Geodesic
Partitions of the Natural Numbers
Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 219-236

Voir la notice de l'article provenant de la source Cambridge University Press

We obtain in this article some results concerning partitions of the naturalnumbers, the most important of which is a generalization of that quotedimmediately below. Some intuitive material is included. In 1954, J. Lambek and L. Moser [l] showed that "Two non-decreasingsequences f and g (of non-negative integers) are inverses if and only if thecorresponding sets F and G of positive integers, defined by F(m) = the mthelement of F = f(m) + m and G(n) = g(n) + n are complementary." 
Angel, Myer. Partitions of the Natural Numbers. Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 219-236. doi: 10.4153/CMB-1964-020-1
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[1] 1. Lambek, J. and Moser, L., Inverse and Complementary Sequences of Natural Numbers, Amer. Math. Monthly, Vol.61, No.7, 1954, pp.454–458. Google Scholar

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