From positional representation of numbers to positional representation of vectors
dc.contributor.author | Farkas, Izabella Ingrid | |
dc.contributor.author | Pelantová, Edita | |
dc.contributor.author | Svobodová, Milena | |
dc.date.accessioned | 2023-09-19T11:15:16Z | |
dc.date.available | 2023-09-19T11:15:16Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Acta Polytechnica. 2023, vol. 63, no. 3, p. 188–198. | |
dc.identifier.issn | 1210-2709 (print) | |
dc.identifier.issn | 1805-2363 (online) | |
dc.identifier.uri | http://hdl.handle.net/10467/111902 | |
dc.description.abstract | 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. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | České vysoké učení technické v Praze | cs |
dc.publisher | Czech Technical University in Prague | en |
dc.relation.ispartofseries | Acta Polytechnica | |
dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/ap/article/view/8536 | |
dc.rights | Creative Commons Attribution 4.0 International License | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.title | From positional representation of numbers to positional representation of vectors | |
dc.type | article | en |
dc.date.updated | 2023-09-19T11:15:16Z | |
dc.identifier.doi | 10.14311/AP.2023.63.0188 | |
dc.rights.access | openAccess | |
dc.type.status | Peer-reviewed | |
dc.type.version | publishedVersion |
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