From positional representation of numbers to positional representation of vectors

نویسندگان

چکیده

To represent real m-dimensional vectors, a positional vector system given by non-singular matrix M ∈ ℤm×m and digit set Ɗ ⊂ ℤm is used. If m = 1, the coincides with well known numeration used to numbers. We study some properties of systems which are transformable from case 1 higher dimensions. focus on an algorithm for parallel addition allowing eventually periodic representation vectors rational coordinates.

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ژورنال

عنوان ژورنال: Acta Polytechnica

سال: 2023

ISSN: ['1210-2709', '1805-2363']

DOI: https://doi.org/10.14311/ap.2023.63.0188