What is "partition of numbers"

Partition \Par*ti"tion\, n. [F. partition, L. partitio. See Part, v.]

1. The act of parting or dividing; the state of being parted; separation; division; distribution; as, the partition of a kingdom.

   And good from bad find no partition.
   --Shak.

2. That which divides or separates; that by which different things, or distinct parts of the same thing, are separated; separating boundary; dividing line or space; specifically, an interior wall dividing one part or apartment of a house, a compartment of a room, an inclosure, or the like, from another; as, a brick partition; lath and plaster partitions; cubicles with four-foot high partitions.

   No sight could pass Betwixt the nice partitions of the grass.
   --Dryden.

3. A part divided off by walls; an apartment; a compartment. [R.] ``Lodged in a small partition.''
   --Milton.

4. (Law.) The severance of common or undivided interests, particularly in real estate. It may be effected by consent of parties, or by compulsion of law.

5. (Mus.) A score.

   Partition of numbers (Math.), the resolution of integers into parts subject to given conditions.
   --Brande & C.