A partition is a way of writing an Integer as a sum of Positive Integers without regard
to order, possibly subject to one or more additional constraints. Particular types of partition functions include the
Partition Function *P*, giving the number of partitions of a number without regard
to order, and Partition Function *Q*, giving the number of ways of writing the
Integer as a sum of Positive Integers without regard to order with the constraint that
all Integers in each sum are distinct.

**References**

Andrews, G. E. *The Theory of Partitions.* Cambridge, England: Cambridge University Press, 1998.

Dickson, L. E. ``Partitions.'' Ch. 3 in *History of the Theory of Numbers, Vol. 2: Diophantine Analysis.*
New York: Chelsea, pp. 101-164, 1952.

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1999-05-26