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

Mathematics, Volume 8, Issue 12

December 2020 - 163 articles

Cover Story: In the oscillatory regime, inverse methods are required to unveil the time course of the synaptic conductance gsyn(t). We propose a three-step strategy: (1) fit data of a measurable quantity (e.g., the membrane potential v(t)) to a reference model, (2) approximate the period–conductance relationship (T–g curve) associated to the model, and (3) for each interspike time period, estimate gsyn from the T–g curve. View this paper.
  • 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.

Articles (163)

  • Article
  • Open Access
28 Citations
8,362 Views
17 Pages

Auto-Colorization of Historical Images Using Deep Convolutional Neural Networks

  • Madhab Raj Joshi,
  • Lewis Nkenyereye,
  • Gyanendra Prasad Joshi,
  • S. M. Riazul Islam,
  • Mohammad Abdullah-Al-Wadud and
  • Surendra Shrestha

21 December 2020

Enhancement of Cultural Heritage such as historical images is very crucial to safeguard the diversity of cultures. Automated colorization of black and white images has been subject to extensive research through computer vision and machine learning te...

  • Article
  • Open Access
38 Citations
4,981 Views
29 Pages

Picture Fuzzy MCDM Approach for Risk Assessment of Railway Infrastructure

  • Vladimir Simić,
  • Radovan Soušek and
  • Stefan Jovčić

21 December 2020

To increase the level of safety and prevent significant accidents, it is essential to prioritize risk factors and assess railway infrastructure. The key question is how to identify unsafe railway infrastructure so authorities can undertake safety imp...

  • Review
  • Open Access
32 Citations
3,593 Views
35 Pages

21 December 2020

Evaluation of images of special functions under operators of fractional calculus has become a hot topic with hundreds of recently published papers. These are growing daily and we are able to comment here only on a few of them, including also some of...

  • Article
  • Open Access
11 Citations
13,647 Views
15 Pages

21 December 2020

The aim of this paper is to extend, from group theory to hypergroup theory, the class equation and the concept of commutativity degree. Both of them are studied in depth for complete hypergroups because we want to stress the similarities and the diff...

  • Article
  • Open Access
5 Citations
2,540 Views
19 Pages

21 December 2020

This paper presents an adaptive filtering-based maximum likelihood multi-innovation extended stochastic gradient algorithm to identify multivariable equation-error systems with colored noises. The data filtering and model decomposition techniques are...

  • Article
  • Open Access
2 Citations
2,386 Views
11 Pages

Risk Appetite and Jumps in Realized Correlation

  • Riza Demirer,
  • Konstantinos Gkillas,
  • Christos Kountzakis and
  • Amaryllis Mavragani

21 December 2020

This paper examines the role of non-cash flow factors over correlation jumps in financial markets. Utilizing time-varying risk aversion measure as a proxy for investor sentiment and the cross-quantilogram method applied to intraday data, we show that...

  • Article
  • Open Access
18 Citations
2,137 Views
23 Pages

21 December 2020

The existence, uniqueness and uniformly Lp estimates for solutions of a high-order abstract Navier–Stokes problem on half space are derived. The equation involves an abstract operator in a Banach space E and small parameters. Since the Banach s...

  • Article
  • Open Access
14 Citations
5,732 Views
20 Pages

21 December 2020

Algebraic thinking, combinatorial thinking and reasoning skills are considered as playing central roles within teaching and learning in the field of mathematics, particularly in solving complex open-ended mathematical problems Specific relations betw...

  • Article
  • Open Access
9 Citations
3,509 Views
13 Pages

Complex Ginzburg–Landau Equation with Generalized Finite Differences

  • Eduardo Salete,
  • Antonio M. Vargas,
  • Ángel García,
  • Mihaela Negreanu,
  • Juan J. Benito and
  • Francisco Ureña

20 December 2020

In this paper we obtain a novel implementation for irregular clouds of nodes of the meshless method called Generalized Finite Difference Method for solving the complex Ginzburg–Landau equation. We derive the explicit formulae for the spatial de...

  • Article
  • Open Access
8 Citations
3,068 Views
15 Pages

20 December 2020

This study is devoted to the description of the asymptotic expansions of solutions of linear ordinary differential equations with holomorphic coefficients in the neighborhood of an infinitely distant singular point. This is a classical problem of ana...

of 17

Get Alerted

Add your email address to receive forthcoming issues of this journal.

XFacebookLinkedIn
Mathematics - ISSN 2227-7390