## PARTITION

### Partition

In number theory and combinatorics, a partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers. Two sums that differ only in the order of their summands are considered to be the same partition; if order matters then the sum becomes a composition. For example, 4 can be partitioned in five distinct ways:

The above text is a snippet from Wikipedia: Partition (number theory)

### partition

#### Noun

1. An action which divides a thing into parts, or separates one thing from another.
2. A part of something that has been divided.
3. The division of a territory into two or more autonomous ones.
''Monarchies where partition isn't prohibited risk weakening trough parcellation and civil wars between the heirs
4. A vertical structure that divides a room.
a brick partition; lath and plaster partitions
5. That which divides or separates; that by which different things, or distinct parts of the same thing, are separated; boundary; dividing line or space.
6. A part divided off by walls; an apartment; a compartment.
7. The severance of common or undivided interests, particularly in real estate. It may be effected by consent of parties, or by compulsion of law.
8. A section of a hard disk separately formatted.
9. A division of a database or one of its constituting elements such as tables into separate independent parts.
10. A collection of non-empty, disjoint subsets of a set whose union is the set itself (i.e. all elements of the set are contained in exactly one of the subsets).
11. A musical score.

#### Verb

1. To divide something into parts, sections or shares
2. To divide a region or country into two or more territories with separate political status
3. To separate or divide a room by a partition (ex. a wall), often use with off

The above text is a snippet from Wiktionary: partition