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)
“Old age equalizes—we are aware that what is happening to us has happened to untold numbers from the beginning of time. When we are young we act as if we were the first young people in the world.”
—Eric Hoffer (1902–1983)
“Fine art, that exists for itself alone, is art in a final state of impotence. If nobody, including the artist, acknowledges art as a means of knowing the world, then art is relegated to a kind of rumpus room of the mind and the irresponsibility of the artist and the irrelevance of art to actual living becomes part and parcel of the practice of art.”
—Angela Carter (1940–1992)