diff --git a/module2/exo1/toy_notebook_en.ipynb b/module2/exo1/toy_notebook_en.ipynb index e20592e396fbc274178711967ffc6ca1df48308f..56e3d427c703f7865bd656f1993ecdc53395f4f7 100644 --- a/module2/exo1/toy_notebook_en.ipynb +++ b/module2/exo1/toy_notebook_en.ipynb @@ -5,9 +5,7 @@ "metadata": {}, "source": [ "# On the computation of $\\pi$\n", - "\n", "## Asking the maths library\n", - "\n", "My computer tells me that $\\pi$ is *approximatively*" ] }, @@ -34,7 +32,6 @@ "metadata": {}, "source": [ "## Buffon’s needle\n", - "\n", "Applying the method of [Buffon’s needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the **approximation**" ] }, @@ -68,7 +65,6 @@ "metadata": {}, "source": [ "## Using a surface fraction argument\n", - "\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 ∼ U(0, 1)* and *Y ∼ U(0, 1)*, then *P\\[X2 + Y2 ≤ 1\\] = π/4* (see [\"Monte Carlo method\" on Wikipedia)](https://en.wikipedia.org/wiki/Monte_Carlo_method). The following code uses this approach:" ] }, @@ -111,8 +107,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "It is then straightforward to obtain a (not really good) approximation to $\\pi$ by counting how many times, on average, X2 + Y2\n", - "is smaller than 1:" + "It is then straightforward to obtain a (not really good) approximation to $\\pi$ by counting how many times, on average, X2 + Y2 is smaller than 1:" ] }, {