diff --git a/module2/exo1/toy_notebook_en.ipynb b/module2/exo1/toy_notebook_en.ipynb index f71d803cf4d570311cbf18e98cd5b24877d37da8..c1692e6dfdcc26b97071ed602e4a18866c33f299 100644 --- a/module2/exo1/toy_notebook_en.ipynb +++ b/module2/exo1/toy_notebook_en.ipynb @@ -25,7 +25,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - " **1.1 Asking the maths library**\n", + " **1.1 Asking the maths library**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ " My computer tells me that $\\pi$ is *approximatively*" ] }, @@ -51,7 +57,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "**1.2 Buffon's needle**\n", + "**1.2 Buffon's needle**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ "Applying the method of [Buffon's needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the __approximation__" ] }, @@ -84,7 +96,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "**1.3 Using a surface fraction argument**\n", + "**1.3 Using a surface fraction argument**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ "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:" ] },