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Mathematics, Volume 10, Issue 8

April-2 2022 - 150 articles

Cover Story:

Lepage forms represent a far-going generalization of a 1-form, introduced by E. Cartan in the 1920s within the framework of the calculus of variations of simple integrals and classical mechanics. The generalization, offered by D. Krupka, is motivated by the work of Th. Lepage in the 1940s. These objects define the same variational functional as it is prescribed by a given Lagrangian, and moreover, variational objects (as variations, extremals, or Noether’s type invariance) are globally characterized in terms of geometric operations acting on the Lepage equivalents of a Lagrangian.

Here, a second-order extension of the fundamental Lepage form of the calculus of variations over fibered manifolds with 2-dimensional base is described via order-reducibility of the generalized Poincaré–Cartan form. View this paper

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Articles (150)

  • Article
  • Open Access
8 Citations
3,628 Views
22 Pages

Artificial Neural Based Speed and Flux Estimators for Induction Machine Drives with Matlab/Simulink

  • Ahmed A. Zaki Diab,
  • Mohammed A. Elsawy,
  • Kotin A. Denis,
  • Salem Alkhalaf and
  • Ziad M. Ali

18 April 2022

In this paper, an Artificial Neural Network (ANN) for accurate estimation of the speed and flux for induction motor (IM) drives has been presented for industrial applications such as electric vehicles (EVs). Two ANN estimators have been designed, one...

  • Article
  • Open Access
1 Citations
2,217 Views
17 Pages

18 April 2022

We develop a technique for obtaining the fourth moment bound on the normal approximation of F, where F is an Rd-valued random vector whose components are functionals of Gaussian fields. This study transcends the case of vectors of multiple stochastic...

  • Article
  • Open Access
22 Citations
3,221 Views
26 Pages

18 April 2022

Due to the disturbance effect of excavation, the original stress is redistributed, resulting in an excavation damaged zone around the roadway. It is significant to predict the thickness of an excavation damaged zone because it directly affects the st...

  • Article
  • Open Access
2 Citations
1,665 Views
14 Pages

18 April 2022

The purpose of this paper is to present a numerical method for solving a generalized equilibrium problem involving a Lipschitz continuous and monotone mapping in a Hilbert space. The proposed method can be viewed as an improvement of the Tseng’...

  • Article
  • Open Access
1 Citations
2,164 Views
13 Pages

18 April 2022

Structural conditions and population characteristics of countries have been identified in the literature as factors for an individual to become, or to have intentions of becoming, an entrepreneur. However, this is still a subject under research, whic...

  • Article
  • Open Access
20 Citations
2,822 Views
31 Pages

MHD Natural Convection and Radiation over a Flame in a Partially Heated Semicircular Cavity Filled with a Nanofluid

  • Obai Younis,
  • Milad Alizadeh,
  • Ahmed Kadhim Hussein,
  • Bagh Ali,
  • Uddhaba Biswal and
  • Emad Hasani Malekshah

18 April 2022

The numerical analysis of MHD-free convective heat transfer and its interaction with the radiation over a heated flame inside a porous semicircular cavity loaded with SWCNTs–water nanofluid was explored for the very first time in the present wo...

  • Article
  • Open Access
14 Citations
2,979 Views
17 Pages

18 April 2022

Owing to the complex dynamics of quadrotor unmanned aerial vehicles (UAVs) and their susceptibility to unknown interferences in an actual working environment, the flight control accuracy of UAVs is extremely high. Moreover, their anti-interference ab...

  • Article
  • Open Access
14 Citations
2,743 Views
13 Pages

18 April 2022

Grouting is one of the main technical means to prevent water inrush hazards in coal seam floor aquifers. It is of great significance to elucidate the diffusion law of slurry in the process of grouting in fractured aquifers for safe mining in coal min...

  • Article
  • Open Access
6 Citations
2,804 Views
16 Pages

Contextual Semantic-Guided Entity-Centric GCN for Relation Extraction

  • Jun Long,
  • Lei Liu,
  • Hongxiao Fei,
  • Yiping Xiang,
  • Haoran Li,
  • Wenti Huang and
  • Liu Yang

18 April 2022

Relation extraction tasks aim to predict potential relations between entities in a target sentence. As entity mentions have ambiguity in sentences, some important contextual information can guide the semantic representation of entity mentions to impr...

  • Article
  • Open Access
7 Citations
2,405 Views
19 Pages

The Generalization of the Brusov–Filatova–Orekhova Theory for the Case of Payments of Tax on Profit with Arbitrary Frequency

  • Peter Brusov,
  • Tatiana Filatova,
  • Natali Orekhova,
  • Veniamin Kulik,
  • She-I Chang and
  • George Lin

18 April 2022

Both main theories of capital cost and capital structure—the Brusov–Filatova–Orekhova (BFO) theory and its perpetuity limit, the Modigliani–Miller theory—consider the payments of tax on profit once per year, while in real economy these payments are m...

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Mathematics - ISSN 2227-7390Creative Common CC BY license