Results 1 to 10 of about 104 (101)
Heliyon, 2021 Pre-Columbian Mesoamerica was a fertile crescent for the development of number systems. A form of vigesimal system seems to have been present from the first Olmec civilization onwards, to which succeeding peoples made contributions.
Berenice Rojo-Garibaldi +3 more
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Automatic sequences: from rational bases to trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 The $n$th term of an automatic sequence is the output of a deterministic finite automaton fed with the representation of $n$ in a suitable numeration system.
Michel Rigo, Manon Stipulanti
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Čislitel'nye v ugorskich jazykach [Numerals in the Ugric Languages] [PDF]
Linguistica Uralica, 2022 Hungarian, Vogul and Ostyak have inherited the majority of their elementary, i. e. uncompounded numerals and other number words not derivated by suffixation from the Uralic, Finno-Ugric and the Ugric protolanguages.
László Honti
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On p/q-recognisable sets [PDF]
Logical Methods in Computer Science, 2021 Let p/q be a rational number. Numeration in base p/q is defined by a function that evaluates each finite word over A_p={0,1,...,p-1} to some rational number. We let N_p/q denote the image of this evaluation function.
Victor Marsault
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Semantic Numeration Systems as Information Tools
Proceedings, 2022 We propose the concept of a semantic numeration system (SNS) as a certain class of context-based numeration methods. The development of the SNS concept required the introduction of fundamentally new concepts such as a cardinal abstract entity, a cardinal
Alexander Chunikhin
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Numeral order and the operationalization of the numerical system
Quarterly Journal of Experimental Psychology, 2021 Recent years have witnessed an increase in research on how numeral ordering skills relate to children’s and adults’ mathematics achievement both cross-sectionally and longitudinally. Nonetheless, it remains unknown which core competency numeral ordering tasks measure, which cognitive mechanisms underlie performance on these tasks, and why numeral ...
David Muñez +3 more
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Addition and multiplication of beta-expansions in generalized Tribonacci base [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We study properties of β-numeration systems, where β > 1 is the real root of the polynomial x3 - mx2 - x - 1, m ∈ ℕ, m ≥ 1. We consider arithmetic operations on the set of β-integers, i.e., on the set of numbers whose greedy expansion in base β has no ...
Petr Ambrož +2 more
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Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 The aim of this paper is to give an overview of recent results about tilings, discrete approximations of lines and planes, and Markov partitions for toral automorphisms.The main tool is a generalization of the notion of substitution.
Pierre Arnoux +3 more
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From positional representation of numbers to positional representation of vectors
Acta Polytechnica, 2023 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.
Izabella Ingrid Farkas +2 more
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A HINDU-ARABIC TO HAUSA NUMBER TRANSCRIPTION SYSTEM [PDF]
Malaysian Journal of Computing, 2021 The invention of the numeration system is regarded as one of man's great accomplishments. It greatly helps man express his communication needs and serves as an important tool in language pedagogy, historical linguistics, comparative study of African ...
Safiriyu Ijiyemi Eludiora +1 more
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