diff --git a/module2/exo1/toy_notebook_en.ipynb b/module2/exo1/toy_notebook_en.ipynb
index cb38e538bb187e8d6fb5a4505865bae4a5803974..6b2de2bde5a87d4bb4f29347ae084c5bb8935309 100644
--- a/module2/exo1/toy_notebook_en.ipynb
+++ b/module2/exo1/toy_notebook_en.ipynb
@@ -4,18 +4,9 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "#
toy_notebook_en\n",
- "\n",
- "March 28, 2019"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# 1 On the computation of $π$\n",
- "## 1.1 Asking the maths library\n",
- "My computer tells me that $π$ is *approximatively*"
+ "# On the computation of $π$\n",
+ "## Asking the maths library\n",
+ "My computer tells me that $\\pi$ is *approximatively*"
]
},
{
@@ -40,7 +31,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "## 1.2 Buffon’s needle\n",
+ "## Buffon’s needle\n",
"Applying the method of [Buffon’s needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the **approximation**"
]
},
@@ -73,9 +64,9 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "## 1.3 Using a surface fraction argument\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",
+ "## Using a surface fraction argument\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 $X \\sim U(0, 1)$ 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:"
]
},
@@ -117,7 +108,7 @@
"metadata": {},
"source": [
"\n",
- "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, $X^2 + Y^2$\n",
"is smaller than 1:"
]