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Mathematics, Volume 9, Issue 3

February-1 2021 - 93 articles

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Articles (93)

  • Article
  • Open Access
4 Citations
3,385 Views
9 Pages

2 February 2021

The exact solution of the movement equation of the Coriolis vibratory gyroscope (CVG) with a linear law of variation of the angular rate of rotation of the base is given. The solution is expressed in terms of the Weber functions (the parabolic cylind...

  • Article
  • Open Access
1 Citations
2,663 Views
7 Pages

2 February 2021

For a simple graph G=(V,E) with no isolated vertices, a total Roman {3}-dominating function(TR3DF) on G is a function f:V(G)→{0,1,2,3} having the property that (i) ∑w∈N(v)f(w)≥3 if f(v)=0; (ii) ∑w∈N(v)f(w)≥2 if f(v)=1; and (iii) every vertex v with f...

  • Article
  • Open Access
55 Citations
7,828 Views
20 Pages

Computer Vision and Human Behaviour, Emotion and Cognition Detection: A Use Case on Student Engagement

  • Pieter Vanneste,
  • José Oramas,
  • Thomas Verelst,
  • Tinne Tuytelaars,
  • Annelies Raes,
  • Fien Depaepe and
  • Wim Van den Noortgate

1 February 2021

Computer vision has shown great accomplishments in a wide variety of classification, segmentation and object recognition tasks, but tends to encounter more difficulties when tasks require more contextual assessment. Measuring the engagement of studen...

  • Article
  • Open Access
7 Citations
3,515 Views
14 Pages

1 February 2021

In this paper, we apply the pseudospectral method based on the Chebyshev cardinal function to solve the parabolic partial integro-differential equations (PIDEs). Since these equations play a key role in mathematics, physics, and engineering, finding...

  • Feature Paper
  • Article
  • Open Access
1 Citations
2,799 Views
25 Pages

1 February 2021

Given a digital image (or digital object) (X,k),X⊂Zn, this paper initially establishes a group structure of the set of self-k-isomorphisms of (X,k) with the function composition, denoted by Isok(X) or Autk(X). In particular, let Ckn,l be a simple clo...

  • Article
  • Open Access
21 Citations
3,873 Views
34 Pages

1 February 2021

A novel semi-supervised learning method is proposed to better utilize labeled and unlabeled samples to improve classification performance. However, there is exists the limitation that Laplace regularization in a semi-supervised extreme learning machi...

  • Article
  • Open Access
1 Citations
2,656 Views
9 Pages

31 January 2021

We study a class of nonlinear operators that can be written as the composition of a linear operator and a nonlinear map. We obtain results on fixed point index based on parameters that are related to the definitions of nonlinear spectra. As a particu...

  • Article
  • Open Access
7 Citations
2,670 Views
15 Pages

Ordering Awad–Varma Entropy and Applications to Some Stochastic Models

  • Răzvan-Cornel Sfetcu,
  • Sorina-Cezarina Sfetcu and
  • Vasile Preda

31 January 2021

We consider a generalization of Awad–Shannon entropy, namely Awad–Varma entropy, introduce a stochastic order on Awad–Varma residual entropy and study some properties of this order, like closure, reversed closure and preservation in some stochastic m...

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Mathematics - ISSN 2227-7390