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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
12 Citations
1,813 Views
27 Pages

Ninth-order Multistep Collocation Formulas for Solving Models of PDEs Arising in Fluid Dynamics: Design and Implementation Strategies

  • Ezekiel Olaoluwa Omole,
  • Emmanuel Oluseye Adeyefa,
  • Victoria Iyadunni Ayodele,
  • Ali Shokri and
  • Yuanheng Wang

18 September 2023

A computational approach with the aid of the Linear Multistep Method (LMM) for the numerical solution of differential equations with initial value problems or boundary conditions has appeared several times in the literature due to its good accuracy a...

  • Article
  • Open Access
6 Citations
2,438 Views
26 Pages

18 September 2023

Survey sampling has a wide range of applications in biomedical, meteorological, stock exchange, marketing, and agricultural research based on data collected through sample surveys or experimentation. The collected set of information may have a fuzzy...

  • Article
  • Open Access
2 Citations
1,699 Views
32 Pages

Exact Solutions of the Stochastic Conformable Broer–Kaup Equations

  • Humaira Yasmin,
  • Yusuf Pandir,
  • Tolga Akturk and
  • Yusuf Gurefe

18 September 2023

In this article, the exact solutions of the stochastic conformable Broer–Kaup equations with conformable derivatives which describe the bidirectional propagation of long waves in shallow water are obtained using the modified exponential functio...

  • Article
  • Open Access
3 Citations
2,725 Views
13 Pages

18 September 2023

This work uses the collocation approximation method to solve a specific type of backward stochastic Volterra integral equations (BSVIEs). Using Newton’s method, BSVIEs can be solved using block pulse functions and the corresponding stochastic operati...

  • Article
  • Open Access
2 Citations
1,730 Views
12 Pages

17 September 2023

Entropy and extropy are emerging concepts in machine learning and computer science. Within the past decade, statisticians have created estimators for these measures. However, associated variability metrics, specifically varentropy and varextropy, hav...

  • Article
  • Open Access
4 Citations
1,511 Views
19 Pages

17 September 2023

The primary intent of this study is to establish some important inequalities of the Hermite–Hadamard, trapezoid, and midpoint types under fractional extended Riemann–Liouville integrals (FERLIs). The proofs are constructed using the renow...

  • Article
  • Open Access
4 Citations
1,856 Views
17 Pages

Derivation of Bounds for Majorization Differences by a Novel Method and Its Applications in Information Theory

  • Abdul Basir,
  • Muhammad Adil Khan,
  • Hidayat Ullah,
  • Yahya Almalki,
  • Saowaluck Chasreechai and
  • Thanin Sitthiwirattham

16 September 2023

In the recent era of research developments, mathematical inequalities and their applications perform a very consequential role in different aspects, and they provide an engaging area for research activities. In this paper, we propose a new approach f...

  • Review
  • Open Access
2 Citations
3,598 Views
13 Pages

15 September 2023

Bland–Altman limits of agreement are very popular in method comparison studies on quantitative outcomes. However, a straightforward application of Bland–Altman analysis requires roughly normally distributed differences, a constant bias, a...

  • Article
  • Open Access
3 Citations
1,874 Views
26 Pages

15 September 2023

The global fixed-time sliding mode control strategy is designed for the manipulator to achieve global fixed-time trajectory tracking in response to the uncertainty of the system model, the external disturbances, and the saturation of the manipulator...

  • Article
  • Open Access
4 Citations
1,647 Views
14 Pages

15 September 2023

This paper is to study finite horizon linear quadratic (LQ) non-zero sum Nash game for discrete-time infinite Markov jump stochastic systems (IMJSSs). Based on the theory of stochastic analysis, a countably infinite set of coupled generalized algebra...

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Axioms - ISSN 2075-1680