From positional representation of numbers to positional representation of vectors
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Published:2023-07-04
Issue:3
Volume:63
Page:
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ISSN:1805-2363
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Container-title:Acta Polytechnica
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language:
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Short-container-title:Acta Polytech
Author:
Farkas Izabella Ingrid,Pelantová Edita,Svobodová Milena
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.
Publisher
Czech Technical University in Prague - Central Library
Subject
General Engineering