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Mathematics, Volume 10, Issue 16

August-2 2022 - 204 articles

Cover Story: Riemannian geometry was first put forward in generality by Bernhard Riemann in the 19th century. In turn, Solomon Hadamard made significant contributions to Riemannian differential geometry and partial differential equations. The following theorem bearing his name is well known: A complete, simply connected Riemannian manifold of nonpositive sectional curvature is diffeomorphic to the Euclidean space. Therefore, it is called a Hadamard manifold. The generalizations of Riemannian manifolds were used by Albert Einstein in the General Theory of Relativity. In our article, we prove several Liouville-type theorems for isometric and harmonic self-diffeomorphisms of Hadamard manifolds, as well as Liouville-type theorems for Killing-Yano, symmetric Killing and harmonic tensors on Hadamard manifolds. View this paper
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Articles (204)

  • Article
  • Open Access
6 Citations
3,425 Views
13 Pages

On the Conditional Value at Risk Based on the Laplace Distribution with Application in GARCH Model

  • Malik Zaka Ullah,
  • Fouad Othman Mallawi,
  • Mir Asma and
  • Stanford Shateyi

22 August 2022

In this article, the Laplace distribution is employed in lieu of the well-known normal distribution for finding better scalar values of risk. Explicit formulas for value-at-risk (VaR) and conditional value-at-risk (CVaR) are studied and used to manag...

  • Review
  • Open Access
60 Citations
9,425 Views
60 Pages

Reinforcement Learning-Based Routing Protocols in Flying Ad Hoc Networks (FANET): A Review

  • Jan Lansky,
  • Saqib Ali,
  • Amir Masoud Rahmani,
  • Mohammad Sadegh Yousefpoor,
  • Efat Yousefpoor,
  • Faheem Khan and
  • Mehdi Hosseinzadeh

22 August 2022

In recent years, flying ad hoc networks have attracted the attention of many researchers in industry and universities due to easy deployment, proper operational costs, and diverse applications. Designing an efficient routing protocol is challenging d...

  • Article
  • Open Access
5 Citations
1,997 Views
20 Pages

21 August 2022

Early warnings are an indispensable part of emergency management, which is a powerful way to eliminate or reduce the negative impacts caused by emergencies in advance. Early warning problems have been discussed from different perspectives and have ob...

  • Article
  • Open Access
22 Citations
3,108 Views
23 Pages

A New Robust and Secure 3-Level Digital Image Watermarking Method Based on G-BAT Hybrid Optimization

  • Kilari Jyothsna Devi,
  • Priyanka Singh,
  • Jatindra Kumar Dash,
  • Hiren Kumar Thakkar,
  • José Santamaría,
  • Musalreddy Venkata Jayanth Krishna and
  • Antonio Romero-Manchado

21 August 2022

This contribution applies tools from the information theory and soft computing (SC) paradigms to the embedding and extraction of watermarks in aerial remote sensing (RS) images to protect copyright. By the time 5G came along, Internet usage had alrea...

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

Using Matlab/Simulink Software Package to Investigate Fault Behaviors in HVDC System

  • Olumoroti Ikotun,
  • Ephraim Bonah Agyekum,
  • Emad M. Ahmed and
  • Salah Kamel

21 August 2022

Existing studies show that several performance issues will arise in the HVDC link during the three phase-to-ground fault at the side of the inverter and that the DC voltage will oscillate around zero and will not affect the rectifier of the AC system...

  • Article
  • Open Access
79 Citations
2,898 Views
20 Pages

Insight into Dynamic of Mono and Hybrid Nanofluids Subject to Binary Chemical Reaction, Activation Energy, and Magnetic Field through the Porous Surfaces

  • Qadeer Raza,
  • M. Zubair Akbar Qureshi,
  • Behzad Ali Khan,
  • Ahmed Kadhim Hussein,
  • Bagh Ali,
  • Nehad Ali Shah and
  • Jae Dong Chung

21 August 2022

The mathematical modeling of the activation energy and binary chemical reaction system with six distinct types of nanoparticles, along with the magnetohydrodynamic effect, is studied in this paper. Different types of hybrid nanofluids flowing over po...

  • Feature Paper
  • Article
  • Open Access
1 Citations
2,544 Views
11 Pages

On Hermite Functions, Integral Kernels, and Quantum Wires

  • Silvestro Fassari,
  • Manuel Gadella,
  • Luis M. Nieto and
  • Fabio Rinaldi

21 August 2022

In this note, we first evaluate and subsequently achieve a rather accurate approximation of a scalar product, the calculation of which is essential in order to determine the ground state energy in a two-dimensional quantum model. This scalar product...

  • Article
  • Open Access
8 Citations
3,060 Views
18 Pages

Reliability Assessment of an Unscented Kalman Filter by Using Ellipsoidal Enclosure Techniques

  • Andreas Rauh,
  • Stefan Wirtensohn,
  • Patrick Hoher,
  • Johannes Reuter and
  • Luc Jaulin

21 August 2022

The Unscented Kalman Filter (UKF) is widely used for the state, disturbance, and parameter estimation of nonlinear dynamic systems, for which both process and measurement uncertainties are represented in a probabilistic form. Although the UKF can oft...

  • Article
  • Open Access
19 Citations
4,419 Views
16 Pages

20 August 2022

Risk propagation is occurring as an exceptional challenge to supply chain management. Identifying which supplier has the greater possibility of interruptions is pivotal for managing the occurrence of these risks, which have a significant impact on th...

  • Article
  • Open Access
6 Citations
2,288 Views
31 Pages

20 August 2022

The Weierstrass curve X is a smooth algebraic curve determined by the Weierstrass canonical form, yr+A1(x)yr−1+A2(x)yr−2+⋯+Ar−1(x)y+Ar(x)=0, where r is a positive integer, and each Aj is a polynomial in x with a certain degree...

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Mathematics - ISSN 2227-7390