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Mathematics, Volume 13, Issue 7

April-1 2025 - 194 articles

Cover Story: A particle moves along a unit circle in discrete time to exit the circle through an escape channel. How fast will the particle exit the circle? How does the exit time depend on the initial position of the particle along the circle? Will the exit time increase if the escape channel narrows? These questions can be investigated by implementing the formula introduced in the paper for generating points. The exit time in this problem is defined by the generating points, and their random distribution, as shown in the graph, indicates that the exit time becomes unpredictable when the initial position of the particle slightly changes. The random location of the generating points results from the randomness of the decimal digits of π, and the paper argues that the number π is responsible for a chaotic state that appears in the system, especially with an infinitely narrow channel. View this paper
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Articles (194)

  • Article
  • Open Access
2 Citations
1,224 Views
25 Pages

Random Generalized Additive Logistic Forest: A Novel Ensemble Method for Robust Binary Classification

  • Oyebayo Ridwan Olaniran,
  • Ali Rashash R. Alzahrani,
  • Nada MohammedSaeed Alharbi and
  • Asma Ahmad Alzahrani

7 April 2025

Ensemble methods have proven highly effective in enhancing predictive performance by combining multiple models. We introduce a novel ensemble approach, the Random Generalized Additive Logistic Forest (RGALF), which integrates generalized additive mod...

  • Article
  • Open Access
1 Citations
787 Views
29 Pages

7 April 2025

Crop cultivation planning is vital for optimizing agricultural productivity and sustainable land use under farming uncertainties. This study developed a decomposition-based stochastic multilevel binary optimization model for agricultural plot managem...

  • Article
  • Open Access
673 Views
24 Pages

7 April 2025

Multi-threshold segmentation of color images is a critical component of modern image processing. However, as the number of thresholds increases, traditional multi-threshold image segmentation methods face challenges such as low accuracy and slow conv...

  • Feature Paper
  • Article
  • Open Access
1 Citations
789 Views
28 Pages

7 April 2025

With the rapid growth of streaming data, traditional tensor decomposition methods can hardly handle real-time, high-dimensional data of massive amounts in this scenario. In this paper, a two-level parallel incremental tensor Tucker decomposition meth...

  • Article
  • Open Access
2 Citations
1,008 Views
18 Pages

7 April 2025

The transportation of prefabricated components is challenged by the particularity of large cargo transport and urban road conditions, restrictions on parking, height, and weight. To address these challenges and to promote low-carbon logistics, this p...

  • Article
  • Open Access
7 Citations
5,230 Views
17 Pages

7 April 2025

Driven by rapid advancements in big data and Internet of Things (IoT) technologies, time series data are now extensively utilized across diverse industrial sectors. The precise identification of anomalies in time series data—especially within i...

  • Article
  • Open Access
664 Views
13 Pages

7 April 2025

Fluid flow along an inclined channel phenomenon is crucial in several geophysical, environmental, engineering, biological, and industrial processes, and in aerodynamics and hemodynamics. This present study examines the effect of a constant magnetic f...

  • Editorial
  • Open Access
447 Views
3 Pages

7 April 2025

Recently, it has become pivotal to include mathematics in all domains and crucial to offer a better and more in-depth understanding of mathematics in the forms in which it has been associated with all fields [...]

  • Article
  • Open Access
666 Views
32 Pages

7 April 2025

In this paper, we consider a problem of decreasing the summation order in the Abel-Lidskii sense. The problem has a significant prehistory since 1962 created by such mathematicians as Lidskii V.B., Katsnelson V.E., Matsaev V.I., Agranovich M.S. As a...

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Mathematics - ISSN 2227-7390