diff --git a/module2/exo1/toy_document_en.Rmd b/module2/exo1/toy_document_en.Rmd index aaf8cc31579bca60970c56da778099a0841b322c..00ce73455b541df7622026c0b73a367f913330f2 100644 --- a/module2/exo1/toy_document_en.Rmd +++ b/module2/exo1/toy_document_en.Rmd @@ -31,7 +31,6 @@ theta = pi/2*runif(N) A method that is easier to understand and does not make use of the $\sin$ function is based on the fact that if $X\sim U(0,1)$ and $Y\sim U(0,1)$, then $P[X^2+Y^2\leq 1] = \pi/4$ (see ["Monte Carlo method" on Wikipedia](https://en.wikipedia.org/wiki/Monte_Carlo_method)). The following code uses this approach: ```{r} - set.seed(42) N = 1000 df = data.frame(X = runif(N), Y = runif(N)) @@ -44,6 +43,5 @@ It is then straightforward to obtain a (not really good) approximation to $\pi$ 1: ```{r} - 4*mean(df$Accept) ``` \ No newline at end of file