英语词汇Stirling approximation怎么读，是什么意思，单词翻译、读音、固定搭配用法和短语词组及例句-英汉双解词典

　

单词	Stirling approximation
释义	Stirling approximation 中文百科斯特灵公式 Stirling's approximation （重定向自Stirling approximation）斯特灵公式是一条用来取n阶乘近似值的数学公式。一般来说，当n很大的时候，n阶乘的计算量十分大，所以斯特灵公式十分好用，而且，即使在n很小的时候，斯特灵公式的取值已经十分准确。公式为： $n! \approx \sqrt{2\pi n}\, \left(\frac{n}{e}\right)^{n}.$ 这就是说，对于足够大的整数n，这两个数互为近似值。更加精确地： $\lim_{n \rightarrow \infty} {\frac{n!}{\sqrt{2\pi n}\, \left(\frac{n}{e}\right)^{n}}} = 1$ 或 $\lim_{n \rightarrow \infty} {\frac{e^n\, n!}{n^n \sqrt{n}}} = \sqrt{2 \pi}.$ 英语百科 Stirling's approximation 斯特灵公式（重定向自Stirling approximation） In mathematics, Stirling's approximation (or Stirling's formula) is an approximation for factorials. It is a very powerful approximation, leading to accurate results even for small values of $n$ . It is named after James Stirling, though it was first stated by Abraham de Moivre.
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