2born (2born) wrote,

Как работает метод Монте-Карло?

Автор предлагает экспериментировать, разрываю бумагу на мелкие клочки:

How does the Monte Carlo method work?: https://arxiv.org/abs/1909.13212

The paper describes the practical work for students visually clarifying the mechanism of the Monte Carlo method applying to approximating the value of Pi. Considering a traditional quadrant (circular sector) inscribed in a square, here we demonstrate the original algorithm for generating random points on the paper: you should arbitrarily tear up a paper blank to small pieces (the first experiment). By the similar way the second experiment (with a preliminary staining procedure by bright colors) can be used to prove the quadratic dependence of the area of a circle on its radius. Manipulations with tearing up a paper as a random sampling algorithm can be applied for solving other teaching problems in physics.
Comments: 17 pages, 6 figures, 2 tables, 2 appendixes
Tags: Мегаучебник или Что я читал и похвалил, постигая статистику, разгребая arXiv'ы

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