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June 18, 2021 13:47
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Obtendo a constante Pi por simulação de pontos no (0,1)x(0,1) e calculando a proporção de pontos dentro da circunferência.
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r <- 0.5 # raio da circunferencia | |
n <- 1E5 | |
x <- runif(n) | |
y <- runif(n) | |
pdentro <- numeric(n) | |
for (i in seq_len(n)) { # contando os pontos dentro da circunferencia | |
pdentro[i] <- ifelse((x[i] - 0.5)^2 + (y[i] - 0.5)^2 <= r^2, 1, 0) | |
} | |
4*sum(pdentro)/n # estimador de Pi |
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