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43800f9eebbeb989c35b6b37774edfea
mooc-rr
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ad1703eb
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ad1703eb
authored
Jul 06, 2025
by
Anton Y.
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task try 4
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toy_document_orgmode_python_en.org
module2/exo1/toy_document_orgmode_python_en.org
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module2/exo1/toy_document_orgmode_python_en.org
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ad1703eb
#+TITLE:
On the computation of pi
#+TITLE: On the computation of pi
#+LANGUAGE: en
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="http://www.pirilampo.org/styles/readtheorg/css/htmlize.css"/>
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@@ -32,9 +32,9 @@ theta = np.random.uniform(size=N, low=0, high=pi/2)
* 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
$\sin$ 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:
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
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