Stirling numbers of the second kind count the number of ways to partition a set of n elements into k nonempty subsets. They are denoted by or . The sum
is the nth Bell number.
Using falling factorials, we can characterize the Stirling numbers of the second kind by the identity
Read more about this topic: Stirling Number
Famous quotes containing the words stirling, numbers and/or kind:
“Oh, if thy pride did not our joys control,
What world of loving wonders shouldst thou see!
For if I saw thee once transformed in me,
Then in thy bosom I would pour my soul;”
—William Alexander, Earl O Stirling (1580?–1640)
“The forward Youth that would appear
Must now forsake his Muses dear,
Nor in the Shadows sing
His Numbers languishing.”
—Andrew Marvell (1621–1678)
“So much of left-wing thought is a kind of playing with fire by people who don’t even know that fire is hot.”
—George Orwell (1903–1950)