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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 @@
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@@ -70,7 +70,7 @@
"## 1.3 Using a surface fraction argument\n",
"## 1.3 Using a surface fraction argument\n",
"\n",
"\n",
"A method that is easier to understand and does not make use of the sin function is based on the\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:"
"on Wikipedia](https://en.wikipedia.org/wiki/Monte_Carlo_method)). The following code uses this approach:"
]
]
},
},
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@@ -115,7 +115,7 @@
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@@ -115,7 +115,7 @@
"outputs": [],
"outputs": [],
"source": [
"source": [
"It is then straightforward to obtain a (not really good) approximation to π by counting how\n",
"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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