Number theory MOC

Numeric partition

A partition of a number is just a set of numbers adding to . num In order to have uniqueness, a partition is defined as an infinite sequence in that adds to and is non-increasing.

  1. for all

A graphical portrayal of a partition is a Young diagram.

Ordering

Partitions can be ordered by

  • iff for all
  • iff the first non-vanishing is positive


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