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Monte Carlo methods vary, but tend to follow a particular pattern:
Monte Carlo methods vary, but tend to follow a particular pattern:
蒙特卡罗方法各不相同，但趋于遵循一个特定的模式:
# Define a domain of possible inputs
# Define a domain of possible inputs
Aggregate the results
Aggregate the results
4、汇总结果[[File:Pi 30K.gif|thumb|right| Monte Carlo method applied to approximating the value of {{pi}}.|链接=Special:FilePath/Pi_30K.gif]]
4、汇总结果[[File:Pi 30K.gif|thumb|right| Monte Carlo method applied to approximating the value of {{pi}}.
蒙特卡罗方法应用于估计π值。|链接=Special:FilePath/Pi_30K.gif]]
Monte Carlo method applied to approximating the value of .
Monte Carlo method applied to approximating the value of .
For example, consider a quadrant (circular sector) inscribed in a unit square. Given that the ratio of their areas is π/4, the value of π can be approximated using a Monte Carlo method:<ref name=":9">Kalos, Malvin H.; Whitlock, Paula A. (2008). ''Monte Carlo Methods''. Wiley-VCH. ISBN <bdi>978-3-527-40760-6</bdi>.</ref>
For example, consider a quadrant (circular sector) inscribed in a unit square. Given that the ratio of their areas is π/4, the value of π can be approximated using a Monte Carlo method:<ref name=":9">Kalos, Malvin H.; Whitlock, Paula A. (2008). ''Monte Carlo Methods''. Wiley-VCH. ISBN <bdi>978-3-527-40760-6</bdi>.</ref>