Resumen de General numeration I: gauged schemes.

D.W. Dubois

• 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 niGi defines then a mapping a 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 a is called a gauged scheme