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Wiktionary
multipartition
  1. Composed of multiple partitions (in various contexts) v

  2. (context computing English) To logically divide a hard disk into multiple partitions

Wikipedia
Multipartition

In number theory and combinatorics, a multipartition of a positive integer n is a way of writing n as a sum, each element of which is in turn a partition. The concept is also found in the theory of Lie algebras.