diff --git a/module2/exo1/toy_notebook_en.ipynb b/module2/exo1/toy_notebook_en.ipynb index 5ebb10ff323bfc15ea75802752404c3315c4f4ac..954da8b358e591ba7f45d4211aae10a53d6701e6 100644 --- a/module2/exo1/toy_notebook_en.ipynb +++ b/module2/exo1/toy_notebook_en.ipynb @@ -4,7 +4,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# On the computation of $\\pi$\n", + "# On the computation of $\\pi$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ "## Asking the maths library\n", "\n", "My computer tells me that $\\pi$ is *approximatively*" @@ -32,8 +38,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Buffon’s needle\n", - "Applying the method of [Buffon’s needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the __approximation__" + "## Buffon's needle\n", + "Applying the method of [Buffon's needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the __approximation__" ] }, { @@ -65,7 +71,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Using a surface fraction argument\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 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\" on Wikipedia](https://en.wikipedia.org/wiki/Monte_Carlo_method)). The following code uses this approach:" ] },