# General numeration I. Gauged schemes.

Revista Matemática Hispanoamericana (1982)

- Volume: 42, Issue: 1-2-3, page 38-50
- ISSN: 0373-0999

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topDubois, D. W.. "General numeration I. Gauged schemes.." Revista Matemática Hispanoamericana 42.1-2-3 (1982): 38-50. <http://eudml.org/doc/39825>.

@article{Dubois1982,

abstract = {The paper deals with special partitions of whole numbers in the following form: given a sequence of pairs \{[Gi;Di]\} of positive integers in which the Gi form a strictly increasing sequence, sums of the form ∑niGi, with 0 ≤ ni ≤ Di, are considered. The correspondence[nk ... n0] → ∑i≤k niGidefines then a mapping α from a set M of numerals, called Neugebauer symbols, satisfying 0 ≤ ni ≤ Di, into the set W of all non-negative integers. In M, initial zeros are supressed and M is ordered in the usual numerical order. Such an α is called a gauged scheme.},

author = {Dubois, D. W.},

journal = {Revista Matemática Hispanoamericana},

keywords = {Esquemas calibradores; Sistemas de numeración; Neugebauer symbols; sequence of pairs; gauged scheme},

language = {eng},

number = {1-2-3},

pages = {38-50},

title = {General numeration I. Gauged schemes.},

url = {http://eudml.org/doc/39825},

volume = {42},

year = {1982},

}

TY - JOUR

AU - Dubois, D. W.

TI - General numeration I. Gauged schemes.

JO - Revista Matemática Hispanoamericana

PY - 1982

VL - 42

IS - 1-2-3

SP - 38

EP - 50

AB - The paper deals with special partitions of whole numbers in the following form: given a sequence of pairs {[Gi;Di]} of positive integers in which the Gi form a strictly increasing sequence, sums of the form ∑niGi, with 0 ≤ ni ≤ Di, are considered. The correspondence[nk ... n0] → ∑i≤k niGidefines then a mapping α from a set M of numerals, called Neugebauer symbols, satisfying 0 ≤ ni ≤ Di, into the set W of all non-negative integers. In M, initial zeros are supressed and M is ordered in the usual numerical order. Such an α is called a gauged scheme.

LA - eng

KW - Esquemas calibradores; Sistemas de numeración; Neugebauer symbols; sequence of pairs; gauged scheme

UR - http://eudml.org/doc/39825

ER -

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