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

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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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     title = {Partitions of the {Natural} {Numbers}},
     journal = {Canadian mathematical bulletin},
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     doi = {10.4153/CMB-1964-020-1},
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