Update toy_document_en.Rmd

module2/exo1/toy_document_en.Rmd

@@ -5,18 +5,17 @@ date: "25 juin 2018"
 output: html_document
 ---
 
-
 ```{r setup, include=FALSE}
 knitr::opts_chunk$set(echo = TRUE)
 ```
 
 ## Asking the maths library
-My computer tells me thay $\pi$ is *approximatively*
+My computer tells me that $\pi$ is *approximatively*
 ```{r}
 pi
 ```
 
-##Buffon's needle
+## Buffon's needle
 Applying the method of [Buffon's needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the __approximation__
 ```{r}
 set.seed(42)
@@ -26,7 +25,7 @@ theta = pi/2*runif(N)
 2/(mean(x+sin(theta)>1))
 ```
 
-##Using a surface fraction argument
+## Using a surface fraction argument
 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)