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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
490 Views
13 Pages

An interconnection network is usually modeled by a graph, and fault tolerance of the interconnection network is often measured by connectivity of the graph. Given a connected subgraph L of a graph G and non-negative integer t, the t-extra connectivit...

  • Article
  • Open Access
838 Views
26 Pages

Accurate photovoltaic (PV) power generation forecasting is crucial for optimizing grid management and enhancing the reliability of sustainable energy systems. This study creates a novel hybrid model—MPA-VMD-BiGRU-MAM—designed to improve P...

  • Article
  • Open Access
1,649 Views
23 Pages

Session-based recommendation (SBR) aims to predict the next item a user may interact with based on an anonymous session, playing a crucial role in real-time recommendation scenarios. However, existing SBR models struggle to effectively capture local...

  • Article
  • Open Access
5 Citations
1,128 Views
25 Pages

Due to the rapid proliferation of social media and online reviews, the accurate identification and classification of controversial texts has emerged as a significant challenge in the field of natural language processing. However, traditional text-cla...

  • Feature Paper
  • Article
  • Open Access
1 Citations
647 Views
21 Pages

Predicting and analyzing travel mode choices and purposes are significant to improve urban travel mobility and transportation planning. Previous research has ignored the interconnection between travel mode choices and purposes and thus overlooked the...

  • Feature Paper
  • Article
  • Open Access
650 Views
17 Pages

This paper presents a simplified and computationally feasible multivariate extension. A correlation matrix is constructed using pairwise Spearman’s footrule correlation coefficients, and these coefficients are shown to jointly converge to a mul...

  • Article
  • Open Access
2 Citations
967 Views
22 Pages

On the Special Viviani’s Curve and Its Corresponding Smarandache Curves

  • Yangke Deng,
  • Yanlin Li,
  • Süleyman Şenyurt,
  • Davut Canlı and
  • İremnur Gürler

In the present paper, the special Viviani’s curve is revisited in the context of Smarandache geometry. Accordingly, the paper first defines the special Smarandache curves of Viviani’s curve, including the Darboux vector. Then, it expresse...

  • Article
  • Open Access
2 Citations
467 Views
22 Pages

The primary objective of this study is to explore sufficient conditions for the existence, uniqueness, and optimal stability of positive solutions to a finite system of Hilfer–Hadamard fractional differential equations with two-point boundary c...

  • Article
  • Open Access
942 Views
26 Pages

Thermophysical Properties and Expectation Values for Pöschl–Teller-like Pseudo-Harmonic Oscillator

  • Haifa I. Alrebdi,
  • Uduakobong S. Okorie,
  • Ridha Horchani,
  • Gaotsiwe J. Rampho and
  • Akpan N. Ikot

The Nikiforov–Uvarov functional analysis (NUFA) formalism is employed to study approximately the eigensolutions of the Schrodinger equation with the Pöschl–Teller-like pseudo-harmonic oscillator (PTPO). The variations in the energy s...

  • Article
  • Open Access
670 Views
19 Pages

This article is devoted to numerically modeling the effect of the geometric modification of the surfaces of ion-exchange membranes in electromembrane systems (EMSs) on the salt ion transport using a 2D mathematical model of the transport process in t...

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Mathematics - ISSN 2227-7390Creative Common CC BY license