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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 +⋯+ xk, xi ≥ 1, i = 1, 2,…, k. The numbers xi are called the
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partition of a set
Ramanujan
- In Srinivasa Ramanujan: Further advances and philosophical reflections
…further advances, especially in the partition of numbers (the number of ways that a positive integer can be expressed as the sum of positive integers; e.g., 4 can be expressed as 4; 3 + 1; 2 + 2; 2 + 1 + 1; and 1 + 1 + 1 +…
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