Small Set Partitions
Initializing live version
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration shows the partitions of the set into blocks, where and are small. For example, you could split into the blocks , , and . This is written compactly as .[more]
The number of ways of partitioning a set of elements into nonempty subsets (or blocks) is the Stirling number of the second kind, . The total number of ways to partition a set into blocks is the Bell number .[less]
Contributed by: George Beck (March 2011)
Open content licensed under CC BY-NC-SA