diff --git a/module2/exo1/toy_notebook_en.ipynb b/module2/exo1/toy_notebook_en.ipynb index 64d83b5e7f333bd1fc0f9c684701aa93c634d8e6..258ce502d607edeefbfceb66dd4b742ee799319c 100644 --- a/module2/exo1/toy_notebook_en.ipynb +++ b/module2/exo1/toy_notebook_en.ipynb @@ -11,13 +11,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Asking the maths library" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "## Asking the maths library\n", "My computer tells me that $\\pi$ is *approximatively*" ] }, @@ -43,13 +37,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Buffon’s needle" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "## Buffon’s needle\n", "Applying the method of [Buffon’s needle](https://en.wikipedia.org/wiki/Buffon's_needle_problem), we get the **approximation**" ] }, @@ -82,13 +70,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Using a surface fraction argument" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "## 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:" ] },