Stirling's approximation

Summary

Stirling's approximation is a theorem^[1]. It ranks in the top 1% of theorem entities by monthly Wikipedia readership (1,026 views/month).^[2]

Key Facts

• Stirling's approximation is credited with the discovery of Abraham de Moivre^[3].
• Stirling's approximation's image is recorded as Mplwp factorial gamma stirling.svg^[4].
• Stirling's approximation's instance of is recorded as theorem^[5].
• James Stirling is named after Stirling's approximation^[6].
• Stirling's approximation's part of is recorded as list of theorems^[7].
• Stirling's approximation's Commons category is recorded as Stirling's approximation^[8].
• Stirling's approximation's Freebase ID is recorded as /m/013rp2^[9].
• Stirling's approximation's facet of is recorded as factorial^[10].
• Stirling's approximation's Gran Enciclopèdia Catalana ID is recorded as 0064179^[11].
• Stirling's approximation's Encyclopædia Britannica Online ID is recorded as topic/Stirlings-formula^[12].
• Stirling's approximation's different from is recorded as Starling equation^[13].
• Stirling's approximation's defining formula is recorded as \ln n! = n\ln n - n +O(\ln n)^[14].
• Stirling's approximation's defining formula is recorded as n\,!\sim \sqrt{2\pi n}\,\left({n \over {\rm e}}\right)^n^[15].
• Stirling's approximation's studied by is recorded as real analysis^[16].
• Stirling's approximation's MathWorld ID is recorded as StirlingsApproximation^[17].
• Stirling's approximation's Great Russian Encyclopedia Online ID is recorded as 4166704^[18].
• Stirling's approximation's Quora topic ID is recorded as Stirlings-Approximation^[19].
• Stirling's approximation's Dictionary of Algorithms and Data Structures ID is recorded as stirlingsApproximation^[20].
• Stirling's approximation's maintained by WikiProject is recorded as WikiProject Mathematics^[21].
• Stirling's approximation's Microsoft Academic ID is recorded as 13438193^[22].
• Stirling's approximation's Brilliant Wiki ID is recorded as stirlings-formula^[23].
• Stirling's approximation's Encyclopedia of Mathematics article ID is recorded as Stirling formula^[24].
• Stirling's approximation's PlanetMath ID is recorded as ProofOfStirlingsApproximation^[25].
• Stirling's approximation's PlanetMath ID is recorded as StirlingsApproximation^[26].
• Stirling's approximation's PlanetMath ID is recorded as WeakerVersionOfStirlingsApproximation^[27].

Body

Works and Contributions

Stirling's approximation is credited with the discovery of Abraham de Moivre^[3].

Why It Matters

Stirling's approximation ranks in the top 1% of theorem entities by monthly Wikipedia readership (1,026 views/month).^[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.^[28] It is known by 50 alternative names across languages and contexts.^[29]