18h59

parent d50d4188
...@@ -42,7 +42,7 @@ ...@@ -42,7 +42,7 @@
}, },
"source": [ "source": [
"## En utilisant la méthode des aiguilles de Buffon \n", "## En utilisant la méthode des aiguilles de Buffon \n",
"Mais calculé avec la **méthode** des <span style=\"color: #0002e1\">aiguilles de Buffon</span>, on obtiendrait comme **approximation** : " "Mais calculé avec la **méthode** des [Aiguilles de Buffon](https://fr.wikipedia.org/wiki/Aiguille_de_Buffon), on obtiendrait comme **approximation** : "
] ]
}, },
{ {
...@@ -67,9 +67,9 @@ ...@@ -67,9 +67,9 @@
"source": [ "source": [
"import numpy as np\n", "import numpy as np\n",
"np.random.seed(seed=42)\n", "np.random.seed(seed=42)\n",
"N=10000\n", "N = 10000\n",
"x=np.random.uniform(size=N, low=0, high=1)\n", "x = np.random.uniform(size=N, low=0, high=1)\n",
"theta=np.random.uniform(size=N, low=0, high=pi/2)\n", "theta = np.random.uniform(size=N, low=0, high=pi/2)\n",
"2/(sum((x+np.sin(theta))>1)/N)" "2/(sum((x+np.sin(theta))>1)/N)"
] ]
}, },
...@@ -110,12 +110,12 @@ ...@@ -110,12 +110,12 @@
"%matplotlib inline\n", "%matplotlib inline\n",
"import matplotlib.pyplot as plt\n", "import matplotlib.pyplot as plt\n",
"np.random.seed(seed=42)\n", "np.random.seed(seed=42)\n",
"N=1000\n", "N = 1000\n",
"x=np.random.uniform(size=N, low=0, high=1)\n", "x = np.random.uniform(size=N, low=0, high=1)\n",
"y=np.random.uniform(size=N, low=0, high=1)\n", "y = np.random.uniform(size=N, low=0, high=1)\n",
"accept=(x*x+y*y)<=1\n", "accept = (x*x+y*y)<=1\n",
"reject=np.logical_not(accept)\n", "reject = np.logical_not(accept)\n",
"fig, ax=plt.subplots(1)\n", "fig, ax = plt.subplots(1)\n",
"ax.scatter(x[accept], y[accept], c='b', alpha=0.2, edgecolor=None)\n", "ax.scatter(x[accept], y[accept], c='b', alpha=0.2, edgecolor=None)\n",
"ax.scatter(x[reject], y[reject], c='r', alpha=0.2, edgecolor=None)\n", "ax.scatter(x[reject], y[reject], c='r', alpha=0.2, edgecolor=None)\n",
"ax.set_aspect('equal')" "ax.set_aspect('equal')"
......
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