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Mathematics, Volume 9, Issue 5

March-1 2021 - 128 articles

Cover Story: Pantograph-type equations are used in biology, astrophysics, electrodynamics, number theory, graph theory, stochastic games, theory of neural networks, etc. The analogy principle allows one to construct exact solutions for nonlinear pantograph-type PDEs using solutions of simpler PDEs. Exact solutions of such PDEs are described for the first time. View this paper.
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Articles (128)

  • Article
  • Open Access
2 Citations
3,332 Views
21 Pages

RiskLogitboost Regression for Rare Events in Binary Response: An Econometric Approach

  • Jessica Pesantez-Narvaez,
  • Montserrat Guillen and
  • Manuela Alcañiz

9 March 2021

A boosting-based machine learning algorithm is presented to model a binary response with large imbalance, i.e., a rare event. The new method (i) reduces the prediction error of the rare class, and (ii) approximates an econometric model that allows in...

  • Article
  • Open Access
2 Citations
2,499 Views
21 Pages

9 March 2021

This paper examines the added value of a digital tool that constitutes a new model to introduce students to multiplication. Drawing on the theory of semiotic mediation, the semiotic potential of this new model is analysed with respect to the same tas...

  • Article
  • Open Access
2,537 Views
16 Pages

Random Sampling Many-Dimensional Sets Arising in Control

  • Pavel Shcherbakov,
  • Mingyue Ding and
  • Ming Yuchi

9 March 2021

Various Monte Carlo techniques for random point generation over sets of interest are widely used in many areas of computational mathematics, optimization, data processing, etc. Whereas for regularly shaped sets such sampling is immediate to arrange,...

  • Article
  • Open Access
6 Citations
3,978 Views
15 Pages

Bayesian Analysis of Population Health Data

  • Dorota Młynarczyk,
  • Carmen Armero,
  • Virgilio Gómez-Rubio and
  • Pedro Puig

9 March 2021

The analysis of population-wide datasets can provide insight on the health status of large populations so that public health officials can make data-driven decisions. The analysis of such datasets often requires highly parameterized models with diffe...

  • Article
  • Open Access
1 Citations
2,810 Views
16 Pages

A Topological View of Reed–Solomon Codes

  • Alberto Besana and
  • Cristina Martínez

9 March 2021

We studied a particular class of well known error-correcting codes known as Reed–Solomon codes. We constructed RS codes as algebraic-geometric codes from the normal rational curve. This approach allowed us to study some algebraic representations of R...

  • Article
  • Open Access
2,454 Views
27 Pages

Analysis and Correction of the Attack against the LPN-Problem Based Authentication Protocols

  • Siniša Tomović,
  • Milica Knežević and
  • Miodrag J. Mihaljević

8 March 2021

This paper reconsiders a powerful man-in-the-middle attack against Random-HB# and HB# authentication protocols, two prominent representatives of the HB family of protocols, which are built based on the Learning Parity in Noise (LPN) problem. A recent...

  • Article
  • Open Access
34 Citations
4,371 Views
18 Pages

Numerical Modeling of the Spread of Cough Saliva Droplets in a Calm Confined Space

  • Sergio A. Chillón,
  • Ainara Ugarte-Anero,
  • Iñigo Aramendia,
  • Unai Fernandez-Gamiz and
  • Ekaitz Zulueta

8 March 2021

The coronavirus disease 2019 (COVID-19) outbreak has altered the lives of everyone on a global scale due to its high transmission rate. In the current work, the droplet dispersion and evaporation originated by a cough at different velocities is studi...

  • Article
  • Open Access
7 Citations
2,334 Views
23 Pages

On the Computation of Some Interval Reliability Indicators for Semi-Markov Systems

  • Guglielmo D’Amico,
  • Raimondo Manca,
  • Filippo Petroni and
  • Dharmaraja Selvamuthu

8 March 2021

In this paper, we computed general interval indicators of availability and reliability for systems modelled by time non-homogeneous semi-Markov chains. First, we considered duration-dependent extensions of the Interval Reliability and then, we determ...

  • Article
  • Open Access
32 Citations
4,195 Views
20 Pages

8 March 2021

The design of switched reluctance motor (SRM) is considered a complex problem to be solved using conventional design techniques. This is due to the large number of design parameters that should be considered during the design process. Therefore, opti...

  • Article
  • Open Access
53 Citations
4,043 Views
22 Pages

7 March 2021

Nanoplates have been extensively utilized in the recent years for applications in nanoengineering as sensors and actuators. Due to their operative nanoscale, the mechanical behavior of such structures might also be influenced by inter-atomic material...

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Mathematics - ISSN 2227-7390