Update format fix

module2/exo1/toy_document_orgmode_python_en.org

@@ -18,6 +18,9 @@ from math import *
 pi
 #+end_src
 
+#+RESULTS:
+: 3.141592653589793
+
 * Buffon's needle
 Applying the method of [[https://en.wikipedia.org/wiki/Buffon%2527s_needle_problem][Buffon's needle]], we get the *approximation*
 
@@ -30,8 +33,11 @@ theta = np.random.uniform(size=N, low=0, high=pi/2)
 2/(sum((x+np.sin(theta))>1)/N)
 #+end_src
 
+#+RESULTS:
+: 3.128911138923655
+
 * 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 $P[X^2+Y^2\le 1]=\pi/4$ (see [[https://en.wikipedia.org/wiki/Monte_Carlo_method]["Monte Carlo method" on Wikipedia]]). The following code uses this approach:
+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 [[https://en.wikipedia.org/wiki/Monte_Carlo_method]["Monte Carlo method" on Wikipedia]]). The following code uses this approach:
 
 #+begin_src python :results output file :var matplot_lib_filename="figure_pi_mc2.png" :exports both :session *python*
 import matplotlib.pyplot as plt
@@ -53,8 +59,14 @@ plt.savefig(matplot_lib_filename)
 print(matplot_lib_filename)
 #+end_src
 
+#+RESULTS:
+[[file:figure_pi_mc2.png]]
+
 It is then straightforward to obtain a (not really good) approximation to $\pi$ by counting how many times, on average, $X^2+Y^2$ is smaller than 1:
 
 #+begin_src python :results output :session *python* :exports both
 4*np.mean(accept)
 #+end_src
+
+#+RESULTS:
+: 3.112