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Mathematics, Volume 11, Issue 16

August-2 2023 - 184 articles

Cover Story: Simple closed formulas for endpoint geodesics on Graßmann manifolds are presented. In addition to realizing the shortest distance between two points, geodesics are also essential tools to generate more sophisticated curves that solve higher order interpolation problems on manifolds. This will be illustrated with the geometric de Casteljau construction offering an excellent alternative to the variational approach which gives rise to Riemannian polynomials and splines. View this paper
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Articles (184)

  • Article
  • Open Access
5 Citations
2,057 Views
18 Pages

21 August 2023

This paper proposes an improved algorithm applied to path planning for the inspection of unmanned aerial vehicles (UAVs) in urban pipe corridors, which introduces a collaborative game between spherical vector particle swarm optimization (SPSO) and di...

  • Article
  • Open Access
17 Citations
1,872 Views
28 Pages

21 August 2023

The discrete Shmaliy moment transform (DST) is a type of discrete orthogonal moment transform that is widely used in signal and image processing. However, DST is not suitable for lossless image applications due to its non-integer reversible nature. T...

  • Article
  • Open Access
1,813 Views
18 Pages

Numerical Investigation on Suction Flow Control Technology for a Blunt Trailing Edge Hydrofoil

  • Peng Yang,
  • Chiye Zhang,
  • Hongyeyu Yan,
  • Yifan Ren,
  • Changliang Ye,
  • Yaguang Heng and
  • Yuan Zheng

21 August 2023

The generation of hydro-mechanical resonance is related to the transition of the boundary layer and the development of vortex shedding. The application effect of suction control in hydrodynamics is equally deserving of consideration as an active cont...

  • Article
  • Open Access
9 Citations
1,926 Views
15 Pages

21 August 2023

In this paper, an improved Internet of Things (IoT) network security situation assessment model is designed to solve the problems arising from the existing IoT network security situation assessment approach regarding feature extraction, validity, and...

  • Review
  • Open Access
22 Citations
5,023 Views
28 Pages

A Survey on Fair Allocation of Chores

  • Hao Guo,
  • Weidong Li and
  • Bin Deng

21 August 2023

Wherever there is group life, there has been a social division of labor and resource allocation, since ancient times. Examples include ant colonies, bee colonies, and wolf colonies. Different roles are responsible for different tasks. The same is tru...

  • Article
  • Open Access
8 Citations
4,255 Views
20 Pages

21 August 2023

Passion fruit, renowned for its significant nutritional, medicinal, and economic value, is extensively cultivated in subtropical regions such as China, India, and Vietnam. In the production and processing industry, the quality grading of passion frui...

  • Article
  • Open Access
2 Citations
1,939 Views
22 Pages

21 August 2023

Due to CO2 emissions, humans are encountering grave environmental crises (e.g., rising sea levels and the grim future of submerged cities). Governments have begun to offset emissions by constructing emission-trading schemes (carbon-offset markets). I...

  • Article
  • Open Access
2 Citations
1,985 Views
16 Pages

21 August 2023

Over the past decade, Convolutional Neural Networks (CNNs) have been extensively deployed in security-critical areas; however, the security of CNN models is threatened by adversarial attacks. Decision-based adversarial attacks, wherein an attacker re...

  • Article
  • Open Access
2 Citations
4,376 Views
14 Pages

21 August 2023

This paper analyzes the stochastic properties of consumer sentiment to understand how they affected the luxury sector in the United States before and after COVID-19. The results were derived using fractional integration methodologies and suggest that...

  • Article
  • Open Access
2 Citations
1,936 Views
33 Pages

21 August 2023

In the modern catering business model, restaurants usually use established platforms to promote their food and use two channels to sell their food: online and offline sales. We construct demand functions for online and offline, considering promotion...

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Mathematics - ISSN 2227-7390