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+title: "Estimations de π avec R"
+author: "Votre nom"
+date: "`r format(Sys.Date(), '%d %B %Y')`"
+output: html_document
+---
+
+```{r setup, include=FALSE}
+knitr::opts_chunk$set(echo = TRUE, message = FALSE, warning = FALSE)
+library(ggplot2)
+piset.seed(42)
+N <- 100000
+x <- runif(N)
+theta <- pi / 2 * runif(N)
+pi_buffon <- 2 / mean(x + sin(theta) > 1)
+pi_buffon
+set.seed(42)
+N <- 1000
+df <- data.frame(X = runif(N), Y = runif(N))
+df$Accept <- (df$X^2 + df$Y^2 <= 1)
+ggplot(df, aes(x = X, y = Y, color = Accept)) +
+  geom_point(alpha = 0.2) +
+  coord_fixed() +
+  theme_bw()
+
+
+---
+