Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons
Jan Chvalina,
Bedřich Smetana,
Jana Vyroubalová
Affiliations
Jan Chvalina
Department of Mathematics, Faculty of Electrical Engineeering and Comunication, Brno University of Technology, Technická 8, 616 00 Brno, Czech Republic
Bedřich Smetana
Department of Quantitative Methods, University of Defence, Kounicova 65, 662 10 Brno, Czech Republic
Jana Vyroubalová
Department of Mathematics, Faculty of Electrical Engineeering and Comunication, Brno University of Technology, Technická 8, 616 00 Brno, Czech Republic
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.
