Update toy_document_orgmode_R_en.org

module2/exo1/toy_document_orgmode_R_en.org

 #+TITLE:   "À propos de pi"
-#+AUTHOR: Your name
-#+DATE:   Today's date
+#+AUTHOR: JK
+#+DATE:   2025-July 
 #+LANGUAGE: en
-# #+PROPERTY: header-args :eval never-export
 
-#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="http://www.pirilampo.org/styles/readtheorg/css/htmlize.css"/>
-#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="http://www.pirilampo.org/styles/readtheorg/css/readtheorg.css"/>
-#+HTML_HEAD: <script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.3/jquery.min.js"></script>
-#+HTML_HEAD: <script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.4/js/bootstrap.min.js"></script>
-#+HTML_HEAD: <script type="text/javascript" src="http://www.pirilampo.org/styles/lib/js/jquery.stickytableheaders.js"></script>
-#+HTML_HEAD: <script type="text/javascript" src="http://www.pirilampo.org/styles/readtheorg/js/readtheorg.js"></script>
 
-* Some explanations
+* Use R cose for write this part
+#+begin_src R :results output :exports both
+print("Hello world!!!!")
+#+end_src
 
-This is an org-mode document with code examples in R.  Once opened in
-Emacs, this document can easily be exported to HTML, PDF, and Office
-formats. For more information on org-mode, see
-https://orgmode.org/guide/.
+#+RESULTS:
+: [1] "Hello world!!!!"
 
-When you type the shortcut =C-c C-e h o=, this document will be
-exported as HTML. All the code in it will be re-executed, and the
-results will be retrieved and included into the exported document. If
-you do not want to re-execute all code each time, you can delete the #
-and the space before ~#+PROPERTY:~ in the header of this document.
 
-Like we showed in the video, R code is included as follows (and is
-exxecuted by typing ~C-c C-c~):
+#+begin_src R :results output :session *R* :exports both
+print ("π") 
+#+end_src
 
-#+begin_src R :results output :exports both
-print("Hello world!Hello world!Hello world!")
+#+RESULTS:
+: [1] 3.141593
+
+What is "aiguilles de Buffon"
+"aiguilles de Buffon"
+Link [[https://fr.wikipedia.org/wiki/Aiguille_de_Buffon][aiguilles de Buffon]]
+
+
+* Use Phyton to write this part
+Buffon's method 
+#+begin_src python :results value :session *python* :exports both
+pi
+#+end_src
+
+#+RESULTS:
+: [1] 3.141593
+
+
+* Write the code that shows the final diagram (Phyton Code)
+#+begin_src python :results output :session :exports both
+import numpy
+x=numpy.linspace(-15,15)
+print(x)
+#+end_src
+
+#+RESULTS:
+#+begin_example
+[-15.         -14.3877551  -13.7755102  -13.16326531 -12.55102041
+ -11.93877551 -11.32653061 -10.71428571 -10.10204082  -9.48979592
+  -8.87755102  -8.26530612  -7.65306122  -7.04081633  -6.42857143
+  -5.81632653  -5.20408163  -4.59183673  -3.97959184  -3.36734694
+  -2.75510204  -2.14285714  -1.53061224  -0.91836735  -0.30612245
+   0.30612245   0.91836735   1.53061224   2.14285714   2.75510204
+   3.36734694   3.97959184   4.59183673   5.20408163   5.81632653
+   6.42857143   7.04081633   7.65306122   8.26530612   8.87755102
+   9.48979592  10.10204082  10.71428571  11.32653061  11.93877551
+  12.55102041  13.16326531  13.7755102   14.3877551   15.        ]
+#+end_example
+
+Finally, an example for graphical output:
+#+begin_src python :results output file :session :var matplot_lib_filename="./cosxsx.png" :exports results
+import matplotlib.pyplot as plt
+
+plt.figure(figsize=(10,5))
+plt.plot(x,numpy.cos(x)/x)
+plt.tight_layout()
+
+plt.savefig(matplot_lib_filename)
+print(matplot_lib_filename)
 #+end_src
 
 #+RESULTS:
-: [1] "Hello world!"
+[[file:./cosxsx.png]]
 
-And now the same but in an R session. This is the most frequent
-situation, because R is really an interactive language. With a
-session, R's state, i.e. the values of all the variables, remains
-persistent from one code block to the next. The code is still executed
-using ~C-c C-c~.
 
+
+
+* Write the code that shows the final diagram (R Code)
 #+begin_src R :results output :session *R* :exports both
 summary(cars)
 #+end_src
@@ -60,32 +95,3 @@ plot(cars)
 
 #+RESULTS:
 [[file:./cars.png]]
-
-Note the parameter ~:exports results~, which indicates that the code
-will not appear in the exported document. We recommend that in the
-context of this MOOC, you always leave this parameter setting as
-~:exports both~, because we want your analyses to be perfectly
-transparent and reproducible.
-
-Watch out: the figure generated by the code block is /not/ stored in
-the org document. It's a plain file, here named ~cars.png~. You have
-to commit it explicitly if you want your analysis to be legible and
-understandable on GitLab.
-
-Finally, don't forget that we provide in the resource section of this
-MOOC a configuration with a few keyboard shortcuts that allow you to
-quickly create code blocks in R by typing ~<r~ or ~<R~ followed by
-~Tab~.
-
-Now it's your turn! You can delete all this information and replace it
-by your computational document.
-
-
-Write the mathematical formulas
-X = 1 + 1
-
-Print  π -> $pi$
-
-Link : ["aiguilles de Buffon"] (https://fr.wikipedia.org/wiki/Aiguille_de_Buffon).
-
-