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Mathematics, Volume 13, Issue 9

May-1 2025 - 181 articles

Cover Story: A non-singular conic in the projective plane PG(2, q) over the Galois field Fq, consists of q + 1 points no three of which are collinear. According to Segre, this combinatorial property characterises non-singular conics for q odd. To establish this, Segre showed that, in the case of odd q, any triple of points of an oval determines a pair of triangles in perspective. Generalising this idea, Segre considered sets of k points in the n-dimensional projective space PG(n, q), no three of which are collinear; these sets are called k-caps. Similarly, sets of k points in PG(n, q), no n + 1 of which lie in a hyperplane, are called k-arcs. Arcs and caps can be generalised by replacing their points with r-dimensional subspaces to obtain generalised k-arcs and generalised k-caps in PG(m, q). The main focus of this paper is on generalised ovals and generalised ovoids. View this paper
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Articles (181)

  • Article
  • Open Access
1,034 Views
29 Pages

This study proposes a three-level meta-frontier framework enhanced with machine learning-driven projection methods to address the dual heterogeneity in carbon emission efficiency analysis arising from regional disparities and industrial diversificati...

  • Article
  • Open Access
1,465 Views
23 Pages

By leveraging Internet of Things (IoT) technology, patients can utilize medical devices to upload their collected personal health records (PHRs) to the cloud for analytical processing or transmission to doctors, which embodies smart health systems an...

  • Article
  • Open Access
3 Citations
3,584 Views
32 Pages

The rapid proliferation of Internet of Things (IoT) applications necessitates real-time data processing and low-latency communication, challenging traditional cloud computing paradigms. This research addresses these challenges by integrating edge com...

  • Article
  • Open Access
1,964 Views
44 Pages

Against global industrial upgrading and China’s “dual-carbon” policy, the cold chain for fresh products faces numerous challenges such as supply disruptions, demand fluctuations, and low-carbon transformation. This study focuses on...

  • Article
  • Open Access
594 Views
18 Pages

A common and simple estimate of variability is the sample range, which is the difference between the maximum and minimum values in the sample. While other measures of variability are preferred in most instances, process owners and operators regularly...

  • Article
  • Open Access
1,850 Views
17 Pages

Large language models (LLMs) are increasingly adopted in medical question answering (QA) scenarios. However, LLMs have been proven to generate hallucinations and nonfactual information, undermining their trustworthiness in high-stakes medical tasks....

  • Article
  • Open Access
867 Views
25 Pages

In recent years, joint censoring schemes have gained significant attention in lifetime experiments and reliability analysis. A refined approach, known as the balanced joint progressive censoring scheme, has been introduced in statistical studies. Thi...

  • Article
  • Open Access
720 Views
19 Pages

Although power sharing in hybrid AC/DC microgrids (HMGs) has been widely researched, traditional power-sharing control is based on an infinite time consensus method, and the communication bandwidth is large. Therefore, this paper proposes a power-sha...

  • Article
  • Open Access
2 Citations
988 Views
20 Pages

The Linear Stability of a Power-Law Liquid Film Flowing Down an Inclined Deformable Plane

  • Karim Ladjelate,
  • Nadia Mehidi Bouam,
  • Amar Djema,
  • Abdelkader Belhenniche and
  • Roman Chertovskih

A linear stability analysis is performed for a power-law liquid film flowing down an inclined rigid plane over a deformable solid layer. The deformable solid is modeled using a neo-Hookean constitutive equation, characterized by a constant shear modu...

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Mathematics - ISSN 2227-7390