partition

it means to divide something into equal or unequal parts. however...

In number theory, a partition of a positive integer n is a way of writing n as a sum of positive integers.

In number theory, a partition of a positive integer n is a way of writing n as a sum of positive integers. Two sums which only differ in the order of their summands are considered to be the same partition; if order matters then the sum becomes a composition. A summand in a partition is also called a part. The number of partitions of n is given by the partition function p(n).

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