Publication detail

Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons

CHVALINA, J. SMETANA, B. VYROUBALOVÁ, J.

Original Title

Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons

Type

journal article in Web of Science

Language

English

Original Abstract

Infinite cyclic groups created by various objects belong to the class to the class basic algebraic structures. In this paper, we construct the infinite cyclic group of differential neurons which are modifications of artificial neurons in analogy to linear ordinary differential operators of the n-th order. We also describe some of their basic properties.

Keywords

time-varying artificial neuron; cyclic group; linear differential operator

Authors

CHVALINA, J.; SMETANA, B.; VYROUBALOVÁ, J.

Released

18. 5. 2022

Publisher

MDPI

Location

BASEL

ISBN

2227-7390

Periodical

Mathematics

Year of study

10

Number

9

State

Swiss Confederation

Pages from

1

Pages to

13

Pages count

13

URL

https://www.mdpi.com/2227-7390/10/9/1571

Full text in the Digital Library

http://hdl.handle.net/11012/204699

BibTex

@article{BUT178130,
  author="Jan {Chvalina} and Bedřich {Smetana} and Jana {Vyroubalová}",
  title="Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons",
  journal="Mathematics",
  year="2022",
  volume="10",
  number="9",
  pages="1--13",
  doi="10.3390/math10091571",
  issn="2227-7390",
  url="https://www.mdpi.com/2227-7390/10/9/1571"
}