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Mathematics, Volume 10, Issue 3

February-1 2022 - 246 articles

Cover Story: A challenging problem in submanifold theory is to obtain simple relationships between the main intrinsic and extrinsic invariants of submanifolds. There is an increased interest in providing answers for this open problem, establishing inequalities for submanifolds in a statistical manifold, a concept introduced by Amari in 1985 in the context of information geometry. The statistical manifolds also have applications in physics, machine learning, statistics, etc. Here, the authors prove some inequalities involving the Chen first invariant and the mean curvature of totally real and holomorphic spacelike submanifolds in statistical manifolds of type para-Kähler space forms. A calculus of optimization theory is used.  In addition, the case of equalities is studied, and some examples are revealed. View this paper
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Articles (246)

  • Article
  • Open Access
3 Citations
2,136 Views
14 Pages

8 February 2022

Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the pointwise definition. So, we can consider the theory of finite subsets of M. Earlier, we have proved...

  • Article
  • Open Access
3 Citations
2,717 Views
25 Pages

8 February 2022

This paper describes, based on both numerical and experimental bases, the evolution of chaotic and, in some cases, hyperchaotic attractors within mathematical models of two two-port analog functional blocks commonly used inside radio-frequency system...

  • Feature Paper
  • Article
  • Open Access
3 Citations
2,650 Views
17 Pages

Multi-Objective Feeder Reconfiguration Using Discrete Particle Swarm Optimization

  • Giresse Franck Noudjiep Djiepkop and
  • Senthil Krishnamurthy

8 February 2022

Electric power distribution systems have been heavily engaged in evolutionary changes toward effective usage of distribution networks for dependability, quality, and improvement of services delivered to customers throughout the years. This was accomp...

  • Article
  • Open Access
56 Citations
7,535 Views
15 Pages

An Efficient Network Intrusion Detection and Classification System

  • Iftikhar Ahmad,
  • Qazi Emad Ul Haq,
  • Muhammad Imran,
  • Madini O. Alassafi and
  • Rayed A. AlGhamdi

8 February 2022

Intrusion detection in computer networks is of great importance because of its effects on the different communication and security domains. The detection of network intrusion is a challenge. Moreover, network intrusion detection remains a challenging...

  • Article
  • Open Access
19 Citations
3,406 Views
28 Pages

Fuzzy-Logic-Based Comparative Analysis of Different Maximum Power Point Tracking Controllers for Hybrid Renewal Energy Systems

  • Mohammad Junaid Khan,
  • Lini Mathew,
  • Majed A. Alotaibi,
  • Hasmat Malik and
  • Mohammed E. Nassar

8 February 2022

There is an increasing demand for power production day by day all over the globe; thus, hybrid frameworks have an essential role in producing sufficient power for the desirable load due to increasing power demand. The proposed hybrid renewable energy...

  • Article
  • Open Access
4 Citations
3,877 Views
8 Pages

A Note on Pareto-Type Distributions Parameterized by Its Mean and Precision Parameters

  • Marcelo Bourguignon,
  • Diego I. Gallardo and
  • Héctor J. Gómez

8 February 2022

Pareto-type distributions are well-known distributions used to fit heavy-tailed data. However, the standard parameterizations used for Pareto-type distributions are poorly suited to modeling. On this note, we suggest new parameterizations that are be...

  • Article
  • Open Access
1,947 Views
11 Pages

8 February 2022

While traffic speed data and travel time estimates are increasingly more available from commercial vendors, they are not sufficient for proper management and performance evaluation of transportation networks. Effective traffic control and demand mana...

  • Article
  • Open Access
2 Citations
2,180 Views
14 Pages

8 February 2022

This paper investigates the global exponential stability of uncertain delayed complex-valued neural networks (CVNNs) under an impulsive controller. Both discrete and distributed time-varying delays are considered, which makes our model more general t...

  • Article
  • Open Access
30 Citations
4,030 Views
17 Pages

Optimal Management of Energy Consumption in an Autonomous Power System Considering Alternative Energy Sources

  • Vadim Manusov,
  • Svetlana Beryozkina,
  • Muso Nazarov,
  • Murodbek Safaraliev,
  • Inga Zicmane,
  • Pavel Matrenin and
  • Anvari Ghulomzoda

8 February 2022

This work aims to analyze and manage the optimal power consumption of the autonomous power system within the Pamir region of Republic of Tajikistan, based on renewable energy sources. The task is solved through linear programming methods, production...

  • Article
  • Open Access
3 Citations
2,509 Views
19 Pages

7 February 2022

Secret image sharing is a hot issue in the research field of data hiding schemes for digital images. This paper proposes a general k,n threshold secret image sharing scheme, which distributes secret data into n meaningful image shadows based on a non...

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Mathematics - ISSN 2227-7390