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732afbed1f51733fba4ec4ed0e9bd727
mooc-rr
Commits
74a5994a
Commit
74a5994a
authored
Oct 06, 2023
by
732afbed1f51733fba4ec4ed0e9bd727
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Update toy_document_fr.Rmd
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module2/exo1/toy_document_fr.Rmd
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74a5994a
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@@ -5,11 +5,17 @@ date: "25 juin 2018"
output: html_document
---
En demandant à la lib maths, mon ordinateur m'indique que $\pi$ vaut *approximativement* :
```{r setup, include=FALSE}
knitr::opts_chunk$set(echo = TRUE)
```
## En demandant à la lib maths
Mon ordinateur m'indique que $\pi$ vaut *approximativement* :
```{r cars}
pi
```
## En utilisant la méthode des aiguilles de Buffon
Mais calculé avec la __méthode__ des [aiguilles de Buffon](https://fr.wikipedia.org/wiki/Aiguille_de_Buffon), on obtiendrait comme __approximation__ :
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@@ -31,9 +37,12 @@ df = data.frame(X = runif(N), Y = runif(N))
df$Accept = (df$X**2 + df$Y**2 <=1)
library(ggplot2)
ggplot(df, aes(x=X,y=Y,color=Accept)) + geom_point(alpha=.2) + coord_fixed() + theme_bw()
```
Il est alors aisé d'obtenir une approximation (pas terrible) de $\pi$ en comptant combien de fois, en moyenne, $X^2 + Y^2$ est inférieur à 1 :
```
R
```
{r}
4*mean(df$Accept)
```
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