Study of the Monte Carlo method in simulations for the estimation of the π value

Vargas, J. C.; Cruz-Carpio, Carlos Andrés

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Revista Boliviana de Física

On-line version ISSN 1562-3823

Abstract

VARGAS, J. C. and CRUZ-CARPIO, Carlos Andrés. Study of the Monte Carlo method in simulations for the estimation of the π value. Revista Boliviana de Física [online]. 2020, vol.36, n.36, pp.26-32. ISSN 1562-3823.

Abstract This article presents the result of three dierent methodologies that estimate the π value using the Monte Carlos simulation: the comparative areas method, the method proposed by Buffon and the Laplaces extension. The three cases were developed in Python - a high level language and Numpy library which give it an optimized performance. The non-deterministic result of the simulations was studied in detail and it was shown that they comply with the fundamental theorems of probability.

Keywords : Education; Monte Carlo methods; simulations.

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