Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical approximation
|
| gptkbp:appliesTo |
large n
|
| gptkbp:asymptoticExpansion |
n! ~ sqrt(2πn) (n/e)^n [1 + 1/(12n) + 1/(288n^2) - ...]
|
| gptkbp:category |
special functions
asymptotic approximations |
| gptkbp:estimatedCost |
factorial function
|
| gptkbp:field |
gptkb:mathematics
statistics asymptotic analysis |
| gptkbp:firstPublished |
1730
|
| gptkbp:form |
n! ≈ sqrt(2πn) (n/e)^n
|
| gptkbp:generalizes |
gptkb:Stirling's_series
|
| https://www.w3.org/2000/01/rdf-schema#label |
Stirling's approximation
|
| gptkbp:namedAfter |
gptkb:James_Stirling
|
| gptkbp:relatedTo |
gptkb:de_Moivre's_formula
gptkb:gamma_function |
| gptkbp:usedFor |
approximating large factorials
|
| gptkbp:usedIn |
gptkb:information_theory
gptkb:probability_theory gptkb:statistical_mechanics combinatorics |
| gptkbp:bfsParent |
gptkb:gamma_function
gptkb:Gamma_function |
| gptkbp:bfsLayer |
6
|