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partition

of an integer

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combinatorial methods of analysis

In combinatorics: Partitions
A partition of a positive integer n is a representation of n as a sum of positive integers n = x₁ + x₂ +⋯+ x_k, x_i ≥ 1, i = 1, 2,…, k. The numbers x_i are called the
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partition of a set

In partition
…and number theory, is the partition of a positive integer—that is, the number of ways that an integer n can be expressed as the sum of k smaller integers. For example, the number of ways of representing the number 7 as the sum of 3 smaller whole numbers (n =…
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