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Axioms, Volume 12, Issue 9

September 2023 - 100 articles

Cover Story: The structure of cubic plane curves is governed by lines. Likewise, circle geometry underlies the theory of bicircular quartics. Such a quartic is symmetric in four mutually orthogonal circles of inversion; its sixteen (complex) foci lie on the latter and the curve belongs to an orthogonal family of such quartics sharing the same circles and foci. Here, we connect the above geometric setting with the normal form for elliptic curves introduced by Edwards in 2007. Each (real) Edwards curve generates a confocal family of equivalent elliptic curves—bicircular quartics—via a parameterized Edwards transformation. Curves in the family are identified with trajectories of a quadratic differential on the Riemann sphere. In combination, these several topics illuminate each other and facilitate our fuller understanding of them. View this paper
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Articles (100)

  • Article
  • Open Access
5 Citations
2,549 Views
9 Pages

7 September 2023

One of the important issues in evaluating an interconnection network is to study the hamiltonian cycle embedding problems. A graph G is spanning k-edge-cyclable if for any k independent edges e1,e2,…,ek of G, there exist k vertex-disjoint cycl...

  • Article
  • Open Access
1,218 Views
16 Pages

Finite Chaoticity and Pairwise Sensitivity of a Strong-Mixing Measure-Preserving Semi-Flow

  • Risong Li,
  • Jingmin Pi,
  • Yongjiang Li,
  • Tianxiu Lu,
  • Jianjun Wang and
  • Xianfeng Ding

7 September 2023

Chaos is a common phenomenon in nature and social sciences. As is well known, chaos has multiple definitions, and there are both differences and connections between them. The unique properties of chaotic systems can be leveraged to address challenges...

  • Article
  • Open Access
13 Citations
1,133 Views
14 Pages

6 September 2023

This paper investigates the existence and convergence of solutions for linear and nonlinear matrix equations. This study explores the potential of convex (α,β)-generalized contraction mappings in geodesic spaces, ensuring the existence of...

  • Article
  • Open Access
1,016 Views
12 Pages

5 September 2023

Pavelka-style (rational) Gödel logic is an extension of Gödel logic which is denoted by RGL*. In this article, due to the approximate Craig interpolation property for RGL*, the Robinson theorem and approximate Beth theorem are presented and...

  • Article
  • Open Access
5 Citations
4,280 Views
18 Pages

4 September 2023

Process capability index (PCI) is a convenient and useful tool of process quality evaluation that allows a company to have a complete picture of its manufacturing process in order to prevent defective products while ensuring the product quality is at...

  • Article
  • Open Access
1 Citations
1,576 Views
31 Pages

4 September 2023

In this paper, the propagation of Rossby waves under barotropic-baroclinic interaction in polar co-ordinates is studied. By starting from the two-layer quasi-geotropic potential vorticity equation (of equal depth) with the β effect, the coupled...

  • Article
  • Open Access
10 Citations
3,681 Views
20 Pages

3 September 2023

In today’s digital age, the financial industry, a cornerstone of the global economy, is undergoing monumental shifts. While business performance hinges on proficient leadership, the seismic wave of digital transformation poses new challenges an...

  • Article
  • Open Access
15 Citations
1,359 Views
14 Pages

1 September 2023

In this paper, we prove a coincidence point result for a pair of mappings satisfying Edelstein-type contractive condition on fuzzy metric spaces. We describe the equilibrium of a simple demand–supply model of a dynamic market by the coincidence...

  • Article
  • Open Access
1,739 Views
11 Pages

31 August 2023

In this paper, as a complement to the works by Monterio and Notargiacomo, we analyze the dynamical behavior of a learning-process model in a case where the system admits a unique interior degenerate equilibrium. Meanwhile, we acquire the sufficient c...

  • Article
  • Open Access
9 Citations
2,384 Views
19 Pages

Enhanced Remora Optimization with Deep Learning Model for Intelligent PMSM Drives Temperature Prediction in Electric Vehicles

  • Abdul Latif,
  • Ibrahim M. Mehedi,
  • Mahendiran T. Vellingiri,
  • Rahtul Jannat Meem and
  • Thangam Palaniswamy

31 August 2023

One of the widespread electric motors for electric vehicles (EVs) is permanent magnet synchronous machine (PMSM) drives. It is because of the power density and high energy of the PMSM with moderate assembly cost. The widely adopted PMSM as the motor...

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Axioms - ISSN 2075-1680