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f19ab65944213c8c0d6e28e3b6b11137
mooc-rr
Commits
47a3e616
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47a3e616
authored
Oct 09, 2021
by
f19ab65944213c8c0d6e28e3b6b11137
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toy_notebook_fr.ipynb
module2/exo1/toy_notebook_fr.ipynb
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module2/exo1/toy_notebook_fr.ipynb
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47a3e616
{
{
"cells": [],
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# À propos du calcul de π\n",
"## En demandant à la lib maths\n",
"Mon ordinateur m’indique que πvaut approximativement"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"3.141592653589793\n"
]
}
],
"source": [
"from math import *\n",
"print(pi)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# En utilisant la méthode des aiguilles de Buffon\n",
"Mais calculé avec la méthode des aiguilles de Buffon, on obtiendrait comme approximation :"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3.128911138923655"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"np.random.seed(seed=42)\n",
"N = 10000\n",
"x = np.random.uniform(size=N, low=0, high=1)\n",
"theta = np.random.uniform(size=N, low=0, high=pi/2)\n",
"2/(sum((x+np.sin(theta))>1)/N)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"metadata": {
"kernelspec": {
"kernelspec": {
"display_name": "Python 3",
"display_name": "Python 3",
...
@@ -16,10 +84,9 @@
...
@@ -16,10 +84,9 @@
"name": "python",
"name": "python",
"nbconvert_exporter": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"pygments_lexer": "ipython3",
"version": "3.6.
3
"
"version": "3.6.
4
"
}
}
},
},
"nbformat": 4,
"nbformat": 4,
"nbformat_minor": 2
"nbformat_minor": 2
}
}
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