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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
7 Citations
2,241 Views
13 Pages

Symbolic Regression Approaches for the Direct Calculation of Pipe Diameter

  • Dejan Brkić,
  • Pavel Praks,
  • Renáta Praksová and
  • Tomáš Kozubek

31 August 2023

This study provides novel and accurate symbolic regression-based solutions for the calculation of pipe diameter when flow rate and pressure drop (head loss) are known, together with the length of the pipe, absolute inner roughness of the pipe, and ki...

  • Article
  • Open Access
36 Citations
1,921 Views
20 Pages

A Weighted Cosine-G Family of Distributions: Properties and Illustration Using Time-to-Event Data

  • Omalsad Hamood Odhah,
  • Huda M. Alshanbari,
  • Zubair Ahmad and
  • Gadde Srinivasa Rao

30 August 2023

Modeling and predicting time-to-event phenomena in engineering, sports, and medical sectors are very crucial. Numerous models have been proposed for modeling such types of data sets. These models are introduced by adding one or more parameters to the...

  • Article
  • Open Access
2 Citations
1,618 Views
17 Pages

30 August 2023

Stochastic characterizations of functions subject to constraints result in treating them as functions with non-independent variables. By using the distribution function or copula of the input variables that comply with such constraints, we derive two...

  • Article
  • Open Access
5 Citations
1,511 Views
17 Pages

Inertial Iterative Algorithms for Split Variational Inclusion and Fixed Point Problems

  • Doaa Filali,
  • Mohammad Dilshad,
  • Lujain Saud Muaydhid Alyasi and
  • Mohammad Akram

30 August 2023

This paper aims to present two inertial iterative algorithms for estimating the solution of split variational inclusion (SpVIsP) and its extended version for estimating the common solution of (SpVIsP) and fixed point problem (FPP) of a nonexpansive m...

  • Article
  • Open Access
1,295 Views
12 Pages

30 August 2023

In order to study the dynamic mechanism of the impact of technological innovation diffusion on enterprise population networks, a corresponding relationship between enterprise population networks and predatory models was established based on a predato...

  • Editorial
  • Open Access
5 Citations
1,637 Views
5 Pages

30 August 2023

This Special Issue of the journal Axioms pays tribute to Professor Feng Qi’s significant contributions and provides some important recent advances in mathematics [...]

  • Article
  • Open Access
5 Citations
1,030 Views
13 Pages

30 August 2023

This paper presents the final stage in the study of the analytical approximate solution to a class of nonlinear differential equations unsolvable in quadrature in the general case in the neighborhood of a perturbed value of a moving singular point. A...

  • Article
  • Open Access
1,288 Views
19 Pages

30 August 2023

In this paper, the general-decay synchronization issue of a class of quaternion-valued neural networks with mixed time delays is investigated. Firstly, unlike some previous works where the quaternion-valued model is separated into four real-valued ne...

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Axioms - ISSN 2075-1680