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Mathematics, Volume 13, Issue 6

March-2 2025 - 128 articles

Cover Story: In this paper, we investigate an extension to the well-known convex and non-differentiable Gradient capital allocation rule and its link with the “generalized collapse to the mean” problem. In this context, we also discuss numerical issues linked to marginal methods and future research directions. View this paper
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Articles (128)

  • Article
  • Open Access
1,147 Views
26 Pages

20 March 2025

In this paper, a stochastic continuous-time Markov chain (CTMC) model is developed and analyzed to explore the dynamics of cholera. The multitype branching process is used to compute a stochastic threshold for the CTMC model. Latin hypercube sampling...

  • Article
  • Open Access
1,166 Views
21 Pages

Decoding Colon Cancer Heterogeneity Through Integrated miRNA–Gene Network Analysis

  • Qingcai He,
  • Zhilong Mi,
  • Tianyue Liu,
  • Taihang Huang,
  • Mao Li,
  • Binghui Guo and
  • Zhiming Zheng

20 March 2025

Colon adenocarcinoma (COAD) demonstrates significant clinical heterogeneity across disease stages, gender, and age groups, posing challenges for unified therapeutic strategies. This study establishes a multi-dimensional stratification framework throu...

  • Feature Paper
  • Article
  • Open Access
732 Views
24 Pages

20 March 2025

Continuous data associated with many real-world events often exhibit non-normal characteristics, which contribute to the difficulty of accurately modeling such data with statistical procedures that rely on normality assumptions. Traditional statistic...

  • Article
  • Open Access
1 Citations
841 Views
13 Pages

A Validity Index for Clustering Evaluation by Grid Structures

  • Jiachen Wang,
  • Zuojing Zhang and
  • Shihong Yue

20 March 2025

The evaluation of clustering results plays an important role in clustering analysis. Most existing indexes are designed for the evaluation of results from the most-used K-means clustering algorithm; it can identify only spherical clusters rather than...

  • Feature Paper
  • Review
  • Open Access
587 Views
15 Pages

20 March 2025

Let K be a closed convex subset of a real Banach space X, and let F be a map from X to its dual X*. We study the so-called variational inequality problem: given y∈X*,, does there exist x0∈K such that (in standard notation) F(x0)−y,x&m...

  • Article
  • Open Access
1 Citations
924 Views
22 Pages

Edge Computing-Enabled Train Fusion Positioning: Modeling and Analysis

  • Hao Yin,
  • Haifeng Song,
  • Ruichao Wu,
  • Min Zhou,
  • Zixing Deng and
  • Hairong Dong

20 March 2025

For train control systems, the accuracy of positioning tracking is essential for ensuring the safety and efficiency of operations. Multi-source information fusion techniques can improve positioning accuracy, but the computational limitations of onboa...

  • Article
  • Open Access
936 Views
20 Pages

20 March 2025

Lane changing is a crucial scenario in traffic environments, and accurately recognizing and predicting lane-changing behavior is essential for ensuring the safety of both autonomous vehicles and drivers. Through considering the multi-vehicle informat...

  • Feature Paper
  • Article
  • Open Access
1 Citations
2,171 Views
20 Pages

20 March 2025

Modular arithmetic is used to apply generalized C-coloured checkerboard patterns to m×n gridded rectangles, ensuring that colours cycle both horizontally and vertically. This paper yields methods for counting the number of squares of each colou...

  • Article
  • Open Access
785 Views
13 Pages

Ricci Semi-Symmetric Robertson–Walker Spacetime in f(R)-Gravity

  • H. Aruna Kumara,
  • Abdul Haseeb,
  • V. Venkatesha and
  • Mohd Bilal

20 March 2025

We investigated the properties of Ricci semi-symmetric Robertson–Walker spacetimes within the framework of f(R)-gravity theory. Initially, we established that Ricci semi-symmetric Robertson–Walker spacetimes are locally isometric to eithe...

  • Article
  • Open Access
2,139 Views
16 Pages

20 March 2025

This paper addresses the pervasive problem of fake news propagation in social networks. Traditional text-based detection models often suffer from performance degradation over time due to their reliance on evolving textual features. To overcome this l...

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Mathematics - ISSN 2227-7390