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Wikipedia definition
1. Stirling's approximationIn mathematics, Stirling's approximation (or Stirling's formula) is an approximation for large factorials. It is named after James Stirling. The formula as typically used in applications is The next term in the O(ln) is (1/2)ln(2πn); a more precise variant of the formula is therefore often written Sometimes, bounds for rather than asymptotics are required: one has, for all so for all the ratio is always e.g. between 2.5 and 3.
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