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Mathematics, Volume 9, Issue 22

November-2 2021 - 153 articles

Cover Story: The problem of multicriteria optimization of a dynamic model is solved using the methods of similarity theory and criteria importance theory. The authors propose an original model of a positional system with two hydraulic actuators, synchronously moving a heavy object with a given accuracy. In order to reduce the number of optimizing parameters, the mathematical model of the system is presented in a dimensionless form. Three dimensionless optimization criteria that characterize the accuracy, size, and quality of the dynamic positioning process are considered. It is shown that the application of the criteria importance method significantly reduces the Pareto set (the set of the best solutions). This opens up the possibility of reducing many optimal solutions to one solution, which greatly facilitates the choice of parameters when designing a mechanical object. View this paper
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Articles (153)

  • Article
  • Open Access
15 Citations
3,429 Views
38 Pages

21 November 2021

This paper presents a new family of semi-implicit hybrid finite volume/finite element schemes on edge-based staggered meshes for the numerical solution of the incompressible Reynolds-Averaged Navier–Stokes (RANS) equations in combination with t...

  • Article
  • Open Access
7 Citations
3,221 Views
17 Pages

21 November 2021

The heat transfer and pressure drop characteristics of R290 flow boiling in a corrugated tube were investigated through computational fluid dynamics (CFD) in this study. We established a model of flow boiling in a corrugated tube with different corru...

  • Article
  • Open Access
40 Citations
9,272 Views
21 Pages

21 November 2021

Although in recent decades corporate social responsibility (CSR) has been subjected to numerous studies in management and marketing literature about its impact on business results, the mechanism by which it affects performance has not been establishe...

  • Article
  • Open Access
2 Citations
2,394 Views
19 Pages

On the State Approach Representations of Convolutional Codes over Rings of Modular Integers

  • Ángel Luis Muñoz Castañeda,
  • Noemí DeCastro-García and
  • Miguel V. Carriegos

20 November 2021

In this study, we prove the existence of minimal first-order representations for convolutional codes with the predictable degree property over principal ideal artinian rings. Further, we prove that any such first-order representation leads to an inpu...

  • Article
  • Open Access
1 Citations
6,672 Views
38 Pages

20 November 2021

This work presents an overview of the summability of divergent series and fractional finite sums, including their connections. Several summation methods listed, including the smoothed sum, permit obtaining an algebraic constant related to a divergent...

  • Article
  • Open Access
12 Citations
2,037 Views
31 Pages

20 November 2021

The main objective of the present article is to prove some new ∇ dynamic inequalities of Hardy–Hilbert type on time scales. We present and prove very important generalized results with the help of Fenchel–Legendre transform, submult...

  • Article
  • Open Access
13 Citations
2,510 Views
13 Pages

20 November 2021

Accurately evaluating rockburst intensity has attracted much attention in these recent years, as it can guide the design of engineering in deep underground conditions and avoid injury to people. In this study, a new ensemble classifier combining a ra...

  • Article
  • Open Access
11 Citations
2,599 Views
19 Pages

20 November 2021

The paper describes a method of gravity data inversion, which is based on parallel algorithms. The choice of the density model of the initial approximation and the set on which the solution is sought guarantees the stability of the algorithms. We off...

  • Article
  • Open Access
6 Citations
3,825 Views
15 Pages

Modeling and Verifying the CKB Blockchain Consensus Protocol

  • Meng Sun,
  • Yuteng Lu,
  • Yichun Feng,
  • Qi Zhang and
  • Shaoying Liu

19 November 2021

The Nervos CKB (Common Knowledge Base) is a public permissionless blockchain designed for the Nervos ecosystem. The CKB consensus protocol is the key protocol of the Nervos CKB, which improves the limit of the consensus’s performance for Bitcoin. In...

  • Article
  • Open Access
9 Citations
4,549 Views
19 Pages

19 November 2021

Mathematics teachers’ knowledge is considered one of the most critical factors in instruction and student achievement. As such, various studies have focused on mathematics teachers’ knowledge. Despite the expansion of the field, however, a systematic...

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Mathematics - ISSN 2227-7390