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06295db534a9872198b1363b8b12f920
mooc-rr
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1934e4f8
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1934e4f8
authored
Mar 06, 2025
by
06295db534a9872198b1363b8b12f920
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toy_notebook_en.ipynb
module2/exo1/toy_notebook_en.ipynb
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module2/exo1/toy_notebook_en.ipynb
View file @
1934e4f8
...
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@@ -70,7 +70,7 @@
"## 1.3 Using a surface fraction argument\n",
"\n",
"A method that is easier to understand and does not make use of the sin function is based on the\n",
"fact that if *X ∼ U(0, 1)* and *Y ∼ U(0, 1)* then P[X
<sup>2</sup> + Y<sup>2</sup>
≤ 1] = π/4 (see [\"Monte Carlo method\"\n",
"fact that if *X ∼ U(0, 1)* and *Y ∼ U(0, 1)* then P[X
² + Y²
≤ 1] = π/4 (see [\"Monte Carlo method\"\n",
"on Wikipedia](https://en.wikipedia.org/wiki/Monte_Carlo_method)). The following code uses this approach:"
]
},
...
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@@ -115,7 +115,7 @@
"outputs": [],
"source": [
"It is then straightforward to obtain a (not really good) approximation to π by counting how\n",
"many times, on average, X
<sup>2</sup> + Y<sup>2</sup>
is smaller than 1:"
"many times, on average, X
² + Y²
is smaller than 1:"
]
},
{
...
...
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