From positional representation of numbers to positional representation of vectors

Autor: Izabella Ingrid Farkas, Edita Pelantová, Milena Svobodová
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Acta Polytechnica, Vol 63, Iss 3 (2023)
Druh dokumentu: article
ISSN: 1805-2363
DOI: 10.14311/AP.2023.63.0188
Popis: To represent real m-dimensional vectors, a positional vector system given by a non-singular matrix M ∈ ℤm×m and a digit set Ɗ ⊂ ℤm is used. If m = 1, the system coincides with the well known numeration system used to represent real numbers. We study some properties of the vector systems which are transformable from the case m = 1 to higher dimensions. We focus on an algorithm for parallel addition and on systems allowing an eventually periodic representation of vectors with rational coordinates.
Databáze: Directory of Open Access Journals