You are currently viewing a new version of our website. To view the old version click .

Mathematics, Volume 9, Issue 22

November-2 2021 - 153 articles

  • Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
  • You may sign up for email alerts to receive table of contents of newly released issues.
  • PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.
Cover Story: The problem of multicriteria optimization of a dynamic model is solved using the methods of similarity theory and criteria importance theory. The authors propose an original model of a positional system with two hydraulic actuators, synchronously moving a heavy object with a given accuracy. In order to reduce the number of optimizing parameters, the mathematical model of the system is presented in a dimensionless form. Three dimensionless optimization criteria that characterize the accuracy, size, and quality of the dynamic positioning process are considered. It is shown that the application of the criteria importance method significantly reduces the Pareto set (the set of the best solutions). This opens up the possibility of reducing many optimal solutions to one solution, which greatly facilitates the choice of parameters when designing a mechanical object. View this paper

Articles (153)

  • Article
  • Open Access
1 Citations
2,749 Views
13 Pages

Automatic Image Characterization of Psoriasis Lesions

  • Javier Martínez-Torres,
  • Alicia Silva Piñeiro,
  • Álvaro Alesanco,
  • Ignacio Pérez-Rey and
  • José García

22 November 2021

Psoriasis is a chronic skin disease that affects 125 million people worldwide and, particularly, 2% of the Spanish population, characterized by the appearance of skin lesions due to a growth of the epidermis that is seven times larger than usual. Its...

  • Article
  • Open Access
15 Citations
5,373 Views
30 Pages

Professional Development in Mathematics Education—Evaluation of a MOOC on Outdoor Mathematics

  • Eugenia Taranto,
  • Simone Jablonski,
  • Tomas Recio,
  • Christian Mercat,
  • Elisabete Cunha,
  • Claudia Lázaro,
  • Matthias Ludwig and
  • Maria Flavia Mammana

22 November 2021

In this paper, we examine the impact of a massive open online course (MOOC) in the context of outdoor mathematics on the participating teachers’ professional development. We firstly introduce the theoretical background on outdoor mathematics, f...

  • Article
  • Open Access
2,694 Views
14 Pages

Multimodal Identification Based on Fingerprint and Face Images via a Hetero-Associative Memory Method

  • Qi Han,
  • Heng Yang,
  • Tengfei Weng,
  • Guorong Chen,
  • Jinyuan Liu and
  • Yuan Tian

22 November 2021

Multimodal identification, which exploits biometric information from more than one biometric modality, is more secure and reliable than unimodal identification. Face recognition and fingerprint recognition have received a lot of attention in recent y...

  • Article
  • Open Access
6 Citations
2,177 Views
12 Pages

22 November 2021

In this paper, we establish the boundedness of the Calderón operator on local Morrey spaces with variable exponents. We obtain our result by extending the extrapolation theory of Rubio de Francia to the local Morrey spaces with variable expone...

  • Article
  • Open Access
23 Citations
2,434 Views
14 Pages

22 November 2021

This paper is devoted to derive optimality conditions and duality theorems for interval-valued optimization problems based on gH-symmetrically derivative. Further, the concepts of symmetric pseudo-convexity and symmetric quasi-convexity for interval-...

  • Article
  • Open Access
17 Citations
3,026 Views
9 Pages

22 November 2021

In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differen...

  • Article
  • Open Access
2 Citations
2,364 Views
12 Pages

22 November 2021

This paper first proposes a new and enhanced second order cone programming relaxation using the simultaneous matrix diagonalization technique for the linearly constrained quadratic fractional programming problem. The problem has wide applications in...

  • Article
  • Open Access
7 Citations
2,903 Views
15 Pages

A Novel Hybrid Approach: Instance Weighted Hidden Naive Bayes

  • Liangjun Yu,
  • Shengfeng Gan,
  • Yu Chen and
  • Dechun Luo

22 November 2021

Naive Bayes (NB) is easy to construct but surprisingly effective, and it is one of the top ten classification algorithms in data mining. The conditional independence assumption of NB ignores the dependency between attributes, so its probability estim...

  • Article
  • Open Access
12 Citations
6,266 Views
20 Pages

Efficient or Fractal Market Hypothesis? A Stock Indexes Modelling Using Geometric Brownian Motion and Geometric Fractional Brownian Motion

  • Vasile Brătian,
  • Ana-Maria Acu,
  • Camelia Oprean-Stan,
  • Emil Dinga and
  • Gabriela-Mariana Ionescu

22 November 2021

In this article, we propose a test of the dynamics of stock market indexes typical of the US and EU capital markets in order to determine which of the two fundamental hypotheses, efficient market hypothesis (EMH) or fractal market hypothesis (FMH), b...

of 16