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Mathematics, Volume 12, Issue 22

November-2 2024 - 187 articles

Cover Story: The article derives novel degree sequence-based bounds on matching numbers, valid for any simple graph. The figure shows an application in number theory: the first 200 prime gaps are represented as node degrees in a simple graph and are generated via the degree-preserving growth (DPG) mechanism. The DPG builds an ever-growing graph sequence by joining a newly incoming node of a given degree (the next prime gap value) to the nodes of a randomly selected matching of proper size, then discarding the edges of the matching. The incoming nodes’ degrees constrain the size of the matching that can be selected, which, in turn, constrains the sizes of the future incoming degrees. It has previously been proven, however, that, for the prime gap sequence, this process can be continued indefinitely, if the Riemann hypothesis holds. View this paper
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Articles (187)

  • Article
  • Open Access
9 Citations
2,960 Views
20 Pages

A Novel Outlier-Robust Accuracy Measure for Machine Learning Regression Using a Non-Convex Distance Metric

  • Ahmad B. Hassanat,
  • Mohammad Khaled Alqaralleh,
  • Ahmad S. Tarawneh,
  • Khalid Almohammadi,
  • Maha Alamri,
  • Abdulkareem Alzahrani,
  • Ghada A. Altarawneh and
  • Rania Alhalaseh

20 November 2024

Regression, a supervised machine learning approach, establishes relationships between independent variables and a continuous dependent variable. It is widely applied in areas like price prediction and time series forecasting. The performance of regre...

  • Feature Paper
  • Article
  • Open Access
967 Views
18 Pages

20 November 2024

Let Λ be the algebra of symmetric functions. We introduce Stirling partitions, factorial partition polynomials, partition differential equations and their corresponding partitions, and partition primitive functions. Most importantly, this inve...

  • Article
  • Open Access
7 Citations
4,277 Views
28 Pages

High-Performance Real-Time Human Activity Recognition Using Machine Learning

  • Pardhu Thottempudi,
  • Biswaranjan Acharya and
  • Fernando Moreira

20 November 2024

Human Activity Recognition (HAR) is a vital technology in domains such as healthcare, fitness, and smart environments. This paper presents an innovative HAR system that leverages machine-learning algorithms deployed on the B-L475E-IOT01A Discovery Ki...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,209 Views
12 Pages

20 November 2024

In this paper, the symmetries and conservation laws of a variable-coefficient generalized Calogero–Bogoyavlenskii–Schiff (vcGCBS) equation are investigated by modeling the propagation of long waves in nonlinear optics, fluid dynamics, and...

  • Article
  • Open Access
1,269 Views
19 Pages

Hypersingular Integral Equations Encountered in Problems of Mechanics

  • Suren M. Mkhitaryan,
  • Hovik A. Matevossian,
  • Eghine G. Kanetsyan and
  • Musheg S. Mkrtchyan

20 November 2024

In the paper, for hypersingular integral equations with new kernels, a solution is constructed using an approach based on Chebyshev orthogonal polynomials and the principle of contraction mappings. Integrals in hypersingular integral equations are un...

  • Article
  • Open Access
1,681 Views
14 Pages

20 November 2024

Bioactive peptides play essential roles in various biological processes and hold significant therapeutic potential. However, predicting the functions of these peptides is challenging due to their diversity and complexity. Here, we develop TF-BAPred,...

  • Article
  • Open Access
4 Citations
1,077 Views
17 Pages

20 November 2024

When researchers conduct surveys seeking sensitive, socially stigmatized information, respondents, on average, modify their answers to represent themselves favorably. To overcome this issue, researchers may use Randomized Response Technique (RRT) mod...

  • Article
  • Open Access
1 Citations
1,157 Views
18 Pages

Human-Machine Function Allocation Method for Submersible Fault Detection Tasks

  • Chenyuan Yang,
  • Liping Pang,
  • Wentao Wu and
  • Xiaodong Cao

19 November 2024

The operation and support (OS) officer is responsible for buoyancy regulation and fault detection of onboard equipment in the civil submersible. The OS officer carries out the above tasks through the human-machine interface (HMI) of a submersible buo...

  • Article
  • Open Access
3 Citations
1,628 Views
17 Pages

A Fuzzy AHP and PCA Approach to the Role of Media in Improving Education and the Labor Market in the 21st Century

  • Branislav Sančanin,
  • Aleksandra Penjišević,
  • Dušan J. Simjanović,
  • Branislav M. Ranđelović,
  • Nenad O. Vesić and
  • Maja Mladenović

19 November 2024

In a hyperproductive interactive environment, where speed and cost-effectiveness often overshadow accuracy, the media’s role is increasingly shifting towards an educational function, beyond its traditional informative and entertaining roles. Th...

  • Article
  • Open Access
1,116 Views
16 Pages

Fuzzy Coalition Graphs: A Framework for Understanding Cooperative Dominance in Uncertain Networks

  • Yongsheng Rao,
  • Srinath Ponnusamy,
  • Sundareswaran Raman,
  • Aysha Khan and
  • Jana Shafi

19 November 2024

In a fuzzy graph G, a fuzzy coalition is formed by two disjoint vertex sets V1 and V2, neither of which is a strongly dominating set, but the union V1∪V2 forms a strongly dominating set. A fuzzy coalition partition of G is defined as Π={V1,V2,...

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Mathematics - ISSN 2227-7390