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Mathematics, Volume 12, Issue 13

July-1 2024 - 227 articles

Cover Story: The theory of fiber bundles forms a fundamental and versatile basis for many applications in mathematics and physics. A special class are the principal bundles, where the fiber is a torsor—a free group-space homeomorphic to the group. Inspired by adiabatic quantum mechanics, this work considers group-spaces where the fibers are generalized to disjoint unions of torsors, called semi-torsors, which then form semi-principal bundles. These extend the principal bundles, and similarly support equivariant parallel transport. The main difference is that this parallel transport may now end up in a different group orbit, meaning that group translations can no longer describe the situation. This can be mediated by introducing frames of group-spaces, which supply the needed reference points and enable the passage to a (principal) frame bundle. View this paper
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Articles (227)

  • Article
  • Open Access
2 Citations
1,600 Views
12 Pages

8 July 2024

This paper introduces a novel electricity load time-series prediction model, utilizing a broad learning system to tackle the challenge of low prediction accuracy caused by the unpredictable nature of electricity load sequences in a specific region of...

  • Article
  • Open Access
1,767 Views
30 Pages

A Fuzzy-Based Approach for Flexible Modeling and Management of Freshwater Fish Farming

  • Ahmed M. Gadallah,
  • Sameh A. Elsayed,
  • Shaymaa Mousa and
  • Hesham A. Hefny

8 July 2024

Most populated developing countries having water resources, like Egypt, are interested in aquaculture since it supplies around 30% of the cheap protein consumed by customers. Increasing the production of aquaculture, specifically fish farming, in suc...

  • Article
  • Open Access
2 Citations
1,195 Views
17 Pages

Multistep Iterative Methods for Solving Equations in Banach Space

  • Ramandeep Behl,
  • Ioannis K. Argyros,
  • Sattam Alharbi,
  • Hashim Alshehri and
  • Michael Argyros

8 July 2024

The novelty of this article lies in the fact that we extend the use of a multistep method for developing a sequence whose limit solves a Banach space-valued equation. We suggest the error estimates, local convergence, and semi-local convergence, a ra...

  • Article
  • Open Access
1 Citations
1,228 Views
14 Pages

8 July 2024

In contemporary networked control systems (NCSs), ensuring robust and adaptive security measures against dynamic threats like jamming attacks is crucial. These attacks can disrupt the control signals, leading to degraded performance or even catastrop...

  • Article
  • Open Access
3 Citations
1,729 Views
18 Pages

8 July 2024

Achieving accurate equipment fault diagnosis relies heavily on the availability of extensive, high-quality training data, which can be difficult to obtain, particularly for models with new equipment. The challenge is further compounded by the need to...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,108 Views
21 Pages

8 July 2024

Process capability indices are widely utilized to evaluate process performance and drive continuous improvements in quality and productivity. Among these indices, the the-larger-the-better lifetime performance index is particularly noteworthy. For pr...

  • Article
  • Open Access
4 Citations
2,750 Views
21 Pages

7 July 2024

In today’s complex and dynamic transportation networks, increasing energy costs and adverse environmental impacts necessitate the efficient transport of goods or raw materials across a network to minimize all related costs through vehicle assig...

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Mathematics - ISSN 2227-7390Creative Common CC BY license