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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
1 Citations
2,653 Views
17 Pages

21 September 2023

This paper provides both analytical and numerical solutions of (PDEs) involving time-fractional derivatives. We implemented three powerful techniques, including the modified variational iteration technique, the modified Adomian decomposition techniqu...

  • Article
  • Open Access
7 Citations
3,223 Views
20 Pages

Optimizing Port Multi-AGV Trajectory Planning through Priority Coordination: Enhancing Efficiency and Safety

  • Yongjun Chen,
  • Shuquan Shi,
  • Zong Chen,
  • Tengfei Wang,
  • Longkun Miao and
  • Huiting Song

21 September 2023

Efficient logistics and transport at the port heavily relies on efficient AGV scheduling and planning for container transshipment. This paper presents a comprehensive approach to address the challenges in AGV path planning and coordination within the...

  • Article
  • Open Access
2 Citations
1,545 Views
13 Pages

21 September 2023

This paper explores the cumulative entropy of the lifetime of an n-component coherent system, given the precondition that all system components have experienced failure at time t. This investigation utilizes the system signature to compute the cumula...

  • Article
  • Open Access
4 Citations
1,906 Views
15 Pages

21 September 2023

In this article, we develop an efficient numerical scheme for dealing with fractional partial integro-differential equations (FPIEs) with a weakly singular kernel. The weight and shift Grünwald difference (WSGD) operator is adopted to approximat...

  • Article
  • Open Access
1 Citations
1,555 Views
13 Pages

20 September 2023

We discuss the weighted complementarity problem, extending the nonlinear complementarity problem on Rn. In contrast to the NCP, many equilibrium problems in science, engineering, and economics can be transformed into WCPs for more efficient methods....

  • Article
  • Open Access
9 Citations
1,499 Views
12 Pages

20 September 2023

This article is devoted to investigating the fixed point theorems for a new contracitivity contraction, which combines the idea involved in Boyd-Wong contractions, strict almost contractions and relational contractions. Our results improve and expand...

  • Article
  • Open Access
6 Citations
2,502 Views
15 Pages

20 September 2023

This paper proposes new existence and uniqueness results for an initial value problem (IVP) of fractional differential equations of nonlinear variable order. Riemann–Liouville-type fractional derivatives are considered in the problem. The new f...

  • Article
  • Open Access
1,511 Views
16 Pages

20 September 2023

As a new member of the NA (negative associated) family, the m-AANA (m-asymptotically almost negatively associated) sequence has many statistical properties that have not been developed. This paper mainly studies its properties in the gradual change p...

  • Article
  • Open Access
1,742 Views
15 Pages

19 September 2023

Large values and gradients of stress and strain, triggering concentrated stress and strain, arise in angular areas of a structure. The strain action, leading to the finite loss of contact between structural elements, also triggers concentrated stress...

  • Article
  • Open Access
3 Citations
1,416 Views
14 Pages

Synergy Prediction Model of Information Entropy Based on Zone Safety Degree and Stope Roof Weighting Step Analysis

  • Lijun Xiong,
  • Haiping Yuan,
  • Hengzhe Li,
  • Xiaohu Liu,
  • Yangyao Zou,
  • Shuaijie Ji and
  • Xingye Fang

19 September 2023

During the underground mining of coal resources, the rock pressure emerges acutely and the mine geological disasters occur frequently. It is of great significance to grasp the manifestation law of rock pressure in time to guide the safety production...

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Axioms - ISSN 2075-1680