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Mathematics, Volume 9, Issue 13

July-1 2021 - 128 articles

Cover Story: A model of a layered, hierarchically constructed composite is presented, the structure of which demonstrates the properties of similarity at different scales. For the proposed model of the composite, fractal analysis was carried out, including an assessment of the permissible range of scales, calculation of fractal capacity, Hausdorff and Minkovsky dimensions, and calculation of the Hurst exponent. The maximum and minimum sizes at which fractal properties are observed are investigated, and a quantitative assessment of the complexity of the proposed model is carried out. A software package is developed that allows one to calculate the fractal characteristics of hierarchically constructed composite media. A qualitative analysis of the calculated fractal characteristics is also carried out. View this paper
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Articles (128)

  • Article
  • Open Access
12 Citations
4,349 Views
23 Pages

5 July 2021

In this paper, an approach based on genetic algorithms is proposed to form groups in collaborative learning scenarios, considering the students’ personality traits as a criterion for grouping. This formation is carried out in two stages: In the first...

  • Article
  • Open Access
21 Citations
6,236 Views
16 Pages

5 July 2021

International large-scale assessments (ILSAs) provide several measures as a representation of educational outcomes, the so-called plausible values, which are frequently interpreted as a representation of the ability range of students. In this paper,...

  • Article
  • Open Access
5 Citations
2,710 Views
9 Pages

5 July 2021

In this paper, we propose a new calculation method for the regularization factor in sparse recursive least squares (SRLS) with l1-norm penalty. The proposed regularization factor requires no prior knowledge of the actual system impulse response, and...

  • Article
  • Open Access
7 Citations
3,828 Views
17 Pages

Hybrid Optimization Based Mathematical Procedure for Dimensional Synthesis of Slider-Crank Linkage

  • Alfonso Hernández,
  • Aitor Muñoyerro,
  • Mónica Urízar and
  • Enrique Amezua

5 July 2021

In this paper, an optimization procedure for path generation synthesis of the slider-crank mechanism will be presented. The proposed approach is based on a hybrid strategy, mixing local and global optimization techniques. Regarding the local optimiza...

  • Article
  • Open Access
13 Citations
4,474 Views
15 Pages

Numerical Modeling of Face Shield Protection against a Sneeze

  • Ainara Ugarte-Anero,
  • Unai Fernandez-Gamiz,
  • Iñigo Aramendia,
  • Ekaitz Zulueta and
  • Jose Manuel Lopez-Guede

5 July 2021

The protection provided by wearing masks has been a guideline worldwide to prevent the risk of COVID-19 infection. The current work presents an investigation that analyzes the effectiveness of face shields as personal protective equipment. To that en...

  • Feature Paper
  • Article
  • Open Access
5 Citations
2,496 Views
8 Pages

4 July 2021

We investigate the proximity in terms of zeta-structured metrics of generalized negative binomial random sums to generalized gamma distribution with the corresponding parameters, extending thus the zeta-structured estimates of the rate of convergence...

  • Article
  • Open Access
12 Citations
6,519 Views
44 Pages

4 July 2021

A matheuristic approach based on a reduced two-stage Stochastic Integer Linear Programming (SILP) model is presented. The proposed approach is suitable for obtaining a policy constructed dynamically on the go during the rollout algorithm. The rollout...

  • Article
  • Open Access
10 Citations
2,540 Views
28 Pages

4 July 2021

This article deals with the general linearization problem of Jacobi polynomials. We provide two approaches for finding closed analytical forms of the linearization coefficients of these polynomials. The first approach is built on establishing a new f...

  • Article
  • Open Access
19 Citations
4,577 Views
14 Pages

4 July 2021

Automated diagnosis systems aim to reduce the cost of diagnosis while maintaining the same efficiency. Many methods have been used for breast cancer subtype classification. Some use single data source, while others integrate many data sources, the ca...

  • Article
  • Open Access
2 Citations
2,362 Views
19 Pages

4 July 2021

Ranking interval-valued fuzzy soft sets is an increasingly important research issue in decision making, and provides support for decision makers in order to select the optimal alternative under an uncertain environment. Currently, there are three int...

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Mathematics - ISSN 2227-7390