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searching for Stirling's approximation 6 found (78 total)

alternate case: stirling's approximation

Abraham de Moivre (5,994 words) [view diff] exact match in snippet view article find links to article

1730), p. 99. The roles of de Moivre and Stirling in finding Stirling's approximation are presented in: Gélinas, Jacques (24 January 2017) "Original

Sackur–Tetrode equation (1,125 words) [view diff] exact match in snippet view article find links to article

{3}{2}}\right]+{\frac {5}{2}}\end{aligned}}} The derivation uses Stirling's approximation, ln ⁡ N ! ≈ N ln ⁡ N − N {\displaystyle \ln N!\approx N\ln N-N}

Thermal fluctuations (1,693 words) [view diff] exact match in snippet view article find links to article

^{m-1}m}{{\sqrt {2\pi m}}m^{m}e^{-m}}}} . The denominator is exactly Stirling's approximation for m ! = Γ ( m + 1 ) {\displaystyle m!=\Gamma (m+1)} , and if

Brownian motion (7,071 words) [view diff] exact match in snippet view article find links to article

{n}{2}}\right)!\right]^{2}}}.} If n is large enough so that Stirling's approximation can be used in the form n ! ≈ ( n e ) n 2 π n , {\displaystyle

Generalized beta distribution (4,406 words) [view diff] exact match in snippet view article find links to article

{\displaystyle q} → {\displaystyle \to } ∞ {\displaystyle \infty } , with Stirling's approximation for the gamma function, yielding the following function: M G G

List of numerical analysis topics (8,344 words) [view diff] exact match in snippet view article find links to article

Lanczos approximation Spouge's approximation — modification of Stirling's approximation; easier to apply than Lanczos AGM method — computes arithmetic–geometric