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FROM POSITIONAL REPRESENTATION OF NUMBERS TO POSITIONAL REPRESENTATION OF VECTORS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00370991" target="_blank" >RIV/68407700:21340/23:00370991 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.14311/AP.2023.63.0188" target="_blank" >https://doi.org/10.14311/AP.2023.63.0188</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.14311/AP.2023.63.0188" target="_blank" >10.14311/AP.2023.63.0188</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    FROM POSITIONAL REPRESENTATION OF NUMBERS TO POSITIONAL REPRESENTATION OF VECTORS

  • Original language description

    . To represent real m-dimensional vectors, a positional vector system given by a non-singular matrix M & ISIN; Zmxm and a digit set D & SUB; 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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2023

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Acta Polytechnica

  • ISSN

    1210-2709

  • e-ISSN

    1805-2363

  • Volume of the periodical

    63

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    11

  • Pages from-to

    188-198

  • UT code for WoS article

    001026242500004

  • EID of the result in the Scopus database

    2-s2.0-85165909075