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Mathematics, Volume 13, Issue 23

December-1 2025 - 158 articles

Cover Story: A polarity of a geometry is a type-reversing automorphism that has an order of 2. They give rise to highly transitive subgeometries. We classify the polarities of exceptional geometries of type E6 over an arbitrary field k; these geometries are closely related to simple groups and Lie algebras of type E6. The Schläfli graph, on the left, is the skeleton of each such geometry. The purple and red edges form a dual point (the image of a point under a polarity); the purple and blue edges form a maximal flat (at least one of those is fixed under each polarity we classify). When char(k) ≠ 2, we find four types of polarities, two of which exist over the complex field, and a third over the reals. We picture the fix diagram and the Tits index, which not only tell us the structure of the subgeometry but also how exactly it sits in the geometry of type E6View this paper
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Articles (158)

  • Article
  • Open Access
277 Views
27 Pages

4 December 2025

In this article, we investigate the dynamical analysis and soliton solutions of the microtubule equation. First, the Lie symmetry method is applied to the considered model to reduce the governing partial differential equation into an ordinary differe...

  • Article
  • Open Access
196 Views
22 Pages

Micromechanics-Based Strength Criterion for Root-Reinforced Soil

  • Wei Luo,
  • Fu Cao,
  • Yang Wang,
  • Guiyou Xiao and
  • Enlong Liu

4 December 2025

To address the limitation of using experimental parameters in the macroscopic strength criterion, a micromechanical strength criterion for root-reinforced soil is developed. In this model, a micromechanical model for a three-phase composite (“r...

  • Article
  • Open Access
1,023 Views
26 Pages

4 December 2025

Short-term trading presents a high-dimensional prediction problem, where the profitability of trading signals depends not only on model accuracy but also on how financial labels are defined and aligned with market dynamics. Traditional approaches oft...

  • Article
  • Open Access
245 Views
13 Pages

Certain Geometric Investigations of Three Normalized Bessel-Type Functions of a Complex Variable

  • Rabab Alyusof,
  • Shams Alyusof,
  • Rabha M. El-Ashwah and
  • Alaa H. El-Qadeem

4 December 2025

We recall the normalized forms for the three Bessel-type functions; these functions are the Bessel function, Lommel function, and Struve function of the first kind. By using convolution, we define normalized forms. The essential purpose is to introdu...

  • Article
  • Open Access
434 Views
18 Pages

4 December 2025

Accurate cooling load forecasting in high-efficiency chiller plants with ice storage systems is essential for intelligent control, energy conservation, and maintaining indoor comfort. However, conventional forecasting methods often struggle to model...

  • Article
  • Open Access
561 Views
28 Pages

4 December 2025

This study proposes Bayesian estimation of multivariate regular vine (R-vine) copula models with generalized autoregressive conditional heteroskedasticity (GARCH) margins modeled by Gaussian-mixture distributions. The Bayesian estimation approach inc...

  • Feature Paper
  • Review
  • Open Access
950 Views
42 Pages

4 December 2025

The human ability to imagine alternative realities has long supported reasoning, communication, and creativity through storytelling. By constructing hypothetical scenarios, people can anticipate outcomes, solve problems, and generate new knowledge. T...

  • Article
  • Open Access
373 Views
35 Pages

4 December 2025

Transfer learning, which utilizes extensive simulation data to overcome the limitations of scarce and expensive experimental data, has emerged as a powerful approach for predictive modeling in various physical domains. This study presents a comprehen...

  • Article
  • Open Access
330 Views
22 Pages

4 December 2025

This study addresses the joint scheduling problem of flexible job shop scheduling and automated guided vehicles with the objective of minimizing the makespan. We propose an efficient optimization approach based on a critical-path-driven variable neig...

  • Article
  • Open Access
613 Views
26 Pages

Shaping Multi-Dimensional Traffic Features for Covert Communication in QUIC Streaming

  • Dongfang Zhang,
  • Dongxu Liu,
  • Jianan Huang,
  • Lei Guan and
  • Xiaotian Yin

3 December 2025

Network covert channels embed secret data into legitimate traffic, but existing methods struggle to balance undetectability, robustness, and throughput. Application-independent channels at lower protocol layers are easily normalized or disrupted by n...

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Mathematics - ISSN 2227-7390