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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
26 Citations
2,544 Views
15 Pages

7 February 2022

This article deals with the classes of approximate Minty- and Stampacchia-type vector variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued vector optimization problems. By using the Clarke subdifferentials, we defin...

  • Article
  • Open Access
4 Citations
3,283 Views
103 Pages

7 February 2022

In this manuscript, we present a coherent rigorous overview of the main properties of Sobolev-Slobodeckij spaces of sections of vector bundles on compact manifolds; results of this type are scattered through the literature and can be difficult to fin...

  • Article
  • Open Access
32 Citations
2,843 Views
16 Pages

6 February 2022

A fractional order PID (FOPID) control technique for automatic generation control (AGC) in a multi-area power system is presented in this study. To create a reliable controller, a variety of control strategies were used. The load frequency control (L...

  • Article
  • Open Access
17 Citations
4,470 Views
30 Pages

A Decision-Making Methodology Based on Expert Systems Applied to Machining Tools Condition Monitoring

  • Manuel Casal-Guisande,
  • Alberto Comesaña-Campos,
  • Alejandro Pereira,
  • José-Benito Bouza-Rodríguez and
  • Jorge Cerqueiro-Pequeño

6 February 2022

The workers operating and supervising machining tools are often in charge of monitoring a high number of parameters of the machining process, and they usually make use of, among others, cutting sound signals, for following-up and assessing that proce...

  • Article
  • Open Access
2 Citations
1,991 Views
20 Pages

6 February 2022

The identification of homogeneous groups of actors in a local AHP-multiactor context based on their preferences is an open problem, particularly when the number of decision-makers is high. To solve this problem in the case of using stochastic AHP, th...

  • Article
  • Open Access
6 Citations
2,935 Views
22 Pages

Secure Data Transmission and Image Encryption Based on a Digital-Redesign Sliding Mode Chaos Synchronization

  • Jiunn-Shiou Fang,
  • Jason Sheng-Hong Tsai,
  • Jun-Juh Yan,
  • Li-Huseh Chiang and
  • Shu-Mei Guo

5 February 2022

In this paper, a novel image encryption algorithm based on chaotic synchronization is proposed. First, a digital-redesign sliding mode controller (SMC) is developed to guarantee the chaos synchronization. The digital redesign method makes it possible...

  • Article
  • Open Access
6 Citations
2,337 Views
15 Pages

5 February 2022

With the rapid development of technology, improving product life performance has become a very important issue in recent decades. The lifetime performance index is used in this research for the assessment of the lifetime performance of products follo...

  • Article
  • Open Access
8 Citations
2,172 Views
21 Pages

5 February 2022

Nonadditivity of a fuzzy measure, as an indicator of defectiveness, makes a fuzzy mea-sure less useful in applications compared to additive, probabilistic measures. In order to neutralize this indicator of defectiveness to some degree, it is importan...

  • Article
  • Open Access
10 Citations
4,298 Views
17 Pages

FMEA in Smartphones: A Fuzzy Approach

  • Esmeralda Kadena,
  • Sinan Koçak,
  • Katalin Takács-György and
  • András Keszthelyi

5 February 2022

Smartphones are attracting increasing interest due to how they are revolutionizing our lives. On the other hand, hardware and software failures that occur in them are continually present. This work aims to investigate these failures in a typical smar...

  • Article
  • Open Access
4 Citations
2,367 Views
14 Pages

5 February 2022

In this work, a hybrid localized meshless method is developed for solving transient groundwater flow in two dimensions by combining the Crank–Nicolson scheme and the generalized finite difference method (GFDM). As the first step, the temporal d...

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Mathematics - ISSN 2227-7390