Results 1 to 10 of about 2,797 (167)
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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Ambiguity in the m-bonacci numeration system [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We study the properties of the function R (m) (n) defined as the number of representations of an integer n as a sum of distinct m-Bonacci numbers F (m) k, given by F i (m) =2 i-1, for i∈ { 1, 2, …, m}, F k+m (m) =F k+m-1 (m) +F k+m-2
Petra Kocábová +2 more
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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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Desimal, 2023 Minimum Competency Assessment (MCA) is a form of evaluation of the education system launched by the government in order to measure the achievement of students' cognitive learning outcomes in literacy and numeracy abilities.
Siti Masyitoh Azzahra Lubis +1 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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Numeration Systems on a Regular Language [PDF]
Theory of Computing Systems, 2000 Generalizations of linear numeration systems in which the set of natural numbers is recognizable by finite automata are obtained by describing an arbitrary infinite regular language following the lexicographic ordering. For these systems of numeration, we show that ultimately periodic sets are recognizable.
Lecomte, Pierre, Rigo, Michel
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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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Diophantine Approximation, Ostrowski Numeration and the Double-Base Number System [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Analysis of ...
Valerie Berthe, Laurent Imbert
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