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ee86fa7a3582ca7f1b880e3ab22059ce
mooc-rr
Commits
c9e18170
Commit
c9e18170
authored
Jun 09, 2021
by
ee86fa7a3582ca7f1b880e3ab22059ce
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change of math
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c26a9894
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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 @
c9e18170
...
@@ -8,7 +8,7 @@
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@@ -8,7 +8,7 @@
"\n",
"\n",
"March 28, 2019\n",
"March 28, 2019\n",
"\n",
"\n",
"# 1 On the computation of
π
\n",
"# 1 On the computation of
$\\pi$
\n",
"\n",
"\n",
"## 1.1 Asking the maths library\n",
"## 1.1 Asking the maths library\n",
"\n",
"\n",
...
@@ -73,8 +73,8 @@
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@@ -73,8 +73,8 @@
"## 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 2 + Y 2 ≤ 1 ] = π/4 (see (\"
Monte Carlo method\"\n",
"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 (\"[
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:"
]
]
},
},
{
{
...
@@ -115,8 +115,8 @@
...
@@ -115,8 +115,8 @@
"cell_type": "markdown",
"cell_type": "markdown",
"metadata": {},
"metadata": {},
"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
$\\pi$
by counting how\n",
"many times, on average,
X 2 + Y 2
is smaller than 1:"
"many times, on average,
$X^2 + Y^2$
is smaller than 1:"
]
]
},
},
{
{
...
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