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单词 composition
释义

composition

(of a number) A composition of the positive integer n is obtained by writing

n = n1 + n2 + … + nk,

where n1, n2,…, nk are positive integers, and the order in which n1, n2,…, nk matters. The number of compositions of n equals 2n–1. For example the compositions of 4 are

4 = 3 + 1 = 1 + 3 = 2 + 2 = 2 + 1 + 1 = 1 + 2 + 1 = 1 + 1 + 2 = 1 + 1 + 1 + 1.

See partition.

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更新时间:2025/5/20 3:45:57