Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:contains |
infinite series
|
| gptkbp:convergesTo |
asymptotically
|
| gptkbp:expansion |
logarithm of the factorial function
|
| gptkbp:expressedIn |
ln(n!) = n ln n - n + (1/2) ln(2πn) + Σ [B_{2k}/(2k(2k-1)n^{2k-1})]
|
| gptkbp:field |
gptkb:mathematics
analysis asymptotic analysis |
| gptkbp:first_terms |
-n
(1/2) ln(2πn) n ln n |
| https://www.w3.org/2000/01/rdf-schema#label |
Stirling's series
|
| gptkbp:involves |
gptkb:Bernoulli_numbers
|
| gptkbp:namedAfter |
gptkb:James_Stirling
|
| gptkbp:relatedTo |
gptkb:Stirling's_approximation
|
| gptkbp:usedFor |
approximating factorials
|
| gptkbp:bfsParent |
gptkb:Stirling's_approximation
|
| gptkbp:bfsLayer |
7
|