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Proof of Stirling formula
2022-07-06 03:48:00 【Harris-H】
Proof of Stirling formula
0. introduction
Stirling's formula (Stirling’s approximation) It's one for taking n Of Factorial Of Approximate value Mathematical formula of . Generally speaking , The computational complexity of factorial is linear . When it comes to something very big n Factorial time , The complexity of common methods is unacceptable . Stirling formula can reduce the complexity of solving factorial to logarithmic order . and , Even in n When I was very young , The value of Stirling formula is very accurate .
1. prove
2. utilize Wallis The formula ,
About the step of integral expansion and contraction
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