From 8d9b98e1325a9ce1ddfb302cd93cecd6fb1e01f4 Mon Sep 17 00:00:00 2001 From: a1b871d0ecf115713a1a78157e18e70b Date: Thu, 6 May 2021 16:40:48 +0000 Subject: [PATCH] This one is just nitpicking --- module2/exo1/toy_notebook_en.ipynb | 13 +++++-------- 1 file changed, 5 insertions(+), 8 deletions(-) diff --git a/module2/exo1/toy_notebook_en.ipynb b/module2/exo1/toy_notebook_en.ipynb index 42bd493..2e53c55 100644 --- a/module2/exo1/toy_notebook_en.ipynb +++ b/module2/exo1/toy_notebook_en.ipynb @@ -37,8 +37,8 @@ "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__" ] }, { @@ -71,13 +71,12 @@ "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 $[X^2 + Y^2 \\le 1] = \\pi/4$ (see [\"Monte Carlo method\"\n", - "on Wikipedia](https://en.wikipedia.org/wiki/Monte_Carlo_method)). The following code uses this approach:" + "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:" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -94,7 +93,6 @@ } ], "source": [ - "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "np.random.seed(seed=42)\n", @@ -115,8 +113,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "It is then straightforward to obtain a (not really good) approximation to $\\pi$ by counting how\n", - "many times, on average, $X^2 + Y^2$ is smaller than $1$:" + "It is then straightforward to obtain a (not really good) approximation to $\\pi$ by counting how many times, on average, $X^2 + Y^2$ is smaller than 1:" ] }, { -- 2.18.1