46 lines
825 B
Markdown
46 lines
825 B
Markdown
|
<!-- Note: This file is automatically generated from source code comments. Changes made in this file will be overridden. -->
|
||
|
|
|
||
|
|
# Function bellNumbers
|
||
|
|
|
||
|
|
The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S.
|
||
|
|
bellNumbers only takes integer arguments.
|
||
|
|
The following condition must be enforced: n >= 0
|
||
|
|
|
||
|
|
|
||
|
|
## Syntax
|
||
|
|
|
||
|
|
```js
|
||
|
|
math.bellNumbers(n)
|
||
|
|
```
|
||
|
|
|
||
|
|
### Parameters
|
||
|
|
|
||
|
|
Parameter | Type | Description
|
||
|
|
--------- | ---- | -----------
|
||
|
|
`n` | Number | BigNumber | Total number of objects in the set
|
||
|
|
|
||
|
|
### Returns
|
||
|
|
|
||
|
|
Type | Description
|
||
|
|
---- | -----------
|
||
|
|
Number | BigNumber | B(n)
|
||
|
|
|
||
|
|
|
||
|
|
### Throws
|
||
|
|
|
||
|
|
Type | Description
|
||
|
|
---- | -----------
|
||
|
|
|
||
|
|
|
||
|
|
## Examples
|
||
|
|
|
||
|
|
```js
|
||
|
|
math.bellNumbers(3) // returns 5
|
||
|
|
math.bellNumbers(8) // returns 4140
|
||
|
|
```
|
||
|
|
|
||
|
|
|
||
|
|
## See also
|
||
|
|
|
||
|
|
[stirlingS2](stirlingS2.md)
|