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Numerical schemes

2010
Y.-L. Chuang, F. Jin, S. M. Wise
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General numeration I. Gauged schemes

Given a sequence of pairs \(\{(G_ i,D_ i)\}\) of natural numbers, where the \(G_ i\) are strictly increasing. Sums of the form \(\sum n_ iG_ i,\) \(0\leq n_ i\leq D_ i\) are considered here. The mapping \((n_ k,...,n_ 0)\to \sum_{i\leq k}n_ iG_ i\) from a set M of numerals, called 'Neugebauer symbols', satisfying \(0\leq n_ i\leq D_ i\) into the set W ...
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