In mathematics, Stirling numbers arise in a variety of analytic and combinatorial problems. They are named after James Stirling, who introduced them in...

particularly in combinatorics, a Stirling number of the second kind (or Stirling partition number) is the number of ways to partition a set of n objects...

especially in combinatorics, Stirling numbers of the first kind arise in the study of permutations. In particular, the Stirling numbers of the first kind...

Bridge and the port. Located on the River Forth, Stirling is the administrative centre for the Stirling council area, and is traditionally the county town...

the regenerator is what differentiates a Stirling engine from other closed-cycle hot air engines. In the Stirling engine, a working fluid (e.g. air) is heated...

abandoned, the S.29, which later received the name Stirling, proceeded to production. In early 1941, the Stirling entered squadron service. During its use as...

Lindsey Stirling (b. 1986)". GCD. February 23, 2022. Retrieved February 23, 2022. Stirling, Lindsey. "Previous Performances". LindseyStirling.com. Archived...

of 6). 50 is a Stirling number of the first kind: [ 5 2 ] = 50 {\displaystyle \left[{5 \atop 2}\right]=50} and also a Narayana number: N ⁡ ( 6 , 3 ) =...

is the Stirling number of the second kind, also denoted S(n,k) (with a capital S), which is the number of partitions of a set of size...

even for small values of n {\displaystyle n} . It is named after James Stirling, though a related but less precise result was first stated by Abraham de...