Definition
If p1,p2,… and q1,q2,… are partitions of n, with the parts arranged in the weakly decreasing order, then p precedes q in the dominance order if for any k ≥ 1, the sum of the k largest parts of p is less than or equal to the sum of the k largest parts of q:
In this definition, partitions are extended by appending zero parts at the end as necessary.
Read more about this topic: Dominance Order
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—François, Duc De La Rochefoucauld (1613–1680)
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—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on “life” (based on wording in the First Edition, 1935)