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Additive Functions with Respect to Numeration Systems on Regular Languages
Monatshefte Fur Mathematik, 2003 peer reviewedAsymptotic formulae for the summatory function of additive arithmetic functions related to numeration systems given by regular languages are ...
Peter J Grabner +2 more
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Arrays, numeration systems and Frankenstein games
Theoretical Computer Science, 2002 We define an infinite array A of nonnegative integers based on a linear recurrence, whose second row provides basis elements of an exotic ternary numeration system. Using the numeration system we explore many properties of A.
Aviezri S Fraenkel
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Generalization of automatic sequences for numeration systems on a regular language
Theoretical Computer Science, 2000 peer reviewedLet L be an infinite regular language on a totally ordered alphabet (Σ,
Michel Rigo
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1975 IEEE 3rd Symposium on Computer Arithmetic (ARITH), 1975
A new system of numerals is introduced for representing numbers in base 2N for N≤8. The new notation greatly simplifies arithmetical operations on numbers. For examples for, N=3(4) one obtains a notation for octal (hexadecimal) numbers in which one can perform addition and multiplication much more easily than in the standard notation.
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A new system of numerals is introduced for representing numbers in base 2N for N≤8. The new notation greatly simplifies arithmetical operations on numbers. For examples for, N=3(4) one obtains a notation for octal (hexadecimal) numbers in which one can perform addition and multiplication much more easily than in the standard notation.
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Greedy Numeration Systems and Regularity
Theory of Computing Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A representational analysis of numeration systems
Cognition, 1995This article explores the representational structures of numeration systems and the cognitive factors of the representational effect in numerical tasks, focusing on external representations and their interactions with internal representations. Numeration systems are analyzed at four levels: dimensionally, dimensional representations, bases, and symbol ...
J, Zhang, D A, Norman
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2011
We survey various results concerning abstract numeration systems. We begin with the classical case of the integer base numeration systems, then examine the more general case of linear numeration systems. Finally we discuss abstract numeration systems, which generalize even further the two previous classes of numeration systems.
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We survey various results concerning abstract numeration systems. We begin with the classical case of the integer base numeration systems, then examine the more general case of linear numeration systems. Finally we discuss abstract numeration systems, which generalize even further the two previous classes of numeration systems.
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Numeration Systems. Binary Numeration
1973The concept of a number is one of the fundamental concepts of arithmetic and of mathematics in general. At this stage, it is neither intended to trace back the history of this notion, nor to describe the evolution which has led to the perfectly axiomatic definitions currently in use.
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On the numerical solution of stiff systems
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nuran Guzel, Mustafa Bayram
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