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Modelos y Simulación para Aproximar el valor de PI

Listed author(s):
  • Gastón A. Addati
  • Fernando Celano
  • Juan Churruarín
Registered author(s):

    El valor de Pi, se sabe que es un valor irracional. Este valor, de infinitas cifras decimales, ha despertado el interés particular de muchos científicos y personas en todo el mundo, sobre todo a lo largo de la historia. Parecería ser que encontrar nuevas cifras decimales del valor de Pi, se ha vuelto a lo largo del tiempo, un desafío más que interesante para muchos matemáticos. En el presente trabajo se diseñarán simulaciones para estimar el valor del número Pi. Se describirán y se utilizarán los modelos denominados: “de agujas de Buffon” y el método de Monte Carlo para ejecutar simulaciones considerando diferentes tamaños o valores como entrada, utilizando números pseudoaleatorios generados por computadora. Una vez obtenidos los resultados, se compararán con el valor real de Pi, para determinar qué tan buenas son las aproximaciones, en función del tamaño de la muestra generada.

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    File URL: http://www.ucema.edu.ar/publicaciones/download/documentos/591.pdf
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    Paper provided by Universidad del CEMA in its series CEMA Working Papers: Serie Documentos de Trabajo. with number 591.

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    Length: 27 pages
    Date of creation: Aug 2016
    Handle: RePEc:cem:doctra:591
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