie,
  • Mohamed A. Tolba,
  • Ahmed Ginidi,
  • Abdullah Shaheen and
  • Shazly A. Mohamed

6 December 2022

The derivation of PV model parameters is crucial for the optimization, control, and simulation of PV systems. Although many parameter extraction algorithms have been developed to address this issue, they might have some limitations. This work present...

  • Article
  • Open Access
1 Citations
2,491 Views
9 Pages

On Grill Sβ-Open Set in Grill Topological Spaces

  • Nagarajan Kalaivani,
  • Khaleel Fayaz Ur Rahman,
  • Lenka Čepová and
  • Robert Čep

6 December 2022

In this article we originate a new class of Grill Set, namely GSβ-Open Set, which is parallel to the β Open Set in Grill Topological Space (X, θ, G). In addition, we entitle GSβ-continuous and GSβ-open functions by...

  • Article
  • Open Access
2 Citations
3,672 Views
17 Pages

6 December 2022

In view of a complex multi-factor interaction relationship and high uncertainty of a battlefield environment in the anti-missile troop deployment, this paper analyzes the relationships between the defending stronghold, weapon system, incoming target,...

  • Article
  • Open Access
3 Citations
1,721 Views
33 Pages

6 December 2022

The Asymmetric Simple Inclusion Process (ASIP) is an n-site tandem stochastic network with a Poisson arrival influx into the first site. Each site has an unlimited buffer with a gate in front of it. Each gate opens, independently of all other gates,...

  • Article
  • Open Access
5 Citations
3,171 Views
18 Pages

Performance of a Vector-Controlled PMSM Drive without Using Current Sensors

  • Sai Shiva Badini,
  • Vimlesh Verma,
  • Mohd Tariq,
  • Shabana Urooj and
  • Lucian Mihet-Popa

6 December 2022

The current sensorless vector-controlled permanent-magnet synchronous motor (PMSM) drive using a single sensor (i.e., speed sensor) is presented in this work. The current sensors are removed, and the estimated currents are used to close the current l...

  • Article
  • Open Access
3 Citations
1,842 Views
14 Pages

6 December 2022

This paper deals with optimal consensus problems of a general heterogeneous nonlinear multi-agent system. A novel filter is proposed for each agent by integrating local gradients with neighboring output information. Using this filter and introducing...

  • Article
  • Open Access
3 Citations
2,176 Views
23 Pages

6 December 2022

In this paper, we consider the optimal reinsurance problem for a risk model with a thinning-dependence structure, where the stochastic sources related to claim occurrence are classified into different groups, and each group may cause a claim in each...

  • Article
  • Open Access
2 Citations
1,846 Views
11 Pages

6 December 2022

Parameterization is the key property of a parametric surface and significantly affects many kinds of applications. To improve the quality of parameterization, equiareal parameterization minimizes the equiareal energy, which is presented as a measure...

  • Article
  • Open Access
25 Citations
7,950 Views
14 Pages

6 December 2022

The study focuses on teaching students using educational robots in the field of STEM. The study focused on the influence of project-based teaching on the development of student competences, especially problem-solving competences. The research part of...

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Mathematics - ISSN 2227-7390Creative Common CC BY license